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