YES
(ignored inputs)COMMENT TPDB SRS_Standard/Waldmann_07_size12/size-12-alpha-3-num-284
input TRS:
   [ a(?x) -> ?x,
     a(b(?x)) -> c(b(b(a(a(?x))))),
     b(?x) -> c(?x),
     c(c(?x)) -> ?x ]
Try persistent and layer-preserving decomposition...
Sort Assignment:
 a : 11=>11
 b : 11=>11
 c : 11=>11
maximal types: {11}
...decomposition failed.
TRS:
   [ a(?x) -> ?x,
     a(b(?x)) -> c(b(b(a(a(?x))))),
     b(?x) -> c(?x),
     c(c(?x)) -> ?x ]
unknown Non-Omega-Overlapping
unknown Right-Reducible
Check distinct normal forms in critical pair closure...failed
New rules by rule reversing:
   [ a(?x) -> ?x,
     c(b(b(a(a(?x))))) -> a(b(?x)),
     b(?x) -> c(?x),
     c(c(?x)) -> ?x ]
unknown UNC Completion (Strongly Closed)
unknown UNC Completion (Development Closed)
Obtained TRSs:
   [ a(?x) -> ?x,
     c(b(b(a(a(?x))))) -> a(b(?x)),
     b(?x) -> c(?x),
     c(c(?x)) -> ?x,
     c(b(b(a(?x_1)))) -> c(?x_1),
     c(b(c(a(a(?x_1))))) -> c(?x_1),
     c(b(b(?x))) -> c(?x),
     c(b(c(a(?x_1)))) -> c(?x_1),
     c(b(c(?x))) -> c(?x) ]
unknown UNC Completion (General)
Check distinct normal forms in critical pair closure...failed
Try to prove CR of the result of rule reversing transformation...
Rewrite Rules:
   [ a(?x) -> ?x,
     c(b(b(a(a(?x))))) -> a(b(?x)),
     b(?x) -> c(?x),
     c(c(?x)) -> ?x ]
Apply Direct Methods...
Inner CPs:
   [ c(b(b(a(?x_1)))) = a(b(?x_1)),
     c(b(b(a(?x)))) = a(b(?x)),
     c(c(b(a(a(?x_1))))) = a(b(?x_1)),
     c(b(c(a(a(?x_1))))) = a(b(?x_1)),
     c(a(b(?x_1))) = b(b(a(a(?x_1)))),
     c(?x) = c(?x) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR

Combined result: CR
...CR proof of the result of rule reversing transformation is successful.
problems/960.trs: Success(UNC)
(24 msec.)