0.00/0.00 NO 0.00/0.00 0.00/0.00 0.00/0.00 Succeeded in reading "/export/starexec/sandbox/benchmark/theBenchmark.trs". 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == e 0.00/0.00 g(d,x,y) -> A | y == x 0.00/0.00 h(x,y) -> g(x,y,f(k)) | y == x 0.00/0.00 a -> c 0.00/0.00 a -> d 0.00/0.00 b -> c 0.00/0.00 b -> d 0.00/0.00 c -> e 0.00/0.00 c -> l 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 d -> m 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.1 ( R_6 ) submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 No "->="-rules. 0.00/0.00 0.00/0.00 Decomposed conditions if possible. 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == e 0.00/0.00 g(d,x,y) -> A | y == x 0.00/0.00 h(x,y) -> g(x,y,f(k)) | y == x 0.00/0.00 a -> c 0.00/0.00 a -> d 0.00/0.00 b -> c 0.00/0.00 b -> d 0.00/0.00 c -> e 0.00/0.00 c -> l 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 d -> m 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.1 ( R_6 ) submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Removed infeasible rules as much as possible. 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == e 0.00/0.00 g(d,x,y) -> A | y == x 0.00/0.00 h(x,y) -> g(x,y,f(k)) | y == x 0.00/0.00 a -> c 0.00/0.00 a -> d 0.00/0.00 b -> c 0.00/0.00 b -> d 0.00/0.00 c -> e 0.00/0.00 c -> l 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 d -> m 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.1 ( R_6 ) submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Try to disprove confluence of the following (C)TRS: 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == e 0.00/0.00 g(d,x,y) -> A | y == x 0.00/0.00 h(x,y) -> g(x,y,f(k)) | y == x 0.00/0.00 a -> c 0.00/0.00 a -> d 0.00/0.00 b -> c 0.00/0.00 b -> d 0.00/0.00 c -> e 0.00/0.00 c -> l 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 d -> m 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.1 ( R_6 ) submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Succeeded in disproving confluence. 0.00/0.00 0.00/0.00 Disproved via the following (C)TRS: 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 f(x) -> x | x == e 0.00/0.00 g(d,x,y) -> A | y == x 0.00/0.00 h(x,y) -> g(x,y,f(k)) | y == x 0.00/0.00 a -> c 0.00/0.00 a -> d 0.00/0.00 b -> c 0.00/0.00 b -> d 0.00/0.00 c -> e 0.00/0.00 c -> l 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 d -> m 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.1 ( R_6 ) submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 NO 0.00/0.00 EOF