MAYBE (ignored inputs)COMMENT experiments for [36] submitted by: Takahito Aoto Rewrite Rules: [ +(0,?y) -> ?y, +(s(0),?y) -> s(?y), +(s(s(?x)),?y) -> s(s(+(?y,?x))), +(?x,+(?y,?z)) -> +(+(?z,?y),?x) ] Apply Direct Methods... Inner CPs: [ +(?x_3,?y) = +(+(?y,0),?x_3), +(?x_3,s(?y_1)) = +(+(?y_1,s(0)),?x_3), +(?x_3,s(s(+(?y_2,?x_2)))) = +(+(?y_2,s(s(?x_2))),?x_3), +(?x_1,+(+(?z,?y),?x)) = +(+(+(?y,?z),?x),?x_1) ] Outer CPs: [ +(?y_3,?z_3) = +(+(?z_3,?y_3),0), s(+(?y_3,?z_3)) = +(+(?z_3,?y_3),s(0)), s(s(+(+(?y_3,?z_3),?x_2))) = +(+(?z_3,?y_3),s(s(?x_2))) ] Linear (inner) Parallel CPs: (not computed) unknown Toyama (Parallel CPs) Direct Methods: Can't judge Combined result: Can't judge 588.trs: Failure(unknown CR) (0 msec.)