0.00/0.02 YES 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ f(?x,?y) -> g(?x) | c(g(?x)) == c(a), 0.00/0.02 f(?x,?y) -> h(?x) | c(h(?x)) == c(a), 0.00/0.02 g(s(?x)) -> ?x, 0.00/0.02 h(s(?x)) -> ?x ] 0.00/0.02 Check whether all rules are type 3 0.00/0.02 OK 0.00/0.02 Check whether the input is deterministic 0.00/0.02 OK 0.00/0.02 Result of unraveling: 0.00/0.02 [ f(?x,?y) -> U1(c(g(?x)),?x,?y), 0.00/0.02 U1(c(a),?x,?y) -> g(?x), 0.00/0.02 f(?x,?y) -> U1(c(h(?x)),?x,?y), 0.00/0.02 U1(c(a),?x,?y) -> h(?x), 0.00/0.02 g(s(?x)) -> ?x, 0.00/0.02 h(s(?x)) -> ?x ] 0.00/0.02 Check whether U(R) is terminating 0.00/0.02 OK 0.00/0.02 Check whether the input is weakly left-linear 0.00/0.02 OK 0.00/0.02 Check whether U(R) is confluent 0.00/0.02 U(R) is not confluent 0.00/0.02 Conditional critical pairs (CCPs): 0.00/0.02 [ h(?x_1) = g(?x_1) | c(h(?x_1)) == c(a),c(g(?x_1)) == c(a), 0.00/0.02 g(?x) = h(?x) | c(g(?x)) == c(a),c(h(?x)) == c(a) ] 0.00/0.02 Check whether the input is almost orthogonale 0.00/0.02 not almost orthogonal 0.00/0.02 OK 0.00/0.02 Check whether the input is absolutely irreducible 0.00/0.02 OK 0.00/0.02 Check whether all CCPs are joinable 0.00/0.02 OK 0.00/0.02 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(CR) 0.00/0.02 (0 msec.) 0.00/0.02 EOF