The rewrite relation of the following TRS is considered.
There are 243 ruless (increase limit for explicit display).
There are 383 ruless (increase limit for explicit display).
The dependency pairs are split into 38 components.
There are 109 ruless (increase limit for explicit display).
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 49080 |
[U16(x1)] | = | 720 |
[U21(x1, x2)] | = | 49080 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 49080 |
[s(x1)] | = | 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 49079 |
[U91(x1, x2)] | = | 49080 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 49080 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 49080 |
[U103(x1, x2, x3)] | = | 49080 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 49080 |
[U23(x1)] | = | 16923 |
[U35(x1, x2)] | = | 49080 |
[U72(x1, x2)] | = | 49080 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 49080 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 49080 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 49080 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 49080 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 49080 |
[mark#(x1)] | = | 49080 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 19912 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 21256 |
[mark(x1)] | = | 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | 49080 |
[U33(x1, x2, x3)] | = | 49080 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 49080 |
[isNat(x1)] | = | 49080 |
[plus(x1, x2)] | = | 49080 |
[U15(x1, x2)] | = | 49080 |
[U61(x1, x2)] | = | 49080 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | 2 |
[U31(x1, x2, x3)] | = | 49080 |
[U92(x1)] | = | 6437 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 49080 |
[active#(x1)] | = | x1 + 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 49080 |
[U82(x1, x2, x3)] | = | 49080 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 49080 |
[U22(x1, x2)] | = | 49080 |
[U51(x1)] | = | 6389 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 49080 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(U92(X)) | → | active#(U92(mark(X))) | (625) |
mark#(U42(X)) | → | active#(U42(mark(X))) | (585) |
mark#(U23(X)) | → | active#(U23(mark(X))) | (548) |
mark#(U36(X)) | → | active#(U36(mark(X))) | (506) |
mark#(U16(X)) | → | active#(U16(mark(X))) | (467) |
mark#(s(X)) | → | active#(s(mark(X))) | (353) |
mark#(U62(X)) | → | active#(U62(mark(X))) | (344) |
mark#(U51(X)) | → | active#(U51(mark(X))) | (341) |
The dependency pairs are split into 1 component.
There are 101 ruless (increase limit for explicit display).
[U72#(x1, x2)] | = | max(0) |
[U32#(x1, x2, x3)] | = | max(0) |
[isNatKind(x1)] | = | 24327 |
[U16(x1)] | = | x1 + 0 |
[U21(x1, x2)] | = | max(x1 + 0, 0) |
[U83#(x1, x2, x3)] | = | max(0) |
[U11(x1, x2, x3)] | = | max(x1 + 0, 0) |
[s(x1)] | = | x1 + 0 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 0 |
[U91(x1, x2)] | = | max(x1 + 12064, x2 + 36391, 0) |
[U35#(x1, x2)] | = | max(0) |
[U101#(x1, x2, x3)] | = | max(0) |
[U82#(x1, x2, x3)] | = | max(0) |
[U104#(x1, x2, x3)] | = | max(0) |
[U71(x1, x2)] | = | max(x1 + 1, x2 + 0, 0) |
[U81#(x1, x2, x3)] | = | max(0) |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | max(0) |
[U101(x1, x2, x3)] | = | max(x1 + 50670, x2 + 74997, x3 + 50671, 0) |
[U103(x1, x2, x3)] | = | max(x1 + 50668, x2 + 74997, x3 + 50671, 0) |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | max(x1 + 1, x2 + 50669, x3 + 0, 0) |
[U23(x1)] | = | x1 + 0 |
[U35(x1, x2)] | = | max(x1 + 0, 0) |
[U72(x1, x2)] | = | max(x1 + 1, x2 + 0, 0) |
[U13#(x1, x2, x3)] | = | max(0) |
[U34(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U103#(x1, x2, x3)] | = | max(0) |
[U12(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U33#(x1, x2, x3)] | = | max(0) |
[x(x1, x2)] | = | max(x1 + 50671, x2 + 74997, 0) |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | max(x1 + 26343, x2 + 74997, x3 + 50671, 0) |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | max(0) |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | max(x1 + 26342, x2 + 50669, x3 + 0, 0) |
[mark#(x1)] | = | x1 + 0 |
[0] | = | 25192 |
[U14#(x1, x2, x3)] | = | max(0) |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | x1 + 0 |
[U102#(x1, x2, x3)] | = | max(0) |
[x#(x1, x2)] | = | max(0) |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 0 |
[mark(x1)] | = | x1 + 0 |
[U15#(x1, x2)] | = | max(0) |
[U32(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U33(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U34#(x1, x2, x3)] | = | max(0) |
[U14(x1, x2, x3)] | = | max(x1 + 0, 0) |
[isNat(x1)] | = | 24327 |
[plus(x1, x2)] | = | max(x1 + 0, x2 + 50669, 0) |
[U15(x1, x2)] | = | max(x1 + 0, 0) |
[U61(x1, x2)] | = | max(x1 + 0, 0) |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | max(0) |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U92(x1)] | = | x1 + 12063 |
[U41#(x1, x2)] | = | max(0) |
[U102(x1, x2, x3)] | = | max(x1 + 50669, x2 + 74997, x3 + 50671, 0) |
[active#(x1)] | = | x1 + 0 |
[U21#(x1, x2)] | = | max(0) |
[U81(x1, x2, x3)] | = | max(x1 + 3566, x2 + 50669, x3 + 0, 0) |
[U82(x1, x2, x3)] | = | max(x1 + 3567, x2 + 50669, x3 + 0, 0) |
[U22#(x1, x2)] | = | max(0) |
[tt] | = | 24327 |
[U84#(x1, x2, x3)] | = | max(0) |
[U71#(x1, x2)] | = | max(0) |
[U13(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U22(x1, x2)] | = | max(x1 + 0, 0) |
[U51(x1)] | = | x1 + 0 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | max(x1 + 0, 0) |
[U31#(x1, x2, x3)] | = | max(0) |
[U91#(x1, x2)] | = | max(0) |
[U61#(x1, x2)] | = | max(0) |
There are 243 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(U82(X1,X2,X3)) | → | mark#(X1) | (464) |
mark#(U103(X1,X2,X3)) | → | mark#(X1) | (597) |
mark#(plus(X1,X2)) | → | mark#(X2) | (362) |
mark#(U92(X)) | → | mark#(X) | (475) |
mark#(U84(X1,X2,X3)) | → | mark#(X1) | (552) |
active#(U91(tt,N)) | → | mark#(U92(isNatKind(N))) | (495) |
mark#(U101(X1,X2,X3)) | → | mark#(X1) | (511) |
mark#(U83(X1,X2,X3)) | → | mark#(X1) | (323) |
mark#(U91(X1,X2)) | → | mark#(X1) | (523) |
mark#(U81(X1,X2,X3)) | → | mark#(X1) | (413) |
mark#(U104(X1,X2,X3)) | → | mark#(X1) | (277) |
mark#(U71(X1,X2)) | → | mark#(X1) | (400) |
mark#(U72(X1,X2)) | → | mark#(X1) | (469) |
mark#(x(X1,X2)) | → | mark#(X2) | (429) |
mark#(x(X1,X2)) | → | mark#(X1) | (357) |
mark#(U102(X1,X2,X3)) | → | mark#(X1) | (393) |
active#(x(N,0)) | → | mark#(U91(isNat(N),N)) | (477) |
The dependency pairs are split into 1 component.
active#(U35(tt,V2)) | → | mark#(U36(isNat(V2))) | (479) |
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
mark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(U32(tt,V1,V2)) | → | mark#(U33(isNatKind(V2),V1,V2)) | (301) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | mark#(X1) | (397) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U33(tt,V1,V2)) | → | mark#(U34(isNatKind(V2),V1,V2)) | (525) |
active#(isNat(x(V1,V2))) | → | mark#(U31(isNatKind(V1),V1,V2)) | (259) |
mark#(U36(X)) | → | mark#(X) | (333) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U31(X1,X2,X3)) | → | mark#(X1) | (327) |
mark#(U31(X1,X2,X3)) | → | active#(U31(mark(X1),X2,X3)) | (566) |
active#(U34(tt,V1,V2)) | → | mark#(U35(isNat(V1),V2)) | (441) |
mark#(U21(X1,X2)) | → | mark#(X1) | (260) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
mark#(U33(X1,X2,X3)) | → | mark#(X1) | (455) |
mark#(U33(X1,X2,X3)) | → | active#(U33(mark(X1),X2,X3)) | (274) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
mark#(U61(X1,X2)) | → | mark#(X1) | (582) |
mark#(U61(X1,X2)) | → | active#(U61(mark(X1),X2)) | (292) |
mark#(U32(X1,X2,X3)) | → | mark#(X1) | (248) |
mark#(U32(X1,X2,X3)) | → | active#(U32(mark(X1),X2,X3)) | (387) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
active#(U41(tt,V2)) | → | mark#(U42(isNatKind(V2))) | (571) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
mark#(U23(X)) | → | mark#(X) | (510) |
active#(U31(tt,V1,V2)) | → | mark#(U32(isNatKind(V1),V1,V2)) | (551) |
mark#(U13(X1,X2,X3)) | → | mark#(X1) | (446) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U41(X1,X2)) | → | active#(U41(mark(X1),X2)) | (519) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U91(X1,X2)) | → | active#(U91(mark(X1),X2)) | (483) |
active#(U61(tt,V2)) | → | mark#(U62(isNatKind(V2))) | (542) |
mark#(U42(X)) | → | mark#(X) | (517) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | mark#(X1) | (439) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
active#(U15(tt,V2)) | → | mark#(U16(isNat(V2))) | (527) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
active#(isNatKind(x(V1,V2))) | → | mark#(U61(isNatKind(V1),V2)) | (420) |
mark#(U35(X1,X2)) | → | mark#(X1) | (619) |
mark#(U35(X1,X2)) | → | active#(U35(mark(X1),X2)) | (610) |
mark#(U12(X1,X2,X3)) | → | mark#(X1) | (402) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
mark#(U16(X)) | → | mark#(X) | (268) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | mark#(X1) | (409) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U15(X1,X2)) | → | active#(U15(mark(X1),X2)) | (298) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
mark#(U62(X)) | → | mark#(X) | (262) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
mark#(U34(X1,X2,X3)) | → | mark#(X1) | (623) |
mark#(U34(X1,X2,X3)) | → | active#(U34(mark(X1),X2,X3)) | (577) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 15383 |
[U16(x1)] | = | 15382 |
[U21(x1, x2)] | = | 15383 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 15383 |
[s(x1)] | = | 15384 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 0 |
[U91(x1, x2)] | = | 8741 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 15383 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 15383 |
[U103(x1, x2, x3)] | = | 15383 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 15383 |
[U23(x1)] | = | 0 |
[U35(x1, x2)] | = | 15383 |
[U72(x1, x2)] | = | 15383 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 15383 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 15383 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 15383 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 15383 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 15383 |
[mark#(x1)] | = | 64463 |
[0] | = | 15384 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 0 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 15384 |
[mark(x1)] | = | 15383 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | 15383 |
[U33(x1, x2, x3)] | = | 15383 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 15383 |
[isNat(x1)] | = | 15383 |
[plus(x1, x2)] | = | 15383 |
[U15(x1, x2)] | = | 15383 |
[U61(x1, x2)] | = | 15383 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | 15383 |
[U92(x1)] | = | 8552 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 15383 |
[active#(x1)] | = | x1 + 49080 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 15383 |
[U82(x1, x2, x3)] | = | 15383 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 15384 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 15383 |
[U22(x1, x2)] | = | 15383 |
[U51(x1)] | = | 15384 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 15383 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairmark#(U91(X1,X2)) | → | active#(U91(mark(X1),X2)) | (483) |
The dependency pairs are split into 1 component.
active#(U35(tt,V2)) | → | mark#(U36(isNat(V2))) | (479) |
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
mark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(U32(tt,V1,V2)) | → | mark#(U33(isNatKind(V2),V1,V2)) | (301) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | mark#(X1) | (397) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U33(tt,V1,V2)) | → | mark#(U34(isNatKind(V2),V1,V2)) | (525) |
active#(isNat(x(V1,V2))) | → | mark#(U31(isNatKind(V1),V1,V2)) | (259) |
mark#(U36(X)) | → | mark#(X) | (333) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U31(X1,X2,X3)) | → | mark#(X1) | (327) |
mark#(U31(X1,X2,X3)) | → | active#(U31(mark(X1),X2,X3)) | (566) |
active#(U34(tt,V1,V2)) | → | mark#(U35(isNat(V1),V2)) | (441) |
mark#(U21(X1,X2)) | → | mark#(X1) | (260) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
mark#(U33(X1,X2,X3)) | → | mark#(X1) | (455) |
mark#(U33(X1,X2,X3)) | → | active#(U33(mark(X1),X2,X3)) | (274) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
mark#(U61(X1,X2)) | → | mark#(X1) | (582) |
mark#(U61(X1,X2)) | → | active#(U61(mark(X1),X2)) | (292) |
mark#(U32(X1,X2,X3)) | → | mark#(X1) | (248) |
mark#(U32(X1,X2,X3)) | → | active#(U32(mark(X1),X2,X3)) | (387) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
active#(U41(tt,V2)) | → | mark#(U42(isNatKind(V2))) | (571) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
mark#(U23(X)) | → | mark#(X) | (510) |
active#(U31(tt,V1,V2)) | → | mark#(U32(isNatKind(V1),V1,V2)) | (551) |
mark#(U13(X1,X2,X3)) | → | mark#(X1) | (446) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U41(X1,X2)) | → | active#(U41(mark(X1),X2)) | (519) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
active#(U61(tt,V2)) | → | mark#(U62(isNatKind(V2))) | (542) |
mark#(U42(X)) | → | mark#(X) | (517) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | mark#(X1) | (439) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
active#(U15(tt,V2)) | → | mark#(U16(isNat(V2))) | (527) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
active#(isNatKind(x(V1,V2))) | → | mark#(U61(isNatKind(V1),V2)) | (420) |
mark#(U35(X1,X2)) | → | mark#(X1) | (619) |
mark#(U35(X1,X2)) | → | active#(U35(mark(X1),X2)) | (610) |
mark#(U12(X1,X2,X3)) | → | mark#(X1) | (402) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
mark#(U16(X)) | → | mark#(X) | (268) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | mark#(X1) | (409) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U15(X1,X2)) | → | active#(U15(mark(X1),X2)) | (298) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
mark#(U62(X)) | → | mark#(X) | (262) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
mark#(U34(X1,X2,X3)) | → | mark#(X1) | (623) |
mark#(U34(X1,X2,X3)) | → | active#(U34(mark(X1),X2,X3)) | (577) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | max(0) |
[U32#(x1, x2, x3)] | = | max(0) |
[isNatKind(x1)] | = | 14175 |
[U16(x1)] | = | x1 + 22214 |
[U21(x1, x2)] | = | max(x1 + 2, x2 + 14178, 0) |
[U83#(x1, x2, x3)] | = | max(0) |
[U11(x1, x2, x3)] | = | max(x1 + 2, x2 + 14178, x3 + 50570, 0) |
[s(x1)] | = | x1 + 0 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 0 |
[U91(x1, x2)] | = | max(0) |
[U35#(x1, x2)] | = | max(0) |
[U101#(x1, x2, x3)] | = | max(0) |
[U82#(x1, x2, x3)] | = | max(0) |
[U104#(x1, x2, x3)] | = | max(0) |
[U71(x1, x2)] | = | max(x2 + 0, 0) |
[U81#(x1, x2, x3)] | = | max(0) |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | max(0) |
[U101(x1, x2, x3)] | = | max(x2 + 42541, x3 + 42540, 0) |
[U103(x1, x2, x3)] | = | max(x2 + 42541, x3 + 42540, 0) |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | max(x2 + 42540, x3 + 0, 0) |
[U23(x1)] | = | x1 + 0 |
[U35(x1, x2)] | = | max(x1 + 14181, x2 + 14180, 0) |
[U72(x1, x2)] | = | max(x2 + 0, 0) |
[U13#(x1, x2, x3)] | = | max(0) |
[U34(x1, x2, x3)] | = | max(x1 + 28361, x2 + 28360, x3 + 28362, 0) |
[U103#(x1, x2, x3)] | = | max(0) |
[U12(x1, x2, x3)] | = | max(x1 + 1, x2 + 14178, x3 + 50569, 0) |
[U33#(x1, x2, x3)] | = | max(0) |
[x(x1, x2)] | = | max(x1 + 42540, x2 + 42541, 0) |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | max(x2 + 42541, x3 + 42540, 0) |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | max(0) |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | max(x2 + 42540, x3 + 0, 0) |
[mark#(x1)] | = | x1 + 0 |
[0] | = | 0 |
[U14#(x1, x2, x3)] | = | max(0) |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | x1 + 1 |
[U102#(x1, x2, x3)] | = | max(0) |
[x#(x1, x2)] | = | max(0) |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 0 |
[mark(x1)] | = | x1 + 0 |
[U15#(x1, x2)] | = | max(0) |
[U32(x1, x2, x3)] | = | max(x1 + 42540, x2 + 42539, x3 + 42541, 0) |
[U33(x1, x2, x3)] | = | max(x1 + 14188, x2 + 42538, x3 + 42537, 0) |
[U34#(x1, x2, x3)] | = | max(0) |
[U14(x1, x2, x3)] | = | max(x1 + 36394, x2 + 14178, x3 + 36393, 0) |
[isNat(x1)] | = | x1 + 14178 |
[plus(x1, x2)] | = | max(x1 + 0, x2 + 42540, 0) |
[U15(x1, x2)] | = | max(x1 + 0, x2 + 36393, 0) |
[U61(x1, x2)] | = | max(x1 + 0, 0) |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | max(0) |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | max(x1 + 42542, x2 + 56717, x3 + 56716, 0) |
[U92(x1)] | = | 0 |
[U41#(x1, x2)] | = | max(0) |
[U102(x1, x2, x3)] | = | max(x1 + 12353, x2 + 42541, x3 + 42540, 0) |
[active#(x1)] | = | x1 + 0 |
[U21#(x1, x2)] | = | max(0) |
[U81(x1, x2, x3)] | = | max(x1 + 2247, x2 + 42540, x3 + 0, 0) |
[U82(x1, x2, x3)] | = | max(x1 + 2248, x2 + 42540, x3 + 0, 0) |
[U22#(x1, x2)] | = | max(0) |
[tt] | = | 14175 |
[U84#(x1, x2, x3)] | = | max(0) |
[U71#(x1, x2)] | = | max(0) |
[U13(x1, x2, x3)] | = | max(x1 + 36394, x2 + 14178, x3 + 36393, 0) |
[U22(x1, x2)] | = | max(x1 + 1, x2 + 14178, 0) |
[U51(x1)] | = | x1 + 0 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | max(x1 + 0, 0) |
[U31#(x1, x2, x3)] | = | max(0) |
[U91#(x1, x2)] | = | max(0) |
[U61#(x1, x2)] | = | max(0) |
There are 243 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsactive#(U35(tt,V2)) | → | mark#(U36(isNat(V2))) | (479) |
active#(U32(tt,V1,V2)) | → | mark#(U33(isNatKind(V2),V1,V2)) | (301) |
mark#(U11(X1,X2,X3)) | → | mark#(X1) | (397) |
active#(U33(tt,V1,V2)) | → | mark#(U34(isNatKind(V2),V1,V2)) | (525) |
active#(isNat(x(V1,V2))) | → | mark#(U31(isNatKind(V1),V1,V2)) | (259) |
mark#(U36(X)) | → | mark#(X) | (333) |
mark#(U31(X1,X2,X3)) | → | mark#(X1) | (327) |
active#(U34(tt,V1,V2)) | → | mark#(U35(isNat(V1),V2)) | (441) |
mark#(U21(X1,X2)) | → | mark#(X1) | (260) |
mark#(U33(X1,X2,X3)) | → | mark#(X1) | (455) |
mark#(U32(X1,X2,X3)) | → | mark#(X1) | (248) |
active#(U31(tt,V1,V2)) | → | mark#(U32(isNatKind(V1),V1,V2)) | (551) |
mark#(U13(X1,X2,X3)) | → | mark#(X1) | (446) |
mark#(U14(X1,X2,X3)) | → | mark#(X1) | (439) |
active#(U15(tt,V2)) | → | mark#(U16(isNat(V2))) | (527) |
mark#(U35(X1,X2)) | → | mark#(X1) | (619) |
mark#(U12(X1,X2,X3)) | → | mark#(X1) | (402) |
mark#(U16(X)) | → | mark#(X) | (268) |
mark#(U22(X1,X2)) | → | mark#(X1) | (409) |
mark#(U34(X1,X2,X3)) | → | mark#(X1) | (623) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
mark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U31(X1,X2,X3)) | → | active#(U31(mark(X1),X2,X3)) | (566) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
mark#(U33(X1,X2,X3)) | → | active#(U33(mark(X1),X2,X3)) | (274) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
mark#(U61(X1,X2)) | → | mark#(X1) | (582) |
mark#(U61(X1,X2)) | → | active#(U61(mark(X1),X2)) | (292) |
mark#(U32(X1,X2,X3)) | → | active#(U32(mark(X1),X2,X3)) | (387) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
active#(U41(tt,V2)) | → | mark#(U42(isNatKind(V2))) | (571) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U41(X1,X2)) | → | active#(U41(mark(X1),X2)) | (519) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
active#(U61(tt,V2)) | → | mark#(U62(isNatKind(V2))) | (542) |
mark#(U42(X)) | → | mark#(X) | (517) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
active#(isNatKind(x(V1,V2))) | → | mark#(U61(isNatKind(V1),V2)) | (420) |
mark#(U35(X1,X2)) | → | active#(U35(mark(X1),X2)) | (610) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U15(X1,X2)) | → | active#(U15(mark(X1),X2)) | (298) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
mark#(U62(X)) | → | mark#(X) | (262) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
mark#(U34(X1,X2,X3)) | → | active#(U34(mark(X1),X2,X3)) | (577) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 30361 |
[U16(x1)] | = | 30363 |
[U21(x1, x2)] | = | 30361 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 30361 |
[s(x1)] | = | 30361 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 30363 |
[U91(x1, x2)] | = | 30363 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 30361 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 30361 |
[U103(x1, x2, x3)] | = | 30361 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 30361 |
[U23(x1)] | = | 30363 |
[U35(x1, x2)] | = | 1 |
[U72(x1, x2)] | = | 30361 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 30360 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 30361 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 30361 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 30361 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 30361 |
[mark#(x1)] | = | 49080 |
[0] | = | 0 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 30363 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 30363 |
[mark(x1)] | = | x1 + 0 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | 30360 |
[U33(x1, x2, x3)] | = | 30360 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 30361 |
[isNat(x1)] | = | 30361 |
[plus(x1, x2)] | = | 30361 |
[U15(x1, x2)] | = | 30360 |
[U61(x1, x2)] | = | 30361 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | 30362 |
[U31(x1, x2, x3)] | = | 16458 |
[U92(x1)] | = | 30363 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 30361 |
[active#(x1)] | = | x1 + 18719 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 30361 |
[U82(x1, x2, x3)] | = | 30361 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 30363 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 30361 |
[U22(x1, x2)] | = | 30361 |
[U51(x1)] | = | 30363 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 30361 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(U31(X1,X2,X3)) | → | active#(U31(mark(X1),X2,X3)) | (566) |
mark#(U33(X1,X2,X3)) | → | active#(U33(mark(X1),X2,X3)) | (274) |
mark#(U32(X1,X2,X3)) | → | active#(U32(mark(X1),X2,X3)) | (387) |
mark#(U35(X1,X2)) | → | active#(U35(mark(X1),X2)) | (610) |
mark#(U15(X1,X2)) | → | active#(U15(mark(X1),X2)) | (298) |
mark#(U34(X1,X2,X3)) | → | active#(U34(mark(X1),X2,X3)) | (577) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
mark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
mark#(U61(X1,X2)) | → | mark#(X1) | (582) |
mark#(U61(X1,X2)) | → | active#(U61(mark(X1),X2)) | (292) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
active#(U41(tt,V2)) | → | mark#(U42(isNatKind(V2))) | (571) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U41(X1,X2)) | → | active#(U41(mark(X1),X2)) | (519) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
active#(U61(tt,V2)) | → | mark#(U62(isNatKind(V2))) | (542) |
mark#(U42(X)) | → | mark#(X) | (517) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
active#(isNatKind(x(V1,V2))) | → | mark#(U61(isNatKind(V1),V2)) | (420) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
mark#(U62(X)) | → | mark#(X) | (262) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | max(0) |
[U32#(x1, x2, x3)] | = | max(0) |
[isNatKind(x1)] | = | x1 + 0 |
[U16(x1)] | = | 1 |
[U21(x1, x2)] | = | max(x2 + 41004, 0) |
[U83#(x1, x2, x3)] | = | max(0) |
[U11(x1, x2, x3)] | = | max(x1 + 12296, x2 + 41004, x3 + 16593, 0) |
[s(x1)] | = | x1 + 0 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 0 |
[U91(x1, x2)] | = | max(0) |
[U35#(x1, x2)] | = | max(0) |
[U101#(x1, x2, x3)] | = | max(0) |
[U82#(x1, x2, x3)] | = | max(0) |
[U104#(x1, x2, x3)] | = | max(0) |
[U71(x1, x2)] | = | max(x2 + 0, 0) |
[U81#(x1, x2, x3)] | = | max(0) |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | max(0) |
[U101(x1, x2, x3)] | = | max(x2 + 1500, x3 + 0, 0) |
[U103(x1, x2, x3)] | = | max(x2 + 1500, x3 + 0, 0) |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | max(x2 + 0, x3 + 0, 0) |
[U23(x1)] | = | x1 + 0 |
[U35(x1, x2)] | = | max(0) |
[U72(x1, x2)] | = | max(x2 + 0, 0) |
[U13#(x1, x2, x3)] | = | max(0) |
[U34(x1, x2, x3)] | = | max(0) |
[U103#(x1, x2, x3)] | = | max(0) |
[U12(x1, x2, x3)] | = | max(x2 + 41004, x3 + 16593, 0) |
[U33#(x1, x2, x3)] | = | max(0) |
[x(x1, x2)] | = | max(x1 + 0, x2 + 1500, 0) |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | max(x2 + 1500, x3 + 0, 0) |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | max(0) |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | max(x2 + 0, x3 + 0, 0) |
[mark#(x1)] | = | x1 + 0 |
[0] | = | 0 |
[U14#(x1, x2, x3)] | = | max(0) |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 0 |
[U102#(x1, x2, x3)] | = | max(0) |
[x#(x1, x2)] | = | max(0) |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 0 |
[mark(x1)] | = | x1 + 0 |
[U15#(x1, x2)] | = | max(0) |
[U32(x1, x2, x3)] | = | max(0) |
[U33(x1, x2, x3)] | = | max(0) |
[U34#(x1, x2, x3)] | = | max(0) |
[U14(x1, x2, x3)] | = | max(x1 + 4527, x2 + 41004, x3 + 4528, 0) |
[isNat(x1)] | = | x1 + 41004 |
[plus(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U15(x1, x2)] | = | max(x1 + 0, x2 + 1, 0) |
[U61(x1, x2)] | = | max(x1 + 0, x2 + 1, 0) |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | max(0) |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | max(x2 + 1, 0) |
[U92(x1)] | = | 0 |
[U41#(x1, x2)] | = | max(0) |
[U102(x1, x2, x3)] | = | max(x2 + 1500, x3 + 0, 0) |
[active#(x1)] | = | x1 + 0 |
[U21#(x1, x2)] | = | max(0) |
[U81(x1, x2, x3)] | = | max(x2 + 0, x3 + 0, 0) |
[U82(x1, x2, x3)] | = | max(x2 + 0, x3 + 0, 0) |
[U22#(x1, x2)] | = | max(0) |
[tt] | = | 0 |
[U84#(x1, x2, x3)] | = | max(0) |
[U71#(x1, x2)] | = | max(0) |
[U13(x1, x2, x3)] | = | max(x2 + 41004, x3 + 4528, 0) |
[U22(x1, x2)] | = | max(x2 + 41004, 0) |
[U51(x1)] | = | x1 + 0 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U31#(x1, x2, x3)] | = | max(0) |
[U91#(x1, x2)] | = | max(0) |
[U61#(x1, x2)] | = | max(0) |
There are 243 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairactive#(U61(tt,V2)) | → | mark#(U62(isNatKind(V2))) | (542) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
mark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
mark#(U61(X1,X2)) | → | mark#(X1) | (582) |
mark#(U61(X1,X2)) | → | active#(U61(mark(X1),X2)) | (292) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
active#(U41(tt,V2)) | → | mark#(U42(isNatKind(V2))) | (571) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U41(X1,X2)) | → | active#(U41(mark(X1),X2)) | (519) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U42(X)) | → | mark#(X) | (517) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
active#(isNatKind(x(V1,V2))) | → | mark#(U61(isNatKind(V1),V2)) | (420) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
mark#(U62(X)) | → | mark#(X) | (262) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 17700 |
[U16(x1)] | = | 17704 |
[U21(x1, x2)] | = | 17700 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 17700 |
[s(x1)] | = | 17702 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 17702 |
[U91(x1, x2)] | = | x2 + 17702 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 17700 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 17700 |
[U103(x1, x2, x3)] | = | 17700 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 17700 |
[U23(x1)] | = | 17702 |
[U35(x1, x2)] | = | x2 + 17710 |
[U72(x1, x2)] | = | 17700 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 17708 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 17700 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 17700 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 17700 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 17700 |
[mark#(x1)] | = | 18719 |
[0] | = | 17706 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 17712 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 1426 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 17704 |
[U33(x1, x2, x3)] | = | x3 + 17706 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 17700 |
[isNat(x1)] | = | 17700 |
[plus(x1, x2)] | = | 17700 |
[U15(x1, x2)] | = | x2 + 17702 |
[U61(x1, x2)] | = | 1424 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x3 + 17702 |
[U92(x1)] | = | 17704 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 17700 |
[active#(x1)] | = | x1 + 1019 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 17700 |
[U82(x1, x2, x3)] | = | 17700 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 17714 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 17700 |
[U22(x1, x2)] | = | 17700 |
[U51(x1)] | = | 17702 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 17700 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairmark#(U61(X1,X2)) | → | active#(U61(mark(X1),X2)) | (292) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
mark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
mark#(U61(X1,X2)) | → | mark#(X1) | (582) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
active#(U41(tt,V2)) | → | mark#(U42(isNatKind(V2))) | (571) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U41(X1,X2)) | → | active#(U41(mark(X1),X2)) | (519) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U42(X)) | → | mark#(X) | (517) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
active#(isNatKind(x(V1,V2))) | → | mark#(U61(isNatKind(V1),V2)) | (420) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
mark#(U62(X)) | → | mark#(X) | (262) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | max(0) |
[U32#(x1, x2, x3)] | = | max(0) |
[isNatKind(x1)] | = | x1 + 0 |
[U16(x1)] | = | 0 |
[U21(x1, x2)] | = | max(0) |
[U83#(x1, x2, x3)] | = | max(0) |
[U11(x1, x2, x3)] | = | max(0) |
[s(x1)] | = | x1 + 0 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 6608 |
[U91(x1, x2)] | = | max(0) |
[U35#(x1, x2)] | = | max(0) |
[U101#(x1, x2, x3)] | = | max(0) |
[U82#(x1, x2, x3)] | = | max(0) |
[U104#(x1, x2, x3)] | = | max(0) |
[U71(x1, x2)] | = | max(x2 + 0, 0) |
[U81#(x1, x2, x3)] | = | max(0) |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | max(0) |
[U101(x1, x2, x3)] | = | max(x1 + 6613, x2 + 6613, x3 + 6611, 0) |
[U103(x1, x2, x3)] | = | max(x1 + 6612, x2 + 6613, x3 + 6611, 0) |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | max(x2 + 6610, x3 + 0, 0) |
[U23(x1)] | = | x1 + 0 |
[U35(x1, x2)] | = | max(0) |
[U72(x1, x2)] | = | max(x2 + 0, 0) |
[U13#(x1, x2, x3)] | = | max(0) |
[U34(x1, x2, x3)] | = | max(0) |
[U103#(x1, x2, x3)] | = | max(0) |
[U12(x1, x2, x3)] | = | max(0) |
[U33#(x1, x2, x3)] | = | max(0) |
[x(x1, x2)] | = | max(x1 + 6611, x2 + 6613, 0) |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | max(x2 + 6613, x3 + 6611, 0) |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | max(0) |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | max(x2 + 6610, x3 + 0, 0) |
[mark#(x1)] | = | x1 + 0 |
[0] | = | 0 |
[U14#(x1, x2, x3)] | = | max(0) |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 0 |
[U102#(x1, x2, x3)] | = | max(0) |
[x#(x1, x2)] | = | max(0) |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 6610 |
[mark(x1)] | = | x1 + 0 |
[U15#(x1, x2)] | = | max(0) |
[U32(x1, x2, x3)] | = | max(0) |
[U33(x1, x2, x3)] | = | max(0) |
[U34#(x1, x2, x3)] | = | max(0) |
[U14(x1, x2, x3)] | = | max(0) |
[isNat(x1)] | = | 0 |
[plus(x1, x2)] | = | max(x1 + 0, x2 + 6610, 0) |
[U15(x1, x2)] | = | max(x1 + 0, 0) |
[U61(x1, x2)] | = | max(x1 + 1881, x2 + 6610, 0) |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | max(0) |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | max(0) |
[U92(x1)] | = | 0 |
[U41#(x1, x2)] | = | max(0) |
[U102(x1, x2, x3)] | = | max(x2 + 6613, x3 + 6611, 0) |
[active#(x1)] | = | x1 + 0 |
[U21#(x1, x2)] | = | max(0) |
[U81(x1, x2, x3)] | = | max(x2 + 6610, x3 + 0, 0) |
[U82(x1, x2, x3)] | = | max(x2 + 6610, x3 + 0, 0) |
[U22#(x1, x2)] | = | max(0) |
[tt] | = | 0 |
[U84#(x1, x2, x3)] | = | max(0) |
[U71#(x1, x2)] | = | max(0) |
[U13(x1, x2, x3)] | = | max(0) |
[U22(x1, x2)] | = | max(0) |
[U51(x1)] | = | x1 + 0 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | max(x1 + 0, x2 + 6609, 0) |
[U31#(x1, x2, x3)] | = | max(0) |
[U91#(x1, x2)] | = | max(0) |
[U61#(x1, x2)] | = | max(0) |
There are 243 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(U61(X1,X2)) | → | mark#(X1) | (582) |
active#(U41(tt,V2)) | → | mark#(U42(isNatKind(V2))) | (571) |
mark#(U42(X)) | → | mark#(X) | (517) |
active#(isNatKind(x(V1,V2))) | → | mark#(U61(isNatKind(V1),V2)) | (420) |
mark#(U62(X)) | → | mark#(X) | (262) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
mark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U41(X1,X2)) | → | active#(U41(mark(X1),X2)) | (519) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 28988 |
[U16(x1)] | = | 28992 |
[U21(x1, x2)] | = | 28988 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 28988 |
[s(x1)] | = | 28990 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 28989 |
[U91(x1, x2)] | = | x2 + 28990 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 28988 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 28988 |
[U103(x1, x2, x3)] | = | 28988 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 28988 |
[U23(x1)] | = | 28990 |
[U35(x1, x2)] | = | x2 + 28998 |
[U72(x1, x2)] | = | 28988 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + 28996 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 28988 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 28988 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 28988 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 28988 |
[mark#(x1)] | = | 47707 |
[0] | = | 28994 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 29000 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 28992 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 28992 |
[U33(x1, x2, x3)] | = | x3 + 28994 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 28988 |
[isNat(x1)] | = | 28988 |
[plus(x1, x2)] | = | 28988 |
[U15(x1, x2)] | = | x2 + 28990 |
[U61(x1, x2)] | = | x2 + 28990 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x3 + 28990 |
[U92(x1)] | = | 28992 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 28988 |
[active#(x1)] | = | x1 + 18719 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 28988 |
[U82(x1, x2, x3)] | = | 28988 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 29002 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 28988 |
[U22(x1, x2)] | = | 28988 |
[U51(x1)] | = | 28990 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 28987 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairmark#(U41(X1,X2)) | → | active#(U41(mark(X1),X2)) | (519) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
mark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
π(U16) | = | 1 |
π(U11) | = | 1 |
π(isNat#) | = | 1 |
π(U81#) | = | 1 |
π(U23) | = | 1 |
π(U35) | = | 1 |
π(U72) | = | 2 |
π(U34) | = | 1 |
π(U12) | = | 1 |
π(U33#) | = | 1 |
π(U16#) | = | 1 |
π(mark#) | = | 1 |
π(U14#) | = | 2 |
π(U36) | = | 1 |
π(mark) | = | 1 |
π(U15#) | = | 2 |
π(U33) | = | 1 |
π(U14) | = | 1 |
π(U15) | = | 1 |
π(U61) | = | 1 |
π(active) | = | 1 |
π(U31) | = | 1 |
π(U41#) | = | 1 |
π(active#) | = | 1 |
π(U13) | = | 1 |
π(U22) | = | 1 |
π(U51) | = | 1 |
π(U41) | = | 1 |
prec(U72#) | = | 0 | status(U72#) | = | [1, 2] | list-extension(U72#) | = | Lex | ||
prec(U32#) | = | 0 | status(U32#) | = | [2, 3] | list-extension(U32#) | = | Lex | ||
prec(isNatKind) | = | 1 | status(isNatKind) | = | [] | list-extension(isNatKind) | = | Lex | ||
prec(U21) | = | 1 | status(U21) | = | [] | list-extension(U21) | = | Lex | ||
prec(U83#) | = | 0 | status(U83#) | = | [] | list-extension(U83#) | = | Lex | ||
prec(s) | = | 1 | status(s) | = | [1] | list-extension(s) | = | Lex | ||
prec(U42) | = | 1 | status(U42) | = | [] | list-extension(U42) | = | Lex | ||
prec(U91) | = | 4 | status(U91) | = | [1, 2] | list-extension(U91) | = | Lex | ||
prec(U35#) | = | 0 | status(U35#) | = | [2, 1] | list-extension(U35#) | = | Lex | ||
prec(U101#) | = | 0 | status(U101#) | = | [3, 2] | list-extension(U101#) | = | Lex | ||
prec(U82#) | = | 0 | status(U82#) | = | [1, 3] | list-extension(U82#) | = | Lex | ||
prec(U104#) | = | 0 | status(U104#) | = | [2, 1, 3] | list-extension(U104#) | = | Lex | ||
prec(U71) | = | 1 | status(U71) | = | [1, 2] | list-extension(U71) | = | Lex | ||
prec(U92#) | = | 0 | status(U92#) | = | [] | list-extension(U92#) | = | Lex | ||
prec(plus#) | = | 0 | status(plus#) | = | [1, 2] | list-extension(plus#) | = | Lex | ||
prec(U101) | = | 5 | status(U101) | = | [3, 2, 1] | list-extension(U101) | = | Lex | ||
prec(U103) | = | 5 | status(U103) | = | [3, 2, 1] | list-extension(U103) | = | Lex | ||
prec(U23#) | = | 0 | status(U23#) | = | [] | list-extension(U23#) | = | Lex | ||
prec(U84) | = | 2 | status(U84) | = | [2, 3, 1] | list-extension(U84) | = | Lex | ||
prec(U13#) | = | 0 | status(U13#) | = | [1, 3] | list-extension(U13#) | = | Lex | ||
prec(U103#) | = | 0 | status(U103#) | = | [1, 2, 3] | list-extension(U103#) | = | Lex | ||
prec(x) | = | 5 | status(x) | = | [1, 2] | list-extension(x) | = | Lex | ||
prec(U104) | = | 5 | status(U104) | = | [3, 2, 1] | list-extension(U104) | = | Lex | ||
prec(U42#) | = | 0 | status(U42#) | = | [] | list-extension(U42#) | = | Lex | ||
prec(U12#) | = | 0 | status(U12#) | = | [1, 2] | list-extension(U12#) | = | Lex | ||
prec(U62#) | = | 0 | status(U62#) | = | [] | list-extension(U62#) | = | Lex | ||
prec(U83) | = | 2 | status(U83) | = | [2, 3, 1] | list-extension(U83) | = | Lex | ||
prec(0) | = | 0 | status(0) | = | [] | list-extension(0) | = | Lex | ||
prec(U36#) | = | 0 | status(U36#) | = | [] | list-extension(U36#) | = | Lex | ||
prec(U102#) | = | 0 | status(U102#) | = | [3, 1, 2] | list-extension(U102#) | = | Lex | ||
prec(x#) | = | 0 | status(x#) | = | [2, 1] | list-extension(x#) | = | Lex | ||
prec(s#) | = | 0 | status(s#) | = | [] | list-extension(s#) | = | Lex | ||
prec(U62) | = | 1 | status(U62) | = | [] | list-extension(U62) | = | Lex | ||
prec(U32) | = | 1 | status(U32) | = | [] | list-extension(U32) | = | Lex | ||
prec(U34#) | = | 0 | status(U34#) | = | [1, 3] | list-extension(U34#) | = | Lex | ||
prec(isNat) | = | 1 | status(isNat) | = | [] | list-extension(isNat) | = | Lex | ||
prec(plus) | = | 2 | status(plus) | = | [2, 1] | list-extension(plus) | = | Lex | ||
prec(U51#) | = | 0 | status(U51#) | = | [] | list-extension(U51#) | = | Lex | ||
prec(U11#) | = | 0 | status(U11#) | = | [3, 1] | list-extension(U11#) | = | Lex | ||
prec(U92) | = | 4 | status(U92) | = | [1] | list-extension(U92) | = | Lex | ||
prec(U102) | = | 5 | status(U102) | = | [3, 2, 1] | list-extension(U102) | = | Lex | ||
prec(U21#) | = | 0 | status(U21#) | = | [2, 1] | list-extension(U21#) | = | Lex | ||
prec(U81) | = | 2 | status(U81) | = | [2, 3, 1] | list-extension(U81) | = | Lex | ||
prec(U82) | = | 2 | status(U82) | = | [2, 3, 1] | list-extension(U82) | = | Lex | ||
prec(U22#) | = | 0 | status(U22#) | = | [2, 1] | list-extension(U22#) | = | Lex | ||
prec(tt) | = | 1 | status(tt) | = | [] | list-extension(tt) | = | Lex | ||
prec(U84#) | = | 0 | status(U84#) | = | [3, 2, 1] | list-extension(U84#) | = | Lex | ||
prec(U71#) | = | 0 | status(U71#) | = | [] | list-extension(U71#) | = | Lex | ||
prec(isNatKind#) | = | 0 | status(isNatKind#) | = | [] | list-extension(isNatKind#) | = | Lex | ||
prec(U31#) | = | 0 | status(U31#) | = | [2, 1, 3] | list-extension(U31#) | = | Lex | ||
prec(U91#) | = | 0 | status(U91#) | = | [] | list-extension(U91#) | = | Lex | ||
prec(U61#) | = | 0 | status(U61#) | = | [2, 1] | list-extension(U61#) | = | Lex |
[U72#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U32#(x1, x2, x3)] | = | max(x2 + 0, x3 + 0, 0) |
[isNatKind(x1)] | = | 0 |
[U21(x1, x2)] | = | max(0) |
[U83#(x1, x2, x3)] | = | max(0) |
[s(x1)] | = | x1 + 0 |
[U42(x1)] | = | 0 |
[U91(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U35#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U101#(x1, x2, x3)] | = | max(x2 + 0, x3 + 0, 0) |
[U82#(x1, x2, x3)] | = | max(x1 + 0, x3 + 0, 0) |
[U104#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U71(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U101(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U103(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U13#(x1, x2, x3)] | = | max(x1 + 0, x3 + 0, 0) |
[U103#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[x(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U104(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, 0) |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[0] | = | 0 |
[U36#(x1)] | = | 0 |
[U102#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[x#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 0 |
[U32(x1, x2, x3)] | = | max(0) |
[U34#(x1, x2, x3)] | = | max(x1 + 0, x3 + 0, 0) |
[isNat(x1)] | = | 0 |
[plus(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | max(x1 + 0, x3 + 0, 0) |
[U92(x1)] | = | x1 + 0 |
[U102(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U21#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U81(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U82(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U22#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[tt] | = | 0 |
[U84#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U71#(x1, x2)] | = | max(0) |
[isNatKind#(x1)] | = | 0 |
[U31#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U91#(x1, x2)] | = | max(0) |
[U61#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
There are 243 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(s(X)) | → | mark#(X) | (557) |
active#(U104(tt,M,N)) | → | mark#(plus(x(N,M),N)) | (586) |
active#(x(N,s(M))) | → | mark#(U101(isNat(M),M,N)) | (351) |
active#(U71(tt,N)) | → | mark#(U72(isNatKind(N),N)) | (419) |
mark#(plus(X1,X2)) | → | mark#(X1) | (399) |
active#(U84(tt,M,N)) | → | mark#(s(plus(N,M))) | (590) |
active#(plus(N,0)) | → | mark#(U71(isNat(N),N)) | (424) |
active#(plus(N,s(M))) | → | mark#(U81(isNat(M),M,N)) | (490) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 31716 |
[U16(x1)] | = | 14911 |
[U21(x1, x2)] | = | 31716 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 31716 |
[s(x1)] | = | 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 16224 |
[U91(x1, x2)] | = | 2953 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 8257 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 31716 |
[U103(x1, x2, x3)] | = | 31716 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 10252 |
[U23(x1)] | = | 1 |
[U35(x1, x2)] | = | 32217 |
[U72(x1, x2)] | = | 31716 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 14273 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 31716 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 12816 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 31716 |
[mark#(x1)] | = | 79423 |
[0] | = | 32062 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 5841 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 7280 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | 2427 |
[U33(x1, x2, x3)] | = | 10709 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 31716 |
[isNat(x1)] | = | 31716 |
[plus(x1, x2)] | = | 11971 |
[U15(x1, x2)] | = | 22712 |
[U61(x1, x2)] | = | 12429 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | 3 |
[U31(x1, x2, x3)] | = | 26662 |
[U92(x1)] | = | 1 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 31716 |
[active#(x1)] | = | x1 + 47707 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 31716 |
[U82(x1, x2, x3)] | = | 31716 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 31716 |
[U22(x1, x2)] | = | 31716 |
[U51(x1)] | = | 896 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 11445 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(plus(X1,X2)) | → | active#(plus(mark(X1),mark(X2))) | (531) |
mark#(U84(X1,X2,X3)) | → | active#(U84(mark(X1),X2,X3)) | (449) |
mark#(U104(X1,X2,X3)) | → | active#(U104(mark(X1),X2,X3)) | (308) |
mark#(U71(X1,X2)) | → | active#(U71(mark(X1),X2)) | (342) |
mark#(x(X1,X2)) | → | active#(x(mark(X1),mark(X2))) | (430) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | max(0) |
[U32#(x1, x2, x3)] | = | max(0) |
[isNatKind(x1)] | = | 1 |
[U16(x1)] | = | x1 + 0 |
[U21(x1, x2)] | = | max(x1 + 0, 0) |
[U83#(x1, x2, x3)] | = | max(0) |
[U11(x1, x2, x3)] | = | max(x1 + 0, 0) |
[s(x1)] | = | 0 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 1 |
[U91(x1, x2)] | = | max(x2 + 1, 0) |
[U35#(x1, x2)] | = | max(0) |
[U101#(x1, x2, x3)] | = | max(0) |
[U82#(x1, x2, x3)] | = | max(0) |
[U104#(x1, x2, x3)] | = | max(0) |
[U71(x1, x2)] | = | max(x1 + 1, x2 + 0, 0) |
[U81#(x1, x2, x3)] | = | max(0) |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | max(0) |
[U101(x1, x2, x3)] | = | max(x1 + 8858, x3 + 8860, 0) |
[U103(x1, x2, x3)] | = | max(x1 + 8858, x3 + 8860, 0) |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | max(0) |
[U23(x1)] | = | x1 + 0 |
[U35(x1, x2)] | = | max(x1 + 0, 0) |
[U72(x1, x2)] | = | max(x1 + 1, x2 + 0, 0) |
[U13#(x1, x2, x3)] | = | max(0) |
[U34(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U103#(x1, x2, x3)] | = | max(0) |
[U12(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U33#(x1, x2, x3)] | = | max(0) |
[x(x1, x2)] | = | max(x1 + 8860, 0) |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | max(x3 + 8860, 0) |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | max(0) |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | max(x1 + 5860, 0) |
[mark#(x1)] | = | x1 + 0 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | max(0) |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | x1 + 0 |
[U102#(x1, x2, x3)] | = | max(0) |
[x#(x1, x2)] | = | max(0) |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 0 |
[mark(x1)] | = | x1 + 0 |
[U15#(x1, x2)] | = | max(0) |
[U32(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U33(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U34#(x1, x2, x3)] | = | max(0) |
[U14(x1, x2, x3)] | = | max(x1 + 0, 0) |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | max(x1 + 0, x2 + 5863, 0) |
[U15(x1, x2)] | = | max(x1 + 0, 0) |
[U61(x1, x2)] | = | max(x1 + 0, 0) |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | max(0) |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U92(x1)] | = | 1 |
[U41#(x1, x2)] | = | max(0) |
[U102(x1, x2, x3)] | = | max(x1 + 8857, x3 + 8860, 0) |
[active#(x1)] | = | x1 + 0 |
[U21#(x1, x2)] | = | max(0) |
[U81(x1, x2, x3)] | = | max(x1 + 5862, x3 + 0, 0) |
[U82(x1, x2, x3)] | = | max(x1 + 5861, 0) |
[U22#(x1, x2)] | = | max(0) |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | max(0) |
[U71#(x1, x2)] | = | max(0) |
[U13(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U22(x1, x2)] | = | max(x1 + 0, 0) |
[U51(x1)] | = | x1 + 0 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | max(x1 + 0, 0) |
[U31#(x1, x2, x3)] | = | max(0) |
[U91#(x1, x2)] | = | max(0) |
[U61#(x1, x2)] | = | max(0) |
There are 243 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsactive#(U81(tt,M,N)) | → | mark#(U82(isNatKind(M),M,N)) | (463) |
active#(U82(tt,M,N)) | → | mark#(U83(isNat(N),M,N)) | (314) |
active#(U83(tt,M,N)) | → | mark#(U84(isNatKind(N),M,N)) | (596) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 2 |
[U16(x1)] | = | 1 |
[U21(x1, x2)] | = | 2 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 2 |
[s(x1)] | = | 31422 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 26188 |
[U91(x1, x2)] | = | 2 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 16201 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 2 |
[U103(x1, x2, x3)] | = | 2 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 1 |
[U23(x1)] | = | 4 |
[U35(x1, x2)] | = | 2 |
[U72(x1, x2)] | = | 2 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 2 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 2 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 2 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 1 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 1 |
[mark#(x1)] | = | 47707 |
[0] | = | 4 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 1 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 2 |
[mark(x1)] | = | 3 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | 1 |
[U33(x1, x2, x3)] | = | 1 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 2 |
[isNat(x1)] | = | 2 |
[plus(x1, x2)] | = | 2 |
[U15(x1, x2)] | = | 1 |
[U61(x1, x2)] | = | 2 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | 2 |
[U92(x1)] | = | 4 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 2 |
[active#(x1)] | = | x1 + 47705 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 1 |
[U82(x1, x2, x3)] | = | 1 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 13330 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 2 |
[U22(x1, x2)] | = | 2 |
[U51(x1)] | = | 13928 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 2 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(U82(X1,X2,X3)) | → | active#(U82(mark(X1),X2,X3)) | (249) |
mark#(U83(X1,X2,X3)) | → | active#(U83(mark(X1),X2,X3)) | (598) |
mark#(U81(X1,X2,X3)) | → | active#(U81(mark(X1),X2,X3)) | (574) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
active#(U72(tt,N)) | → | mark#(N) | (355) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
π(isNat#) | = | 1 |
π(U101) | = | 3 |
π(U103) | = | 3 |
π(U84) | = | 3 |
π(U23) | = | 1 |
π(U35) | = | 2 |
π(U33#) | = | 1 |
π(U16#) | = | 1 |
π(U104) | = | 3 |
π(U14#) | = | 2 |
π(mark) | = | 1 |
π(U15#) | = | 2 |
π(U15) | = | 1 |
π(U61) | = | 1 |
π(active) | = | 1 |
π(U31) | = | 1 |
π(U41#) | = | 1 |
π(U102) | = | 3 |
π(U82) | = | 2 |
π(U51) | = | 1 |
π(U41) | = | 1 |
prec(U72#) | = | 0 | status(U72#) | = | [1, 2] | list-extension(U72#) | = | Lex | ||
prec(U32#) | = | 0 | status(U32#) | = | [2, 3] | list-extension(U32#) | = | Lex | ||
prec(isNatKind) | = | 1 | status(isNatKind) | = | [] | list-extension(isNatKind) | = | Lex | ||
prec(U16) | = | 6 | status(U16) | = | [1] | list-extension(U16) | = | Lex | ||
prec(U21) | = | 2 | status(U21) | = | [] | list-extension(U21) | = | Lex | ||
prec(U83#) | = | 0 | status(U83#) | = | [] | list-extension(U83#) | = | Lex | ||
prec(U11) | = | 2 | status(U11) | = | [] | list-extension(U11) | = | Lex | ||
prec(s) | = | 3 | status(s) | = | [1] | list-extension(s) | = | Lex | ||
prec(U42) | = | 7 | status(U42) | = | [] | list-extension(U42) | = | Lex | ||
prec(U91) | = | 8 | status(U91) | = | [1, 2] | list-extension(U91) | = | Lex | ||
prec(U35#) | = | 0 | status(U35#) | = | [2, 1] | list-extension(U35#) | = | Lex | ||
prec(U101#) | = | 0 | status(U101#) | = | [3, 2] | list-extension(U101#) | = | Lex | ||
prec(U82#) | = | 0 | status(U82#) | = | [1, 3] | list-extension(U82#) | = | Lex | ||
prec(U104#) | = | 0 | status(U104#) | = | [2, 1, 3] | list-extension(U104#) | = | Lex | ||
prec(U71) | = | 1 | status(U71) | = | [] | list-extension(U71) | = | Lex | ||
prec(U81#) | = | 0 | status(U81#) | = | [] | list-extension(U81#) | = | Lex | ||
prec(U92#) | = | 0 | status(U92#) | = | [] | list-extension(U92#) | = | Lex | ||
prec(plus#) | = | 0 | status(plus#) | = | [1, 2] | list-extension(plus#) | = | Lex | ||
prec(U23#) | = | 0 | status(U23#) | = | [] | list-extension(U23#) | = | Lex | ||
prec(U72) | = | 3 | status(U72) | = | [2] | list-extension(U72) | = | Lex | ||
prec(U13#) | = | 0 | status(U13#) | = | [1, 2] | list-extension(U13#) | = | Lex | ||
prec(U34) | = | 2 | status(U34) | = | [2, 1, 3] | list-extension(U34) | = | Lex | ||
prec(U103#) | = | 0 | status(U103#) | = | [1, 2, 3] | list-extension(U103#) | = | Lex | ||
prec(U12) | = | 2 | status(U12) | = | [] | list-extension(U12) | = | Lex | ||
prec(x) | = | 12 | status(x) | = | [] | list-extension(x) | = | Lex | ||
prec(U42#) | = | 0 | status(U42#) | = | [] | list-extension(U42#) | = | Lex | ||
prec(U12#) | = | 0 | status(U12#) | = | [1, 2] | list-extension(U12#) | = | Lex | ||
prec(U62#) | = | 0 | status(U62#) | = | [] | list-extension(U62#) | = | Lex | ||
prec(U83) | = | 0 | status(U83) | = | [2] | list-extension(U83) | = | Lex | ||
prec(mark#) | = | 4 | status(mark#) | = | [1] | list-extension(mark#) | = | Lex | ||
prec(0) | = | 0 | status(0) | = | [] | list-extension(0) | = | Lex | ||
prec(U36#) | = | 0 | status(U36#) | = | [] | list-extension(U36#) | = | Lex | ||
prec(U36) | = | 10 | status(U36) | = | [1] | list-extension(U36) | = | Lex | ||
prec(U102#) | = | 0 | status(U102#) | = | [3, 1, 2] | list-extension(U102#) | = | Lex | ||
prec(x#) | = | 0 | status(x#) | = | [2, 1] | list-extension(x#) | = | Lex | ||
prec(s#) | = | 0 | status(s#) | = | [] | list-extension(s#) | = | Lex | ||
prec(U62) | = | 7 | status(U62) | = | [] | list-extension(U62) | = | Lex | ||
prec(U32) | = | 1 | status(U32) | = | [1] | list-extension(U32) | = | Lex | ||
prec(U33) | = | 2 | status(U33) | = | [1] | list-extension(U33) | = | Lex | ||
prec(U34#) | = | 0 | status(U34#) | = | [1, 3] | list-extension(U34#) | = | Lex | ||
prec(U14) | = | 2 | status(U14) | = | [] | list-extension(U14) | = | Lex | ||
prec(isNat) | = | 2 | status(isNat) | = | [] | list-extension(isNat) | = | Lex | ||
prec(plus) | = | 1 | status(plus) | = | [] | list-extension(plus) | = | Lex | ||
prec(U51#) | = | 0 | status(U51#) | = | [] | list-extension(U51#) | = | Lex | ||
prec(U11#) | = | 0 | status(U11#) | = | [3, 1] | list-extension(U11#) | = | Lex | ||
prec(U92) | = | 8 | status(U92) | = | [1] | list-extension(U92) | = | Lex | ||
prec(active#) | = | 4 | status(active#) | = | [1] | list-extension(active#) | = | Lex | ||
prec(U21#) | = | 0 | status(U21#) | = | [2, 1] | list-extension(U21#) | = | Lex | ||
prec(U81) | = | 0 | status(U81) | = | [3] | list-extension(U81) | = | Lex | ||
prec(U22#) | = | 0 | status(U22#) | = | [2, 1] | list-extension(U22#) | = | Lex | ||
prec(tt) | = | 7 | status(tt) | = | [] | list-extension(tt) | = | Lex | ||
prec(U84#) | = | 0 | status(U84#) | = | [3, 2, 1] | list-extension(U84#) | = | Lex | ||
prec(U71#) | = | 0 | status(U71#) | = | [] | list-extension(U71#) | = | Lex | ||
prec(U13) | = | 2 | status(U13) | = | [] | list-extension(U13) | = | Lex | ||
prec(U22) | = | 2 | status(U22) | = | [] | list-extension(U22) | = | Lex | ||
prec(isNatKind#) | = | 0 | status(isNatKind#) | = | [] | list-extension(isNatKind#) | = | Lex | ||
prec(U31#) | = | 0 | status(U31#) | = | [2, 1, 3] | list-extension(U31#) | = | Lex | ||
prec(U91#) | = | 0 | status(U91#) | = | [] | list-extension(U91#) | = | Lex | ||
prec(U61#) | = | 0 | status(U61#) | = | [2, 1] | list-extension(U61#) | = | Lex |
[U72#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U32#(x1, x2, x3)] | = | max(x2 + 0, x3 + 0, 0) |
[isNatKind(x1)] | = | 0 |
[U16(x1)] | = | x1 + 0 |
[U21(x1, x2)] | = | max(0) |
[U83#(x1, x2, x3)] | = | max(0) |
[U11(x1, x2, x3)] | = | max(0) |
[s(x1)] | = | x1 + 0 |
[U42(x1)] | = | 0 |
[U91(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U35#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U101#(x1, x2, x3)] | = | max(x2 + 0, x3 + 0, 0) |
[U82#(x1, x2, x3)] | = | max(x1 + 0, x3 + 0, 0) |
[U104#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U71(x1, x2)] | = | max(0) |
[U81#(x1, x2, x3)] | = | max(0) |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U23#(x1)] | = | 0 |
[U72(x1, x2)] | = | max(x2 + 0, 0) |
[U13#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, 0) |
[U34(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U103#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U12(x1, x2, x3)] | = | max(0) |
[x(x1, x2)] | = | max(0) |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, 0) |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | max(x2 + 0, 0) |
[mark#(x1)] | = | x1 + 0 |
[0] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | x1 + 0 |
[U102#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[x#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 0 |
[U32(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U33(x1, x2, x3)] | = | max(x1 + 0, 0) |
[U34#(x1, x2, x3)] | = | max(x1 + 0, x3 + 0, 0) |
[U14(x1, x2, x3)] | = | max(0) |
[isNat(x1)] | = | 0 |
[plus(x1, x2)] | = | max(0) |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | max(x1 + 0, x3 + 0, 0) |
[U92(x1)] | = | x1 + 0 |
[active#(x1)] | = | x1 + 0 |
[U21#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[U81(x1, x2, x3)] | = | max(x3 + 0, 0) |
[U22#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
[tt] | = | 0 |
[U84#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U71#(x1, x2)] | = | max(0) |
[U13(x1, x2, x3)] | = | max(0) |
[U22(x1, x2)] | = | max(0) |
[isNatKind#(x1)] | = | 0 |
[U31#(x1, x2, x3)] | = | max(x1 + 0, x2 + 0, x3 + 0, 0) |
[U91#(x1, x2)] | = | max(0) |
[U61#(x1, x2)] | = | max(x1 + 0, x2 + 0, 0) |
There are 120 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairactive#(U72(tt,N)) | → | mark#(N) | (355) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 13 |
[U16(x1)] | = | 7 |
[U21(x1, x2)] | = | 13 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 13 |
[s(x1)] | = | 15 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 2 |
[U91(x1, x2)] | = | 10 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 15 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 13 |
[U103(x1, x2, x3)] | = | 13 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 8 |
[U23(x1)] | = | 8 |
[U35(x1, x2)] | = | 11 |
[U72(x1, x2)] | = | 1 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 8 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 13 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 5 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 8 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 2 |
[mark#(x1)] | = | 47720 |
[0] | = | 21 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 2 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 9 |
[mark(x1)] | = | 14 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | 5 |
[U33(x1, x2, x3)] | = | 3 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 13 |
[isNat(x1)] | = | 13 |
[plus(x1, x2)] | = | 13 |
[U15(x1, x2)] | = | 15 |
[U61(x1, x2)] | = | 5 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | 9 |
[U92(x1)] | = | 1 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 13 |
[active#(x1)] | = | x1 + 47707 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 9 |
[U82(x1, x2, x3)] | = | 9 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 15 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 13 |
[U22(x1, x2)] | = | 13 |
[U51(x1)] | = | 15 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 7 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairmark#(U72(X1,X2)) | → | active#(U72(mark(X1),X2)) | (423) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 0 |
[U16(x1)] | = | 15026 |
[U21(x1, x2)] | = | x1 + 0 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + 0 |
[s(x1)] | = | x1 + 75127 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 39109 |
[U91(x1, x2)] | = | 42501 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 30051 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x1 + x2 + x3 + 42501 |
[U103(x1, x2, x3)] | = | x1 + 0 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 75128 |
[U23(x1)] | = | x1 + 0 |
[U35(x1, x2)] | = | 75126 |
[U72(x1, x2)] | = | x1 + 45076 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 60101 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x1 + 0 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 27476 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + 0 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 60102 |
[mark#(x1)] | = | x1 + 47720 |
[0] | = | 0 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 90151 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 30050 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + x3 + 30050 |
[U33(x1, x2, x3)] | = | 45076 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + 0 |
[isNat(x1)] | = | 0 |
[plus(x1, x2)] | = | 15026 |
[U15(x1, x2)] | = | x1 + 0 |
[U61(x1, x2)] | = | x2 + 15025 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 15025 |
[U31(x1, x2, x3)] | = | x2 + 15025 |
[U92(x1)] | = | 57526 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 0 |
[active#(x1)] | = | 47720 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 30051 |
[U82(x1, x2, x3)] | = | x1 + x3 + 45076 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + 0 |
[U22(x1, x2)] | = | 0 |
[U51(x1)] | = | x1 + 0 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 0 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 156 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairmark#(U101(X1,X2,X3)) | → | active#(U101(mark(X1),X2,X3)) | (328) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
active#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 2 |
[U16(x1)] | = | 22443 |
[U21(x1, x2)] | = | 2 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 2 |
[s(x1)] | = | x1 + 29013 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 39109 |
[U91(x1, x2)] | = | x1 + 1 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 14849 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x1 + x2 + x3 + 26040 |
[U103(x1, x2, x3)] | = | 2 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 14853 |
[U23(x1)] | = | x1 + 0 |
[U35(x1, x2)] | = | 45080 |
[U72(x1, x2)] | = | x1 + 45076 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 45078 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 2 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 1 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 14850 |
[mark#(x1)] | = | x1 + 47720 |
[0] | = | 0 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 90151 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 47362 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + x3 + 8579 |
[U33(x1, x2, x3)] | = | 45076 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 2 |
[isNat(x1)] | = | 2 |
[plus(x1, x2)] | = | 14847 |
[U15(x1, x2)] | = | x1 + 0 |
[U61(x1, x2)] | = | x2 + 18598 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + 8579 |
[U92(x1)] | = | 29230 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 2 |
[active#(x1)] | = | 47722 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 14849 |
[U82(x1, x2, x3)] | = | x1 + x3 + 14849 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 2 |
[U22(x1, x2)] | = | 2 |
[U51(x1)] | = | x1 + 0 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 0 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 156 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairactive#(U103(tt,M,N)) | → | mark#(U104(isNatKind(N),M,N)) | (346) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
active#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 25249 |
[U16(x1)] | = | 25247 |
[U21(x1, x2)] | = | 25249 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 25249 |
[s(x1)] | = | 25249 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 25249 |
[U91(x1, x2)] | = | 25247 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 25249 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 25250 |
[U103(x1, x2, x3)] | = | 25247 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 25247 |
[U23(x1)] | = | 25249 |
[U35(x1, x2)] | = | 25247 |
[U72(x1, x2)] | = | 25247 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 25247 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 25249 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 25247 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 25247 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 25247 |
[mark#(x1)] | = | 47720 |
[0] | = | 46289 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 25247 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 25247 |
[mark(x1)] | = | 25248 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | 25249 |
[U33(x1, x2, x3)] | = | 25247 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 25249 |
[isNat(x1)] | = | 25249 |
[plus(x1, x2)] | = | 25249 |
[U15(x1, x2)] | = | 25249 |
[U61(x1, x2)] | = | 25247 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | 25247 |
[U92(x1)] | = | 25249 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 25249 |
[active#(x1)] | = | x1 + 22471 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 25247 |
[U82(x1, x2, x3)] | = | 25247 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 25249 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 25249 |
[U22(x1, x2)] | = | 25249 |
[U51(x1)] | = | 25247 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 25247 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsactive#(U101(tt,M,N)) | → | mark#(U102(isNatKind(M),M,N)) | (337) |
mark#(U103(X1,X2,X3)) | → | active#(U103(mark(X1),X2,X3)) | (396) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
mark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 15 |
[U16(x1)] | = | 10 |
[U21(x1, x2)] | = | 15 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | 15 |
[s(x1)] | = | 33 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 10 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 0 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | 30 |
[U103(x1, x2, x3)] | = | 1 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 29 |
[U23(x1)] | = | x1 + 0 |
[U35(x1, x2)] | = | 12 |
[U72(x1, x2)] | = | x1 + 0 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 6 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 15 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 4 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 25 |
[mark#(x1)] | = | x1 + 22456 |
[0] | = | 3 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 14 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 0 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + 0 |
[U33(x1, x2, x3)] | = | 0 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 15 |
[isNat(x1)] | = | 15 |
[plus(x1, x2)] | = | 14 |
[U15(x1, x2)] | = | x1 + 0 |
[U61(x1, x2)] | = | 1 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | 0 |
[U92(x1)] | = | x1 + 0 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x3 + 16 |
[active#(x1)] | = | 22471 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 16 |
[U82(x1, x2, x3)] | = | x1 + 5 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 16 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 15 |
[U22(x1, x2)] | = | 15 |
[U51(x1)] | = | x1 + 0 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 0 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 156 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsmark#(U102(X1,X2,X3)) | → | active#(U102(mark(X1),X2,X3)) | (246) |
active#(U102(tt,M,N)) | → | mark#(U103(isNat(N),M,N)) | (584) |
The dependency pairs are split into 1 component.
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
[U72#(x1, x2)] | = | max(0) |
[U32#(x1, x2, x3)] | = | max(0) |
[isNatKind(x1)] | = | x1 + 11 |
[U16(x1)] | = | 2 |
[U21(x1, x2)] | = | max(x2 + 41, 0) |
[U83#(x1, x2, x3)] | = | max(0) |
[U11(x1, x2, x3)] | = | max(x2 + 45, x3 + 47, 0) |
[s(x1)] | = | x1 + 13 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 5 |
[U91(x1, x2)] | = | max(0) |
[U35#(x1, x2)] | = | max(0) |
[U101#(x1, x2, x3)] | = | max(0) |
[U82#(x1, x2, x3)] | = | max(0) |
[U104#(x1, x2, x3)] | = | max(0) |
[U71(x1, x2)] | = | max(x1 + 1, 0) |
[U81#(x1, x2, x3)] | = | max(0) |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | max(0) |
[U101(x1, x2, x3)] | = | max(0) |
[U103(x1, x2, x3)] | = | max(x3 + 46, 0) |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | max(x1 + 34, x3 + 33, 0) |
[U23(x1)] | = | x1 + 7 |
[U35(x1, x2)] | = | max(x2 + 2379, 0) |
[U72(x1, x2)] | = | max(x1 + 3, x2 + 25, 0) |
[U13#(x1, x2, x3)] | = | max(0) |
[U34(x1, x2, x3)] | = | max(x1 + 3, x2 + 25, 0) |
[U103#(x1, x2, x3)] | = | max(0) |
[U12(x1, x2, x3)] | = | max(x2 + 43, x3 + 41, 0) |
[U33#(x1, x2, x3)] | = | max(0) |
[x(x1, x2)] | = | max(x1 + 13, 0) |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | max(x2 + 47, x3 + 25, 0) |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | max(0) |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | max(x2 + 32, 0) |
[mark#(x1)] | = | x1 + 1 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | max(0) |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 27 |
[U102#(x1, x2, x3)] | = | max(0) |
[x#(x1, x2)] | = | max(0) |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 23 |
[mark(x1)] | = | x1 + 21 |
[U15#(x1, x2)] | = | max(0) |
[U32(x1, x2, x3)] | = | max(x1 + 10, x2 + 0, x3 + 32, 0) |
[U33(x1, x2, x3)] | = | max(x2 + 19, x3 + 20, 0) |
[U34#(x1, x2, x3)] | = | max(0) |
[U14(x1, x2, x3)] | = | max(x2 + 35, x3 + 33, 0) |
[isNat(x1)] | = | x1 + 30 |
[plus(x1, x2)] | = | max(x1 + 17, x2 + 19, 0) |
[U15(x1, x2)] | = | max(x1 + 1, x2 + 24, 0) |
[U61(x1, x2)] | = | max(x1 + 33, x2 + 9, 0) |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | max(0) |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | max(x1 + 25, x3 + 24, 0) |
[U92(x1)] | = | x1 + 5 |
[U41#(x1, x2)] | = | max(0) |
[U102(x1, x2, x3)] | = | max(x1 + 9, x2 + 8, 0) |
[active#(x1)] | = | x1 + 0 |
[U21#(x1, x2)] | = | max(0) |
[U81(x1, x2, x3)] | = | max(x2 + 31, 0) |
[U82(x1, x2, x3)] | = | max(x1 + 42, x2 + 64, x3 + 11, 0) |
[U22#(x1, x2)] | = | max(0) |
[tt] | = | 11 |
[U84#(x1, x2, x3)] | = | max(0) |
[U71#(x1, x2)] | = | max(0) |
[U13(x1, x2, x3)] | = | max(x2 + 37, x3 + 39, 0) |
[U22(x1, x2)] | = | max(x2 + 39, 0) |
[U51(x1)] | = | x1 + 11 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | max(x1 + 4, x2 + 26, 0) |
[U31#(x1, x2, x3)] | = | max(0) |
[U91#(x1, x2)] | = | max(0) |
[U61#(x1, x2)] | = | max(0) |
U91(X1,mark(X2)) | → | U91(X1,X2) | (239) |
isNat(mark(X)) | → | isNat(X) | (104) |
U15(X1,mark(X2)) | → | U15(X1,X2) | (145) |
U11(X1,mark(X2),X3) | → | U11(X1,X2,X3) | (121) |
U14(active(X1),X2,X3) | → | U14(X1,X2,X3) | (141) |
U21(active(X1),X2) | → | U21(X1,X2) | (152) |
U42(active(X)) | → | U42(X) | (195) |
U11(X1,active(X2),X3) | → | U11(X1,X2,X3) | (124) |
U14(X1,X2,mark(X3)) | → | U14(X1,X2,X3) | (140) |
U23(active(X)) | → | U23(X) | (159) |
U12(X1,X2,active(X3)) | → | U12(X1,X2,X3) | (131) |
U11(X1,X2,mark(X3)) | → | U11(X1,X2,X3) | (122) |
s(active(X)) | → | s(X) | (237) |
isNat(active(X)) | → | isNat(X) | (105) |
U13(active(X1),X2,X3) | → | U13(X1,X2,X3) | (135) |
U41(active(X1),X2) | → | U41(X1,X2) | (192) |
U11(X1,X2,active(X3)) | → | U11(X1,X2,X3) | (125) |
U14(X1,X2,active(X3)) | → | U14(X1,X2,X3) | (143) |
x(X1,mark(X2)) | → | x(X1,X2) | (117) |
U21(mark(X1),X2) | → | U21(X1,X2) | (150) |
U14(X1,active(X2),X3) | → | U14(X1,X2,X3) | (142) |
U15(mark(X1),X2) | → | U15(X1,X2) | (144) |
U13(X1,X2,active(X3)) | → | U13(X1,X2,X3) | (137) |
U22(X1,active(X2)) | → | U22(X1,X2) | (157) |
U42(mark(X)) | → | U42(X) | (194) |
U91(X1,active(X2)) | → | U91(X1,X2) | (241) |
U12(X1,mark(X2),X3) | → | U12(X1,X2,X3) | (127) |
U11(mark(X1),X2,X3) | → | U11(X1,X2,X3) | (120) |
x(X1,active(X2)) | → | x(X1,X2) | (119) |
U13(X1,active(X2),X3) | → | U13(X1,X2,X3) | (136) |
U21(X1,active(X2)) | → | U21(X1,X2) | (153) |
U12(mark(X1),X2,X3) | → | U12(X1,X2,X3) | (126) |
U12(active(X1),X2,X3) | → | U12(X1,X2,X3) | (129) |
U12(X1,active(X2),X3) | → | U12(X1,X2,X3) | (130) |
U13(X1,mark(X2),X3) | → | U13(X1,X2,X3) | (133) |
isNatKind(mark(X)) | → | isNatKind(X) | (96) |
x(active(X1),X2) | → | x(X1,X2) | (118) |
U12(X1,X2,mark(X3)) | → | U12(X1,X2,X3) | (128) |
s(mark(X)) | → | s(X) | (236) |
U13(X1,X2,mark(X3)) | → | U13(X1,X2,X3) | (134) |
U41(mark(X1),X2) | → | U41(X1,X2) | (190) |
U51(active(X)) | → | U51(X) | (197) |
U22(active(X1),X2) | → | U22(X1,X2) | (156) |
U15(active(X1),X2) | → | U15(X1,X2) | (146) |
U13(mark(X1),X2,X3) | → | U13(X1,X2,X3) | (132) |
U41(X1,active(X2)) | → | U41(X1,X2) | (193) |
U51(mark(X)) | → | U51(X) | (196) |
U22(X1,mark(X2)) | → | U22(X1,X2) | (155) |
x(mark(X1),X2) | → | x(X1,X2) | (116) |
U22(mark(X1),X2) | → | U22(X1,X2) | (154) |
U21(X1,mark(X2)) | → | U21(X1,X2) | (151) |
U23(mark(X)) | → | U23(X) | (158) |
plus(X1,mark(X2)) | → | plus(X1,X2) | (113) |
U14(mark(X1),X2,X3) | → | U14(X1,X2,X3) | (138) |
plus(mark(X1),X2) | → | plus(X1,X2) | (112) |
U11(active(X1),X2,X3) | → | U11(X1,X2,X3) | (123) |
U14(X1,mark(X2),X3) | → | U14(X1,X2,X3) | (139) |
U15(X1,active(X2)) | → | U15(X1,X2) | (147) |
U91(active(X1),X2) | → | U91(X1,X2) | (240) |
U41(X1,mark(X2)) | → | U41(X1,X2) | (191) |
isNatKind(active(X)) | → | isNatKind(X) | (97) |
plus(active(X1),X2) | → | plus(X1,X2) | (114) |
plus(X1,active(X2)) | → | plus(X1,X2) | (115) |
U91(mark(X1),X2) | → | U91(X1,X2) | (238) |
mark#(isNat(X)) | → | active#(isNat(X)) | (607) |
active#(U14(tt,V1,V2)) | → | mark#(U15(isNat(V1),V2)) | (378) |
mark#(U11(X1,X2,X3)) | → | active#(U11(mark(X1),X2,X3)) | (358) |
mark#(U21(X1,X2)) | → | active#(U21(mark(X1),X2)) | (384) |
active#(isNat(plus(V1,V2))) | → | mark#(U11(isNatKind(V1),V1,V2)) | (273) |
active#(U11(tt,V1,V2)) | → | mark#(U12(isNatKind(V1),V1,V2)) | (592) |
active#(isNatKind(s(V1))) | → | mark#(U51(isNatKind(V1))) | (458) |
active#(U13(tt,V1,V2)) | → | mark#(U14(isNatKind(V2),V1,V2)) | (359) |
mark#(U23(X)) | → | mark#(X) | (510) |
mark#(U13(X1,X2,X3)) | → | active#(U13(mark(X1),X2,X3)) | (256) |
active#(U22(tt,V1)) | → | mark#(U23(isNat(V1))) | (437) |
mark#(U41(X1,X2)) | → | mark#(X1) | (280) |
mark#(U14(X1,X2,X3)) | → | active#(U14(mark(X1),X2,X3)) | (493) |
active#(U21(tt,V1)) | → | mark#(U22(isNatKind(V1),V1)) | (602) |
mark#(U12(X1,X2,X3)) | → | active#(U12(mark(X1),X2,X3)) | (278) |
active#(U12(tt,V1,V2)) | → | mark#(U13(isNatKind(V2),V1,V2)) | (505) |
active#(isNatKind(plus(V1,V2))) | → | mark#(U41(isNatKind(V1),V2)) | (621) |
mark#(U22(X1,X2)) | → | active#(U22(mark(X1),X2)) | (583) |
mark#(U15(X1,X2)) | → | mark#(X1) | (285) |
mark#(isNatKind(X)) | → | active#(isNatKind(X)) | (524) |
mark#(U51(X)) | → | mark#(X) | (370) |
active#(isNat(s(V1))) | → | mark#(U21(isNatKind(V1),V1)) | (403) |
The dependency pairs are split into 0 components.
U71#(X1,mark(X2)) | → | U71#(X1,X2) | (617) |
U71#(active(X1),X2) | → | U71#(X1,X2) | (611) |
U71#(mark(X1),X2) | → | U71#(X1,X2) | (534) |
U71#(X1,active(X2)) | → | U71#(X1,X2) | (331) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 7593 |
[U16(x1)] | = | 7597 |
[U21(x1, x2)] | = | 23990 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x3 + 7587 |
[s(x1)] | = | x1 + 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 7597 |
[U91(x1, x2)] | = | 27647 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 35262 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x1 + x2 + 27646 |
[U103(x1, x2, x3)] | = | x2 + 35255 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 35268 |
[U23(x1)] | = | x1 + 48746 |
[U35(x1, x2)] | = | 7503 |
[U72(x1, x2)] | = | x1 + 27671 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + 7501 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 7589 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 27644 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + 35257 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 35266 |
[mark#(x1)] | = | 22471 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 7505 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 7597 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 5 |
[U33(x1, x2, x3)] | = | 253 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 7593 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x2 + 35259 |
[U15(x1, x2)] | = | x2 + 7595 |
[U61(x1, x2)] | = | x2 + 7595 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 3 |
[U92(x1)] | = | x1 + 40174 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 27654 |
[active#(x1)] | = | 22471 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 35262 |
[U82(x1, x2, x3)] | = | x2 + x3 + 35264 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 7599 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | x1 + 0 |
[U13(x1, x2, x3)] | = | 7591 |
[U22(x1, x2)] | = | 48745 |
[U51(x1)] | = | x1 + 24839 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 7595 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
U71#(active(X1),X2) | → | U71#(X1,X2) | (611) |
U71#(mark(X1),X2) | → | U71#(X1,X2) | (534) |
The dependency pairs are split into 1 component.
U71#(X1,mark(X2)) | → | U71#(X1,X2) | (617) |
U71#(X1,active(X2)) | → | U71#(X1,X2) | (331) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 11 |
[U16(x1)] | = | 15 |
[U21(x1, x2)] | = | 5 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x3 + 5 |
[s(x1)] | = | x1 + 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 15 |
[U91(x1, x2)] | = | 21563 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 21594 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x1 + x2 + 21560 |
[U103(x1, x2, x3)] | = | x2 + 21587 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 21600 |
[U23(x1)] | = | x1 + 30554 |
[U35(x1, x2)] | = | 13 |
[U72(x1, x2)] | = | x1 + 21585 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + 11 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 7 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 21560 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + 21589 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 21598 |
[mark#(x1)] | = | 22471 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 15 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 15 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 7 |
[U33(x1, x2, x3)] | = | 9 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 11 |
[isNat(x1)] | = | 3 |
[plus(x1, x2)] | = | x2 + 21591 |
[U15(x1, x2)] | = | x2 + 13 |
[U61(x1, x2)] | = | x2 + 13 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 5 |
[U92(x1)] | = | x1 + 58784 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 21568 |
[active#(x1)] | = | 22471 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 21594 |
[U82(x1, x2, x3)] | = | x2 + x3 + 21596 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 17 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | x2 + 0 |
[U13(x1, x2, x3)] | = | 9 |
[U22(x1, x2)] | = | 7 |
[U51(x1)] | = | x1 + 31436 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 13 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
U71#(X1,mark(X2)) | → | U71#(X1,X2) | (617) |
U71#(X1,active(X2)) | → | U71#(X1,X2) | (331) |
The dependency pairs are split into 0 components.
U16#(active(X)) | → | U16#(X) | (484) |
U16#(mark(X)) | → | U16#(X) | (306) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1 |
[U16(x1)] | = | 2 |
[U21(x1, x2)] | = | x1 + 2 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x3 + 2 |
[s(x1)] | = | x1 + 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 1 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 11916 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x1 + x2 + 2 |
[U103(x1, x2, x3)] | = | x2 + 3 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 4 |
[U23(x1)] | = | x1 + 2 |
[U35(x1, x2)] | = | 1 |
[U72(x1, x2)] | = | x1 + 16723 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + 1 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 1 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 3 |
[U16#(x1)] | = | x1 + 0 |
[U104(x1, x2, x3)] | = | x2 + 2 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 1 |
[mark#(x1)] | = | 22471 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 1 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 2 |
[mark(x1)] | = | x1 + 3 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 2 |
[U33(x1, x2, x3)] | = | x1 + 1 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 1 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x2 + 1 |
[U15(x1, x2)] | = | x2 + 3 |
[U61(x1, x2)] | = | x2 + 1 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 2 |
[U92(x1)] | = | x1 + 23299 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x3 + 3 |
[active#(x1)] | = | 22471 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 2 |
[U82(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 1 |
[U22(x1, x2)] | = | 2 |
[U51(x1)] | = | x1 + 2 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 1 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
U16#(active(X)) | → | U16#(X) | (484) |
U16#(mark(X)) | → | U16#(X) | (306) |
The dependency pairs are split into 0 components.
U22#(mark(X1),X2) | → | U22#(X1,X2) | (504) |
U22#(X1,active(X2)) | → | U22#(X1,X2) | (500) |
U22#(active(X1),X2) | → | U22#(X1,X2) | (447) |
U22#(X1,mark(X2)) | → | U22#(X1,X2) | (245) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1 |
[U16(x1)] | = | 1 |
[U21(x1, x2)] | = | x1 + 7 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x3 + 1 |
[s(x1)] | = | x1 + 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 1 |
[U91(x1, x2)] | = | x1 + 9006 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 1 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x1 + x2 + 1 |
[U103(x1, x2, x3)] | = | x2 + 8 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 8 |
[U23(x1)] | = | x1 + 4 |
[U35(x1, x2)] | = | 8 |
[U72(x1, x2)] | = | x1 + 2 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + 9 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 1 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 2 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + 6 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 2 |
[mark#(x1)] | = | 22471 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 5 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 5 |
[mark(x1)] | = | x1 + 5 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 1 |
[U33(x1, x2, x3)] | = | x1 + 2 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 1 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x2 + 3 |
[U15(x1, x2)] | = | x2 + 1 |
[U61(x1, x2)] | = | x2 + 1 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[U92(x1)] | = | x1 + 23299 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x3 + 2 |
[active#(x1)] | = | 22471 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 2 |
[U82(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[U22#(x1, x2)] | = | x1 + x2 + 0 |
[tt] | = | 2 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 1 |
[U22(x1, x2)] | = | 6 |
[U51(x1)] | = | x1 + 4 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 1 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
U22#(mark(X1),X2) | → | U22#(X1,X2) | (504) |
U22#(X1,active(X2)) | → | U22#(X1,X2) | (500) |
U22#(active(X1),X2) | → | U22#(X1,X2) | (447) |
U22#(X1,mark(X2)) | → | U22#(X1,X2) | (245) |
The dependency pairs are split into 0 components.
U62#(active(X)) | → | U62#(X) | (579) |
U62#(mark(X)) | → | U62#(X) | (476) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 8 |
[U21(x1, x2)] | = | x1 + 1 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 13 |
[s(x1)] | = | x1 + 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 8 |
[U91(x1, x2)] | = | 9 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x2 + 6 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 6 |
[U103(x1, x2, x3)] | = | x2 + 10 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 10 |
[U23(x1)] | = | x1 + 4 |
[U35(x1, x2)] | = | 11 |
[U72(x1, x2)] | = | x2 + 5 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 5 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 12 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 9 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + 9 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | x1 + 0 |
[U83(x1, x2, x3)] | = | 11 |
[mark#(x1)] | = | 22471 |
[0] | = | 7 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 10 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 8 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 13 |
[U33(x1, x2, x3)] | = | x1 + 11 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 10 |
[isNat(x1)] | = | x1 + 6 |
[plus(x1, x2)] | = | 8 |
[U15(x1, x2)] | = | 9 |
[U61(x1, x2)] | = | 9 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 0 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 9 |
[U92(x1)] | = | 8 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x2 + 4 |
[active#(x1)] | = | 22471 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 7 |
[U82(x1, x2, x3)] | = | x1 + x3 + 5 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 7 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 11 |
[U22(x1, x2)] | = | x1 + x2 + 4 |
[U51(x1)] | = | 8 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 3 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 160 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairU62#(mark(X)) | → | U62#(X) | (476) |
The dependency pairs are split into 1 component.
U62#(active(X)) | → | U62#(X) | (579) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 2 |
[U21(x1, x2)] | = | x1 + 1 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 4 |
[s(x1)] | = | x1 + 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 2 |
[U91(x1, x2)] | = | 16188 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 2 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 2 |
[U103(x1, x2, x3)] | = | x2 + 3 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 4 |
[U23(x1)] | = | x1 + 1 |
[U35(x1, x2)] | = | 5 |
[U72(x1, x2)] | = | x2 + 4 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 3 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 4 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 16398 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + 3 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | x1 + 0 |
[U83(x1, x2, x3)] | = | 4 |
[mark#(x1)] | = | 22471 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 5 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 1068 |
[mark(x1)] | = | x1 + 55438 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 1 |
[U33(x1, x2, x3)] | = | x1 + 2 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 4 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | 3 |
[U15(x1, x2)] | = | 4 |
[U61(x1, x2)] | = | 1068 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 55438 |
[U31(x1, x2, x3)] | = | x2 + x3 + 2 |
[U92(x1)] | = | 2 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x2 + 1 |
[active#(x1)] | = | 22471 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 3 |
[U82(x1, x2, x3)] | = | x1 + x3 + 2 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 2 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 4 |
[U22(x1, x2)] | = | x1 + x2 + 1 |
[U51(x1)] | = | 12661 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 1 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 158 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairU62#(active(X)) | → | U62#(X) | (579) |
The dependency pairs are split into 0 components.
U81#(X1,mark(X2),X3) | → | U81#(X1,X2,X3) | (624) |
U81#(mark(X1),X2,X3) | → | U81#(X1,X2,X3) | (609) |
U81#(X1,X2,mark(X3)) | → | U81#(X1,X2,X3) | (587) |
U81#(X1,active(X2),X3) | → | U81#(X1,X2,X3) | (550) |
U81#(X1,X2,active(X3)) | → | U81#(X1,X2,X3) | (296) |
U81#(active(X1),X2,X3) | → | U81#(X1,X2,X3) | (294) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 23232 |
[U21(x1, x2)] | = | x1 + 6173 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 23233 |
[s(x1)] | = | x1 + 919 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 23232 |
[U91(x1, x2)] | = | 23231 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 10066 |
[U81#(x1, x2, x3)] | = | x1 + x2 + x3 + 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 12886 |
[U103(x1, x2, x3)] | = | x2 + 17978 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 18897 |
[U23(x1)] | = | x1 + 1684 |
[U35(x1, x2)] | = | 23232 |
[U72(x1, x2)] | = | x2 + 10506 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 22664 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 23232 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 23231 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + 17978 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 41209 |
[mark#(x1)] | = | 0 |
[0] | = | 23231 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 23232 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 23232 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 28485 |
[U33(x1, x2, x3)] | = | x1 + 27626 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 23232 |
[isNat(x1)] | = | x1 + 5255 |
[plus(x1, x2)] | = | 17978 |
[U15(x1, x2)] | = | 23232 |
[U61(x1, x2)] | = | 23232 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1 |
[U31(x1, x2, x3)] | = | x2 + x3 + 28486 |
[U92(x1)] | = | 23231 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x2 + 12885 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 17978 |
[U82(x1, x2, x3)] | = | x1 + x3 + 17977 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 23232 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 23232 |
[U22(x1, x2)] | = | x1 + x2 + 23395 |
[U51(x1)] | = | 23232 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 5906 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
There are 158 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsU81#(X1,mark(X2),X3) | → | U81#(X1,X2,X3) | (624) |
U81#(mark(X1),X2,X3) | → | U81#(X1,X2,X3) | (609) |
U81#(X1,X2,mark(X3)) | → | U81#(X1,X2,X3) | (587) |
U81#(X1,active(X2),X3) | → | U81#(X1,X2,X3) | (550) |
U81#(X1,X2,active(X3)) | → | U81#(X1,X2,X3) | (296) |
U81#(active(X1),X2,X3) | → | U81#(X1,X2,X3) | (294) |
The dependency pairs are split into 0 components.
U91#(X1,active(X2)) | → | U91#(X1,X2) | (530) |
U91#(mark(X1),X2) | → | U91#(X1,X2) | (363) |
U91#(X1,mark(X2)) | → | U91#(X1,X2) | (326) |
U91#(active(X1),X2) | → | U91#(X1,X2) | (302) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 266 |
[U21(x1, x2)] | = | x1 + 1 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 267 |
[s(x1)] | = | x1 + 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 267 |
[U91(x1, x2)] | = | 29501 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 478 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 21070 |
[U103(x1, x2, x3)] | = | x2 + 479 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | 480 |
[U23(x1)] | = | x1 + 3 |
[U35(x1, x2)] | = | 267 |
[U72(x1, x2)] | = | x2 + 3 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 1122 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 266 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 32980 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + 479 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | 480 |
[mark#(x1)] | = | 0 |
[0] | = | 29500 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 267 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 10639 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 12389 |
[U33(x1, x2, x3)] | = | x1 + 5124 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 266 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | 479 |
[U15(x1, x2)] | = | 266 |
[U61(x1, x2)] | = | 10639 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1 |
[U31(x1, x2, x3)] | = | x2 + x3 + 12390 |
[U92(x1)] | = | 29500 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x2 + 21069 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 215 |
[U82(x1, x2, x3)] | = | x1 + x3 + 214 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 266 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 266 |
[U22(x1, x2)] | = | x1 + x2 + 2 |
[U51(x1)] | = | 8414 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 2 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | x1 + x2 + 0 |
[U61#(x1, x2)] | = | 0 |
There are 158 ruless (increase limit for explicit display).
(w.r.t. the implicit argument filter of the reduction pair), the pairsU91#(X1,active(X2)) | → | U91#(X1,X2) | (530) |
U91#(mark(X1),X2) | → | U91#(X1,X2) | (363) |
U91#(X1,mark(X2)) | → | U91#(X1,X2) | (326) |
U91#(active(X1),X2) | → | U91#(X1,X2) | (302) |
The dependency pairs are split into 0 components.
U72#(X1,active(X2)) | → | U72#(X1,X2) | (618) |
U72#(active(X1),X2) | → | U72#(X1,X2) | (561) |
U72#(X1,mark(X2)) | → | U72#(X1,X2) | (406) |
U72#(mark(X1),X2) | → | U72#(X1,X2) | (394) |
[U72#(x1, x2)] | = | x1 + x2 + 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 41747 |
[U16(x1)] | = | 41751 |
[U21(x1, x2)] | = | x1 + 1 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 41741 |
[s(x1)] | = | x1 + 31682 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 41751 |
[U91(x1, x2)] | = | 7010 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 21659 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 63753 |
[U103(x1, x2, x3)] | = | x2 + 63763 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 63378 |
[U23(x1)] | = | x1 + 43209 |
[U35(x1, x2)] | = | x2 + 22247 |
[U72(x1, x2)] | = | 63414 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x3 + 29529 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 41743 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x2 + 32069 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 63765 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 63376 |
[mark#(x1)] | = | 0 |
[0] | = | 7014 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 22249 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 41751 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 29513 |
[U33(x1, x2, x3)] | = | x1 + 29521 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 41747 |
[isNat(x1)] | = | x1 + 10041 |
[plus(x1, x2)] | = | x1 + 31698 |
[U15(x1, x2)] | = | x2 + 41749 |
[U61(x1, x2)] | = | x2 + 41749 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 42112 |
[U92(x1)] | = | 7012 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x3 + 22008 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 63372 |
[U82(x1, x2, x3)] | = | x2 + 63374 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 41753 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 41745 |
[U22(x1, x2)] | = | x1 + 11495 |
[U51(x1)] | = | 41749 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 41749 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U42(mark(X)) | → | U42(X) | (194) |
U72#(X1,active(X2)) | → | U72#(X1,X2) | (618) |
U72#(active(X1),X2) | → | U72#(X1,X2) | (561) |
U72#(X1,mark(X2)) | → | U72#(X1,X2) | (406) |
U72#(mark(X1),X2) | → | U72#(X1,X2) | (394) |
The dependency pairs are split into 0 components.
U42#(mark(X)) | → | U42#(X) | (383) |
U42#(active(X)) | → | U42#(X) | (354) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 5180 |
[U21(x1, x2)] | = | x1 + x2 + 19 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + 7199 |
[s(x1)] | = | x1 + 4195 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 12536 |
[U91(x1, x2)] | = | 12531 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 44930 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 12532 |
[U103(x1, x2, x3)] | = | x1 + x2 + 12518 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 12539 |
[U23(x1)] | = | x1 + 25080 |
[U35(x1, x2)] | = | x2 + 4717 |
[U72(x1, x2)] | = | x1 + x2 + 57469 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 25099 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 5172 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 12529 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 25058 |
[U42#(x1)] | = | x1 + 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 12537 |
[mark#(x1)] | = | 0 |
[0] | = | 12535 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 4719 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 12534 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 21 |
[U33(x1, x2, x3)] | = | x1 + 12560 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 5176 |
[isNat(x1)] | = | 18 |
[plus(x1, x2)] | = | x1 + 12531 |
[U15(x1, x2)] | = | x2 + 5178 |
[U61(x1, x2)] | = | x2 + 12532 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 20 |
[U92(x1)] | = | 12533 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 12534 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 12533 |
[U82(x1, x2, x3)] | = | 12535 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 12538 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 5174 |
[U22(x1, x2)] | = | x1 + 12558 |
[U51(x1)] | = | 4198 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 12534 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U42(mark(X)) | → | U42(X) | (194) |
U42#(mark(X)) | → | U42#(X) | (383) |
U42#(active(X)) | → | U42#(X) | (354) |
The dependency pairs are split into 0 components.
U41#(mark(X1),X2) | → | U41#(X1,X2) | (556) |
U41#(X1,active(X2)) | → | U41#(X1,X2) | (395) |
U41#(active(X1),X2) | → | U41#(X1,X2) | (390) |
U41#(X1,mark(X2)) | → | U41#(X1,X2) | (286) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 11 |
[U21(x1, x2)] | = | x1 + x2 + 19655 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + 18 |
[s(x1)] | = | x1 + 16 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 19 |
[U91(x1, x2)] | = | 14 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 1 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 14 |
[U103(x1, x2, x3)] | = | x1 + x2 + 1 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 28 |
[U23(x1)] | = | x1 + 19683 |
[U35(x1, x2)] | = | x2 + 11 |
[U72(x1, x2)] | = | x1 + x2 + 60046 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 64 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 1 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 12 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 24 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 26 |
[mark#(x1)] | = | 0 |
[0] | = | 18 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 13 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 18 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 20 |
[U33(x1, x2, x3)] | = | x1 + 42 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 7 |
[isNat(x1)] | = | 17 |
[plus(x1, x2)] | = | x1 + 14 |
[U15(x1, x2)] | = | x2 + 9 |
[U61(x1, x2)] | = | x2 + 16 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 19 |
[U92(x1)] | = | 16 |
[U41#(x1, x2)] | = | x1 + x2 + 0 |
[U102(x1, x2, x3)] | = | x3 + 16 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 22 |
[U82(x1, x2, x3)] | = | 24 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 21 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 5 |
[U22(x1, x2)] | = | x1 + 19677 |
[U51(x1)] | = | 19 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 17 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U42(mark(X)) | → | U42(X) | (194) |
U41#(mark(X1),X2) | → | U41#(X1,X2) | (556) |
U41#(X1,active(X2)) | → | U41#(X1,X2) | (395) |
U41#(active(X1),X2) | → | U41#(X1,X2) | (390) |
U41#(X1,mark(X2)) | → | U41#(X1,X2) | (286) |
The dependency pairs are split into 0 components.
U14#(X1,active(X2),X3) | → | U14#(X1,X2,X3) | (494) |
U14#(active(X1),X2,X3) | → | U14#(X1,X2,X3) | (436) |
U14#(X1,mark(X2),X3) | → | U14#(X1,X2,X3) | (335) |
U14#(X1,X2,active(X3)) | → | U14#(X1,X2,X3) | (324) |
U14#(X1,X2,mark(X3)) | → | U14#(X1,X2,X3) | (321) |
U14#(mark(X1),X2,X3) | → | U14#(X1,X2,X3) | (309) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 12 |
[U21(x1, x2)] | = | x1 + x2 + 18 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + 28023 |
[s(x1)] | = | x1 + 12 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 19 |
[U91(x1, x2)] | = | 14 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 16621 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 14 |
[U103(x1, x2, x3)] | = | x1 + x2 + 1 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 24 |
[U23(x1)] | = | x1 + 46 |
[U35(x1, x2)] | = | x2 + 17 |
[U72(x1, x2)] | = | x1 + x2 + 16643 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 64 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 4 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 12 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 24 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 22 |
[mark#(x1)] | = | 0 |
[0] | = | 18 |
[U14#(x1, x2, x3)] | = | x1 + x2 + 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 19 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 18 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 20 |
[U33(x1, x2, x3)] | = | x1 + 42 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 8 |
[isNat(x1)] | = | 17 |
[plus(x1, x2)] | = | x1 + 14 |
[U15(x1, x2)] | = | x2 + 10 |
[U61(x1, x2)] | = | x2 + 16 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 19 |
[U92(x1)] | = | 16 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 16 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 18 |
[U82(x1, x2, x3)] | = | 20 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 21 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 6 |
[U22(x1, x2)] | = | x1 + 40 |
[U51(x1)] | = | 15 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 17 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U42(mark(X)) | → | U42(X) | (194) |
U14#(X1,active(X2),X3) | → | U14#(X1,X2,X3) | (494) |
U14#(active(X1),X2,X3) | → | U14#(X1,X2,X3) | (436) |
U14#(X1,mark(X2),X3) | → | U14#(X1,X2,X3) | (335) |
U14#(mark(X1),X2,X3) | → | U14#(X1,X2,X3) | (309) |
The dependency pairs are split into 1 component.
U14#(X1,X2,mark(X3)) | → | U14#(X1,X2,X3) | (321) |
U14#(X1,X2,active(X3)) | → | U14#(X1,X2,X3) | (324) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 9 |
[U21(x1, x2)] | = | x1 + x2 + 19 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + 2640 |
[s(x1)] | = | x1 + 10 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 19 |
[U91(x1, x2)] | = | 14 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 33296 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 15 |
[U103(x1, x2, x3)] | = | x1 + x2 + 1 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 22 |
[U23(x1)] | = | x1 + 46 |
[U35(x1, x2)] | = | x2 + 15 |
[U72(x1, x2)] | = | x1 + x2 + 33318 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 65 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 1 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 12 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 24 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 20 |
[mark#(x1)] | = | 0 |
[0] | = | 18 |
[U14#(x1, x2, x3)] | = | x3 + 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 17 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 19 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 21 |
[U33(x1, x2, x3)] | = | x1 + 43 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 5 |
[isNat(x1)] | = | 18 |
[plus(x1, x2)] | = | x1 + 14 |
[U15(x1, x2)] | = | x2 + 7 |
[U61(x1, x2)] | = | x2 + 17 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 20 |
[U92(x1)] | = | 16 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 17 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 16 |
[U82(x1, x2, x3)] | = | 18 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 21 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 3 |
[U22(x1, x2)] | = | x1 + 41 |
[U51(x1)] | = | 13 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 17 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U42(mark(X)) | → | U42(X) | (194) |
U14#(X1,X2,mark(X3)) | → | U14#(X1,X2,X3) | (321) |
U14#(X1,X2,active(X3)) | → | U14#(X1,X2,X3) | (324) |
The dependency pairs are split into 0 components.
U84#(X1,active(X2),X3) | → | U84#(X1,X2,X3) | (589) |
U84#(mark(X1),X2,X3) | → | U84#(X1,X2,X3) | (575) |
U84#(X1,X2,mark(X3)) | → | U84#(X1,X2,X3) | (562) |
U84#(X1,mark(X2),X3) | → | U84#(X1,X2,X3) | (347) |
U84#(X1,X2,active(X3)) | → | U84#(X1,X2,X3) | (320) |
U84#(active(X1),X2,X3) | → | U84#(X1,X2,X3) | (265) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 18 |
[U21(x1, x2)] | = | x1 + x2 + 15106 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + 29332 |
[s(x1)] | = | x1 + 10 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 19 |
[U91(x1, x2)] | = | 14 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 1 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 14 |
[U103(x1, x2, x3)] | = | x1 + x2 + 1 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 22 |
[U23(x1)] | = | x1 + 15134 |
[U35(x1, x2)] | = | x2 + 1 |
[U72(x1, x2)] | = | x1 + x2 + 10025 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 64 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 10 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 12 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 24 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x3 + 20 |
[mark#(x1)] | = | 0 |
[0] | = | 18 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 15 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 18 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 20 |
[U33(x1, x2, x3)] | = | x1 + 42 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 14 |
[isNat(x1)] | = | 17 |
[plus(x1, x2)] | = | x1 + 14 |
[U15(x1, x2)] | = | x2 + 16 |
[U61(x1, x2)] | = | x2 + 15 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 19 |
[U92(x1)] | = | 16 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 16 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 16 |
[U82(x1, x2, x3)] | = | 18 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 21 |
[U84#(x1, x2, x3)] | = | x1 + x2 + 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 12 |
[U22(x1, x2)] | = | x1 + 15128 |
[U51(x1)] | = | 13 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 17 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U42(mark(X)) | → | U42(X) | (194) |
U84#(X1,active(X2),X3) | → | U84#(X1,X2,X3) | (589) |
U84#(mark(X1),X2,X3) | → | U84#(X1,X2,X3) | (575) |
U84#(X1,mark(X2),X3) | → | U84#(X1,X2,X3) | (347) |
U84#(active(X1),X2,X3) | → | U84#(X1,X2,X3) | (265) |
The dependency pairs are split into 1 component.
U84#(X1,X2,active(X3)) | → | U84#(X1,X2,X3) | (320) |
U84#(X1,X2,mark(X3)) | → | U84#(X1,X2,X3) | (562) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 13193 |
[U16(x1)] | = | x1 + 127502 |
[U21(x1, x2)] | = | x1 + x2 + 6786 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 19979 |
[s(x1)] | = | x1 + 67147 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 71449 |
[U91(x1, x2)] | = | x1 + 34196 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 64193 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 77978 |
[U103(x1, x2, x3)] | = | x1 + 58005 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 70983 |
[U23(x1)] | = | 17656 |
[U35(x1, x2)] | = | x2 + 80326 |
[U72(x1, x2)] | = | x1 + x2 + 131332 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + 48377 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 19981 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 54171 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 138337 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 84174 |
[mark#(x1)] | = | 0 |
[0] | = | 181667 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 80328 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 90713 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 6788 |
[U33(x1, x2, x3)] | = | 87120 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + x3 + 87122 |
[isNat(x1)] | = | 19977 |
[plus(x1, x2)] | = | x1 + 84168 |
[U15(x1, x2)] | = | x1 + 67147 |
[U61(x1, x2)] | = | x1 + x2 + 10381 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 19979 |
[U92(x1)] | = | x1 + 101335 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 77980 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 84170 |
[U82(x1, x2, x3)] | = | 84172 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 80330 |
[U84#(x1, x2, x3)] | = | x3 + 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + 6790 |
[U22(x1, x2)] | = | 17654 |
[U51(x1)] | = | 13195 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 4310 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U101(X1,mark(X2),X3) | → | U101(X1,X2,X3) | (85) |
U101(active(X1),X2,X3) | → | U101(X1,X2,X3) | (87) |
U101(mark(X1),X2,X3) | → | U101(X1,X2,X3) | (84) |
U101(X1,active(X2),X3) | → | U101(X1,X2,X3) | (88) |
U101(X1,X2,active(X3)) | → | U101(X1,X2,X3) | (89) |
U101(X1,X2,mark(X3)) | → | U101(X1,X2,X3) | (86) |
U84#(X1,X2,active(X3)) | → | U84#(X1,X2,X3) | (320) |
U84#(X1,X2,mark(X3)) | → | U84#(X1,X2,X3) | (562) |
The dependency pairs are split into 0 components.
U51#(active(X)) | → | U51#(X) | (434) |
U51#(mark(X)) | → | U51#(X) | (283) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 0 |
[U16(x1)] | = | x1 + 90509 |
[U21(x1, x2)] | = | x2 + 19519 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 31381 |
[s(x1)] | = | x1 + 90471 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 15353 |
[U91(x1, x2)] | = | 3487 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 30489 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 921 |
[U103(x1, x2, x3)] | = | x1 + 33 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 90505 |
[U23(x1)] | = | 26740 |
[U35(x1, x2)] | = | x2 + 30447 |
[U72(x1, x2)] | = | x1 + x2 + 30491 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + 30445 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 31383 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 30486 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 90503 |
[mark#(x1)] | = | 0 |
[0] | = | 3491 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 30449 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 30456 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 30441 |
[U33(x1, x2, x3)] | = | 30443 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + x3 + 31387 |
[isNat(x1)] | = | x1 + 892 |
[plus(x1, x2)] | = | x1 + 30487 |
[U15(x1, x2)] | = | x1 + 60948 |
[U61(x1, x2)] | = | x1 + x2 + 3 |
[U51#(x1)] | = | x1 + 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 30439 |
[U92(x1)] | = | 3489 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 923 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 29597 |
[U82(x1, x2, x3)] | = | x1 + 60050 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 30451 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 31385 |
[U22(x1, x2)] | = | 26738 |
[U51(x1)] | = | x1 + 90473 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 30489 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U101(X1,mark(X2),X3) | → | U101(X1,X2,X3) | (85) |
U92(active(X)) | → | U92(X) | (243) |
U101(active(X1),X2,X3) | → | U101(X1,X2,X3) | (87) |
U101(mark(X1),X2,X3) | → | U101(X1,X2,X3) | (84) |
U101(X1,active(X2),X3) | → | U101(X1,X2,X3) | (88) |
U101(X1,X2,active(X3)) | → | U101(X1,X2,X3) | (89) |
U23(mark(X)) | → | U23(X) | (158) |
U101(X1,X2,mark(X3)) | → | U101(X1,X2,X3) | (86) |
U51#(active(X)) | → | U51#(X) | (434) |
U51#(mark(X)) | → | U51#(X) | (283) |
The dependency pairs are split into 0 components.
U13#(X1,mark(X2),X3) | → | U13#(X1,X2,X3) | (568) |
U13#(X1,X2,active(X3)) | → | U13#(X1,X2,X3) | (554) |
U13#(X1,active(X2),X3) | → | U13#(X1,X2,X3) | (535) |
U13#(active(X1),X2,X3) | → | U13#(X1,X2,X3) | (460) |
U13#(mark(X1),X2,X3) | → | U13#(X1,X2,X3) | (365) |
U13#(X1,X2,mark(X3)) | → | U13#(X1,X2,X3) | (300) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 0 |
[U16(x1)] | = | x1 + 68 |
[U21(x1, x2)] | = | x2 + 2 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 28 |
[s(x1)] | = | x1 + 57 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 1 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 31341 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 3 |
[U103(x1, x2, x3)] | = | x1 + 6 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 64 |
[U23(x1)] | = | 6 |
[U35(x1, x2)] | = | x2 + 12 |
[U72(x1, x2)] | = | x1 + x2 + 58035 |
[U13#(x1, x2, x3)] | = | x2 + x3 + 0 |
[U34(x1, x2, x3)] | = | x2 + 10 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 30 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 24 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 62 |
[mark#(x1)] | = | 0 |
[0] | = | 7 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 14 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 28801 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 6 |
[U33(x1, x2, x3)] | = | 8 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + x3 + 34 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | x1 + 25 |
[U15(x1, x2)] | = | x1 + 51 |
[U61(x1, x2)] | = | x1 + x2 + 28783 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 4 |
[U92(x1)] | = | 5 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 5 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 26 |
[U82(x1, x2, x3)] | = | x1 + 44 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 16 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 32 |
[U22(x1, x2)] | = | 4 |
[U51(x1)] | = | x1 + 59 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 23223 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U101(X1,mark(X2),X3) | → | U101(X1,X2,X3) | (85) |
U92(active(X)) | → | U92(X) | (243) |
U101(active(X1),X2,X3) | → | U101(X1,X2,X3) | (87) |
U101(mark(X1),X2,X3) | → | U101(X1,X2,X3) | (84) |
U101(X1,active(X2),X3) | → | U101(X1,X2,X3) | (88) |
U101(X1,X2,active(X3)) | → | U101(X1,X2,X3) | (89) |
U23(mark(X)) | → | U23(X) | (158) |
U101(X1,X2,mark(X3)) | → | U101(X1,X2,X3) | (86) |
U13#(X1,mark(X2),X3) | → | U13#(X1,X2,X3) | (568) |
U13#(X1,X2,active(X3)) | → | U13#(X1,X2,X3) | (554) |
U13#(X1,active(X2),X3) | → | U13#(X1,X2,X3) | (535) |
U13#(X1,X2,mark(X3)) | → | U13#(X1,X2,X3) | (300) |
The dependency pairs are split into 1 component.
U13#(active(X1),X2,X3) | → | U13#(X1,X2,X3) | (460) |
U13#(mark(X1),X2,X3) | → | U13#(X1,X2,X3) | (365) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 0 |
[U16(x1)] | = | x1 + 74 |
[U21(x1, x2)] | = | x2 + 3 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 31 |
[s(x1)] | = | x1 + 63 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 12 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 11264 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 3 |
[U103(x1, x2, x3)] | = | x1 + 3 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 67 |
[U23(x1)] | = | 17 |
[U35(x1, x2)] | = | x2 + 15 |
[U72(x1, x2)] | = | x1 + x2 + 24549 |
[U13#(x1, x2, x3)] | = | x1 + 0 |
[U34(x1, x2, x3)] | = | x2 + 13 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 33 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 24 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 65 |
[mark#(x1)] | = | 0 |
[0] | = | 7 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 17 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 24 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 9 |
[U33(x1, x2, x3)] | = | 11 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + x3 + 37 |
[isNat(x1)] | = | x1 + 4 |
[plus(x1, x2)] | = | x1 + 25 |
[U15(x1, x2)] | = | x1 + 54 |
[U61(x1, x2)] | = | x1 + x2 + 3 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 7 |
[U92(x1)] | = | 5 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 5 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 23 |
[U82(x1, x2, x3)] | = | x1 + 44 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 19 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 35 |
[U22(x1, x2)] | = | 15 |
[U51(x1)] | = | x1 + 65 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 19471 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U101(X1,mark(X2),X3) | → | U101(X1,X2,X3) | (85) |
U92(active(X)) | → | U92(X) | (243) |
U101(active(X1),X2,X3) | → | U101(X1,X2,X3) | (87) |
U101(mark(X1),X2,X3) | → | U101(X1,X2,X3) | (84) |
U101(X1,active(X2),X3) | → | U101(X1,X2,X3) | (88) |
U101(X1,X2,active(X3)) | → | U101(X1,X2,X3) | (89) |
U23(mark(X)) | → | U23(X) | (158) |
U101(X1,X2,mark(X3)) | → | U101(X1,X2,X3) | (86) |
U13#(active(X1),X2,X3) | → | U13#(X1,X2,X3) | (460) |
U13#(mark(X1),X2,X3) | → | U13#(X1,X2,X3) | (365) |
The dependency pairs are split into 0 components.
U12#(X1,X2,active(X3)) | → | U12#(X1,X2,X3) | (570) |
U12#(X1,mark(X2),X3) | → | U12#(X1,X2,X3) | (514) |
U12#(active(X1),X2,X3) | → | U12#(X1,X2,X3) | (507) |
U12#(mark(X1),X2,X3) | → | U12#(X1,X2,X3) | (408) |
U12#(X1,active(X2),X3) | → | U12#(X1,X2,X3) | (401) |
U12#(X1,X2,mark(X3)) | → | U12#(X1,X2,X3) | (299) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 0 |
[U16(x1)] | = | x1 + 68 |
[U21(x1, x2)] | = | x2 + 1 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 28 |
[s(x1)] | = | x1 + 11675 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 1 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 27 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 3 |
[U103(x1, x2, x3)] | = | x1 + 6 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 11682 |
[U23(x1)] | = | 13 |
[U35(x1, x2)] | = | x2 + 12 |
[U72(x1, x2)] | = | x1 + x2 + 120 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + 10 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 30 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 24 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | x1 + x2 + x3 + 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 11680 |
[mark#(x1)] | = | 0 |
[0] | = | 7 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 14 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 21 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 6 |
[U33(x1, x2, x3)] | = | 8 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + x3 + 34 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | x1 + 25 |
[U15(x1, x2)] | = | x1 + 51 |
[U61(x1, x2)] | = | x1 + x2 + 3 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 4 |
[U92(x1)] | = | 5 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 5 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 2686 |
[U82(x1, x2, x3)] | = | x1 + 11662 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 16 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 32 |
[U22(x1, x2)] | = | 11 |
[U51(x1)] | = | x1 + 11677 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 16075 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U101(X1,mark(X2),X3) | → | U101(X1,X2,X3) | (85) |
U92(active(X)) | → | U92(X) | (243) |
U101(active(X1),X2,X3) | → | U101(X1,X2,X3) | (87) |
U101(mark(X1),X2,X3) | → | U101(X1,X2,X3) | (84) |
U101(X1,active(X2),X3) | → | U101(X1,X2,X3) | (88) |
U101(X1,X2,active(X3)) | → | U101(X1,X2,X3) | (89) |
U23(mark(X)) | → | U23(X) | (158) |
U101(X1,X2,mark(X3)) | → | U101(X1,X2,X3) | (86) |
U12#(X1,X2,active(X3)) | → | U12#(X1,X2,X3) | (570) |
U12#(X1,mark(X2),X3) | → | U12#(X1,X2,X3) | (514) |
U12#(active(X1),X2,X3) | → | U12#(X1,X2,X3) | (507) |
U12#(mark(X1),X2,X3) | → | U12#(X1,X2,X3) | (408) |
U12#(X1,active(X2),X3) | → | U12#(X1,X2,X3) | (401) |
U12#(X1,X2,mark(X3)) | → | U12#(X1,X2,X3) | (299) |
The dependency pairs are split into 0 components.
U92#(active(X)) | → | U92#(X) | (603) |
U92#(mark(X)) | → | U92#(X) | (591) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 0 |
[U16(x1)] | = | x1 + 73 |
[U21(x1, x2)] | = | x2 + 1 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 33 |
[s(x1)] | = | x1 + 52728 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 2 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 27 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | x1 + 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 3 |
[U103(x1, x2, x3)] | = | x1 + 1 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 52730 |
[U23(x1)] | = | 8 |
[U35(x1, x2)] | = | x2 + 17 |
[U72(x1, x2)] | = | x1 + x2 + 29 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + 15 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 35 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 24 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 52728 |
[mark#(x1)] | = | 0 |
[0] | = | 9 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 19 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 29520 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 11 |
[U33(x1, x2, x3)] | = | 13 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + x3 + 39 |
[isNat(x1)] | = | x1 + 6 |
[plus(x1, x2)] | = | x1 + 25 |
[U15(x1, x2)] | = | x1 + 56 |
[U61(x1, x2)] | = | x1 + x2 + 29497 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 9 |
[U92(x1)] | = | 7 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 5 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 24740 |
[U82(x1, x2, x3)] | = | x1 + 52705 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 21 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 37 |
[U22(x1, x2)] | = | 6 |
[U51(x1)] | = | x1 + 52730 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 31037 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U101(X1,mark(X2),X3) | → | U101(X1,X2,X3) | (85) |
U92(active(X)) | → | U92(X) | (243) |
U101(active(X1),X2,X3) | → | U101(X1,X2,X3) | (87) |
U101(mark(X1),X2,X3) | → | U101(X1,X2,X3) | (84) |
U101(X1,active(X2),X3) | → | U101(X1,X2,X3) | (88) |
U101(X1,X2,active(X3)) | → | U101(X1,X2,X3) | (89) |
U23(mark(X)) | → | U23(X) | (158) |
U101(X1,X2,mark(X3)) | → | U101(X1,X2,X3) | (86) |
U92#(active(X)) | → | U92#(X) | (603) |
U92#(mark(X)) | → | U92#(X) | (591) |
The dependency pairs are split into 0 components.
U101#(X1,X2,mark(X3)) | → | U101#(X1,X2,X3) | (615) |
U101#(X1,active(X2),X3) | → | U101#(X1,X2,X3) | (614) |
U101#(X1,X2,active(X3)) | → | U101#(X1,X2,X3) | (604) |
U101#(active(X1),X2,X3) | → | U101#(X1,X2,X3) | (545) |
U101#(mark(X1),X2,X3) | → | U101#(X1,X2,X3) | (407) |
U101#(X1,mark(X2),X3) | → | U101#(X1,X2,X3) | (330) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 19410 |
[U16(x1)] | = | 19414 |
[U21(x1, x2)] | = | x2 + 8 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 19404 |
[s(x1)] | = | x1 + 38842 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 19414 |
[U91(x1, x2)] | = | 15504 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | x2 + 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 788 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 16286 |
[U103(x1, x2, x3)] | = | 16290 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 20216 |
[U23(x1)] | = | 4962 |
[U35(x1, x2)] | = | 13698 |
[U72(x1, x2)] | = | x2 + 20206 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 10630 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 19406 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 15502 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 16292 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 20208 |
[mark#(x1)] | = | 0 |
[0] | = | 15508 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 13700 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 19414 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 1503 |
[U33(x1, x2, x3)] | = | 1505 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 19410 |
[isNat(x1)] | = | 6 |
[plus(x1, x2)] | = | x1 + 792 |
[U15(x1, x2)] | = | x2 + 19412 |
[U61(x1, x2)] | = | 19412 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 8 |
[U92(x1)] | = | 15506 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 16288 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 788 |
[U82(x1, x2, x3)] | = | x1 + x2 + 796 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 19416 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 19408 |
[U22(x1, x2)] | = | 4960 |
[U51(x1)] | = | 19412 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 19412 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U101#(X1,active(X2),X3) | → | U101#(X1,X2,X3) | (614) |
U101#(X1,mark(X2),X3) | → | U101#(X1,X2,X3) | (330) |
The dependency pairs are split into 1 component.
U101#(active(X1),X2,X3) | → | U101#(X1,X2,X3) | (545) |
U101#(mark(X1),X2,X3) | → | U101#(X1,X2,X3) | (407) |
U101#(X1,X2,active(X3)) | → | U101#(X1,X2,X3) | (604) |
U101#(X1,X2,mark(X3)) | → | U101#(X1,X2,X3) | (615) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 6968 |
[U16(x1)] | = | 8847 |
[U21(x1, x2)] | = | x2 + 8837 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 8837 |
[s(x1)] | = | x1 + 3800 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 6980 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | x3 + 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 14275 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 23101 |
[U103(x1, x2, x3)] | = | 23105 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 18057 |
[U23(x1)] | = | 8841 |
[U35(x1, x2)] | = | 8845 |
[U72(x1, x2)] | = | x2 + 23126 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 8843 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 8839 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 23107 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 16174 |
[mark#(x1)] | = | 0 |
[0] | = | 34466 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 8847 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 8847 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 8839 |
[U33(x1, x2, x3)] | = | 8841 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 8843 |
[isNat(x1)] | = | 8835 |
[plus(x1, x2)] | = | x1 + 23108 |
[U15(x1, x2)] | = | x2 + 8845 |
[U61(x1, x2)] | = | 8845 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 8837 |
[U92(x1)] | = | 29997 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 23103 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 14275 |
[U82(x1, x2, x3)] | = | x1 + x2 + 16158 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 8849 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 8841 |
[U22(x1, x2)] | = | 8839 |
[U51(x1)] | = | 8847 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 6978 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U101#(X1,X2,active(X3)) | → | U101#(X1,X2,X3) | (604) |
U101#(X1,X2,mark(X3)) | → | U101#(X1,X2,X3) | (615) |
The dependency pairs are split into 1 component.
U101#(active(X1),X2,X3) | → | U101#(X1,X2,X3) | (545) |
U101#(mark(X1),X2,X3) | → | U101#(X1,X2,X3) | (407) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 27032 |
[U16(x1)] | = | 45915 |
[U21(x1, x2)] | = | x2 + 19528 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 30875 |
[s(x1)] | = | x1 + 123628 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 33048 |
[U91(x1, x2)] | = | 35390 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | x1 + 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 1528 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 35390 |
[U103(x1, x2, x3)] | = | 41406 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 86737 |
[U23(x1)] | = | 27508 |
[U35(x1, x2)] | = | 33312 |
[U72(x1, x2)] | = | x2 + 53459 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 28552 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 33883 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 32382 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 44414 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 61838 |
[mark#(x1)] | = | 0 |
[0] | = | 41406 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 36320 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 40222 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 22536 |
[U33(x1, x2, x3)] | = | 25544 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 39899 |
[isNat(x1)] | = | 16520 |
[plus(x1, x2)] | = | x1 + 15040 |
[U15(x1, x2)] | = | x2 + 42907 |
[U61(x1, x2)] | = | 30040 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 3008 |
[U31(x1, x2, x3)] | = | x2 + x3 + 19528 |
[U92(x1)] | = | 38398 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 38398 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 1528 |
[U82(x1, x2, x3)] | = | x1 + x2 + 26427 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 48923 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 36891 |
[U22(x1, x2)] | = | 24500 |
[U51(x1)] | = | 30040 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 30040 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U101#(active(X1),X2,X3) | → | U101#(X1,X2,X3) | (545) |
U101#(mark(X1),X2,X3) | → | U101#(X1,X2,X3) | (407) |
The dependency pairs are split into 0 components.
U23#(active(X)) | → | U23#(X) | (508) |
U23#(mark(X)) | → | U23#(X) | (373) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1230 |
[U16(x1)] | = | 1500 |
[U21(x1, x2)] | = | x2 + 825 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 825 |
[s(x1)] | = | x1 + 15091 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 1500 |
[U91(x1, x2)] | = | 26626 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 120 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 26626 |
[U103(x1, x2, x3)] | = | 26896 |
[U23#(x1)] | = | x1 + 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 2280 |
[U23(x1)] | = | 1095 |
[U35(x1, x2)] | = | 1365 |
[U72(x1, x2)] | = | x2 + 1890 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 1230 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 960 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 26491 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 27031 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 1740 |
[mark#(x1)] | = | 0 |
[0] | = | 26896 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 1500 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 1500 |
[mark(x1)] | = | x1 + 4586 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 960 |
[U33(x1, x2, x3)] | = | 1095 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 1230 |
[isNat(x1)] | = | 690 |
[plus(x1, x2)] | = | x1 + 675 |
[U15(x1, x2)] | = | x2 + 1365 |
[U61(x1, x2)] | = | 1365 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 4720 |
[U31(x1, x2, x3)] | = | x2 + x3 + 825 |
[U92(x1)] | = | 26761 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 26761 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 120 |
[U82(x1, x2, x3)] | = | x1 + x2 + 660 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1635 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 1095 |
[U22(x1, x2)] | = | 960 |
[U51(x1)] | = | 1365 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 1365 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U23#(active(X)) | → | U23#(X) | (508) |
U23#(mark(X)) | → | U23#(X) | (373) |
The dependency pairs are split into 0 components.
U83#(X1,X2,active(X3)) | → | U83#(X1,X2,X3) | (576) |
U83#(active(X1),X2,X3) | → | U83#(X1,X2,X3) | (549) |
U83#(X1,active(X2),X3) | → | U83#(X1,X2,X3) | (468) |
U83#(X1,mark(X2),X3) | → | U83#(X1,X2,X3) | (433) |
U83#(X1,X2,mark(X3)) | → | U83#(X1,X2,X3) | (411) |
U83#(mark(X1),X2,X3) | → | U83#(X1,X2,X3) | (258) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1 |
[U16(x1)] | = | 13 |
[U21(x1, x2)] | = | x2 + 4 |
[U83#(x1, x2, x3)] | = | x1 + x3 + 0 |
[U11(x1, x2, x3)] | = | x2 + 3 |
[s(x1)] | = | x1 + 66 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 13 |
[U91(x1, x2)] | = | 14921 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 11 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 3 |
[U103(x1, x2, x3)] | = | 7 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 59 |
[U23(x1)] | = | 13 |
[U35(x1, x2)] | = | 11 |
[U72(x1, x2)] | = | x2 + 28 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 9 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 5 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x3 + 9 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 43 |
[mark#(x1)] | = | 0 |
[0] | = | 26896 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 13 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 9 |
[mark(x1)] | = | x1 + 4586 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 5 |
[U33(x1, x2, x3)] | = | 7 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 9 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x1 + 10 |
[U15(x1, x2)] | = | x2 + 11 |
[U61(x1, x2)] | = | 3 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 4587 |
[U31(x1, x2, x3)] | = | x2 + x3 + 3 |
[U92(x1)] | = | 14923 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x3 + 5 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 11 |
[U82(x1, x2, x3)] | = | x1 + x2 + 27 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 15 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 7 |
[U22(x1, x2)] | = | 7 |
[U51(x1)] | = | 4 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 10 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U83#(X1,X2,active(X3)) | → | U83#(X1,X2,X3) | (576) |
U83#(active(X1),X2,X3) | → | U83#(X1,X2,X3) | (549) |
U83#(X1,X2,mark(X3)) | → | U83#(X1,X2,X3) | (411) |
U83#(mark(X1),X2,X3) | → | U83#(X1,X2,X3) | (258) |
The dependency pairs are split into 1 component.
U83#(X1,mark(X2),X3) | → | U83#(X1,X2,X3) | (433) |
U83#(X1,active(X2),X3) | → | U83#(X1,X2,X3) | (468) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1 |
[U16(x1)] | = | x1 + 1359 |
[U21(x1, x2)] | = | x2 + 60 |
[U83#(x1, x2, x3)] | = | x2 + 0 |
[U11(x1, x2, x3)] | = | x1 + x2 + 858 |
[s(x1)] | = | 28155 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 138 |
[U91(x1, x2)] | = | x1 + 930 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 3682 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 1887 |
[U103(x1, x2, x3)] | = | x1 + 1353 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 5909 |
[U23(x1)] | = | 511 |
[U35(x1, x2)] | = | x2 + 1533 |
[U72(x1, x2)] | = | x1 + x2 + 3477 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 2413 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x1 + 4109 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1752 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x3 + 2276 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 6990 |
[mark#(x1)] | = | 0 |
[0] | = | 28264 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | x1 + 1355 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 1481 |
[mark(x1)] | = | x1 + 4586 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 4339 |
[U33(x1, x2, x3)] | = | x1 + x3 + 2337 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + 2923 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x1 + 1324 |
[U15(x1, x2)] | = | x1 + 2067 |
[U61(x1, x2)] | = | x1 + x2 + 1672 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1107 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 1303 |
[U92(x1)] | = | 1146 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x3 + 2796 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 6057 |
[U82(x1, x2, x3)] | = | x1 + x2 + 6034 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + x2 + 2497 |
[U22(x1, x2)] | = | x1 + 2562 |
[U51(x1)] | = | 2191 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 1244 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U83#(X1,mark(X2),X3) | → | U83#(X1,X2,X3) | (433) |
U83#(X1,active(X2),X3) | → | U83#(X1,X2,X3) | (468) |
The dependency pairs are split into 0 components.
U32#(X1,X2,mark(X3)) | → | U32#(X1,X2,X3) | (386) |
U32#(X1,active(X2),X3) | → | U32#(X1,X2,X3) | (382) |
U32#(X1,mark(X2),X3) | → | U32#(X1,X2,X3) | (381) |
U32#(X1,X2,active(X3)) | → | U32#(X1,X2,X3) | (345) |
U32#(mark(X1),X2,X3) | → | U32#(X1,X2,X3) | (343) |
U32#(active(X1),X2,X3) | → | U32#(X1,X2,X3) | (250) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | x1 + x2 + x3 + 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | x1 + 743 |
[U21(x1, x2)] | = | x1 + 27973 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x3 + 7563 |
[s(x1)] | = | x1 + 2 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 12029 |
[U91(x1, x2)] | = | x1 + 14278 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 11923 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 9456 |
[U103(x1, x2, x3)] | = | 27677 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 9281 |
[U23(x1)] | = | 7699 |
[U35(x1, x2)] | = | 48841 |
[U72(x1, x2)] | = | x1 + x2 + 48264 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 5462 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x1 + 7461 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 5538 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + 53803 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 7592 |
[mark#(x1)] | = | 0 |
[0] | = | 11811 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 576 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 11378 |
[mark(x1)] | = | x1 + 48267 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 8291 |
[U33(x1, x2, x3)] | = | x1 + x3 + 7937 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + 17159 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x1 + 1 |
[U15(x1, x2)] | = | x1 + 6184 |
[U61(x1, x2)] | = | x1 + 3196 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 23869 |
[U92(x1)] | = | 175 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x3 + 14999 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 16751 |
[U82(x1, x2, x3)] | = | x1 + x2 + 26632 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + x2 + 5126 |
[U22(x1, x2)] | = | x1 + x2 + 12831 |
[U51(x1)] | = | 2394 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 7797 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U32#(X1,X2,mark(X3)) | → | U32#(X1,X2,X3) | (386) |
U32#(X1,active(X2),X3) | → | U32#(X1,X2,X3) | (382) |
U32#(X1,mark(X2),X3) | → | U32#(X1,X2,X3) | (381) |
U32#(X1,X2,active(X3)) | → | U32#(X1,X2,X3) | (345) |
U32#(mark(X1),X2,X3) | → | U32#(X1,X2,X3) | (343) |
U32#(active(X1),X2,X3) | → | U32#(X1,X2,X3) | (250) |
The dependency pairs are split into 0 components.
U35#(mark(X1),X2) | → | U35#(X1,X2) | (520) |
U35#(active(X1),X2) | → | U35#(X1,X2) | (349) |
U35#(X1,mark(X2)) | → | U35#(X1,X2) | (289) |
U35#(X1,active(X2)) | → | U35#(X1,X2) | (269) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | x1 + 16382 |
[U21(x1, x2)] | = | x1 + 18774 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x3 + 21883 |
[s(x1)] | = | x1 + 16919 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 3042 |
[U91(x1, x2)] | = | x1 + 17475 |
[U35#(x1, x2)] | = | x1 + 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 13698 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 1 |
[U103(x1, x2, x3)] | = | 7562 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 69290 |
[U23(x1)] | = | 19126 |
[U35(x1, x2)] | = | 28281 |
[U72(x1, x2)] | = | x1 + x2 + 39782 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 14324 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x1 + 31441 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + 22702 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 22272 |
[mark#(x1)] | = | 0 |
[0] | = | 8649 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 12843 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 4252 |
[mark(x1)] | = | x1 + 39785 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 19186 |
[U33(x1, x2, x3)] | = | x1 + x3 + 7077 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + 1 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x1 + 12589 |
[U15(x1, x2)] | = | x1 + 27810 |
[U61(x1, x2)] | = | x1 + 1 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 7151 |
[U92(x1)] | = | 48432 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x3 + 15171 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 6286 |
[U82(x1, x2, x3)] | = | x1 + x2 + 5045 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + x2 + 16649 |
[U22(x1, x2)] | = | x1 + x2 + 1 |
[U51(x1)] | = | 39784 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 4928 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U35#(mark(X1),X2) | → | U35#(X1,X2) | (520) |
U35#(active(X1),X2) | → | U35#(X1,X2) | (349) |
The dependency pairs are split into 1 component.
U35#(X1,active(X2)) | → | U35#(X1,X2) | (269) |
U35#(X1,mark(X2)) | → | U35#(X1,X2) | (289) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | x1 + 2324 |
[U21(x1, x2)] | = | x1 + 19273 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x3 + 25537 |
[s(x1)] | = | x1 + 49177 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 2863 |
[U91(x1, x2)] | = | x1 + 11829 |
[U35#(x1, x2)] | = | x2 + 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 3691 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 15128 |
[U103(x1, x2, x3)] | = | 9688 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 10355 |
[U23(x1)] | = | 17780 |
[U35(x1, x2)] | = | 2364 |
[U72(x1, x2)] | = | x1 + x2 + 46660 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 9597 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x1 + 22277 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 6096 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + 15274 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 57016 |
[mark#(x1)] | = | 0 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 2471 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 29034 |
[mark(x1)] | = | x1 + 46663 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 32326 |
[U33(x1, x2, x3)] | = | x1 + x3 + 25843 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + 9281 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x1 + 1 |
[U15(x1, x2)] | = | x1 + 7265 |
[U61(x1, x2)] | = | x1 + 17267 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 27820 |
[U92(x1)] | = | 6846 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + x3 + 5753 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 2758 |
[U82(x1, x2, x3)] | = | x1 + x2 + 29144 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + x2 + 23127 |
[U22(x1, x2)] | = | x1 + x2 + 11073 |
[U51(x1)] | = | 2517 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 8195 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U35#(X1,active(X2)) | → | U35#(X1,X2) | (269) |
U35#(X1,mark(X2)) | → | U35#(X1,X2) | (289) |
The dependency pairs are split into 0 components.
U61#(X1,active(X2)) | → | U61#(X1,X2) | (595) |
U61#(mark(X1),X2) | → | U61#(X1,X2) | (513) |
U61#(active(X1),X2) | → | U61#(X1,X2) | (266) |
U61#(X1,mark(X2)) | → | U61#(X1,X2) | (263) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | x1 + 1 |
[U21(x1, x2)] | = | x1 + 1 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x3 + 1 |
[s(x1)] | = | x1 + 2 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 2 |
[U91(x1, x2)] | = | x1 + 1 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 1 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 1 |
[U103(x1, x2, x3)] | = | 1 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[U23(x1)] | = | 1 |
[U35(x1, x2)] | = | 1 |
[U72(x1, x2)] | = | x1 + x2 + 1 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 1 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x1 + 1 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + 1 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 3 |
[mark#(x1)] | = | 0 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 1 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 3 |
[mark(x1)] | = | x1 + 21042 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 1 |
[U33(x1, x2, x3)] | = | x1 + x3 + 2 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + 1 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x1 + 1 |
[U15(x1, x2)] | = | x1 + 1 |
[U61(x1, x2)] | = | x1 + 1 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 21039 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[U92(x1)] | = | 1 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 1 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 1 |
[U82(x1, x2, x3)] | = | x1 + x2 + 1 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + x2 + 2 |
[U22(x1, x2)] | = | x1 + x2 + 2 |
[U51(x1)] | = | 1 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 1 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | x1 + x2 + 0 |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U61#(X1,active(X2)) | → | U61#(X1,X2) | (595) |
U61#(mark(X1),X2) | → | U61#(X1,X2) | (513) |
U61#(active(X1),X2) | → | U61#(X1,X2) | (266) |
U61#(X1,mark(X2)) | → | U61#(X1,X2) | (263) |
The dependency pairs are split into 0 components.
U21#(X1,active(X2)) | → | U21#(X1,X2) | (538) |
U21#(active(X1),X2) | → | U21#(X1,X2) | (485) |
U21#(mark(X1),X2) | → | U21#(X1,X2) | (421) |
U21#(X1,mark(X2)) | → | U21#(X1,X2) | (254) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | x1 + 1 |
[U21(x1, x2)] | = | x1 + 1 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x3 + 1 |
[s(x1)] | = | x1 + 1 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 2 |
[U91(x1, x2)] | = | x1 + 2 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | 1 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 3 |
[U103(x1, x2, x3)] | = | x3 + 2 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x2 + x3 + 2 |
[U23(x1)] | = | 2 |
[U35(x1, x2)] | = | 2 |
[U72(x1, x2)] | = | x1 + x2 + 1 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | 1 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x1 + 3 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 2 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 2 |
[mark#(x1)] | = | 0 |
[0] | = | 1 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 3 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 3 |
[mark(x1)] | = | x1 + 21042 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 2 |
[U33(x1, x2, x3)] | = | x1 + x3 + 1 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + 4 |
[isNat(x1)] | = | 1 |
[plus(x1, x2)] | = | x1 + 1 |
[U15(x1, x2)] | = | x1 + 2 |
[U61(x1, x2)] | = | x1 + 1 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 21039 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[U92(x1)] | = | 2 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 1 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | x1 + x2 + 0 |
[U81(x1, x2, x3)] | = | x1 + 3 |
[U82(x1, x2, x3)] | = | x1 + x2 + 1 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 1 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + x2 + 2 |
[U22(x1, x2)] | = | x1 + x2 + 1 |
[U51(x1)] | = | 1 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 1 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U21#(X1,active(X2)) | → | U21#(X1,X2) | (538) |
U21#(active(X1),X2) | → | U21#(X1,X2) | (485) |
U21#(mark(X1),X2) | → | U21#(X1,X2) | (421) |
U21#(X1,mark(X2)) | → | U21#(X1,X2) | (254) |
The dependency pairs are split into 0 components.
U34#(X1,mark(X2),X3) | → | U34#(X1,X2,X3) | (600) |
U34#(X1,active(X2),X3) | → | U34#(X1,X2,X3) | (565) |
U34#(X1,X2,active(X3)) | → | U34#(X1,X2,X3) | (529) |
U34#(mark(X1),X2,X3) | → | U34#(X1,X2,X3) | (482) |
U34#(X1,X2,mark(X3)) | → | U34#(X1,X2,X3) | (367) |
U34#(active(X1),X2,X3) | → | U34#(X1,X2,X3) | (350) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 4834 |
[U16(x1)] | = | 10577 |
[U21(x1, x2)] | = | x2 + 507 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x3 + 1 |
[s(x1)] | = | x1 + 25903 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 17249 |
[U91(x1, x2)] | = | x1 + 18705 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 10997 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 19210 |
[U103(x1, x2, x3)] | = | x3 + 24959 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 37401 |
[U23(x1)] | = | 10577 |
[U35(x1, x2)] | = | x2 + 10575 |
[U72(x1, x2)] | = | x2 + 21578 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + x3 + 10573 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x1 + 7983 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 19208 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 20127 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + 26820 |
[mark#(x1)] | = | 0 |
[0] | = | 5743 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 10577 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 19212 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 35378 |
[U33(x1, x2, x3)] | = | x1 + 41125 |
[U34#(x1, x2, x3)] | = | x2 + x3 + 0 |
[U14(x1, x2, x3)] | = | x1 + x2 + 19477 |
[isNat(x1)] | = | 505 |
[plus(x1, x2)] | = | x1 + 11500 |
[U15(x1, x2)] | = | x1 + x2 + 29553 |
[U61(x1, x2)] | = | x2 + 24044 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x1 + x3 + 29631 |
[U92(x1)] | = | x1 + 24452 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 14378 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 10997 |
[U82(x1, x2, x3)] | = | x1 + x3 + 16744 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 10579 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x1 + 13730 |
[U22(x1, x2)] | = | 10575 |
[U51(x1)] | = | x1 + 25905 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 11502 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U42(active(X)) | → | U42(X) | (195) |
U23(active(X)) | → | U23(X) | (159) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
isNatKind(mark(X)) | → | isNatKind(X) | (96) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
isNatKind(active(X)) | → | isNatKind(X) | (97) |
U16(active(X)) | → | U16(X) | (149) |
U34#(X1,mark(X2),X3) | → | U34#(X1,X2,X3) | (600) |
U34#(X1,active(X2),X3) | → | U34#(X1,X2,X3) | (565) |
U34#(X1,X2,active(X3)) | → | U34#(X1,X2,X3) | (529) |
U34#(X1,X2,mark(X3)) | → | U34#(X1,X2,X3) | (367) |
The dependency pairs are split into 1 component.
U34#(active(X1),X2,X3) | → | U34#(X1,X2,X3) | (350) |
U34#(mark(X1),X2,X3) | → | U34#(X1,X2,X3) | (482) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 18 |
[U16(x1)] | = | 27 |
[U21(x1, x2)] | = | x2 + 23 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 17 |
[s(x1)] | = | x1 + 20 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 27059 |
[U91(x1, x2)] | = | x1 + 1954 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 1626 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 2446 |
[U103(x1, x2, x3)] | = | x1 + 38110 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 32 |
[U23(x1)] | = | 27 |
[U35(x1, x2)] | = | x2 + 19 |
[U72(x1, x2)] | = | x1 + x2 + 11736 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + x3 + 17 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 19 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 38123 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 1 |
[mark#(x1)] | = | 0 |
[0] | = | 18742 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 21 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 5190 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 13 |
[U33(x1, x2, x3)] | = | x3 + 15 |
[U34#(x1, x2, x3)] | = | x1 + 0 |
[U14(x1, x2, x3)] | = | x2 + 23 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | x1 + 14 |
[U15(x1, x2)] | = | x2 + 25 |
[U61(x1, x2)] | = | x2 + 20 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x3 + 11 |
[U92(x1)] | = | x1 + 10913 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 38080 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 31141 |
[U82(x1, x2, x3)] | = | x1 + x3 + 31154 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 29 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 21 |
[U22(x1, x2)] | = | 25 |
[U51(x1)] | = | x1 + 22426 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 27046 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U84(X1,X2,active(X3)) | → | U84(X1,X2,X3) | (235) |
U42(active(X)) | → | U42(X) | (195) |
U23(active(X)) | → | U23(X) | (159) |
U84(X1,mark(X2),X3) | → | U84(X1,X2,X3) | (231) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U84(active(X1),X2,X3) | → | U84(X1,X2,X3) | (233) |
U62(active(X)) | → | U62(X) | (203) |
isNatKind(mark(X)) | → | isNatKind(X) | (96) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U84(X1,active(X2),X3) | → | U84(X1,X2,X3) | (234) |
isNatKind(active(X)) | → | isNatKind(X) | (97) |
U84(mark(X1),X2,X3) | → | U84(X1,X2,X3) | (230) |
U16(active(X)) | → | U16(X) | (149) |
U84(X1,X2,mark(X3)) | → | U84(X1,X2,X3) | (232) |
U34#(active(X1),X2,X3) | → | U34#(X1,X2,X3) | (350) |
U34#(mark(X1),X2,X3) | → | U34#(X1,X2,X3) | (482) |
The dependency pairs are split into 0 components.
U31#(X1,active(X2),X3) | → | U31#(X1,X2,X3) | (536) |
U31#(X1,X2,mark(X3)) | → | U31#(X1,X2,X3) | (512) |
U31#(X1,X2,active(X3)) | → | U31#(X1,X2,X3) | (461) |
U31#(mark(X1),X2,X3) | → | U31#(X1,X2,X3) | (444) |
U31#(X1,mark(X2),X3) | → | U31#(X1,X2,X3) | (282) |
U31#(active(X1),X2,X3) | → | U31#(X1,X2,X3) | (276) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 27 |
[U16(x1)] | = | 27 |
[U21(x1, x2)] | = | x2 + 23 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 17 |
[s(x1)] | = | x1 + 20 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 2834 |
[U91(x1, x2)] | = | x1 + 2 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 31326 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 17 |
[U103(x1, x2, x3)] | = | x1 + 31 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 32 |
[U23(x1)] | = | 27 |
[U35(x1, x2)] | = | x2 + 23 |
[U72(x1, x2)] | = | x1 + x2 + 31330 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + x3 + 21 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 19 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 35 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 1 |
[mark#(x1)] | = | 0 |
[0] | = | 2609 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 25 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 11451 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 17 |
[U33(x1, x2, x3)] | = | x3 + 19 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 23 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | x1 + 14 |
[U15(x1, x2)] | = | x2 + 25 |
[U61(x1, x2)] | = | x2 + 11476 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x3 + 6 |
[U92(x1)] | = | x1 + 2578 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 1 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 5845 |
[U82(x1, x2, x3)] | = | x1 + x3 + 5849 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 29 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 21 |
[U22(x1, x2)] | = | 25 |
[U51(x1)] | = | x1 + 2 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 2 |
[U31#(x1, x2, x3)] | = | x1 + x2 + x3 + 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U84(X1,X2,active(X3)) | → | U84(X1,X2,X3) | (235) |
U42(active(X)) | → | U42(X) | (195) |
U23(active(X)) | → | U23(X) | (159) |
U84(X1,mark(X2),X3) | → | U84(X1,X2,X3) | (231) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U84(active(X1),X2,X3) | → | U84(X1,X2,X3) | (233) |
U62(active(X)) | → | U62(X) | (203) |
isNatKind(mark(X)) | → | isNatKind(X) | (96) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U84(X1,active(X2),X3) | → | U84(X1,X2,X3) | (234) |
isNatKind(active(X)) | → | isNatKind(X) | (97) |
U84(mark(X1),X2,X3) | → | U84(X1,X2,X3) | (230) |
U16(active(X)) | → | U16(X) | (149) |
U84(X1,X2,mark(X3)) | → | U84(X1,X2,X3) | (232) |
U31#(X1,active(X2),X3) | → | U31#(X1,X2,X3) | (536) |
U31#(X1,X2,mark(X3)) | → | U31#(X1,X2,X3) | (512) |
U31#(X1,X2,active(X3)) | → | U31#(X1,X2,X3) | (461) |
U31#(mark(X1),X2,X3) | → | U31#(X1,X2,X3) | (444) |
U31#(X1,mark(X2),X3) | → | U31#(X1,X2,X3) | (282) |
U31#(active(X1),X2,X3) | → | U31#(X1,X2,X3) | (276) |
The dependency pairs are split into 0 components.
U104#(X1,X2,mark(X3)) | → | U104#(X1,X2,X3) | (547) |
U104#(active(X1),X2,X3) | → | U104#(X1,X2,X3) | (456) |
U104#(X1,X2,active(X3)) | → | U104#(X1,X2,X3) | (422) |
U104#(X1,mark(X2),X3) | → | U104#(X1,X2,X3) | (417) |
U104#(mark(X1),X2,X3) | → | U104#(X1,X2,X3) | (375) |
U104#(X1,active(X2),X3) | → | U104#(X1,X2,X3) | (281) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 27 |
[U16(x1)] | = | 27 |
[U21(x1, x2)] | = | x2 + 23 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 17 |
[s(x1)] | = | x1 + 20 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 6 |
[U91(x1, x2)] | = | x1 + 31003 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | x1 + x2 + 0 |
[U71(x1, x2)] | = | x1 + 27130 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 26 |
[U103(x1, x2, x3)] | = | x1 + 31 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 32 |
[U23(x1)] | = | 27 |
[U35(x1, x2)] | = | x2 + 14 |
[U72(x1, x2)] | = | x1 + x2 + 27134 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + x3 + 12 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 19 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 35 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 1 |
[mark#(x1)] | = | 0 |
[0] | = | 56624 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 16 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 1854 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 8 |
[U33(x1, x2, x3)] | = | x3 + 10 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 23 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | x1 + 14 |
[U15(x1, x2)] | = | x2 + 25 |
[U61(x1, x2)] | = | x2 + 1879 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x3 + 5 |
[U92(x1)] | = | x1 + 56593 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 1 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 15 |
[U82(x1, x2, x3)] | = | x1 + x3 + 45 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 29 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 21 |
[U22(x1, x2)] | = | 25 |
[U51(x1)] | = | x1 + 2 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 2 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U84(X1,X2,active(X3)) | → | U84(X1,X2,X3) | (235) |
U42(active(X)) | → | U42(X) | (195) |
U23(active(X)) | → | U23(X) | (159) |
U84(X1,mark(X2),X3) | → | U84(X1,X2,X3) | (231) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U84(active(X1),X2,X3) | → | U84(X1,X2,X3) | (233) |
U62(active(X)) | → | U62(X) | (203) |
isNatKind(mark(X)) | → | isNatKind(X) | (96) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U84(X1,active(X2),X3) | → | U84(X1,X2,X3) | (234) |
isNatKind(active(X)) | → | isNatKind(X) | (97) |
U84(mark(X1),X2,X3) | → | U84(X1,X2,X3) | (230) |
U16(active(X)) | → | U16(X) | (149) |
U84(X1,X2,mark(X3)) | → | U84(X1,X2,X3) | (232) |
U104#(active(X1),X2,X3) | → | U104#(X1,X2,X3) | (456) |
U104#(X1,mark(X2),X3) | → | U104#(X1,X2,X3) | (417) |
U104#(mark(X1),X2,X3) | → | U104#(X1,X2,X3) | (375) |
U104#(X1,active(X2),X3) | → | U104#(X1,X2,X3) | (281) |
The dependency pairs are split into 1 component.
U104#(X1,X2,mark(X3)) | → | U104#(X1,X2,X3) | (547) |
U104#(X1,X2,active(X3)) | → | U104#(X1,X2,X3) | (422) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 91402 |
[U16(x1)] | = | 91402 |
[U21(x1, x2)] | = | x2 + 91398 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 83637 |
[s(x1)] | = | x1 + 91395 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | x1 + 1760 |
[U91(x1, x2)] | = | x1 + 20794 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | x3 + 0 |
[U71(x1, x2)] | = | x1 + 83635 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 41042 |
[U103(x1, x2, x3)] | = | x1 + 134211 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 143982 |
[U23(x1)] | = | 91402 |
[U35(x1, x2)] | = | x2 + 24432 |
[U72(x1, x2)] | = | x1 + x2 + 83639 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x2 + x3 + 24430 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 83639 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 20793 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 134215 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x3 + 52576 |
[mark#(x1)] | = | 0 |
[0] | = | 112204 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 24434 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | x1 + 4 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 24426 |
[U33(x1, x2, x3)] | = | x3 + 24428 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + 91398 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | x1 + 83634 |
[U15(x1, x2)] | = | x2 + 91400 |
[U61(x1, x2)] | = | x2 + 91404 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x3 + 24424 |
[U92(x1)] | = | x1 + 20798 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 42806 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x1 + 83635 |
[U82(x1, x2, x3)] | = | x1 + x3 + 83639 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 91404 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 83641 |
[U22(x1, x2)] | = | 91400 |
[U51(x1)] | = | x1 + 2652 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | x1 + 1756 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U84(X1,X2,active(X3)) | → | U84(X1,X2,X3) | (235) |
U42(active(X)) | → | U42(X) | (195) |
U23(active(X)) | → | U23(X) | (159) |
U84(X1,mark(X2),X3) | → | U84(X1,X2,X3) | (231) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U84(active(X1),X2,X3) | → | U84(X1,X2,X3) | (233) |
U62(active(X)) | → | U62(X) | (203) |
isNatKind(mark(X)) | → | isNatKind(X) | (96) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U84(X1,active(X2),X3) | → | U84(X1,X2,X3) | (234) |
isNatKind(active(X)) | → | isNatKind(X) | (97) |
U84(mark(X1),X2,X3) | → | U84(X1,X2,X3) | (230) |
U16(active(X)) | → | U16(X) | (149) |
U84(X1,X2,mark(X3)) | → | U84(X1,X2,X3) | (232) |
U104#(X1,X2,mark(X3)) | → | U104#(X1,X2,X3) | (547) |
U104#(X1,X2,active(X3)) | → | U104#(X1,X2,X3) | (422) |
The dependency pairs are split into 0 components.
U102#(active(X1),X2,X3) | → | U102#(X1,X2,X3) | (593) |
U102#(X1,X2,mark(X3)) | → | U102#(X1,X2,X3) | (573) |
U102#(X1,active(X2),X3) | → | U102#(X1,X2,X3) | (515) |
U102#(X1,mark(X2),X3) | → | U102#(X1,X2,X3) | (453) |
U102#(mark(X1),X2,X3) | → | U102#(X1,X2,X3) | (376) |
U102#(X1,X2,active(X3)) | → | U102#(X1,X2,X3) | (247) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 15 |
[U16(x1)] | = | 22 |
[U21(x1, x2)] | = | x2 + 12 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 12 |
[s(x1)] | = | x1 + 2242 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 19 |
[U91(x1, x2)] | = | 75444 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 27089 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 52859 |
[U103(x1, x2, x3)] | = | x2 + 52872 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 585 |
[U23(x1)] | = | x1 + 30632 |
[U35(x1, x2)] | = | x1 + x2 + 36942 |
[U72(x1, x2)] | = | x2 + 27115 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 36926 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 14 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + x2 + 50615 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + 52859 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 598 |
[mark#(x1)] | = | 0 |
[0] | = | 24827 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | x1 + 36958 |
[U102#(x1, x2, x3)] | = | x1 + x2 + x3 + 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 16793 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 36904 |
[U33(x1, x2, x3)] | = | x1 + x3 + 36915 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x3 + 18 |
[isNat(x1)] | = | 10 |
[plus(x1, x2)] | = | x1 + x2 + 2270 |
[U15(x1, x2)] | = | 20 |
[U61(x1, x2)] | = | x1 + 16767 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 36893 |
[U92(x1)] | = | 24825 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x1 + 52846 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 4514 |
[U82(x1, x2, x3)] | = | x1 + 4501 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 24 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 16 |
[U22(x1, x2)] | = | x1 + 30616 |
[U51(x1)] | = | 17 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 17 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U92(mark(X)) | → | U92(X) | (242) |
U23(active(X)) | → | U23(X) | (159) |
isNat(active(X)) | → | isNat(X) | (105) |
U92(active(X)) | → | U92(X) | (243) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U102#(active(X1),X2,X3) | → | U102#(X1,X2,X3) | (593) |
U102#(X1,X2,mark(X3)) | → | U102#(X1,X2,X3) | (573) |
U102#(X1,active(X2),X3) | → | U102#(X1,X2,X3) | (515) |
U102#(X1,mark(X2),X3) | → | U102#(X1,X2,X3) | (453) |
U102#(mark(X1),X2,X3) | → | U102#(X1,X2,X3) | (376) |
U102#(X1,X2,active(X3)) | → | U102#(X1,X2,X3) | (247) |
The dependency pairs are split into 0 components.
U82#(X1,active(X2),X3) | → | U82#(X1,X2,X3) | (546) |
U82#(active(X1),X2,X3) | → | U82#(X1,X2,X3) | (457) |
U82#(X1,mark(X2),X3) | → | U82#(X1,X2,X3) | (428) |
U82#(X1,X2,active(X3)) | → | U82#(X1,X2,X3) | (348) |
U82#(X1,X2,mark(X3)) | → | U82#(X1,X2,X3) | (264) |
U82#(mark(X1),X2,X3) | → | U82#(X1,X2,X3) | (257) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 5 |
[U16(x1)] | = | 25 |
[U21(x1, x2)] | = | x2 + 21 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 15 |
[s(x1)] | = | x1 + 18 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 21 |
[U91(x1, x2)] | = | 10 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | x1 + x3 + 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 7142 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 30 |
[U103(x1, x2, x3)] | = | x1 + x2 + 33 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 1 |
[U23(x1)] | = | 25 |
[U35(x1, x2)] | = | x2 + 85 |
[U72(x1, x2)] | = | x2 + 26308 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + 56 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 17 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 8 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 442 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 37030 |
[mark#(x1)] | = | 0 |
[0] | = | 14 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 87 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 17 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 35 |
[U33(x1, x2, x3)] | = | x1 + x3 + 32 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + x3 + 21 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | 12 |
[U15(x1, x2)] | = | x2 + 23 |
[U61(x1, x2)] | = | x2 + 15 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 6 |
[U92(x1)] | = | 12 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 32 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 15 |
[U82(x1, x2, x3)] | = | x1 + x3 + 12 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 27 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 19 |
[U22(x1, x2)] | = | 23 |
[U51(x1)] | = | 25 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 19 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U23(active(X)) | → | U23(X) | (159) |
isNat(active(X)) | → | isNat(X) | (105) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U82#(active(X1),X2,X3) | → | U82#(X1,X2,X3) | (457) |
U82#(X1,X2,active(X3)) | → | U82#(X1,X2,X3) | (348) |
U82#(X1,X2,mark(X3)) | → | U82#(X1,X2,X3) | (264) |
U82#(mark(X1),X2,X3) | → | U82#(X1,X2,X3) | (257) |
The dependency pairs are split into 1 component.
U82#(X1,mark(X2),X3) | → | U82#(X1,X2,X3) | (428) |
U82#(X1,active(X2),X3) | → | U82#(X1,X2,X3) | (546) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 35911 |
[U21(x1, x2)] | = | x2 + 35907 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 35901 |
[s(x1)] | = | x1 + 35903 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 35902 |
[U91(x1, x2)] | = | 18 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | x2 + 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 35897 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 18 |
[U103(x1, x2, x3)] | = | x1 + x2 + 20 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 35885 |
[U23(x1)] | = | 35911 |
[U35(x1, x2)] | = | x2 + 107764 |
[U72(x1, x2)] | = | x2 + 71812 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + 71849 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | 35903 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 16 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 35934 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 71813 |
[mark#(x1)] | = | 0 |
[0] | = | 22 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 107766 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 21 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 35934 |
[U33(x1, x2, x3)] | = | x1 + x3 + 35935 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + x3 + 35907 |
[isNat(x1)] | = | x1 + 2 |
[plus(x1, x2)] | = | 35897 |
[U15(x1, x2)] | = | x2 + 35909 |
[U61(x1, x2)] | = | x2 + 19 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 19 |
[U92(x1)] | = | 20 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 20 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 35899 |
[U82(x1, x2, x3)] | = | x1 + x3 + 35900 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 35913 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 35905 |
[U22(x1, x2)] | = | 35909 |
[U51(x1)] | = | 35911 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 35900 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U23(active(X)) | → | U23(X) | (159) |
isNat(active(X)) | → | isNat(X) | (105) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U82#(X1,mark(X2),X3) | → | U82#(X1,X2,X3) | (428) |
U82#(X1,active(X2),X3) | → | U82#(X1,X2,X3) | (546) |
The dependency pairs are split into 0 components.
U15#(mark(X1),X2) | → | U15#(X1,X2) | (481) |
U15#(X1,mark(X2)) | → | U15#(X1,X2) | (474) |
U15#(active(X1),X2) | → | U15#(X1,X2) | (339) |
U15#(X1,active(X2)) | → | U15#(X1,X2) | (311) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 1 |
[U16(x1)] | = | 25 |
[U21(x1, x2)] | = | x2 + 21 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 15 |
[s(x1)] | = | x1 + 18 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 21 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 13 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 6386 |
[U103(x1, x2, x3)] | = | x1 + x2 + 6389 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 1 |
[U23(x1)] | = | 25 |
[U35(x1, x2)] | = | x2 + 61879 |
[U72(x1, x2)] | = | x2 + 42 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + 61850 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 17 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 6417 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 32297 |
[mark#(x1)] | = | 0 |
[0] | = | 7 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 61881 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 12 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | x1 + x2 + 0 |
[U32(x1, x2, x3)] | = | x2 + 61821 |
[U33(x1, x2, x3)] | = | x1 + x3 + 61822 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + x3 + 21 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | 12 |
[U15(x1, x2)] | = | x2 + 23 |
[U61(x1, x2)] | = | x2 + 4 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 48798 |
[U92(x1)] | = | 5 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 6388 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 32268 |
[U82(x1, x2, x3)] | = | x1 + x3 + 32269 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 27 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 19 |
[U22(x1, x2)] | = | 23 |
[U51(x1)] | = | 21 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 19 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U23(active(X)) | → | U23(X) | (159) |
isNat(active(X)) | → | isNat(X) | (105) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U15#(mark(X1),X2) | → | U15#(X1,X2) | (481) |
U15#(X1,mark(X2)) | → | U15#(X1,X2) | (474) |
U15#(active(X1),X2) | → | U15#(X1,X2) | (339) |
U15#(X1,active(X2)) | → | U15#(X1,X2) | (311) |
The dependency pairs are split into 0 components.
U11#(X1,X2,active(X3)) | → | U11#(X1,X2,X3) | (620) |
U11#(X1,active(X2),X3) | → | U11#(X1,X2,X3) | (580) |
U11#(X1,mark(X2),X3) | → | U11#(X1,X2,X3) | (492) |
U11#(X1,X2,mark(X3)) | → | U11#(X1,X2,X3) | (491) |
U11#(mark(X1),X2,X3) | → | U11#(X1,X2,X3) | (371) |
U11#(active(X1),X2,X3) | → | U11#(X1,X2,X3) | (318) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | x1 + 3 |
[U16(x1)] | = | 25 |
[U21(x1, x2)] | = | x2 + 21 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + x3 + 15 |
[s(x1)] | = | x1 + 18 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 21 |
[U91(x1, x2)] | = | 14 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 2258 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 3 |
[U103(x1, x2, x3)] | = | x1 + x2 + 6 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x1 + x3 + 1 |
[U23(x1)] | = | 25 |
[U35(x1, x2)] | = | x2 + 38222 |
[U72(x1, x2)] | = | x2 + 11270 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + 55 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 17 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x1 + x2 + x3 + 32 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x1 + x2 + x3 + 4798 |
[mark#(x1)] | = | 0 |
[0] | = | 18 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 49122 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 8 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 30 |
[U33(x1, x2, x3)] | = | x1 + x3 + 29 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x2 + x3 + 21 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | 12 |
[U15(x1, x2)] | = | x2 + 23 |
[U61(x1, x2)] | = | x2 + 6 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | x1 + x2 + x3 + 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x1 + x2 + x3 + 1 |
[U92(x1)] | = | 16 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 5 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 4771 |
[U82(x1, x2, x3)] | = | x1 + x3 + 4770 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 27 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 19 |
[U22(x1, x2)] | = | 23 |
[U51(x1)] | = | 24 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 17 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U23(active(X)) | → | U23(X) | (159) |
isNat(active(X)) | → | isNat(X) | (105) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U23(mark(X)) | → | U23(X) | (158) |
U16(active(X)) | → | U16(X) | (149) |
U11#(X1,X2,active(X3)) | → | U11#(X1,X2,X3) | (620) |
U11#(X1,active(X2),X3) | → | U11#(X1,X2,X3) | (580) |
U11#(X1,mark(X2),X3) | → | U11#(X1,X2,X3) | (492) |
U11#(X1,X2,mark(X3)) | → | U11#(X1,X2,X3) | (491) |
U11#(mark(X1),X2,X3) | → | U11#(X1,X2,X3) | (371) |
U11#(active(X1),X2,X3) | → | U11#(X1,X2,X3) | (318) |
The dependency pairs are split into 0 components.
U33#(X1,active(X2),X3) | → | U33#(X1,X2,X3) | (588) |
U33#(X1,X2,active(X3)) | → | U33#(X1,X2,X3) | (540) |
U33#(active(X1),X2,X3) | → | U33#(X1,X2,X3) | (462) |
U33#(mark(X1),X2,X3) | → | U33#(X1,X2,X3) | (295) |
U33#(X1,mark(X2),X3) | → | U33#(X1,X2,X3) | (293) |
U33#(X1,X2,mark(X3)) | → | U33#(X1,X2,X3) | (288) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1 |
[U16(x1)] | = | 18 |
[U21(x1, x2)] | = | 14 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 37 |
[s(x1)] | = | x1 + 10 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 14 |
[U91(x1, x2)] | = | 7 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 33 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 7 |
[U103(x1, x2, x3)] | = | x1 + x2 + 9 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x3 + 41 |
[U23(x1)] | = | 18 |
[U35(x1, x2)] | = | x2 + 6 |
[U72(x1, x2)] | = | x1 + x2 + 2259 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + x3 + 52 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 39 |
[U33#(x1, x2, x3)] | = | x1 + x3 + 0 |
[x(x1, x2)] | = | x1 + 5 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 31 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 39 |
[mark#(x1)] | = | 0 |
[0] | = | 11 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 8 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 15 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 10 |
[U33(x1, x2, x3)] | = | x1 + 31 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x3 + 43 |
[isNat(x1)] | = | x1 + 2 |
[plus(x1, x2)] | = | 33 |
[U15(x1, x2)] | = | x1 + x2 + 43 |
[U61(x1, x2)] | = | x2 + 8 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 9 |
[U92(x1)] | = | 9 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 9 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 35 |
[U82(x1, x2, x3)] | = | 37 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 20 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 41 |
[U22(x1, x2)] | = | 16 |
[U51(x1)] | = | 17 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 12 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U92(active(X)) | → | U92(X) | (243) |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
U33#(X1,X2,active(X3)) | → | U33#(X1,X2,X3) | (540) |
U33#(active(X1),X2,X3) | → | U33#(X1,X2,X3) | (462) |
U33#(mark(X1),X2,X3) | → | U33#(X1,X2,X3) | (295) |
U33#(X1,X2,mark(X3)) | → | U33#(X1,X2,X3) | (288) |
The dependency pairs are split into 1 component.
U33#(X1,active(X2),X3) | → | U33#(X1,X2,X3) | (588) |
U33#(X1,mark(X2),X3) | → | U33#(X1,X2,X3) | (293) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1024 |
[U16(x1)] | = | 4696 |
[U21(x1, x2)] | = | 11353 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 32575 |
[s(x1)] | = | x1 + 10 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 10758 |
[U91(x1, x2)] | = | 10 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 9893 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 21206 |
[U103(x1, x2, x3)] | = | x1 + x2 + 9869 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x3 + 21240 |
[U23(x1)] | = | 11357 |
[U35(x1, x2)] | = | x2 + 1478 |
[U72(x1, x2)] | = | x1 + x2 + 20230 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + x3 + 52843 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 32577 |
[U33#(x1, x2, x3)] | = | x2 + 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 21230 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 21238 |
[mark#(x1)] | = | 0 |
[0] | = | 14 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 1480 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 3696 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 32169 |
[U33(x1, x2, x3)] | = | x1 + 42506 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x3 + 32581 |
[isNat(x1)] | = | x1 + 11341 |
[plus(x1, x2)] | = | 21232 |
[U15(x1, x2)] | = | x1 + x2 + 21242 |
[U61(x1, x2)] | = | x2 + 3691 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 11344 |
[U92(x1)] | = | 12 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 21208 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 21234 |
[U82(x1, x2, x3)] | = | 21236 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 11359 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 32579 |
[U22(x1, x2)] | = | 11355 |
[U51(x1)] | = | 2062 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 10756 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U92(active(X)) | → | U92(X) | (243) |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
U33#(X1,active(X2),X3) | → | U33#(X1,X2,X3) | (588) |
U33#(X1,mark(X2),X3) | → | U33#(X1,X2,X3) | (293) |
The dependency pairs are split into 0 components.
isNatKind#(mark(X)) | → | isNatKind#(X) | (317) |
isNatKind#(active(X)) | → | isNatKind#(X) | (319) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 17617 |
[U16(x1)] | = | 13092 |
[U21(x1, x2)] | = | 17617 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 46798 |
[s(x1)] | = | x1 + 7436 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 17621 |
[U91(x1, x2)] | = | 321 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 26440 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 29165 |
[U103(x1, x2, x3)] | = | x1 + x2 + 18990 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x3 + 44051 |
[U23(x1)] | = | 17621 |
[U35(x1, x2)] | = | x2 + 5243 |
[U72(x1, x2)] | = | x1 + x2 + 26448 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + x3 + 45796 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 46800 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 36615 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 36623 |
[mark#(x1)] | = | 0 |
[0] | = | 7442 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 5245 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 17621 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 31636 |
[U33(x1, x2, x3)] | = | x1 + 45788 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x3 + 46804 |
[isNat(x1)] | = | x1 + 10179 |
[plus(x1, x2)] | = | 36617 |
[U15(x1, x2)] | = | x1 + x2 + 36627 |
[U61(x1, x2)] | = | x2 + 17619 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 10182 |
[U92(x1)] | = | 7197 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 29167 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 36619 |
[U82(x1, x2, x3)] | = | 36621 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 17623 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 46802 |
[U22(x1, x2)] | = | 17619 |
[U51(x1)] | = | 17619 |
[isNatKind#(x1)] | = | x1 + 0 |
[U41(x1, x2)] | = | 17619 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U92(active(X)) | → | U92(X) | (243) |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
isNatKind#(mark(X)) | → | isNatKind#(X) | (317) |
isNatKind#(active(X)) | → | isNatKind#(X) | (319) |
The dependency pairs are split into 0 components.
s#(active(X)) | → | s#(X) | (442) |
s#(mark(X)) | → | s#(X) | (352) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1 |
[U16(x1)] | = | 2653 |
[U21(x1, x2)] | = | 4057 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 16027 |
[s(x1)] | = | x1 + 10 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 5 |
[U91(x1, x2)] | = | 7 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 7937 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + 11954 |
[U103(x1, x2, x3)] | = | x1 + x2 + 7913 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x3 + 11988 |
[U23(x1)] | = | 4061 |
[U35(x1, x2)] | = | x2 + 375 |
[U72(x1, x2)] | = | x1 + x2 + 12001 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + x3 + 12177 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 16029 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 11978 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 11986 |
[mark#(x1)] | = | 0 |
[0] | = | 16 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 377 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | x1 + 0 |
[U62(x1)] | = | 4055 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 4049 |
[U33(x1, x2, x3)] | = | x1 + 8113 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x3 + 16033 |
[isNat(x1)] | = | x1 + 4045 |
[plus(x1, x2)] | = | 11980 |
[U15(x1, x2)] | = | x1 + x2 + 11990 |
[U61(x1, x2)] | = | x2 + 3 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 4048 |
[U92(x1)] | = | 9 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 11956 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 11982 |
[U82(x1, x2, x3)] | = | 11984 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 4063 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 16031 |
[U22(x1, x2)] | = | 4059 |
[U51(x1)] | = | 3 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 3 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U92(active(X)) | → | U92(X) | (243) |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
s#(active(X)) | → | s#(X) | (442) |
s#(mark(X)) | → | s#(X) | (352) |
The dependency pairs are split into 0 components.
plus#(active(X1),X2) | → | plus#(X1,X2) | (501) |
plus#(X1,active(X2)) | → | plus#(X1,X2) | (431) |
plus#(X1,mark(X2)) | → | plus#(X1,X2) | (305) |
plus#(mark(X1),X2) | → | plus#(X1,X2) | (255) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 2 |
[U16(x1)] | = | 1 |
[U21(x1, x2)] | = | 13 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 32 |
[s(x1)] | = | x1 + 10 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 10 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + 30 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | x1 + 0 |
[U101(x1, x2, x3)] | = | x2 + 3 |
[U103(x1, x2, x3)] | = | x1 + x2 + 6 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x3 + 37 |
[U23(x1)] | = | 17 |
[U35(x1, x2)] | = | x2 + 1 |
[U72(x1, x2)] | = | x1 + x2 + 15594 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + x3 + 1652 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 34 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 27 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 35 |
[mark#(x1)] | = | 0 |
[0] | = | 7 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 16 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 6 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 5 |
[U33(x1, x2, x3)] | = | x1 + 26 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x3 + 38 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | 29 |
[U15(x1, x2)] | = | x1 + x2 + 39 |
[U61(x1, x2)] | = | x2 + 4 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 5 |
[U92(x1)] | = | 5 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 5 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 31 |
[U82(x1, x2, x3)] | = | 33 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 19 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 36 |
[U22(x1, x2)] | = | 15 |
[U51(x1)] | = | 4 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 4 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U92(active(X)) | → | U92(X) | (243) |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
plus#(active(X1),X2) | → | plus#(X1,X2) | (501) |
plus#(mark(X1),X2) | → | plus#(X1,X2) | (255) |
The dependency pairs are split into 1 component.
plus#(X1,mark(X2)) | → | plus#(X1,X2) | (305) |
plus#(X1,active(X2)) | → | plus#(X1,X2) | (431) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 1 |
[U16(x1)] | = | 2749 |
[U21(x1, x2)] | = | 20354 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x2 + 29444 |
[s(x1)] | = | x1 + 9224 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 4146 |
[U91(x1, x2)] | = | 3 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 29442 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | x2 + 0 |
[U101(x1, x2, x3)] | = | x2 + 9074 |
[U103(x1, x2, x3)] | = | x1 + x2 + 9077 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x3 + 38663 |
[U23(x1)] | = | 20358 |
[U35(x1, x2)] | = | x2 + 6187 |
[U72(x1, x2)] | = | x1 + x2 + 49803 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + x2 + x3 + 84564 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 29446 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | 29439 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 38661 |
[mark#(x1)] | = | 0 |
[0] | = | 7 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 6189 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 20358 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x1 + x2 + 43842 |
[U33(x1, x2, x3)] | = | x1 + 64203 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | x3 + 29450 |
[isNat(x1)] | = | x1 + 1 |
[plus(x1, x2)] | = | 29441 |
[U15(x1, x2)] | = | x1 + x2 + 29451 |
[U61(x1, x2)] | = | x2 + 2705 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 28359 |
[U92(x1)] | = | 5 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | 9076 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | x3 + 38657 |
[U82(x1, x2, x3)] | = | 38659 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 20360 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | 29448 |
[U22(x1, x2)] | = | 20356 |
[U51(x1)] | = | 9578 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 4144 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
U36(mark(X)) | → | U36(X) | (188) |
U36(active(X)) | → | U36(X) | (189) |
U92(mark(X)) | → | U92(X) | (242) |
U92(active(X)) | → | U92(X) | (243) |
U16(mark(X)) | → | U16(X) | (148) |
U16(active(X)) | → | U16(X) | (149) |
plus#(X1,mark(X2)) | → | plus#(X1,X2) | (305) |
plus#(X1,active(X2)) | → | plus#(X1,X2) | (431) |
The dependency pairs are split into 0 components.
x#(mark(X1),X2) | → | x#(X1,X2) | (564) |
x#(X1,mark(X2)) | → | x#(X1,X2) | (509) |
x#(active(X1),X2) | → | x#(X1,X2) | (322) |
x#(X1,active(X2)) | → | x#(X1,X2) | (297) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 60 |
[U16(x1)] | = | 64 |
[U21(x1, x2)] | = | 5 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x2 + 31283 |
[s(x1)] | = | x1 + 11323 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 64 |
[U91(x1, x2)] | = | x1 + 31970 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 18917 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 50818 |
[U103(x1, x2, x3)] | = | x1 + 50819 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 30239 |
[U23(x1)] | = | 9 |
[U35(x1, x2)] | = | x2 + 7378 |
[U72(x1, x2)] | = | x2 + 18985 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 7310 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 56 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 31971 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 50887 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 30237 |
[mark#(x1)] | = | 0 |
[0] | = | 32040 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 10 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | x1 + x2 + 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 64 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 7360 |
[U33(x1, x2, x3)] | = | x1 + x3 + 7302 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 60 |
[isNat(x1)] | = | 3 |
[plus(x1, x2)] | = | x1 + 18918 |
[U15(x1, x2)] | = | x2 + 62 |
[U61(x1, x2)] | = | 62 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 5 |
[U92(x1)] | = | 32038 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x2 + 50820 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 30227 |
[U82(x1, x2, x3)] | = | x1 + 30169 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 66 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 58 |
[U22(x1, x2)] | = | 7 |
[U51(x1)] | = | 65 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 62 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
isNat(active(X)) | → | isNat(X) | (105) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U16(active(X)) | → | U16(X) | (149) |
x#(mark(X1),X2) | → | x#(X1,X2) | (564) |
x#(X1,mark(X2)) | → | x#(X1,X2) | (509) |
x#(active(X1),X2) | → | x#(X1,X2) | (322) |
x#(X1,active(X2)) | → | x#(X1,X2) | (297) |
The dependency pairs are split into 0 components.
U36#(active(X)) | → | U36#(X) | (448) |
U36#(mark(X)) | → | U36#(X) | (284) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 2741 |
[U16(x1)] | = | 4967 |
[U21(x1, x2)] | = | 2741 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x2 + 7215 |
[s(x1)] | = | x1 + 11323 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 4967 |
[U91(x1, x2)] | = | x1 + 45929 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 12050 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 46283 |
[U103(x1, x2, x3)] | = | x1 + 48155 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 19082 |
[U23(x1)] | = | 4967 |
[U35(x1, x2)] | = | x2 + 12597 |
[U72(x1, x2)] | = | x2 + 19243 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 5404 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 515 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 45170 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 55348 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 17969 |
[mark#(x1)] | = | 0 |
[0] | = | 54235 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | x1 + 0 |
[U36(x1)] | = | 4040 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 4967 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 2580 |
[U33(x1, x2, x3)] | = | x1 + x3 + 952 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 2741 |
[isNat(x1)] | = | 354 |
[plus(x1, x2)] | = | x1 + 11291 |
[U15(x1, x2)] | = | x2 + 3854 |
[U61(x1, x2)] | = | 3854 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 1113 |
[U31(x1, x2, x3)] | = | x2 + x3 + 1467 |
[U92(x1)] | = | 53122 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x2 + 47396 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 12404 |
[U82(x1, x2, x3)] | = | x1 + 10776 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 6080 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 1628 |
[U22(x1, x2)] | = | 3854 |
[U51(x1)] | = | 4968 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 3854 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
isNat(active(X)) | → | isNat(X) | (105) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U16(active(X)) | → | U16(X) | (149) |
U36#(active(X)) | → | U36#(X) | (448) |
U36#(mark(X)) | → | U36#(X) | (284) |
The dependency pairs are split into 0 components.
isNat#(mark(X)) | → | isNat#(X) | (313) |
isNat#(active(X)) | → | isNat#(X) | (287) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 2980 |
[U16(x1)] | = | 2984 |
[U21(x1, x2)] | = | 2980 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x2 + 28699 |
[s(x1)] | = | x1 + 6089 |
[isNat#(x1)] | = | x1 + 0 |
[U42(x1)] | = | 2984 |
[U91(x1, x2)] | = | x1 + 17064 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 2980 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 17073 |
[U103(x1, x2, x3)] | = | x1 + 17068 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 3001 |
[U23(x1)] | = | 2984 |
[U35(x1, x2)] | = | x2 + 3994 |
[U72(x1, x2)] | = | x2 + 5968 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 1006 |
[U103#(x1, x2, x3)] | = | 0 |
[U12(x1, x2, x3)] | = | x3 + 1190 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 17071 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 20056 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 2999 |
[mark#(x1)] | = | 0 |
[0] | = | 20054 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 739 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 2984 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 3976 |
[U33(x1, x2, x3)] | = | x1 + x3 + 998 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 2979 |
[isNat(x1)] | = | 9 |
[plus(x1, x2)] | = | x1 + 2987 |
[U15(x1, x2)] | = | x2 + 2981 |
[U61(x1, x2)] | = | 2982 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 11 |
[U92(x1)] | = | 20052 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x2 + 17075 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 2989 |
[U82(x1, x2, x3)] | = | x1 + 11 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 2986 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 2977 |
[U22(x1, x2)] | = | 2982 |
[U51(x1)] | = | 2985 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 2982 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
isNat(active(X)) | → | isNat(X) | (105) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U16(active(X)) | → | U16(X) | (149) |
isNat#(mark(X)) | → | isNat#(X) | (313) |
isNat#(active(X)) | → | isNat#(X) | (287) |
The dependency pairs are split into 0 components.
U103#(mark(X1),X2,X3) | → | U103#(X1,X2,X3) | (544) |
U103#(X1,X2,mark(X3)) | → | U103#(X1,X2,X3) | (532) |
U103#(X1,active(X2),X3) | → | U103#(X1,X2,X3) | (398) |
U103#(active(X1),X2,X3) | → | U103#(X1,X2,X3) | (334) |
U103#(X1,X2,active(X3)) | → | U103#(X1,X2,X3) | (275) |
U103#(X1,mark(X2),X3) | → | U103#(X1,X2,X3) | (251) |
[U72#(x1, x2)] | = | 0 |
[U32#(x1, x2, x3)] | = | 0 |
[isNatKind(x1)] | = | 5 |
[U16(x1)] | = | 9 |
[U21(x1, x2)] | = | 5 |
[U83#(x1, x2, x3)] | = | 0 |
[U11(x1, x2, x3)] | = | x1 + x2 + 26594 |
[s(x1)] | = | x1 + 20 |
[isNat#(x1)] | = | 0 |
[U42(x1)] | = | 9 |
[U91(x1, x2)] | = | x1 + 3741 |
[U35#(x1, x2)] | = | 0 |
[U101#(x1, x2, x3)] | = | 0 |
[U82#(x1, x2, x3)] | = | 0 |
[U104#(x1, x2, x3)] | = | 0 |
[U71(x1, x2)] | = | x1 + x2 + 25 |
[U81#(x1, x2, x3)] | = | 0 |
[U92#(x1)] | = | 0 |
[plus#(x1, x2)] | = | 0 |
[U101(x1, x2, x3)] | = | x2 + x3 + 3 |
[U103(x1, x2, x3)] | = | x1 + 12 |
[U23#(x1)] | = | 0 |
[U84(x1, x2, x3)] | = | x2 + x3 + 40 |
[U23(x1)] | = | 9 |
[U35(x1, x2)] | = | x2 + 18812 |
[U72(x1, x2)] | = | x2 + 46 |
[U13#(x1, x2, x3)] | = | 0 |
[U34(x1, x2, x3)] | = | x1 + 12 |
[U103#(x1, x2, x3)] | = | x1 + x2 + x3 + 0 |
[U12(x1, x2, x3)] | = | x3 + 1 |
[U33#(x1, x2, x3)] | = | 0 |
[x(x1, x2)] | = | x1 + 1 |
[U16#(x1)] | = | 0 |
[U104(x1, x2, x3)] | = | x2 + x3 + 25 |
[U42#(x1)] | = | 0 |
[U12#(x1, x2, x3)] | = | 0 |
[U62#(x1)] | = | 0 |
[U83(x1, x2, x3)] | = | x2 + x3 + 38 |
[mark#(x1)] | = | 0 |
[0] | = | 20054 |
[U14#(x1, x2, x3)] | = | 0 |
[U36#(x1)] | = | 0 |
[U36(x1)] | = | 9 |
[U102#(x1, x2, x3)] | = | 0 |
[x#(x1, x2)] | = | 0 |
[s#(x1)] | = | 0 |
[U62(x1)] | = | 9 |
[mark(x1)] | = | x1 + 1 |
[U15#(x1, x2)] | = | 0 |
[U32(x1, x2, x3)] | = | x2 + 7 |
[U33(x1, x2, x3)] | = | x1 + x3 + 4 |
[U34#(x1, x2, x3)] | = | 0 |
[U14(x1, x2, x3)] | = | 5 |
[isNat(x1)] | = | 3 |
[plus(x1, x2)] | = | x1 + 26 |
[U15(x1, x2)] | = | x2 + 7 |
[U61(x1, x2)] | = | 7 |
[U51#(x1)] | = | 0 |
[U11#(x1, x2, x3)] | = | 0 |
[active(x1)] | = | x1 + 2 |
[U31(x1, x2, x3)] | = | x2 + x3 + 5 |
[U92(x1)] | = | 9473 |
[U41#(x1, x2)] | = | 0 |
[U102(x1, x2, x3)] | = | x2 + 13 |
[active#(x1)] | = | 0 |
[U21#(x1, x2)] | = | 0 |
[U81(x1, x2, x3)] | = | 28 |
[U82(x1, x2, x3)] | = | x1 + 25 |
[U22#(x1, x2)] | = | 0 |
[tt] | = | 11 |
[U84#(x1, x2, x3)] | = | 0 |
[U71#(x1, x2)] | = | 0 |
[U13(x1, x2, x3)] | = | x2 + 3 |
[U22(x1, x2)] | = | 7 |
[U51(x1)] | = | 10 |
[isNatKind#(x1)] | = | 0 |
[U41(x1, x2)] | = | 7 |
[U31#(x1, x2, x3)] | = | 0 |
[U91#(x1, x2)] | = | 0 |
[U61#(x1, x2)] | = | 0 |
isNat(mark(X)) | → | isNat(X) | (104) |
U42(active(X)) | → | U42(X) | (195) |
U92(mark(X)) | → | U92(X) | (242) |
isNat(active(X)) | → | isNat(X) | (105) |
U92(active(X)) | → | U92(X) | (243) |
U42(mark(X)) | → | U42(X) | (194) |
U16(mark(X)) | → | U16(X) | (148) |
U62(active(X)) | → | U62(X) | (203) |
U62(mark(X)) | → | U62(X) | (202) |
U16(active(X)) | → | U16(X) | (149) |
U103#(mark(X1),X2,X3) | → | U103#(X1,X2,X3) | (544) |
U103#(X1,X2,mark(X3)) | → | U103#(X1,X2,X3) | (532) |
U103#(X1,active(X2),X3) | → | U103#(X1,X2,X3) | (398) |
U103#(active(X1),X2,X3) | → | U103#(X1,X2,X3) | (334) |
U103#(X1,X2,active(X3)) | → | U103#(X1,X2,X3) | (275) |
U103#(X1,mark(X2),X3) | → | U103#(X1,X2,X3) | (251) |
The dependency pairs are split into 0 components.