/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:
 isEmpty(cons(x,xs)) -> false()
 isEmpty(nil()) -> true()
 isZero(0()) -> true()
 isZero(s(x)) -> false()
 head(cons(x,xs)) -> x
 tail(cons(x,xs)) -> xs
 tail(nil()) -> nil()
 p(s(s(x))) -> s(p(s(x)))
 p(s(0())) -> 0()
 p(0()) -> 0()
 inc(s(x)) -> s(inc(x))
 inc(0()) -> s(0())
 sumList(xs,y) -> if(isEmpty(xs),isZero(head(xs)),y,tail(xs),cons(p(head(xs)),tail(xs)),inc(y))
 if(true(),b,y,xs,ys,x) -> y
 if(false(),true(),y,xs,ys,x) -> sumList(xs,y)
 if(false(),false(),y,xs,ys,x) -> sumList(ys,x)
 sum(xs) -> sumList(xs,0())

Proof:
 Open