4.59/2.16 MAYBE 4.59/2.16 4.59/2.16 Proof: 4.59/2.16 ConCon could not decide confluence of the system. 4.59/2.16 \cite{GNG13}, Theorem 9 does not apply. 4.59/2.16 This system is of type 3 or smaller. 4.59/2.16 This system is deterministic. 4.59/2.16 This system is weakly left-linear. 4.59/2.16 This system is non-confluent. 4.59/2.16 Call external tool: 4.59/2.16 ./csi.sh 4.59/2.16 Input: 4.59/2.16 (VAR x y) 4.59/2.16 (RULES 4.59/2.16 f(x, y) -> ?1(a, x, y) 4.59/2.16 ?1(d, x, y) -> g(x) 4.59/2.16 h(s(x)) -> x 4.59/2.16 g(s(x)) -> x 4.59/2.16 b -> d 4.59/2.16 e -> e 4.59/2.16 a -> d 4.59/2.16 f(x, y) -> ?2(b, x, y) 4.59/2.16 ?2(d, x, y) -> h(x) 4.59/2.16 ) 4.59/2.16 4.59/2.16 sorted: (order) 4.59/2.16 0:f(x,y) -> ?1(a(),x,y) 4.59/2.16 ?1(d(),x,y) -> g(x) 4.59/2.16 h(s(x)) -> x 4.59/2.16 g(s(x)) -> x 4.59/2.16 b() -> d() 4.59/2.16 a() -> d() 4.59/2.16 f(x,y) -> ?2(b(),x,y) 4.59/2.16 ?2(d(),x,y) -> h(x) 4.59/2.16 1:e() -> e() 4.59/2.16 ----- 4.59/2.16 sorts 4.59/2.16 [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, 4.59/2.16 11>12, 12>13, 14>17, 16>17, 18>20, 19>20] 4.59/2.16 sort attachment (non-strict) 4.59/2.16 f : 17 x 20 -> 0 4.59/2.16 ?1 : 6 x 16 x 19 -> 1 4.59/2.16 a : 7 4.59/2.16 d : 13 4.59/2.16 g : 8 -> 2 4.59/2.16 h : 9 -> 5 4.59/2.16 s : 15 -> 10 4.59/2.16 b : 12 4.59/2.16 e : 3 4.59/2.16 ?2 : 11 x 14 x 18 -> 4 4.59/2.16 ----- 4.59/2.16 0:f(x,y) -> ?1(a(),x,y) 4.59/2.16 ?1(d(),x,y) -> g(x) 4.59/2.16 h(s(x)) -> x 4.59/2.16 g(s(x)) -> x 4.59/2.16 b() -> d() 4.59/2.16 a() -> d() 4.59/2.16 f(x,y) -> ?2(b(),x,y) 4.59/2.16 ?2(d(),x,y) -> h(x) 4.59/2.16 Nonconfluence Processor: 4.59/2.16 terms: g(x) *<- f(x,y) ->* h(x) 4.59/2.16 Qed 4.59/2.16 4.59/2.16 4.59/2.16 1:e() -> e() 4.59/2.16 Open 4.59/2.16 4.59/2.16 4.59/2.19 EOF