/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:
 le(0(),y) -> true()
 le(s(x),0()) -> false()
 le(s(x),s(y)) -> le(x,y)
 minus(x,x) -> 0()
 minus(x,0()) -> x
 minus(0(),x) -> 0()
 minus(s(x),s(y)) -> minus(x,y)
 isZero(0()) -> true()
 isZero(s(x)) -> false()
 mod(x,y) -> if_mod(isZero(y),le(y,x),x,y,minus(x,y))
 if_mod(true(),b,x,y,z) -> divByZeroError()
 if_mod(false(),false(),x,y,z) -> x
 if_mod(false(),true(),x,y,z) -> mod(z,y)

Proof:
 Open