/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(and(false(),Y)) -> mark(false())
    active(and(true(),X)) -> mark(X)
    active(first(0(),X)) -> mark(nil())
    active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z)))
    active(from(X)) -> mark(cons(X,from(s(X))))
    active(if(false(),X,Y)) -> mark(Y)
    active(if(true(),X,Y)) -> mark(X)
    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)
    and(X1,active(X2)) -> and(X1,X2)
    and(X1,mark(X2)) -> and(X1,X2)
    and(active(X1),X2) -> and(X1,X2)
    and(mark(X1),X2) -> and(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)
    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)
    from(active(X)) -> from(X)
    from(mark(X)) -> from(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),X2))
    mark(and(X1,X2)) -> active(and(mark(X1),X2))
    mark(cons(X1,X2)) -> active(cons(X1,X2))
    mark(false()) -> active(false())
    mark(first(X1,X2)) -> active(first(mark(X1),mark(X2)))
    mark(from(X)) -> active(from(X))
    mark(if(X1,X2,X3)) -> active(if(mark(X1),X2,X3))
    mark(nil()) -> active(nil())
    mark(s(X)) -> active(s(X))
    mark(true()) -> active(true())
    s(active(X)) -> s(X)
    s(mark(X)) -> s(X)
- Signature:
    {active/1,add/2,and/2,cons/2,first/2,from/1,if/3,mark/1,s/1} / {0/0,false/0,nil/0,true/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,active,add,and,cons,false,first,from,if,mark,nil,s,true}
The problem is still open.