MAYBE (ignored inputs)COMMENT full experiments for [35] submitted by: Takahito Aoto and Yoshihito Toyama Rewrite Rules: [ +(?x,0) -> ?x, +(?x,s(?y)) -> s(+(?x,?y)), +(0,?y) -> ?y, +(s(?x),?y) -> s(+(?x,?y)), *(k,0) -> 0, *(k,s(?y)) -> +(k,*(k,?y)), +(?x,?y) -> +(?y,?x), +(+(?x,?y),?z) -> +(?x,+(?y,?z)) ] Apply Direct Methods... Inner CPs: [ +(?x,?z_6) = +(?x,+(0,?z_6)), +(s(+(?x_1,?y_1)),?z_6) = +(?x_1,+(s(?y_1),?z_6)), +(?y_2,?z_6) = +(0,+(?y_2,?z_6)), +(s(+(?x_3,?y_3)),?z_6) = +(s(?x_3),+(?y_3,?z_6)), +(+(?y_5,?x_5),?z_6) = +(?x_5,+(?y_5,?z_6)), +(+(?x,+(?y,?z)),?z_1) = +(+(?x,?y),+(?z,?z_1)) ] Outer CPs: [ 0 = 0, s(?x_3) = s(+(?x_3,0)), ?x = +(0,?x), +(?x_6,?y_6) = +(?x_6,+(?y_6,0)), s(+(0,?y_1)) = s(?y_1), s(+(s(?x_3),?y_1)) = s(+(?x_3,s(?y_1))), s(+(?x_1,?y_1)) = +(s(?y_1),?x_1), s(+(+(?x_6,?y_6),?y_1)) = +(?x_6,+(?y_6,s(?y_1))), ?y_2 = +(?y_2,0), s(+(?x_3,?y_3)) = +(?y_3,s(?x_3)), +(?y_5,+(?x_6,?y_6)) = +(?x_6,+(?y_6,?y_5)) ] Linear (inner) Parallel CPs: (not computed) unknown Toyama (Parallel CPs) Direct Methods: Can't judge Combined result: Can't judge 151.trs: Failure(unknown CR) (0 msec.)