/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:
 minus(s(x),y) -> if(gt(s(x),y),x,y)
 if(true(),x,y) -> s(minus(x,y))
 if(false(),x,y) -> 0()
 gcd(x,y) -> if1(ge(x,y),x,y)
 if1(true(),x,y) -> if2(gt(y,0()),x,y)
 if1(false(),x,y) -> if3(gt(x,0()),x,y)
 if2(true(),x,y) -> gcd(minus(x,y),y)
 if2(false(),x,y) -> x
 if3(true(),x,y) -> gcd(x,minus(y,x))
 if3(false(),x,y) -> y
 gt(0(),y) -> false()
 gt(s(x),0()) -> true()
 gt(s(x),s(y)) -> gt(x,y)
 ge(x,0()) -> true()
 ge(0(),s(x)) -> false()
 ge(s(x),s(y)) -> ge(x,y)

Proof:
 Open