/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(cons(X1,X2)) -> cons(active(X1),X2)
    active(from(X)) -> from(active(X))
    active(from(X)) -> mark(cons(X,from(s(X))))
    active(minus(X,0())) -> mark(0())
    active(minus(X1,X2)) -> minus(X1,active(X2))
    active(minus(X1,X2)) -> minus(active(X1),X2)
    active(minus(s(X),s(Y))) -> mark(minus(X,Y))
    active(quot(X1,X2)) -> quot(X1,active(X2))
    active(quot(X1,X2)) -> quot(active(X1),X2)
    active(quot(0(),s(Y))) -> mark(0())
    active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y))))
    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))
    active(zWquot(X1,X2)) -> zWquot(X1,active(X2))
    active(zWquot(X1,X2)) -> zWquot(active(X1),X2)
    active(zWquot(XS,nil())) -> mark(nil())
    active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS)))
    active(zWquot(nil(),XS)) -> mark(nil())
    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))
    minus(X1,mark(X2)) -> mark(minus(X1,X2))
    minus(mark(X1),X2) -> mark(minus(X1,X2))
    minus(ok(X1),ok(X2)) -> ok(minus(X1,X2))
    proper(0()) -> ok(0())
    proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
    proper(from(X)) -> from(proper(X))
    proper(minus(X1,X2)) -> minus(proper(X1),proper(X2))
    proper(nil()) -> ok(nil())
    proper(quot(X1,X2)) -> quot(proper(X1),proper(X2))
    proper(s(X)) -> s(proper(X))
    proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
    proper(zWquot(X1,X2)) -> zWquot(proper(X1),proper(X2))
    quot(X1,mark(X2)) -> mark(quot(X1,X2))
    quot(mark(X1),X2) -> mark(quot(X1,X2))
    quot(ok(X1),ok(X2)) -> ok(quot(X1,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))
    zWquot(X1,mark(X2)) -> mark(zWquot(X1,X2))
    zWquot(mark(X1),X2) -> mark(zWquot(X1,X2))
    zWquot(ok(X1),ok(X2)) -> ok(zWquot(X1,X2))
- Signature:
    {active/1,cons/2,from/1,minus/2,proper/1,quot/2,s/1,sel/2,top/1,zWquot/2} / {0/0,mark/1,nil/0,ok/1}
- Obligation:
    innermost derivational complexity wrt. signature {0,active,cons,from,mark,minus,nil,ok,proper,quot,s,sel,top
    ,zWquot}
The problem is still open.