MAYBE (ignored inputs)COMMENT full experiments for [35] submitted by: Takahito Aoto and Yoshihito Toyama Rewrite Rules: [ +(0,?y) -> ?y, +(?x,0) -> ?x, +(s(?x),?y) -> s(+(?y,?x)), +(?x,s(?y)) -> s(+(?y,?x)), +(?x,+(?y,?z)) -> +(+(?x,?y),?z), +(?x,?y) -> +(?y,?x) ] Apply Direct Methods... Inner CPs: [ +(?x_4,?y) = +(+(?x_4,0),?y), +(?x_4,?x_1) = +(+(?x_4,?x_1),0), +(?x_4,s(+(?y_2,?x_2))) = +(+(?x_4,s(?x_2)),?y_2), +(?x_4,s(+(?y_3,?x_3))) = +(+(?x_4,?x_3),s(?y_3)), +(?x_4,+(?y_5,?x_5)) = +(+(?x_4,?x_5),?y_5), +(?x_1,+(+(?x,?y),?z)) = +(+(?x_1,?x),+(?y,?z)) ] Outer CPs: [ 0 = 0, s(?y_3) = s(+(?y_3,0)), +(?y_4,?z_4) = +(+(0,?y_4),?z_4), ?y = +(?y,0), s(?x_2) = s(+(0,?x_2)), ?x_1 = +(0,?x_1), s(+(s(?y_3),?x_2)) = s(+(?y_3,s(?x_2))), s(+(+(?y_4,?z_4),?x_2)) = +(+(s(?x_2),?y_4),?z_4), s(+(?y_2,?x_2)) = +(?y_2,s(?x_2)), s(+(?y_3,?x_3)) = +(s(?y_3),?x_3), +(+(?x_4,?y_4),?z_4) = +(+(?y_4,?z_4),?x_4) ] Linear (inner) Parallel CPs: (not computed) unknown Toyama (Parallel CPs) Direct Methods: Can't judge Combined result: Can't judge 191.trs: Failure(unknown CR) (0 msec.)