/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:
 a__p(0()) -> 0()
 a__p(s(X)) -> mark(X)
 a__leq(0(),Y) -> true()
 a__leq(s(X),0()) -> false()
 a__leq(s(X),s(Y)) -> a__leq(mark(X),mark(Y))
 a__if(true(),X,Y) -> mark(X)
 a__if(false(),X,Y) -> mark(Y)
 a__diff(X,Y) -> a__if(a__leq(mark(X),mark(Y)),0(),s(diff(p(X),Y)))
 mark(p(X)) -> a__p(mark(X))
 mark(leq(X1,X2)) -> a__leq(mark(X1),mark(X2))
 mark(if(X1,X2,X3)) -> a__if(mark(X1),X2,X3)
 mark(diff(X1,X2)) -> a__diff(mark(X1),mark(X2))
 mark(0()) -> 0()
 mark(s(X)) -> s(mark(X))
 mark(true()) -> true()
 mark(false()) -> false()
 a__p(X) -> p(X)
 a__leq(X1,X2) -> leq(X1,X2)
 a__if(X1,X2,X3) -> if(X1,X2,X3)
 a__diff(X1,X2) -> diff(X1,X2)

Proof:
 Open