MAYBE Time: 29.424531 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 } UR: { 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() } 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# 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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) 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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# 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)) 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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# 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(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# 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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) 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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, 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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# isNatKind plus(V1, V2) -> U41#(isNatKind V1, V2), U41#(mark X1, 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#(X1, mark X2) -> plus#(X1, X2)) (active# U14(tt(), V1, V2) -> U15#(isNat V1, V2), U15#(ok X1, ok X2) -> U15#(X1, X2)) (active# U14(tt(), V1, V2) -> U15#(isNat V1, V2), U15#(mark X1, 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# U35(tt(), V2) -> U36# isNat V2, U36# mark X -> U36# X) (active# U61(tt(), V2) -> U62# isNatKind V2, U62# ok X -> U62# X) (active# U61(tt(), V2) -> U62# isNatKind V2, U62# mark X -> U62# X) (active# U22(tt(), V1) -> U23# isNat V1, U23# ok X -> U23# X) (active# U22(tt(), V1) -> U23# isNat V1, U23# mark X -> U23# X) (active# isNat plus(V1, V2) -> U11#(isNatKind V1, V1, V2), U11#(mark X1, X2, 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# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2), U13#(mark X1, X2, 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# U13(tt(), V1, V2) -> U14#(isNatKind V2, V1, V2), U14#(mark X1, X2, 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# U31(tt(), V1, V2) -> U32#(isNatKind V1, V1, V2), U32#(mark X1, X2, 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# x(N, 0()) -> U91#(isNat N, N), U91#(mark X1, 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# U102(tt(), M, N) -> U103#(isNat N, M, N), U103#(mark X1, X2, 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# U103(tt(), M, N) -> U104#(isNatKind N, M, N), U104#(mark X1, X2, X3) -> U104#(X1, X2, X3)) (active# x(N, s M) -> U101#(isNat M, M, N), U101#(mark X1, X2, 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)) (active# U81(tt(), M, N) -> U82#(isNatKind M, M, N), U82#(mark X1, X2, 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, 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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# isNat s V1 -> U21#(isNatKind V1, V1), U21#(mark X1, 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# 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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# 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 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, 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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#(mark X1, X2, X3) -> U84#(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#(mark X1, X2, X3) -> U83#(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#(mark X1, X2, X3) -> U81#(X1, X2, X3)) (active# U101(tt(), M, N) -> U102#(isNatKind M, M, N), U102#(mark X1, X2, X3) -> U102#(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#(mark X1, X2) -> U72#(X1, X2)) (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#(mark X1, X2) -> U71#(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#(mark X1, X2, X3) -> U34#(X1, X2, X3)) (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#(mark X1, X2, X3) -> U33#(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#(mark X1, X2, X3) -> U12#(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#(mark X1, X2, X3) -> U31#(X1, X2, X3)) (active# U91(tt(), N) -> U92# isNatKind N, U92# mark X -> U92# X) (active# U91(tt(), N) -> U92# isNatKind N, U92# ok X -> U92# X) (active# isNatKind s V1 -> U51# isNatKind V1, U51# mark X -> U51# X) (active# isNatKind s V1 -> U51# isNatKind V1, U51# ok X -> U51# X) (active# U41(tt(), V2) -> U42# isNatKind V2, U42# mark X -> U42# X) (active# U41(tt(), V2) -> U42# isNatKind V2, U42# ok X -> U42# X) (active# U15(tt(), V2) -> U16# isNat V2, U16# mark X -> U16# 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#(mark X1, X2) -> U35#(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#(ok X1, ok X2) -> x#(X1, X2)) (active# isNatKind x(V1, V2) -> U61#(isNatKind V1, V2), U61#(mark X1, X2) -> U61#(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) -> 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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()) -> 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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, 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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#(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# 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-> 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) -> 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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)) (active# U23 X -> active# X, active# U104(X1, X2, X3) -> active# X1) (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)) (active# U23 X -> active# X, active# plus(N, 0()) -> isNat# N) (active# U23 X -> active# X, active# plus(N, 0()) -> U71#(isNat N, N)) (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)) (active# U23 X -> active# X, active# x(N, s M) -> isNat# M) (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) (active# U23 X -> active# X, active# U12(tt(), V1, V2) -> U13#(isNatKind V2, V1, V2)) (active# U23 X -> active# X, active# U11(X1, X2, X3) -> active# X1) (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) (active# U23 X -> active# X, active# U14(tt(), V1, V2) -> U15#(isNat V1, V2)) (active# U23 X -> active# X, active# U15(X1, X2) -> active# X1) (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: 0.865465 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