/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:
    active(add(X1,X2)) -> add(X1,active(X2))
    active(add(X1,X2)) -> add(active(X1),X2)
    active(add(0(),X)) -> mark(X)
    active(add(s(X),Y)) -> mark(s(add(X,Y)))
    active(cons(X1,X2)) -> cons(active(X1),X2)
    active(from(X)) -> from(active(X))
    active(from(X)) -> mark(cons(X,from(s(X))))
    active(fst(X1,X2)) -> fst(X1,active(X2))
    active(fst(X1,X2)) -> fst(active(X1),X2)
    active(fst(0(),Z)) -> mark(nil())
    active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z)))
    active(len(X)) -> len(active(X))
    active(len(cons(X,Z))) -> mark(s(len(Z)))
    active(len(nil())) -> mark(0())
    add(X1,mark(X2)) -> mark(add(X1,X2))
    add(mark(X1),X2) -> mark(add(X1,X2))
    add(ok(X1),ok(X2)) -> ok(add(X1,X2))
    cons(mark(X1),X2) -> mark(cons(X1,X2))
    cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
    from(mark(X)) -> mark(from(X))
    from(ok(X)) -> ok(from(X))
    fst(X1,mark(X2)) -> mark(fst(X1,X2))
    fst(mark(X1),X2) -> mark(fst(X1,X2))
    fst(ok(X1),ok(X2)) -> ok(fst(X1,X2))
    len(mark(X)) -> mark(len(X))
    len(ok(X)) -> ok(len(X))
    proper(0()) -> ok(0())
    proper(add(X1,X2)) -> add(proper(X1),proper(X2))
    proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
    proper(from(X)) -> from(proper(X))
    proper(fst(X1,X2)) -> fst(proper(X1),proper(X2))
    proper(len(X)) -> len(proper(X))
    proper(nil()) -> ok(nil())
    proper(s(X)) -> s(proper(X))
    s(ok(X)) -> ok(s(X))
    top(mark(X)) -> top(proper(X))
    top(ok(X)) -> top(active(X))
- Signature:
    {active/1,add/2,cons/2,from/1,fst/2,len/1,proper/1,s/1,top/1} / {0/0,mark/1,nil/0,ok/1}
- Obligation:
    innermost derivational complexity wrt. signature {0,active,add,cons,from,fst,len,mark,nil,ok,proper,s,top}
The problem is still open.