/export/starexec/sandbox/solver/bin/starexec_run_tct_dci /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: U101(X1,X2,active(X3)) -> U101(X1,X2,X3) U101(X1,X2,mark(X3)) -> U101(X1,X2,X3) U101(X1,active(X2),X3) -> U101(X1,X2,X3) U101(X1,mark(X2),X3) -> U101(X1,X2,X3) U101(active(X1),X2,X3) -> U101(X1,X2,X3) U101(mark(X1),X2,X3) -> U101(X1,X2,X3) U102(X1,X2,active(X3)) -> U102(X1,X2,X3) U102(X1,X2,mark(X3)) -> U102(X1,X2,X3) U102(X1,active(X2),X3) -> U102(X1,X2,X3) U102(X1,mark(X2),X3) -> U102(X1,X2,X3) U102(active(X1),X2,X3) -> U102(X1,X2,X3) U102(mark(X1),X2,X3) -> U102(X1,X2,X3) U103(X1,X2,active(X3)) -> U103(X1,X2,X3) U103(X1,X2,mark(X3)) -> U103(X1,X2,X3) U103(X1,active(X2),X3) -> U103(X1,X2,X3) U103(X1,mark(X2),X3) -> U103(X1,X2,X3) U103(active(X1),X2,X3) -> U103(X1,X2,X3) U103(mark(X1),X2,X3) -> U103(X1,X2,X3) U104(X1,X2,active(X3)) -> U104(X1,X2,X3) U104(X1,X2,mark(X3)) -> U104(X1,X2,X3) U104(X1,active(X2),X3) -> U104(X1,X2,X3) U104(X1,mark(X2),X3) -> U104(X1,X2,X3) U104(active(X1),X2,X3) -> U104(X1,X2,X3) U104(mark(X1),X2,X3) -> U104(X1,X2,X3) U11(X1,X2,active(X3)) -> U11(X1,X2,X3) U11(X1,X2,mark(X3)) -> U11(X1,X2,X3) U11(X1,active(X2),X3) -> U11(X1,X2,X3) U11(X1,mark(X2),X3) -> U11(X1,X2,X3) U11(active(X1),X2,X3) -> U11(X1,X2,X3) U11(mark(X1),X2,X3) -> U11(X1,X2,X3) U12(X1,X2,active(X3)) -> U12(X1,X2,X3) U12(X1,X2,mark(X3)) -> U12(X1,X2,X3) U12(X1,active(X2),X3) -> U12(X1,X2,X3) U12(X1,mark(X2),X3) -> U12(X1,X2,X3) U12(active(X1),X2,X3) -> U12(X1,X2,X3) U12(mark(X1),X2,X3) -> U12(X1,X2,X3) U13(X1,X2,active(X3)) -> U13(X1,X2,X3) U13(X1,X2,mark(X3)) -> U13(X1,X2,X3) U13(X1,active(X2),X3) -> U13(X1,X2,X3) U13(X1,mark(X2),X3) -> U13(X1,X2,X3) U13(active(X1),X2,X3) -> U13(X1,X2,X3) U13(mark(X1),X2,X3) -> U13(X1,X2,X3) U14(X1,X2,active(X3)) -> U14(X1,X2,X3) U14(X1,X2,mark(X3)) -> U14(X1,X2,X3) U14(X1,active(X2),X3) -> U14(X1,X2,X3) U14(X1,mark(X2),X3) -> U14(X1,X2,X3) U14(active(X1),X2,X3) -> U14(X1,X2,X3) U14(mark(X1),X2,X3) -> U14(X1,X2,X3) U15(X1,active(X2)) -> U15(X1,X2) U15(X1,mark(X2)) -> U15(X1,X2) U15(active(X1),X2) -> U15(X1,X2) U15(mark(X1),X2) -> U15(X1,X2) U16(active(X)) -> U16(X) U16(mark(X)) -> U16(X) U21(X1,active(X2)) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(mark(X1),X2) -> U21(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U23(active(X)) -> U23(X) U23(mark(X)) -> U23(X) U31(X1,X2,active(X3)) -> U31(X1,X2,X3) U31(X1,X2,mark(X3)) -> U31(X1,X2,X3) U31(X1,active(X2),X3) -> U31(X1,X2,X3) U31(X1,mark(X2),X3) -> U31(X1,X2,X3) U31(active(X1),X2,X3) -> U31(X1,X2,X3) U31(mark(X1),X2,X3) -> U31(X1,X2,X3) U32(X1,X2,active(X3)) -> U32(X1,X2,X3) U32(X1,X2,mark(X3)) -> U32(X1,X2,X3) U32(X1,active(X2),X3) -> U32(X1,X2,X3) U32(X1,mark(X2),X3) -> U32(X1,X2,X3) U32(active(X1),X2,X3) -> U32(X1,X2,X3) U32(mark(X1),X2,X3) -> U32(X1,X2,X3) U33(X1,X2,active(X3)) -> U33(X1,X2,X3) U33(X1,X2,mark(X3)) -> U33(X1,X2,X3) U33(X1,active(X2),X3) -> U33(X1,X2,X3) U33(X1,mark(X2),X3) -> U33(X1,X2,X3) U33(active(X1),X2,X3) -> U33(X1,X2,X3) U33(mark(X1),X2,X3) -> U33(X1,X2,X3) U34(X1,X2,active(X3)) -> U34(X1,X2,X3) U34(X1,X2,mark(X3)) -> U34(X1,X2,X3) U34(X1,active(X2),X3) -> U34(X1,X2,X3) U34(X1,mark(X2),X3) -> U34(X1,X2,X3) U34(active(X1),X2,X3) -> U34(X1,X2,X3) U34(mark(X1),X2,X3) -> U34(X1,X2,X3) U35(X1,active(X2)) -> U35(X1,X2) U35(X1,mark(X2)) -> U35(X1,X2) U35(active(X1),X2) -> U35(X1,X2) U35(mark(X1),X2) -> U35(X1,X2) U36(active(X)) -> U36(X) U36(mark(X)) -> U36(X) U41(X1,active(X2)) -> U41(X1,X2) U41(X1,mark(X2)) -> U41(X1,X2) U41(active(X1),X2) -> U41(X1,X2) U41(mark(X1),X2) -> U41(X1,X2) U42(active(X)) -> U42(X) U42(mark(X)) -> U42(X) U51(active(X)) -> U51(X) U51(mark(X)) -> U51(X) U61(X1,active(X2)) -> U61(X1,X2) U61(X1,mark(X2)) -> U61(X1,X2) U61(active(X1),X2) -> U61(X1,X2) U61(mark(X1),X2) -> U61(X1,X2) U62(active(X)) -> U62(X) U62(mark(X)) -> U62(X) U71(X1,active(X2)) -> U71(X1,X2) U71(X1,mark(X2)) -> U71(X1,X2) U71(active(X1),X2) -> U71(X1,X2) U71(mark(X1),X2) -> U71(X1,X2) U72(X1,active(X2)) -> U72(X1,X2) U72(X1,mark(X2)) -> U72(X1,X2) U72(active(X1),X2) -> U72(X1,X2) U72(mark(X1),X2) -> U72(X1,X2) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U83(X1,X2,active(X3)) -> U83(X1,X2,X3) U83(X1,X2,mark(X3)) -> U83(X1,X2,X3) U83(X1,active(X2),X3) -> U83(X1,X2,X3) U83(X1,mark(X2),X3) -> U83(X1,X2,X3) U83(active(X1),X2,X3) -> U83(X1,X2,X3) U83(mark(X1),X2,X3) -> U83(X1,X2,X3) U84(X1,X2,active(X3)) -> U84(X1,X2,X3) U84(X1,X2,mark(X3)) -> U84(X1,X2,X3) U84(X1,active(X2),X3) -> U84(X1,X2,X3) U84(X1,mark(X2),X3) -> U84(X1,X2,X3) U84(active(X1),X2,X3) -> U84(X1,X2,X3) U84(mark(X1),X2,X3) -> U84(X1,X2,X3) U91(X1,active(X2)) -> U91(X1,X2) U91(X1,mark(X2)) -> U91(X1,X2) U91(active(X1),X2) -> U91(X1,X2) U91(mark(X1),X2) -> U91(X1,X2) U92(active(X)) -> U92(X) U92(mark(X)) -> U92(X) active(U101(tt(),M,N)) -> mark(U102(isNatKind(M),M,N)) active(U102(tt(),M,N)) -> mark(U103(isNat(N),M,N)) active(U103(tt(),M,N)) -> mark(U104(isNatKind(N),M,N)) active(U104(tt(),M,N)) -> mark(plus(x(N,M),N)) active(U11(tt(),V1,V2)) -> mark(U12(isNatKind(V1),V1,V2)) active(U12(tt(),V1,V2)) -> mark(U13(isNatKind(V2),V1,V2)) active(U13(tt(),V1,V2)) -> mark(U14(isNatKind(V2),V1,V2)) active(U14(tt(),V1,V2)) -> mark(U15(isNat(V1),V2)) active(U15(tt(),V2)) -> mark(U16(isNat(V2))) active(U16(tt())) -> mark(tt()) active(U21(tt(),V1)) -> mark(U22(isNatKind(V1),V1)) active(U22(tt(),V1)) -> mark(U23(isNat(V1))) active(U23(tt())) -> mark(tt()) active(U31(tt(),V1,V2)) -> mark(U32(isNatKind(V1),V1,V2)) active(U32(tt(),V1,V2)) -> mark(U33(isNatKind(V2),V1,V2)) active(U33(tt(),V1,V2)) -> mark(U34(isNatKind(V2),V1,V2)) active(U34(tt(),V1,V2)) -> mark(U35(isNat(V1),V2)) active(U35(tt(),V2)) -> mark(U36(isNat(V2))) active(U36(tt())) -> mark(tt()) active(U41(tt(),V2)) -> mark(U42(isNatKind(V2))) active(U42(tt())) -> mark(tt()) active(U51(tt())) -> mark(tt()) active(U61(tt(),V2)) -> mark(U62(isNatKind(V2))) active(U62(tt())) -> mark(tt()) active(U71(tt(),N)) -> mark(U72(isNatKind(N),N)) active(U72(tt(),N)) -> mark(N) active(U81(tt(),M,N)) -> mark(U82(isNatKind(M),M,N)) active(U82(tt(),M,N)) -> mark(U83(isNat(N),M,N)) active(U83(tt(),M,N)) -> mark(U84(isNatKind(N),M,N)) active(U84(tt(),M,N)) -> mark(s(plus(N,M))) active(U91(tt(),N)) -> mark(U92(isNatKind(N))) active(U92(tt())) -> mark(0()) active(isNat(0())) -> mark(tt()) active(isNat(plus(V1,V2))) -> mark(U11(isNatKind(V1),V1,V2)) active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1)) active(isNat(x(V1,V2))) -> mark(U31(isNatKind(V1),V1,V2)) active(isNatKind(0())) -> mark(tt()) active(isNatKind(plus(V1,V2))) -> mark(U41(isNatKind(V1),V2)) active(isNatKind(s(V1))) -> mark(U51(isNatKind(V1))) active(isNatKind(x(V1,V2))) -> mark(U61(isNatKind(V1),V2)) active(plus(N,0())) -> mark(U71(isNat(N),N)) active(plus(N,s(M))) -> mark(U81(isNat(M),M,N)) active(x(N,0())) -> mark(U91(isNat(N),N)) active(x(N,s(M))) -> mark(U101(isNat(M),M,N)) isNat(active(X)) -> isNat(X) isNat(mark(X)) -> isNat(X) isNatKind(active(X)) -> isNatKind(X) isNatKind(mark(X)) -> isNatKind(X) mark(0()) -> active(0()) mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3)) mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3)) mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3)) mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3)) mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3)) mark(U15(X1,X2)) -> active(U15(mark(X1),X2)) mark(U16(X)) -> active(U16(mark(X))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U23(X)) -> active(U23(mark(X))) mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3)) mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3)) mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3)) mark(U34(X1,X2,X3)) -> active(U34(mark(X1),X2,X3)) mark(U35(X1,X2)) -> active(U35(mark(X1),X2)) mark(U36(X)) -> active(U36(mark(X))) mark(U41(X1,X2)) -> active(U41(mark(X1),X2)) mark(U42(X)) -> active(U42(mark(X))) mark(U51(X)) -> active(U51(mark(X))) mark(U61(X1,X2)) -> active(U61(mark(X1),X2)) mark(U62(X)) -> active(U62(mark(X))) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(U83(X1,X2,X3)) -> active(U83(mark(X1),X2,X3)) mark(U84(X1,X2,X3)) -> active(U84(mark(X1),X2,X3)) mark(U91(X1,X2)) -> active(U91(mark(X1),X2)) mark(U92(X)) -> active(U92(mark(X))) mark(isNat(X)) -> active(isNat(X)) mark(isNatKind(X)) -> active(isNatKind(X)) mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(tt()) -> active(tt()) mark(x(X1,X2)) -> active(x(mark(X1),mark(X2))) plus(X1,active(X2)) -> plus(X1,X2) plus(X1,mark(X2)) -> plus(X1,X2) plus(active(X1),X2) -> plus(X1,X2) plus(mark(X1),X2) -> plus(X1,X2) s(active(X)) -> s(X) s(mark(X)) -> s(X) x(X1,active(X2)) -> x(X1,X2) x(X1,mark(X2)) -> x(X1,X2) x(active(X1),X2) -> x(X1,X2) x(mark(X1),X2) -> x(X1,X2) - Signature: {U101/3,U102/3,U103/3,U104/3,U11/3,U12/3,U13/3,U14/3,U15/2,U16/1,U21/2,U22/2,U23/1,U31/3,U32/3,U33/3,U34/3 ,U35/2,U36/1,U41/2,U42/1,U51/1,U61/2,U62/1,U71/2,U72/2,U81/3,U82/3,U83/3,U84/3,U91/2,U92/1,active/1,isNat/1 ,isNatKind/1,mark/1,plus/2,s/1,x/2} / {0/0,tt/0} - Obligation: innermost derivational complexity wrt. signature {0,U101,U102,U103,U104,U11,U12,U13,U14,U15,U16,U21,U22,U23 ,U31,U32,U33,U34,U35,U36,U41,U42,U51,U61,U62,U71,U72,U81,U82,U83,U84,U91,U92,active,isNat,isNatKind,mark ,plus,s,tt,x} + Applied Processor: DecomposeCP {onSelectionCP_ = any strict-rules, withBoundCP_ = RelativeComp, withCP_ = NaturalMI {miDimension = 3, miDegree = 3, miKind = Algebraic, uargs = NoUArgs, urules = NoURules, selector = Nothing}} + Details: The processor is not applicable. The reason is some rule is duplicating. MAYBE