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) 0.00/0.00 (RULES 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 d -> m 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 h(x,x) -> g(x,x,f(k)) 0.00/0.00 g(d,x,x) -> A 0.00/0.00 A -> h(f(a),f(b)) 0.00/0.00 f(x) -> x | x == e 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 3 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) 0.00/0.00 (RULES 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 d -> m 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 h(x,x) -> g(x,x,f(k)) 0.00/0.00 g(d,x,x) -> A 0.00/0.00 A -> h(f(a),f(b)) 0.00/0.00 f(x) -> x | x == e 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 3 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) 0.00/0.00 (RULES 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 d -> m 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 h(x,x) -> g(x,x,f(k)) 0.00/0.00 g(d,x,x) -> A 0.00/0.00 A -> h(f(a),f(b)) 0.00/0.00 f(x) -> x | x == e 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 3 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) 0.00/0.00 (RULES 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 d -> m 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 h(x,x) -> g(x,x,f(k)) 0.00/0.00 g(d,x,x) -> A 0.00/0.00 A -> h(f(a),f(b)) 0.00/0.00 f(x) -> x | x == e 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 3 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) 0.00/0.00 (RULES 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 d -> m 0.00/0.00 k -> l 0.00/0.00 k -> m 0.00/0.00 h(x,x) -> g(x,x,f(k)) 0.00/0.00 g(d,x,x) -> A 0.00/0.00 A -> h(f(a),f(b)) 0.00/0.00 f(x) -> x | x == e 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 3 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 NO 0.00/0.00 EOF