117.08/30.80 MAYBE 117.08/30.80 117.08/30.80 Proof: 117.08/30.80 ConCon could not decide confluence of the system. 117.08/30.80 \cite{ALS94}, Theorem 4.1 does not apply. 117.08/30.80 This system is of type 3 or smaller. 117.08/30.81 This system is strongly deterministic. 117.08/30.81 This system is of type 3 or smaller. 117.08/30.81 This system is deterministic. 117.08/30.81 ConCon could not decide if this system is quasi-decreasing. 117.08/30.81 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 117.08/30.81 This system is of type 3 or smaller. 117.08/30.81 This system is deterministic. 117.08/30.81 System R transformed to optimized U(R). 117.08/30.81 The external tool could not decide termination of the system. 117.08/30.81 Call external tool: 117.08/30.81 ./ttt2.sh 117.08/30.81 Input: 117.08/30.81 (VAR x y l) 117.08/30.81 (RULES 117.08/30.81 les(0, 0) -> false 117.08/30.81 dot(x, dot(y, l)) -> ?1(les(x, y), x, y, l) 117.08/30.81 ?1(true, x, y, l) -> dot(y, dot(x, l)) 117.08/30.81 les(s(s(x)), 0) -> les(s(x), 0) 117.08/30.81 les(s(0), 0) -> false 117.08/30.81 les(s(x), s(y)) -> les(x, y) 117.08/30.81 les(0, s(s(x))) -> les(0, s(x)) 117.08/30.81 les(0, s(0)) -> true 117.08/30.81 ) 117.08/30.81 117.08/30.81 117.08/30.81 EOF