/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: c(c(b(x1))) -> b(b(b(x1))) c(a(c(x1))) -> b(a(a(x1))) c(c(c(x1))) -> a(a(b(x1))) c(b(c(x1))) -> c(b(b(x1))) c(a(c(x1))) -> b(b(c(x1))) c(b(c(x1))) -> c(c(b(x1))) weak: a(b(b(x1))) -> b(a(c(x1))) Proof: Root-Labeling Processor: strict: c(c)(c(c)(c(b)(b(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(c)(c(c)(c(b)(b(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) c(c)(c(c)(c(b)(b(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) b(c)(c(c)(c(b)(b(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(c)(c(c)(c(b)(b(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) b(c)(c(c)(c(b)(b(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) a(c)(c(c)(c(b)(b(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(c)(c(c)(c(b)(b(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) a(c)(c(c)(c(b)(b(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(b)(b(c)(x1)))) c(c)(c(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(b)(b(b)(x1)))) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(b)(b(a)(x1)))) b(c)(c(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(b)(b(c)(x1)))) b(c)(c(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(b)(b(b)(x1)))) b(c)(c(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(b)(b(a)(x1)))) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(b)(b(c)(x1)))) a(c)(c(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(b)(b(b)(x1)))) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(c)(c(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(c)(c(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(c)(c(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(c)(c(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(c)(c(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(c)(c(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(c)(c(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(c)(c(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(c)(c(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) weak: c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) RT Transformation Processor: c(c)(c(c)(c(b)(b(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(c)(c(c)(c(b)(b(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) c(c)(c(c)(c(b)(b(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) b(c)(c(c)(c(b)(b(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(c)(c(c)(c(b)(b(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) b(c)(c(c)(c(b)(b(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) a(c)(c(c)(c(b)(b(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(c)(c(c)(c(b)(b(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) a(c)(c(c)(c(b)(b(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(b)(b(c)(x1)))) c(c)(c(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(b)(b(b)(x1)))) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(b)(b(a)(x1)))) b(c)(c(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(b)(b(c)(x1)))) b(c)(c(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(b)(b(b)(x1)))) b(c)(c(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(b)(b(a)(x1)))) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(b)(b(c)(x1)))) a(c)(c(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(b)(b(b)(x1)))) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(c)(c(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(c)(c(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(c)(c(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(c)(c(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(c)(c(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(c)(c(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(c)(c(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(c)(c(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(c)(c(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) DP Processor: DPs: c{(c),#}(c(c)(c(b)(b(c)(x1)))) -> c{(b),#}(b(b)(b(b)(b(c)(x1)))) c{(c),#}(c(c)(c(b)(b(b)(x1)))) -> c{(b),#}(b(b)(b(b)(b(b)(x1)))) c{(c),#}(c(c)(c(b)(b(a)(x1)))) -> c{(b),#}(b(b)(b(b)(b(a)(x1)))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(a)(a(a)(a(c)(x1)))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(a)(a(a)(a(b)(x1)))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(a)(a(a)(a(a)(x1)))) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> c{(a),#}(a(a)(a(b)(b(c)(x1)))) c{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) c{(c),#}(c(c)(c(c)(c(b)(x1)))) -> c{(a),#}(a(a)(a(b)(b(b)(x1)))) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> c{(a),#}(a(a)(a(b)(b(a)(x1)))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(b)(b(c)(x1)))) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(b(b)(x1)))) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(b)(b(a)(x1)))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(b)(b(c)(x1)))) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(b(b)(x1)))) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(b)(b(a)(x1)))) c{(b),#}(b(c)(c(c)(x1))) -> b{(c),#}(x1) c{(b),#}(b(c)(c(c)(x1))) -> c{(b),#}(b(b)(b(c)(x1))) c{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(b(b)(x1))) c{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) c{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(b)(b(a)(x1))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(b)(b(c)(c(c)(x1)))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(b)(b(c)(c(b)(x1)))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(b)(b(c)(c(a)(x1)))) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) c{(b),#}(b(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) c{(b),#}(b(c)(c(c)(x1))) -> c{(c),#}(c(b)(b(c)(x1))) c{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) c{(b),#}(b(c)(c(b)(x1))) -> c{(c),#}(c(b)(b(b)(x1))) c{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) c{(b),#}(b(c)(c(a)(x1))) -> c{(c),#}(c(b)(b(a)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(c(c)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(c)(c(b)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(c)(c(a)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) TRS: c(c)(c(c)(c(b)(b(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(c)(c(c)(c(b)(b(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) c(c)(c(c)(c(b)(b(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) b(c)(c(c)(c(b)(b(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(c)(c(c)(c(b)(b(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) b(c)(c(c)(c(b)(b(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) a(c)(c(c)(c(b)(b(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(c)(c(c)(c(b)(b(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) a(c)(c(c)(c(b)(b(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(b)(b(c)(x1)))) c(c)(c(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(b)(b(b)(x1)))) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(b)(b(a)(x1)))) b(c)(c(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(b)(b(c)(x1)))) b(c)(c(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(b)(b(b)(x1)))) b(c)(c(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(b)(b(a)(x1)))) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(b)(b(c)(x1)))) a(c)(c(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(b)(b(b)(x1)))) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(c)(c(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(c)(c(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(c)(c(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(c)(c(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(c)(c(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(c)(c(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(c)(c(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(c)(c(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(c)(c(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) TDG Processor: DPs: c{(c),#}(c(c)(c(b)(b(c)(x1)))) -> c{(b),#}(b(b)(b(b)(b(c)(x1)))) c{(c),#}(c(c)(c(b)(b(b)(x1)))) -> c{(b),#}(b(b)(b(b)(b(b)(x1)))) c{(c),#}(c(c)(c(b)(b(a)(x1)))) -> c{(b),#}(b(b)(b(b)(b(a)(x1)))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(a)(a(a)(a(c)(x1)))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(a)(a(a)(a(b)(x1)))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(a)(a(a)(a(a)(x1)))) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> c{(a),#}(a(a)(a(b)(b(c)(x1)))) c{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) c{(c),#}(c(c)(c(c)(c(b)(x1)))) -> c{(a),#}(a(a)(a(b)(b(b)(x1)))) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> c{(a),#}(a(a)(a(b)(b(a)(x1)))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(b)(b(c)(x1)))) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(b(b)(x1)))) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(b)(b(a)(x1)))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(b)(b(c)(x1)))) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(b(b)(x1)))) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(b)(b(a)(x1)))) c{(b),#}(b(c)(c(c)(x1))) -> b{(c),#}(x1) c{(b),#}(b(c)(c(c)(x1))) -> c{(b),#}(b(b)(b(c)(x1))) c{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(b(b)(x1))) c{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) c{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(b)(b(a)(x1))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(b)(b(c)(c(c)(x1)))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(b)(b(c)(c(b)(x1)))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(b)(b(c)(c(a)(x1)))) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) c{(b),#}(b(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) c{(b),#}(b(c)(c(c)(x1))) -> c{(c),#}(c(b)(b(c)(x1))) c{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) c{(b),#}(b(c)(c(b)(x1))) -> c{(c),#}(c(b)(b(b)(x1))) c{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) c{(b),#}(b(c)(c(a)(x1))) -> c{(c),#}(c(b)(b(a)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(c(c)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(c)(c(b)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(c)(c(a)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) TRS: c(c)(c(c)(c(b)(b(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(c)(c(c)(c(b)(b(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) c(c)(c(c)(c(b)(b(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) b(c)(c(c)(c(b)(b(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(c)(c(c)(c(b)(b(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) b(c)(c(c)(c(b)(b(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) a(c)(c(c)(c(b)(b(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(c)(c(c)(c(b)(b(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) a(c)(c(c)(c(b)(b(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(b)(b(c)(x1)))) c(c)(c(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(b)(b(b)(x1)))) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(b)(b(a)(x1)))) b(c)(c(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(b)(b(c)(x1)))) b(c)(c(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(b)(b(b)(x1)))) b(c)(c(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(b)(b(a)(x1)))) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(b)(b(c)(x1)))) a(c)(c(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(b)(b(b)(x1)))) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(c)(c(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(c)(c(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(c)(c(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(c)(c(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(c)(c(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(c)(c(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(c)(c(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(c)(c(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(c)(c(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) graph: ... EDG Processor: DPs: c{(c),#}(c(c)(c(b)(b(c)(x1)))) -> c{(b),#}(b(b)(b(b)(b(c)(x1)))) c{(c),#}(c(c)(c(b)(b(b)(x1)))) -> c{(b),#}(b(b)(b(b)(b(b)(x1)))) c{(c),#}(c(c)(c(b)(b(a)(x1)))) -> c{(b),#}(b(b)(b(b)(b(a)(x1)))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(a)(a(a)(a(c)(x1)))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(a)(a(a)(a(b)(x1)))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(a)(a(a)(a(a)(x1)))) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> c{(a),#}(a(a)(a(b)(b(c)(x1)))) c{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) c{(c),#}(c(c)(c(c)(c(b)(x1)))) -> c{(a),#}(a(a)(a(b)(b(b)(x1)))) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> c{(a),#}(a(a)(a(b)(b(a)(x1)))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(b)(b(c)(x1)))) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(b(b)(x1)))) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(b)(b(a)(x1)))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(b)(b(c)(x1)))) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(b(b)(x1)))) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(b)(b(a)(x1)))) c{(b),#}(b(c)(c(c)(x1))) -> b{(c),#}(x1) c{(b),#}(b(c)(c(c)(x1))) -> c{(b),#}(b(b)(b(c)(x1))) c{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(b(b)(x1))) c{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) c{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(b)(b(a)(x1))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(b)(b(c)(c(c)(x1)))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(b)(b(c)(c(b)(x1)))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(b)(b(c)(c(a)(x1)))) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) c{(b),#}(b(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) c{(b),#}(b(c)(c(c)(x1))) -> c{(c),#}(c(b)(b(c)(x1))) c{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) c{(b),#}(b(c)(c(b)(x1))) -> c{(c),#}(c(b)(b(b)(x1))) c{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) c{(b),#}(b(c)(c(a)(x1))) -> c{(c),#}(c(b)(b(a)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(b),#}(b(a)(a(c)(c(c)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(b(a)(a(c)(c(b)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(b),#}(b(a)(a(c)(c(a)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) TRS: c(c)(c(c)(c(b)(b(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(c)(c(c)(c(b)(b(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) c(c)(c(c)(c(b)(b(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) b(c)(c(c)(c(b)(b(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(c)(c(c)(c(b)(b(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) b(c)(c(c)(c(b)(b(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) a(c)(c(c)(c(b)(b(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(c)(c(c)(c(b)(b(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) a(c)(c(c)(c(b)(b(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(b)(b(c)(x1)))) c(c)(c(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(b)(b(b)(x1)))) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(b)(b(a)(x1)))) b(c)(c(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(b)(b(c)(x1)))) b(c)(c(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(b)(b(b)(x1)))) b(c)(c(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(b)(b(a)(x1)))) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(b)(b(c)(x1)))) a(c)(c(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(b)(b(b)(x1)))) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(c)(c(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(c)(c(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(c)(c(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(c)(c(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(c)(c(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(c)(c(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(c)(c(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(c)(c(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(c)(c(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) graph: ... SCC Processor: #sccs: 1 #rules: 89 #arcs: 1006/11449 DPs: c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(b)(b(a)(x1)))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(c(a)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(b)(b(a)(x1)))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(a)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(c)(c(a)(x1))) -> c{(c),#}(c(b)(b(a)(x1))) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> c{(a),#}(a(a)(a(b)(b(a)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(c),#}(c(a)(x1)) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(b(b)(x1)))) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(b(b)(x1)))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(c)(c(c)(x1))) -> c{(c),#}(c(b)(b(c)(x1))) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(b)(b(a)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(c),#}(c(b)(x1)) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(b)(b(c)(x1)))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(b)(b(c)(x1)))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) a{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(c),#}(c(c)(x1)) c{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(x1) c{(c),#}(c(c)(c(c)(c(b)(x1)))) -> c{(a),#}(a(a)(a(b)(b(b)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(c)(c(c)(x1))) -> c{(b),#}(b(c)(x1)) c{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) c{(b),#}(b(c)(c(c)(x1))) -> b{(c),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) c{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(b)(b(b)(x1))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> c{(a),#}(a(a)(a(b)(b(c)(x1)))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(b)(b(c)(x1))) c{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(c),#}(x1) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) c{(c),#}(c(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) TRS: c(c)(c(c)(c(b)(b(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(c)(c(c)(c(b)(b(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) c(c)(c(c)(c(b)(b(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) b(c)(c(c)(c(b)(b(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(c)(c(c)(c(b)(b(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) b(c)(c(c)(c(b)(b(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) a(c)(c(c)(c(b)(b(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(c)(c(c)(c(b)(b(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) a(c)(c(c)(c(b)(b(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(b)(b(c)(x1)))) c(c)(c(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(b)(b(b)(x1)))) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(b)(b(a)(x1)))) b(c)(c(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(b)(b(c)(x1)))) b(c)(c(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(b)(b(b)(x1)))) b(c)(c(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(b)(b(a)(x1)))) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(b)(b(c)(x1)))) a(c)(c(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(b)(b(b)(x1)))) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(c)(c(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(c)(c(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(c)(c(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(c)(c(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(c)(c(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(c)(c(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(c)(c(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(c)(c(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(c)(c(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) Subterm Criterion Processor: simple projection: pi(c(c)) = [0,0] pi(c(b)) = [0,0] pi(b(c)) = [0,0] pi(b(b)) = [0,0] pi(b(a)) = [0,0] pi(a(c)) = [0,0] pi(a(b)) = [0,0] pi(c(a)) = [0,0] pi(a(a)) = [0,0] pi(c{(c),#}) = [0,0,0] pi(c{(b),#}) = [0,0,0] pi(b{(c),#}) = 0 pi(a{(c),#}) = 0 pi(a{(a),#}) = 0 pi(b{(a),#}) = 0 pi(c{(a),#}) = [0,0] problem: DPs: b{(c),#}(c(c)(c(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(b)(b(a)(x1)))) a{(c),#}(c(c)(c(c)(c(a)(x1)))) -> a{(a),#}(a(a)(a(b)(b(a)(x1)))) c{(b),#}(b(c)(c(a)(x1))) -> c{(c),#}(c(b)(b(a)(x1))) b{(c),#}(c(c)(c(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(b(b)(x1)))) a{(c),#}(c(c)(c(c)(c(b)(x1)))) -> a{(a),#}(a(a)(a(b)(b(b)(x1)))) c{(b),#}(b(c)(c(c)(x1))) -> c{(c),#}(c(b)(b(c)(x1))) b{(c),#}(c(c)(c(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(b)(b(c)(x1)))) a{(c),#}(c(c)(c(c)(c(c)(x1)))) -> a{(a),#}(a(a)(a(b)(b(c)(x1)))) TRS: c(c)(c(c)(c(b)(b(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(c)(c(c)(c(b)(b(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) c(c)(c(c)(c(b)(b(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) b(c)(c(c)(c(b)(b(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(c)(c(c)(c(b)(b(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) b(c)(c(c)(c(b)(b(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) a(c)(c(c)(c(b)(b(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(c)(c(c)(c(b)(b(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) a(c)(c(c)(c(b)(b(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(a)(a(b)(b(c)(x1)))) c(c)(c(c)(c(c)(c(b)(x1)))) -> c(a)(a(a)(a(b)(b(b)(x1)))) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(a(b)(b(a)(x1)))) b(c)(c(c)(c(c)(c(c)(x1)))) -> b(a)(a(a)(a(b)(b(c)(x1)))) b(c)(c(c)(c(c)(c(b)(x1)))) -> b(a)(a(a)(a(b)(b(b)(x1)))) b(c)(c(c)(c(c)(c(a)(x1)))) -> b(a)(a(a)(a(b)(b(a)(x1)))) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(a)(a(b)(b(c)(x1)))) a(c)(c(c)(c(c)(c(b)(x1)))) -> a(a)(a(a)(a(b)(b(b)(x1)))) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(a(b)(b(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(b)(b(b)(b(a)(x1))) c(c)(c(a)(a(c)(c(c)(x1)))) -> c(b)(b(b)(b(c)(c(c)(x1)))) c(c)(c(a)(a(c)(c(b)(x1)))) -> c(b)(b(b)(b(c)(c(b)(x1)))) c(c)(c(a)(a(c)(c(a)(x1)))) -> c(b)(b(b)(b(c)(c(a)(x1)))) b(c)(c(a)(a(c)(c(c)(x1)))) -> b(b)(b(b)(b(c)(c(c)(x1)))) b(c)(c(a)(a(c)(c(b)(x1)))) -> b(b)(b(b)(b(c)(c(b)(x1)))) b(c)(c(a)(a(c)(c(a)(x1)))) -> b(b)(b(b)(b(c)(c(a)(x1)))) a(c)(c(a)(a(c)(c(c)(x1)))) -> a(b)(b(b)(b(c)(c(c)(x1)))) a(c)(c(a)(a(c)(c(b)(x1)))) -> a(b)(b(b)(b(c)(c(b)(x1)))) a(c)(c(a)(a(c)(c(a)(x1)))) -> a(b)(b(b)(b(c)(c(a)(x1)))) c(b)(b(c)(c(c)(x1))) -> c(c)(c(b)(b(c)(x1))) c(b)(b(c)(c(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(c)(c(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(a)(a(c)(c(c)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(a)(a(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(a)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(a)(a(c)(c(c)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(a)(a(c)(c(b)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(a)(a(c)(c(a)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(a)(a(c)(c(c)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(a)(a(c)(c(b)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(a)(a(c)(c(a)(x1)))) SCC Processor: #sccs: 0 #rules: 0 #arcs: 931/64