0.10/0.10 YES 0.10/0.10 Conditional Rewrite Rules: 0.10/0.10 [ b -> f(a), 0.10/0.10 f(?x) -> f(a) | b == ?x ] 0.10/0.10 Check whether all rules are type 3 0.10/0.10 OK 0.10/0.10 Check whether the input is deterministic 0.10/0.10 OK 0.10/0.10 Result of unraveling: 0.10/0.10 [ b -> f(a), 0.10/0.10 f(?x) -> U0(b,?x), 0.10/0.10 U0(?x,?x) -> f(a) ] 0.10/0.10 Check whether U(R) is terminating 0.10/0.10 failed to show termination 0.10/0.10 Check whether the input is weakly left-linear 0.10/0.10 OK 0.10/0.10 Conditional critical pairs (CCPs): 0.10/0.10 [ ] 0.10/0.10 Check whether the input is almost orthogonale 0.10/0.10 OK 0.10/0.10 Check whether the input is properly oriented 0.10/0.10 OK 0.10/0.10 Check whether the input is right-stable 0.10/0.10 not right-stable 0.10/0.10 OK 0.10/0.10 Check U(R) is confluent 0.10/0.10 Rewrite Rules: 0.10/0.10 [ b -> f(a), 0.10/0.10 f(?x) -> U0(b,?x), 0.10/0.10 U0(?x,?x) -> f(a) ] 0.10/0.10 Apply Direct Methods... 0.10/0.10 Inner CPs: 0.10/0.10 [ ] 0.10/0.10 Outer CPs: 0.10/0.10 [ ] 0.10/0.10 Overlay, check Innermost Termination... 0.10/0.10 unknown Innermost Terminating 0.10/0.10 unknown Knuth & Bendix 0.10/0.10 not Left-Linear, Right-Linear 0.10/0.10 Simple-Right-Linear 0.10/0.10 Direct Methods: CR 0.10/0.10 0.10/0.10 Combined result: CR 0.10/0.10 U(R) is confluent 0.10/0.10 R is deterministic, weakly left-linear and U(R) is confluent 0.10/0.10 /home/www/colo6-c703/cocoweb/session/c9l2hu6ptm1v0ic6b4oohpr3d1/JLAMP21CTRS_2.trs: Success(CR) 0.10/0.10 (29 msec.)