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(?y),?x),
     +(?x,+(?y,?z)) -> +(+(?x,?y),?z),
     +(?x,?y) -> +(?y,?x),
     dbl(?x) -> +(?x,?x),
     dbl(+(?x,?y)) -> +(dbl(?x),dbl(?y)) ]
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(?y_3),?x_3)) = +(+(?x_4,?x_3),s(?y_3)),
     +(?x_4,+(?y_5,?x_5)) = +(+(?x_4,?x_5),?y_5),
     dbl(?y) = +(dbl(0),dbl(?y)),
     dbl(?x_1) = +(dbl(?x_1),dbl(0)),
     dbl(s(+(?x_2,?y_2))) = +(dbl(s(?x_2)),dbl(?y_2)),
     dbl(+(s(?y_3),?x_3)) = +(dbl(?x_3),dbl(s(?y_3))),
     dbl(+(+(?x_4,?y_4),?z_4)) = +(dbl(?x_4),dbl(+(?y_4,?z_4))),
     dbl(+(?y_5,?x_5)) = +(dbl(?x_5),dbl(?y_5)),
     +(?x_1,+(+(?x,?y),?z)) = +(+(?x_1,?x),+(?y,?z)) ]
Outer CPs:
   [ 0 = 0,
     s(?y_3) = +(s(?y_3),0),
     +(?y_4,?z_4) = +(+(0,?y_4),?z_4),
     ?y = +(?y,0),
     s(?x_2) = s(+(?x_2,0)),
     ?x_1 = +(0,?x_1),
     s(+(?x_2,s(?y_3))) = +(s(?y_3),s(?x_2)),
     s(+(?x_2,+(?y_4,?z_4))) = +(+(s(?x_2),?y_4),?z_4),
     s(+(?x_2,?y_2)) = +(?y_2,s(?x_2)),
     +(s(?y_3),?x_3) = +(s(?y_3),?x_3),
     +(+(?x_4,?y_4),?z_4) = +(+(?y_4,?z_4),?x_4),
     +(+(?x_7,?y_7),+(?x_7,?y_7)) = +(dbl(?x_7),dbl(?y_7)) ]
Left-Linear, not Right-Linear
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Direct Methods: Can't judge

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