(ignored inputs)COMMENT TPDB SRS_Standard/Mixed_SRS/3
Rewrite Rules:
   [ a(a(?x)) -> a(b(a(?x))),
     b(a(b(?x))) -> a(c(a(?x))) ]
Apply Direct Methods...
Inner CPs:
   [ a(a(b(a(?x)))) = a(b(a(a(?x)))),
     b(a(a(c(a(?x))))) = a(c(a(a(b(?x))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ a(a(b(a(?x_1)))) = a(b(a(a(?x_1)))),
     a(b(a(a(b(a(?x_1)))))) = a(a(b(a(a(?x_1))))),
     a(b(a(a(?x)))) = a(a(b(a(?x)))),
     b(a(a(c(a(?x_1))))) = a(c(a(a(b(?x_1))))),
     a(c(a(a(a(c(a(?x_1))))))) = b(a(a(c(a(a(b(?x_1))))))),
     a(c(a(a(b(?x))))) = b(a(a(c(a(?x))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <a(a(b(a(?x)))), a(b(a(a(?x))))> by Rules <0, 0> preceded by [(a,1)]
 joinable by a reduction of rules <[([],0)], [([(a,1),(b,1)],0)]>
Critical Pair <b(a(a(c(a(?x))))), a(c(a(a(b(?x)))))> by Rules <1, 1> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([(b,1)],0),([],1)], [([(a,1),(c,1)],0),([(a,1),(c,1),(a,1)],1)]>
Satisfiable by 2>1; a(0)b(0)c(0); 1>2
Diagram Decreasing
Direct Methods: CR

Combined result: CR
953.trs: Success(CR)
YES
(30 msec.)