MAYBE (ignored inputs)COMMENT full experiments for [35] submitted by: Takahito Aoto and Yoshihito Toyama Rewrite Rules: [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)), +(?x,+(?y,?z)) -> +(+(?x,?y),?z), +(?x,?y) -> +(?y,?x) ] Apply Direct Methods... Inner CPs: [ +(+(+(?x_1,?y_1),?z_1),?z) = +(?x_1,+(+(?y_1,?z_1),?z)), +(+(?y_2,?x_2),?z) = +(?x_2,+(?y_2,?z)), +(?x_1,+(?x,+(?y,?z))) = +(+(?x_1,+(?x,?y)),?z), +(?x_1,+(?y_2,?x_2)) = +(+(?x_1,?x_2),?y_2), +(+(?x,+(?y,?z)),?z_1) = +(+(?x,?y),+(?z,?z_1)), +(?x_1,+(+(?x,?y),?z)) = +(+(?x_1,?x),+(?y,?z)) ] Outer CPs: [ +(?x,+(?y,+(?y_1,?z_1))) = +(+(+(?x,?y),?y_1),?z_1), +(?x,+(?y,?z)) = +(?z,+(?x,?y)), +(+(?x_1,?y_1),?z_1) = +(+(?y_1,?z_1),?x_1) ] Linear (inner) Parallel CPs: [ +(+(?y_3,?x_3),?z) = +(?x_3,+(?y_3,?z)) {?x_3,?y_3}, +(+(+(?x_2,?y_2),?z_2),?z) = +(?x_2,+(+(?y_2,?z_2),?z)) {?x_2,?y_2,?z_2}, +(+(?x_1,+(?y_1,?z_1)),?z) = +(+(?x_1,?y_1),+(?z_1,?z)) {?x_1,?y_1,?z_1}, +(?x,+(?y_3,?x_3)) = +(+(?x,?x_3),?y_3) {?x_3,?y_3}, +(?x,+(+(?x_2,?y_2),?z_2)) = +(+(?x,?x_2),+(?y_2,?z_2)) {?x_2,?y_2,?z_2}, +(?x,+(?x_1,+(?y_1,?z_1))) = +(+(?x,+(?x_1,?y_1)),?z_1) {?x_1,?y_1,?z_1} ] unknown Toyama (Parallel CPs) Direct Methods: Can't judge Combined result: Can't judge 178.trs: Failure(unknown CR) (0 msec.)