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)),
     inc(?x) -> s(?x),
     +(?x,?y) -> +(?y,?x),
     inc(+(?x,?y)) -> +(inc(?x),?y) ]
Apply Direct Methods...
Inner CPs:
   [ inc(?x) = +(inc(?x),0),
     inc(s(+(?x_1,?y_1))) = +(inc(?x_1),s(?y_1)),
     inc(?y_2) = +(inc(0),?y_2),
     inc(s(+(?x_3,?y_3))) = +(inc(s(?x_3)),?y_3),
     inc(+(?y_5,?x_5)) = +(inc(?x_5),?y_5) ]
Outer CPs:
   [ 0 = 0,
     s(?x_3) = s(+(?x_3,0)),
     ?x = +(0,?x),
     s(+(0,?y_1)) = s(?y_1),
     s(+(s(?x_3),?y_1)) = s(+(?x_3,s(?y_1))),
     s(+(?x_1,?y_1)) = +(s(?y_1),?x_1),
     ?y_2 = +(?y_2,0),
     s(+(?x_3,?y_3)) = +(?y_3,s(?x_3)),
     s(+(?x_6,?y_6)) = +(inc(?x_6),?y_6) ]
Linear
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Direct Methods: Can't judge

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