/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: a(b(b(x1))) -> c(b(a(x1))) b(a(a(x1))) -> a(c(c(x1))) c(a(c(x1))) -> c(c(b(x1))) b(c(a(x1))) -> b(b(a(x1))) weak: b(c(c(x1))) -> a(a(a(x1))) a(b(c(x1))) -> a(a(b(x1))) b(c(b(x1))) -> c(a(b(x1))) Proof: Root-Labeling Processor: strict: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) weak: a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) RT Transformation Processor: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) DP Processor: DPs: a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(c),#}(c(b)(b(a)(a(a)(x1)))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(c),#}(c(b)(b(a)(a(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(c),#}(c(b)(b(a)(a(c)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) a{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) a{(b),#}(b(a)(a(a)(a(a)(x1)))) -> a{(a),#}(a(c)(c(c)(c(a)(x1)))) a{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) a{(b),#}(b(a)(a(a)(a(b)(x1)))) -> a{(a),#}(a(c)(c(c)(c(b)(x1)))) a{(b),#}(b(a)(a(a)(a(c)(x1)))) -> a{(a),#}(a(c)(c(c)(c(c)(x1)))) b{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) b{(b),#}(b(a)(a(a)(a(a)(x1)))) -> b{(a),#}(a(c)(c(c)(c(a)(x1)))) b{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) b{(b),#}(b(a)(a(a)(a(b)(x1)))) -> b{(a),#}(a(c)(c(c)(c(b)(x1)))) b{(b),#}(b(a)(a(a)(a(c)(x1)))) -> b{(a),#}(a(c)(c(c)(c(c)(x1)))) c{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(c)(c(a)(x1)))) c{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(c)(c(b)(x1)))) c{(b),#}(b(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(c)(c(c)(x1)))) c{(a),#}(a(c)(c(a)(x1))) -> b{(a),#}(x1) c{(a),#}(a(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) c{(a),#}(a(c)(c(b)(x1))) -> b{(b),#}(x1) c{(a),#}(a(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) c{(a),#}(a(c)(c(c)(x1))) -> b{(c),#}(x1) c{(a),#}(a(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) b{(c),#}(c(a)(a(a)(x1))) -> b{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(x1))) -> b{(b),#}(b(a)(a(a)(x1))) b{(c),#}(c(a)(a(b)(x1))) -> b{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(b)(x1))) -> b{(b),#}(b(a)(a(b)(x1))) b{(c),#}(c(a)(a(c)(x1))) -> b{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(c)(x1))) -> b{(b),#}(b(a)(a(c)(x1))) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(a(a)(x1)))) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(a)(a(b)(x1)))) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(a)(a(c)(x1)))) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> c{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> b{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(b)(b(b)(x1))) a{(b),#}(b(c)(c(c)(x1))) -> b{(c),#}(x1) a{(b),#}(b(c)(c(c)(x1))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(b)(b(c)(x1))) a{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) a{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> b{(c),#}(c(a)(a(b)(b(a)(x1)))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> b{(c),#}(c(a)(a(b)(b(b)(x1)))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> b{(c),#}(c(a)(a(b)(b(c)(x1)))) c{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) c{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) c{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) c{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) c{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) c{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) TRS: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) TDG Processor: DPs: a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(c),#}(c(b)(b(a)(a(a)(x1)))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(c),#}(c(b)(b(a)(a(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(c),#}(c(b)(b(a)(a(c)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) a{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) a{(b),#}(b(a)(a(a)(a(a)(x1)))) -> a{(a),#}(a(c)(c(c)(c(a)(x1)))) a{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) a{(b),#}(b(a)(a(a)(a(b)(x1)))) -> a{(a),#}(a(c)(c(c)(c(b)(x1)))) a{(b),#}(b(a)(a(a)(a(c)(x1)))) -> a{(a),#}(a(c)(c(c)(c(c)(x1)))) b{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) b{(b),#}(b(a)(a(a)(a(a)(x1)))) -> b{(a),#}(a(c)(c(c)(c(a)(x1)))) b{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) b{(b),#}(b(a)(a(a)(a(b)(x1)))) -> b{(a),#}(a(c)(c(c)(c(b)(x1)))) b{(b),#}(b(a)(a(a)(a(c)(x1)))) -> b{(a),#}(a(c)(c(c)(c(c)(x1)))) c{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(c)(c(a)(x1)))) c{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(c)(c(b)(x1)))) c{(b),#}(b(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(c)(c(c)(x1)))) c{(a),#}(a(c)(c(a)(x1))) -> b{(a),#}(x1) c{(a),#}(a(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) c{(a),#}(a(c)(c(b)(x1))) -> b{(b),#}(x1) c{(a),#}(a(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) c{(a),#}(a(c)(c(c)(x1))) -> b{(c),#}(x1) c{(a),#}(a(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) b{(c),#}(c(a)(a(a)(x1))) -> b{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(x1))) -> b{(b),#}(b(a)(a(a)(x1))) b{(c),#}(c(a)(a(b)(x1))) -> b{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(b)(x1))) -> b{(b),#}(b(a)(a(b)(x1))) b{(c),#}(c(a)(a(c)(x1))) -> b{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(c)(x1))) -> b{(b),#}(b(a)(a(c)(x1))) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(a(a)(x1)))) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(a)(a(b)(x1)))) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(a)(a(c)(x1)))) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> c{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> b{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(b)(b(b)(x1))) a{(b),#}(b(c)(c(c)(x1))) -> b{(c),#}(x1) a{(b),#}(b(c)(c(c)(x1))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(b)(b(c)(x1))) a{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) a{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> b{(c),#}(c(a)(a(b)(b(a)(x1)))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> b{(c),#}(c(a)(a(b)(b(b)(x1)))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> b{(c),#}(c(a)(a(b)(b(c)(x1)))) c{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) c{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) c{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) c{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) c{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) c{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) TRS: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) graph: ... EDG Processor: DPs: a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(c),#}(c(b)(b(a)(a(a)(x1)))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(c),#}(c(b)(b(a)(a(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(c),#}(c(b)(b(a)(a(c)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(x1))) a{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) a{(b),#}(b(a)(a(a)(a(a)(x1)))) -> a{(a),#}(a(c)(c(c)(c(a)(x1)))) a{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) a{(b),#}(b(a)(a(a)(a(b)(x1)))) -> a{(a),#}(a(c)(c(c)(c(b)(x1)))) a{(b),#}(b(a)(a(a)(a(c)(x1)))) -> a{(a),#}(a(c)(c(c)(c(c)(x1)))) b{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) b{(b),#}(b(a)(a(a)(a(a)(x1)))) -> b{(a),#}(a(c)(c(c)(c(a)(x1)))) b{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) b{(b),#}(b(a)(a(a)(a(b)(x1)))) -> b{(a),#}(a(c)(c(c)(c(b)(x1)))) b{(b),#}(b(a)(a(a)(a(c)(x1)))) -> b{(a),#}(a(c)(c(c)(c(c)(x1)))) c{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(c)(c(a)(x1)))) c{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(c)(c(b)(x1)))) c{(b),#}(b(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(c)(c(c)(x1)))) c{(a),#}(a(c)(c(a)(x1))) -> b{(a),#}(x1) c{(a),#}(a(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) c{(a),#}(a(c)(c(b)(x1))) -> b{(b),#}(x1) c{(a),#}(a(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) c{(a),#}(a(c)(c(c)(x1))) -> b{(c),#}(x1) c{(a),#}(a(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) b{(c),#}(c(a)(a(a)(x1))) -> b{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(x1))) -> b{(b),#}(b(a)(a(a)(x1))) b{(c),#}(c(a)(a(b)(x1))) -> b{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(b)(x1))) -> b{(b),#}(b(a)(a(b)(x1))) b{(c),#}(c(a)(a(c)(x1))) -> b{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(c)(x1))) -> b{(b),#}(b(a)(a(c)(x1))) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(a(a)(x1)))) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(a)(a(b)(x1)))) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) b{(b),#}(b(c)(c(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(a)(a(c)(x1)))) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) c{(b),#}(b(c)(c(c)(c(c)(x1)))) -> c{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> b{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(b)(b(b)(x1))) a{(b),#}(b(c)(c(c)(x1))) -> b{(c),#}(x1) a{(b),#}(b(c)(c(c)(x1))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(b)(b(c)(x1))) a{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) a{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> b{(c),#}(c(a)(a(b)(b(a)(x1)))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> b{(c),#}(c(a)(a(b)(b(b)(x1)))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> b{(c),#}(c(a)(a(b)(b(c)(x1)))) c{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) c{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) c{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) c{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) c{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) c{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) TRS: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) graph: ... SCC Processor: #sccs: 1 #rules: 76 #arcs: 1308/13689 DPs: b{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) c{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) c{(a),#}(a(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) c{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) c{(a),#}(a(c)(c(c)(x1))) -> b{(c),#}(x1) b{(c),#}(c(a)(a(b)(x1))) -> b{(b),#}(b(a)(a(b)(x1))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> b{(c),#}(c(a)(a(b)(b(c)(x1)))) b{(c),#}(c(a)(a(b)(x1))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(c),#}(c(b)(b(a)(a(b)(x1)))) b{(c),#}(c(a)(a(a)(x1))) -> b{(b),#}(b(a)(a(a)(x1))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> c{(a),#}(a(b)(b(c)(x1))) c{(a),#}(a(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) c{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) c{(a),#}(a(c)(c(b)(x1))) -> b{(b),#}(x1) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(b)(b(c)(x1)))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) c{(a),#}(a(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) c{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) c{(a),#}(a(c)(c(a)(x1))) -> b{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) c{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) c{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(b)(b(c)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(c)(x1))) -> a{(b),#}(b(c)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> b{(c),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(b)(b(b)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> b{(b),#}(x1) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> b{(c),#}(c(a)(a(b)(b(b)(x1)))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> c{(a),#}(a(b)(b(b)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(c),#}(c(b)(b(a)(a(a)(x1)))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) c{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(b)(b(a)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(b),#}(b(c)(c(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(b),#}(b(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(c)(c(c)(x1)))) c{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(c)(c(b)(x1)))) c{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(c)(c(a)(x1)))) c{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> a{(b),#}(b(b)(x1)) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> b{(c),#}(c(a)(a(b)(b(a)(x1)))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> c{(a),#}(a(b)(b(a)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> a{(b),#}(b(a)(x1)) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(b),#}(b(c)(c(c)(c(b)(x1)))) -> a{(b),#}(x1) b{(b),#}(b(a)(a(a)(a(b)(x1)))) -> c{(b),#}(x1) b{(b),#}(b(a)(a(a)(a(a)(x1)))) -> c{(a),#}(x1) TRS: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) Subterm Criterion Processor: simple projection: pi(a(a)) = [0,0] pi(a(b)) = [0,0] pi(b(b)) = [0,0] pi(b(a)) = [0,0] pi(a(c)) = [0,0] pi(c(b)) = [0,0] pi(b(c)) = [0,0] pi(c(a)) = [0,0] pi(c(c)) = [0,0] pi(a{(a),#}) = 0 pi(b{(a),#}) = 0 pi(c{(b),#}) = [0,0] pi(a{(b),#}) = 0 pi(b{(c),#}) = 0 pi(c{(a),#}) = 0 pi(b{(b),#}) = 0 problem: DPs: a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) c{(a),#}(a(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) b{(c),#}(c(a)(a(b)(x1))) -> b{(b),#}(b(a)(a(b)(x1))) b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> b{(c),#}(c(a)(a(b)(b(c)(x1)))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(c),#}(c(b)(b(a)(a(b)(x1)))) b{(c),#}(c(a)(a(a)(x1))) -> b{(b),#}(b(a)(a(a)(x1))) c{(a),#}(a(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) c{(a),#}(a(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(b)(x1))) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(b)(b(c)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(b)(b(b)(x1))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> b{(c),#}(c(a)(a(b)(b(b)(x1)))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(c),#}(c(b)(b(a)(a(a)(x1)))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(b)(b(a)(x1))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(a)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> b{(c),#}(c(a)(a(b)(b(a)(x1)))) TRS: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) SCC Processor: #sccs: 1 #rules: 5 #arcs: 877/361 DPs: b{(b),#}(b(c)(c(b)(b(c)(x1)))) -> b{(c),#}(c(a)(a(b)(b(c)(x1)))) b{(c),#}(c(a)(a(b)(x1))) -> b{(b),#}(b(a)(a(b)(x1))) b{(b),#}(b(c)(c(b)(b(b)(x1)))) -> b{(c),#}(c(a)(a(b)(b(b)(x1)))) b{(c),#}(c(a)(a(a)(x1))) -> b{(b),#}(b(a)(a(a)(x1))) b{(b),#}(b(c)(c(b)(b(a)(x1)))) -> b{(c),#}(c(a)(a(b)(b(a)(x1)))) TRS: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) Semantic Labeling Processor: dimension: 1 usable rules: interpretation: [a(b)](x0) = x0, [c(b)](x0) = x0, [a(a)](x0) = 0, [b(b)](x0) = x0 + 1, [c(a)](x0) = x0, [a(c)](x0) = 0, [c(c)](x0) = 0, [b(c)](x0) = x0 + 1, [b(a)](x0) = x0 labeled: b{(b),#} b{(c),#} usable (for model): b{(b),#} b(c) c(b) b{(c),#} c(a) a(b) b(a) b(b) a(a) a(c) c(c) argument filtering: pi(a(a)) = [] pi(a(b)) = 0 pi(b(b)) = 0 pi(b(a)) = 0 pi(a(c)) = [] pi(c(b)) = 0 pi(b(c)) = 0 pi(c(a)) = [] pi(c(c)) = [] pi(b{(c),#}) = [] pi(b{(b),#}) = [] precedence: b{(c),#} > b{(b),#} ~ c(c) ~ c(a) ~ b(c) ~ c(b) ~ a(c) ~ b(a) ~ b(b) ~ a(b) ~ a(a) problem: DPs: TRS: a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1)))) a(b)(b(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(c)(c(a)(x1)))) a(b)(b(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(c)(c(b)(x1)))) a(b)(b(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(c)(c(c)(x1)))) b(b)(b(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(c)(c(a)(x1)))) b(b)(b(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(c)(c(b)(x1)))) b(b)(b(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(c)(c(c)(x1)))) c(b)(b(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(c)(c(a)(x1)))) c(b)(b(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(c)(c(b)(x1)))) c(b)(b(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(c)(c(c)(x1)))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) b(c)(c(a)(a(a)(x1))) -> b(b)(b(a)(a(a)(x1))) b(c)(c(a)(a(b)(x1))) -> b(b)(b(a)(a(b)(x1))) b(c)(c(a)(a(c)(x1))) -> b(b)(b(a)(a(c)(x1))) a(b)(b(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(b)(x1))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(c)(x1))) a(b)(b(c)(c(b)(b(a)(x1)))) -> a(c)(c(a)(a(b)(b(a)(x1)))) a(b)(b(c)(c(b)(b(b)(x1)))) -> a(c)(c(a)(a(b)(b(b)(x1)))) a(b)(b(c)(c(b)(b(c)(x1)))) -> a(c)(c(a)(a(b)(b(c)(x1)))) b(b)(b(c)(c(b)(b(a)(x1)))) -> b(c)(c(a)(a(b)(b(a)(x1)))) b(b)(b(c)(c(b)(b(b)(x1)))) -> b(c)(c(a)(a(b)(b(b)(x1)))) b(b)(b(c)(c(b)(b(c)(x1)))) -> b(c)(c(a)(a(b)(b(c)(x1)))) c(b)(b(c)(c(b)(b(a)(x1)))) -> c(c)(c(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(b)(b(b)(x1)))) -> c(c)(c(a)(a(b)(b(b)(x1)))) c(b)(b(c)(c(b)(b(c)(x1)))) -> c(c)(c(a)(a(b)(b(c)(x1)))) Qed