/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(fib(N)) -> mark(sel(N,fib1(s(0()),s(0()))))
    active(fib(X)) -> fib(active(X))
    active(fib1(X,Y)) -> mark(cons(X,fib1(Y,add(X,Y))))
    active(fib1(X1,X2)) -> fib1(X1,active(X2))
    active(fib1(X1,X2)) -> fib1(active(X1),X2)
    active(s(X)) -> s(active(X))
    active(sel(X1,X2)) -> sel(X1,active(X2))
    active(sel(X1,X2)) -> sel(active(X1),X2)
    active(sel(0(),cons(X,XS))) -> mark(X)
    active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS))
    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))
    fib(mark(X)) -> mark(fib(X))
    fib(ok(X)) -> ok(fib(X))
    fib1(X1,mark(X2)) -> mark(fib1(X1,X2))
    fib1(mark(X1),X2) -> mark(fib1(X1,X2))
    fib1(ok(X1),ok(X2)) -> ok(fib1(X1,X2))
    proper(0()) -> ok(0())
    proper(add(X1,X2)) -> add(proper(X1),proper(X2))
    proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
    proper(fib(X)) -> fib(proper(X))
    proper(fib1(X1,X2)) -> fib1(proper(X1),proper(X2))
    proper(s(X)) -> s(proper(X))
    proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
    s(mark(X)) -> mark(s(X))
    s(ok(X)) -> ok(s(X))
    sel(X1,mark(X2)) -> mark(sel(X1,X2))
    sel(mark(X1),X2) -> mark(sel(X1,X2))
    sel(ok(X1),ok(X2)) -> ok(sel(X1,X2))
    top(mark(X)) -> top(proper(X))
    top(ok(X)) -> top(active(X))
- Signature:
    {active/1,add/2,cons/2,fib/1,fib1/2,proper/1,s/1,sel/2,top/1} / {0/0,mark/1,ok/1}
- Obligation:
    innermost derivational complexity wrt. signature {0,active,add,cons,fib,fib1,mark,ok,proper,s,sel,top}
The problem is still open.