MAYBE 'epo* (timeout of 60.0 seconds)' -------------------------------- Answer: MAYBE Input Problem: innermost runtime-complexity with respect to Rules: { 1() -> s_(0()) , 2() -> s_(s_(0())) , 3() -> s_(s_(s_(0()))) , 4() -> s_(s_(s_(s_(0())))) , 5() -> s_(s_(s_(s_(s_(0()))))) , 6() -> s_(s_(s_(s_(s_(s_(0())))))) , 7() -> s_(s_(s_(s_(s_(s_(s_(0()))))))) , U11(tt(), M, N) -> U12(tt(), M, N) , U12(tt(), M, N) -> s_(_+_(N, _+_(M, _*_(N, M)))) , U21(tt(), M, N) -> U22(tt(), M, N) , U22(tt(), M, N) -> s_(s_(_+_(N, M))) , U31(tt(), M, N) -> U32(tt(), M, N) , U32(tt(), M, N) -> _>_(M, N) , U41(tt(), M, N) -> U42(tt(), M, N) , U42(tt(), M, N) -> _>_(N, M) , U51(tt(), M, N) -> U52(tt(), M, N) , U52(tt(), M, N) -> d(N, M) , U61(tt(), M', N') -> U62(tt(), M', N') , U62(tt(), M', N') -> U63(equal(_>_(N', M'), true()), M', N') , U63(tt(), M', N') -> gcd(d(N', M'), M') , U71(tt(), M', N) -> U72(tt(), M', N) , U72(tt(), M', N) -> U73(equal(_>_(M', N), true())) , U73(tt()) -> 0() , U81(tt(), M', N) -> U82(tt(), M', N) , U82(tt(), M', N) -> U83(equal(_>_(N, M'), true()), M', N) , U83(tt(), M', N) -> s_(quot(d(N, M'), M')) , _*_(N, 0()) -> 0() , _*_(s_(N), s_(M)) -> U11(tt(), M, N) , _+_(N, 0()) -> N , _+_(s_(N), s_(M)) -> U21(tt(), M, N) , _<_(N, M) -> U31(tt(), M, N) , _>_(0(), M) -> false() , _>_(N', 0()) -> true() , _>_(s_(N), s_(M)) -> U41(tt(), M, N) , d(0(), N) -> N , d(s_(N), s_(M)) -> U51(tt(), M, N) , equal(X, X) -> tt() , gcd(0(), N) -> 0() , gcd(N', M') -> U61(tt(), M', N') , gcd(N', N') -> N' , p_(s_(N)) -> N , quot(M', M') -> s_(0()) , quot(N, M') -> U71(tt(), M', N) , quot(N, M') -> U81(tt(), M', N)} Proof Output: The input cannot be shown compatible