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)),
     *(?x,0) -> 0,
     *(?x,s(?y)) -> +(*(?x,?y),?x),
     *(0,?y) -> 0,
     *(s(?x),?y) -> +(*(?x,?y),?y),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x,?y) -> +(?y,?x),
     *(?x,?y) -> *(?y,?x) ]
Apply Direct Methods...
Inner CPs:
   [ +(?x,?z_8) = +(?x,+(0,?z_8)),
     +(s(+(?x_1,?y_1)),?z_8) = +(?x_1,+(s(?y_1),?z_8)),
     +(?y_2,?z_8) = +(0,+(?y_2,?z_8)),
     +(s(+(?x_3,?y_3)),?z_8) = +(s(?x_3),+(?y_3,?z_8)),
     +(+(?y_9,?x_9),?z_8) = +(?x_9,+(?y_9,?z_8)),
     +(+(?x,+(?y,?z)),?z_1) = +(+(?x,?y),+(?z,?z_1)) ]
Outer CPs:
   [ 0 = 0,
     s(?x_3) = s(+(?x_3,0)),
     +(?x_8,?y_8) = +(?x_8,+(?y_8,0)),
     ?x = +(0,?x),
     s(+(0,?y_1)) = s(?y_1),
     s(+(s(?x_3),?y_1)) = s(+(?x_3,s(?y_1))),
     s(+(+(?x_8,?y_8),?y_1)) = +(?x_8,+(?y_8,s(?y_1))),
     s(+(?x_1,?y_1)) = +(s(?y_1),?x_1),
     ?y_2 = +(?y_2,0),
     s(+(?x_3,?y_3)) = +(?y_3,s(?x_3)),
     0 = 0,
     0 = +(*(?x_7,0),0),
     0 = *(0,?x_4),
     +(*(0,?y_5),0) = 0,
     +(*(s(?x_7),?y_5),s(?x_7)) = +(*(?x_7,s(?y_5)),s(?y_5)),
     +(*(?x_5,?y_5),?x_5) = *(s(?y_5),?x_5),
     0 = *(?y_6,0),
     +(*(?x_7,?y_7),?y_7) = *(?y_7,s(?x_7)),
     +(?x_8,+(?y_8,?z_8)) = +(?z_8,+(?x_8,?y_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
169.trs: Failure(unknown CR)
(0 msec.)