0.00/0.08 YES 0.00/0.08 (ignored inputs)COMMENT TPDB SRS_Standard/Mixed_SRS/3 0.00/0.08 Rewrite Rules: 0.00/0.08 [ a(a(?x)) -> a(b(a(?x))), 0.00/0.08 b(a(b(?x))) -> a(c(a(?x))) ] 0.00/0.08 Apply Direct Methods... 0.00/0.08 Inner CPs: 0.00/0.08 [ a(a(b(a(?x)))) = a(b(a(a(?x)))), 0.00/0.08 b(a(a(c(a(?x))))) = a(c(a(a(b(?x))))) ] 0.00/0.08 Outer CPs: 0.00/0.08 [ ] 0.00/0.08 not Overlay, check Termination... 0.00/0.08 unknown/not Terminating 0.00/0.08 unknown Knuth & Bendix 0.00/0.08 Linear 0.00/0.08 unknown Development Closed 0.00/0.08 unknown Strongly Closed 0.00/0.08 unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow 0.00/0.08 inner CP cond (upside-parallel) 0.00/0.08 innter CP Cond (outside) 0.00/0.08 unknown Upside-Parallel-Closed/Outside-Closed 0.00/0.08 (inner) Parallel CPs: (not computed) 0.00/0.08 unknown Toyama (Parallel CPs) 0.00/0.08 Simultaneous CPs: 0.00/0.08 [ a(a(b(a(?x_1)))) = a(b(a(a(?x_1)))), 0.00/0.08 a(b(a(a(b(a(?x_1)))))) = a(a(b(a(a(?x_1))))), 0.00/0.08 a(b(a(a(?x)))) = a(a(b(a(?x)))), 0.00/0.08 b(a(a(c(a(?x_1))))) = a(c(a(a(b(?x_1))))), 0.00/0.08 a(c(a(a(a(c(a(?x_1))))))) = b(a(a(c(a(a(b(?x_1))))))), 0.00/0.08 a(c(a(a(b(?x))))) = b(a(a(c(a(?x))))) ] 0.00/0.08 unknown Okui (Simultaneous CPs) 0.00/0.08 unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping 0.00/0.08 unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping 0.00/0.08 check Locally Decreasing Diagrams by Rule Labelling... 0.00/0.08 Critical Pair by Rules <0, 0> preceded by [(a,1)] 0.00/0.08 joinable by a reduction of rules <[([],0)], [([(a,1),(b,1)],0)]> 0.00/0.08 Critical Pair by Rules <1, 1> preceded by [(b,1),(a,1)] 0.00/0.08 joinable by a reduction of rules <[([(b,1)],0),([],1)], [([(a,1),(c,1)],0),([(a,1),(c,1),(a,1)],1)]> 0.00/0.08 Satisfiable by 2>1; a(0)b(0)c(0); 1>2 0.00/0.08 Diagram Decreasing 0.00/0.08 Direct Methods: CR 0.00/0.08 0.00/0.08 Combined result: CR 0.00/0.08 /export/starexec/sandbox2/benchmark/theBenchmark.trs: Success(CR) 0.00/0.08 (30 msec.) 0.00/0.08 EOF