/export/starexec/sandbox2/solver/bin/starexec_run_tct_dci_cert /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE
EmptyProcessor
- Strict TRS:
    U11(X1,active(X2)) -> U11(X1,X2)
    U11(X1,mark(X2)) -> U11(X1,X2)
    U11(active(X1),X2) -> U11(X1,X2)
    U11(mark(X1),X2) -> U11(X1,X2)
    U12(active(X)) -> U12(X)
    U12(mark(X)) -> U12(X)
    U21(active(X)) -> U21(X)
    U21(mark(X)) -> U21(X)
    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,X2,active(X3)) -> U41(X1,X2,X3)
    U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
    U41(X1,active(X2),X3) -> U41(X1,X2,X3)
    U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
    U41(active(X1),X2,X3) -> U41(X1,X2,X3)
    U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
    U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
    U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
    U42(X1,active(X2),X3) -> U42(X1,X2,X3)
    U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
    U42(active(X1),X2,X3) -> U42(X1,X2,X3)
    U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
    active(U11(tt(),V2)) -> mark(U12(isNat(V2)))
    active(U12(tt())) -> mark(tt())
    active(U21(tt())) -> mark(tt())
    active(U31(tt(),N)) -> mark(N)
    active(U41(tt(),M,N)) -> mark(U42(isNat(N),M,N))
    active(U42(tt(),M,N)) -> mark(s(plus(N,M)))
    active(isNat(0())) -> mark(tt())
    active(isNat(plus(V1,V2))) -> mark(U11(isNat(V1),V2))
    active(isNat(s(V1))) -> mark(U21(isNat(V1)))
    active(plus(N,0())) -> mark(U31(isNat(N),N))
    active(plus(N,s(M))) -> mark(U41(isNat(M),M,N))
    isNat(active(X)) -> isNat(X)
    isNat(mark(X)) -> isNat(X)
    mark(0()) -> active(0())
    mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
    mark(U12(X)) -> active(U12(mark(X)))
    mark(U21(X)) -> active(U21(mark(X)))
    mark(U31(X1,X2)) -> active(U31(mark(X1),X2))
    mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
    mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
    mark(isNat(X)) -> active(isNat(X))
    mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2)))
    mark(s(X)) -> active(s(mark(X)))
    mark(tt()) -> active(tt())
    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)
- Signature:
    {U11/2,U12/1,U21/1,U31/2,U41/3,U42/3,active/1,isNat/1,mark/1,plus/2,s/1} / {0/0,tt/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,U11,U12,U21,U31,U41,U42,active,isNat,mark,plus,s,tt}
The problem is still open.