0.00/0.02 YES 0.00/0.02 (ignored inputs)COMMENT [101] Example 3.3 submitted by: Thomas Sternagel 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ f(?x) -> a | a == ?x, 0.00/0.02 f(?x) -> b | b == ?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) -> U1(a,?x), 0.00/0.02 U1(?x,?x) -> a, 0.00/0.02 f(?x) -> U1(b,?x), 0.00/0.02 U1(?x,?x) -> b ] 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 [ b = a | b == ?x_1,a == ?x_1, 0.00/0.02 a = b | a == ?x,b == ?x ] 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