/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(mark(X1),X2) -> mark(U11(X1,X2))
    U11(ok(X1),ok(X2)) -> ok(U11(X1,X2))
    U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
    U21(ok(X1),ok(X2),ok(X3)) -> ok(U21(X1,X2,X3))
    active(U11(X1,X2)) -> U11(active(X1),X2)
    active(U11(tt(),N)) -> mark(N)
    active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
    active(U21(tt(),M,N)) -> mark(s(plus(N,M)))
    active(and(X1,X2)) -> and(active(X1),X2)
    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))
    active(plus(X1,X2)) -> plus(X1,active(X2))
    active(plus(X1,X2)) -> plus(active(X1),X2)
    active(s(X)) -> s(active(X))
    and(mark(X1),X2) -> mark(and(X1,X2))
    and(ok(X1),ok(X2)) -> ok(and(X1,X2))
    isNat(ok(X)) -> ok(isNat(X))
    plus(X1,mark(X2)) -> mark(plus(X1,X2))
    plus(mark(X1),X2) -> mark(plus(X1,X2))
    plus(ok(X1),ok(X2)) -> ok(plus(X1,X2))
    proper(0()) -> ok(0())
    proper(U11(X1,X2)) -> U11(proper(X1),proper(X2))
    proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
    proper(and(X1,X2)) -> and(proper(X1),proper(X2))
    proper(isNat(X)) -> isNat(proper(X))
    proper(plus(X1,X2)) -> plus(proper(X1),proper(X2))
    proper(s(X)) -> s(proper(X))
    proper(tt()) -> ok(tt())
    s(mark(X)) -> mark(s(X))
    s(ok(X)) -> ok(s(X))
    top(mark(X)) -> top(proper(X))
    top(ok(X)) -> top(active(X))
- Signature:
    {U11/2,U21/3,active/1,and/2,isNat/1,plus/2,proper/1,s/1,top/1} / {0/0,mark/1,ok/1,tt/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,U11,U21,active,and,isNat,mark,ok,plus,proper,s,top,tt}
The problem is still open.