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


--------------------------------------------------------------------------------


MAYBE

Problem:
 gcd(x,y) -> gcd2(x,y,0())
 gcd2(x,y,i) -> if1(le(x,0()),le(y,0()),le(x,y),le(y,x),x,y,inc(i))
 if1(true(),b1,b2,b3,x,y,i) -> pair(result(y),neededIterations(i))
 if1(false(),b1,b2,b3,x,y,i) -> if2(b1,b2,b3,x,y,i)
 if2(true(),b2,b3,x,y,i) -> pair(result(x),neededIterations(i))
 if2(false(),b2,b3,x,y,i) -> if3(b2,b3,x,y,i)
 if3(false(),b3,x,y,i) -> gcd2(minus(x,y),y,i)
 if3(true(),b3,x,y,i) -> if4(b3,x,y,i)
 if4(false(),x,y,i) -> gcd2(x,minus(y,x),i)
 if4(true(),x,y,i) -> pair(result(x),neededIterations(i))
 inc(0()) -> 0()
 inc(s(i)) -> s(inc(i))
 le(s(x),0()) -> false()
 le(0(),y) -> true()
 le(s(x),s(y)) -> le(x,y)
 minus(x,0()) -> x
 minus(0(),y) -> 0()
 minus(s(x),s(y)) -> minus(x,y)
 a() -> b()
 a() -> c()

Proof:
 Open