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)), +(?x,p(?y)) -> p(+(?x,?y)), +(0,?y) -> ?y, +(s(?x),?y) -> s(+(?x,?y)), +(p(?x),?y) -> p(+(?x,?y)), s(p(?x)) -> ?x, p(s(?x)) -> ?x, -(0) -> 0, -(s(?x)) -> p(-(?x)), -(p(?x)) -> s(-(?x)), +(?x,?y) -> +(?y,?x), -(+(?x,?y)) -> +(-(?x),-(?y)) ] Apply Direct Methods... Inner CPs: [ +(?x_1,?x_6) = s(+(?x_1,p(?x_6))), +(?x_2,?x_7) = p(+(?x_2,s(?x_7))), +(?x_6,?y_4) = s(+(p(?x_6),?y_4)), +(?x_7,?y_5) = p(+(s(?x_7),?y_5)), s(?x_7) = s(?x_7), p(?x_6) = p(?x_6), -(?x_6) = p(-(p(?x_6))), -(?x_7) = s(-(s(?x_7))), -(?x) = +(-(?x),-(0)), -(s(+(?x_1,?y_1))) = +(-(?x_1),-(s(?y_1))), -(p(+(?x_2,?y_2))) = +(-(?x_2),-(p(?y_2))), -(?y_3) = +(-(0),-(?y_3)), -(s(+(?x_4,?y_4))) = +(-(s(?x_4)),-(?y_4)), -(p(+(?x_5,?y_5))) = +(-(p(?x_5)),-(?y_5)), -(+(?y_10,?x_10)) = +(-(?x_10),-(?y_10)) ] Outer CPs: [ 0 = 0, s(?x_4) = s(+(?x_4,0)), p(?x_5) = p(+(?x_5,0)), ?x = +(0,?x), s(+(0,?y_1)) = s(?y_1), s(+(s(?x_4),?y_1)) = s(+(?x_4,s(?y_1))), s(+(p(?x_5),?y_1)) = p(+(?x_5,s(?y_1))), s(+(?x_1,?y_1)) = +(s(?y_1),?x_1), p(+(0,?y_2)) = p(?y_2), p(+(s(?x_4),?y_2)) = s(+(?x_4,p(?y_2))), p(+(p(?x_5),?y_2)) = p(+(?x_5,p(?y_2))), p(+(?x_2,?y_2)) = +(p(?y_2),?x_2), ?y_3 = +(?y_3,0), s(+(?x_4,?y_4)) = +(?y_4,s(?x_4)), p(+(?x_5,?y_5)) = +(?y_5,p(?x_5)) ] Linear (inner) Parallel CPs: (not computed) unknown Toyama (Parallel CPs) Direct Methods: Can't judge Combined result: Can't judge 154.trs: Failure(unknown CR) (0 msec.)