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