110.27/30.95 MAYBE 110.27/30.95 110.27/30.95 Proof: 110.27/30.95 ConCon could not decide confluence of the system. 110.27/30.95 \cite{ALS94}, Theorem 4.1 does not apply. 110.27/30.95 This system is of type 3 or smaller. 110.27/30.95 This system is strongly deterministic. 110.27/30.95 This system is of type 3 or smaller. 110.27/30.95 This system is deterministic. 110.27/30.95 ConCon could not decide if this system is quasi-decreasing. 110.27/30.95 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 110.27/30.95 This system is of type 3 or smaller. 110.27/30.95 This system is deterministic. 110.27/30.95 System R transformed to U(R). 110.27/30.95 The external tool could not decide termination of the system. 110.27/30.95 Call external tool: 110.27/30.95 ./ttt2.sh 110.27/30.95 Input: 110.27/30.95 (VAR x y l) 110.27/30.95 (RULES 110.27/30.95 ?1(true, x, y, l) -> dot(y, dot(x, l)) 110.27/30.95 dot(x, dot(y, l)) -> ?1(les(x, y), x, y, l) 110.27/30.95 les(0, 0) -> false 110.27/30.95 les(0, s(0)) -> true 110.27/30.95 les(0, s(s(x))) -> les(0, s(x)) 110.27/30.95 les(s(0), 0) -> false 110.27/30.95 les(s(s(x)), 0) -> les(s(x), 0) 110.27/30.95 les(s(x), s(y)) -> les(x, y) 110.27/30.95 ) 110.27/30.95 110.27/30.95 110.54/30.97 EOF