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