/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE

Problem:
 max(nil()) -> 0()
 max(cons(x,nil())) -> x
 max(cons(x,cons(y,xs))) -> if1(ge(x,y),x,y,xs)
 if1(true(),x,y,xs) -> max(cons(x,xs))
 if1(false(),x,y,xs) -> max(cons(y,xs))
 del(x,nil()) -> nil()
 del(x,cons(y,xs)) -> if2(eq(x,y),x,y,xs)
 if2(true(),x,y,xs) -> xs
 if2(false(),x,y,xs) -> cons(y,del(x,xs))
 eq(0(),0()) -> true()
 eq(0(),s(y)) -> false()
 eq(s(x),0()) -> false()
 eq(s(x),s(y)) -> eq(x,y)
 sort(xs) -> if3(empty(xs),xs)
 if3(true(),xs) -> nil()
 if3(false(),xs) -> sort(del(max(xs),xs))
 empty(nil()) -> true()
 empty(cons(x,xs)) -> false()
 ge(x,0()) -> true()
 ge(0(),s(x)) -> false()
 ge(s(x),s(y)) -> ge(x,y)

Proof:
 Open