The rewrite relation of the following TRS is considered.
There are 123 ruless (increase limit for explicit display).
There are 128 ruless (increase limit for explicit display).
The dependency pairs are split into 4 components.
mark#(U84(X1,X2,X3)) | → | mark#(X1) | (196) |
mark#(U61(X)) | → | mark#(X) | (194) |
a__U93#(tt,L,N) | → | a__U94#(a__isNatKind(N),L) | (247) |
mark#(U33(X)) | → | mark#(X) | (246) |
mark#(U51(X1,X2)) | → | mark#(X1) | (189) |
mark#(U94(X1,X2)) | → | mark#(X1) | (186) |
mark#(U41(X1,X2,X3)) | → | mark#(X1) | (184) |
mark#(U22(X1,X2)) | → | mark#(X1) | (243) |
mark#(U46(X)) | → | mark#(X) | (242) |
mark#(U11(X1,X2)) | → | mark#(X1) | (174) |
mark#(U12(X1,X2)) | → | mark#(X1) | (238) |
mark#(s(X)) | → | mark#(X) | (237) |
mark#(U82(X1,X2,X3)) | → | mark#(X1) | (236) |
mark#(U43(X1,X2,X3)) | → | mark#(X1) | (170) |
a__U92#(tt,L,N) | → | a__U93#(a__isNat(N),L,N) | (171) |
mark#(U71(X)) | → | mark#(X) | (235) |
mark#(U91(X1,X2,X3)) | → | a__U91#(mark(X1),X2,X3) | (168) |
mark#(length(X)) | → | mark#(X) | (233) |
a__U91#(tt,L,N) | → | a__U92#(a__isNatIListKind(L),L,N) | (230) |
a__length#(cons(N,L)) | → | a__U91#(a__isNatList(L),L,N) | (165) |
mark#(U92(X1,X2,X3)) | → | a__U92#(mark(X1),X2,X3) | (227) |
mark#(U21(X1,X2)) | → | mark#(X1) | (225) |
mark#(length(X)) | → | a__length#(mark(X)) | (159) |
mark#(U94(X1,X2)) | → | a__U94#(mark(X1),X2) | (158) |
mark#(U52(X)) | → | mark#(X) | (221) |
mark#(cons(X1,X2)) | → | mark#(X1) | (155) |
mark#(U83(X1,X2,X3)) | → | mark#(X1) | (220) |
mark#(U81(X1,X2,X3)) | → | mark#(X1) | (219) |
mark#(U91(X1,X2,X3)) | → | mark#(X1) | (150) |
a__U94#(tt,L) | → | mark#(L) | (149) |
mark#(U85(X1,X2)) | → | mark#(X1) | (145) |
mark#(U93(X1,X2,X3)) | → | mark#(X1) | (216) |
a__U94#(tt,L) | → | a__length#(mark(L)) | (141) |
mark#(U42(X1,X2,X3)) | → | mark#(X1) | (209) |
mark#(U92(X1,X2,X3)) | → | mark#(X1) | (207) |
mark#(U86(X)) | → | mark#(X) | (205) |
mark#(U45(X1,X2)) | → | mark#(X1) | (206) |
mark#(U44(X1,X2,X3)) | → | mark#(X1) | (129) |
mark#(U23(X)) | → | mark#(X) | (130) |
mark#(U13(X)) | → | mark#(X) | (202) |
mark#(U32(X1,X2)) | → | mark#(X1) | (128) |
mark#(U31(X1,X2)) | → | mark#(X1) | (127) |
mark#(U93(X1,X2,X3)) | → | a__U93#(mark(X1),X2,X3) | (199) |
[a__U94#(x1, x2)] | = | x2 + 1 |
[a__U83(x1, x2, x3)] | = | x1 + 0 |
[a__isNatKind#(x1)] | = | 0 |
[isNatKind(x1)] | = | 1 |
[U21(x1, x2)] | = | x1 + 0 |
[a__U82#(x1, x2, x3)] | = | 0 |
[a__U45(x1, x2)] | = | x1 + x2 + 2 |
[isNatList(x1)] | = | 1 |
[a__U85(x1, x2)] | = | x1 + 0 |
[a__U71#(x1)] | = | 0 |
[U11(x1, x2)] | = | x1 + 0 |
[a__U92#(x1, x2, x3)] | = | x2 + 1 |
[s(x1)] | = | x1 + 0 |
[a__U31#(x1, x2)] | = | 0 |
[a__U33#(x1)] | = | 0 |
[a__U93#(x1, x2, x3)] | = | x2 + 1 |
[a__isNatIList(x1)] | = | x1 + 2 |
[a__U33(x1)] | = | x1 + 1 |
[a__U86#(x1)] | = | 0 |
[a__isNatIListKind#(x1)] | = | 0 |
[a__U23#(x1)] | = | 0 |
[U42(x1, x2, x3)] | = | x1 + x3 + 2 |
[U91(x1, x2, x3)] | = | x1 + x2 + x3 + 2 |
[a__isNat#(x1)] | = | 0 |
[a__U82(x1, x2, x3)] | = | x1 + 0 |
[U71(x1)] | = | x1 + 0 |
[a__U84(x1, x2, x3)] | = | x1 + 0 |
[a__U86(x1)] | = | x1 + 0 |
[a__U44(x1, x2, x3)] | = | x1 + x3 + 2 |
[isNatIList(x1)] | = | x1 + 2 |
[a__U43#(x1, x2, x3)] | = | 0 |
[U43(x1, x2, x3)] | = | x1 + x3 + 2 |
[a__U13#(x1)] | = | 0 |
[a__U44#(x1, x2, x3)] | = | 0 |
[U86(x1)] | = | x1 + 0 |
[U44(x1, x2, x3)] | = | x1 + x3 + 2 |
[a__U46#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + 0 |
[a__U51#(x1, x2)] | = | 0 |
[U23(x1)] | = | x1 + 0 |
[a__U22(x1, x2)] | = | x1 + 0 |
[U93(x1, x2, x3)] | = | x1 + x2 + 2 |
[a__U94(x1, x2)] | = | x1 + x2 + 2 |
[a__U11#(x1, x2)] | = | 0 |
[U94(x1, x2)] | = | x1 + x2 + 2 |
[zeros] | = | 38343 |
[a__U31(x1, x2)] | = | x1 + x2 + 1 |
[a__U51(x1, x2)] | = | x1 + 0 |
[a__U81(x1, x2, x3)] | = | x1 + 0 |
[U12(x1, x2)] | = | x1 + 0 |
[a__U84#(x1, x2, x3)] | = | 0 |
[a__isNatList(x1)] | = | 1 |
[a__U43(x1, x2, x3)] | = | x1 + x3 + 2 |
[a__U42#(x1, x2, x3)] | = | 0 |
[a__U41(x1, x2, x3)] | = | x1 + x2 + x3 + 2 |
[a__U12#(x1, x2)] | = | 0 |
[a__U21#(x1, x2)] | = | 0 |
[a__isNatIList#(x1)] | = | 0 |
[a__U81#(x1, x2, x3)] | = | 0 |
[a__U61#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + 0 |
[mark#(x1)] | = | x1 + 0 |
[0] | = | 0 |
[a__zeros#] | = | 0 |
[a__U21(x1, x2)] | = | x1 + 0 |
[a__U32(x1, x2)] | = | x1 + x2 + 1 |
[a__U91(x1, x2, x3)] | = | x1 + x2 + x3 + 2 |
[nil] | = | 10293 |
[isNatIListKind(x1)] | = | 1 |
[a__U52#(x1)] | = | 0 |
[U45(x1, x2)] | = | x1 + x2 + 2 |
[mark(x1)] | = | x1 + 1 |
[a__U11(x1, x2)] | = | x1 + 0 |
[U32(x1, x2)] | = | x1 + x2 + 1 |
[a__U42(x1, x2, x3)] | = | x1 + x3 + 2 |
[a__U93(x1, x2, x3)] | = | x1 + x2 + 2 |
[U33(x1)] | = | x1 + 1 |
[a__U45#(x1, x2)] | = | 0 |
[a__U52(x1)] | = | x1 + 0 |
[a__length#(x1)] | = | x1 + 0 |
[a__U12(x1, x2)] | = | x1 + 0 |
[a__isNatIListKind(x1)] | = | 1 |
[isNat(x1)] | = | 1 |
[U46(x1)] | = | x1 + 1 |
[U52(x1)] | = | x1 + 0 |
[U61(x1)] | = | x1 + 0 |
[a__U46(x1)] | = | x1 + 1 |
[a__U22#(x1, x2)] | = | 0 |
[a__U13(x1)] | = | x1 + 0 |
[a__U85#(x1, x2)] | = | 0 |
[U31(x1, x2)] | = | x1 + x2 + 1 |
[U85(x1, x2)] | = | x1 + 0 |
[a__U83#(x1, x2, x3)] | = | 0 |
[a__isNatList#(x1)] | = | 0 |
[a__U71(x1)] | = | x1 + 0 |
[U92(x1, x2, x3)] | = | x1 + x2 + 2 |
[cons(x1, x2)] | = | x1 + x2 + 1 |
[a__U92(x1, x2, x3)] | = | x1 + x2 + 2 |
[a__U61(x1)] | = | x1 + 0 |
[U81(x1, x2, x3)] | = | x1 + 0 |
[a__U41#(x1, x2, x3)] | = | 0 |
[U82(x1, x2, x3)] | = | x1 + 0 |
[tt] | = | 1 |
[a__isNat(x1)] | = | 1 |
[U13(x1)] | = | x1 + 0 |
[a__U23(x1)] | = | x1 + 0 |
[a__isNatKind(x1)] | = | 1 |
[U22(x1, x2)] | = | x1 + 0 |
[U51(x1, x2)] | = | x1 + 0 |
[length(x1)] | = | x1 + 2 |
[U41(x1, x2, x3)] | = | x1 + x2 + x3 + 2 |
[a__U32#(x1, x2)] | = | 0 |
[a__zeros] | = | 38344 |
[a__U91#(x1, x2, x3)] | = | x2 + 1 |
[a__length(x1)] | = | x1 + 2 |
There are 123 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(U33(X)) | → | mark#(X) | (246) |
mark#(U94(X1,X2)) | → | mark#(X1) | (186) |
mark#(U41(X1,X2,X3)) | → | mark#(X1) | (184) |
mark#(U46(X)) | → | mark#(X) | (242) |
mark#(U43(X1,X2,X3)) | → | mark#(X1) | (170) |
mark#(U91(X1,X2,X3)) | → | a__U91#(mark(X1),X2,X3) | (168) |
mark#(length(X)) | → | mark#(X) | (233) |
mark#(U92(X1,X2,X3)) | → | a__U92#(mark(X1),X2,X3) | (227) |
mark#(length(X)) | → | a__length#(mark(X)) | (159) |
mark#(U94(X1,X2)) | → | a__U94#(mark(X1),X2) | (158) |
mark#(cons(X1,X2)) | → | mark#(X1) | (155) |
mark#(U91(X1,X2,X3)) | → | mark#(X1) | (150) |
a__U94#(tt,L) | → | mark#(L) | (149) |
mark#(U93(X1,X2,X3)) | → | mark#(X1) | (216) |
mark#(U42(X1,X2,X3)) | → | mark#(X1) | (209) |
mark#(U92(X1,X2,X3)) | → | mark#(X1) | (207) |
mark#(U45(X1,X2)) | → | mark#(X1) | (206) |
mark#(U44(X1,X2,X3)) | → | mark#(X1) | (129) |
mark#(U32(X1,X2)) | → | mark#(X1) | (128) |
mark#(U31(X1,X2)) | → | mark#(X1) | (127) |
mark#(U93(X1,X2,X3)) | → | a__U93#(mark(X1),X2,X3) | (199) |
The dependency pairs are split into 2 components.
a__U91#(tt,L,N) | → | a__U92#(a__isNatIListKind(L),L,N) | (230) |
a__U92#(tt,L,N) | → | a__U93#(a__isNat(N),L,N) | (171) |
a__U94#(tt,L) | → | a__length#(mark(L)) | (141) |
a__length#(cons(N,L)) | → | a__U91#(a__isNatList(L),L,N) | (165) |
a__U93#(tt,L,N) | → | a__U94#(a__isNatKind(N),L) | (247) |
[a__U94#(x1, x2)] | = |
x1 +
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[a__U83(x1, x2, x3)] | = |
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[a__isNatKind#(x1)] | = |
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[isNatKind(x1)] | = |
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[U21(x1, x2)] | = |
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[a__U82#(x1, x2, x3)] | = |
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[a__U45(x1, x2)] | = |
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[isNatList(x1)] | = |
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[a__U85(x1, x2)] | = |
x1 +
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[a__U71#(x1)] | = |
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[U11(x1, x2)] | = |
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[a__U92#(x1, x2, x3)] | = |
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[s(x1)] | = |
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[a__U31#(x1, x2)] | = |
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[a__U33#(x1)] | = |
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[a__U93#(x1, x2, x3)] | = |
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[a__isNatIList(x1)] | = |
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[a__U33(x1)] | = |
x1 +
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[a__U86#(x1)] | = |
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[a__isNatIListKind#(x1)] | = |
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[a__U23#(x1)] | = |
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[U42(x1, x2, x3)] | = |
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[U91(x1, x2, x3)] | = |
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[a__isNat#(x1)] | = |
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[a__U82(x1, x2, x3)] | = |
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[U71(x1)] | = |
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[a__U84(x1, x2, x3)] | = |
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[a__U86(x1)] | = |
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[a__U44(x1, x2, x3)] | = |
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[isNatIList(x1)] | = |
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[a__U43#(x1, x2, x3)] | = |
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[U43(x1, x2, x3)] | = |
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[a__U13#(x1)] | = |
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[a__U44#(x1, x2, x3)] | = |
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[U86(x1)] | = |
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[U44(x1, x2, x3)] | = |
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[a__U46#(x1)] | = |
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[U84(x1, x2, x3)] | = |
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[a__U51#(x1, x2)] | = |
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[U23(x1)] | = |
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[a__U22(x1, x2)] | = |
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[U93(x1, x2, x3)] | = |
x1 +
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[a__U94(x1, x2)] | = |
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[a__U11#(x1, x2)] | = |
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[U94(x1, x2)] | = |
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[zeros] | = |
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[a__U31(x1, x2)] | = |
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[a__U51(x1, x2)] | = |
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[a__U81(x1, x2, x3)] | = |
|
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[U12(x1, x2)] | = |
x1 +
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[a__U84#(x1, x2, x3)] | = |
|
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[a__isNatList(x1)] | = |
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[a__U43(x1, x2, x3)] | = |
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[a__U42#(x1, x2, x3)] | = |
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[a__U41(x1, x2, x3)] | = |
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[a__U12#(x1, x2)] | = |
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[a__U21#(x1, x2)] | = |
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[a__isNatIList#(x1)] | = |
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[a__U81#(x1, x2, x3)] | = |
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[a__U61#(x1)] | = |
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[U83(x1, x2, x3)] | = |
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[mark#(x1)] | = |
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[0] | = |
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[a__zeros#] | = |
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[a__U21(x1, x2)] | = |
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[a__U32(x1, x2)] | = |
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[a__U91(x1, x2, x3)] | = |
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[nil] | = |
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[isNatIListKind(x1)] | = |
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[a__U52#(x1)] | = |
|
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[U45(x1, x2)] | = |
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[mark(x1)] | = |
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[a__U11(x1, x2)] | = |
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[U32(x1, x2)] | = |
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[a__U42(x1, x2, x3)] | = |
|
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[a__U93(x1, x2, x3)] | = |
x1 +
|
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[U33(x1)] | = |
x1 +
|
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[a__U45#(x1, x2)] | = |
|
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[a__U52(x1)] | = |
|
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[a__length#(x1)] | = |
|
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[a__U12(x1, x2)] | = |
x1 +
|
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[a__isNatIListKind(x1)] | = |
|
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[isNat(x1)] | = |
|
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[U46(x1)] | = |
|
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[U52(x1)] | = |
|
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[U61(x1)] | = |
|
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[a__U46(x1)] | = |
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[a__U22#(x1, x2)] | = |
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[a__U13(x1)] | = |
|
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[a__U85#(x1, x2)] | = |
|
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[U31(x1, x2)] | = |
|
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[U85(x1, x2)] | = |
x1 +
|
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[a__U83#(x1, x2, x3)] | = |
|
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[a__isNatList#(x1)] | = |
|
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[a__U71(x1)] | = |
|
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[U92(x1, x2, x3)] | = |
|
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[cons(x1, x2)] | = |
|
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[a__U92(x1, x2, x3)] | = |
|
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[a__U61(x1)] | = |
|
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[U81(x1, x2, x3)] | = |
|
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[a__U41#(x1, x2, x3)] | = |
|
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[U82(x1, x2, x3)] | = |
|
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[tt] | = |
|
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[a__isNat(x1)] | = |
|
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[U13(x1)] | = |
|
||||||||||||||||||||||||||
[a__U23(x1)] | = |
|
||||||||||||||||||||||||||
[a__isNatKind(x1)] | = |
|
||||||||||||||||||||||||||
[U22(x1, x2)] | = |
|
||||||||||||||||||||||||||
[U51(x1, x2)] | = |
|
||||||||||||||||||||||||||
[length(x1)] | = |
x1 +
|
||||||||||||||||||||||||||
[U41(x1, x2, x3)] | = |
|
||||||||||||||||||||||||||
[a__U32#(x1, x2)] | = |
|
||||||||||||||||||||||||||
[a__zeros] | = |
|
||||||||||||||||||||||||||
[a__U91#(x1, x2, x3)] | = |
|
||||||||||||||||||||||||||
[a__length(x1)] | = |
x1 +
|
There are 123 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsa__U91#(tt,L,N) | → | a__U92#(a__isNatIListKind(L),L,N) | (230) |
a__U92#(tt,L,N) | → | a__U93#(a__isNat(N),L,N) | (171) |
a__U94#(tt,L) | → | a__length#(mark(L)) | (141) |
a__length#(cons(N,L)) | → | a__U91#(a__isNatList(L),L,N) | (165) |
a__U93#(tt,L,N) | → | a__U94#(a__isNatKind(N),L) | (247) |
The dependency pairs are split into 0 components.
mark#(U22(X1,X2)) | → | mark#(X1) | (243) |
mark#(U86(X)) | → | mark#(X) | (205) |
mark#(U51(X1,X2)) | → | mark#(X1) | (189) |
mark#(U81(X1,X2,X3)) | → | mark#(X1) | (219) |
mark#(U12(X1,X2)) | → | mark#(X1) | (238) |
mark#(U23(X)) | → | mark#(X) | (130) |
mark#(U52(X)) | → | mark#(X) | (221) |
mark#(U61(X)) | → | mark#(X) | (194) |
mark#(U85(X1,X2)) | → | mark#(X1) | (145) |
mark#(U13(X)) | → | mark#(X) | (202) |
mark#(U83(X1,X2,X3)) | → | mark#(X1) | (220) |
mark#(U84(X1,X2,X3)) | → | mark#(X1) | (196) |
mark#(U11(X1,X2)) | → | mark#(X1) | (174) |
mark#(U71(X)) | → | mark#(X) | (235) |
mark#(U21(X1,X2)) | → | mark#(X1) | (225) |
mark#(U82(X1,X2,X3)) | → | mark#(X1) | (236) |
mark#(s(X)) | → | mark#(X) | (237) |
[a__U94#(x1, x2)] | = | 0 |
[a__U83(x1, x2, x3)] | = | x1 + 8 |
[a__isNatKind#(x1)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U21(x1, x2)] | = | x1 + 4 |
[a__U82#(x1, x2, x3)] | = | 0 |
[a__U45(x1, x2)] | = | x2 + 16 |
[isNatList(x1)] | = | x1 + 3 |
[a__U85(x1, x2)] | = | 16 |
[a__U71#(x1)] | = | 0 |
[U11(x1, x2)] | = | x1 + 4 |
[a__U92#(x1, x2, x3)] | = | 1 |
[s(x1)] | = | x1 + 5 |
[a__U31#(x1, x2)] | = | 0 |
[a__U33#(x1)] | = | 0 |
[a__U93#(x1, x2, x3)] | = | 0 |
[a__isNatIList(x1)] | = | 2 |
[a__U33(x1)] | = | 5 |
[a__U86#(x1)] | = | 0 |
[a__isNatIListKind#(x1)] | = | 0 |
[a__U23#(x1)] | = | 0 |
[U42(x1, x2, x3)] | = | x1 + 5 |
[U91(x1, x2, x3)] | = | x1 + x2 + 2140 |
[a__isNat#(x1)] | = | 0 |
[a__U82(x1, x2, x3)] | = | x2 + x3 + 10 |
[U71(x1)] | = | x1 + 2 |
[a__U84(x1, x2, x3)] | = | x2 + x3 + 15 |
[a__U86(x1)] | = | 17 |
[a__U44(x1, x2, x3)] | = | x1 + 9 |
[isNatIList(x1)] | = | x1 + 3 |
[a__U43#(x1, x2, x3)] | = | 0 |
[U43(x1, x2, x3)] | = | x2 + 12 |
[a__U13#(x1)] | = | 0 |
[a__U44#(x1, x2, x3)] | = | 0 |
[U86(x1)] | = | x1 + 18 |
[U44(x1, x2, x3)] | = | x3 + 10 |
[a__U46#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + 16 |
[a__U51#(x1, x2)] | = | 0 |
[U23(x1)] | = | x1 + 21 |
[a__U22(x1, x2)] | = | x1 + 13 |
[U93(x1, x2, x3)] | = | x1 + 2142 |
[a__U94(x1, x2)] | = | 2142 |
[a__U11#(x1, x2)] | = | 0 |
[U94(x1, x2)] | = | x2 + 2143 |
[zeros] | = | 3 |
[a__U31(x1, x2)] | = | x1 + 1 |
[a__U51(x1, x2)] | = | x2 + 4 |
[a__U81(x1, x2, x3)] | = | x1 + 3 |
[U12(x1, x2)] | = | x1 + 2 |
[a__U84#(x1, x2, x3)] | = | 0 |
[a__isNatList(x1)] | = | 2 |
[a__U43(x1, x2, x3)] | = | 11 |
[a__U42#(x1, x2, x3)] | = | 0 |
[a__U41(x1, x2, x3)] | = | 3 |
[a__U12#(x1, x2)] | = | 0 |
[a__U21#(x1, x2)] | = | 0 |
[a__isNatIList#(x1)] | = | 0 |
[a__U81#(x1, x2, x3)] | = | 0 |
[a__U61#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + 9 |
[mark#(x1)] | = | x1 + 0 |
[0] | = | 2139 |
[a__zeros#] | = | 0 |
[a__U21(x1, x2)] | = | x1 + x2 + 3 |
[a__U32(x1, x2)] | = | x1 + 5 |
[a__U91(x1, x2, x3)] | = | x3 + 2139 |
[nil] | = | 0 |
[isNatIListKind(x1)] | = | x1 + 4 |
[a__U52#(x1)] | = | 0 |
[U45(x1, x2)] | = | 17 |
[mark(x1)] | = | 1 |
[a__U11(x1, x2)] | = | 3 |
[U32(x1, x2)] | = | x2 + 6 |
[a__U42(x1, x2, x3)] | = | x1 + x2 + x3 + 4 |
[a__U93(x1, x2, x3)] | = | x2 + 2141 |
[U33(x1)] | = | 6 |
[a__U45#(x1, x2)] | = | 0 |
[a__U52(x1)] | = | 5 |
[a__length#(x1)] | = | 1 |
[a__U12(x1, x2)] | = | x1 + 1 |
[a__isNatIListKind(x1)] | = | 3 |
[isNat(x1)] | = | x1 + 3 |
[U46(x1)] | = | 19 |
[U52(x1)] | = | x1 + 6 |
[U61(x1)] | = | x1 + 3 |
[a__U46(x1)] | = | x1 + 18 |
[a__U22#(x1, x2)] | = | 0 |
[a__U13(x1)] | = | 8 |
[a__U85#(x1, x2)] | = | 0 |
[U31(x1, x2)] | = | x1 + 2 |
[U85(x1, x2)] | = | x1 + x2 + 17 |
[a__U83#(x1, x2, x3)] | = | 0 |
[a__isNatList#(x1)] | = | 0 |
[a__U71(x1)] | = | x1 + 1 |
[U92(x1, x2, x3)] | = | x1 + 2141 |
[cons(x1, x2)] | = | 3 |
[a__U92(x1, x2, x3)] | = | x3 + 2140 |
[a__U61(x1)] | = | 2 |
[U81(x1, x2, x3)] | = | x1 + 4 |
[a__U41#(x1, x2, x3)] | = | 0 |
[U82(x1, x2, x3)] | = | x1 + 11 |
[tt] | = | 6 |
[a__isNat(x1)] | = | 2 |
[U13(x1)] | = | x1 + 9 |
[a__U23(x1)] | = | 20 |
[a__isNatKind(x1)] | = | 0 |
[U22(x1, x2)] | = | x1 + 14 |
[U51(x1, x2)] | = | x1 + 5 |
[length(x1)] | = | x1 + 2139 |
[U41(x1, x2, x3)] | = | x1 + x2 + x3 + 4 |
[a__U32#(x1, x2)] | = | 0 |
[a__zeros] | = | 2 |
[a__U91#(x1, x2, x3)] | = | 1 |
[a__length(x1)] | = | 2138 |
mark#(U22(X1,X2)) | → | mark#(X1) | (243) |
mark#(U86(X)) | → | mark#(X) | (205) |
mark#(U51(X1,X2)) | → | mark#(X1) | (189) |
mark#(U81(X1,X2,X3)) | → | mark#(X1) | (219) |
mark#(U12(X1,X2)) | → | mark#(X1) | (238) |
mark#(U23(X)) | → | mark#(X) | (130) |
mark#(U52(X)) | → | mark#(X) | (221) |
mark#(U61(X)) | → | mark#(X) | (194) |
mark#(U85(X1,X2)) | → | mark#(X1) | (145) |
mark#(U13(X)) | → | mark#(X) | (202) |
mark#(U83(X1,X2,X3)) | → | mark#(X1) | (220) |
mark#(U84(X1,X2,X3)) | → | mark#(X1) | (196) |
mark#(U11(X1,X2)) | → | mark#(X1) | (174) |
mark#(U71(X)) | → | mark#(X) | (235) |
mark#(U21(X1,X2)) | → | mark#(X1) | (225) |
mark#(U82(X1,X2,X3)) | → | mark#(X1) | (236) |
mark#(s(X)) | → | mark#(X) | (237) |
The dependency pairs are split into 0 components.
a__U44#(tt,V1,V2) | → | a__U45#(a__isNat(V1),V2) | (181) |
a__U45#(tt,V2) | → | a__isNatIList#(V2) | (226) |
a__U43#(tt,V1,V2) | → | a__U44#(a__isNatIListKind(V2),V1,V2) | (160) |
a__U42#(tt,V1,V2) | → | a__U43#(a__isNatIListKind(V2),V1,V2) | (152) |
a__isNatIList#(cons(V1,V2)) | → | a__U41#(a__isNatKind(V1),V1,V2) | (148) |
a__U41#(tt,V1,V2) | → | a__U42#(a__isNatKind(V1),V1,V2) | (212) |
[a__U94#(x1, x2)] | = | 0 |
[a__U83(x1, x2, x3)] | = | x1 + 8 |
[a__isNatKind#(x1)] | = | 0 |
[isNatKind(x1)] | = | 2 |
[U21(x1, x2)] | = | x1 + 4 |
[a__U82#(x1, x2, x3)] | = | 0 |
[a__U45(x1, x2)] | = | x2 + 15 |
[isNatList(x1)] | = | x1 + 3 |
[a__U85(x1, x2)] | = | 15 |
[a__U71#(x1)] | = | 0 |
[U11(x1, x2)] | = | x1 + 4 |
[a__U92#(x1, x2, x3)] | = | 1 |
[s(x1)] | = | x1 + 5 |
[a__U31#(x1, x2)] | = | 0 |
[a__U33#(x1)] | = | 0 |
[a__U93#(x1, x2, x3)] | = | 0 |
[a__isNatIList(x1)] | = | 2 |
[a__U33(x1)] | = | 2 |
[a__U86#(x1)] | = | 0 |
[a__isNatIListKind#(x1)] | = | 0 |
[a__U23#(x1)] | = | 0 |
[U42(x1, x2, x3)] | = | x1 + 5 |
[U91(x1, x2, x3)] | = | x1 + x2 + 4 |
[a__isNat#(x1)] | = | 0 |
[a__U82(x1, x2, x3)] | = | x2 + x3 + 8 |
[U71(x1)] | = | x1 + 3 |
[a__U84(x1, x2, x3)] | = | x2 + x3 + 14 |
[a__U86(x1)] | = | 16 |
[a__U44(x1, x2, x3)] | = | x1 + 9 |
[isNatIList(x1)] | = | x1 + 3 |
[a__U43#(x1, x2, x3)] | = | x3 + 9 |
[U43(x1, x2, x3)] | = | x2 + 11 |
[a__U13#(x1)] | = | 0 |
[a__U44#(x1, x2, x3)] | = | x3 + 8 |
[U86(x1)] | = | x1 + 17 |
[U44(x1, x2, x3)] | = | x3 + 10 |
[a__U46#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + 15 |
[a__U51#(x1, x2)] | = | 0 |
[U23(x1)] | = | x1 + 21 |
[a__U22(x1, x2)] | = | x1 + 13 |
[U93(x1, x2, x3)] | = | x1 + 6 |
[a__U94(x1, x2)] | = | 6 |
[a__U11#(x1, x2)] | = | 0 |
[U94(x1, x2)] | = | x2 + 7 |
[zeros] | = | 3 |
[a__U31(x1, x2)] | = | x1 + 1 |
[a__U51(x1, x2)] | = | x2 + 3 |
[a__U81(x1, x2, x3)] | = | x1 + 2 |
[U12(x1, x2)] | = | x1 + 3 |
[a__U84#(x1, x2, x3)] | = | 0 |
[a__isNatList(x1)] | = | 2 |
[a__U43(x1, x2, x3)] | = | 10 |
[a__U42#(x1, x2, x3)] | = | x3 + 10 |
[a__U41(x1, x2, x3)] | = | 3 |
[a__U12#(x1, x2)] | = | 0 |
[a__U21#(x1, x2)] | = | 0 |
[a__isNatIList#(x1)] | = | x1 + 6 |
[a__U81#(x1, x2, x3)] | = | 0 |
[a__U61#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + 9 |
[mark#(x1)] | = | 0 |
[0] | = | 3 |
[a__zeros#] | = | 0 |
[a__U21(x1, x2)] | = | x1 + x2 + 3 |
[a__U32(x1, x2)] | = | x1 + 5 |
[a__U91(x1, x2, x3)] | = | x3 + 3 |
[nil] | = | 0 |
[isNatIListKind(x1)] | = | x1 + 3 |
[a__U52#(x1)] | = | 0 |
[U45(x1, x2)] | = | 16 |
[mark(x1)] | = | 1 |
[a__U11(x1, x2)] | = | 3 |
[U32(x1, x2)] | = | x2 + 6 |
[a__U42(x1, x2, x3)] | = | x1 + x2 + x3 + 4 |
[a__U93(x1, x2, x3)] | = | x2 + 5 |
[U33(x1)] | = | 3 |
[a__U45#(x1, x2)] | = | x2 + 7 |
[a__U52(x1)] | = | 4 |
[a__length#(x1)] | = | 1 |
[a__U12(x1, x2)] | = | x1 + 2 |
[a__isNatIListKind(x1)] | = | 2 |
[isNat(x1)] | = | x1 + 3 |
[U46(x1)] | = | 19 |
[U52(x1)] | = | x1 + 5 |
[U61(x1)] | = | x1 + 5 |
[a__U46(x1)] | = | x1 + 18 |
[a__U22#(x1, x2)] | = | 0 |
[a__U13(x1)] | = | 8 |
[a__U85#(x1, x2)] | = | 0 |
[U31(x1, x2)] | = | x1 + 2 |
[U85(x1, x2)] | = | x1 + x2 + 16 |
[a__U83#(x1, x2, x3)] | = | 0 |
[a__isNatList#(x1)] | = | 0 |
[a__U71(x1)] | = | 2 |
[U92(x1, x2, x3)] | = | x1 + 5 |
[cons(x1, x2)] | = | x2 + 6 |
[a__U92(x1, x2, x3)] | = | x3 + 4 |
[a__U61(x1)] | = | 4 |
[U81(x1, x2, x3)] | = | x1 + 4 |
[a__U41#(x1, x2, x3)] | = | x3 + 11 |
[U82(x1, x2, x3)] | = | x1 + 9 |
[tt] | = | 5 |
[a__isNat(x1)] | = | 2 |
[U13(x1)] | = | x1 + 9 |
[a__U23(x1)] | = | 20 |
[a__isNatKind(x1)] | = | 1 |
[U22(x1, x2)] | = | x1 + 14 |
[U51(x1, x2)] | = | x1 + 4 |
[length(x1)] | = | x1 + 3 |
[U41(x1, x2, x3)] | = | x1 + x2 + x3 + 4 |
[a__U32#(x1, x2)] | = | 0 |
[a__zeros] | = | 2 |
[a__U91#(x1, x2, x3)] | = | 1 |
[a__length(x1)] | = | 2 |
a__U44#(tt,V1,V2) | → | a__U45#(a__isNat(V1),V2) | (181) |
a__U45#(tt,V2) | → | a__isNatIList#(V2) | (226) |
a__U43#(tt,V1,V2) | → | a__U44#(a__isNatIListKind(V2),V1,V2) | (160) |
a__U42#(tt,V1,V2) | → | a__U43#(a__isNatIListKind(V2),V1,V2) | (152) |
a__isNatIList#(cons(V1,V2)) | → | a__U41#(a__isNatKind(V1),V1,V2) | (148) |
a__U41#(tt,V1,V2) | → | a__U42#(a__isNatKind(V1),V1,V2) | (212) |
The dependency pairs are split into 0 components.
a__U84#(tt,V1,V2) | → | a__isNat#(V1) | (250) |
a__U84#(tt,V1,V2) | → | a__U85#(a__isNat(V1),V2) | (195) |
a__isNat#(length(V1)) | → | a__U11#(a__isNatIListKind(V1),V1) | (191) |
a__U85#(tt,V2) | → | a__isNatList#(V2) | (185) |
a__U82#(tt,V1,V2) | → | a__U83#(a__isNatIListKind(V2),V1,V2) | (180) |
a__U11#(tt,V1) | → | a__U12#(a__isNatIListKind(V1),V1) | (239) |
a__isNatList#(cons(V1,V2)) | → | a__U81#(a__isNatKind(V1),V1,V2) | (161) |
a__U12#(tt,V1) | → | a__isNatList#(V1) | (222) |
a__isNat#(s(V1)) | → | a__U21#(a__isNatKind(V1),V1) | (218) |
a__U83#(tt,V1,V2) | → | a__U84#(a__isNatIListKind(V2),V1,V2) | (143) |
a__U81#(tt,V1,V2) | → | a__U82#(a__isNatKind(V1),V1,V2) | (137) |
a__U22#(tt,V1) | → | a__isNat#(V1) | (208) |
a__U21#(tt,V1) | → | a__U22#(a__isNatKind(V1),V1) | (200) |
[a__U94#(x1, x2)] | = | 0 |
[a__U83(x1, x2, x3)] | = | x1 + 1 |
[a__isNatKind#(x1)] | = | 0 |
[isNatKind(x1)] | = | 2 |
[U21(x1, x2)] | = | x1 + 10 |
[a__U82#(x1, x2, x3)] | = | x2 + x3 + 7555 |
[a__U45(x1, x2)] | = | x2 + 16 |
[isNatList(x1)] | = | x1 + 10 |
[a__U85(x1, x2)] | = | 16 |
[a__U71#(x1)] | = | 0 |
[U11(x1, x2)] | = | x1 + 11 |
[a__U92#(x1, x2, x3)] | = | 1 |
[s(x1)] | = | x1 + 0 |
[a__U31#(x1, x2)] | = | 0 |
[a__U33#(x1)] | = | 0 |
[a__U93#(x1, x2, x3)] | = | 0 |
[a__isNatIList(x1)] | = | 9 |
[a__U33(x1)] | = | 9 |
[a__U86#(x1)] | = | 0 |
[a__isNatIListKind#(x1)] | = | 0 |
[a__U23#(x1)] | = | 0 |
[U42(x1, x2, x3)] | = | x1 + 11 |
[U91(x1, x2, x3)] | = | x1 + x2 + 13 |
[a__isNat#(x1)] | = | x1 + 13 |
[a__U82(x1, x2, x3)] | = | x1 + x2 + x3 + 10 |
[U71(x1)] | = | 14 |
[a__U84(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[a__U86(x1)] | = | 17 |
[a__U44(x1, x2, x3)] | = | x1 + 1 |
[isNatIList(x1)] | = | x1 + 10 |
[a__U43#(x1, x2, x3)] | = | 9 |
[U43(x1, x2, x3)] | = | x2 + 2 |
[a__U13#(x1)] | = | 0 |
[a__U44#(x1, x2, x3)] | = | 8 |
[U86(x1)] | = | x1 + 18 |
[U44(x1, x2, x3)] | = | x3 + 2 |
[a__U46#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + 2 |
[a__U51#(x1, x2)] | = | 0 |
[U23(x1)] | = | x1 + 39 |
[a__U22(x1, x2)] | = | x1 + 23 |
[U93(x1, x2, x3)] | = | x1 + 10 |
[a__U94(x1, x2)] | = | 10 |
[a__U11#(x1, x2)] | = | x1 + x2 + 0 |
[U94(x1, x2)] | = | x2 + 11 |
[zeros] | = | 10 |
[a__U31(x1, x2)] | = | 10 |
[a__U51(x1, x2)] | = | 14 |
[a__U81(x1, x2, x3)] | = | 10 |
[U12(x1, x2)] | = | x1 + x2 + 12 |
[a__U84#(x1, x2, x3)] | = | x1 + x2 + x3 + 0 |
[a__isNatList(x1)] | = | 9 |
[a__U43(x1, x2, x3)] | = | x1 + 1 |
[a__U42#(x1, x2, x3)] | = | 10 |
[a__U41(x1, x2, x3)] | = | 10 |
[a__U12#(x1, x2)] | = | x2 + 13 |
[a__U21#(x1, x2)] | = | x2 + 13 |
[a__isNatIList#(x1)] | = | 6 |
[a__U81#(x1, x2, x3)] | = | x2 + x3 + 7555 |
[a__U61#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + 2 |
[mark#(x1)] | = | 0 |
[0] | = | 12 |
[a__zeros#] | = | 0 |
[a__U21(x1, x2)] | = | x1 + x2 + 9 |
[a__U32(x1, x2)] | = | 11 |
[a__U91(x1, x2, x3)] | = | x3 + 12 |
[nil] | = | 8 |
[isNatIListKind(x1)] | = | 1 |
[a__U52#(x1)] | = | 0 |
[U45(x1, x2)] | = | 17 |
[mark(x1)] | = | 8 |
[a__U11(x1, x2)] | = | 10 |
[U32(x1, x2)] | = | x2 + 12 |
[a__U42(x1, x2, x3)] | = | x1 + x2 + x3 + 10 |
[a__U93(x1, x2, x3)] | = | x2 + 9 |
[U33(x1)] | = | 10 |
[a__U45#(x1, x2)] | = | 7 |
[a__U52(x1)] | = | 14 |
[a__length#(x1)] | = | 1 |
[a__U12(x1, x2)] | = | 11 |
[a__isNatIListKind(x1)] | = | 7553 |
[isNat(x1)] | = | x1 + 10 |
[U46(x1)] | = | 9 |
[U52(x1)] | = | 14 |
[U61(x1)] | = | x1 + 2 |
[a__U46(x1)] | = | x1 + 8 |
[a__U22#(x1, x2)] | = | x2 + 13 |
[a__U13(x1)] | = | 14 |
[a__U85#(x1, x2)] | = | x2 + 13 |
[U31(x1, x2)] | = | 11 |
[U85(x1, x2)] | = | x1 + x2 + 17 |
[a__U83#(x1, x2, x3)] | = | x2 + x3 + 7554 |
[a__isNatList#(x1)] | = | x1 + 12 |
[a__U71(x1)] | = | 13 |
[U92(x1, x2, x3)] | = | x1 + 14 |
[cons(x1, x2)] | = | x1 + x2 + 7544 |
[a__U92(x1, x2, x3)] | = | x3 + 13 |
[a__U61(x1)] | = | x1 + 1 |
[U81(x1, x2, x3)] | = | 11 |
[a__U41#(x1, x2, x3)] | = | 11 |
[U82(x1, x2, x3)] | = | x1 + 11 |
[tt] | = | 14 |
[a__isNat(x1)] | = | 9 |
[U13(x1)] | = | x1 + 15 |
[a__U23(x1)] | = | 38 |
[a__isNatKind(x1)] | = | x1 + 1 |
[U22(x1, x2)] | = | x1 + 24 |
[U51(x1, x2)] | = | 14 |
[length(x1)] | = | x1 + 7541 |
[U41(x1, x2, x3)] | = | x1 + x2 + x3 + 11 |
[a__U32#(x1, x2)] | = | 0 |
[a__zeros] | = | 9 |
[a__U91#(x1, x2, x3)] | = | 1 |
[a__length(x1)] | = | 11 |
a__U52(tt) | → | tt | (18) |
a__U51(tt,V2) | → | a__U52(a__isNatIListKind(V2)) | (17) |
a__isNatIListKind(cons(V1,V2)) | → | a__U51(a__isNatKind(V1),V2) | (39) |
a__U51(X1,X2) | → | U51(X1,X2) | (109) |
a__U52(X) | → | U52(X) | (110) |
a__isNatIListKind(zeros) | → | tt | (38) |
a__isNatIListKind(X) | → | isNatIListKind(X) | (91) |
a__isNatIListKind(nil) | → | tt | (37) |
a__U84#(tt,V1,V2) | → | a__isNat#(V1) | (250) |
a__U84#(tt,V1,V2) | → | a__U85#(a__isNat(V1),V2) | (195) |
a__isNat#(length(V1)) | → | a__U11#(a__isNatIListKind(V1),V1) | (191) |
a__U85#(tt,V2) | → | a__isNatList#(V2) | (185) |
a__U82#(tt,V1,V2) | → | a__U83#(a__isNatIListKind(V2),V1,V2) | (180) |
a__U11#(tt,V1) | → | a__U12#(a__isNatIListKind(V1),V1) | (239) |
a__isNatList#(cons(V1,V2)) | → | a__U81#(a__isNatKind(V1),V1,V2) | (161) |
a__U12#(tt,V1) | → | a__isNatList#(V1) | (222) |
a__U83#(tt,V1,V2) | → | a__U84#(a__isNatIListKind(V2),V1,V2) | (143) |
The dependency pairs are split into 1 component.
a__U21#(tt,V1) | → | a__U22#(a__isNatKind(V1),V1) | (200) |
a__isNat#(s(V1)) | → | a__U21#(a__isNatKind(V1),V1) | (218) |
a__U22#(tt,V1) | → | a__isNat#(V1) | (208) |
[a__U94#(x1, x2)] | = | 0 |
[a__U83(x1, x2, x3)] | = | x1 + 25092 |
[a__isNatKind#(x1)] | = | 0 |
[isNatKind(x1)] | = | x1 + 2 |
[U21(x1, x2)] | = | x2 + 1 |
[a__U82#(x1, x2, x3)] | = | 7555 |
[a__U45(x1, x2)] | = | x2 + 9 |
[isNatList(x1)] | = | x1 + 1 |
[a__U85(x1, x2)] | = | 53752 |
[a__U71#(x1)] | = | 0 |
[U11(x1, x2)] | = | x1 + 3 |
[a__U92#(x1, x2, x3)] | = | 1 |
[s(x1)] | = | x1 + 5 |
[a__U31#(x1, x2)] | = | 0 |
[a__U33#(x1)] | = | 0 |
[a__U93#(x1, x2, x3)] | = | 0 |
[a__isNatIList(x1)] | = | 3 |
[a__U33(x1)] | = | 3 |
[a__U86#(x1)] | = | 0 |
[a__isNatIListKind#(x1)] | = | 0 |
[a__U23#(x1)] | = | 0 |
[U42(x1, x2, x3)] | = | x3 + 2 |
[U91(x1, x2, x3)] | = | x1 + x2 + x3 + 5 |
[a__isNat#(x1)] | = | x1 + 9 |
[a__U82(x1, x2, x3)] | = | x1 + x2 + x3 + 15371 |
[U71(x1)] | = | 8 |
[a__U84(x1, x2, x3)] | = | x1 + x2 + x3 + 53743 |
[a__U86(x1)] | = | 53753 |
[a__U44(x1, x2, x3)] | = | x1 + 0 |
[isNatIList(x1)] | = | x1 + 1 |
[a__U43#(x1, x2, x3)] | = | 9 |
[U43(x1, x2, x3)] | = | x2 + 4221 |
[a__U13#(x1)] | = | 0 |
[a__U44#(x1, x2, x3)] | = | 8 |
[U86(x1)] | = | x1 + 9542 |
[U44(x1, x2, x3)] | = | x2 + x3 + 1 |
[a__U46#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + 53742 |
[a__U51#(x1, x2)] | = | 0 |
[U23(x1)] | = | x1 + 20 |
[a__U22(x1, x2)] | = | x1 + 10 |
[U93(x1, x2, x3)] | = | x1 + x3 + 1 |
[a__U94(x1, x2)] | = | 6 |
[a__U11#(x1, x2)] | = | x1 + 0 |
[U94(x1, x2)] | = | x2 + 4 |
[zeros] | = | 1 |
[a__U31(x1, x2)] | = | 4 |
[a__U51(x1, x2)] | = | 7553 |
[a__U81(x1, x2, x3)] | = | 15371 |
[U12(x1, x2)] | = | x1 + x2 + 1 |
[a__U84#(x1, x2, x3)] | = | x1 + 0 |
[a__isNatList(x1)] | = | 3 |
[a__U43(x1, x2, x3)] | = | x1 + 4222 |
[a__U42#(x1, x2, x3)] | = | 10 |
[a__U41(x1, x2, x3)] | = | 10 |
[a__U12#(x1, x2)] | = | 13 |
[a__U21#(x1, x2)] | = | x2 + 13 |
[a__isNatIList#(x1)] | = | 6 |
[a__U81#(x1, x2, x3)] | = | 7555 |
[a__U61#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + 25091 |
[mark#(x1)] | = | 0 |
[0] | = | 4 |
[a__zeros#] | = | 0 |
[a__U21(x1, x2)] | = | x1 + x2 + 2 |
[a__U32(x1, x2)] | = | 5 |
[a__U91(x1, x2, x3)] | = | x3 + 4 |
[nil] | = | 12030 |
[isNatIListKind(x1)] | = | 1 |
[a__U52#(x1)] | = | 0 |
[U45(x1, x2)] | = | 17 |
[mark(x1)] | = | x1 + 1 |
[a__U11(x1, x2)] | = | 2 |
[U32(x1, x2)] | = | x2 + 1 |
[a__U42(x1, x2, x3)] | = | x1 + x2 + x3 + 10 |
[a__U93(x1, x2, x3)] | = | x2 + 0 |
[U33(x1)] | = | 1 |
[a__U45#(x1, x2)] | = | 7 |
[a__U52(x1)] | = | 7553 |
[a__length#(x1)] | = | 1 |
[a__U12(x1, x2)] | = | 3 |
[a__isNatIListKind(x1)] | = | 7553 |
[isNat(x1)] | = | x1 + 14585 |
[U46(x1)] | = | 1 |
[U52(x1)] | = | 4252 |
[U61(x1)] | = | x1 + 18737 |
[a__U46(x1)] | = | x1 + 9 |
[a__U22#(x1, x2)] | = | x2 + 10 |
[a__U13(x1)] | = | 8 |
[a__U85#(x1, x2)] | = | 13 |
[U31(x1, x2)] | = | x2 + 2 |
[U85(x1, x2)] | = | x1 + x2 + 53753 |
[a__U83#(x1, x2, x3)] | = | 7554 |
[a__isNatList#(x1)] | = | 12 |
[a__U71(x1)] | = | 7 |
[U92(x1, x2, x3)] | = | x1 + 6 |
[cons(x1, x2)] | = | x1 + x2 + 16819 |
[a__U92(x1, x2, x3)] | = | x3 + 5 |
[a__U61(x1)] | = | x1 + 0 |
[U81(x1, x2, x3)] | = | 15369 |
[a__U41#(x1, x2, x3)] | = | 11 |
[U82(x1, x2, x3)] | = | x1 + x2 + x3 + 15372 |
[tt] | = | 8 |
[a__isNat(x1)] | = | 1 |
[U13(x1)] | = | x1 + 9 |
[a__U23(x1)] | = | 19 |
[a__isNatKind(x1)] | = | x1 + 1 |
[U22(x1, x2)] | = | x1 + 11 |
[U51(x1, x2)] | = | 2630 |
[length(x1)] | = | x1 + 1 |
[U41(x1, x2, x3)] | = | x1 + x2 + x3 + 8 |
[a__U32#(x1, x2)] | = | 0 |
[a__zeros] | = | 3 |
[a__U91#(x1, x2, x3)] | = | 1 |
[a__length(x1)] | = | 3 |
a__U52(tt) | → | tt | (18) |
a__U51(tt,V2) | → | a__U52(a__isNatIListKind(V2)) | (17) |
a__isNatIListKind(cons(V1,V2)) | → | a__U51(a__isNatKind(V1),V2) | (39) |
a__U51(X1,X2) | → | U51(X1,X2) | (109) |
a__U52(X) | → | U52(X) | (110) |
a__isNatIListKind(zeros) | → | tt | (38) |
a__isNatIListKind(X) | → | isNatIListKind(X) | (91) |
a__isNatIListKind(nil) | → | tt | (37) |
a__U21#(tt,V1) | → | a__U22#(a__isNatKind(V1),V1) | (200) |
a__isNat#(s(V1)) | → | a__U21#(a__isNatKind(V1),V1) | (218) |
a__U22#(tt,V1) | → | a__isNat#(V1) | (208) |
The dependency pairs are split into 0 components.
a__isNatIListKind#(cons(V1,V2)) | → | a__U51#(a__isNatKind(V1),V2) | (249) |
a__isNatKind#(length(V1)) | → | a__isNatIListKind#(V1) | (190) |
a__isNatKind#(s(V1)) | → | a__isNatKind#(V1) | (183) |
a__isNatIListKind#(cons(V1,V2)) | → | a__isNatKind#(V1) | (176) |
a__U51#(tt,V2) | → | a__isNatIListKind#(V2) | (228) |
[a__U94#(x1, x2)] | = | 0 |
[a__U83(x1, x2, x3)] | = | x1 + 67309 |
[a__isNatKind#(x1)] | = | x1 + 0 |
[isNatKind(x1)] | = | x1 + 2 |
[U21(x1, x2)] | = | x2 + 1 |
[a__U82#(x1, x2, x3)] | = | 7555 |
[a__U45(x1, x2)] | = | x2 + 7 |
[isNatList(x1)] | = | x1 + 2 |
[a__U85(x1, x2)] | = | 59770 |
[a__U71#(x1)] | = | 0 |
[U11(x1, x2)] | = | x1 + 3 |
[a__U92#(x1, x2, x3)] | = | 1 |
[s(x1)] | = | x1 + 1 |
[a__U31#(x1, x2)] | = | 0 |
[a__U33#(x1)] | = | 0 |
[a__U93#(x1, x2, x3)] | = | 0 |
[a__isNatIList(x1)] | = | 3 |
[a__U33(x1)] | = | 5 |
[a__U86#(x1)] | = | 0 |
[a__isNatIListKind#(x1)] | = | x1 + 0 |
[a__U23#(x1)] | = | 0 |
[U42(x1, x2, x3)] | = | x3 + 2 |
[U91(x1, x2, x3)] | = | x1 + x2 + x3 + 5 |
[a__isNat#(x1)] | = | 9 |
[a__U82(x1, x2, x3)] | = | x1 + x2 + x3 + 74855 |
[U71(x1)] | = | 6 |
[a__U84(x1, x2, x3)] | = | x1 + x2 + x3 + 59763 |
[a__U86(x1)] | = | 59771 |
[a__U44(x1, x2, x3)] | = | x1 + 0 |
[isNatIList(x1)] | = | x1 + 1 |
[a__U43#(x1, x2, x3)] | = | 9 |
[U43(x1, x2, x3)] | = | x2 + 2692 |
[a__U13#(x1)] | = | 0 |
[a__U44#(x1, x2, x3)] | = | 8 |
[U86(x1)] | = | x1 + 22100 |
[U44(x1, x2, x3)] | = | x2 + x3 + 1 |
[a__U46#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + 59762 |
[a__U51#(x1, x2)] | = | x2 + 1 |
[U23(x1)] | = | x1 + 20 |
[a__U22(x1, x2)] | = | x1 + 8 |
[U93(x1, x2, x3)] | = | x1 + x3 + 1 |
[a__U94(x1, x2)] | = | 3 |
[a__U11#(x1, x2)] | = | x1 + 0 |
[U94(x1, x2)] | = | x2 + 1 |
[zeros] | = | 1 |
[a__U31(x1, x2)] | = | 4 |
[a__U51(x1, x2)] | = | 7553 |
[a__U81(x1, x2, x3)] | = | 74855 |
[U12(x1, x2)] | = | x1 + x2 + 3 |
[a__U84#(x1, x2, x3)] | = | x1 + 0 |
[a__isNatList(x1)] | = | 4 |
[a__U43(x1, x2, x3)] | = | x1 + 4222 |
[a__U42#(x1, x2, x3)] | = | 10 |
[a__U41(x1, x2, x3)] | = | 10 |
[a__U12#(x1, x2)] | = | 13 |
[a__U21#(x1, x2)] | = | 13 |
[a__isNatIList#(x1)] | = | 6 |
[a__U81#(x1, x2, x3)] | = | 7555 |
[a__U61#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + 30680 |
[mark#(x1)] | = | 0 |
[0] | = | 4 |
[a__zeros#] | = | 0 |
[a__U21(x1, x2)] | = | x1 + x2 + 2 |
[a__U32(x1, x2)] | = | 4617 |
[a__U91(x1, x2, x3)] | = | x3 + 4 |
[nil] | = | 1 |
[isNatIListKind(x1)] | = | 6485 |
[a__U52#(x1)] | = | 0 |
[U45(x1, x2)] | = | 15 |
[mark(x1)] | = | x1 + 1 |
[a__U11(x1, x2)] | = | 2 |
[U32(x1, x2)] | = | x2 + 4613 |
[a__U42(x1, x2, x3)] | = | x1 + x2 + x3 + 10 |
[a__U93(x1, x2, x3)] | = | x2 + 0 |
[U33(x1)] | = | 3 |
[a__U45#(x1, x2)] | = | 7 |
[a__U52(x1)] | = | 7553 |
[a__length#(x1)] | = | 1 |
[a__U12(x1, x2)] | = | 5 |
[a__isNatIListKind(x1)] | = | 7553 |
[isNat(x1)] | = | x1 + 14585 |
[U46(x1)] | = | 1 |
[U52(x1)] | = | 30 |
[U61(x1)] | = | x1 + 18737 |
[a__U46(x1)] | = | x1 + 9 |
[a__U22#(x1, x2)] | = | 10 |
[a__U13(x1)] | = | 6 |
[a__U85#(x1, x2)] | = | 13 |
[U31(x1, x2)] | = | x2 + 1 |
[U85(x1, x2)] | = | x1 + x2 + 59771 |
[a__U83#(x1, x2, x3)] | = | 7554 |
[a__isNatList#(x1)] | = | 12 |
[a__U71(x1)] | = | 5 |
[U92(x1, x2, x3)] | = | x1 + 25058 |
[cons(x1, x2)] | = | x1 + x2 + 2 |
[a__U92(x1, x2, x3)] | = | x3 + 5 |
[a__U61(x1)] | = | x1 + 0 |
[U81(x1, x2, x3)] | = | 74853 |
[a__U41#(x1, x2, x3)] | = | 11 |
[U82(x1, x2, x3)] | = | x1 + x2 + x3 + 74856 |
[tt] | = | 6 |
[a__isNat(x1)] | = | 1 |
[U13(x1)] | = | x1 + 7 |
[a__U23(x1)] | = | 19 |
[a__isNatKind(x1)] | = | x1 + 1 |
[U22(x1, x2)] | = | x1 + 9 |
[U51(x1, x2)] | = | 4809 |
[length(x1)] | = | x1 + 1 |
[U41(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[a__U32#(x1, x2)] | = | 0 |
[a__zeros] | = | 3 |
[a__U91#(x1, x2, x3)] | = | 1 |
[a__length(x1)] | = | 3 |
a__U52(tt) | → | tt | (18) |
a__U51(tt,V2) | → | a__U52(a__isNatIListKind(V2)) | (17) |
a__isNatIListKind(cons(V1,V2)) | → | a__U51(a__isNatKind(V1),V2) | (39) |
a__U51(X1,X2) | → | U51(X1,X2) | (109) |
a__U52(X) | → | U52(X) | (110) |
a__isNatIListKind(zeros) | → | tt | (38) |
a__isNatIListKind(X) | → | isNatIListKind(X) | (91) |
a__isNatIListKind(nil) | → | tt | (37) |
a__isNatIListKind#(cons(V1,V2)) | → | a__U51#(a__isNatKind(V1),V2) | (249) |
a__isNatKind#(length(V1)) | → | a__isNatIListKind#(V1) | (190) |
a__isNatKind#(s(V1)) | → | a__isNatKind#(V1) | (183) |
a__isNatIListKind#(cons(V1,V2)) | → | a__isNatKind#(V1) | (176) |
a__U51#(tt,V2) | → | a__isNatIListKind#(V2) | (228) |
The dependency pairs are split into 0 components.