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,0) -> 0,
     *(?x,s(?y)) -> +(*(?x,?y),?x),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x,?y) -> +(?y,?x),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(?x,?y) -> *(?y,?x),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)) ]
Apply Direct Methods...
Inner CPs:
   [ +(?x,?z_4) = +(?x,+(0,?z_4)),
     +(s(+(?x_1,?y_1)),?z_4) = +(?x_1,+(s(?y_1),?z_4)),
     +(+(?y_5,?x_5),?z_4) = +(?x_5,+(?y_5,?z_4)),
     *(0,?z_6) = *(?x_2,*(0,?z_6)),
     *(+(*(?x_3,?y_3),?x_3),?z_6) = *(?x_3,*(s(?y_3),?z_6)),
     *(*(?y_7,?x_7),?z_6) = *(?x_7,*(?y_7,?z_6)),
     *(+(*(?x_8,?y_8),*(?x_8,?z_8)),?z_6) = *(?x_8,*(+(?y_8,?z_8),?z_6)),
     *(?x_8,?x) = +(*(?x_8,?x),*(?x_8,0)),
     *(?x_8,s(+(?x_1,?y_1))) = +(*(?x_8,?x_1),*(?x_8,s(?y_1))),
     *(?x_8,+(?x_4,+(?y_4,?z_4))) = +(*(?x_8,+(?x_4,?y_4)),*(?x_8,?z_4)),
     *(?x_8,+(?y_5,?x_5)) = +(*(?x_8,?x_5),*(?x_8,?y_5)),
     +(+(?x,+(?y,?z)),?z_1) = +(+(?x,?y),+(?z,?z_1)),
     *(*(?x,*(?y,?z)),?z_1) = *(*(?x,?y),*(?z,?z_1)) ]
Outer CPs:
   [ +(?x_4,?y_4) = +(?x_4,+(?y_4,0)),
     ?x = +(0,?x),
     s(+(+(?x_4,?y_4),?y_1)) = +(?x_4,+(?y_4,s(?y_1))),
     s(+(?x_1,?y_1)) = +(s(?y_1),?x_1),
     0 = *(?x_6,*(?y_6,0)),
     0 = *(0,?x_2),
     +(*(*(?x_6,?y_6),?y_3),*(?x_6,?y_6)) = *(?x_6,*(?y_6,s(?y_3))),
     +(*(?x_3,?y_3),?x_3) = *(s(?y_3),?x_3),
     +(?x_4,+(?y_4,?z_4)) = +(?z_4,+(?x_4,?y_4)),
     *(?x_6,*(?y_6,?z_6)) = *(?z_6,*(?x_6,?y_6)),
     *(?x_6,*(?y_6,+(?y_8,?z_8))) = +(*(*(?x_6,?y_6),?y_8),*(*(?x_6,?y_6),?z_8)),
     *(+(?y_8,?z_8),?x_7) = +(*(?x_7,?y_8),*(?x_7,?z_8)) ]
Left-Linear, not Right-Linear
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Direct Methods: Can't judge

Combined result: Can't judge
203.trs: Failure(unknown CR)
(0 msec.)