NO
(ignored inputs)COMMENT TPDB SRS_Standard/ICFP_2010/4970
input TRS:
   [ 5(5(?x)) -> 0(5(4(0(2(5(4(5(2(1(?x)))))))))),
     5(5(?x)) -> 3(4(1(1(1(1(4(4(0(4(?x)))))))))),
     2(5(5(?x))) -> 4(2(5(4(4(0(0(1(1(2(?x)))))))))),
     5(2(4(?x))) -> 0(5(0(2(3(3(4(2(4(2(?x)))))))))),
     5(5(2(?x))) -> 0(1(3(2(3(0(3(2(5(3(?x)))))))))),
     5(5(3(?x))) -> 0(3(5(4(4(1(0(1(5(0(?x)))))))))),
     5(5(5(?x))) -> 5(3(4(1(0(1(4(5(0(0(?x)))))))))),
     2(5(0(4(?x)))) -> 4(4(3(2(4(4(5(1(0(0(?x)))))))))),
     4(5(2(4(?x)))) -> 4(1(5(5(2(0(3(1(3(3(?x)))))))))),
     4(5(5(5(?x)))) -> 1(5(1(2(0(3(2(1(0(5(?x)))))))))),
     0(2(5(3(4(?x))))) -> 3(2(4(3(1(5(1(1(3(4(?x)))))))))),
     2(5(5(3(4(?x))))) -> 4(5(4(3(1(4(0(2(4(4(?x)))))))))),
     5(5(5(1(4(?x))))) -> 3(3(0(5(0(4(3(4(4(0(?x)))))))))),
     0(4(4(5(5(5(?x)))))) -> 0(4(4(4(3(3(4(1(3(1(?x)))))))))),
     1(2(4(5(2(4(?x)))))) -> 3(3(5(3(0(4(0(3(1(3(?x)))))))))),
     4(1(5(5(0(4(?x)))))) -> 1(0(3(0(4(2(4(4(3(4(?x)))))))))),
     4(2(5(5(1(5(?x)))))) -> 2(3(4(2(1(1(3(4(2(5(?x)))))))))),
     5(2(5(5(0(4(?x)))))) -> 0(4(2(3(3(5(2(1(4(4(?x)))))))))),
     5(5(2(4(5(0(?x)))))) -> 2(1(1(4(2(4(0(4(2(0(?x)))))))))),
     0(1(5(5(5(3(5(?x))))))) -> 5(3(2(5(1(0(1(2(0(5(?x)))))))))),
     4(4(5(2(4(2(2(?x))))))) -> 4(0(5(5(4(5(1(2(2(1(?x)))))))))) ]
TRS:
   [ 5(5(?x)) -> 0(5(4(0(2(5(4(5(2(1(?x)))))))))),
     5(5(?x)) -> 3(4(1(1(1(1(4(4(0(4(?x)))))))))),
     2(5(5(?x))) -> 4(2(5(4(4(0(0(1(1(2(?x)))))))))),
     5(2(4(?x))) -> 0(5(0(2(3(3(4(2(4(2(?x)))))))))),
     5(5(2(?x))) -> 0(1(3(2(3(0(3(2(5(3(?x)))))))))),
     5(5(3(?x))) -> 0(3(5(4(4(1(0(1(5(0(?x)))))))))),
     5(5(5(?x))) -> 5(3(4(1(0(1(4(5(0(0(?x)))))))))),
     2(5(0(4(?x)))) -> 4(4(3(2(4(4(5(1(0(0(?x)))))))))),
     4(5(2(4(?x)))) -> 4(1(5(5(2(0(3(1(3(3(?x)))))))))),
     4(5(5(5(?x)))) -> 1(5(1(2(0(3(2(1(0(5(?x)))))))))),
     0(2(5(3(4(?x))))) -> 3(2(4(3(1(5(1(1(3(4(?x)))))))))),
     2(5(5(3(4(?x))))) -> 4(5(4(3(1(4(0(2(4(4(?x)))))))))),
     5(5(5(1(4(?x))))) -> 3(3(0(5(0(4(3(4(4(0(?x)))))))))),
     0(4(4(5(5(5(?x)))))) -> 0(4(4(4(3(3(4(1(3(1(?x)))))))))),
     1(2(4(5(2(4(?x)))))) -> 3(3(5(3(0(4(0(3(1(3(?x)))))))))),
     4(1(5(5(0(4(?x)))))) -> 1(0(3(0(4(2(4(4(3(4(?x)))))))))),
     4(2(5(5(1(5(?x)))))) -> 2(3(4(2(1(1(3(4(2(5(?x)))))))))),
     5(2(5(5(0(4(?x)))))) -> 0(4(2(3(3(5(2(1(4(4(?x)))))))))),
     5(5(2(4(5(0(?x)))))) -> 2(1(1(4(2(4(0(4(2(0(?x)))))))))),
     0(1(5(5(5(3(5(?x))))))) -> 5(3(2(5(1(0(1(2(0(5(?x)))))))))),
     4(4(5(2(4(2(2(?x))))))) -> 4(0(5(5(4(5(1(2(2(1(?x)))))))))) ]
New rules by rule reversing:
   [ 5(5(?x)) -> 0(5(4(0(2(5(4(5(2(1(?x)))))))))),
     5(5(?x)) -> 3(4(1(1(1(1(4(4(0(4(?x)))))))))),
     2(5(5(?x))) -> 4(2(5(4(4(0(0(1(1(2(?x)))))))))),
     5(2(4(?x))) -> 0(5(0(2(3(3(4(2(4(2(?x)))))))))),
     5(5(2(?x))) -> 0(1(3(2(3(0(3(2(5(3(?x)))))))))),
     5(5(3(?x))) -> 0(3(5(4(4(1(0(1(5(0(?x)))))))))),
     5(5(5(?x))) -> 5(3(4(1(0(1(4(5(0(0(?x)))))))))),
     2(5(0(4(?x)))) -> 4(4(3(2(4(4(5(1(0(0(?x)))))))))),
     4(1(5(5(2(0(3(1(3(3(?x)))))))))) -> 4(5(2(4(?x)))),
     4(5(5(5(?x)))) -> 1(5(1(2(0(3(2(1(0(5(?x)))))))))),
     0(2(5(3(4(?x))))) -> 3(2(4(3(1(5(1(1(3(4(?x)))))))))),
     2(5(5(3(4(?x))))) -> 4(5(4(3(1(4(0(2(4(4(?x)))))))))),
     5(5(5(1(4(?x))))) -> 3(3(0(5(0(4(3(4(4(0(?x)))))))))),
     0(4(4(5(5(5(?x)))))) -> 0(4(4(4(3(3(4(1(3(1(?x)))))))))),
     1(2(4(5(2(4(?x)))))) -> 3(3(5(3(0(4(0(3(1(3(?x)))))))))),
     4(1(5(5(0(4(?x)))))) -> 1(0(3(0(4(2(4(4(3(4(?x)))))))))),
     4(2(5(5(1(5(?x)))))) -> 2(3(4(2(1(1(3(4(2(5(?x)))))))))),
     5(2(5(5(0(4(?x)))))) -> 0(4(2(3(3(5(2(1(4(4(?x)))))))))),
     5(5(2(4(5(0(?x)))))) -> 2(1(1(4(2(4(0(4(2(0(?x)))))))))),
     0(1(5(5(5(3(5(?x))))))) -> 5(3(2(5(1(0(1(2(0(5(?x)))))))))),
     4(0(5(5(4(5(1(2(2(1(?x)))))))))) -> 4(4(5(2(4(2(2(?x))))))) ]
constructed TRS:
   [ 5(5(?x)) -> 0(5(4(0(2(5(4(5(2(1(?x)))))))))),
     5(5(?x)) -> 3(4(1(1(1(1(4(4(0(4(?x)))))))))),
     2(5(5(?x))) -> 4(2(5(4(4(0(0(1(1(2(?x)))))))))),
     5(2(4(?x))) -> 0(5(0(2(3(3(4(2(4(2(?x)))))))))),
     5(5(2(?x))) -> 0(1(3(2(3(0(3(2(5(3(?x)))))))))),
     5(5(3(?x))) -> 0(3(5(4(4(1(0(1(5(0(?x)))))))))),
     5(5(5(?x))) -> 5(3(4(1(0(1(4(5(0(0(?x)))))))))),
     2(5(0(4(?x)))) -> 4(4(3(2(4(4(5(1(0(0(?x)))))))))),
     4(1(5(5(2(0(3(1(3(3(?x)))))))))) -> 4(5(2(4(?x)))),
     4(5(5(5(?x)))) -> 1(5(1(2(0(3(2(1(0(5(?x)))))))))),
     0(2(5(3(4(?x))))) -> 3(2(4(3(1(5(1(1(3(4(?x)))))))))),
     2(5(5(3(4(?x))))) -> 4(5(4(3(1(4(0(2(4(4(?x)))))))))),
     5(5(5(1(4(?x))))) -> 3(3(0(5(0(4(3(4(4(0(?x)))))))))),
     0(4(4(5(5(5(?x)))))) -> 0(4(4(4(3(3(4(1(3(1(?x)))))))))),
     1(2(4(5(2(4(?x)))))) -> 3(3(5(3(0(4(0(3(1(3(?x)))))))))),
     4(1(5(5(0(4(?x)))))) -> 1(0(3(0(4(2(4(4(3(4(?x)))))))))),
     4(2(5(5(1(5(?x)))))) -> 2(3(4(2(1(1(3(4(2(5(?x)))))))))),
     5(2(5(5(0(4(?x)))))) -> 0(4(2(3(3(5(2(1(4(4(?x)))))))))),
     5(5(2(4(5(0(?x)))))) -> 2(1(1(4(2(4(0(4(2(0(?x)))))))))),
     0(1(5(5(5(3(5(?x))))))) -> 5(3(2(5(1(0(1(2(0(5(?x)))))))))),
     4(0(5(5(4(5(1(2(2(1(?x)))))))))) -> 4(4(5(2(4(2(2(?x))))))) ]
convertible distinct normal forms: 5(3(4(1(0(1(4(5(0(0(1(4(?x_12)))))))))))) = 3(3(0(5(0(4(3(4(4(0(?x_12))))))))))
UNC Completion (Development Closed)
problems/975.trs: Success(not UNC)
(52 msec.)