(ignored inputs)COMMENT doi:10.1017/CBO9781139172752 [4] Example 6.3.4 submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama Rewrite Rules: [ +(s(?x),?y) -> s(+(?x,?y)), +(?x,s(?y)) -> s(+(?x,?y)), +(?x,?y) -> +(?y,?x) ] Apply Direct Methods... Inner CPs: [ ] Outer CPs: [ s(+(?x,s(?y_1))) = s(+(s(?x),?y_1)), s(+(?x,?y)) = +(?y,s(?x)), s(+(?x_1,?y_1)) = +(s(?y_1),?x_1) ] Overlay, check Innermost Termination... unknown Innermost Terminating unknown Knuth & Bendix Linear Development Closed Direct Methods: CR Combined result: CR 8.trs: Success(CR) YES (0 msec.)