MAYBE
(ignored inputs)COMMENT addition + associative law + commutative law
Rewrite Rules:
   [ +(?x,0) -> ?x,
     +(?x,s(?y)) -> s(+(?x,?y)),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x,?y) -> +(?y,?x) ]
Apply Direct Methods...
Inner CPs:
   [ +(?x,?z_2) = +(?x,+(0,?z_2)),
     +(s(+(?x_1,?y_1)),?z_2) = +(?x_1,+(s(?y_1),?z_2)),
     +(+(?y_3,?x_3),?z_2) = +(?x_3,+(?y_3,?z_2)),
     +(+(?x,+(?y,?z)),?z_1) = +(+(?x,?y),+(?z,?z_1)) ]
Outer CPs:
   [ +(?x_2,?y_2) = +(?x_2,+(?y_2,0)),
     ?x = +(0,?x),
     s(+(+(?x_2,?y_2),?y_1)) = +(?x_2,+(?y_2,s(?y_1))),
     s(+(?x_1,?y_1)) = +(s(?y_1),?x_1),
     +(?x_2,+(?y_2,?z_2)) = +(?z_2,+(?x_2,?y_2)) ]
Linear
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Direct Methods: Can't judge

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