/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(fact(X)) -> mark(if(zero(X),s(0()),prod(X,fact(p(X)))))
    active(if(false(),X,Y)) -> mark(Y)
    active(if(true(),X,Y)) -> mark(X)
    active(p(s(X))) -> mark(X)
    active(prod(0(),X)) -> mark(0())
    active(prod(s(X),Y)) -> mark(add(Y,prod(X,Y)))
    active(zero(0())) -> mark(true())
    active(zero(s(X))) -> mark(false())
    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)
    fact(active(X)) -> fact(X)
    fact(mark(X)) -> fact(X)
    if(X1,X2,active(X3)) -> if(X1,X2,X3)
    if(X1,X2,mark(X3)) -> if(X1,X2,X3)
    if(X1,active(X2),X3) -> if(X1,X2,X3)
    if(X1,mark(X2),X3) -> if(X1,X2,X3)
    if(active(X1),X2,X3) -> if(X1,X2,X3)
    if(mark(X1),X2,X3) -> if(X1,X2,X3)
    mark(0()) -> active(0())
    mark(add(X1,X2)) -> active(add(mark(X1),mark(X2)))
    mark(fact(X)) -> active(fact(mark(X)))
    mark(false()) -> active(false())
    mark(if(X1,X2,X3)) -> active(if(mark(X1),X2,X3))
    mark(p(X)) -> active(p(mark(X)))
    mark(prod(X1,X2)) -> active(prod(mark(X1),mark(X2)))
    mark(s(X)) -> active(s(mark(X)))
    mark(true()) -> active(true())
    mark(zero(X)) -> active(zero(mark(X)))
    p(active(X)) -> p(X)
    p(mark(X)) -> p(X)
    prod(X1,active(X2)) -> prod(X1,X2)
    prod(X1,mark(X2)) -> prod(X1,X2)
    prod(active(X1),X2) -> prod(X1,X2)
    prod(mark(X1),X2) -> prod(X1,X2)
    s(active(X)) -> s(X)
    s(mark(X)) -> s(X)
    zero(active(X)) -> zero(X)
    zero(mark(X)) -> zero(X)
- Signature:
    {active/1,add/2,fact/1,if/3,mark/1,p/1,prod/2,s/1,zero/1} / {0/0,false/0,true/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,active,add,fact,false,if,mark,p,prod,s,true,zero}
The problem is still open.