/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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MAYBE

Problem:
 active(p(0())) -> mark(0())
 active(p(s(X))) -> mark(X)
 active(leq(0(),Y)) -> mark(true())
 active(leq(s(X),0())) -> mark(false())
 active(leq(s(X),s(Y))) -> mark(leq(X,Y))
 active(if(true(),X,Y)) -> mark(X)
 active(if(false(),X,Y)) -> mark(Y)
 active(diff(X,Y)) -> mark(if(leq(X,Y),0(),s(diff(p(X),Y))))
 mark(p(X)) -> active(p(mark(X)))
 mark(0()) -> active(0())
 mark(s(X)) -> active(s(mark(X)))
 mark(leq(X1,X2)) -> active(leq(mark(X1),mark(X2)))
 mark(true()) -> active(true())
 mark(false()) -> active(false())
 mark(if(X1,X2,X3)) -> active(if(mark(X1),X2,X3))
 mark(diff(X1,X2)) -> active(diff(mark(X1),mark(X2)))
 p(mark(X)) -> p(X)
 p(active(X)) -> p(X)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 leq(mark(X1),X2) -> leq(X1,X2)
 leq(X1,mark(X2)) -> leq(X1,X2)
 leq(active(X1),X2) -> leq(X1,X2)
 leq(X1,active(X2)) -> leq(X1,X2)
 if(mark(X1),X2,X3) -> if(X1,X2,X3)
 if(X1,mark(X2),X3) -> if(X1,X2,X3)
 if(X1,X2,mark(X3)) -> if(X1,X2,X3)
 if(active(X1),X2,X3) -> if(X1,X2,X3)
 if(X1,active(X2),X3) -> if(X1,X2,X3)
 if(X1,X2,active(X3)) -> if(X1,X2,X3)
 diff(mark(X1),X2) -> diff(X1,X2)
 diff(X1,mark(X2)) -> diff(X1,X2)
 diff(active(X1),X2) -> diff(X1,X2)
 diff(X1,active(X2)) -> diff(X1,X2)

Proof:
 Open