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