NO
(ignored inputs)COMMENT experiments for [125] submitted by: Takahito Aoto
input TRS:
   [ inv(0) -> 0,
     inv(s(?x)) -> p(inv(?x)),
     inv(p(?x)) -> s(inv(?x)),
     minus(?x,0) -> ?x,
     minus(?x,p(?y)) -> s(minus(?x,?y)),
     minus(?x,s(?y)) -> p(minus(?x,?y)),
     minus(0,?x) -> inv(?x),
     inv(?x) -> minus(0,?x),
     inv(minus(?x,?y)) -> minus(?y,?x),
     s(p(?x)) -> ?x,
     p(s(?x)) -> ?x ]
TRS:
   [ inv(0) -> 0,
     inv(s(?x)) -> p(inv(?x)),
     inv(p(?x)) -> s(inv(?x)),
     minus(?x,0) -> ?x,
     minus(?x,p(?y)) -> s(minus(?x,?y)),
     minus(?x,s(?y)) -> p(minus(?x,?y)),
     minus(0,?x) -> inv(?x),
     inv(?x) -> minus(0,?x),
     inv(minus(?x,?y)) -> minus(?y,?x),
     s(p(?x)) -> ?x,
     p(s(?x)) -> ?x ]
constructed TRS:
   [ inv(0) -> 0,
     inv(s(?x)) -> p(inv(?x)),
     inv(p(?x)) -> s(inv(?x)),
     minus(?x,0) -> ?x,
     minus(?x,p(?y)) -> s(minus(?x,?y)),
     minus(?x,s(?y)) -> p(minus(?x,?y)),
     minus(0,?x) -> inv(?x),
     inv(?x) -> minus(0,?x),
     inv(minus(?x,?y)) -> minus(?y,?x),
     s(p(?x)) -> ?x,
     p(s(?x)) -> ?x,
     p(inv(p(?x_8))) -> inv(?x_8),
     s(inv(s(?x_9))) -> inv(?x_9),
     s(minus(?x_3,s(?x_9))) -> minus(?x_3,?x_9),
     p(minus(?x_4,p(?x_8))) -> minus(?x_4,?x_8),
     minus(0,minus(?x_7,?y_7)) -> minus(?y_7,?x_7),
     inv(s(minus(?x_3,?y_3))) -> minus(p(?y_3),?x_3),
     inv(p(minus(?x_4,?y_4))) -> minus(s(?y_4),?x_4),
     inv(inv(?x_5)) -> ?x_5 ]
convertible distinct normal forms: minus(s(?x_24),?y_24) = s(minus(?x_24,?y_24))
UNC Completion (Strongly Closed)
problems/632.trs: Success(not UNC)
(8 msec.)