/export/starexec/sandbox2/solver/bin/starexec_run_tct_dci /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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) 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) 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) U31(X1,active(X2)) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) 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) U51(X1,X2,active(X3)) -> U51(X1,X2,X3) U51(X1,X2,mark(X3)) -> U51(X1,X2,X3) U51(X1,active(X2),X3) -> U51(X1,X2,X3) U51(X1,mark(X2),X3) -> U51(X1,X2,X3) U51(active(X1),X2,X3) -> U51(X1,X2,X3) U51(mark(X1),X2,X3) -> U51(X1,X2,X3) 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) 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) U81(X1,X2,X3,active(X4)) -> U81(X1,X2,X3,X4) U81(X1,X2,X3,mark(X4)) -> U81(X1,X2,X3,X4) U81(X1,X2,active(X3),X4) -> U81(X1,X2,X3,X4) U81(X1,X2,mark(X3),X4) -> U81(X1,X2,X3,X4) U81(X1,active(X2),X3,X4) -> U81(X1,X2,X3,X4) U81(X1,mark(X2),X3,X4) -> U81(X1,X2,X3,X4) U81(active(X1),X2,X3,X4) -> U81(X1,X2,X3,X4) U81(mark(X1),X2,X3,X4) -> U81(X1,X2,X3,X4) U82(X1,active(X2)) -> U82(X1,X2) U82(X1,mark(X2)) -> U82(X1,X2) U82(active(X1),X2) -> U82(X1,X2) U82(mark(X1),X2) -> U82(X1,X2) 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) active(U101(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(U11(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(N) active(U41(tt(),N)) -> mark(cons(N,natsFrom(s(N)))) active(U51(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U61(tt(),Y)) -> mark(Y) active(U71(tt(),XS)) -> mark(pair(nil(),XS)) active(U81(tt(),N,X,XS)) -> mark(U82(splitAt(N,XS),X)) active(U82(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U91(tt(),XS)) -> mark(XS) active(afterNth(N,XS)) -> mark(U11(and(isNatural(N),isLNat(XS)),N,XS)) active(and(tt(),X)) -> mark(X) active(fst(pair(X,Y))) -> mark(U21(and(isLNat(X),isLNat(Y)),X)) active(head(cons(N,XS))) -> mark(U31(and(isNatural(N),isLNat(XS)),N)) active(isLNat(afterNth(V1,V2))) -> mark(and(isNatural(V1),isLNat(V2))) active(isLNat(cons(V1,V2))) -> mark(and(isNatural(V1),isLNat(V2))) active(isLNat(fst(V1))) -> mark(isPLNat(V1)) active(isLNat(natsFrom(V1))) -> mark(isNatural(V1)) active(isLNat(nil())) -> mark(tt()) active(isLNat(snd(V1))) -> mark(isPLNat(V1)) active(isLNat(tail(V1))) -> mark(isLNat(V1)) active(isLNat(take(V1,V2))) -> mark(and(isNatural(V1),isLNat(V2))) active(isNatural(0())) -> mark(tt()) active(isNatural(head(V1))) -> mark(isLNat(V1)) active(isNatural(s(V1))) -> mark(isNatural(V1)) active(isNatural(sel(V1,V2))) -> mark(and(isNatural(V1),isLNat(V2))) active(isPLNat(pair(V1,V2))) -> mark(and(isLNat(V1),isLNat(V2))) active(isPLNat(splitAt(V1,V2))) -> mark(and(isNatural(V1),isLNat(V2))) active(natsFrom(N)) -> mark(U41(isNatural(N),N)) active(sel(N,XS)) -> mark(U51(and(isNatural(N),isLNat(XS)),N,XS)) active(snd(pair(X,Y))) -> mark(U61(and(isLNat(X),isLNat(Y)),Y)) active(splitAt(0(),XS)) -> mark(U71(isLNat(XS),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U81(and(isNatural(N),and(isNatural(X),isLNat(XS))),N,X,XS)) active(tail(cons(N,XS))) -> mark(U91(and(isNatural(N),isLNat(XS)),XS)) active(take(N,XS)) -> mark(U101(and(isNatural(N),isLNat(XS)),N,XS)) afterNth(X1,active(X2)) -> afterNth(X1,X2) afterNth(X1,mark(X2)) -> afterNth(X1,X2) afterNth(active(X1),X2) -> afterNth(X1,X2) afterNth(mark(X1),X2) -> afterNth(X1,X2) and(X1,active(X2)) -> and(X1,X2) and(X1,mark(X2)) -> and(X1,X2) and(active(X1),X2) -> and(X1,X2) and(mark(X1),X2) -> and(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(mark(X1),X2) -> cons(X1,X2) fst(active(X)) -> fst(X) fst(mark(X)) -> fst(X) head(active(X)) -> head(X) head(mark(X)) -> head(X) isLNat(active(X)) -> isLNat(X) isLNat(mark(X)) -> isLNat(X) isNatural(active(X)) -> isNatural(X) isNatural(mark(X)) -> isNatural(X) isPLNat(active(X)) -> isPLNat(X) isPLNat(mark(X)) -> isPLNat(X) mark(0()) -> active(0()) mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U41(X1,X2)) -> active(U41(mark(X1),X2)) mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3)) mark(U61(X1,X2)) -> active(U61(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U81(X1,X2,X3,X4)) -> active(U81(mark(X1),X2,X3,X4)) mark(U82(X1,X2)) -> active(U82(mark(X1),X2)) mark(U91(X1,X2)) -> active(U91(mark(X1),X2)) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(and(X1,X2)) -> active(and(mark(X1),X2)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(fst(X)) -> active(fst(mark(X))) mark(head(X)) -> active(head(mark(X))) mark(isLNat(X)) -> active(isLNat(X)) mark(isNatural(X)) -> active(isNatural(X)) mark(isPLNat(X)) -> active(isPLNat(X)) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(nil()) -> active(nil()) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) mark(tt()) -> active(tt()) natsFrom(active(X)) -> natsFrom(X) natsFrom(mark(X)) -> natsFrom(X) pair(X1,active(X2)) -> pair(X1,X2) pair(X1,mark(X2)) -> pair(X1,X2) pair(active(X1),X2) -> pair(X1,X2) pair(mark(X1),X2) -> pair(X1,X2) s(active(X)) -> s(X) s(mark(X)) -> s(X) sel(X1,active(X2)) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(mark(X1),X2) -> sel(X1,X2) snd(active(X)) -> snd(X) snd(mark(X)) -> snd(X) splitAt(X1,active(X2)) -> splitAt(X1,X2) splitAt(X1,mark(X2)) -> splitAt(X1,X2) splitAt(active(X1),X2) -> splitAt(X1,X2) splitAt(mark(X1),X2) -> splitAt(X1,X2) tail(active(X)) -> tail(X) tail(mark(X)) -> tail(X) take(X1,active(X2)) -> take(X1,X2) take(X1,mark(X2)) -> take(X1,X2) take(active(X1),X2) -> take(X1,X2) take(mark(X1),X2) -> take(X1,X2) - Signature: {U101/3,U11/3,U21/2,U31/2,U41/2,U51/3,U61/2,U71/2,U81/4,U82/2,U91/2,active/1,afterNth/2,and/2,cons/2,fst/1 ,head/1,isLNat/1,isNatural/1,isPLNat/1,mark/1,natsFrom/1,pair/2,s/1,sel/2,snd/1,splitAt/2,tail/1 ,take/2} / {0/0,nil/0,tt/0} - Obligation: innermost derivational complexity wrt. signature {0,U101,U11,U21,U31,U41,U51,U61,U71,U81,U82,U91,active ,afterNth,and,cons,fst,head,isLNat,isNatural,isPLNat,mark,natsFrom,nil,pair,s,sel,snd,splitAt,tail,take,tt} + Applied Processor: DecomposeCP {onSelectionCP_ = any strict-rules, withBoundCP_ = RelativeComp, withCP_ = NaturalMI {miDimension = 4, miDegree = 4, miKind = Algebraic, uargs = NoUArgs, urules = NoURules, selector = Nothing}} + Details: The processor is not applicable. The reason is some rule is duplicating. MAYBE