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 y x) 0.00/0.00 (RULES 0.00/0.00 f(c(x),c(c(y))) -> a(a(x)) | c(f(x,y)) == c(a(b)) 0.00/0.00 f(c(c(c(x))),y) -> a(y) | c(f(c(x),c(c(y)))) == c(a(a(b))) 0.00/0.00 a(x) -> b 0.00/0.00 a(x) -> f(x,x) 0.00/0.00 ) 0.00/0.00 (COMMENT Example 2 in extended version of [92]) 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 y x) 0.00/0.00 (RULES 0.00/0.00 f(c(x),c(c(y))) -> a(a(x)) | f(x,y) == a(b) 0.00/0.00 f(c(c(c(x))),y) -> a(y) | f(c(x),c(c(y))) == a(a(b)) 0.00/0.00 a(x) -> b 0.00/0.00 a(x) -> f(x,x) 0.00/0.00 ) 0.00/0.00 (COMMENT Example 2 in extended version of [92]) 0.00/0.00 0.00/0.00 Removed infeasible rules as much as possible. 0.00/0.00 (VAR y x) 0.00/0.00 (RULES 0.00/0.00 a(x) -> b 0.00/0.00 a(x) -> f(x,x) 0.00/0.00 ) 0.00/0.00 (COMMENT Example 2 in extended version of [92]) 0.00/0.00 0.00/0.00 Try to disprove confluence of the following (C)TRS: 0.00/0.00 (VAR y x) 0.00/0.00 (RULES 0.00/0.00 a(x) -> b 0.00/0.00 a(x) -> f(x,x) 0.00/0.00 ) 0.00/0.00 (COMMENT Example 2 in extended version of [92]) 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 (VAR y x) 0.00/0.00 (RULES 0.00/0.00 a(x) -> b 0.00/0.00 a(x) -> f(x,x) 0.00/0.00 ) 0.00/0.00 (COMMENT Example 2 in extended version of [92]) 0.00/0.00 0.00/0.00 NO 0.00/0.00 EOF