Rewrite Rules: [ I(?x) -> I(J(?x)), J(?x) -> J(K(J(?x))), H(I(?x)) -> K(J(?x)), J(?x) -> K(J(?x)) ] Apply Direct Methods... Inner CPs: [ H(I(J(?x))) = K(J(?x)) ] Outer CPs: [ J(K(J(?x_1))) = K(J(?x_1)) ] not Overlay, check Termination... unknown/not Terminating unknown Knuth&Bendix Linear unknown Development Closed unknown Strongly Closed unknown Upside-Parallel-Closed/Outside-Closed (inner) Parallel CPs: (not computed) unknown Toyama (Parallel CPs) Simultaneous CPs: [ J(K(J(?x))) = K(J(?x)), H(I(J(?x))) = K(J(?x)), K(J(?x)) = J(K(J(?x))), K(J(?x)) = H(I(J(?x))) ] Okui (Simultaneous CPs) Direct Methods: CR Final result: CR /local-scratch/hzankl/2012/cops2012/102.trs: Success(CR) (1 msec.)