/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:
 le(0(),y) -> true()
 le(s(x),0()) -> false()
 le(s(x),s(y)) -> le(x,y)
 minus(x,0()) -> x
 minus(0(),s(y)) -> 0()
 minus(s(x),s(y)) -> minus(x,y)
 plus(x,0()) -> x
 plus(x,s(y)) -> s(plus(x,y))
 mod(s(x),0()) -> 0()
 mod(x,s(y)) -> help(x,s(y),0())
 help(x,s(y),c) -> if(le(c,x),x,s(y),c)
 if(true(),x,s(y),c) -> help(x,s(y),plus(c,s(y)))
 if(false(),x,s(y),c) -> minus(x,minus(c,s(y)))

Proof:
 Open