117.48/30.84 MAYBE 117.48/30.84 117.48/30.84 Proof: 117.48/30.84 ConCon could not decide confluence of the system. 117.48/30.84 \cite{ALS94}, Theorem 4.1 does not apply. 117.48/30.84 This system is of type 3 or smaller. 117.48/30.84 This system is strongly deterministic. 117.48/30.84 This system is of type 3 or smaller. 117.48/30.84 This system is deterministic. 117.48/30.84 ConCon could not decide if this system is quasi-decreasing. 117.48/30.84 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 117.48/30.84 This system is of type 3 or smaller. 117.48/30.84 This system is deterministic. 117.48/30.84 System R transformed to optimized U(R). 117.48/30.84 The external tool could not decide termination of the system. 117.48/30.84 Call external tool: 117.48/30.84 ./ttt2.sh 117.48/30.84 Input: 117.48/30.84 (VAR x y l) 117.48/30.84 (RULES 117.48/30.84 les(0, 0) -> false 117.48/30.84 dot(x, dot(y, l)) -> ?1(les(x, y), x, y, l) 117.48/30.84 ?1(true, x, y, l) -> dot(y, dot(x, l)) 117.48/30.84 les(s(s(x)), 0) -> les(s(x), 0) 117.48/30.84 les(s(0), 0) -> false 117.48/30.84 les(s(x), s(y)) -> les(x, y) 117.48/30.84 les(0, s(s(x))) -> les(0, s(x)) 117.48/30.84 les(0, s(0)) -> true 117.48/30.84 ) 117.48/30.84 117.48/30.84 117.48/30.85 EOF