4.65/2.23 MAYBE 4.65/2.23 4.65/2.23 Proof: 4.65/2.23 ConCon could not decide confluence of the system. 4.65/2.23 \cite{GNG13}, Theorem 9 does not apply. 4.65/2.23 This system is of type 3 or smaller. 4.65/2.23 This system is deterministic. 4.65/2.23 This system is weakly left-linear. 4.65/2.23 This system is non-confluent. 4.65/2.23 Call external tool: 4.65/2.23 ./csi.sh 4.65/2.23 Input: 4.65/2.24 (VAR x y) 4.65/2.24 (RULES 4.65/2.24 f(x, y) -> ?1(a, x, y) 4.65/2.24 ?1(d, x, y) -> g(x) 4.65/2.24 h(s(x)) -> x 4.65/2.24 g(s(x)) -> x 4.65/2.24 b -> d 4.65/2.24 e -> e 4.65/2.24 a -> d 4.65/2.24 f(x, y) -> ?2(b, x, y) 4.65/2.24 ?2(d, x, y) -> h(x) 4.65/2.24 ) 4.65/2.24 4.65/2.24 sorted: (order) 4.65/2.24 0:f(x,y) -> ?1(a(),x,y) 4.65/2.24 ?1(d(),x,y) -> g(x) 4.65/2.24 h(s(x)) -> x 4.65/2.24 g(s(x)) -> x 4.65/2.24 b() -> d() 4.65/2.24 a() -> d() 4.65/2.24 f(x,y) -> ?2(b(),x,y) 4.65/2.24 ?2(d(),x,y) -> h(x) 4.65/2.24 1:e() -> e() 4.65/2.24 ----- 4.65/2.24 sorts 4.65/2.24 [0>1, 0>4, 1>2, 1>6, 1>19, 2>8, 4>5, 4>11, 4>18, 5>9, 6>7, 7>13, 8>10, 8>16, 9>10, 9>14, 10>15, 4.65/2.24 11>12, 12>13, 14>17, 16>17, 18>20, 19>20] 4.65/2.24 sort attachment (non-strict) 4.65/2.24 f : 17 x 20 -> 0 4.65/2.24 ?1 : 6 x 16 x 19 -> 1 4.65/2.24 a : 7 4.65/2.24 d : 13 4.65/2.24 g : 8 -> 2 4.65/2.24 h : 9 -> 5 4.65/2.24 s : 15 -> 10 4.65/2.24 b : 12 4.65/2.24 e : 3 4.65/2.24 ?2 : 11 x 14 x 18 -> 4 4.65/2.24 ----- 4.65/2.24 0:f(x,y) -> ?1(a(),x,y) 4.65/2.24 ?1(d(),x,y) -> g(x) 4.65/2.24 h(s(x)) -> x 4.65/2.24 g(s(x)) -> x 4.65/2.24 b() -> d() 4.65/2.24 a() -> d() 4.65/2.24 f(x,y) -> ?2(b(),x,y) 4.65/2.24 ?2(d(),x,y) -> h(x) 4.65/2.24 Nonconfluence Processor: 4.65/2.24 terms: g(x) *<- f(x,y) ->* h(x) 4.65/2.24 Qed 4.65/2.24 4.65/2.24 4.65/2.24 1:e() -> e() 4.65/2.24 Open 4.65/2.24 4.65/2.24 4.65/2.27 EOF