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