/export/starexec/sandbox/solver/bin/starexec_run_tct_dci_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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)
    U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
    U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
    U21(X1,active(X2),X3) -> U21(X1,X2,X3)
    U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
    U21(active(X1),X2,X3) -> U21(X1,X2,X3)
    U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
    active(U11(tt(),N)) -> mark(N)
    active(U21(tt(),M,N)) -> mark(s(plus(N,M)))
    active(and(tt(),X)) -> mark(X)
    active(isNat(0())) -> mark(tt())
    active(isNat(plus(V1,V2))) -> mark(and(isNat(V1),isNat(V2)))
    active(isNat(s(V1))) -> mark(isNat(V1))
    active(plus(N,0())) -> mark(U11(isNat(N),N))
    active(plus(N,s(M))) -> mark(U21(and(isNat(M),isNat(N)),M,N))
    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)
    isNat(active(X)) -> isNat(X)
    isNat(mark(X)) -> isNat(X)
    mark(0()) -> active(0())
    mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
    mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
    mark(and(X1,X2)) -> active(and(mark(X1),X2))
    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,U21/3,active/1,and/2,isNat/1,mark/1,plus/2,s/1} / {0/0,tt/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,U11,U21,active,and,isNat,mark,plus,s,tt}
The problem is still open.