MAYBE
Time: 4.145405
TRS:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
DP:
DP:
{
U102#(mark X1, X2, X3) -> U102#(X1, X2, X3),
U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3),
isNatKind# ok X -> isNatKind# X,
active# U102(X1, X2, X3) -> U102#(active X1, X2, X3),
active# U102(X1, X2, X3) -> active# X1,
active# U102(tt(), M, N) -> U103#(isNat N, M, N),
active# U102(tt(), M, N) -> isNat# N,
active# isNatKind plus(V1, V2) -> isNatKind# V1,
active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2),
active# isNatKind x(V1, V2) -> isNatKind# V1,
active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2),
active# isNatKind s V1 -> isNatKind# V1,
active# isNatKind s V1 -> U51# isNatKind V1,
active# U101(X1, X2, X3) -> active# X1,
active# U101(X1, X2, X3) -> U101#(active X1, X2, X3),
active# U101(tt(), M, N) -> U102#(isNatKind M, M, N),
active# U101(tt(), M, N) -> isNatKind# M,
active# U103(X1, X2, X3) -> active# X1,
active# U103(X1, X2, X3) -> U103#(active X1, X2, X3),
active# U103(tt(), M, N) -> isNatKind# N,
active# U103(tt(), M, N) -> U104#(isNatKind N, M, N),
active# isNat plus(V1, V2) -> isNatKind# V1,
active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2),
active# isNat x(V1, V2) -> isNatKind# V1,
active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2),
active# isNat s V1 -> isNatKind# V1,
active# isNat s V1 -> U21#(isNatKind V1, V1),
active# U104(X1, X2, X3) -> active# X1,
active# U104(X1, X2, X3) -> U104#(active X1, X2, X3),
active# U104(tt(), M, N) -> plus#(x(N, M), N),
active# U104(tt(), M, N) -> x#(N, M),
active# plus(N, s M) -> isNat# M,
active# plus(N, s M) -> U81#(isNat M, M, N),
active# plus(N, 0()) -> isNat# N,
active# plus(N, 0()) -> U71#(isNat N, N),
active# plus(X1, X2) -> active# X1,
active# plus(X1, X2) -> active# X2,
active# plus(X1, X2) -> plus#(X1, active X2),
active# plus(X1, X2) -> plus#(active X1, X2),
active# x(N, s M) -> U101#(isNat M, M, N),
active# x(N, s M) -> isNat# M,
active# x(N, 0()) -> isNat# N,
active# x(N, 0()) -> U91#(isNat N, N),
active# x(X1, X2) -> active# X1,
active# x(X1, X2) -> active# X2,
active# x(X1, X2) -> x#(X1, active X2),
active# x(X1, X2) -> x#(active X1, X2),
active# U12(X1, X2, X3) -> active# X1,
active# U12(X1, X2, X3) -> U12#(active X1, X2, X3),
active# U12(tt(), V1, V2) -> isNatKind# V2,
active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2),
active# U11(X1, X2, X3) -> active# X1,
active# U11(X1, X2, X3) -> U11#(active X1, X2, X3),
active# U11(tt(), V1, V2) -> isNatKind# V1,
active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2),
active# U13(X1, X2, X3) -> active# X1,
active# U13(X1, X2, X3) -> U13#(active X1, X2, X3),
active# U13(tt(), V1, V2) -> isNatKind# V2,
active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2),
active# U14(X1, X2, X3) -> active# X1,
active# U14(X1, X2, X3) -> U14#(active X1, X2, X3),
active# U14(tt(), V1, V2) -> isNat# V1,
active# U14(tt(), V1, V2) -> U15#(isNat V1, V2),
active# U15(X1, X2) -> active# X1,
active# U15(X1, X2) -> U15#(active X1, X2),
active# U15(tt(), V2) -> isNat# V2,
active# U15(tt(), V2) -> U16# isNat V2,
active# U16 X -> active# X,
active# U16 X -> U16# active X,
active# U22(X1, X2) -> active# X1,
active# U22(X1, X2) -> U22#(active X1, X2),
active# U22(tt(), V1) -> isNat# V1,
active# U22(tt(), V1) -> U23# isNat V1,
active# U21(X1, X2) -> active# X1,
active# U21(X1, X2) -> U21#(active X1, X2),
active# U21(tt(), V1) -> isNatKind# V1,
active# U21(tt(), V1) -> U22#(isNatKind V1, V1),
active# U23 X -> active# X,
active# U23 X -> U23# active X,
active# U32(X1, X2, X3) -> active# X1,
active# U32(X1, X2, X3) -> U32#(active X1, X2, X3),
active# U32(tt(), V1, V2) -> isNatKind# V2,
active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2),
active# U31(X1, X2, X3) -> active# X1,
active# U31(X1, X2, X3) -> U31#(active X1, X2, X3),
active# U31(tt(), V1, V2) -> isNatKind# V1,
active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2),
active# U33(X1, X2, X3) -> active# X1,
active# U33(X1, X2, X3) -> U33#(active X1, X2, X3),
active# U33(tt(), V1, V2) -> isNatKind# V2,
active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2),
active# U34(X1, X2, X3) -> active# X1,
active# U34(X1, X2, X3) -> U34#(active X1, X2, X3),
active# U34(tt(), V1, V2) -> isNat# V1,
active# U34(tt(), V1, V2) -> U35#(isNat V1, V2),
active# U35(X1, X2) -> active# X1,
active# U35(X1, X2) -> U35#(active X1, X2),
active# U35(tt(), V2) -> isNat# V2,
active# U35(tt(), V2) -> U36# isNat V2,
active# U36 X -> active# X,
active# U36 X -> U36# active X,
active# U42 X -> active# X,
active# U42 X -> U42# active X,
active# U41(X1, X2) -> active# X1,
active# U41(X1, X2) -> U41#(active X1, X2),
active# U41(tt(), V2) -> isNatKind# V2,
active# U41(tt(), V2) -> U42# isNatKind V2,
active# U51 X -> active# X,
active# U51 X -> U51# active X,
active# U62 X -> active# X,
active# U62 X -> U62# active X,
active# U61(X1, X2) -> active# X1,
active# U61(X1, X2) -> U61#(active X1, X2),
active# U61(tt(), V2) -> isNatKind# V2,
active# U61(tt(), V2) -> U62# isNatKind V2,
active# U72(X1, X2) -> active# X1,
active# U72(X1, X2) -> U72#(active X1, X2),
active# U71(X1, X2) -> active# X1,
active# U71(X1, X2) -> U71#(active X1, X2),
active# U71(tt(), N) -> isNatKind# N,
active# U71(tt(), N) -> U72#(isNatKind N, N),
active# U82(X1, X2, X3) -> active# X1,
active# U82(X1, X2, X3) -> U82#(active X1, X2, X3),
active# U82(tt(), M, N) -> isNat# N,
active# U82(tt(), M, N) -> U83#(isNat N, M, N),
active# U81(X1, X2, X3) -> active# X1,
active# U81(X1, X2, X3) -> U81#(active X1, X2, X3),
active# U81(tt(), M, N) -> isNatKind# M,
active# U81(tt(), M, N) -> U82#(isNatKind M, M, N),
active# U83(X1, X2, X3) -> active# X1,
active# U83(X1, X2, X3) -> U83#(active X1, X2, X3),
active# U83(tt(), M, N) -> isNatKind# N,
active# U83(tt(), M, N) -> U84#(isNatKind N, M, N),
active# U84(X1, X2, X3) -> active# X1,
active# U84(X1, X2, X3) -> U84#(active X1, X2, X3),
active# U84(tt(), M, N) -> plus#(N, M),
active# U84(tt(), M, N) -> s# plus(N, M),
active# s X -> active# X,
active# s X -> s# active X,
active# U92 X -> active# X,
active# U92 X -> U92# active X,
active# U91(X1, X2) -> active# X1,
active# U91(X1, X2) -> U91#(active X1, X2),
active# U91(tt(), N) -> isNatKind# N,
active# U91(tt(), N) -> U92# isNatKind N,
U101#(mark X1, X2, X3) -> U101#(X1, X2, X3),
U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3),
U103#(mark X1, X2, X3) -> U103#(X1, X2, X3),
U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3),
isNat# ok X -> isNat# X,
U104#(mark X1, X2, X3) -> U104#(X1, X2, X3),
U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3),
plus#(X1, mark X2) -> plus#(X1, X2),
plus#(mark X1, X2) -> plus#(X1, X2),
plus#(ok X1, ok X2) -> plus#(X1, X2),
x#(X1, mark X2) -> x#(X1, X2),
x#(mark X1, X2) -> x#(X1, X2),
x#(ok X1, ok X2) -> x#(X1, X2),
U12#(mark X1, X2, X3) -> U12#(X1, X2, X3),
U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3),
U11#(mark X1, X2, X3) -> U11#(X1, X2, X3),
U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3),
U13#(mark X1, X2, X3) -> U13#(X1, X2, X3),
U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3),
U14#(mark X1, X2, X3) -> U14#(X1, X2, X3),
U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3),
U15#(mark X1, X2) -> U15#(X1, X2),
U15#(ok X1, ok X2) -> U15#(X1, X2),
U16# mark X -> U16# X,
U16# ok X -> U16# X,
U22#(mark X1, X2) -> U22#(X1, X2),
U22#(ok X1, ok X2) -> U22#(X1, X2),
U21#(mark X1, X2) -> U21#(X1, X2),
U21#(ok X1, ok X2) -> U21#(X1, X2),
U23# mark X -> U23# X,
U23# ok X -> U23# X,
U32#(mark X1, X2, X3) -> U32#(X1, X2, X3),
U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3),
U31#(mark X1, X2, X3) -> U31#(X1, X2, X3),
U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3),
U33#(mark X1, X2, X3) -> U33#(X1, X2, X3),
U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3),
U34#(mark X1, X2, X3) -> U34#(X1, X2, X3),
U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3),
U35#(mark X1, X2) -> U35#(X1, X2),
U35#(ok X1, ok X2) -> U35#(X1, X2),
U36# mark X -> U36# X,
U36# ok X -> U36# X,
U42# mark X -> U42# X,
U42# ok X -> U42# X,
U41#(mark X1, X2) -> U41#(X1, X2),
U41#(ok X1, ok X2) -> U41#(X1, X2),
U51# mark X -> U51# X,
U51# ok X -> U51# X,
U62# mark X -> U62# X,
U62# ok X -> U62# X,
U61#(mark X1, X2) -> U61#(X1, X2),
U61#(ok X1, ok X2) -> U61#(X1, X2),
U72#(mark X1, X2) -> U72#(X1, X2),
U72#(ok X1, ok X2) -> U72#(X1, X2),
U71#(mark X1, X2) -> U71#(X1, X2),
U71#(ok X1, ok X2) -> U71#(X1, X2),
U82#(mark X1, X2, X3) -> U82#(X1, X2, X3),
U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3),
U81#(mark X1, X2, X3) -> U81#(X1, X2, X3),
U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3),
U83#(mark X1, X2, X3) -> U83#(X1, X2, X3),
U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3),
U84#(mark X1, X2, X3) -> U84#(X1, X2, X3),
U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3),
s# mark X -> s# X,
s# ok X -> s# X,
U92# mark X -> U92# X,
U92# ok X -> U92# X,
U91#(mark X1, X2) -> U91#(X1, X2),
U91#(ok X1, ok X2) -> U91#(X1, X2),
proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3),
proper# U102(X1, X2, X3) -> proper# X1,
proper# U102(X1, X2, X3) -> proper# X2,
proper# U102(X1, X2, X3) -> proper# X3,
proper# isNatKind X -> isNatKind# proper X,
proper# isNatKind X -> proper# X,
proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3),
proper# U101(X1, X2, X3) -> proper# X1,
proper# U101(X1, X2, X3) -> proper# X2,
proper# U101(X1, X2, X3) -> proper# X3,
proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3),
proper# U103(X1, X2, X3) -> proper# X1,
proper# U103(X1, X2, X3) -> proper# X2,
proper# U103(X1, X2, X3) -> proper# X3,
proper# isNat X -> isNat# proper X,
proper# isNat X -> proper# X,
proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3),
proper# U104(X1, X2, X3) -> proper# X1,
proper# U104(X1, X2, X3) -> proper# X2,
proper# U104(X1, X2, X3) -> proper# X3,
proper# plus(X1, X2) -> plus#(proper X1, proper X2),
proper# plus(X1, X2) -> proper# X1,
proper# plus(X1, X2) -> proper# X2,
proper# x(X1, X2) -> x#(proper X1, proper X2),
proper# x(X1, X2) -> proper# X1,
proper# x(X1, X2) -> proper# X2,
proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3),
proper# U12(X1, X2, X3) -> proper# X1,
proper# U12(X1, X2, X3) -> proper# X2,
proper# U12(X1, X2, X3) -> proper# X3,
proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3),
proper# U11(X1, X2, X3) -> proper# X1,
proper# U11(X1, X2, X3) -> proper# X2,
proper# U11(X1, X2, X3) -> proper# X3,
proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3),
proper# U13(X1, X2, X3) -> proper# X1,
proper# U13(X1, X2, X3) -> proper# X2,
proper# U13(X1, X2, X3) -> proper# X3,
proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3),
proper# U14(X1, X2, X3) -> proper# X1,
proper# U14(X1, X2, X3) -> proper# X2,
proper# U14(X1, X2, X3) -> proper# X3,
proper# U15(X1, X2) -> U15#(proper X1, proper X2),
proper# U15(X1, X2) -> proper# X1,
proper# U15(X1, X2) -> proper# X2,
proper# U16 X -> U16# proper X,
proper# U16 X -> proper# X,
proper# U22(X1, X2) -> U22#(proper X1, proper X2),
proper# U22(X1, X2) -> proper# X1,
proper# U22(X1, X2) -> proper# X2,
proper# U21(X1, X2) -> U21#(proper X1, proper X2),
proper# U21(X1, X2) -> proper# X1,
proper# U21(X1, X2) -> proper# X2,
proper# U23 X -> U23# proper X,
proper# U23 X -> proper# X,
proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3),
proper# U32(X1, X2, X3) -> proper# X1,
proper# U32(X1, X2, X3) -> proper# X2,
proper# U32(X1, X2, X3) -> proper# X3,
proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3),
proper# U31(X1, X2, X3) -> proper# X1,
proper# U31(X1, X2, X3) -> proper# X2,
proper# U31(X1, X2, X3) -> proper# X3,
proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3),
proper# U33(X1, X2, X3) -> proper# X1,
proper# U33(X1, X2, X3) -> proper# X2,
proper# U33(X1, X2, X3) -> proper# X3,
proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3),
proper# U34(X1, X2, X3) -> proper# X1,
proper# U34(X1, X2, X3) -> proper# X2,
proper# U34(X1, X2, X3) -> proper# X3,
proper# U35(X1, X2) -> U35#(proper X1, proper X2),
proper# U35(X1, X2) -> proper# X1,
proper# U35(X1, X2) -> proper# X2,
proper# U36 X -> U36# proper X,
proper# U36 X -> proper# X,
proper# U42 X -> U42# proper X,
proper# U42 X -> proper# X,
proper# U41(X1, X2) -> U41#(proper X1, proper X2),
proper# U41(X1, X2) -> proper# X1,
proper# U41(X1, X2) -> proper# X2,
proper# U51 X -> U51# proper X,
proper# U51 X -> proper# X,
proper# U62 X -> U62# proper X,
proper# U62 X -> proper# X,
proper# U61(X1, X2) -> U61#(proper X1, proper X2),
proper# U61(X1, X2) -> proper# X1,
proper# U61(X1, X2) -> proper# X2,
proper# U72(X1, X2) -> U72#(proper X1, proper X2),
proper# U72(X1, X2) -> proper# X1,
proper# U72(X1, X2) -> proper# X2,
proper# U71(X1, X2) -> U71#(proper X1, proper X2),
proper# U71(X1, X2) -> proper# X1,
proper# U71(X1, X2) -> proper# X2,
proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3),
proper# U82(X1, X2, X3) -> proper# X1,
proper# U82(X1, X2, X3) -> proper# X2,
proper# U82(X1, X2, X3) -> proper# X3,
proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3),
proper# U81(X1, X2, X3) -> proper# X1,
proper# U81(X1, X2, X3) -> proper# X2,
proper# U81(X1, X2, X3) -> proper# X3,
proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3),
proper# U83(X1, X2, X3) -> proper# X1,
proper# U83(X1, X2, X3) -> proper# X2,
proper# U83(X1, X2, X3) -> proper# X3,
proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3),
proper# U84(X1, X2, X3) -> proper# X1,
proper# U84(X1, X2, X3) -> proper# X2,
proper# U84(X1, X2, X3) -> proper# X3,
proper# s X -> s# proper X,
proper# s X -> proper# X,
proper# U92 X -> U92# proper X,
proper# U92 X -> proper# X,
proper# U91(X1, X2) -> U91#(proper X1, proper X2),
proper# U91(X1, X2) -> proper# X1,
proper# U91(X1, X2) -> proper# X2,
top# mark X -> proper# X,
top# mark X -> top# proper X,
top# ok X -> active# X,
top# ok X -> top# active X
}
TRS:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
EDG:
{
(active# U16 X -> active# X, active# U91(tt(), N) -> U92# isNatKind N)
(active# U16 X -> active# X, active# U91(tt(), N) -> isNatKind# N)
(active# U16 X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U16 X -> active# X, active# U91(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U92 X -> U92# active X)
(active# U16 X -> active# X, active# U92 X -> active# X)
(active# U16 X -> active# X, active# s X -> s# active X)
(active# U16 X -> active# X, active# s X -> active# X)
(active# U16 X -> active# X, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U16 X -> active# X, active# U84(tt(), M, N) -> plus#(N, M))
(active# U16 X -> active# X, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U16 X -> active# X, active# U84(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U16 X -> active# X, active# U83(tt(), M, N) -> isNatKind# N)
(active# U16 X -> active# X, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U16 X -> active# X, active# U83(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U16 X -> active# X, active# U81(tt(), M, N) -> isNatKind# M)
(active# U16 X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U16 X -> active# X, active# U81(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U16 X -> active# X, active# U82(tt(), M, N) -> isNat# N)
(active# U16 X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U16 X -> active# X, active# U82(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U16 X -> active# X, active# U71(tt(), N) -> isNatKind# N)
(active# U16 X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U16 X -> active# X, active# U71(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U16 X -> active# X, active# U72(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U16 X -> active# X, active# U61(tt(), V2) -> isNatKind# V2)
(active# U16 X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U16 X -> active# X, active# U61(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U62 X -> U62# active X)
(active# U16 X -> active# X, active# U62 X -> active# X)
(active# U16 X -> active# X, active# U51 X -> U51# active X)
(active# U16 X -> active# X, active# U51 X -> active# X)
(active# U16 X -> active# X, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U16 X -> active# X, active# U41(tt(), V2) -> isNatKind# V2)
(active# U16 X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U16 X -> active# X, active# U41(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U42 X -> U42# active X)
(active# U16 X -> active# X, active# U42 X -> active# X)
(active# U16 X -> active# X, active# U36 X -> U36# active X)
(active# U16 X -> active# X, active# U36 X -> active# X)
(active# U16 X -> active# X, active# U35(tt(), V2) -> U36# isNat V2)
(active# U16 X -> active# X, active# U35(tt(), V2) -> isNat# V2)
(active# U16 X -> active# X, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U16 X -> active# X, active# U35(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U16 X -> active# X, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U16 X -> active# X, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U16 X -> active# X, active# U34(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U16 X -> active# X, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U16 X -> active# X, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U16 X -> active# X, active# U33(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U16 X -> active# X, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U16 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U16 X -> active# X, active# U31(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U16 X -> active# X, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U16 X -> active# X, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U16 X -> active# X, active# U32(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U23 X -> U23# active X)
(active# U16 X -> active# X, active# U23 X -> active# X)
(active# U16 X -> active# X, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U16 X -> active# X, active# U21(tt(), V1) -> isNatKind# V1)
(active# U16 X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U16 X -> active# X, active# U21(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U22(tt(), V1) -> U23# isNat V1)
(active# U16 X -> active# X, active# U22(tt(), V1) -> isNat# V1)
(active# U16 X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U16 X -> active# X, active# U22(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U16 X -> U16# active X)
(active# U16 X -> active# X, active# U16 X -> active# X)
(active# U16 X -> active# X, active# U15(tt(), V2) -> U16# isNat V2)
(active# U16 X -> active# X, active# U15(tt(), V2) -> isNat# V2)
(active# U16 X -> active# X, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U16 X -> active# X, active# U15(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U16 X -> active# X, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U16 X -> active# X, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U16 X -> active# X, active# U14(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U16 X -> active# X, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U16 X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U16 X -> active# X, active# U13(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U16 X -> active# X, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U16 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U16 X -> active# X, active# U11(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U16 X -> active# X, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U16 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U16 X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(active# U16 X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(active# U16 X -> active# X, active# x(X1, X2) -> active# X2)
(active# U16 X -> active# X, active# x(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# x(N, 0()) -> U91#(isNat N, N))
(active# U16 X -> active# X, active# x(N, 0()) -> isNat# N)
(active# U16 X -> active# X, active# x(N, s M) -> isNat# M)
(active# U16 X -> active# X, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U16 X -> active# X, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U16 X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U16 X -> active# X, active# plus(X1, X2) -> active# X2)
(active# U16 X -> active# X, active# plus(X1, X2) -> active# X1)
(active# U16 X -> active# X, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U16 X -> active# X, active# plus(N, 0()) -> isNat# N)
(active# U16 X -> active# X, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U16 X -> active# X, active# plus(N, s M) -> isNat# M)
(active# U16 X -> active# X, active# U104(tt(), M, N) -> x#(N, M))
(active# U16 X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U16 X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U16 X -> active# X, active# U104(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U16 X -> active# X, active# isNat s V1 -> isNatKind# V1)
(active# U16 X -> active# X, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U16 X -> active# X, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U16 X -> active# X, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U16 X -> active# X, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U16 X -> active# X, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U16 X -> active# X, active# U103(tt(), M, N) -> isNatKind# N)
(active# U16 X -> active# X, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U16 X -> active# X, active# U103(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U101(tt(), M, N) -> isNatKind# M)
(active# U16 X -> active# X, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U16 X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U16 X -> active# X, active# U101(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U16 X -> active# X, active# isNatKind s V1 -> isNatKind# V1)
(active# U16 X -> active# X, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U16 X -> active# X, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U16 X -> active# X, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U16 X -> active# X, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U16 X -> active# X, active# U102(tt(), M, N) -> isNat# N)
(active# U16 X -> active# X, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U16 X -> active# X, active# U102(X1, X2, X3) -> active# X1)
(active# U16 X -> active# X, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U36 X -> active# X, active# U91(tt(), N) -> U92# isNatKind N)
(active# U36 X -> active# X, active# U91(tt(), N) -> isNatKind# N)
(active# U36 X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U36 X -> active# X, active# U91(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U92 X -> U92# active X)
(active# U36 X -> active# X, active# U92 X -> active# X)
(active# U36 X -> active# X, active# s X -> s# active X)
(active# U36 X -> active# X, active# s X -> active# X)
(active# U36 X -> active# X, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U36 X -> active# X, active# U84(tt(), M, N) -> plus#(N, M))
(active# U36 X -> active# X, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U36 X -> active# X, active# U84(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U36 X -> active# X, active# U83(tt(), M, N) -> isNatKind# N)
(active# U36 X -> active# X, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U36 X -> active# X, active# U83(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U36 X -> active# X, active# U81(tt(), M, N) -> isNatKind# M)
(active# U36 X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U36 X -> active# X, active# U81(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U36 X -> active# X, active# U82(tt(), M, N) -> isNat# N)
(active# U36 X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U36 X -> active# X, active# U82(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U36 X -> active# X, active# U71(tt(), N) -> isNatKind# N)
(active# U36 X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U36 X -> active# X, active# U71(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U36 X -> active# X, active# U72(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U36 X -> active# X, active# U61(tt(), V2) -> isNatKind# V2)
(active# U36 X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U36 X -> active# X, active# U61(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U62 X -> U62# active X)
(active# U36 X -> active# X, active# U62 X -> active# X)
(active# U36 X -> active# X, active# U51 X -> U51# active X)
(active# U36 X -> active# X, active# U51 X -> active# X)
(active# U36 X -> active# X, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U36 X -> active# X, active# U41(tt(), V2) -> isNatKind# V2)
(active# U36 X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U36 X -> active# X, active# U41(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U42 X -> U42# active X)
(active# U36 X -> active# X, active# U42 X -> active# X)
(active# U36 X -> active# X, active# U36 X -> U36# active X)
(active# U36 X -> active# X, active# U36 X -> active# X)
(active# U36 X -> active# X, active# U35(tt(), V2) -> U36# isNat V2)
(active# U36 X -> active# X, active# U35(tt(), V2) -> isNat# V2)
(active# U36 X -> active# X, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U36 X -> active# X, active# U35(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U36 X -> active# X, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U36 X -> active# X, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U36 X -> active# X, active# U34(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U36 X -> active# X, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U36 X -> active# X, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U36 X -> active# X, active# U33(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U36 X -> active# X, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U36 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U36 X -> active# X, active# U31(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U36 X -> active# X, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U36 X -> active# X, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U36 X -> active# X, active# U32(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U23 X -> U23# active X)
(active# U36 X -> active# X, active# U23 X -> active# X)
(active# U36 X -> active# X, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U36 X -> active# X, active# U21(tt(), V1) -> isNatKind# V1)
(active# U36 X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U36 X -> active# X, active# U21(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U22(tt(), V1) -> U23# isNat V1)
(active# U36 X -> active# X, active# U22(tt(), V1) -> isNat# V1)
(active# U36 X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U36 X -> active# X, active# U22(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U16 X -> U16# active X)
(active# U36 X -> active# X, active# U16 X -> active# X)
(active# U36 X -> active# X, active# U15(tt(), V2) -> U16# isNat V2)
(active# U36 X -> active# X, active# U15(tt(), V2) -> isNat# V2)
(active# U36 X -> active# X, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U36 X -> active# X, active# U15(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U36 X -> active# X, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U36 X -> active# X, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U36 X -> active# X, active# U14(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U36 X -> active# X, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U36 X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U36 X -> active# X, active# U13(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U36 X -> active# X, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U36 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U36 X -> active# X, active# U11(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
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(active# U36 X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(active# U36 X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(active# U36 X -> active# X, active# x(X1, X2) -> active# X2)
(active# U36 X -> active# X, active# x(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# x(N, 0()) -> U91#(isNat N, N))
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(active# U36 X -> active# X, active# x(N, s M) -> U101#(isNat M, M, N))
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(active# U36 X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U36 X -> active# X, active# plus(X1, X2) -> active# X2)
(active# U36 X -> active# X, active# plus(X1, X2) -> active# X1)
(active# U36 X -> active# X, active# plus(N, 0()) -> U71#(isNat N, N))
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(active# U36 X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U36 X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U36 X -> active# X, active# U104(X1, X2, X3) -> active# X1)
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(active# U36 X -> active# X, active# isNat x(V1, V2) -> isNatKind# V1)
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(active# U36 X -> active# X, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
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(active# U36 X -> active# X, active# U103(X1, X2, X3) -> active# X1)
(active# U36 X -> active# X, active# U101(tt(), M, N) -> isNatKind# M)
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(active# U36 X -> active# X, active# U101(X1, X2, X3) -> active# X1)
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(active# U36 X -> active# X, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
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(active# U51 X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U51 X -> active# X, active# U91(X1, X2) -> active# X1)
(active# U51 X -> active# X, active# U92 X -> U92# active X)
(active# U51 X -> active# X, active# U92 X -> active# X)
(active# U51 X -> active# X, active# s X -> s# active X)
(active# U51 X -> active# X, active# s X -> active# X)
(active# U51 X -> active# X, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U51 X -> active# X, active# U84(tt(), M, N) -> plus#(N, M))
(active# U51 X -> active# X, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U51 X -> active# X, active# U84(X1, X2, X3) -> active# X1)
(active# U51 X -> active# X, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U51 X -> active# X, active# U83(tt(), M, N) -> isNatKind# N)
(active# U51 X -> active# X, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U51 X -> active# X, active# U83(X1, X2, X3) -> active# X1)
(active# U51 X -> active# X, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
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(active# U51 X -> active# X, active# U82(X1, X2, X3) -> active# X1)
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(active# U51 X -> active# X, active# U71(X1, X2) -> active# X1)
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(active# U51 X -> active# X, active# U72(X1, X2) -> active# X1)
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(active# U51 X -> active# X, active# U61(X1, X2) -> active# X1)
(active# U51 X -> active# X, active# U62 X -> U62# active X)
(active# U51 X -> active# X, active# U62 X -> active# X)
(active# U51 X -> active# X, active# U51 X -> U51# active X)
(active# U51 X -> active# X, active# U51 X -> active# X)
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(active# U51 X -> active# X, active# U41(X1, X2) -> active# X1)
(active# U51 X -> active# X, active# U42 X -> U42# active X)
(active# U51 X -> active# X, active# U42 X -> active# X)
(active# U51 X -> active# X, active# U36 X -> U36# active X)
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(active# U51 X -> active# X, active# U33(X1, X2, X3) -> active# X1)
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(active# U51 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U51 X -> active# X, active# U31(X1, X2, X3) -> active# X1)
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(active# U51 X -> active# X, active# U32(X1, X2, X3) -> active# X1)
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(active# U51 X -> active# X, active# U21(X1, X2) -> active# X1)
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(active# U51 X -> active# X, active# U22(X1, X2) -> active# X1)
(active# U51 X -> active# X, active# U16 X -> U16# active X)
(active# U51 X -> active# X, active# U16 X -> active# X)
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(active# U51 X -> active# X, active# U15(X1, X2) -> active# X1)
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(active# U51 X -> active# X, active# U14(X1, X2, X3) -> active# X1)
(active# U51 X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
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(active# U51 X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U51 X -> active# X, active# U13(X1, X2, X3) -> active# X1)
(active# U51 X -> active# X, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
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(active# U51 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U51 X -> active# X, active# U11(X1, X2, X3) -> active# X1)
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(active# U51 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U51 X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(active# U51 X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(active# U51 X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(active# U51 X -> active# X, active# x(X1, X2) -> active# X2)
(active# U51 X -> active# X, active# x(X1, X2) -> active# X1)
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(active# U51 X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U51 X -> active# X, active# plus(X1, X2) -> active# X2)
(active# U51 X -> active# X, active# plus(X1, X2) -> active# X1)
(active# U51 X -> active# X, active# plus(N, 0()) -> U71#(isNat N, N))
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(active# U51 X -> active# X, active# U104(tt(), M, N) -> x#(N, M))
(active# U51 X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U51 X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U51 X -> active# X, active# U104(X1, X2, X3) -> active# X1)
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(active# U51 X -> active# X, active# U101(X1, X2, X3) -> active# X1)
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(active# s X -> active# X, active# U91(X1, X2) -> active# X1)
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(active# s X -> active# X, active# s X -> active# X)
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(active# s X -> active# X, active# U84(X1, X2, X3) -> active# X1)
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(active# s X -> active# X, active# U83(X1, X2, X3) -> active# X1)
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(active# s X -> active# X, active# U81(X1, X2, X3) -> active# X1)
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(active# s X -> active# X, active# U82(X1, X2, X3) -> active# X1)
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(active# s X -> active# X, active# U71(X1, X2) -> active# X1)
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(active# s X -> active# X, active# U72(X1, X2) -> active# X1)
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(active# s X -> active# X, active# U61(X1, X2) -> active# X1)
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(active# s X -> active# X, active# U51 X -> active# X)
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(active# s X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2))
(active# s X -> active# X, active# U41(X1, X2) -> active# X1)
(active# s X -> active# X, active# U42 X -> U42# active X)
(active# s X -> active# X, active# U42 X -> active# X)
(active# s X -> active# X, active# U36 X -> U36# active X)
(active# s X -> active# X, active# U36 X -> active# X)
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(active# s X -> active# X, active# U35(X1, X2) -> U35#(active X1, X2))
(active# s X -> active# X, active# U35(X1, X2) -> active# X1)
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(active# s X -> active# X, active# U34(tt(), V1, V2) -> isNat# V1)
(active# s X -> active# X, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# s X -> active# X, active# U34(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# s X -> active# X, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# s X -> active# X, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# s X -> active# X, active# U33(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# s X -> active# X, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# s X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# s X -> active# X, active# U31(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# s X -> active# X, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# s X -> active# X, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# s X -> active# X, active# U32(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U23 X -> U23# active X)
(active# s X -> active# X, active# U23 X -> active# X)
(active# s X -> active# X, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# s X -> active# X, active# U21(tt(), V1) -> isNatKind# V1)
(active# s X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2))
(active# s X -> active# X, active# U21(X1, X2) -> active# X1)
(active# s X -> active# X, active# U22(tt(), V1) -> U23# isNat V1)
(active# s X -> active# X, active# U22(tt(), V1) -> isNat# V1)
(active# s X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2))
(active# s X -> active# X, active# U22(X1, X2) -> active# X1)
(active# s X -> active# X, active# U16 X -> U16# active X)
(active# s X -> active# X, active# U16 X -> active# X)
(active# s X -> active# X, active# U15(tt(), V2) -> U16# isNat V2)
(active# s X -> active# X, active# U15(tt(), V2) -> isNat# V2)
(active# s X -> active# X, active# U15(X1, X2) -> U15#(active X1, X2))
(active# s X -> active# X, active# U15(X1, X2) -> active# X1)
(active# s X -> active# X, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# s X -> active# X, active# U14(tt(), V1, V2) -> isNat# V1)
(active# s X -> active# X, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# s X -> active# X, active# U14(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# s X -> active# X, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# s X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# s X -> active# X, active# U13(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# s X -> active# X, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# s X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# s X -> active# X, active# U11(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# s X -> active# X, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# s X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# s X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(active# s X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(active# s X -> active# X, active# x(X1, X2) -> active# X2)
(active# s X -> active# X, active# x(X1, X2) -> active# X1)
(active# s X -> active# X, active# x(N, 0()) -> U91#(isNat N, N))
(active# s X -> active# X, active# x(N, 0()) -> isNat# N)
(active# s X -> active# X, active# x(N, s M) -> isNat# M)
(active# s X -> active# X, active# x(N, s M) -> U101#(isNat M, M, N))
(active# s X -> active# X, active# plus(X1, X2) -> plus#(active X1, X2))
(active# s X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(active# s X -> active# X, active# plus(X1, X2) -> active# X2)
(active# s X -> active# X, active# plus(X1, X2) -> active# X1)
(active# s X -> active# X, active# plus(N, 0()) -> U71#(isNat N, N))
(active# s X -> active# X, active# plus(N, 0()) -> isNat# N)
(active# s X -> active# X, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# s X -> active# X, active# plus(N, s M) -> isNat# M)
(active# s X -> active# X, active# U104(tt(), M, N) -> x#(N, M))
(active# s X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# s X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# s X -> active# X, active# U104(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# s X -> active# X, active# isNat s V1 -> isNatKind# V1)
(active# s X -> active# X, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# s X -> active# X, active# isNat x(V1, V2) -> isNatKind# V1)
(active# s X -> active# X, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# s X -> active# X, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# s X -> active# X, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# s X -> active# X, active# U103(tt(), M, N) -> isNatKind# N)
(active# s X -> active# X, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# s X -> active# X, active# U103(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U101(tt(), M, N) -> isNatKind# M)
(active# s X -> active# X, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# s X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# s X -> active# X, active# U101(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# isNatKind s V1 -> U51# isNatKind V1)
(active# s X -> active# X, active# isNatKind s V1 -> isNatKind# V1)
(active# s X -> active# X, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# s X -> active# X, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# s X -> active# X, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# s X -> active# X, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# s X -> active# X, active# U102(tt(), M, N) -> isNat# N)
(active# s X -> active# X, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# s X -> active# X, active# U102(X1, X2, X3) -> active# X1)
(active# s X -> active# X, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(isNat# ok X -> isNat# X, isNat# ok X -> isNat# X)
(U16# ok X -> U16# X, U16# ok X -> U16# X)
(U16# ok X -> U16# X, U16# mark X -> U16# X)
(U23# ok X -> U23# X, U23# ok X -> U23# X)
(U23# ok X -> U23# X, U23# mark X -> U23# X)
(U36# ok X -> U36# X, U36# ok X -> U36# X)
(U36# ok X -> U36# X, U36# mark X -> U36# X)
(U42# ok X -> U42# X, U42# ok X -> U42# X)
(U42# ok X -> U42# X, U42# mark X -> U42# X)
(U51# ok X -> U51# X, U51# ok X -> U51# X)
(U51# ok X -> U51# X, U51# mark X -> U51# X)
(U62# ok X -> U62# X, U62# ok X -> U62# X)
(U62# ok X -> U62# X, U62# mark X -> U62# X)
(s# ok X -> s# X, s# ok X -> s# X)
(s# ok X -> s# X, s# mark X -> s# X)
(U92# ok X -> U92# X, U92# ok X -> U92# X)
(U92# ok X -> U92# X, U92# mark X -> U92# X)
(proper# isNat X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U92 X -> proper# X)
(proper# isNat X -> proper# X, proper# U92 X -> U92# proper X)
(proper# isNat X -> proper# X, proper# s X -> proper# X)
(proper# isNat X -> proper# X, proper# s X -> s# proper X)
(proper# isNat X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U62 X -> proper# X)
(proper# isNat X -> proper# X, proper# U62 X -> U62# proper X)
(proper# isNat X -> proper# X, proper# U51 X -> proper# X)
(proper# isNat X -> proper# X, proper# U51 X -> U51# proper X)
(proper# isNat X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U42 X -> proper# X)
(proper# isNat X -> proper# X, proper# U42 X -> U42# proper X)
(proper# isNat X -> proper# X, proper# U36 X -> proper# X)
(proper# isNat X -> proper# X, proper# U36 X -> U36# proper X)
(proper# isNat X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U23 X -> proper# X)
(proper# isNat X -> proper# X, proper# U23 X -> U23# proper X)
(proper# isNat X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U16 X -> proper# X)
(proper# isNat X -> proper# X, proper# U16 X -> U16# proper X)
(proper# isNat X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# isNat X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# isNat X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# isNat X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# isNat X -> proper# X)
(proper# isNat X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# isNat X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# isNat X -> proper# X, proper# isNatKind X -> proper# X)
(proper# isNat X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# isNat X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# isNat X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# isNat X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# isNat X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U92 X -> proper# X)
(proper# U23 X -> proper# X, proper# U92 X -> U92# proper X)
(proper# U23 X -> proper# X, proper# s X -> proper# X)
(proper# U23 X -> proper# X, proper# s X -> s# proper X)
(proper# U23 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U62 X -> proper# X)
(proper# U23 X -> proper# X, proper# U62 X -> U62# proper X)
(proper# U23 X -> proper# X, proper# U51 X -> proper# X)
(proper# U23 X -> proper# X, proper# U51 X -> U51# proper X)
(proper# U23 X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U42 X -> proper# X)
(proper# U23 X -> proper# X, proper# U42 X -> U42# proper X)
(proper# U23 X -> proper# X, proper# U36 X -> proper# X)
(proper# U23 X -> proper# X, proper# U36 X -> U36# proper X)
(proper# U23 X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U23 X -> proper# X)
(proper# U23 X -> proper# X, proper# U23 X -> U23# proper X)
(proper# U23 X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U16 X -> proper# X)
(proper# U23 X -> proper# X, proper# U16 X -> U16# proper X)
(proper# U23 X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# U23 X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# U23 X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U23 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# isNat X -> proper# X)
(proper# U23 X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# U23 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U23 X -> proper# X, proper# isNatKind X -> proper# X)
(proper# U23 X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# U23 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U23 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U23 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U23 X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U92 X -> proper# X)
(proper# U42 X -> proper# X, proper# U92 X -> U92# proper X)
(proper# U42 X -> proper# X, proper# s X -> proper# X)
(proper# U42 X -> proper# X, proper# s X -> s# proper X)
(proper# U42 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U62 X -> proper# X)
(proper# U42 X -> proper# X, proper# U62 X -> U62# proper X)
(proper# U42 X -> proper# X, proper# U51 X -> proper# X)
(proper# U42 X -> proper# X, proper# U51 X -> U51# proper X)
(proper# U42 X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U42 X -> proper# X)
(proper# U42 X -> proper# X, proper# U42 X -> U42# proper X)
(proper# U42 X -> proper# X, proper# U36 X -> proper# X)
(proper# U42 X -> proper# X, proper# U36 X -> U36# proper X)
(proper# U42 X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U23 X -> proper# X)
(proper# U42 X -> proper# X, proper# U23 X -> U23# proper X)
(proper# U42 X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U16 X -> proper# X)
(proper# U42 X -> proper# X, proper# U16 X -> U16# proper X)
(proper# U42 X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# U42 X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# U42 X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U42 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# isNat X -> proper# X)
(proper# U42 X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# U42 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U42 X -> proper# X, proper# isNatKind X -> proper# X)
(proper# U42 X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# U42 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U42 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U42 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U42 X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U92 X -> proper# X)
(proper# U62 X -> proper# X, proper# U92 X -> U92# proper X)
(proper# U62 X -> proper# X, proper# s X -> proper# X)
(proper# U62 X -> proper# X, proper# s X -> s# proper X)
(proper# U62 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U62 X -> proper# X)
(proper# U62 X -> proper# X, proper# U62 X -> U62# proper X)
(proper# U62 X -> proper# X, proper# U51 X -> proper# X)
(proper# U62 X -> proper# X, proper# U51 X -> U51# proper X)
(proper# U62 X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U42 X -> proper# X)
(proper# U62 X -> proper# X, proper# U42 X -> U42# proper X)
(proper# U62 X -> proper# X, proper# U36 X -> proper# X)
(proper# U62 X -> proper# X, proper# U36 X -> U36# proper X)
(proper# U62 X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U23 X -> proper# X)
(proper# U62 X -> proper# X, proper# U23 X -> U23# proper X)
(proper# U62 X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U16 X -> proper# X)
(proper# U62 X -> proper# X, proper# U16 X -> U16# proper X)
(proper# U62 X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# U62 X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# U62 X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U62 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# isNat X -> proper# X)
(proper# U62 X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# U62 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U62 X -> proper# X, proper# isNatKind X -> proper# X)
(proper# U62 X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# U62 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U62 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U62 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U62 X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U92 X -> proper# X)
(proper# U92 X -> proper# X, proper# U92 X -> U92# proper X)
(proper# U92 X -> proper# X, proper# s X -> proper# X)
(proper# U92 X -> proper# X, proper# s X -> s# proper X)
(proper# U92 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U62 X -> proper# X)
(proper# U92 X -> proper# X, proper# U62 X -> U62# proper X)
(proper# U92 X -> proper# X, proper# U51 X -> proper# X)
(proper# U92 X -> proper# X, proper# U51 X -> U51# proper X)
(proper# U92 X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U42 X -> proper# X)
(proper# U92 X -> proper# X, proper# U42 X -> U42# proper X)
(proper# U92 X -> proper# X, proper# U36 X -> proper# X)
(proper# U92 X -> proper# X, proper# U36 X -> U36# proper X)
(proper# U92 X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U23 X -> proper# X)
(proper# U92 X -> proper# X, proper# U23 X -> U23# proper X)
(proper# U92 X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U16 X -> proper# X)
(proper# U92 X -> proper# X, proper# U16 X -> U16# proper X)
(proper# U92 X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# U92 X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# U92 X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U92 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# isNat X -> proper# X)
(proper# U92 X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# U92 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U92 X -> proper# X, proper# isNatKind X -> proper# X)
(proper# U92 X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# U92 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U92 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U92 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U92 X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(top# ok X -> active# X, active# U91(tt(), N) -> U92# isNatKind N)
(top# ok X -> active# X, active# U91(tt(), N) -> isNatKind# N)
(top# ok X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2))
(top# ok X -> active# X, active# U91(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U92 X -> U92# active X)
(top# ok X -> active# X, active# U92 X -> active# X)
(top# ok X -> active# X, active# s X -> s# active X)
(top# ok X -> active# X, active# s X -> active# X)
(top# ok X -> active# X, active# U84(tt(), M, N) -> s# plus(N, M))
(top# ok X -> active# X, active# U84(tt(), M, N) -> plus#(N, M))
(top# ok X -> active# X, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(top# ok X -> active# X, active# U84(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(top# ok X -> active# X, active# U83(tt(), M, N) -> isNatKind# N)
(top# ok X -> active# X, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(top# ok X -> active# X, active# U83(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(top# ok X -> active# X, active# U81(tt(), M, N) -> isNatKind# M)
(top# ok X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(top# ok X -> active# X, active# U81(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(top# ok X -> active# X, active# U82(tt(), M, N) -> isNat# N)
(top# ok X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(top# ok X -> active# X, active# U82(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U71(tt(), N) -> U72#(isNatKind N, N))
(top# ok X -> active# X, active# U71(tt(), N) -> isNatKind# N)
(top# ok X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2))
(top# ok X -> active# X, active# U71(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2))
(top# ok X -> active# X, active# U72(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U61(tt(), V2) -> U62# isNatKind V2)
(top# ok X -> active# X, active# U61(tt(), V2) -> isNatKind# V2)
(top# ok X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2))
(top# ok X -> active# X, active# U61(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U62 X -> U62# active X)
(top# ok X -> active# X, active# U62 X -> active# X)
(top# ok X -> active# X, active# U51 X -> U51# active X)
(top# ok X -> active# X, active# U51 X -> active# X)
(top# ok X -> active# X, active# U41(tt(), V2) -> U42# isNatKind V2)
(top# ok X -> active# X, active# U41(tt(), V2) -> isNatKind# V2)
(top# ok X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2))
(top# ok X -> active# X, active# U41(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U42 X -> U42# active X)
(top# ok X -> active# X, active# U42 X -> active# X)
(top# ok X -> active# X, active# U36 X -> U36# active X)
(top# ok X -> active# X, active# U36 X -> active# X)
(top# ok X -> active# X, active# U35(tt(), V2) -> U36# isNat V2)
(top# ok X -> active# X, active# U35(tt(), V2) -> isNat# V2)
(top# ok X -> active# X, active# U35(X1, X2) -> U35#(active X1, X2))
(top# ok X -> active# X, active# U35(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(top# ok X -> active# X, active# U34(tt(), V1, V2) -> isNat# V1)
(top# ok X -> active# X, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(top# ok X -> active# X, active# U34(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(top# ok X -> active# X, active# U33(tt(), V1, V2) -> isNatKind# V2)
(top# ok X -> active# X, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(top# ok X -> active# X, active# U33(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(top# ok X -> active# X, active# U31(tt(), V1, V2) -> isNatKind# V1)
(top# ok X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(top# ok X -> active# X, active# U31(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(top# ok X -> active# X, active# U32(tt(), V1, V2) -> isNatKind# V2)
(top# ok X -> active# X, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(top# ok X -> active# X, active# U32(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U23 X -> U23# active X)
(top# ok X -> active# X, active# U23 X -> active# X)
(top# ok X -> active# X, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(top# ok X -> active# X, active# U21(tt(), V1) -> isNatKind# V1)
(top# ok X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2))
(top# ok X -> active# X, active# U21(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U22(tt(), V1) -> U23# isNat V1)
(top# ok X -> active# X, active# U22(tt(), V1) -> isNat# V1)
(top# ok X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2))
(top# ok X -> active# X, active# U22(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U16 X -> U16# active X)
(top# ok X -> active# X, active# U16 X -> active# X)
(top# ok X -> active# X, active# U15(tt(), V2) -> U16# isNat V2)
(top# ok X -> active# X, active# U15(tt(), V2) -> isNat# V2)
(top# ok X -> active# X, active# U15(X1, X2) -> U15#(active X1, X2))
(top# ok X -> active# X, active# U15(X1, X2) -> active# X1)
(top# ok X -> active# X, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(top# ok X -> active# X, active# U14(tt(), V1, V2) -> isNat# V1)
(top# ok X -> active# X, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(top# ok X -> active# X, active# U14(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(top# ok X -> active# X, active# U13(tt(), V1, V2) -> isNatKind# V2)
(top# ok X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(top# ok X -> active# X, active# U13(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(top# ok X -> active# X, active# U11(tt(), V1, V2) -> isNatKind# V1)
(top# ok X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(top# ok X -> active# X, active# U11(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(top# ok X -> active# X, active# U12(tt(), V1, V2) -> isNatKind# V2)
(top# ok X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(top# ok X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(top# ok X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(top# ok X -> active# X, active# x(X1, X2) -> active# X2)
(top# ok X -> active# X, active# x(X1, X2) -> active# X1)
(top# ok X -> active# X, active# x(N, 0()) -> U91#(isNat N, N))
(top# ok X -> active# X, active# x(N, 0()) -> isNat# N)
(top# ok X -> active# X, active# x(N, s M) -> isNat# M)
(top# ok X -> active# X, active# x(N, s M) -> U101#(isNat M, M, N))
(top# ok X -> active# X, active# plus(X1, X2) -> plus#(active X1, X2))
(top# ok X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(top# ok X -> active# X, active# plus(X1, X2) -> active# X2)
(top# ok X -> active# X, active# plus(X1, X2) -> active# X1)
(top# ok X -> active# X, active# plus(N, 0()) -> U71#(isNat N, N))
(top# ok X -> active# X, active# plus(N, 0()) -> isNat# N)
(top# ok X -> active# X, active# plus(N, s M) -> U81#(isNat M, M, N))
(top# ok X -> active# X, active# plus(N, s M) -> isNat# M)
(top# ok X -> active# X, active# U104(tt(), M, N) -> x#(N, M))
(top# ok X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(top# ok X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(top# ok X -> active# X, active# U104(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# isNat s V1 -> U21#(isNatKind V1, V1))
(top# ok X -> active# X, active# isNat s V1 -> isNatKind# V1)
(top# ok X -> active# X, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(top# ok X -> active# X, active# isNat x(V1, V2) -> isNatKind# V1)
(top# ok X -> active# X, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(top# ok X -> active# X, active# isNat plus(V1, V2) -> isNatKind# V1)
(top# ok X -> active# X, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(top# ok X -> active# X, active# U103(tt(), M, N) -> isNatKind# N)
(top# ok X -> active# X, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(top# ok X -> active# X, active# U103(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U101(tt(), M, N) -> isNatKind# M)
(top# ok X -> active# X, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(top# ok X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(top# ok X -> active# X, active# U101(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# isNatKind s V1 -> U51# isNatKind V1)
(top# ok X -> active# X, active# isNatKind s V1 -> isNatKind# V1)
(top# ok X -> active# X, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(top# ok X -> active# X, active# isNatKind x(V1, V2) -> isNatKind# V1)
(top# ok X -> active# X, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(top# ok X -> active# X, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(top# ok X -> active# X, active# U102(tt(), M, N) -> isNat# N)
(top# ok X -> active# X, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(top# ok X -> active# X, active# U102(X1, X2, X3) -> active# X1)
(top# ok X -> active# X, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# x(X1, X2) -> x#(active X1, X2), x#(ok X1, ok X2) -> x#(X1, X2))
(active# x(X1, X2) -> x#(active X1, X2), x#(mark X1, X2) -> x#(X1, X2))
(active# x(X1, X2) -> x#(active X1, X2), x#(X1, mark X2) -> x#(X1, X2))
(active# U22(X1, X2) -> U22#(active X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2))
(active# U22(X1, X2) -> U22#(active X1, X2), U22#(mark X1, X2) -> U22#(X1, X2))
(active# U35(X1, X2) -> U35#(active X1, X2), U35#(ok X1, ok X2) -> U35#(X1, X2))
(active# U35(X1, X2) -> U35#(active X1, X2), U35#(mark X1, X2) -> U35#(X1, X2))
(active# U61(X1, X2) -> U61#(active X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2))
(active# U61(X1, X2) -> U61#(active X1, X2), U61#(mark X1, X2) -> U61#(X1, X2))
(active# U71(X1, X2) -> U71#(active X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2))
(active# U71(X1, X2) -> U71#(active X1, X2), U71#(mark X1, X2) -> U71#(X1, X2))
(plus#(X1, mark X2) -> plus#(X1, X2), plus#(ok X1, ok X2) -> plus#(X1, X2))
(plus#(X1, mark X2) -> plus#(X1, X2), plus#(mark X1, X2) -> plus#(X1, X2))
(plus#(X1, mark X2) -> plus#(X1, X2), plus#(X1, mark X2) -> plus#(X1, X2))
(plus#(ok X1, ok X2) -> plus#(X1, X2), plus#(ok X1, ok X2) -> plus#(X1, X2))
(plus#(ok X1, ok X2) -> plus#(X1, X2), plus#(mark X1, X2) -> plus#(X1, X2))
(plus#(ok X1, ok X2) -> plus#(X1, X2), plus#(X1, mark X2) -> plus#(X1, X2))
(x#(mark X1, X2) -> x#(X1, X2), x#(ok X1, ok X2) -> x#(X1, X2))
(x#(mark X1, X2) -> x#(X1, X2), x#(mark X1, X2) -> x#(X1, X2))
(x#(mark X1, X2) -> x#(X1, X2), x#(X1, mark X2) -> x#(X1, X2))
(U15#(mark X1, X2) -> U15#(X1, X2), U15#(ok X1, ok X2) -> U15#(X1, X2))
(U15#(mark X1, X2) -> U15#(X1, X2), U15#(mark X1, X2) -> U15#(X1, X2))
(U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2))
(U22#(mark X1, X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2))
(U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2))
(U21#(mark X1, X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2))
(U35#(mark X1, X2) -> U35#(X1, X2), U35#(ok X1, ok X2) -> U35#(X1, X2))
(U35#(mark X1, X2) -> U35#(X1, X2), U35#(mark X1, X2) -> U35#(X1, X2))
(U41#(mark X1, X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2))
(U41#(mark X1, X2) -> U41#(X1, X2), U41#(mark X1, X2) -> U41#(X1, X2))
(U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2))
(U61#(mark X1, X2) -> U61#(X1, X2), U61#(mark X1, X2) -> U61#(X1, X2))
(U72#(mark X1, X2) -> U72#(X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2))
(U72#(mark X1, X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2))
(U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2))
(U71#(mark X1, X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2))
(U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2))
(U91#(mark X1, X2) -> U91#(X1, X2), U91#(mark X1, X2) -> U91#(X1, X2))
(U102#(mark X1, X2, X3) -> U102#(X1, X2, X3), U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3))
(U102#(mark X1, X2, X3) -> U102#(X1, X2, X3), U102#(mark X1, X2, X3) -> U102#(X1, X2, X3))
(active# U102(X1, X2, X3) -> U102#(active X1, X2, X3), U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3))
(active# U102(X1, X2, X3) -> U102#(active X1, X2, X3), U102#(mark X1, X2, X3) -> U102#(X1, X2, X3))
(active# U103(X1, X2, X3) -> U103#(active X1, X2, X3), U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3))
(active# U103(X1, X2, X3) -> U103#(active X1, X2, X3), U103#(mark X1, X2, X3) -> U103#(X1, X2, X3))
(active# U12(X1, X2, X3) -> U12#(active X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3))
(active# U12(X1, X2, X3) -> U12#(active X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3))
(active# U13(X1, X2, X3) -> U13#(active X1, X2, X3), U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3))
(active# U13(X1, X2, X3) -> U13#(active X1, X2, X3), U13#(mark X1, X2, X3) -> U13#(X1, X2, X3))
(active# U32(X1, X2, X3) -> U32#(active X1, X2, X3), U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3))
(active# U32(X1, X2, X3) -> U32#(active X1, X2, X3), U32#(mark X1, X2, X3) -> U32#(X1, X2, X3))
(active# U33(X1, X2, X3) -> U33#(active X1, X2, X3), U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3))
(active# U33(X1, X2, X3) -> U33#(active X1, X2, X3), U33#(mark X1, X2, X3) -> U33#(X1, X2, X3))
(active# U82(X1, X2, X3) -> U82#(active X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3))
(active# U82(X1, X2, X3) -> U82#(active X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3))
(active# U83(X1, X2, X3) -> U83#(active X1, X2, X3), U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3))
(active# U83(X1, X2, X3) -> U83#(active X1, X2, X3), U83#(mark X1, X2, X3) -> U83#(X1, X2, X3))
(U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3))
(U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3))
(U103#(mark X1, X2, X3) -> U103#(X1, X2, X3), U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3))
(U103#(mark X1, X2, X3) -> U103#(X1, X2, X3), U103#(mark X1, X2, X3) -> U103#(X1, X2, X3))
(U104#(mark X1, X2, X3) -> U104#(X1, X2, X3), U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3))
(U104#(mark X1, X2, X3) -> U104#(X1, X2, X3), U104#(mark X1, X2, X3) -> U104#(X1, X2, X3))
(U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3))
(U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3))
(U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3))
(U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3))
(U13#(mark X1, X2, X3) -> U13#(X1, X2, X3), U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3))
(U13#(mark X1, X2, X3) -> U13#(X1, X2, X3), U13#(mark X1, X2, X3) -> U13#(X1, X2, X3))
(U14#(mark X1, X2, X3) -> U14#(X1, X2, X3), U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3))
(U14#(mark X1, X2, X3) -> U14#(X1, X2, X3), U14#(mark X1, X2, X3) -> U14#(X1, X2, X3))
(U32#(mark X1, X2, X3) -> U32#(X1, X2, X3), U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3))
(U32#(mark X1, X2, X3) -> U32#(X1, X2, X3), U32#(mark X1, X2, X3) -> U32#(X1, X2, X3))
(U31#(mark X1, X2, X3) -> U31#(X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3))
(U31#(mark X1, X2, X3) -> U31#(X1, X2, X3), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3))
(U33#(mark X1, X2, X3) -> U33#(X1, X2, X3), U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3))
(U33#(mark X1, X2, X3) -> U33#(X1, X2, X3), U33#(mark X1, X2, X3) -> U33#(X1, X2, X3))
(U34#(mark X1, X2, X3) -> U34#(X1, X2, X3), U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3))
(U34#(mark X1, X2, X3) -> U34#(X1, X2, X3), U34#(mark X1, X2, X3) -> U34#(X1, X2, X3))
(U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3))
(U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3))
(U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3))
(U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3))
(U83#(mark X1, X2, X3) -> U83#(X1, X2, X3), U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3))
(U83#(mark X1, X2, X3) -> U83#(X1, X2, X3), U83#(mark X1, X2, X3) -> U83#(X1, X2, X3))
(U84#(mark X1, X2, X3) -> U84#(X1, X2, X3), U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3))
(U84#(mark X1, X2, X3) -> U84#(X1, X2, X3), U84#(mark X1, X2, X3) -> U84#(X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U102(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U102(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U102(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U102(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U102(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U102(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U102(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U102(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U102(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U102(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U102(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U102(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U102(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U102(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U102(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U102(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U102(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U102(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U102(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U102(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U102(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U102(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U102(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U102(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U102(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U102(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U102(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U102(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U102(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U102(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U102(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U102(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U102(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U102(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U102(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U102(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U102(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U102(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U102(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U102(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U102(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U102(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U102(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U102(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U102(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U102(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U102(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U102(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U102(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U102(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U102(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U102(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U102(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U102(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U102(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U102(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U102(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U102(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U102(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U102(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U102(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U102(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U102(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U102(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U102(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U102(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U102(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U102(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U102(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U102(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U102(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U102(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U103(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U103(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U103(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U103(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U103(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U103(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U103(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U103(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U103(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U103(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U103(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U103(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U103(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U103(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U103(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U103(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U103(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U103(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U103(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U103(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U103(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U103(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U103(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U103(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U103(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U103(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U103(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U103(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U103(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U103(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U103(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U103(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U103(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U103(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U103(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U103(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U103(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U103(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U103(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U103(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U103(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U103(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U103(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U103(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U103(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U103(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U103(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U103(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U103(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U103(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U103(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U103(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U103(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U103(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U103(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U103(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U103(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U103(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U103(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U103(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U103(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U103(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U103(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U103(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U103(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U103(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U103(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U103(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U103(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U103(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U103(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U103(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# plus(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# plus(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# plus(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# plus(X1, X2) -> active# X1, active# s X -> s# active X)
(active# plus(X1, X2) -> active# X1, active# s X -> active# X)
(active# plus(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# plus(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# plus(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# plus(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# plus(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# plus(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# plus(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# plus(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# plus(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# plus(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# plus(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# plus(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# plus(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# plus(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# plus(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# plus(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# plus(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# plus(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# plus(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# plus(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# plus(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# plus(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# plus(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# plus(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# plus(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# plus(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# plus(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# plus(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# plus(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# plus(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# plus(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# plus(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# plus(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# plus(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# plus(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# plus(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# plus(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# plus(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# plus(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# plus(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# plus(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# plus(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# plus(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# plus(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# plus(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# plus(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# plus(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# plus(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# plus(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# plus(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# plus(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# plus(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# plus(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# plus(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# plus(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# plus(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# plus(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# plus(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# plus(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# plus(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# plus(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# plus(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# plus(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# plus(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# plus(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# plus(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# plus(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# plus(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# plus(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U12(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U12(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U12(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U12(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U12(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U12(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U12(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U12(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U12(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U12(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U12(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U12(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U12(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U12(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U12(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U12(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U12(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U12(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U12(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U12(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U12(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U12(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U12(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U12(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U12(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U12(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U12(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U12(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U12(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U12(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U12(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U12(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U12(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U12(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U12(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U12(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U12(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U12(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U12(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U12(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U12(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U12(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U12(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U12(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U12(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U12(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U12(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U12(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U12(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U12(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U12(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U12(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U12(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U12(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U12(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U12(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U12(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U12(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U12(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U12(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U12(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U12(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U12(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U12(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U12(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U12(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U12(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U12(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U12(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U12(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U12(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U12(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U13(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U13(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U13(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U13(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U13(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U13(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U13(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U13(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U13(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U13(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U13(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U13(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U13(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U13(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U13(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U13(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U13(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U13(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U13(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U13(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U13(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U13(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U13(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U13(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U13(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U13(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U13(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U13(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U13(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U13(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U13(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U13(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U13(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U13(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U13(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U13(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U13(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U13(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U13(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U13(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U13(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U13(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U13(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U13(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U13(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U13(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U13(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U13(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U13(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U13(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U13(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U13(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U13(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U13(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U13(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U13(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U13(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U13(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U13(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U13(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U13(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U13(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U13(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U13(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U13(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U13(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U13(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U13(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U13(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U13(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U13(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U13(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U15(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U15(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U15(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U15(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U15(X1, X2) -> active# X1, active# s X -> active# X)
(active# U15(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U15(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U15(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U15(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U15(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U15(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U15(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U15(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U15(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U15(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U15(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U15(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U15(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U15(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U15(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U15(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U15(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U15(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U15(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U15(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U15(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U15(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U15(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U15(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U15(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U15(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U15(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U15(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U15(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U15(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U15(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U15(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U15(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U15(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U15(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U15(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U15(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U15(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U15(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U15(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U15(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U15(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U15(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U15(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U15(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U15(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U15(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U15(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U15(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U15(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U15(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U15(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U15(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U15(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U15(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U15(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U15(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U15(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U15(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U15(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U15(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U15(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U15(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U15(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U15(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U15(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U15(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U15(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U15(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U15(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U15(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U15(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U15(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U15(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U15(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U15(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U15(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U15(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U21(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U21(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U21(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U21(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U21(X1, X2) -> active# X1, active# s X -> active# X)
(active# U21(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U21(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U21(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U21(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U21(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U21(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U21(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U21(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U21(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U21(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U21(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U21(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U21(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U21(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U21(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U21(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U21(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U21(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U21(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U21(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U21(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U21(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U21(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U21(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U21(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U21(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U21(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U21(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U21(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U21(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U21(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U21(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U21(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U21(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U21(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U21(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U21(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U21(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U21(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U21(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U21(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U21(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U21(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U21(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U21(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U21(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U21(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U21(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U21(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U21(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U21(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U21(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U21(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U21(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U21(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U21(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U21(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U21(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U21(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U21(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U21(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U21(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U21(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U21(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U21(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U21(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U21(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U21(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U21(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U21(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U21(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U21(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U21(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U21(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U21(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U21(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U21(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U21(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U31(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U31(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U31(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U31(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U31(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U31(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U31(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U31(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U31(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U31(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U31(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U31(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U31(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U31(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U31(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U31(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U31(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U31(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U31(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U31(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U31(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U31(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U31(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U31(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U31(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U31(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U31(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U31(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U31(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U31(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U31(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U31(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U31(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U31(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U31(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U31(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U31(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U31(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U31(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U31(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U31(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U31(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U31(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U31(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U31(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U31(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U31(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U31(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U31(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U31(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U31(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U31(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U31(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U31(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U31(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U31(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U31(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U31(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U31(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U31(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U31(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U31(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U31(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U31(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U31(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U31(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U31(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U31(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U31(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U31(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U31(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U31(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U34(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U34(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U34(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U34(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U34(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U34(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U34(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U34(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U34(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U34(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U34(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U34(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U34(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U34(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U34(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U34(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U34(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U34(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U34(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U34(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U34(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U34(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U34(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U34(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U34(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U34(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U34(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U34(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U34(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U34(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U34(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U34(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U34(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U34(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U34(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U34(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U34(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U34(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U34(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U34(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U34(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U34(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U34(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U34(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U34(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U34(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U34(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U34(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U34(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U34(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U34(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U34(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U34(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U34(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U34(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U34(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U34(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U34(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U34(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U34(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U34(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U34(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U34(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U34(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U34(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U34(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U34(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U34(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U34(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U34(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U34(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U34(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U41(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U41(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U41(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U41(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U41(X1, X2) -> active# X1, active# s X -> active# X)
(active# U41(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U41(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U41(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U41(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U41(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U41(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U41(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U41(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U41(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U41(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U41(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U41(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U41(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U41(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U41(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U41(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U41(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U41(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U41(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U41(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U41(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U41(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U41(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U41(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U41(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U41(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U41(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U41(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U41(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U41(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U41(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U41(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U41(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U41(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U41(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U41(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U41(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U41(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U41(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U41(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U41(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U41(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U41(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U41(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U41(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U41(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U41(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U41(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U41(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U41(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U41(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U41(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U41(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U41(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U41(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U41(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U41(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U41(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U41(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U41(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U41(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U41(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U41(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U41(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U41(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U41(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U41(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U41(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U41(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U41(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U41(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U41(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U41(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U41(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U41(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U41(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U41(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U41(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U72(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U72(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U72(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U72(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U72(X1, X2) -> active# X1, active# s X -> active# X)
(active# U72(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U72(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U72(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U72(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U72(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U72(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U72(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U72(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U72(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U72(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U72(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U72(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U72(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U72(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U72(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U72(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U72(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U72(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U72(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U72(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U72(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U72(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U72(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U72(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U72(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U72(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U72(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U72(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U72(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U72(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U72(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U72(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U72(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U72(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U72(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U72(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U72(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U72(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U72(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U72(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U72(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U72(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U72(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U72(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U72(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U72(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U72(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U72(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U72(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U72(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U72(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U72(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U72(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U72(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U72(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U72(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U72(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U72(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U72(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U72(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U72(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U72(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U72(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U72(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U72(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U72(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U72(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U72(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U72(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U72(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U72(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U72(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U72(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U72(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U72(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U72(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U72(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U82(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U82(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U82(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U82(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U82(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U82(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U82(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U82(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U82(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U82(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U82(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U82(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U82(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U82(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U82(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U82(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U82(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U82(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U82(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U82(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U82(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U82(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U82(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U82(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U82(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U82(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U82(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U82(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U82(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U82(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U82(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U82(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U82(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U82(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U82(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U82(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U82(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U82(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U82(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U82(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U82(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U82(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U82(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U82(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U82(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U82(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U82(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U82(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U82(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U82(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U82(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U82(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U82(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U82(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U82(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U82(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U82(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U82(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U82(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U82(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U82(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U82(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U82(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U82(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U82(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U82(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U82(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U82(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U82(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U82(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U82(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U83(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U83(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U83(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U83(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U83(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U83(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U83(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U83(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U83(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U83(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U83(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U83(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U83(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U83(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U83(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U83(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U83(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U83(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U83(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U83(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U83(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U83(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U83(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U83(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U83(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U83(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U83(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U83(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U83(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U83(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U83(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U83(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U83(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U83(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U83(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U83(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U83(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U83(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U83(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U83(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U83(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U83(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U83(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U83(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U83(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U83(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U83(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U83(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U83(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U83(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U83(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U83(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U83(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U83(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U83(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U83(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U83(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U83(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U83(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U83(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U83(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U83(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U83(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U83(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U83(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U83(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U83(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U83(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U83(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U83(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U83(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U83(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U91(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U91(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U91(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U91(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U91(X1, X2) -> active# X1, active# s X -> active# X)
(active# U91(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U91(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U91(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U91(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U91(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U91(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U91(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U91(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U91(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U91(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U91(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U91(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U91(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U91(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U91(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U91(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U91(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U91(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U91(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U91(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U91(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U91(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U91(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U91(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U91(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U91(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U91(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U91(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U91(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U91(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U91(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U91(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U91(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U91(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U91(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U91(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U91(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U91(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U91(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U91(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U91(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U91(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U91(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U91(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U91(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U91(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U91(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U91(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U91(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U91(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U91(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U91(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U91(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U91(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U91(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U91(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U91(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U91(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U91(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U91(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U91(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U91(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U91(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U91(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U91(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U91(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U91(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U91(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U91(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U91(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U91(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U91(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U91(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U91(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U91(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U91(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U91(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U91(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# x(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# x(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# x(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U22(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U22(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U35(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U35(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U61(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U61(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U71(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U71(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2), U41#(ok X1, ok X2) -> U41#(X1, X2))
(active# plus(X1, X2) -> plus#(X1, active X2), plus#(ok X1, ok X2) -> plus#(X1, X2))
(active# plus(X1, X2) -> plus#(X1, active X2), plus#(mark X1, X2) -> plus#(X1, X2))
(active# plus(X1, X2) -> plus#(X1, active X2), plus#(X1, mark X2) -> plus#(X1, X2))
(active# U14(tt(), V1, V2) -> U15#(isNat V1, V2), U15#(ok X1, ok X2) -> U15#(X1, X2))
(proper# plus(X1, X2) -> plus#(proper X1, proper X2), plus#(ok X1, ok X2) -> plus#(X1, X2))
(proper# plus(X1, X2) -> plus#(proper X1, proper X2), plus#(mark X1, X2) -> plus#(X1, X2))
(proper# plus(X1, X2) -> plus#(proper X1, proper X2), plus#(X1, mark X2) -> plus#(X1, X2))
(proper# U15(X1, X2) -> U15#(proper X1, proper X2), U15#(ok X1, ok X2) -> U15#(X1, X2))
(proper# U15(X1, X2) -> U15#(proper X1, proper X2), U15#(mark X1, X2) -> U15#(X1, X2))
(proper# U21(X1, X2) -> U21#(proper X1, proper X2), U21#(ok X1, ok X2) -> U21#(X1, X2))
(proper# U21(X1, X2) -> U21#(proper X1, proper X2), U21#(mark X1, X2) -> U21#(X1, X2))
(proper# U41(X1, X2) -> U41#(proper X1, proper X2), U41#(ok X1, ok X2) -> U41#(X1, X2))
(proper# U41(X1, X2) -> U41#(proper X1, proper X2), U41#(mark X1, X2) -> U41#(X1, X2))
(proper# U72(X1, X2) -> U72#(proper X1, proper X2), U72#(ok X1, ok X2) -> U72#(X1, X2))
(proper# U72(X1, X2) -> U72#(proper X1, proper X2), U72#(mark X1, X2) -> U72#(X1, X2))
(proper# U91(X1, X2) -> U91#(proper X1, proper X2), U91#(ok X1, ok X2) -> U91#(X1, X2))
(proper# U91(X1, X2) -> U91#(proper X1, proper X2), U91#(mark X1, X2) -> U91#(X1, X2))
(active# U23 X -> U23# active X, U23# ok X -> U23# X)
(active# U23 X -> U23# active X, U23# mark X -> U23# X)
(active# U42 X -> U42# active X, U42# ok X -> U42# X)
(active# U42 X -> U42# active X, U42# mark X -> U42# X)
(active# U62 X -> U62# active X, U62# ok X -> U62# X)
(active# U62 X -> U62# active X, U62# mark X -> U62# X)
(active# U92 X -> U92# active X, U92# ok X -> U92# X)
(active# U92 X -> U92# active X, U92# mark X -> U92# X)
(proper# isNat X -> isNat# proper X, isNat# ok X -> isNat# X)
(proper# U23 X -> U23# proper X, U23# ok X -> U23# X)
(proper# U23 X -> U23# proper X, U23# mark X -> U23# X)
(proper# U42 X -> U42# proper X, U42# ok X -> U42# X)
(proper# U42 X -> U42# proper X, U42# mark X -> U42# X)
(proper# U62 X -> U62# proper X, U62# ok X -> U62# X)
(proper# U62 X -> U62# proper X, U62# mark X -> U62# X)
(proper# U92 X -> U92# proper X, U92# ok X -> U92# X)
(proper# U92 X -> U92# proper X, U92# mark X -> U92# X)
(top# ok X -> top# active X, top# ok X -> top# active X)
(top# ok X -> top# active X, top# ok X -> active# X)
(top# ok X -> top# active X, top# mark X -> top# proper X)
(top# ok X -> top# active X, top# mark X -> proper# X)
(active# U35(tt(), V2) -> U36# isNat V2, U36# ok X -> U36# X)
(active# U61(tt(), V2) -> U62# isNatKind V2, U62# ok X -> U62# X)
(active# U22(tt(), V1) -> U23# isNat V1, U23# ok X -> U23# X)
(active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3))
(active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2), U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3))
(active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2), U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3))
(active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2), U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3))
(active# U104(tt(), M, N) -> plus#(x(N, M), N), plus#(ok X1, ok X2) -> plus#(X1, X2))
(active# U104(tt(), M, N) -> plus#(x(N, M), N), plus#(mark X1, X2) -> plus#(X1, X2))
(active# U104(tt(), M, N) -> plus#(x(N, M), N), plus#(X1, mark X2) -> plus#(X1, X2))
(active# x(N, 0()) -> U91#(isNat N, N), U91#(ok X1, ok X2) -> U91#(X1, X2))
(active# U102(tt(), M, N) -> isNat# N, isNat# ok X -> isNat# X)
(active# plus(N, 0()) -> isNat# N, isNat# ok X -> isNat# X)
(active# U71(tt(), N) -> isNatKind# N, isNatKind# ok X -> isNatKind# X)
(active# U83(tt(), M, N) -> isNatKind# N, isNatKind# ok X -> isNatKind# X)
(active# U102(tt(), M, N) -> U103#(isNat N, M, N), U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3))
(active# U103(tt(), M, N) -> U104#(isNatKind N, M, N), U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3))
(active# x(N, s M) -> U101#(isNat M, M, N), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3))
(active# U81(tt(), M, N) -> U82#(isNatKind M, M, N), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3))
(proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3), U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3))
(proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3), U102#(mark X1, X2, X3) -> U102#(X1, X2, X3))
(proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3), U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3))
(proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3), U103#(mark X1, X2, X3) -> U103#(X1, X2, X3))
(proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3))
(proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3))
(proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3), U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3))
(proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3), U13#(mark X1, X2, X3) -> U13#(X1, X2, X3))
(proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3), U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3))
(proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3), U32#(mark X1, X2, X3) -> U32#(X1, X2, X3))
(proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3), U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3))
(proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3), U33#(mark X1, X2, X3) -> U33#(X1, X2, X3))
(proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3))
(proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3))
(proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3), U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3))
(proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3), U83#(mark X1, X2, X3) -> U83#(X1, X2, X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(active# U12(tt(), V1, V2) -> isNatKind# V2, isNatKind# ok X -> isNatKind# X)
(active# U15(tt(), V2) -> isNat# V2, isNat# ok X -> isNat# X)
(active# U33(tt(), V1, V2) -> isNatKind# V2, isNatKind# ok X -> isNatKind# X)
(active# U41(tt(), V2) -> isNatKind# V2, isNatKind# ok X -> isNatKind# X)
(active# U101(tt(), M, N) -> isNatKind# M, isNatKind# ok X -> isNatKind# X)
(active# x(N, s M) -> isNat# M, isNat# ok X -> isNat# X)
(active# isNat s V1 -> U21#(isNatKind V1, V1), U21#(ok X1, ok X2) -> U21#(X1, X2))
(active# U84(tt(), M, N) -> s# plus(N, M), s# ok X -> s# X)
(active# U84(tt(), M, N) -> s# plus(N, M), s# mark X -> s# X)
(active# x(X1, X2) -> active# X2, active# U91(tt(), N) -> U92# isNatKind N)
(active# x(X1, X2) -> active# X2, active# U91(tt(), N) -> isNatKind# N)
(active# x(X1, X2) -> active# X2, active# U91(X1, X2) -> U91#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U91(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U92 X -> U92# active X)
(active# x(X1, X2) -> active# X2, active# U92 X -> active# X)
(active# x(X1, X2) -> active# X2, active# s X -> s# active X)
(active# x(X1, X2) -> active# X2, active# s X -> active# X)
(active# x(X1, X2) -> active# X2, active# U84(tt(), M, N) -> s# plus(N, M))
(active# x(X1, X2) -> active# X2, active# U84(tt(), M, N) -> plus#(N, M))
(active# x(X1, X2) -> active# X2, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U84(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# x(X1, X2) -> active# X2, active# U83(tt(), M, N) -> isNatKind# N)
(active# x(X1, X2) -> active# X2, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U83(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# x(X1, X2) -> active# X2, active# U81(tt(), M, N) -> isNatKind# M)
(active# x(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# x(X1, X2) -> active# X2, active# U82(tt(), M, N) -> isNat# N)
(active# x(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# x(X1, X2) -> active# X2, active# U71(tt(), N) -> isNatKind# N)
(active# x(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U72(X1, X2) -> U72#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U72(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# x(X1, X2) -> active# X2, active# U61(tt(), V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X2, active# U61(X1, X2) -> U61#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U61(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U62 X -> U62# active X)
(active# x(X1, X2) -> active# X2, active# U62 X -> active# X)
(active# x(X1, X2) -> active# X2, active# U51 X -> U51# active X)
(active# x(X1, X2) -> active# X2, active# U51 X -> active# X)
(active# x(X1, X2) -> active# X2, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# x(X1, X2) -> active# X2, active# U41(tt(), V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X2, active# U41(X1, X2) -> U41#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U41(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U42 X -> U42# active X)
(active# x(X1, X2) -> active# X2, active# U42 X -> active# X)
(active# x(X1, X2) -> active# X2, active# U36 X -> U36# active X)
(active# x(X1, X2) -> active# X2, active# U36 X -> active# X)
(active# x(X1, X2) -> active# X2, active# U35(tt(), V2) -> U36# isNat V2)
(active# x(X1, X2) -> active# X2, active# U35(tt(), V2) -> isNat# V2)
(active# x(X1, X2) -> active# X2, active# U35(X1, X2) -> U35#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U35(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# x(X1, X2) -> active# X2, active# U34(tt(), V1, V2) -> isNat# V1)
(active# x(X1, X2) -> active# X2, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U34(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# x(X1, X2) -> active# X2, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X2, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U33(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# x(X1, X2) -> active# X2, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# x(X1, X2) -> active# X2, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X2, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U32(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U23 X -> U23# active X)
(active# x(X1, X2) -> active# X2, active# U23 X -> active# X)
(active# x(X1, X2) -> active# X2, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# x(X1, X2) -> active# X2, active# U21(tt(), V1) -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# U21(X1, X2) -> U21#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U22(tt(), V1) -> U23# isNat V1)
(active# x(X1, X2) -> active# X2, active# U22(tt(), V1) -> isNat# V1)
(active# x(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U16 X -> U16# active X)
(active# x(X1, X2) -> active# X2, active# U16 X -> active# X)
(active# x(X1, X2) -> active# X2, active# U15(tt(), V2) -> U16# isNat V2)
(active# x(X1, X2) -> active# X2, active# U15(tt(), V2) -> isNat# V2)
(active# x(X1, X2) -> active# X2, active# U15(X1, X2) -> U15#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# U15(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# x(X1, X2) -> active# X2, active# U14(tt(), V1, V2) -> isNat# V1)
(active# x(X1, X2) -> active# X2, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U14(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# x(X1, X2) -> active# X2, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X2, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U13(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# x(X1, X2) -> active# X2, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# x(X1, X2) -> active# X2, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# x(X1, X2) -> x#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# x(X1, X2) -> x#(X1, active X2))
(active# x(X1, X2) -> active# X2, active# x(X1, X2) -> active# X2)
(active# x(X1, X2) -> active# X2, active# x(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# x(N, 0()) -> U91#(isNat N, N))
(active# x(X1, X2) -> active# X2, active# x(N, 0()) -> isNat# N)
(active# x(X1, X2) -> active# X2, active# x(N, s M) -> isNat# M)
(active# x(X1, X2) -> active# X2, active# x(N, s M) -> U101#(isNat M, M, N))
(active# x(X1, X2) -> active# X2, active# plus(X1, X2) -> plus#(active X1, X2))
(active# x(X1, X2) -> active# X2, active# plus(X1, X2) -> plus#(X1, active X2))
(active# x(X1, X2) -> active# X2, active# plus(X1, X2) -> active# X2)
(active# x(X1, X2) -> active# X2, active# plus(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X2, active# plus(N, 0()) -> U71#(isNat N, N))
(active# x(X1, X2) -> active# X2, active# plus(N, 0()) -> isNat# N)
(active# x(X1, X2) -> active# X2, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# x(X1, X2) -> active# X2, active# plus(N, s M) -> isNat# M)
(active# x(X1, X2) -> active# X2, active# U104(tt(), M, N) -> x#(N, M))
(active# x(X1, X2) -> active# X2, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# x(X1, X2) -> active# X2, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U104(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# x(X1, X2) -> active# X2, active# isNat s V1 -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# x(X1, X2) -> active# X2, active# isNat x(V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# x(X1, X2) -> active# X2, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# x(X1, X2) -> active# X2, active# U103(tt(), M, N) -> isNatKind# N)
(active# x(X1, X2) -> active# X2, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U103(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U101(tt(), M, N) -> isNatKind# M)
(active# x(X1, X2) -> active# X2, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# x(X1, X2) -> active# X2, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# x(X1, X2) -> active# X2, active# U101(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# isNatKind s V1 -> U51# isNatKind V1)
(active# x(X1, X2) -> active# X2, active# isNatKind s V1 -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# x(X1, X2) -> active# X2, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# x(X1, X2) -> active# X2, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X2, active# U102(tt(), M, N) -> isNat# N)
(active# x(X1, X2) -> active# X2, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# x(X1, X2) -> active# X2, active# U102(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X2, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# x(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# x(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# x(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# x(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# x(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# x(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# x(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# x(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U22(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U22(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U22(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U22(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U22(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U22(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U22(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U32(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U32(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U33(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U33(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U35(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U35(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U35(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U35(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U35(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U35(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U35(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U61(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U61(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U61(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U61(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U61(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U61(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U61(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U71(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U71(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U71(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U71(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U71(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U71(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U71(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(active# U104(tt(), M, N) -> x#(N, M), x#(ok X1, ok X2) -> x#(X1, X2))
(active# U104(tt(), M, N) -> x#(N, M), x#(mark X1, X2) -> x#(X1, X2))
(active# U104(tt(), M, N) -> x#(N, M), x#(X1, mark X2) -> x#(X1, X2))
(active# isNatKind plus(V1, V2) -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# isNatKind s V1 -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# isNat x(V1, V2) -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# U11(tt(), V1, V2) -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# U22(tt(), V1) -> isNat# V1, isNat# ok X -> isNat# X)
(active# U31(tt(), V1, V2) -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# U34(tt(), V1, V2) -> isNat# V1, isNat# ok X -> isNat# X)
(active# U21(tt(), V1) -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# U14(tt(), V1, V2) -> isNat# V1, isNat# ok X -> isNat# X)
(active# isNat s V1 -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# isNat plus(V1, V2) -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# isNatKind x(V1, V2) -> isNatKind# V1, isNatKind# ok X -> isNatKind# X)
(active# U84(tt(), M, N) -> plus#(N, M), plus#(X1, mark X2) -> plus#(X1, X2))
(active# U84(tt(), M, N) -> plus#(N, M), plus#(mark X1, X2) -> plus#(X1, X2))
(active# U84(tt(), M, N) -> plus#(N, M), plus#(ok X1, ok X2) -> plus#(X1, X2))
(proper# U91(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U91(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U72(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U72(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U41(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U41(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U21(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U15(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# U15(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# isNat X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# U16 X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# U23 X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# U36 X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# U42 X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# U51 X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# U62 X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X2, proper# s X -> s# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# s X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# plus(X1, X2) -> proper# X2, proper# U92 X -> proper# X)
(proper# plus(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# isNatKind X -> isNatKind# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# isNatKind X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# isNat X -> isNat# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# isNat X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# plus(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# x(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U15(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U16 X -> U16# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U16 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U23 X -> U23# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U23 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U35(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U36 X -> U36# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U36 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U51 X -> U51# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U51 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# s X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2)
(active# plus(X1, X2) -> active# X2, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U102(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# plus(X1, X2) -> active# X2, active# U102(tt(), M, N) -> isNat# N)
(active# plus(X1, X2) -> active# X2, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# plus(X1, X2) -> active# X2, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# plus(X1, X2) -> active# X2, active# isNatKind s V1 -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# isNatKind s V1 -> U51# isNatKind V1)
(active# plus(X1, X2) -> active# X2, active# U101(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# plus(X1, X2) -> active# X2, active# U101(tt(), M, N) -> isNatKind# M)
(active# plus(X1, X2) -> active# X2, active# U103(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U103(tt(), M, N) -> isNatKind# N)
(active# plus(X1, X2) -> active# X2, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# plus(X1, X2) -> active# X2, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# plus(X1, X2) -> active# X2, active# isNat x(V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# plus(X1, X2) -> active# X2, active# isNat s V1 -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# plus(X1, X2) -> active# X2, active# U104(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# plus(X1, X2) -> active# X2, active# U104(tt(), M, N) -> x#(N, M))
(active# plus(X1, X2) -> active# X2, active# plus(N, s M) -> isNat# M)
(active# plus(X1, X2) -> active# X2, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# plus(X1, X2) -> active# X2, active# plus(N, 0()) -> isNat# N)
(active# plus(X1, X2) -> active# X2, active# plus(N, 0()) -> U71#(isNat N, N))
(active# plus(X1, X2) -> active# X2, active# plus(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# plus(X1, X2) -> active# X2)
(active# plus(X1, X2) -> active# X2, active# plus(X1, X2) -> plus#(X1, active X2))
(active# plus(X1, X2) -> active# X2, active# plus(X1, X2) -> plus#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# x(N, s M) -> U101#(isNat M, M, N))
(active# plus(X1, X2) -> active# X2, active# x(N, s M) -> isNat# M)
(active# plus(X1, X2) -> active# X2, active# x(N, 0()) -> isNat# N)
(active# plus(X1, X2) -> active# X2, active# x(N, 0()) -> U91#(isNat N, N))
(active# plus(X1, X2) -> active# X2, active# x(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# x(X1, X2) -> active# X2)
(active# plus(X1, X2) -> active# X2, active# x(X1, X2) -> x#(X1, active X2))
(active# plus(X1, X2) -> active# X2, active# x(X1, X2) -> x#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X2, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# plus(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# plus(X1, X2) -> active# X2, active# U13(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X2, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# plus(X1, X2) -> active# X2, active# U14(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U14(tt(), V1, V2) -> isNat# V1)
(active# plus(X1, X2) -> active# X2, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# plus(X1, X2) -> active# X2, active# U15(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U15(X1, X2) -> U15#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U15(tt(), V2) -> isNat# V2)
(active# plus(X1, X2) -> active# X2, active# U15(tt(), V2) -> U16# isNat V2)
(active# plus(X1, X2) -> active# X2, active# U16 X -> active# X)
(active# plus(X1, X2) -> active# X2, active# U16 X -> U16# active X)
(active# plus(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U22(tt(), V1) -> isNat# V1)
(active# plus(X1, X2) -> active# X2, active# U22(tt(), V1) -> U23# isNat V1)
(active# plus(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U21(X1, X2) -> U21#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U21(tt(), V1) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# plus(X1, X2) -> active# X2, active# U23 X -> active# X)
(active# plus(X1, X2) -> active# X2, active# U23 X -> U23# active X)
(active# plus(X1, X2) -> active# X2, active# U32(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X2, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# plus(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# plus(X1, X2) -> active# X2, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# plus(X1, X2) -> active# X2, active# U33(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X2, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# plus(X1, X2) -> active# X2, active# U34(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U34(tt(), V1, V2) -> isNat# V1)
(active# plus(X1, X2) -> active# X2, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# plus(X1, X2) -> active# X2, active# U35(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U35(X1, X2) -> U35#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U35(tt(), V2) -> isNat# V2)
(active# plus(X1, X2) -> active# X2, active# U35(tt(), V2) -> U36# isNat V2)
(active# plus(X1, X2) -> active# X2, active# U36 X -> active# X)
(active# plus(X1, X2) -> active# X2, active# U36 X -> U36# active X)
(active# plus(X1, X2) -> active# X2, active# U42 X -> active# X)
(active# plus(X1, X2) -> active# X2, active# U42 X -> U42# active X)
(active# plus(X1, X2) -> active# X2, active# U41(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U41(X1, X2) -> U41#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U41(tt(), V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X2, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# plus(X1, X2) -> active# X2, active# U51 X -> active# X)
(active# plus(X1, X2) -> active# X2, active# U51 X -> U51# active X)
(active# plus(X1, X2) -> active# X2, active# U62 X -> active# X)
(active# plus(X1, X2) -> active# X2, active# U62 X -> U62# active X)
(active# plus(X1, X2) -> active# X2, active# U61(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U61(X1, X2) -> U61#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U61(tt(), V2) -> isNatKind# V2)
(active# plus(X1, X2) -> active# X2, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# plus(X1, X2) -> active# X2, active# U72(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U72(X1, X2) -> U72#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U71(tt(), N) -> isNatKind# N)
(active# plus(X1, X2) -> active# X2, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# plus(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U82(tt(), M, N) -> isNat# N)
(active# plus(X1, X2) -> active# X2, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# plus(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U81(tt(), M, N) -> isNatKind# M)
(active# plus(X1, X2) -> active# X2, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# plus(X1, X2) -> active# X2, active# U83(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U83(tt(), M, N) -> isNatKind# N)
(active# plus(X1, X2) -> active# X2, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# plus(X1, X2) -> active# X2, active# U84(X1, X2, X3) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# plus(X1, X2) -> active# X2, active# U84(tt(), M, N) -> plus#(N, M))
(active# plus(X1, X2) -> active# X2, active# U84(tt(), M, N) -> s# plus(N, M))
(active# plus(X1, X2) -> active# X2, active# s X -> active# X)
(active# plus(X1, X2) -> active# X2, active# s X -> s# active X)
(active# plus(X1, X2) -> active# X2, active# U92 X -> active# X)
(active# plus(X1, X2) -> active# X2, active# U92 X -> U92# active X)
(active# plus(X1, X2) -> active# X2, active# U91(X1, X2) -> active# X1)
(active# plus(X1, X2) -> active# X2, active# U91(X1, X2) -> U91#(active X1, X2))
(active# plus(X1, X2) -> active# X2, active# U91(tt(), N) -> isNatKind# N)
(active# plus(X1, X2) -> active# X2, active# U91(tt(), N) -> U92# isNatKind N)
(active# U21(tt(), V1) -> U22#(isNatKind V1, V1), U22#(ok X1, ok X2) -> U22#(X1, X2))
(active# U81(tt(), M, N) -> isNatKind# M, isNatKind# ok X -> isNatKind# X)
(active# plus(N, s M) -> isNat# M, isNat# ok X -> isNat# X)
(active# U61(tt(), V2) -> isNatKind# V2, isNatKind# ok X -> isNatKind# X)
(active# U35(tt(), V2) -> isNat# V2, isNat# ok X -> isNat# X)
(active# U32(tt(), V1, V2) -> isNatKind# V2, isNatKind# ok X -> isNatKind# X)
(active# U13(tt(), V1, V2) -> isNatKind# V2, isNatKind# ok X -> isNatKind# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U84(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U84(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U84(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U81(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U81(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U81(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U14(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U14(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U14(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U11(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U104(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U104(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U104(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# isNatKind X -> isNatKind# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# isNatKind X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# isNat X -> isNat# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# isNat X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# plus(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# x(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U15(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U16 X -> U16# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U16 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U23 X -> U23# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U23 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U35(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U36 X -> U36# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U36 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U51 X -> U51# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U51 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U101(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# s X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1)
(proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2)
(proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3), U84#(mark X1, X2, X3) -> U84#(X1, X2, X3))
(proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3), U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3))
(proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3))
(proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3))
(proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3), U34#(mark X1, X2, X3) -> U34#(X1, X2, X3))
(proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3), U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3))
(proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3))
(proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3))
(proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3), U14#(mark X1, X2, X3) -> U14#(X1, X2, X3))
(proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3), U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3))
(proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3))
(proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3))
(proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3), U104#(mark X1, X2, X3) -> U104#(X1, X2, X3))
(proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3), U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3))
(proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3))
(proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3))
(active# U83(tt(), M, N) -> U84#(isNatKind N, M, N), U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3))
(active# U82(tt(), M, N) -> U83#(isNat N, M, N), U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3))
(active# plus(N, s M) -> U81#(isNat M, M, N), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3))
(active# U101(tt(), M, N) -> U102#(isNatKind M, M, N), U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3))
(active# U91(tt(), N) -> isNatKind# N, isNatKind# ok X -> isNatKind# X)
(active# U82(tt(), M, N) -> isNat# N, isNat# ok X -> isNat# X)
(active# x(N, 0()) -> isNat# N, isNat# ok X -> isNat# X)
(active# U103(tt(), M, N) -> isNatKind# N, isNatKind# ok X -> isNatKind# X)
(active# U71(tt(), N) -> U72#(isNatKind N, N), U72#(ok X1, ok X2) -> U72#(X1, X2))
(active# plus(N, 0()) -> U71#(isNat N, N), U71#(ok X1, ok X2) -> U71#(X1, X2))
(active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2), U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3))
(active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2), U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3))
(active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3))
(active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3))
(active# U91(tt(), N) -> U92# isNatKind N, U92# ok X -> U92# X)
(active# isNatKind s V1 -> U51# isNatKind V1, U51# ok X -> U51# X)
(active# U41(tt(), V2) -> U42# isNatKind V2, U42# ok X -> U42# X)
(active# U15(tt(), V2) -> U16# isNat V2, U16# ok X -> U16# X)
(top# mark X -> top# proper X, top# mark X -> proper# X)
(top# mark X -> top# proper X, top# mark X -> top# proper X)
(top# mark X -> top# proper X, top# ok X -> active# X)
(top# mark X -> top# proper X, top# ok X -> top# active X)
(proper# s X -> s# proper X, s# mark X -> s# X)
(proper# s X -> s# proper X, s# ok X -> s# X)
(proper# U51 X -> U51# proper X, U51# mark X -> U51# X)
(proper# U51 X -> U51# proper X, U51# ok X -> U51# X)
(proper# U36 X -> U36# proper X, U36# mark X -> U36# X)
(proper# U36 X -> U36# proper X, U36# ok X -> U36# X)
(proper# U16 X -> U16# proper X, U16# mark X -> U16# X)
(proper# U16 X -> U16# proper X, U16# ok X -> U16# X)
(proper# isNatKind X -> isNatKind# proper X, isNatKind# ok X -> isNatKind# X)
(active# s X -> s# active X, s# mark X -> s# X)
(active# s X -> s# active X, s# ok X -> s# X)
(active# U51 X -> U51# active X, U51# mark X -> U51# X)
(active# U51 X -> U51# active X, U51# ok X -> U51# X)
(active# U36 X -> U36# active X, U36# mark X -> U36# X)
(active# U36 X -> U36# active X, U36# ok X -> U36# X)
(active# U16 X -> U16# active X, U16# mark X -> U16# X)
(active# U16 X -> U16# active X, U16# ok X -> U16# X)
(proper# U71(X1, X2) -> U71#(proper X1, proper X2), U71#(mark X1, X2) -> U71#(X1, X2))
(proper# U71(X1, X2) -> U71#(proper X1, proper X2), U71#(ok X1, ok X2) -> U71#(X1, X2))
(proper# U61(X1, X2) -> U61#(proper X1, proper X2), U61#(mark X1, X2) -> U61#(X1, X2))
(proper# U61(X1, X2) -> U61#(proper X1, proper X2), U61#(ok X1, ok X2) -> U61#(X1, X2))
(proper# U35(X1, X2) -> U35#(proper X1, proper X2), U35#(mark X1, X2) -> U35#(X1, X2))
(proper# U35(X1, X2) -> U35#(proper X1, proper X2), U35#(ok X1, ok X2) -> U35#(X1, X2))
(proper# U22(X1, X2) -> U22#(proper X1, proper X2), U22#(mark X1, X2) -> U22#(X1, X2))
(proper# U22(X1, X2) -> U22#(proper X1, proper X2), U22#(ok X1, ok X2) -> U22#(X1, X2))
(proper# x(X1, X2) -> x#(proper X1, proper X2), x#(X1, mark X2) -> x#(X1, X2))
(proper# x(X1, X2) -> x#(proper X1, proper X2), x#(mark X1, X2) -> x#(X1, X2))
(proper# x(X1, X2) -> x#(proper X1, proper X2), x#(ok X1, ok X2) -> x#(X1, X2))
(active# U34(tt(), V1, V2) -> U35#(isNat V1, V2), U35#(ok X1, ok X2) -> U35#(X1, X2))
(active# x(X1, X2) -> x#(X1, active X2), x#(X1, mark X2) -> x#(X1, X2))
(active# x(X1, X2) -> x#(X1, active X2), x#(mark X1, X2) -> x#(X1, X2))
(active# x(X1, X2) -> x#(X1, active X2), x#(ok X1, ok X2) -> x#(X1, X2))
(active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2), U61#(ok X1, ok X2) -> U61#(X1, X2))
(proper# U91(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U91(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U91(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U91(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U91(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U83(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U83(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U83(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U82(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U82(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U82(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U72(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U72(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U72(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U72(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U72(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U72(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U72(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U41(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U41(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U41(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U41(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U41(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U41(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U41(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U34(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U34(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U34(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U31(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U31(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U31(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U21(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U21(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U21(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U21(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U15(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U15(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U15(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U15(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# U15(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U15(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U15(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U13(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U13(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U13(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U12(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U12(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U12(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# isNat X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# U16 X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# U23 X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# U36 X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# U42 X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# U51 X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# U62 X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# plus(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# plus(X1, X2) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# plus(X1, X2) -> proper# X1, proper# s X -> s# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# s X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# plus(X1, X2) -> proper# X1, proper# U92 X -> proper# X)
(proper# plus(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# plus(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# plus(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U103(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U103(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U103(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# isNatKind X -> isNatKind# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# isNatKind X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# isNat X -> isNat# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# isNat X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# plus(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# x(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U15(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U16 X -> U16# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U16 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U23 X -> U23# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U23 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U35(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U36 X -> U36# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U36 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U51 X -> U51# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U51 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U102(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# s X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U102(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1)
(proper# U102(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2)
(active# U84(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U84(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U84(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U84(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U84(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U84(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U84(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U84(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U84(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U84(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U84(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U84(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U84(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U84(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U84(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U84(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U84(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U84(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U84(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U84(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U84(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U84(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U84(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U84(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U84(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U84(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U84(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U84(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U84(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U84(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U84(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U84(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U84(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U84(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U84(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U84(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U84(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U84(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U84(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U84(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U84(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U84(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U84(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U84(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U84(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U84(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U84(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U84(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U84(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U84(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U84(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U84(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U84(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U84(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U84(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U84(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U84(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U84(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U84(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U84(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U84(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U84(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U84(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U84(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U84(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U84(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U84(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U84(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U84(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U84(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U84(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U84(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U81(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U81(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U81(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U81(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U81(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U81(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U81(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U81(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U81(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U81(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U81(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U81(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U81(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U81(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U81(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U81(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U81(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U81(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U81(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U81(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U81(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U81(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U81(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U81(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U81(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U81(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U81(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U81(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U81(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U81(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U81(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U81(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U81(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U81(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U81(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U81(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U81(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U81(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U81(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U81(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U81(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U81(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U81(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U81(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U81(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U81(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U81(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U81(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U81(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U81(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U81(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U81(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U81(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U81(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U81(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U81(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U81(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U81(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U81(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U81(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U81(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U81(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U81(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U81(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U81(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U81(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U81(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U81(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U81(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U81(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U81(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U81(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U71(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U71(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U71(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U71(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U71(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U71(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U71(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U71(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U71(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U71(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U71(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U71(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U71(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U71(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U71(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U71(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U71(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U71(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U71(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U71(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U71(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U71(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U71(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U71(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U71(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U71(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U71(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U71(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U71(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U71(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U71(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U71(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U71(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U71(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U71(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U71(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U71(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U71(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U71(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U71(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U71(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U71(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U71(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U71(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U71(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U71(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U71(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U71(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U71(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U71(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U71(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U71(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U71(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U71(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U71(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U71(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U71(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U71(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U71(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U71(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U71(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U71(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U71(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U71(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U71(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U71(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U71(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U71(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U71(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U71(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U71(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U71(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U71(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U71(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U71(X1, X2) -> active# X1, active# s X -> active# X)
(active# U71(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U71(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U71(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U71(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U71(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U71(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U71(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U61(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U61(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U61(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U61(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U61(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U61(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U61(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U61(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U61(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U61(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U61(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U61(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U61(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U61(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U61(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U61(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U61(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U61(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U61(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U61(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U61(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U61(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U61(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U61(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U61(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U61(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U61(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U61(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U61(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U61(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U61(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U61(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U61(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U61(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U61(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U61(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U61(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U61(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U61(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U61(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U61(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U61(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U61(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U61(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U61(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U61(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U61(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U61(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U61(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U61(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U61(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U61(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U61(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U61(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U61(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U61(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U61(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U61(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U61(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U61(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U61(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U61(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U61(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U61(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U61(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U61(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U61(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U61(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U61(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U61(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U61(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U61(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U61(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U61(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U61(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U61(X1, X2) -> active# X1, active# s X -> active# X)
(active# U61(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U61(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U61(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U61(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U61(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U61(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U61(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U35(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U35(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U35(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U35(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U35(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U35(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U35(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U35(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U35(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U35(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U35(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U35(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U35(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U35(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U35(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U35(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U35(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U35(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U35(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U35(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U35(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U35(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U35(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U35(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U35(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U35(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U35(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U35(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U35(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U35(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U35(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U35(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U35(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U35(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U35(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U35(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U35(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U35(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U35(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U35(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U35(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U35(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U35(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U35(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U35(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U35(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U35(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U35(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U35(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U35(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U35(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U35(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U35(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U35(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U35(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U35(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U35(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U35(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U35(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U35(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U35(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U35(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U35(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U35(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U35(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U35(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U35(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U35(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U35(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U35(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U35(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U35(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U35(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U35(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U35(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U35(X1, X2) -> active# X1, active# s X -> active# X)
(active# U35(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U35(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U35(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U35(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U35(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U35(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U35(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U33(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U33(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U33(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U33(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U33(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U33(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U33(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U33(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U33(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U33(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U33(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U33(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U33(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U33(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U33(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U33(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U33(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U33(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U33(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U33(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U33(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U33(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U33(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U33(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U33(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U33(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U33(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U33(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U33(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U33(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U33(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U33(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U33(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U33(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U33(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U33(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U33(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U33(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U33(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U33(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U33(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U33(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U33(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U33(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U33(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U33(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U33(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U33(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U33(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U33(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U33(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U33(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U33(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U33(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U33(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U33(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U33(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U33(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U33(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U33(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U33(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U33(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U33(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U33(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U33(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U33(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U33(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U33(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U33(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U33(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U33(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U33(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U32(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U32(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U32(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U32(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U32(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U32(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U32(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U32(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U32(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U32(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U32(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U32(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U32(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U32(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U32(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U32(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U32(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U32(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U32(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U32(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U32(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U32(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U32(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U32(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U32(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U32(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U32(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U32(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U32(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U32(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U32(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U32(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U32(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U32(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U32(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U32(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U32(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U32(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U32(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U32(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U32(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U32(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U32(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U32(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U32(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U32(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U32(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U32(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U32(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U32(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U32(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U32(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U32(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U32(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U32(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U32(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U32(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U32(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U32(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U32(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U32(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U32(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U32(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U32(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U32(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U32(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U32(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U32(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U32(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U32(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U32(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U32(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U22(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U22(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U22(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U22(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U22(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U22(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U22(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U22(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U22(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U22(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U22(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U22(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U22(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U22(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U22(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U22(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U22(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U22(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U22(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U22(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U22(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U22(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U22(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U22(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U22(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U22(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U22(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U22(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U22(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U22(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U22(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U22(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U22(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U22(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U22(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U22(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# U22(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# U22(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U22(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U22(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# U22(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# U22(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U22(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U22(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U22(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U22(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U22(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U22(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U22(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U22(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U22(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U22(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# U22(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# U22(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# U22(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# U22(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U22(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U22(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# U22(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# U22(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# U22(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# U22(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U22(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U22(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U22(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U22(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U22(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U22(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U22(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U22(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U22(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U22(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U22(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U22(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U22(X1, X2) -> active# X1, active# s X -> active# X)
(active# U22(X1, X2) -> active# X1, active# s X -> s# active X)
(active# U22(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# U22(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# U22(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U22(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U22(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U22(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U14(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U14(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U14(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U14(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U14(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U14(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U14(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U14(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U14(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U14(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U14(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U14(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U14(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U14(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U14(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U14(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U14(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U14(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U14(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U14(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U14(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U14(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U14(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U14(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U14(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U14(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U14(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U14(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U14(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U14(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U14(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U14(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U14(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U14(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U14(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U14(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U14(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U14(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U14(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U14(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U14(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U14(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U14(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U14(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U14(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U14(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U14(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U14(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U14(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U14(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U14(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U14(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U14(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U14(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U14(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U14(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U14(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U14(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U14(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U14(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U14(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U14(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U14(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U14(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U14(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U14(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U14(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U14(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U14(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U14(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U14(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U14(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U11(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U11(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U11(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U11(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U11(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U11(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U11(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U11(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U11(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U11(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U11(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U11(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U11(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U11(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U11(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U11(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U11(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U11(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U11(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U11(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U11(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U11(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U11(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U11(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U11(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U11(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U11(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U11(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U11(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U11(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U11(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U11(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U11(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U11(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U11(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U11(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U11(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U11(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U11(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U11(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U11(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U11(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U11(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U11(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U11(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U11(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U11(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U11(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U11(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U11(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U11(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U11(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U11(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U11(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U11(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U11(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U11(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U11(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U11(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U11(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U11(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U11(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U11(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U11(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U11(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U11(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U11(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U11(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U11(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U11(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# x(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# x(X1, X2) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# x(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# x(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# x(X1, X2) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# x(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# x(X1, X2) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# x(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# x(X1, X2) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# x(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# x(X1, X2) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# x(X1, X2) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# x(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# x(X1, X2) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# x(X1, X2) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# x(X1, X2) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# x(X1, X2) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# x(X1, X2) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# x(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# x(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# x(X1, X2) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# x(X1, X2) -> active# X1, active# x(N, s M) -> isNat# M)
(active# x(X1, X2) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# x(X1, X2) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# x(X1, X2) -> active# X1, active# x(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# x(X1, X2) -> active# X2)
(active# x(X1, X2) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# x(X1, X2) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# x(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# x(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# x(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# x(X1, X2) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# x(X1, X2) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# x(X1, X2) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# x(X1, X2) -> active# X1, active# U16 X -> active# X)
(active# x(X1, X2) -> active# X1, active# U16 X -> U16# active X)
(active# x(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# x(X1, X2) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# x(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# x(X1, X2) -> active# X1, active# U23 X -> active# X)
(active# x(X1, X2) -> active# X1, active# U23 X -> U23# active X)
(active# x(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# x(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# x(X1, X2) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# x(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# x(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# x(X1, X2) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# x(X1, X2) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# x(X1, X2) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# x(X1, X2) -> active# X1, active# U36 X -> active# X)
(active# x(X1, X2) -> active# X1, active# U36 X -> U36# active X)
(active# x(X1, X2) -> active# X1, active# U42 X -> active# X)
(active# x(X1, X2) -> active# X1, active# U42 X -> U42# active X)
(active# x(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# x(X1, X2) -> active# X1, active# U51 X -> active# X)
(active# x(X1, X2) -> active# X1, active# U51 X -> U51# active X)
(active# x(X1, X2) -> active# X1, active# U62 X -> active# X)
(active# x(X1, X2) -> active# X1, active# U62 X -> U62# active X)
(active# x(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# x(X1, X2) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# x(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# x(X1, X2) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# x(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# x(X1, X2) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# x(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# x(X1, X2) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# x(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# x(X1, X2) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# x(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# x(X1, X2) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# x(X1, X2) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# x(X1, X2) -> active# X1, active# s X -> active# X)
(active# x(X1, X2) -> active# X1, active# s X -> s# active X)
(active# x(X1, X2) -> active# X1, active# U92 X -> active# X)
(active# x(X1, X2) -> active# X1, active# U92 X -> U92# active X)
(active# x(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# x(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# x(X1, X2) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# x(X1, X2) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U104(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U104(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U104(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U104(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U104(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U104(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U104(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U104(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U104(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U104(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U104(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U104(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U104(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U104(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U104(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U104(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U104(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U104(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U104(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U104(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U104(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U104(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U104(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U104(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U104(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U104(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U104(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U104(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U104(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U104(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U104(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U104(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U104(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U104(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U104(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U104(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U104(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U104(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U104(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U104(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U104(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U104(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U104(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U104(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U104(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U104(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U104(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U104(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U104(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U104(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U104(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U104(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U104(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U104(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U104(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U104(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U104(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U104(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U104(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U104(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U104(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U104(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U104(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U104(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U104(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U104(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U104(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U104(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U104(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U104(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U104(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U104(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(active# U101(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U102(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U101(X1, X2, X3) -> active# X1, active# U102(tt(), M, N) -> isNat# N)
(active# U101(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U101(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U101(X1, X2, X3) -> active# X1, active# U101(tt(), M, N) -> isNatKind# M)
(active# U101(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> isNatKind# N)
(active# U101(X1, X2, X3) -> active# X1, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U101(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# isNat s V1 -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U101(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U101(X1, X2, X3) -> active# X1, active# U104(tt(), M, N) -> x#(N, M))
(active# U101(X1, X2, X3) -> active# X1, active# plus(N, s M) -> isNat# M)
(active# U101(X1, X2, X3) -> active# X1, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U101(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> isNat# N)
(active# U101(X1, X2, X3) -> active# X1, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U101(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> active# X2)
(active# U101(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U101(X1, X2, X3) -> active# X1, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U101(X1, X2, X3) -> active# X1, active# x(N, s M) -> isNat# M)
(active# U101(X1, X2, X3) -> active# X1, active# x(N, 0()) -> isNat# N)
(active# U101(X1, X2, X3) -> active# X1, active# x(N, 0()) -> U91#(isNat N, N))
(active# U101(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# x(X1, X2) -> active# X2)
(active# U101(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(X1, active X2))
(active# U101(X1, X2, X3) -> active# X1, active# x(X1, X2) -> x#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U101(X1, X2, X3) -> active# X1, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U101(X1, X2, X3) -> active# X1, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U101(X1, X2, X3) -> active# X1, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> isNat# V2)
(active# U101(X1, X2, X3) -> active# X1, active# U15(tt(), V2) -> U16# isNat V2)
(active# U101(X1, X2, X3) -> active# X1, active# U16 X -> active# X)
(active# U101(X1, X2, X3) -> active# X1, active# U16 X -> U16# active X)
(active# U101(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> isNat# V1)
(active# U101(X1, X2, X3) -> active# X1, active# U22(tt(), V1) -> U23# isNat V1)
(active# U101(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U101(X1, X2, X3) -> active# X1, active# U23 X -> active# X)
(active# U101(X1, X2, X3) -> active# X1, active# U23 X -> U23# active X)
(active# U101(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U101(X1, X2, X3) -> active# X1, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U101(X1, X2, X3) -> active# X1, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U101(X1, X2, X3) -> active# X1, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U101(X1, X2, X3) -> active# X1, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U101(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> isNat# V2)
(active# U101(X1, X2, X3) -> active# X1, active# U35(tt(), V2) -> U36# isNat V2)
(active# U101(X1, X2, X3) -> active# X1, active# U36 X -> active# X)
(active# U101(X1, X2, X3) -> active# X1, active# U36 X -> U36# active X)
(active# U101(X1, X2, X3) -> active# X1, active# U42 X -> active# X)
(active# U101(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X)
(active# U101(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isNatKind# V2)
(active# U101(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U101(X1, X2, X3) -> active# X1, active# U51 X -> active# X)
(active# U101(X1, X2, X3) -> active# X1, active# U51 X -> U51# active X)
(active# U101(X1, X2, X3) -> active# X1, active# U62 X -> active# X)
(active# U101(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X)
(active# U101(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> isNatKind# V2)
(active# U101(X1, X2, X3) -> active# X1, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U101(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> isNatKind# N)
(active# U101(X1, X2, X3) -> active# X1, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U101(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> isNat# N)
(active# U101(X1, X2, X3) -> active# X1, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U101(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> isNatKind# M)
(active# U101(X1, X2, X3) -> active# X1, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U101(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> isNatKind# N)
(active# U101(X1, X2, X3) -> active# X1, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U101(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U101(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> plus#(N, M))
(active# U101(X1, X2, X3) -> active# X1, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U101(X1, X2, X3) -> active# X1, active# s X -> active# X)
(active# U101(X1, X2, X3) -> active# X1, active# s X -> s# active X)
(active# U101(X1, X2, X3) -> active# X1, active# U92 X -> active# X)
(active# U101(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X)
(active# U101(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1)
(active# U101(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U101(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> isNatKind# N)
(active# U101(X1, X2, X3) -> active# X1, active# U91(tt(), N) -> U92# isNatKind N)
(U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3), U84#(mark X1, X2, X3) -> U84#(X1, X2, X3))
(U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3), U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3))
(U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3), U83#(mark X1, X2, X3) -> U83#(X1, X2, X3))
(U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3), U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3))
(U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3))
(U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3))
(U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3))
(U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3))
(U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3), U34#(mark X1, X2, X3) -> U34#(X1, X2, X3))
(U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3), U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3))
(U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3), U33#(mark X1, X2, X3) -> U33#(X1, X2, X3))
(U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3), U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3))
(U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3))
(U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3))
(U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3), U32#(mark X1, X2, X3) -> U32#(X1, X2, X3))
(U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3), U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3))
(U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3), U14#(mark X1, X2, X3) -> U14#(X1, X2, X3))
(U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3), U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3))
(U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3), U13#(mark X1, X2, X3) -> U13#(X1, X2, X3))
(U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3), U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3))
(U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3))
(U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3))
(U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3))
(U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3))
(U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3), U104#(mark X1, X2, X3) -> U104#(X1, X2, X3))
(U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3), U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3))
(U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3), U103#(mark X1, X2, X3) -> U103#(X1, X2, X3))
(U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3), U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3))
(U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3))
(U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3))
(active# U84(X1, X2, X3) -> U84#(active X1, X2, X3), U84#(mark X1, X2, X3) -> U84#(X1, X2, X3))
(active# U84(X1, X2, X3) -> U84#(active X1, X2, X3), U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3))
(active# U81(X1, X2, X3) -> U81#(active X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3))
(active# U81(X1, X2, X3) -> U81#(active X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3))
(active# U34(X1, X2, X3) -> U34#(active X1, X2, X3), U34#(mark X1, X2, X3) -> U34#(X1, X2, X3))
(active# U34(X1, X2, X3) -> U34#(active X1, X2, X3), U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3))
(active# U31(X1, X2, X3) -> U31#(active X1, X2, X3), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3))
(active# U31(X1, X2, X3) -> U31#(active X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3))
(active# U14(X1, X2, X3) -> U14#(active X1, X2, X3), U14#(mark X1, X2, X3) -> U14#(X1, X2, X3))
(active# U14(X1, X2, X3) -> U14#(active X1, X2, X3), U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3))
(active# U11(X1, X2, X3) -> U11#(active X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3))
(active# U11(X1, X2, X3) -> U11#(active X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3))
(active# U104(X1, X2, X3) -> U104#(active X1, X2, X3), U104#(mark X1, X2, X3) -> U104#(X1, X2, X3))
(active# U104(X1, X2, X3) -> U104#(active X1, X2, X3), U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3))
(active# U101(X1, X2, X3) -> U101#(active X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3))
(active# U101(X1, X2, X3) -> U101#(active X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3))
(U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3), U102#(mark X1, X2, X3) -> U102#(X1, X2, X3))
(U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3), U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3))
(U91#(ok X1, ok X2) -> U91#(X1, X2), U91#(mark X1, X2) -> U91#(X1, X2))
(U91#(ok X1, ok X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2))
(U71#(ok X1, ok X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2))
(U71#(ok X1, ok X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2))
(U72#(ok X1, ok X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2))
(U72#(ok X1, ok X2) -> U72#(X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2))
(U61#(ok X1, ok X2) -> U61#(X1, X2), U61#(mark X1, X2) -> U61#(X1, X2))
(U61#(ok X1, ok X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2))
(U41#(ok X1, ok X2) -> U41#(X1, X2), U41#(mark X1, X2) -> U41#(X1, X2))
(U41#(ok X1, ok X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2))
(U35#(ok X1, ok X2) -> U35#(X1, X2), U35#(mark X1, X2) -> U35#(X1, X2))
(U35#(ok X1, ok X2) -> U35#(X1, X2), U35#(ok X1, ok X2) -> U35#(X1, X2))
(U21#(ok X1, ok X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2))
(U21#(ok X1, ok X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2))
(U22#(ok X1, ok X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2))
(U22#(ok X1, ok X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2))
(U15#(ok X1, ok X2) -> U15#(X1, X2), U15#(mark X1, X2) -> U15#(X1, X2))
(U15#(ok X1, ok X2) -> U15#(X1, X2), U15#(ok X1, ok X2) -> U15#(X1, X2))
(x#(ok X1, ok X2) -> x#(X1, X2), x#(X1, mark X2) -> x#(X1, X2))
(x#(ok X1, ok X2) -> x#(X1, X2), x#(mark X1, X2) -> x#(X1, X2))
(x#(ok X1, ok X2) -> x#(X1, X2), x#(ok X1, ok X2) -> x#(X1, X2))
(x#(X1, mark X2) -> x#(X1, X2), x#(X1, mark X2) -> x#(X1, X2))
(x#(X1, mark X2) -> x#(X1, X2), x#(mark X1, X2) -> x#(X1, X2))
(x#(X1, mark X2) -> x#(X1, X2), x#(ok X1, ok X2) -> x#(X1, X2))
(plus#(mark X1, X2) -> plus#(X1, X2), plus#(X1, mark X2) -> plus#(X1, X2))
(plus#(mark X1, X2) -> plus#(X1, X2), plus#(mark X1, X2) -> plus#(X1, X2))
(plus#(mark X1, X2) -> plus#(X1, X2), plus#(ok X1, ok X2) -> plus#(X1, X2))
(active# U91(X1, X2) -> U91#(active X1, X2), U91#(mark X1, X2) -> U91#(X1, X2))
(active# U91(X1, X2) -> U91#(active X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2))
(active# U72(X1, X2) -> U72#(active X1, X2), U72#(mark X1, X2) -> U72#(X1, X2))
(active# U72(X1, X2) -> U72#(active X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2))
(active# U41(X1, X2) -> U41#(active X1, X2), U41#(mark X1, X2) -> U41#(X1, X2))
(active# U41(X1, X2) -> U41#(active X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2))
(active# U21(X1, X2) -> U21#(active X1, X2), U21#(mark X1, X2) -> U21#(X1, X2))
(active# U21(X1, X2) -> U21#(active X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2))
(active# U15(X1, X2) -> U15#(active X1, X2), U15#(mark X1, X2) -> U15#(X1, X2))
(active# U15(X1, X2) -> U15#(active X1, X2), U15#(ok X1, ok X2) -> U15#(X1, X2))
(active# plus(X1, X2) -> plus#(active X1, X2), plus#(X1, mark X2) -> plus#(X1, X2))
(active# plus(X1, X2) -> plus#(active X1, X2), plus#(mark X1, X2) -> plus#(X1, X2))
(active# plus(X1, X2) -> plus#(active X1, X2), plus#(ok X1, ok X2) -> plus#(X1, X2))
(top# mark X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(top# mark X -> proper# X, proper# isNatKind X -> proper# X)
(top# mark X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# isNat X -> isNat# proper X)
(top# mark X -> proper# X, proper# isNat X -> proper# X)
(top# mark X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(top# mark X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(top# mark X -> proper# X, proper# x(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# x(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U16 X -> U16# proper X)
(top# mark X -> proper# X, proper# U16 X -> proper# X)
(top# mark X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U23 X -> U23# proper X)
(top# mark X -> proper# X, proper# U23 X -> proper# X)
(top# mark X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U36 X -> U36# proper X)
(top# mark X -> proper# X, proper# U36 X -> proper# X)
(top# mark X -> proper# X, proper# U42 X -> U42# proper X)
(top# mark X -> proper# X, proper# U42 X -> proper# X)
(top# mark X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U51 X -> U51# proper X)
(top# mark X -> proper# X, proper# U51 X -> proper# X)
(top# mark X -> proper# X, proper# U62 X -> U62# proper X)
(top# mark X -> proper# X, proper# U62 X -> proper# X)
(top# mark X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(top# mark X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(top# mark X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(top# mark X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(top# mark X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(top# mark X -> proper# X, proper# s X -> s# proper X)
(top# mark X -> proper# X, proper# s X -> proper# X)
(top# mark X -> proper# X, proper# U92 X -> U92# proper X)
(top# mark X -> proper# X, proper# U92 X -> proper# X)
(top# mark X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(top# mark X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(top# mark X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# s X -> proper# X, proper# isNatKind X -> proper# X)
(proper# s X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# s X -> proper# X, proper# isNat X -> proper# X)
(proper# s X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# s X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# s X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U16 X -> U16# proper X)
(proper# s X -> proper# X, proper# U16 X -> proper# X)
(proper# s X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U23 X -> U23# proper X)
(proper# s X -> proper# X, proper# U23 X -> proper# X)
(proper# s X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U36 X -> U36# proper X)
(proper# s X -> proper# X, proper# U36 X -> proper# X)
(proper# s X -> proper# X, proper# U42 X -> U42# proper X)
(proper# s X -> proper# X, proper# U42 X -> proper# X)
(proper# s X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U51 X -> U51# proper X)
(proper# s X -> proper# X, proper# U51 X -> proper# X)
(proper# s X -> proper# X, proper# U62 X -> U62# proper X)
(proper# s X -> proper# X, proper# U62 X -> proper# X)
(proper# s X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# s X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# s X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# s X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# s X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# s X -> proper# X, proper# s X -> s# proper X)
(proper# s X -> proper# X, proper# s X -> proper# X)
(proper# s X -> proper# X, proper# U92 X -> U92# proper X)
(proper# s X -> proper# X, proper# U92 X -> proper# X)
(proper# s X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# s X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# s X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# U51 X -> proper# X, proper# isNatKind X -> proper# X)
(proper# U51 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# U51 X -> proper# X, proper# isNat X -> proper# X)
(proper# U51 X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U16 X -> U16# proper X)
(proper# U51 X -> proper# X, proper# U16 X -> proper# X)
(proper# U51 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U23 X -> U23# proper X)
(proper# U51 X -> proper# X, proper# U23 X -> proper# X)
(proper# U51 X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U36 X -> U36# proper X)
(proper# U51 X -> proper# X, proper# U36 X -> proper# X)
(proper# U51 X -> proper# X, proper# U42 X -> U42# proper X)
(proper# U51 X -> proper# X, proper# U42 X -> proper# X)
(proper# U51 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U51 X -> U51# proper X)
(proper# U51 X -> proper# X, proper# U51 X -> proper# X)
(proper# U51 X -> proper# X, proper# U62 X -> U62# proper X)
(proper# U51 X -> proper# X, proper# U62 X -> proper# X)
(proper# U51 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# U51 X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U51 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U51 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U51 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U51 X -> proper# X, proper# s X -> s# proper X)
(proper# U51 X -> proper# X, proper# s X -> proper# X)
(proper# U51 X -> proper# X, proper# U92 X -> U92# proper X)
(proper# U51 X -> proper# X, proper# U92 X -> proper# X)
(proper# U51 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U51 X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# U51 X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# U36 X -> proper# X, proper# isNatKind X -> proper# X)
(proper# U36 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# U36 X -> proper# X, proper# isNat X -> proper# X)
(proper# U36 X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U16 X -> U16# proper X)
(proper# U36 X -> proper# X, proper# U16 X -> proper# X)
(proper# U36 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U23 X -> U23# proper X)
(proper# U36 X -> proper# X, proper# U23 X -> proper# X)
(proper# U36 X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U36 X -> U36# proper X)
(proper# U36 X -> proper# X, proper# U36 X -> proper# X)
(proper# U36 X -> proper# X, proper# U42 X -> U42# proper X)
(proper# U36 X -> proper# X, proper# U42 X -> proper# X)
(proper# U36 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U51 X -> U51# proper X)
(proper# U36 X -> proper# X, proper# U51 X -> proper# X)
(proper# U36 X -> proper# X, proper# U62 X -> U62# proper X)
(proper# U36 X -> proper# X, proper# U62 X -> proper# X)
(proper# U36 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# U36 X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U36 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U36 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U36 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U36 X -> proper# X, proper# s X -> s# proper X)
(proper# U36 X -> proper# X, proper# s X -> proper# X)
(proper# U36 X -> proper# X, proper# U92 X -> U92# proper X)
(proper# U36 X -> proper# X, proper# U92 X -> proper# X)
(proper# U36 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U36 X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# U36 X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# U16 X -> proper# X, proper# isNatKind X -> proper# X)
(proper# U16 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# U16 X -> proper# X, proper# isNat X -> proper# X)
(proper# U16 X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U16 X -> U16# proper X)
(proper# U16 X -> proper# X, proper# U16 X -> proper# X)
(proper# U16 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U23 X -> U23# proper X)
(proper# U16 X -> proper# X, proper# U23 X -> proper# X)
(proper# U16 X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U36 X -> U36# proper X)
(proper# U16 X -> proper# X, proper# U36 X -> proper# X)
(proper# U16 X -> proper# X, proper# U42 X -> U42# proper X)
(proper# U16 X -> proper# X, proper# U42 X -> proper# X)
(proper# U16 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U51 X -> U51# proper X)
(proper# U16 X -> proper# X, proper# U51 X -> proper# X)
(proper# U16 X -> proper# X, proper# U62 X -> U62# proper X)
(proper# U16 X -> proper# X, proper# U62 X -> proper# X)
(proper# U16 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# U16 X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# U16 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# U16 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# U16 X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# U16 X -> proper# X, proper# s X -> s# proper X)
(proper# U16 X -> proper# X, proper# s X -> proper# X)
(proper# U16 X -> proper# X, proper# U92 X -> U92# proper X)
(proper# U16 X -> proper# X, proper# U92 X -> proper# X)
(proper# U16 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# U16 X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# U16 X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U102(X1, X2, X3) -> U102#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U102(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U102(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U102(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# isNatKind X -> isNatKind# proper X)
(proper# isNatKind X -> proper# X, proper# isNatKind X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U103(X1, X2, X3) -> U103#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U103(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U103(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U103(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# isNat X -> isNat# proper X)
(proper# isNatKind X -> proper# X, proper# isNat X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U104(X1, X2, X3) -> U104#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U104(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U104(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U104(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# plus(X1, X2) -> plus#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# plus(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# plus(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# x(X1, X2) -> x#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# x(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# x(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U13(X1, X2, X3) -> U13#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U13(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U13(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U13(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U14(X1, X2, X3) -> U14#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U14(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U14(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U14(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U15(X1, X2) -> U15#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U15(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U15(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U16 X -> U16# proper X)
(proper# isNatKind X -> proper# X, proper# U16 X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U22(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U22(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U21(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U21(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U23 X -> U23# proper X)
(proper# isNatKind X -> proper# X, proper# U23 X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U32(X1, X2, X3) -> U32#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U32(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U32(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U32(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U33(X1, X2, X3) -> U33#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U33(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U33(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U33(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U34(X1, X2, X3) -> U34#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U34(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U34(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U34(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U35(X1, X2) -> U35#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U35(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U35(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U36 X -> U36# proper X)
(proper# isNatKind X -> proper# X, proper# U36 X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U42 X -> U42# proper X)
(proper# isNatKind X -> proper# X, proper# U42 X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U41(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U41(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U51 X -> U51# proper X)
(proper# isNatKind X -> proper# X, proper# U51 X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U62 X -> U62# proper X)
(proper# isNatKind X -> proper# X, proper# U62 X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U61(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U61(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U72(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U72(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U71(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U71(X1, X2) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U83(X1, X2, X3) -> U83#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U83(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U83(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U83(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# U84(X1, X2, X3) -> U84#(proper X1, proper X2, proper X3))
(proper# isNatKind X -> proper# X, proper# U84(X1, X2, X3) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U84(X1, X2, X3) -> proper# X2)
(proper# isNatKind X -> proper# X, proper# U84(X1, X2, X3) -> proper# X3)
(proper# isNatKind X -> proper# X, proper# s X -> s# proper X)
(proper# isNatKind X -> proper# X, proper# s X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U92 X -> U92# proper X)
(proper# isNatKind X -> proper# X, proper# U92 X -> proper# X)
(proper# isNatKind X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2))
(proper# isNatKind X -> proper# X, proper# U91(X1, X2) -> proper# X1)
(proper# isNatKind X -> proper# X, proper# U91(X1, X2) -> proper# X2)
(U92# mark X -> U92# X, U92# mark X -> U92# X)
(U92# mark X -> U92# X, U92# ok X -> U92# X)
(s# mark X -> s# X, s# mark X -> s# X)
(s# mark X -> s# X, s# ok X -> s# X)
(U62# mark X -> U62# X, U62# mark X -> U62# X)
(U62# mark X -> U62# X, U62# ok X -> U62# X)
(U51# mark X -> U51# X, U51# mark X -> U51# X)
(U51# mark X -> U51# X, U51# ok X -> U51# X)
(U42# mark X -> U42# X, U42# mark X -> U42# X)
(U42# mark X -> U42# X, U42# ok X -> U42# X)
(U36# mark X -> U36# X, U36# mark X -> U36# X)
(U36# mark X -> U36# X, U36# ok X -> U36# X)
(U23# mark X -> U23# X, U23# mark X -> U23# X)
(U23# mark X -> U23# X, U23# ok X -> U23# X)
(U16# mark X -> U16# X, U16# mark X -> U16# X)
(U16# mark X -> U16# X, U16# ok X -> U16# X)
(active# U92 X -> active# X, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U92 X -> active# X, active# U102(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U92 X -> active# X, active# U102(tt(), M, N) -> isNat# N)
(active# U92 X -> active# X, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U92 X -> active# X, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U92 X -> active# X, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U92 X -> active# X, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U92 X -> active# X, active# isNatKind s V1 -> isNatKind# V1)
(active# U92 X -> active# X, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U92 X -> active# X, active# U101(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U92 X -> active# X, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U92 X -> active# X, active# U101(tt(), M, N) -> isNatKind# M)
(active# U92 X -> active# X, active# U103(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U92 X -> active# X, active# U103(tt(), M, N) -> isNatKind# N)
(active# U92 X -> active# X, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U92 X -> active# X, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U92 X -> active# X, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U92 X -> active# X, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U92 X -> active# X, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U92 X -> active# X, active# isNat s V1 -> isNatKind# V1)
(active# U92 X -> active# X, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U92 X -> active# X, active# U104(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U92 X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U92 X -> active# X, active# U104(tt(), M, N) -> x#(N, M))
(active# U92 X -> active# X, active# plus(N, s M) -> isNat# M)
(active# U92 X -> active# X, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U92 X -> active# X, active# plus(N, 0()) -> isNat# N)
(active# U92 X -> active# X, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U92 X -> active# X, active# plus(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# plus(X1, X2) -> active# X2)
(active# U92 X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U92 X -> active# X, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U92 X -> active# X, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U92 X -> active# X, active# x(N, s M) -> isNat# M)
(active# U92 X -> active# X, active# x(N, 0()) -> isNat# N)
(active# U92 X -> active# X, active# x(N, 0()) -> U91#(isNat N, N))
(active# U92 X -> active# X, active# x(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# x(X1, X2) -> active# X2)
(active# U92 X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(active# U92 X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(active# U92 X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U92 X -> active# X, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U92 X -> active# X, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U92 X -> active# X, active# U11(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U92 X -> active# X, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U92 X -> active# X, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U92 X -> active# X, active# U13(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U92 X -> active# X, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U92 X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U92 X -> active# X, active# U14(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U92 X -> active# X, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U92 X -> active# X, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U92 X -> active# X, active# U15(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U92 X -> active# X, active# U15(tt(), V2) -> isNat# V2)
(active# U92 X -> active# X, active# U15(tt(), V2) -> U16# isNat V2)
(active# U92 X -> active# X, active# U16 X -> active# X)
(active# U92 X -> active# X, active# U16 X -> U16# active X)
(active# U92 X -> active# X, active# U22(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U92 X -> active# X, active# U22(tt(), V1) -> isNat# V1)
(active# U92 X -> active# X, active# U22(tt(), V1) -> U23# isNat V1)
(active# U92 X -> active# X, active# U21(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U92 X -> active# X, active# U21(tt(), V1) -> isNatKind# V1)
(active# U92 X -> active# X, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U92 X -> active# X, active# U23 X -> active# X)
(active# U92 X -> active# X, active# U23 X -> U23# active X)
(active# U92 X -> active# X, active# U32(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U92 X -> active# X, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U92 X -> active# X, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U92 X -> active# X, active# U31(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U92 X -> active# X, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U92 X -> active# X, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U92 X -> active# X, active# U33(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U92 X -> active# X, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U92 X -> active# X, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U92 X -> active# X, active# U34(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U92 X -> active# X, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U92 X -> active# X, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U92 X -> active# X, active# U35(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U92 X -> active# X, active# U35(tt(), V2) -> isNat# V2)
(active# U92 X -> active# X, active# U35(tt(), V2) -> U36# isNat V2)
(active# U92 X -> active# X, active# U36 X -> active# X)
(active# U92 X -> active# X, active# U36 X -> U36# active X)
(active# U92 X -> active# X, active# U42 X -> active# X)
(active# U92 X -> active# X, active# U42 X -> U42# active X)
(active# U92 X -> active# X, active# U41(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U92 X -> active# X, active# U41(tt(), V2) -> isNatKind# V2)
(active# U92 X -> active# X, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U92 X -> active# X, active# U51 X -> active# X)
(active# U92 X -> active# X, active# U51 X -> U51# active X)
(active# U92 X -> active# X, active# U62 X -> active# X)
(active# U92 X -> active# X, active# U62 X -> U62# active X)
(active# U92 X -> active# X, active# U61(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U92 X -> active# X, active# U61(tt(), V2) -> isNatKind# V2)
(active# U92 X -> active# X, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U92 X -> active# X, active# U72(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U92 X -> active# X, active# U71(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U92 X -> active# X, active# U71(tt(), N) -> isNatKind# N)
(active# U92 X -> active# X, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U92 X -> active# X, active# U82(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U92 X -> active# X, active# U82(tt(), M, N) -> isNat# N)
(active# U92 X -> active# X, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U92 X -> active# X, active# U81(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U92 X -> active# X, active# U81(tt(), M, N) -> isNatKind# M)
(active# U92 X -> active# X, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U92 X -> active# X, active# U83(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U92 X -> active# X, active# U83(tt(), M, N) -> isNatKind# N)
(active# U92 X -> active# X, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U92 X -> active# X, active# U84(X1, X2, X3) -> active# X1)
(active# U92 X -> active# X, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U92 X -> active# X, active# U84(tt(), M, N) -> plus#(N, M))
(active# U92 X -> active# X, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U92 X -> active# X, active# s X -> active# X)
(active# U92 X -> active# X, active# s X -> s# active X)
(active# U92 X -> active# X, active# U92 X -> active# X)
(active# U92 X -> active# X, active# U92 X -> U92# active X)
(active# U92 X -> active# X, active# U91(X1, X2) -> active# X1)
(active# U92 X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U92 X -> active# X, active# U91(tt(), N) -> isNatKind# N)
(active# U92 X -> active# X, active# U91(tt(), N) -> U92# isNatKind N)
(active# U62 X -> active# X, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U62 X -> active# X, active# U102(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U62 X -> active# X, active# U102(tt(), M, N) -> isNat# N)
(active# U62 X -> active# X, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U62 X -> active# X, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U62 X -> active# X, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U62 X -> active# X, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U62 X -> active# X, active# isNatKind s V1 -> isNatKind# V1)
(active# U62 X -> active# X, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U62 X -> active# X, active# U101(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U62 X -> active# X, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U62 X -> active# X, active# U101(tt(), M, N) -> isNatKind# M)
(active# U62 X -> active# X, active# U103(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U62 X -> active# X, active# U103(tt(), M, N) -> isNatKind# N)
(active# U62 X -> active# X, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U62 X -> active# X, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U62 X -> active# X, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U62 X -> active# X, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U62 X -> active# X, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U62 X -> active# X, active# isNat s V1 -> isNatKind# V1)
(active# U62 X -> active# X, active# isNat s V1 -> U21#(isNatKind V1, V1))
(active# U62 X -> active# X, active# U104(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U62 X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U62 X -> active# X, active# U104(tt(), M, N) -> x#(N, M))
(active# U62 X -> active# X, active# plus(N, s M) -> isNat# M)
(active# U62 X -> active# X, active# plus(N, s M) -> U81#(isNat M, M, N))
(active# U62 X -> active# X, active# plus(N, 0()) -> isNat# N)
(active# U62 X -> active# X, active# plus(N, 0()) -> U71#(isNat N, N))
(active# U62 X -> active# X, active# plus(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# plus(X1, X2) -> active# X2)
(active# U62 X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U62 X -> active# X, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U62 X -> active# X, active# x(N, s M) -> U101#(isNat M, M, N))
(active# U62 X -> active# X, active# x(N, s M) -> isNat# M)
(active# U62 X -> active# X, active# x(N, 0()) -> isNat# N)
(active# U62 X -> active# X, active# x(N, 0()) -> U91#(isNat N, N))
(active# U62 X -> active# X, active# x(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# x(X1, X2) -> active# X2)
(active# U62 X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(active# U62 X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(active# U62 X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U62 X -> active# X, active# U12(tt(), V1, V2) -> isNatKind# V2)
(active# U62 X -> active# X, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2))
(active# U62 X -> active# X, active# U11(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U62 X -> active# X, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U62 X -> active# X, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U62 X -> active# X, active# U13(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U62 X -> active# X, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U62 X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U62 X -> active# X, active# U14(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U62 X -> active# X, active# U14(tt(), V1, V2) -> isNat# V1)
(active# U62 X -> active# X, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2))
(active# U62 X -> active# X, active# U15(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U62 X -> active# X, active# U15(tt(), V2) -> isNat# V2)
(active# U62 X -> active# X, active# U15(tt(), V2) -> U16# isNat V2)
(active# U62 X -> active# X, active# U16 X -> active# X)
(active# U62 X -> active# X, active# U16 X -> U16# active X)
(active# U62 X -> active# X, active# U22(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U62 X -> active# X, active# U22(tt(), V1) -> isNat# V1)
(active# U62 X -> active# X, active# U22(tt(), V1) -> U23# isNat V1)
(active# U62 X -> active# X, active# U21(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U62 X -> active# X, active# U21(tt(), V1) -> isNatKind# V1)
(active# U62 X -> active# X, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U62 X -> active# X, active# U23 X -> active# X)
(active# U62 X -> active# X, active# U23 X -> U23# active X)
(active# U62 X -> active# X, active# U32(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U62 X -> active# X, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U62 X -> active# X, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U62 X -> active# X, active# U31(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U62 X -> active# X, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U62 X -> active# X, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U62 X -> active# X, active# U33(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U62 X -> active# X, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U62 X -> active# X, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U62 X -> active# X, active# U34(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U62 X -> active# X, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U62 X -> active# X, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U62 X -> active# X, active# U35(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U62 X -> active# X, active# U35(tt(), V2) -> isNat# V2)
(active# U62 X -> active# X, active# U35(tt(), V2) -> U36# isNat V2)
(active# U62 X -> active# X, active# U36 X -> active# X)
(active# U62 X -> active# X, active# U36 X -> U36# active X)
(active# U62 X -> active# X, active# U42 X -> active# X)
(active# U62 X -> active# X, active# U42 X -> U42# active X)
(active# U62 X -> active# X, active# U41(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U62 X -> active# X, active# U41(tt(), V2) -> isNatKind# V2)
(active# U62 X -> active# X, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U62 X -> active# X, active# U51 X -> active# X)
(active# U62 X -> active# X, active# U51 X -> U51# active X)
(active# U62 X -> active# X, active# U62 X -> active# X)
(active# U62 X -> active# X, active# U62 X -> U62# active X)
(active# U62 X -> active# X, active# U61(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U62 X -> active# X, active# U61(tt(), V2) -> isNatKind# V2)
(active# U62 X -> active# X, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U62 X -> active# X, active# U72(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U62 X -> active# X, active# U71(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U62 X -> active# X, active# U71(tt(), N) -> isNatKind# N)
(active# U62 X -> active# X, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U62 X -> active# X, active# U82(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U62 X -> active# X, active# U82(tt(), M, N) -> isNat# N)
(active# U62 X -> active# X, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U62 X -> active# X, active# U81(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U62 X -> active# X, active# U81(tt(), M, N) -> isNatKind# M)
(active# U62 X -> active# X, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U62 X -> active# X, active# U83(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U62 X -> active# X, active# U83(tt(), M, N) -> isNatKind# N)
(active# U62 X -> active# X, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U62 X -> active# X, active# U84(X1, X2, X3) -> active# X1)
(active# U62 X -> active# X, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U62 X -> active# X, active# U84(tt(), M, N) -> plus#(N, M))
(active# U62 X -> active# X, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U62 X -> active# X, active# s X -> active# X)
(active# U62 X -> active# X, active# s X -> s# active X)
(active# U62 X -> active# X, active# U92 X -> active# X)
(active# U62 X -> active# X, active# U92 X -> U92# active X)
(active# U62 X -> active# X, active# U91(X1, X2) -> active# X1)
(active# U62 X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U62 X -> active# X, active# U91(tt(), N) -> isNatKind# N)
(active# U62 X -> active# X, active# U91(tt(), N) -> U92# isNatKind N)
(active# U42 X -> active# X, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U42 X -> active# X, active# U102(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
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(active# U42 X -> active# X, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U42 X -> active# X, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U42 X -> active# X, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U42 X -> active# X, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U42 X -> active# X, active# isNatKind s V1 -> isNatKind# V1)
(active# U42 X -> active# X, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U42 X -> active# X, active# U101(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U42 X -> active# X, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U42 X -> active# X, active# U101(tt(), M, N) -> isNatKind# M)
(active# U42 X -> active# X, active# U103(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U42 X -> active# X, active# U103(tt(), M, N) -> isNatKind# N)
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(active# U42 X -> active# X, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
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(active# U42 X -> active# X, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
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(active# U42 X -> active# X, active# isNat s V1 -> U21#(isNatKind V1, V1))
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(active# U42 X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U42 X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U42 X -> active# X, active# U104(tt(), M, N) -> x#(N, M))
(active# U42 X -> active# X, active# plus(N, s M) -> isNat# M)
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(active# U42 X -> active# X, active# plus(X1, X2) -> active# X1)
(active# U42 X -> active# X, active# plus(X1, X2) -> active# X2)
(active# U42 X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U42 X -> active# X, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U42 X -> active# X, active# x(N, s M) -> U101#(isNat M, M, N))
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(active# U42 X -> active# X, active# x(X1, X2) -> active# X1)
(active# U42 X -> active# X, active# x(X1, X2) -> active# X2)
(active# U42 X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(active# U42 X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(active# U42 X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
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(active# U42 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
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(active# U42 X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U42 X -> active# X, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U42 X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
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(active# U42 X -> active# X, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
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(active# U42 X -> active# X, active# U15(X1, X2) -> U15#(active X1, X2))
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(active# U42 X -> active# X, active# U16 X -> U16# active X)
(active# U42 X -> active# X, active# U22(X1, X2) -> active# X1)
(active# U42 X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2))
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(active# U42 X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U42 X -> active# X, active# U21(tt(), V1) -> isNatKind# V1)
(active# U42 X -> active# X, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U42 X -> active# X, active# U23 X -> active# X)
(active# U42 X -> active# X, active# U23 X -> U23# active X)
(active# U42 X -> active# X, active# U32(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
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(active# U42 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
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(active# U42 X -> active# X, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
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(active# U42 X -> active# X, active# U34(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
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(active# U42 X -> active# X, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U42 X -> active# X, active# U35(tt(), V2) -> isNat# V2)
(active# U42 X -> active# X, active# U35(tt(), V2) -> U36# isNat V2)
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(active# U42 X -> active# X, active# U36 X -> U36# active X)
(active# U42 X -> active# X, active# U42 X -> active# X)
(active# U42 X -> active# X, active# U42 X -> U42# active X)
(active# U42 X -> active# X, active# U41(X1, X2) -> active# X1)
(active# U42 X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2))
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(active# U42 X -> active# X, active# U41(tt(), V2) -> U42# isNatKind V2)
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(active# U42 X -> active# X, active# U51 X -> U51# active X)
(active# U42 X -> active# X, active# U62 X -> active# X)
(active# U42 X -> active# X, active# U62 X -> U62# active X)
(active# U42 X -> active# X, active# U61(X1, X2) -> active# X1)
(active# U42 X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U42 X -> active# X, active# U61(tt(), V2) -> isNatKind# V2)
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(active# U42 X -> active# X, active# U72(X1, X2) -> active# X1)
(active# U42 X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U42 X -> active# X, active# U71(X1, X2) -> active# X1)
(active# U42 X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U42 X -> active# X, active# U71(tt(), N) -> isNatKind# N)
(active# U42 X -> active# X, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U42 X -> active# X, active# U82(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U42 X -> active# X, active# U82(tt(), M, N) -> isNat# N)
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(active# U42 X -> active# X, active# U81(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U42 X -> active# X, active# U81(tt(), M, N) -> isNatKind# M)
(active# U42 X -> active# X, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U42 X -> active# X, active# U83(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U42 X -> active# X, active# U83(tt(), M, N) -> isNatKind# N)
(active# U42 X -> active# X, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U42 X -> active# X, active# U84(X1, X2, X3) -> active# X1)
(active# U42 X -> active# X, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U42 X -> active# X, active# U84(tt(), M, N) -> plus#(N, M))
(active# U42 X -> active# X, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U42 X -> active# X, active# s X -> active# X)
(active# U42 X -> active# X, active# s X -> s# active X)
(active# U42 X -> active# X, active# U92 X -> active# X)
(active# U42 X -> active# X, active# U92 X -> U92# active X)
(active# U42 X -> active# X, active# U91(X1, X2) -> active# X1)
(active# U42 X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U42 X -> active# X, active# U91(tt(), N) -> isNatKind# N)
(active# U42 X -> active# X, active# U91(tt(), N) -> U92# isNatKind N)
(active# U23 X -> active# X, active# U102(X1, X2, X3) -> U102#(active X1, X2, X3))
(active# U23 X -> active# X, active# U102(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U102(tt(), M, N) -> U103#(isNat N, M, N))
(active# U23 X -> active# X, active# U102(tt(), M, N) -> isNat# N)
(active# U23 X -> active# X, active# isNatKind plus(V1, V2) -> isNatKind# V1)
(active# U23 X -> active# X, active# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2))
(active# U23 X -> active# X, active# isNatKind x(V1, V2) -> isNatKind# V1)
(active# U23 X -> active# X, active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2))
(active# U23 X -> active# X, active# isNatKind s V1 -> isNatKind# V1)
(active# U23 X -> active# X, active# isNatKind s V1 -> U51# isNatKind V1)
(active# U23 X -> active# X, active# U101(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3))
(active# U23 X -> active# X, active# U101(tt(), M, N) -> U102#(isNatKind M, M, N))
(active# U23 X -> active# X, active# U101(tt(), M, N) -> isNatKind# M)
(active# U23 X -> active# X, active# U103(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U103(X1, X2, X3) -> U103#(active X1, X2, X3))
(active# U23 X -> active# X, active# U103(tt(), M, N) -> isNatKind# N)
(active# U23 X -> active# X, active# U103(tt(), M, N) -> U104#(isNatKind N, M, N))
(active# U23 X -> active# X, active# isNat plus(V1, V2) -> isNatKind# V1)
(active# U23 X -> active# X, active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2))
(active# U23 X -> active# X, active# isNat x(V1, V2) -> isNatKind# V1)
(active# U23 X -> active# X, active# isNat x(V1, V2) -> U31#(isNatKind V1, V1, V2))
(active# U23 X -> active# X, active# isNat s V1 -> isNatKind# V1)
(active# U23 X -> active# X, active# isNat s V1 -> U21#(isNatKind V1, V1))
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(active# U23 X -> active# X, active# U104(X1, X2, X3) -> U104#(active X1, X2, X3))
(active# U23 X -> active# X, active# U104(tt(), M, N) -> plus#(x(N, M), N))
(active# U23 X -> active# X, active# U104(tt(), M, N) -> x#(N, M))
(active# U23 X -> active# X, active# plus(N, s M) -> isNat# M)
(active# U23 X -> active# X, active# plus(N, s M) -> U81#(isNat M, M, N))
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(active# U23 X -> active# X, active# plus(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# plus(X1, X2) -> active# X2)
(active# U23 X -> active# X, active# plus(X1, X2) -> plus#(X1, active X2))
(active# U23 X -> active# X, active# plus(X1, X2) -> plus#(active X1, X2))
(active# U23 X -> active# X, active# x(N, s M) -> U101#(isNat M, M, N))
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(active# U23 X -> active# X, active# x(N, 0()) -> isNat# N)
(active# U23 X -> active# X, active# x(N, 0()) -> U91#(isNat N, N))
(active# U23 X -> active# X, active# x(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# x(X1, X2) -> active# X2)
(active# U23 X -> active# X, active# x(X1, X2) -> x#(X1, active X2))
(active# U23 X -> active# X, active# x(X1, X2) -> x#(active X1, X2))
(active# U23 X -> active# X, active# U12(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3))
(active# U23 X -> active# X, active# U12(tt(), V1, V2) -> isNatKind# V2)
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(active# U23 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3))
(active# U23 X -> active# X, active# U11(tt(), V1, V2) -> isNatKind# V1)
(active# U23 X -> active# X, active# U11(tt(), V1, V2) -> U12#(isNatKind V1, V1, V2))
(active# U23 X -> active# X, active# U13(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U13(X1, X2, X3) -> U13#(active X1, X2, X3))
(active# U23 X -> active# X, active# U13(tt(), V1, V2) -> isNatKind# V2)
(active# U23 X -> active# X, active# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2))
(active# U23 X -> active# X, active# U14(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U14(X1, X2, X3) -> U14#(active X1, X2, X3))
(active# U23 X -> active# X, active# U14(tt(), V1, V2) -> isNat# V1)
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(active# U23 X -> active# X, active# U15(X1, X2) -> U15#(active X1, X2))
(active# U23 X -> active# X, active# U15(tt(), V2) -> isNat# V2)
(active# U23 X -> active# X, active# U15(tt(), V2) -> U16# isNat V2)
(active# U23 X -> active# X, active# U16 X -> active# X)
(active# U23 X -> active# X, active# U16 X -> U16# active X)
(active# U23 X -> active# X, active# U22(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2))
(active# U23 X -> active# X, active# U22(tt(), V1) -> isNat# V1)
(active# U23 X -> active# X, active# U22(tt(), V1) -> U23# isNat V1)
(active# U23 X -> active# X, active# U21(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2))
(active# U23 X -> active# X, active# U21(tt(), V1) -> isNatKind# V1)
(active# U23 X -> active# X, active# U21(tt(), V1) -> U22#(isNatKind V1, V1))
(active# U23 X -> active# X, active# U23 X -> active# X)
(active# U23 X -> active# X, active# U23 X -> U23# active X)
(active# U23 X -> active# X, active# U32(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U32(X1, X2, X3) -> U32#(active X1, X2, X3))
(active# U23 X -> active# X, active# U32(tt(), V1, V2) -> isNatKind# V2)
(active# U23 X -> active# X, active# U32(tt(), V1, V2) -> U33#(isNatKind V2, V1, V2))
(active# U23 X -> active# X, active# U31(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3))
(active# U23 X -> active# X, active# U31(tt(), V1, V2) -> isNatKind# V1)
(active# U23 X -> active# X, active# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2))
(active# U23 X -> active# X, active# U33(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U33(X1, X2, X3) -> U33#(active X1, X2, X3))
(active# U23 X -> active# X, active# U33(tt(), V1, V2) -> isNatKind# V2)
(active# U23 X -> active# X, active# U33(tt(), V1, V2) -> U34#(isNatKind V2, V1, V2))
(active# U23 X -> active# X, active# U34(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U34(X1, X2, X3) -> U34#(active X1, X2, X3))
(active# U23 X -> active# X, active# U34(tt(), V1, V2) -> isNat# V1)
(active# U23 X -> active# X, active# U34(tt(), V1, V2) -> U35#(isNat V1, V2))
(active# U23 X -> active# X, active# U35(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# U35(X1, X2) -> U35#(active X1, X2))
(active# U23 X -> active# X, active# U35(tt(), V2) -> isNat# V2)
(active# U23 X -> active# X, active# U35(tt(), V2) -> U36# isNat V2)
(active# U23 X -> active# X, active# U36 X -> active# X)
(active# U23 X -> active# X, active# U36 X -> U36# active X)
(active# U23 X -> active# X, active# U42 X -> active# X)
(active# U23 X -> active# X, active# U42 X -> U42# active X)
(active# U23 X -> active# X, active# U41(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2))
(active# U23 X -> active# X, active# U41(tt(), V2) -> isNatKind# V2)
(active# U23 X -> active# X, active# U41(tt(), V2) -> U42# isNatKind V2)
(active# U23 X -> active# X, active# U51 X -> active# X)
(active# U23 X -> active# X, active# U51 X -> U51# active X)
(active# U23 X -> active# X, active# U62 X -> active# X)
(active# U23 X -> active# X, active# U62 X -> U62# active X)
(active# U23 X -> active# X, active# U61(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2))
(active# U23 X -> active# X, active# U61(tt(), V2) -> isNatKind# V2)
(active# U23 X -> active# X, active# U61(tt(), V2) -> U62# isNatKind V2)
(active# U23 X -> active# X, active# U72(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2))
(active# U23 X -> active# X, active# U71(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2))
(active# U23 X -> active# X, active# U71(tt(), N) -> isNatKind# N)
(active# U23 X -> active# X, active# U71(tt(), N) -> U72#(isNatKind N, N))
(active# U23 X -> active# X, active# U82(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3))
(active# U23 X -> active# X, active# U82(tt(), M, N) -> isNat# N)
(active# U23 X -> active# X, active# U82(tt(), M, N) -> U83#(isNat N, M, N))
(active# U23 X -> active# X, active# U81(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3))
(active# U23 X -> active# X, active# U81(tt(), M, N) -> isNatKind# M)
(active# U23 X -> active# X, active# U81(tt(), M, N) -> U82#(isNatKind M, M, N))
(active# U23 X -> active# X, active# U83(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U83(X1, X2, X3) -> U83#(active X1, X2, X3))
(active# U23 X -> active# X, active# U83(tt(), M, N) -> isNatKind# N)
(active# U23 X -> active# X, active# U83(tt(), M, N) -> U84#(isNatKind N, M, N))
(active# U23 X -> active# X, active# U84(X1, X2, X3) -> active# X1)
(active# U23 X -> active# X, active# U84(X1, X2, X3) -> U84#(active X1, X2, X3))
(active# U23 X -> active# X, active# U84(tt(), M, N) -> plus#(N, M))
(active# U23 X -> active# X, active# U84(tt(), M, N) -> s# plus(N, M))
(active# U23 X -> active# X, active# s X -> active# X)
(active# U23 X -> active# X, active# s X -> s# active X)
(active# U23 X -> active# X, active# U92 X -> active# X)
(active# U23 X -> active# X, active# U92 X -> U92# active X)
(active# U23 X -> active# X, active# U91(X1, X2) -> active# X1)
(active# U23 X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2))
(active# U23 X -> active# X, active# U91(tt(), N) -> isNatKind# N)
(active# U23 X -> active# X, active# U91(tt(), N) -> U92# isNatKind N)
(isNatKind# ok X -> isNatKind# X, isNatKind# ok X -> isNatKind# X)
}
STATUS:
arrows: 0.865632
SCCS (40):
Scc:
{top# mark X -> top# proper X,
top# ok X -> top# active X}
Scc:
{proper# U102(X1, X2, X3) -> proper# X1,
proper# U102(X1, X2, X3) -> proper# X2,
proper# U102(X1, X2, X3) -> proper# X3,
proper# isNatKind X -> proper# X,
proper# U101(X1, X2, X3) -> proper# X1,
proper# U101(X1, X2, X3) -> proper# X2,
proper# U101(X1, X2, X3) -> proper# X3,
proper# U103(X1, X2, X3) -> proper# X1,
proper# U103(X1, X2, X3) -> proper# X2,
proper# U103(X1, X2, X3) -> proper# X3,
proper# isNat X -> proper# X,
proper# U104(X1, X2, X3) -> proper# X1,
proper# U104(X1, X2, X3) -> proper# X2,
proper# U104(X1, X2, X3) -> proper# X3,
proper# plus(X1, X2) -> proper# X1,
proper# plus(X1, X2) -> proper# X2,
proper# x(X1, X2) -> proper# X1,
proper# x(X1, X2) -> proper# X2,
proper# U12(X1, X2, X3) -> proper# X1,
proper# U12(X1, X2, X3) -> proper# X2,
proper# U12(X1, X2, X3) -> proper# X3,
proper# U11(X1, X2, X3) -> proper# X1,
proper# U11(X1, X2, X3) -> proper# X2,
proper# U11(X1, X2, X3) -> proper# X3,
proper# U13(X1, X2, X3) -> proper# X1,
proper# U13(X1, X2, X3) -> proper# X2,
proper# U13(X1, X2, X3) -> proper# X3,
proper# U14(X1, X2, X3) -> proper# X1,
proper# U14(X1, X2, X3) -> proper# X2,
proper# U14(X1, X2, X3) -> proper# X3,
proper# U15(X1, X2) -> proper# X1,
proper# U15(X1, X2) -> proper# X2,
proper# U16 X -> proper# X,
proper# U22(X1, X2) -> proper# X1,
proper# U22(X1, X2) -> proper# X2,
proper# U21(X1, X2) -> proper# X1,
proper# U21(X1, X2) -> proper# X2,
proper# U23 X -> proper# X,
proper# U32(X1, X2, X3) -> proper# X1,
proper# U32(X1, X2, X3) -> proper# X2,
proper# U32(X1, X2, X3) -> proper# X3,
proper# U31(X1, X2, X3) -> proper# X1,
proper# U31(X1, X2, X3) -> proper# X2,
proper# U31(X1, X2, X3) -> proper# X3,
proper# U33(X1, X2, X3) -> proper# X1,
proper# U33(X1, X2, X3) -> proper# X2,
proper# U33(X1, X2, X3) -> proper# X3,
proper# U34(X1, X2, X3) -> proper# X1,
proper# U34(X1, X2, X3) -> proper# X2,
proper# U34(X1, X2, X3) -> proper# X3,
proper# U35(X1, X2) -> proper# X1,
proper# U35(X1, X2) -> proper# X2,
proper# U36 X -> proper# X,
proper# U42 X -> proper# X,
proper# U41(X1, X2) -> proper# X1,
proper# U41(X1, X2) -> proper# X2,
proper# U51 X -> proper# X,
proper# U62 X -> proper# X,
proper# U61(X1, X2) -> proper# X1,
proper# U61(X1, X2) -> proper# X2,
proper# U72(X1, X2) -> proper# X1,
proper# U72(X1, X2) -> proper# X2,
proper# U71(X1, X2) -> proper# X1,
proper# U71(X1, X2) -> proper# X2,
proper# U82(X1, X2, X3) -> proper# X1,
proper# U82(X1, X2, X3) -> proper# X2,
proper# U82(X1, X2, X3) -> proper# X3,
proper# U81(X1, X2, X3) -> proper# X1,
proper# U81(X1, X2, X3) -> proper# X2,
proper# U81(X1, X2, X3) -> proper# X3,
proper# U83(X1, X2, X3) -> proper# X1,
proper# U83(X1, X2, X3) -> proper# X2,
proper# U83(X1, X2, X3) -> proper# X3,
proper# U84(X1, X2, X3) -> proper# X1,
proper# U84(X1, X2, X3) -> proper# X2,
proper# U84(X1, X2, X3) -> proper# X3,
proper# s X -> proper# X,
proper# U92 X -> proper# X,
proper# U91(X1, X2) -> proper# X1,
proper# U91(X1, X2) -> proper# X2}
Scc:
{active# U102(X1, X2, X3) -> active# X1,
active# U101(X1, X2, X3) -> active# X1,
active# U103(X1, X2, X3) -> active# X1,
active# U104(X1, X2, X3) -> active# X1,
active# plus(X1, X2) -> active# X1,
active# plus(X1, X2) -> active# X2,
active# x(X1, X2) -> active# X1,
active# x(X1, X2) -> active# X2,
active# U12(X1, X2, X3) -> active# X1,
active# U11(X1, X2, X3) -> active# X1,
active# U13(X1, X2, X3) -> active# X1,
active# U14(X1, X2, X3) -> active# X1,
active# U15(X1, X2) -> active# X1,
active# U16 X -> active# X,
active# U22(X1, X2) -> active# X1,
active# U21(X1, X2) -> active# X1,
active# U23 X -> active# X,
active# U32(X1, X2, X3) -> active# X1,
active# U31(X1, X2, X3) -> active# X1,
active# U33(X1, X2, X3) -> active# X1,
active# U34(X1, X2, X3) -> active# X1,
active# U35(X1, X2) -> active# X1,
active# U36 X -> active# X,
active# U42 X -> active# X,
active# U41(X1, X2) -> active# X1,
active# U51 X -> active# X,
active# U62 X -> active# X,
active# U61(X1, X2) -> active# X1,
active# U72(X1, X2) -> active# X1,
active# U71(X1, X2) -> active# X1,
active# U82(X1, X2, X3) -> active# X1,
active# U81(X1, X2, X3) -> active# X1,
active# U83(X1, X2, X3) -> active# X1,
active# U84(X1, X2, X3) -> active# X1,
active# s X -> active# X,
active# U92 X -> active# X,
active# U91(X1, X2) -> active# X1}
Scc:
{U92# mark X -> U92# X,
U92# ok X -> U92# X}
Scc:
{s# mark X -> s# X,
s# ok X -> s# X}
Scc:
{ U84#(mark X1, X2, X3) -> U84#(X1, X2, X3),
U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3)}
Scc:
{ U83#(mark X1, X2, X3) -> U83#(X1, X2, X3),
U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3)}
Scc:
{ U82#(mark X1, X2, X3) -> U82#(X1, X2, X3),
U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)}
Scc:
{ U72#(mark X1, X2) -> U72#(X1, X2),
U72#(ok X1, ok X2) -> U72#(X1, X2)}
Scc:
{U62# mark X -> U62# X,
U62# ok X -> U62# X}
Scc:
{U42# mark X -> U42# X,
U42# ok X -> U42# X}
Scc:
{U36# mark X -> U36# X,
U36# ok X -> U36# X}
Scc:
{ U35#(mark X1, X2) -> U35#(X1, X2),
U35#(ok X1, ok X2) -> U35#(X1, X2)}
Scc:
{ U34#(mark X1, X2, X3) -> U34#(X1, X2, X3),
U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3)}
Scc:
{ U33#(mark X1, X2, X3) -> U33#(X1, X2, X3),
U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3)}
Scc:
{ U32#(mark X1, X2, X3) -> U32#(X1, X2, X3),
U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3)}
Scc:
{U23# mark X -> U23# X,
U23# ok X -> U23# X}
Scc:
{ U22#(mark X1, X2) -> U22#(X1, X2),
U22#(ok X1, ok X2) -> U22#(X1, X2)}
Scc:
{U16# mark X -> U16# X,
U16# ok X -> U16# X}
Scc:
{ U15#(mark X1, X2) -> U15#(X1, X2),
U15#(ok X1, ok X2) -> U15#(X1, X2)}
Scc:
{ U14#(mark X1, X2, X3) -> U14#(X1, X2, X3),
U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3)}
Scc:
{ U13#(mark X1, X2, X3) -> U13#(X1, X2, X3),
U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3)}
Scc:
{ U12#(mark X1, X2, X3) -> U12#(X1, X2, X3),
U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)}
Scc:
{ U91#(mark X1, X2) -> U91#(X1, X2),
U91#(ok X1, ok X2) -> U91#(X1, X2)}
Scc:
{ U71#(mark X1, X2) -> U71#(X1, X2),
U71#(ok X1, ok X2) -> U71#(X1, X2)}
Scc:
{ U81#(mark X1, X2, X3) -> U81#(X1, X2, X3),
U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)}
Scc:
{ x#(X1, mark X2) -> x#(X1, X2),
x#(mark X1, X2) -> x#(X1, X2),
x#(ok X1, ok X2) -> x#(X1, X2)}
Scc:
{ plus#(X1, mark X2) -> plus#(X1, X2),
plus#(mark X1, X2) -> plus#(X1, X2),
plus#(ok X1, ok X2) -> plus#(X1, X2)}
Scc:
{ U21#(mark X1, X2) -> U21#(X1, X2),
U21#(ok X1, ok X2) -> U21#(X1, X2)}
Scc:
{ U31#(mark X1, X2, X3) -> U31#(X1, X2, X3),
U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)}
Scc:
{ U11#(mark X1, X2, X3) -> U11#(X1, X2, X3),
U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)}
Scc:
{ U104#(mark X1, X2, X3) -> U104#(X1, X2, X3),
U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3)}
Scc:
{ U101#(mark X1, X2, X3) -> U101#(X1, X2, X3),
U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)}
Scc:
{U51# mark X -> U51# X,
U51# ok X -> U51# X}
Scc:
{ U61#(mark X1, X2) -> U61#(X1, X2),
U61#(ok X1, ok X2) -> U61#(X1, X2)}
Scc:
{ U41#(mark X1, X2) -> U41#(X1, X2),
U41#(ok X1, ok X2) -> U41#(X1, X2)}
Scc:
{isNat# ok X -> isNat# X}
Scc:
{ U103#(mark X1, X2, X3) -> U103#(X1, X2, X3),
U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3)}
Scc:
{ U102#(mark X1, X2, X3) -> U102#(X1, X2, X3),
U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3)}
Scc:
{isNatKind# ok X -> isNatKind# X}
SCC (2):
Strict:
{top# mark X -> top# proper X,
top# ok X -> top# active X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (80):
Strict:
{proper# U102(X1, X2, X3) -> proper# X1,
proper# U102(X1, X2, X3) -> proper# X2,
proper# U102(X1, X2, X3) -> proper# X3,
proper# isNatKind X -> proper# X,
proper# U101(X1, X2, X3) -> proper# X1,
proper# U101(X1, X2, X3) -> proper# X2,
proper# U101(X1, X2, X3) -> proper# X3,
proper# U103(X1, X2, X3) -> proper# X1,
proper# U103(X1, X2, X3) -> proper# X2,
proper# U103(X1, X2, X3) -> proper# X3,
proper# isNat X -> proper# X,
proper# U104(X1, X2, X3) -> proper# X1,
proper# U104(X1, X2, X3) -> proper# X2,
proper# U104(X1, X2, X3) -> proper# X3,
proper# plus(X1, X2) -> proper# X1,
proper# plus(X1, X2) -> proper# X2,
proper# x(X1, X2) -> proper# X1,
proper# x(X1, X2) -> proper# X2,
proper# U12(X1, X2, X3) -> proper# X1,
proper# U12(X1, X2, X3) -> proper# X2,
proper# U12(X1, X2, X3) -> proper# X3,
proper# U11(X1, X2, X3) -> proper# X1,
proper# U11(X1, X2, X3) -> proper# X2,
proper# U11(X1, X2, X3) -> proper# X3,
proper# U13(X1, X2, X3) -> proper# X1,
proper# U13(X1, X2, X3) -> proper# X2,
proper# U13(X1, X2, X3) -> proper# X3,
proper# U14(X1, X2, X3) -> proper# X1,
proper# U14(X1, X2, X3) -> proper# X2,
proper# U14(X1, X2, X3) -> proper# X3,
proper# U15(X1, X2) -> proper# X1,
proper# U15(X1, X2) -> proper# X2,
proper# U16 X -> proper# X,
proper# U22(X1, X2) -> proper# X1,
proper# U22(X1, X2) -> proper# X2,
proper# U21(X1, X2) -> proper# X1,
proper# U21(X1, X2) -> proper# X2,
proper# U23 X -> proper# X,
proper# U32(X1, X2, X3) -> proper# X1,
proper# U32(X1, X2, X3) -> proper# X2,
proper# U32(X1, X2, X3) -> proper# X3,
proper# U31(X1, X2, X3) -> proper# X1,
proper# U31(X1, X2, X3) -> proper# X2,
proper# U31(X1, X2, X3) -> proper# X3,
proper# U33(X1, X2, X3) -> proper# X1,
proper# U33(X1, X2, X3) -> proper# X2,
proper# U33(X1, X2, X3) -> proper# X3,
proper# U34(X1, X2, X3) -> proper# X1,
proper# U34(X1, X2, X3) -> proper# X2,
proper# U34(X1, X2, X3) -> proper# X3,
proper# U35(X1, X2) -> proper# X1,
proper# U35(X1, X2) -> proper# X2,
proper# U36 X -> proper# X,
proper# U42 X -> proper# X,
proper# U41(X1, X2) -> proper# X1,
proper# U41(X1, X2) -> proper# X2,
proper# U51 X -> proper# X,
proper# U62 X -> proper# X,
proper# U61(X1, X2) -> proper# X1,
proper# U61(X1, X2) -> proper# X2,
proper# U72(X1, X2) -> proper# X1,
proper# U72(X1, X2) -> proper# X2,
proper# U71(X1, X2) -> proper# X1,
proper# U71(X1, X2) -> proper# X2,
proper# U82(X1, X2, X3) -> proper# X1,
proper# U82(X1, X2, X3) -> proper# X2,
proper# U82(X1, X2, X3) -> proper# X3,
proper# U81(X1, X2, X3) -> proper# X1,
proper# U81(X1, X2, X3) -> proper# X2,
proper# U81(X1, X2, X3) -> proper# X3,
proper# U83(X1, X2, X3) -> proper# X1,
proper# U83(X1, X2, X3) -> proper# X2,
proper# U83(X1, X2, X3) -> proper# X3,
proper# U84(X1, X2, X3) -> proper# X1,
proper# U84(X1, X2, X3) -> proper# X2,
proper# U84(X1, X2, X3) -> proper# X3,
proper# s X -> proper# X,
proper# U92 X -> proper# X,
proper# U91(X1, X2) -> proper# X1,
proper# U91(X1, X2) -> proper# X2}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (37):
Strict:
{active# U102(X1, X2, X3) -> active# X1,
active# U101(X1, X2, X3) -> active# X1,
active# U103(X1, X2, X3) -> active# X1,
active# U104(X1, X2, X3) -> active# X1,
active# plus(X1, X2) -> active# X1,
active# plus(X1, X2) -> active# X2,
active# x(X1, X2) -> active# X1,
active# x(X1, X2) -> active# X2,
active# U12(X1, X2, X3) -> active# X1,
active# U11(X1, X2, X3) -> active# X1,
active# U13(X1, X2, X3) -> active# X1,
active# U14(X1, X2, X3) -> active# X1,
active# U15(X1, X2) -> active# X1,
active# U16 X -> active# X,
active# U22(X1, X2) -> active# X1,
active# U21(X1, X2) -> active# X1,
active# U23 X -> active# X,
active# U32(X1, X2, X3) -> active# X1,
active# U31(X1, X2, X3) -> active# X1,
active# U33(X1, X2, X3) -> active# X1,
active# U34(X1, X2, X3) -> active# X1,
active# U35(X1, X2) -> active# X1,
active# U36 X -> active# X,
active# U42 X -> active# X,
active# U41(X1, X2) -> active# X1,
active# U51 X -> active# X,
active# U62 X -> active# X,
active# U61(X1, X2) -> active# X1,
active# U72(X1, X2) -> active# X1,
active# U71(X1, X2) -> active# X1,
active# U82(X1, X2, X3) -> active# X1,
active# U81(X1, X2, X3) -> active# X1,
active# U83(X1, X2, X3) -> active# X1,
active# U84(X1, X2, X3) -> active# X1,
active# s X -> active# X,
active# U92 X -> active# X,
active# U91(X1, X2) -> active# X1}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{U92# mark X -> U92# X,
U92# ok X -> U92# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{s# mark X -> s# X,
s# ok X -> s# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U84#(mark X1, X2, X3) -> U84#(X1, X2, X3),
U84#(ok X1, ok X2, ok X3) -> U84#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U83#(mark X1, X2, X3) -> U83#(X1, X2, X3),
U83#(ok X1, ok X2, ok X3) -> U83#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U82#(mark X1, X2, X3) -> U82#(X1, X2, X3),
U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U72#(mark X1, X2) -> U72#(X1, X2),
U72#(ok X1, ok X2) -> U72#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{U62# mark X -> U62# X,
U62# ok X -> U62# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{U42# mark X -> U42# X,
U42# ok X -> U42# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{U36# mark X -> U36# X,
U36# ok X -> U36# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U35#(mark X1, X2) -> U35#(X1, X2),
U35#(ok X1, ok X2) -> U35#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U34#(mark X1, X2, X3) -> U34#(X1, X2, X3),
U34#(ok X1, ok X2, ok X3) -> U34#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U33#(mark X1, X2, X3) -> U33#(X1, X2, X3),
U33#(ok X1, ok X2, ok X3) -> U33#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U32#(mark X1, X2, X3) -> U32#(X1, X2, X3),
U32#(ok X1, ok X2, ok X3) -> U32#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{U23# mark X -> U23# X,
U23# ok X -> U23# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U22#(mark X1, X2) -> U22#(X1, X2),
U22#(ok X1, ok X2) -> U22#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{U16# mark X -> U16# X,
U16# ok X -> U16# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U15#(mark X1, X2) -> U15#(X1, X2),
U15#(ok X1, ok X2) -> U15#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U14#(mark X1, X2, X3) -> U14#(X1, X2, X3),
U14#(ok X1, ok X2, ok X3) -> U14#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U13#(mark X1, X2, X3) -> U13#(X1, X2, X3),
U13#(ok X1, ok X2, ok X3) -> U13#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U12#(mark X1, X2, X3) -> U12#(X1, X2, X3),
U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U91#(mark X1, X2) -> U91#(X1, X2),
U91#(ok X1, ok X2) -> U91#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U71#(mark X1, X2) -> U71#(X1, X2),
U71#(ok X1, ok X2) -> U71#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U81#(mark X1, X2, X3) -> U81#(X1, X2, X3),
U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (3):
Strict:
{ x#(X1, mark X2) -> x#(X1, X2),
x#(mark X1, X2) -> x#(X1, X2),
x#(ok X1, ok X2) -> x#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (3):
Strict:
{ plus#(X1, mark X2) -> plus#(X1, X2),
plus#(mark X1, X2) -> plus#(X1, X2),
plus#(ok X1, ok X2) -> plus#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U21#(mark X1, X2) -> U21#(X1, X2),
U21#(ok X1, ok X2) -> U21#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U31#(mark X1, X2, X3) -> U31#(X1, X2, X3),
U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U11#(mark X1, X2, X3) -> U11#(X1, X2, X3),
U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U104#(mark X1, X2, X3) -> U104#(X1, X2, X3),
U104#(ok X1, ok X2, ok X3) -> U104#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U101#(mark X1, X2, X3) -> U101#(X1, X2, X3),
U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{U51# mark X -> U51# X,
U51# ok X -> U51# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U61#(mark X1, X2) -> U61#(X1, X2),
U61#(ok X1, ok X2) -> U61#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U41#(mark X1, X2) -> U41#(X1, X2),
U41#(ok X1, ok X2) -> U41#(X1, X2)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (1):
Strict:
{isNat# ok X -> isNat# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U103#(mark X1, X2, X3) -> U103#(X1, X2, X3),
U103#(ok X1, ok X2, ok X3) -> U103#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (2):
Strict:
{ U102#(mark X1, X2, X3) -> U102#(X1, X2, X3),
U102#(ok X1, ok X2, ok X3) -> U102#(X1, X2, X3)}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open
SCC (1):
Strict:
{isNatKind# ok X -> isNatKind# X}
Weak:
{
U102(mark X1, X2, X3) -> mark U102(X1, X2, X3),
U102(ok X1, ok X2, ok X3) -> ok U102(X1, X2, X3),
isNatKind ok X -> ok isNatKind X,
active U102(X1, X2, X3) -> U102(active X1, X2, X3),
active U102(tt(), M, N) -> mark U103(isNat N, M, N),
active isNatKind plus(V1, V2) -> mark U41(isNatKind V1, V2),
active isNatKind x(V1, V2) -> mark U61(isNatKind V1, V2),
active isNatKind s V1 -> mark U51 isNatKind V1,
active isNatKind 0() -> mark tt(),
active U101(X1, X2, X3) -> U101(active X1, X2, X3),
active U101(tt(), M, N) -> mark U102(isNatKind M, M, N),
active U103(X1, X2, X3) -> U103(active X1, X2, X3),
active U103(tt(), M, N) -> mark U104(isNatKind N, M, N),
active isNat plus(V1, V2) -> mark U11(isNatKind V1, V1, V2),
active isNat x(V1, V2) -> mark U31(isNatKind V1, V1, V2),
active isNat s V1 -> mark U21(isNatKind V1, V1),
active isNat 0() -> mark tt(),
active U104(X1, X2, X3) -> U104(active X1, X2, X3),
active U104(tt(), M, N) -> mark plus(x(N, M), N),
active plus(N, s M) -> mark U81(isNat M, M, N),
active plus(N, 0()) -> mark U71(isNat N, N),
active plus(X1, X2) -> plus(X1, active X2),
active plus(X1, X2) -> plus(active X1, X2),
active x(N, s M) -> mark U101(isNat M, M, N),
active x(N, 0()) -> mark U91(isNat N, N),
active x(X1, X2) -> x(X1, active X2),
active x(X1, X2) -> x(active X1, X2),
active U12(X1, X2, X3) -> U12(active X1, X2, X3),
active U12(tt(), V1, V2) -> mark U13(isNatKind V2, V1, V2),
active U11(X1, X2, X3) -> U11(active X1, X2, X3),
active U11(tt(), V1, V2) -> mark U12(isNatKind V1, V1, V2),
active U13(X1, X2, X3) -> U13(active X1, X2, X3),
active U13(tt(), V1, V2) -> mark U14(isNatKind V2, V1, V2),
active U14(X1, X2, X3) -> U14(active X1, X2, X3),
active U14(tt(), V1, V2) -> mark U15(isNat V1, V2),
active U15(X1, X2) -> U15(active X1, X2),
active U15(tt(), V2) -> mark U16 isNat V2,
active U16 X -> U16 active X,
active U16 tt() -> mark tt(),
active U22(X1, X2) -> U22(active X1, X2),
active U22(tt(), V1) -> mark U23 isNat V1,
active U21(X1, X2) -> U21(active X1, X2),
active U21(tt(), V1) -> mark U22(isNatKind V1, V1),
active U23 X -> U23 active X,
active U23 tt() -> mark tt(),
active U32(X1, X2, X3) -> U32(active X1, X2, X3),
active U32(tt(), V1, V2) -> mark U33(isNatKind V2, V1, V2),
active U31(X1, X2, X3) -> U31(active X1, X2, X3),
active U31(tt(), V1, V2) -> mark U32(isNatKind V1, V1, V2),
active U33(X1, X2, X3) -> U33(active X1, X2, X3),
active U33(tt(), V1, V2) -> mark U34(isNatKind V2, V1, V2),
active U34(X1, X2, X3) -> U34(active X1, X2, X3),
active U34(tt(), V1, V2) -> mark U35(isNat V1, V2),
active U35(X1, X2) -> U35(active X1, X2),
active U35(tt(), V2) -> mark U36 isNat V2,
active U36 X -> U36 active X,
active U36 tt() -> mark tt(),
active U42 X -> U42 active X,
active U42 tt() -> mark tt(),
active U41(X1, X2) -> U41(active X1, X2),
active U41(tt(), V2) -> mark U42 isNatKind V2,
active U51 X -> U51 active X,
active U51 tt() -> mark tt(),
active U62 X -> U62 active X,
active U62 tt() -> mark tt(),
active U61(X1, X2) -> U61(active X1, X2),
active U61(tt(), V2) -> mark U62 isNatKind V2,
active U72(X1, X2) -> U72(active X1, X2),
active U72(tt(), N) -> mark N,
active U71(X1, X2) -> U71(active X1, X2),
active U71(tt(), N) -> mark U72(isNatKind N, N),
active U82(X1, X2, X3) -> U82(active X1, X2, X3),
active U82(tt(), M, N) -> mark U83(isNat N, M, N),
active U81(X1, X2, X3) -> U81(active X1, X2, X3),
active U81(tt(), M, N) -> mark U82(isNatKind M, M, N),
active U83(X1, X2, X3) -> U83(active X1, X2, X3),
active U83(tt(), M, N) -> mark U84(isNatKind N, M, N),
active U84(X1, X2, X3) -> U84(active X1, X2, X3),
active U84(tt(), M, N) -> mark s plus(N, M),
active s X -> s active X,
active U92 X -> U92 active X,
active U92 tt() -> mark 0(),
active U91(X1, X2) -> U91(active X1, X2),
active U91(tt(), N) -> mark U92 isNatKind N,
U101(mark X1, X2, X3) -> mark U101(X1, X2, X3),
U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3),
U103(mark X1, X2, X3) -> mark U103(X1, X2, X3),
U103(ok X1, ok X2, ok X3) -> ok U103(X1, X2, X3),
isNat ok X -> ok isNat X,
U104(mark X1, X2, X3) -> mark U104(X1, X2, X3),
U104(ok X1, ok X2, ok X3) -> ok U104(X1, X2, X3),
plus(X1, mark X2) -> mark plus(X1, X2),
plus(mark X1, X2) -> mark plus(X1, X2),
plus(ok X1, ok X2) -> ok plus(X1, X2),
x(X1, mark X2) -> mark x(X1, X2),
x(mark X1, X2) -> mark x(X1, X2),
x(ok X1, ok X2) -> ok x(X1, X2),
U12(mark X1, X2, X3) -> mark U12(X1, X2, X3),
U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3),
U11(mark X1, X2, X3) -> mark U11(X1, X2, X3),
U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3),
U13(mark X1, X2, X3) -> mark U13(X1, X2, X3),
U13(ok X1, ok X2, ok X3) -> ok U13(X1, X2, X3),
U14(mark X1, X2, X3) -> mark U14(X1, X2, X3),
U14(ok X1, ok X2, ok X3) -> ok U14(X1, X2, X3),
U15(mark X1, X2) -> mark U15(X1, X2),
U15(ok X1, ok X2) -> ok U15(X1, X2),
U16 mark X -> mark U16 X,
U16 ok X -> ok U16 X,
U22(mark X1, X2) -> mark U22(X1, X2),
U22(ok X1, ok X2) -> ok U22(X1, X2),
U21(mark X1, X2) -> mark U21(X1, X2),
U21(ok X1, ok X2) -> ok U21(X1, X2),
U23 mark X -> mark U23 X,
U23 ok X -> ok U23 X,
U32(mark X1, X2, X3) -> mark U32(X1, X2, X3),
U32(ok X1, ok X2, ok X3) -> ok U32(X1, X2, X3),
U31(mark X1, X2, X3) -> mark U31(X1, X2, X3),
U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3),
U33(mark X1, X2, X3) -> mark U33(X1, X2, X3),
U33(ok X1, ok X2, ok X3) -> ok U33(X1, X2, X3),
U34(mark X1, X2, X3) -> mark U34(X1, X2, X3),
U34(ok X1, ok X2, ok X3) -> ok U34(X1, X2, X3),
U35(mark X1, X2) -> mark U35(X1, X2),
U35(ok X1, ok X2) -> ok U35(X1, X2),
U36 mark X -> mark U36 X,
U36 ok X -> ok U36 X,
U42 mark X -> mark U42 X,
U42 ok X -> ok U42 X,
U41(mark X1, X2) -> mark U41(X1, X2),
U41(ok X1, ok X2) -> ok U41(X1, X2),
U51 mark X -> mark U51 X,
U51 ok X -> ok U51 X,
U62 mark X -> mark U62 X,
U62 ok X -> ok U62 X,
U61(mark X1, X2) -> mark U61(X1, X2),
U61(ok X1, ok X2) -> ok U61(X1, X2),
U72(mark X1, X2) -> mark U72(X1, X2),
U72(ok X1, ok X2) -> ok U72(X1, X2),
U71(mark X1, X2) -> mark U71(X1, X2),
U71(ok X1, ok X2) -> ok U71(X1, X2),
U82(mark X1, X2, X3) -> mark U82(X1, X2, X3),
U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3),
U81(mark X1, X2, X3) -> mark U81(X1, X2, X3),
U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3),
U83(mark X1, X2, X3) -> mark U83(X1, X2, X3),
U83(ok X1, ok X2, ok X3) -> ok U83(X1, X2, X3),
U84(mark X1, X2, X3) -> mark U84(X1, X2, X3),
U84(ok X1, ok X2, ok X3) -> ok U84(X1, X2, X3),
s mark X -> mark s X,
s ok X -> ok s X,
U92 mark X -> mark U92 X,
U92 ok X -> ok U92 X,
U91(mark X1, X2) -> mark U91(X1, X2),
U91(ok X1, ok X2) -> ok U91(X1, X2),
proper U102(X1, X2, X3) -> U102(proper X1, proper X2, proper X3),
proper isNatKind X -> isNatKind proper X,
proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3),
proper tt() -> ok tt(),
proper U103(X1, X2, X3) -> U103(proper X1, proper X2, proper X3),
proper isNat X -> isNat proper X,
proper U104(X1, X2, X3) -> U104(proper X1, proper X2, proper X3),
proper plus(X1, X2) -> plus(proper X1, proper X2),
proper x(X1, X2) -> x(proper X1, proper X2),
proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3),
proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3),
proper U13(X1, X2, X3) -> U13(proper X1, proper X2, proper X3),
proper U14(X1, X2, X3) -> U14(proper X1, proper X2, proper X3),
proper U15(X1, X2) -> U15(proper X1, proper X2),
proper U16 X -> U16 proper X,
proper U22(X1, X2) -> U22(proper X1, proper X2),
proper U21(X1, X2) -> U21(proper X1, proper X2),
proper U23 X -> U23 proper X,
proper U32(X1, X2, X3) -> U32(proper X1, proper X2, proper X3),
proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3),
proper U33(X1, X2, X3) -> U33(proper X1, proper X2, proper X3),
proper U34(X1, X2, X3) -> U34(proper X1, proper X2, proper X3),
proper U35(X1, X2) -> U35(proper X1, proper X2),
proper U36 X -> U36 proper X,
proper U42 X -> U42 proper X,
proper U41(X1, X2) -> U41(proper X1, proper X2),
proper U51 X -> U51 proper X,
proper U62 X -> U62 proper X,
proper U61(X1, X2) -> U61(proper X1, proper X2),
proper U72(X1, X2) -> U72(proper X1, proper X2),
proper U71(X1, X2) -> U71(proper X1, proper X2),
proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3),
proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3),
proper U83(X1, X2, X3) -> U83(proper X1, proper X2, proper X3),
proper U84(X1, X2, X3) -> U84(proper X1, proper X2, proper X3),
proper s X -> s proper X,
proper U92 X -> U92 proper X,
proper U91(X1, X2) -> U91(proper X1, proper X2),
proper 0() -> ok 0(),
top mark X -> top proper X,
top ok X -> top active X
}
Open