/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: c(a(a(x1))) -> a(c(a(x1))) weak: a(b(a(x1))) -> b(c(c(x1))) a(b(b(x1))) -> b(b(a(x1))) a(b(c(x1))) -> a(a(a(x1))) a(c(a(x1))) -> b(b(b(x1))) a(b(b(x1))) -> c(c(b(x1))) Proof: Root-Labeling Processor: strict: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) weak: c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) RT Transformation Processor: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) DP Processor: DPs: c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(a)(a(c)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(a)(a(b)(x1)))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(a),#}(a(c)(c(a)(a(c)(x1)))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(a),#}(a(c)(c(a)(a(a)(x1)))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(a),#}(a(c)(c(a)(a(b)(x1)))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(a),#}(a(c)(c(a)(a(c)(x1)))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(a),#}(a(c)(c(a)(a(a)(x1)))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(a),#}(a(c)(c(a)(a(b)(x1)))) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) c{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) c{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(c)(c(c)(x1)))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(c)(c(a)(x1)))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(c)(c(b)(x1)))) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) b{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) b{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> 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(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(b),#}(b(b)(b(a)(a(c)(x1)))) 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)))) -> a{(b),#}(b(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)))) -> a{(b),#}(b(b)(b(a)(a(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> 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(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(c),#}(x1) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(a)(a(b)(x1))) c{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) c{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) a{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) a{(a),#}(a(c)(c(a)(a(c)(x1)))) -> a{(b),#}(b(b)(b(b)(b(c)(x1)))) a{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) a{(a),#}(a(c)(c(a)(a(a)(x1)))) -> a{(b),#}(b(b)(b(b)(b(a)(x1)))) a{(a),#}(a(c)(c(a)(a(b)(x1)))) -> a{(b),#}(b(b)(b(b)(b(b)(x1)))) b{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) b{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(c)(c(b)(b(c)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(c)(c(b)(b(a)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(c)(c(b)(b(b)(x1)))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(c(b)(b(c)(x1)))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(c)(c(b)(b(a)(x1)))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(c)(c(b)(b(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(c),#}(c(c)(c(b)(b(c)(x1)))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(c),#}(c(c)(c(b)(b(a)(x1)))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(c),#}(c(c)(c(b)(b(b)(x1)))) TRS: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) TDG Processor: DPs: c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(a)(a(c)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(a)(a(b)(x1)))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(a),#}(a(c)(c(a)(a(c)(x1)))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(a),#}(a(c)(c(a)(a(a)(x1)))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(a),#}(a(c)(c(a)(a(b)(x1)))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(a),#}(a(c)(c(a)(a(c)(x1)))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(a),#}(a(c)(c(a)(a(a)(x1)))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(a),#}(a(c)(c(a)(a(b)(x1)))) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) c{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) c{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(c)(c(c)(x1)))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(c)(c(a)(x1)))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(c)(c(b)(x1)))) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) b{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) b{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> 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(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(b),#}(b(b)(b(a)(a(c)(x1)))) 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)))) -> a{(b),#}(b(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)))) -> a{(b),#}(b(b)(b(a)(a(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> 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(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(c),#}(x1) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(a)(a(b)(x1))) c{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) c{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) a{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) a{(a),#}(a(c)(c(a)(a(c)(x1)))) -> a{(b),#}(b(b)(b(b)(b(c)(x1)))) a{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) a{(a),#}(a(c)(c(a)(a(a)(x1)))) -> a{(b),#}(b(b)(b(b)(b(a)(x1)))) a{(a),#}(a(c)(c(a)(a(b)(x1)))) -> a{(b),#}(b(b)(b(b)(b(b)(x1)))) b{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) b{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(c)(c(b)(b(c)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(c)(c(b)(b(a)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(c)(c(b)(b(b)(x1)))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(c(b)(b(c)(x1)))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(c)(c(b)(b(a)(x1)))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(c)(c(b)(b(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(c),#}(c(c)(c(b)(b(c)(x1)))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(c),#}(c(c)(c(b)(b(a)(x1)))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(c),#}(c(c)(c(b)(b(b)(x1)))) TRS: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) graph: ... EDG Processor: DPs: c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(a)(a(c)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(a)(a(b)(x1)))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(a),#}(a(c)(c(a)(a(c)(x1)))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(a),#}(a(c)(c(a)(a(a)(x1)))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(a),#}(a(c)(c(a)(a(b)(x1)))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(a),#}(a(c)(c(a)(a(c)(x1)))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(a),#}(a(c)(c(a)(a(a)(x1)))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(a),#}(a(c)(c(a)(a(b)(x1)))) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) c{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) c{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(c)(c(c)(x1)))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(c)(c(a)(x1)))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(c)(c(b)(x1)))) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) b{(a),#}(a(b)(b(a)(a(b)(x1)))) -> c{(c),#}(c(b)(x1)) b{(a),#}(a(b)(b(a)(a(b)(x1)))) -> b{(c),#}(c(c)(c(b)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> 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(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(b),#}(b(b)(b(a)(a(c)(x1)))) 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)))) -> a{(b),#}(b(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)))) -> a{(b),#}(b(b)(b(a)(a(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> 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(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(c),#}(x1) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(a)(a(b)(x1))) c{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) c{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) a{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) a{(a),#}(a(c)(c(a)(a(c)(x1)))) -> a{(b),#}(b(b)(b(b)(b(c)(x1)))) a{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) a{(a),#}(a(c)(c(a)(a(a)(x1)))) -> a{(b),#}(b(b)(b(b)(b(a)(x1)))) a{(a),#}(a(c)(c(a)(a(b)(x1)))) -> a{(b),#}(b(b)(b(b)(b(b)(x1)))) b{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) b{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(c)(c(b)(b(c)(x1)))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(c)(c(b)(b(a)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(c)(c(b)(b(b)(x1)))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(c(b)(b(c)(x1)))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(c),#}(c(c)(c(b)(b(a)(x1)))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(c)(c(b)(b(b)(x1)))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(c(b)(b(c)(x1))) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(c),#}(c(c)(c(b)(b(c)(x1)))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(c),#}(c(b)(b(a)(x1))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(c),#}(c(c)(c(b)(b(a)(x1)))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(c),#}(c(b)(b(b)(x1))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(c),#}(c(c)(c(b)(b(b)(x1)))) TRS: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) graph: ... SCC Processor: #sccs: 1 #rules: 81 #arcs: 1399/12321 DPs: a{(b),#}(b(c)(c(b)(x1))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(a)(a(b)(x1))) a{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) b{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) b{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(a),#}(a(c)(c(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(b)(x1))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(a),#}(a(c)(c(a)(a(b)(x1)))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(a(a)(x1))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(a),#}(a(c)(c(a)(a(a)(x1)))) -> b{(a),#}(x1) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(a),#}(a(c)(c(a)(a(c)(x1)))) -> b{(c),#}(x1) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(a),#}(a(c)(c(a)(a(a)(x1)))) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(a)(a(b)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(b)(x1)) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(a),#}(a(c)(c(a)(a(a)(x1)))) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(a)(x1)) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(a),#}(a(c)(c(a)(a(c)(x1)))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(c)(c(b)(x1)))) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(a)(a(c)(x1))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(c)(c(a)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(x1) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(x1)) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(a)(a(a)(x1)))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(x1) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(a),#}(a(c)(c(a)(a(c)(x1)))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(c),#}(c(a)(a(a)(x1))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(a)(a(c)(x1)))) c{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(c),#}(c(a)(a(c)(x1))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> c{(a),#}(x1) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(c)(c(c)(x1)))) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(c)(x1)) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(c(c)(x1)) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> c{(c),#}(x1) a{(b),#}(b(c)(c(c)(x1))) -> a{(c),#}(x1) TRS: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) Subterm Criterion Processor: simple projection: pi(c(c)) = [0,0] pi(c(a)) = [0,0] pi(a(a)) = [0,0] pi(a(c)) = [0,0] pi(a(b)) = [0,0] pi(b(c)) = [0,0] pi(b(a)) = [0,0] pi(c(b)) = [0,0] pi(b(b)) = [0,0] pi(c{(c),#}) = [0,0] pi(c{(a),#}) = [0,0] pi(a{(c),#}) = [0,0,0] pi(a{(a),#}) = [0,0] pi(b{(c),#}) = [0,0] pi(b{(a),#}) = 0 pi(a{(b),#}) = [0,0] problem: DPs: a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(a)(a(b)(x1))) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(a(a)(x1))) b{(a),#}(a(b)(b(a)(a(a)(x1)))) -> b{(c),#}(c(c)(c(a)(x1))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(c)(c(a)(a(b)(x1)))) b{(a),#}(a(b)(b(a)(a(c)(x1)))) -> b{(c),#}(c(c)(c(c)(x1))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(c)(c(b)(x1)))) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(a)(a(c)(x1))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(c)(c(a)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(c(a)(a(c)(x1)))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(c)(c(c)(x1)))) TRS: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) SCC Processor: #sccs: 1 #rules: 6 #arcs: 977/121 DPs: a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(a)(a(b)(x1))) a{(a),#}(a(b)(b(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(c)(c(b)(x1)))) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(a)(a(c)(x1))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(c)(c(a)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(a(a)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(c)(c(c)(x1)))) TRS: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {5} transitions: f190() -> 6* a{(a),#,0}(35) -> 36* a{(b),#,0}(9) -> 5* b{(c),0}(8) -> 9* a{(c),0}(33) -> 34* c{(c),0}(7) -> 8* c{(b),0}(6) -> 7* a{(a),0}(34) -> 35* 7 -> 33* 36 -> 5* problem: DPs: a{(b),#}(b(c)(c(b)(x1))) -> a{(a),#}(a(a)(a(b)(x1))) a{(b),#}(b(c)(c(c)(x1))) -> a{(a),#}(a(a)(a(c)(x1))) a{(a),#}(a(b)(b(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(c)(c(a)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> a{(a),#}(a(a)(a(a)(x1))) a{(a),#}(a(b)(b(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(c)(c(c)(x1)))) TRS: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) Semantic Labeling Processor: dimension: 1 usable rules: interpretation: [c(a)](x0) = x0 + 1, [b(c)](x0) = x0, [c(c)](x0) = 1, [a(a)](x0) = x0, [c(b)](x0) = x0 + 1, [a(b)](x0) = x0, [b(b)](x0) = 0, [b(a)](x0) = 1, [a(c)](x0) = 0 labeled: a{(b),#} a{(a),#} usable (for model): a{(b),#} b(c) c(b) a{(a),#} a(a) a(b) c(c) a(c) b(a) c(a) b(b) argument filtering: pi(c(c)) = 0 pi(c(a)) = [] pi(a(a)) = 0 pi(a(c)) = [] pi(a(b)) = [] pi(b(c)) = [] pi(b(a)) = 0 pi(c(b)) = [] pi(b(b)) = [] pi(a{(a),#}) = [] pi(a{(b),#}) = [] precedence: a{(a),#} > a{(b),#} ~ b(b) ~ c(b) ~ b(a) ~ b(c) ~ a(b) ~ a(c) ~ a(a) ~ c(a) ~ c(c) problem: DPs: TRS: c(c)(c(a)(a(a)(a(c)(x1)))) -> c(a)(a(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(a)(a(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(a)(a(c)(c(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(a)(a(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(a)(a(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(a)(a(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(a)(a(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(a)(a(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(a)(a(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(b)(b(c)(c(c)(c(c)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(b)(b(c)(c(c)(c(a)(x1)))) c(a)(a(b)(b(a)(a(b)(x1)))) -> c(b)(b(c)(c(c)(c(b)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(b)(b(c)(c(c)(c(c)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(c)(c(c)(c(a)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(c)(c(c)(c(b)(x1)))) b(a)(a(b)(b(a)(a(c)(x1)))) -> b(b)(b(c)(c(c)(c(c)(x1)))) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(c)(c(c)(c(a)(x1)))) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(c)(c(c)(c(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(b)(b(b)(b(a)(a(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(b)(b(b)(b(a)(a(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(b)(b(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(b)(b(b)(b(a)(a(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(b)(b(b)(b(a)(a(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(b)(b(b)(b(a)(a(b)(x1)))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(a)(a(c)(x1))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(a)(a(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(a)(a(b)(x1))) c(a)(a(c)(c(a)(a(c)(x1)))) -> c(b)(b(b)(b(b)(b(c)(x1)))) c(a)(a(c)(c(a)(a(a)(x1)))) -> c(b)(b(b)(b(b)(b(a)(x1)))) c(a)(a(c)(c(a)(a(b)(x1)))) -> c(b)(b(b)(b(b)(b(b)(x1)))) a(a)(a(c)(c(a)(a(c)(x1)))) -> a(b)(b(b)(b(b)(b(c)(x1)))) a(a)(a(c)(c(a)(a(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) a(a)(a(c)(c(a)(a(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) b(a)(a(c)(c(a)(a(c)(x1)))) -> b(b)(b(b)(b(b)(b(c)(x1)))) b(a)(a(c)(c(a)(a(a)(x1)))) -> b(b)(b(b)(b(b)(b(a)(x1)))) b(a)(a(c)(c(a)(a(b)(x1)))) -> b(b)(b(b)(b(b)(b(b)(x1)))) c(a)(a(b)(b(b)(b(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(b)(b(b)(b(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) a(a)(a(b)(b(b)(b(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(b)(b(b)(b(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(b)(b(b)(b(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(b)(b(b)(b(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) Qed