Rewrite Rules: [ F(H(?x),?y) -> F(H(?x),I(I(?y))), F(?x,G(?y)) -> F(I(?x),G(?y)), I(?x) -> ?x ] Apply Direct Methods... Inner CPs: [ ] Outer CPs: [ F(H(?x),I(I(G(?y_1)))) = F(I(H(?x)),G(?y_1)) ] Overlay, check Innermost Termination... unknown Innermost Terminating unknown Knuth&Bendix Linear Development Closed Direct Methods: CR Final result: CR /local-scratch/hzankl/2012/cops2012/96.trs: Success(CR) (21 msec.)