(ignored inputs)COMMENT TPDB SRS_Standard/ICFP_2010/26123 Rewrite Rules: [ 0(1(2(1(?x)))) -> 1(2(1(1(0(1(2(0(1(2(?x)))))))))), 0(1(2(1(?x)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))), 0(1(2(1(?x)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))), 0(1(2(1(?x)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))), 0(1(2(1(?x)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))), 0(1(2(1(?x)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))) ] Apply Direct Methods... Inner CPs: [ ] Outer CPs: [ 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(?x_1))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x_1)))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(?x_1))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_1))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(?x_1))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_1)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(?x_1))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_1))))))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x_2)))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_2))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x_2)))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_2)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x_2)))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_2))))))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_3))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_3)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_3))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_3))))))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_4)))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x_4))))))))))))))))))))))))) ] Overlay, check Innermost Termination... unknown Innermost Terminating unknown Knuth & Bendix Linear unknown Development Closed unknown Strongly Closed unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow unknown Upside-Parallel-Closed/Outside-Closed (inner) Parallel CPs: (not computed) unknown Toyama (Parallel CPs) Simultaneous CPs: [ 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))) = 1(2(1(1(0(1(2(0(1(2(?x)))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(?x)))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(?x)))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(?x)))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(?x)))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x)))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(?x))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x))))))))))))))))))))))))), 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?x)))))))))))))))))))))) = 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(?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 <1(2(1(1(0(1(2(0(1(2(0(1(2(?x_1))))))))))))), 1(2(1(1(0(1(2(0(1(2(?x_1))))))))))> by Rules <1, 0> preceded by [] unknown Diagram Decreasing check Non-Confluence... obtain 12 rules by 3 steps unfolding obtain 100 candidates for checking non-joinability check by TCAP-Approximation (success) Witness for Non-Confluence: <1(2(1(1(0(1(2(0(1(2(0(1(2(c_1))))))))))))) <- 0(1(2(1(c_1)))) -> 1(2(1(1(0(1(2(0(1(2(c_1))))))))))> Direct Methods: not CR Combined result: not CR 952.trs: Success(not CR) NO (107296 msec.)