/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)
 zero(0()) -> true()
 zero(s(x)) -> false()
 id(0()) -> 0()
 id(s(x)) -> s(id(x))
 minus(x,0()) -> x
 minus(s(x),s(y)) -> minus(x,y)
 mod(x,y) -> if_mod(zero(x),zero(y),le(y,x),id(x),id(y))
 if_mod(true(),b1,b2,x,y) -> 0()
 if_mod(false(),b1,b2,x,y) -> if2(b1,b2,x,y)
 if2(true(),b2,x,y) -> 0()
 if2(false(),b2,x,y) -> if3(b2,x,y)
 if3(true(),x,y) -> mod(minus(x,y),s(y))
 if3(false(),x,y) -> x

Proof:
 Open