MAYBE
(ignored inputs)COMMENT full experiments for [35] submitted by: Takahito Aoto and Yoshihito Toyama
Rewrite Rules:
   [ +(0,?y) -> ?y,
     +(?x,0) -> ?x,
     +(s(?x),?y) -> s(+(?x,?y)),
     +(?x,s(?y)) -> s(+(?x,?y)),
     +(?x,+(?y,?z)) -> +(+(?x,?y),?z),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)) ]
Apply Direct Methods...
Inner CPs:
   [ +(?x_4,?y) = +(+(?x_4,0),?y),
     +(?x_4,?x_1) = +(+(?x_4,?x_1),0),
     +(?x_4,s(+(?x_2,?y_2))) = +(+(?x_4,s(?x_2)),?y_2),
     +(?x_4,s(+(?x_3,?y_3))) = +(+(?x_4,?x_3),s(?y_3)),
     +(?x_4,+(?x_5,+(?y_5,?z_5))) = +(+(?x_4,+(?x_5,?y_5)),?z_5),
     +(?y,?z_5) = +(0,+(?y,?z_5)),
     +(?x_1,?z_5) = +(?x_1,+(0,?z_5)),
     +(s(+(?x_2,?y_2)),?z_5) = +(s(?x_2),+(?y_2,?z_5)),
     +(s(+(?x_3,?y_3)),?z_5) = +(?x_3,+(s(?y_3),?z_5)),
     +(+(+(?x_4,?y_4),?z_4),?z_5) = +(?x_4,+(+(?y_4,?z_4),?z_5)),
     +(?x_1,+(+(?x,?y),?z)) = +(+(?x_1,?x),+(?y,?z)),
     +(+(?x,+(?y,?z)),?z_1) = +(+(?x,?y),+(?z,?z_1)) ]
Outer CPs:
   [ 0 = 0,
     s(?y_3) = s(+(0,?y_3)),
     +(?y_4,?z_4) = +(+(0,?y_4),?z_4),
     s(?x_2) = s(+(?x_2,0)),
     +(?x_5,?y_5) = +(?x_5,+(?y_5,0)),
     s(+(?x_2,s(?y_3))) = s(+(s(?x_2),?y_3)),
     s(+(?x_2,+(?y_4,?z_4))) = +(+(s(?x_2),?y_4),?z_4),
     s(+(+(?x_5,?y_5),?y_3)) = +(?x_5,+(?y_5,s(?y_3))),
     +(+(+(?x_5,?y_5),?y_4),?z_4) = +(?x_5,+(?y_5,+(?y_4,?z_4))) ]
Linear
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Direct Methods: Can't judge

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