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)),
     dbl(0) -> 0,
     dbl(s(?x)) -> s(s(dbl(?x))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x,?y) -> +(?y,?x),
     dbl(+(?x,?y)) -> +(dbl(?x),dbl(?y)) ]
Apply Direct Methods...
Inner CPs:
   [ +(?x,?z_5) = +(?x,+(0,?z_5)),
     +(s(+(?x_1,?y_1)),?z_5) = +(?x_1,+(s(?y_1),?z_5)),
     +(?y_2,?z_5) = +(0,+(?y_2,?z_5)),
     +(s(+(?x_3,?y_3)),?z_5) = +(s(?x_3),+(?y_3,?z_5)),
     +(+(?y_6,?x_6),?z_5) = +(?x_6,+(?y_6,?z_5)),
     dbl(?x) = +(dbl(?x),dbl(0)),
     dbl(s(+(?x_1,?y_1))) = +(dbl(?x_1),dbl(s(?y_1))),
     dbl(?y_2) = +(dbl(0),dbl(?y_2)),
     dbl(s(+(?x_3,?y_3))) = +(dbl(s(?x_3)),dbl(?y_3)),
     dbl(+(?x_5,+(?y_5,?z_5))) = +(dbl(+(?x_5,?y_5)),dbl(?z_5)),
     dbl(+(?y_6,?x_6)) = +(dbl(?x_6),dbl(?y_6)),
     +(+(?x,+(?y,?z)),?z_1) = +(+(?x,?y),+(?z,?z_1)) ]
Outer CPs:
   [ 0 = 0,
     s(?x_3) = s(+(?x_3,0)),
     +(?x_5,?y_5) = +(?x_5,+(?y_5,0)),
     ?x = +(0,?x),
     s(+(0,?y_1)) = s(?y_1),
     s(+(s(?x_3),?y_1)) = s(+(?x_3,s(?y_1))),
     s(+(+(?x_5,?y_5),?y_1)) = +(?x_5,+(?y_5,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)),
     +(?x_5,+(?y_5,?z_5)) = +(?z_5,+(?x_5,?y_5)) ]
Linear
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Direct Methods: Can't judge

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