/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:
 lcm(x,y) -> lcmIter(x,y,0(),times(x,y))
 lcmIter(x,y,z,u) -> if(or(ge(0(),x),ge(z,u)),x,y,z,u)
 if(true(),x,y,z,u) -> z
 if(false(),x,y,z,u) -> if2(divisible(z,y),x,y,z,u)
 if2(true(),x,y,z,u) -> z
 if2(false(),x,y,z,u) -> lcmIter(x,y,plus(x,z),u)
 plus(0(),y) -> y
 plus(s(x),y) -> s(plus(x,y))
 times(x,y) -> ifTimes(ge(0(),x),x,y)
 ifTimes(true(),x,y) -> 0()
 ifTimes(false(),x,y) -> plus(y,times(y,p(x)))
 p(s(x)) -> x
 p(0()) -> s(s(0()))
 ge(x,0()) -> true()
 ge(0(),s(y)) -> false()
 ge(s(x),s(y)) -> ge(x,y)
 or(true(),y) -> true()
 or(false(),y) -> y
 divisible(0(),s(y)) -> true()
 divisible(s(x),s(y)) -> div(s(x),s(y),s(y))
 div(x,y,0()) -> divisible(x,y)
 div(0(),y,s(z)) -> false()
 div(s(x),y,s(z)) -> div(x,y,z)
 a() -> b()
 a() -> c()

Proof:
 Open