/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: a(a(c(x1))) -> b(a(a(x1))) b(c(a(x1))) -> a(a(a(x1))) weak: c(a(a(x1))) -> b(c(a(x1))) c(c(a(x1))) -> c(a(c(x1))) a(b(c(x1))) -> a(c(b(x1))) a(b(b(x1))) -> b(a(c(x1))) a(a(c(x1))) -> a(c(a(x1))) Proof: Root-Labeling Processor: strict: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) weak: a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(c)(x1))) -> a(c)(c(b)(b(c)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) RT Transformation Processor: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(c)(x1))) -> a(c)(c(b)(b(c)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [a(c)](x0) = [0 1 0]x0 [1 0 0] , [0] [c(c)](x0) = x0 + [0] [1], [1 0 0] [a(a)](x0) = [0 1 0]x0 [1 0 0] , [1 0 0] [c(a)](x0) = [0 1 0]x0 [0 0 0] , [b(b)](x0) = x0 , [1 0 0] [b(a)](x0) = [0 1 0]x0 [0 0 0] , [b(c)](x0) = x0 , [1 0 1] [c(b)](x0) = [0 1 1]x0 [0 0 0] , [1 0 1] [a(b)](x0) = [0 1 1]x0 [1 0 1] orientation: [1 0 0] [1 0 0] a(a)(a(a)(a(c)(c(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = a(b)(b(a)(a(a)(a(a)(x1)))) [1 0 0] [1 0 0] [1 0 0] [1 0 0] a(a)(a(a)(a(c)(c(c)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = a(b)(b(a)(a(a)(a(c)(x1)))) [1 0 0] [1 0 0] [1 0 1] [1 0 1] a(a)(a(a)(a(c)(c(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = a(b)(b(a)(a(a)(a(b)(x1)))) [1 0 1] [1 0 1] [1 0 0] [1 0 0] c(a)(a(a)(a(c)(c(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = c(b)(b(a)(a(a)(a(a)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] c(a)(a(a)(a(c)(c(c)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = c(b)(b(a)(a(a)(a(c)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 1] c(a)(a(a)(a(c)(c(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = c(b)(b(a)(a(a)(a(b)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] b(a)(a(a)(a(c)(c(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = b(b)(b(a)(a(a)(a(a)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] b(a)(a(a)(a(c)(c(c)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = b(b)(b(a)(a(a)(a(c)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 1] b(a)(a(a)(a(c)(c(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = b(b)(b(a)(a(a)(a(b)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] a(b)(b(c)(c(a)(a(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = a(a)(a(a)(a(a)(a(a)(x1)))) [1 0 0] [1 0 0] [1 0 0] [1 0 0] a(b)(b(c)(c(a)(a(c)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = a(a)(a(a)(a(a)(a(c)(x1)))) [1 0 0] [1 0 0] [1 0 1] [1 0 1] a(b)(b(c)(c(a)(a(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = a(a)(a(a)(a(a)(a(b)(x1)))) [1 0 1] [1 0 1] [1 0 0] [1 0 0] c(b)(b(c)(c(a)(a(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = c(a)(a(a)(a(a)(a(a)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] c(b)(b(c)(c(a)(a(c)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = c(a)(a(a)(a(a)(a(c)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 1] c(b)(b(c)(c(a)(a(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = c(a)(a(a)(a(a)(a(b)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] b(b)(b(c)(c(a)(a(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = b(a)(a(a)(a(a)(a(a)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] b(b)(b(c)(c(a)(a(c)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = b(a)(a(a)(a(a)(a(c)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 1] b(b)(b(c)(c(a)(a(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = b(a)(a(a)(a(a)(a(b)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] a(c)(c(a)(a(a)(a(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = a(b)(b(c)(c(a)(a(a)(x1)))) [1 0 0] [1 0 0] [1 0 0] [1 0 0] a(c)(c(a)(a(a)(a(c)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = a(b)(b(c)(c(a)(a(c)(x1)))) [1 0 0] [1 0 0] [1 0 1] [1 0 1] a(c)(c(a)(a(a)(a(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = a(b)(b(c)(c(a)(a(b)(x1)))) [1 0 1] [1 0 1] [1 0 0] [0] [1 0 0] c(c)(c(a)(a(a)(a(a)(x1)))) = [0 1 0]x1 + [0] >= [0 1 0]x1 = c(b)(b(c)(c(a)(a(a)(x1)))) [0 0 0] [1] [0 0 0] [1 0 0] [0] [1 0 0] c(c)(c(a)(a(a)(a(c)(x1)))) = [0 1 0]x1 + [0] >= [0 1 0]x1 = c(b)(b(c)(c(a)(a(c)(x1)))) [0 0 0] [1] [0 0 0] [1 0 1] [0] [1 0 1] c(c)(c(a)(a(a)(a(b)(x1)))) = [0 1 1]x1 + [0] >= [0 1 1]x1 = c(b)(b(c)(c(a)(a(b)(x1)))) [0 0 0] [1] [0 0 0] [1 0 0] [1 0 0] b(c)(c(a)(a(a)(a(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = b(b)(b(c)(c(a)(a(a)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] b(c)(c(a)(a(a)(a(c)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = b(b)(b(c)(c(a)(a(c)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 1] b(c)(c(a)(a(a)(a(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = b(b)(b(c)(c(a)(a(b)(x1)))) [0 0 0] [0 0 0] [1 0 0] [0] [1 0 0] c(c)(c(a)(a(a)(x1))) = [0 1 0]x1 + [0] >= [0 1 0]x1 = c(a)(a(c)(c(a)(x1))) [0 0 0] [1] [0 0 0] [1 0 0] [0] [1 0 0] c(c)(c(a)(a(c)(x1))) = [0 1 0]x1 + [0] >= [0 1 0]x1 = c(a)(a(c)(c(c)(x1))) [0 0 0] [1] [0 0 0] [1 0 1] [0] [1 0 1] c(c)(c(a)(a(b)(x1))) = [0 1 1]x1 + [0] >= [0 1 1]x1 = c(a)(a(c)(c(b)(x1))) [0 0 0] [1] [0 0 0] [1 0 0] [1 0 0] a(b)(b(c)(c(a)(x1))) = [0 1 0]x1 >= [0 1 0]x1 = a(c)(c(b)(b(a)(x1))) [1 0 0] [1 0 0] [1 0 1] [1] [1 0 1] a(b)(b(c)(c(c)(x1))) = [0 1 1]x1 + [1] >= [0 1 1]x1 = a(c)(c(b)(b(c)(x1))) [1 0 1] [1] [1 0 1] [1 0 1] [1 0 1] a(b)(b(c)(c(b)(x1))) = [0 1 1]x1 >= [0 1 1]x1 = a(c)(c(b)(b(b)(x1))) [1 0 1] [1 0 1] [1 0 0] [1 0 0] a(a)(a(b)(b(b)(b(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = a(b)(b(a)(a(c)(c(a)(x1)))) [1 0 0] [1 0 0] [1 0 1] [1 0 0] a(a)(a(b)(b(b)(b(c)(x1)))) = [0 1 1]x1 >= [0 1 0]x1 = a(b)(b(a)(a(c)(c(c)(x1)))) [1 0 1] [1 0 0] [1 0 1] [1 0 1] a(a)(a(b)(b(b)(b(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = a(b)(b(a)(a(c)(c(b)(x1)))) [1 0 1] [1 0 1] [1 0 0] [1 0 0] c(a)(a(b)(b(b)(b(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = c(b)(b(a)(a(c)(c(a)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 0] c(a)(a(b)(b(b)(b(c)(x1)))) = [0 1 1]x1 >= [0 1 0]x1 = c(b)(b(a)(a(c)(c(c)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 1] c(a)(a(b)(b(b)(b(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = c(b)(b(a)(a(c)(c(b)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] b(a)(a(b)(b(b)(b(a)(x1)))) = [0 1 0]x1 >= [0 1 0]x1 = b(b)(b(a)(a(c)(c(a)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 0] b(a)(a(b)(b(b)(b(c)(x1)))) = [0 1 1]x1 >= [0 1 0]x1 = b(b)(b(a)(a(c)(c(c)(x1)))) [0 0 0] [0 0 0] [1 0 1] [1 0 1] b(a)(a(b)(b(b)(b(b)(x1)))) = [0 1 1]x1 >= [0 1 1]x1 = b(b)(b(a)(a(c)(c(b)(x1)))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] a(a)(a(c)(c(a)(x1))) = [0 1 0]x1 >= [0 1 0]x1 = a(c)(c(a)(a(a)(x1))) [1 0 0] [1 0 0] [1 0 0] [1 0 0] a(a)(a(c)(c(c)(x1))) = [0 1 0]x1 >= [0 1 0]x1 = a(c)(c(a)(a(c)(x1))) [1 0 0] [1 0 0] [1 0 1] [1 0 1] a(a)(a(c)(c(b)(x1))) = [0 1 1]x1 >= [0 1 1]x1 = a(c)(c(a)(a(b)(x1))) [1 0 1] [1 0 1] problem: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) DP Processor: DPs: a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(b),#}(b(a)(a(a)(a(a)(x1)))) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(b),#}(b(a)(a(a)(a(c)(x1)))) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(b(a)(a(a)(a(b)(x1)))) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(a)(a(a)(a(a)(x1)))) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(a)(a(a)(a(c)(x1)))) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(a)(a(a)(a(b)(x1)))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(b),#}(b(a)(a(a)(a(a)(x1)))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(b),#}(b(a)(a(a)(a(c)(x1)))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(b),#}(b(a)(a(a)(a(b)(x1)))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> c{(a),#}(a(a)(a(a)(a(c)(x1)))) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> b{(a),#}(a(a)(a(a)(a(a)(x1)))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> b{(a),#}(a(a)(a(a)(a(c)(x1)))) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> b{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(a)(a(a)(x1)))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(a)(a(b)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(b),#}(b(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(b),#}(b(c)(c(a)(a(c)(x1)))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(b),#}(b(c)(c(a)(a(b)(x1)))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(b),#}(b(c)(c(a)(a(a)(x1)))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(b),#}(b(c)(c(a)(a(c)(x1)))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(b),#}(b(c)(c(a)(a(b)(x1)))) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(x1) c{(c),#}(c(a)(a(a)(x1))) -> a{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(a(c)(c(a)(x1))) c{(c),#}(c(a)(a(c)(x1))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(c)(x1))) -> a{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(c)(x1))) -> c{(a),#}(a(c)(c(c)(x1))) c{(c),#}(c(a)(a(b)(x1))) -> c{(b),#}(x1) c{(c),#}(c(a)(a(b)(x1))) -> a{(c),#}(c(b)(x1)) c{(c),#}(c(a)(a(b)(x1))) -> c{(a),#}(a(c)(c(b)(x1))) a{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(c),#}(c(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> b{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(c),#}(c(b)(b(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))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(b),#}(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(c)(x1)))) -> a{(b),#}(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(b)(x1)))) -> a{(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)))) 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)))) 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))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(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(c)(x1)))) -> b{(b),#}(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(b)(x1)))) -> b{(b),#}(b(a)(a(c)(c(b)(x1)))) a{(a),#}(a(c)(c(a)(x1))) -> a{(a),#}(x1) a{(a),#}(a(c)(c(a)(x1))) -> c{(a),#}(a(a)(x1)) a{(a),#}(a(c)(c(a)(x1))) -> a{(c),#}(c(a)(a(a)(x1))) a{(a),#}(a(c)(c(c)(x1))) -> a{(c),#}(x1) a{(a),#}(a(c)(c(c)(x1))) -> c{(a),#}(a(c)(x1)) a{(a),#}(a(c)(c(c)(x1))) -> a{(c),#}(c(a)(a(c)(x1))) a{(a),#}(a(c)(c(b)(x1))) -> a{(b),#}(x1) a{(a),#}(a(c)(c(b)(x1))) -> c{(a),#}(a(b)(x1)) a{(a),#}(a(c)(c(b)(x1))) -> a{(c),#}(c(a)(a(b)(x1))) TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) TDG Processor: DPs: a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(b),#}(b(a)(a(a)(a(a)(x1)))) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(b),#}(b(a)(a(a)(a(c)(x1)))) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(b(a)(a(a)(a(b)(x1)))) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(a)(a(a)(a(a)(x1)))) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(a)(a(a)(a(c)(x1)))) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(a)(a(a)(a(b)(x1)))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(b),#}(b(a)(a(a)(a(a)(x1)))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(b),#}(b(a)(a(a)(a(c)(x1)))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(b),#}(b(a)(a(a)(a(b)(x1)))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> c{(a),#}(a(a)(a(a)(a(c)(x1)))) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> b{(a),#}(a(a)(a(a)(a(a)(x1)))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> b{(a),#}(a(a)(a(a)(a(c)(x1)))) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> b{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(a)(a(a)(x1)))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(a)(a(b)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(b),#}(b(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(b),#}(b(c)(c(a)(a(c)(x1)))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(b),#}(b(c)(c(a)(a(b)(x1)))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(b),#}(b(c)(c(a)(a(a)(x1)))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(b),#}(b(c)(c(a)(a(c)(x1)))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(b),#}(b(c)(c(a)(a(b)(x1)))) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(x1) c{(c),#}(c(a)(a(a)(x1))) -> a{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(a(c)(c(a)(x1))) c{(c),#}(c(a)(a(c)(x1))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(c)(x1))) -> a{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(c)(x1))) -> c{(a),#}(a(c)(c(c)(x1))) c{(c),#}(c(a)(a(b)(x1))) -> c{(b),#}(x1) c{(c),#}(c(a)(a(b)(x1))) -> a{(c),#}(c(b)(x1)) c{(c),#}(c(a)(a(b)(x1))) -> c{(a),#}(a(c)(c(b)(x1))) a{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(c),#}(c(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> b{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(c),#}(c(b)(b(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))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(b),#}(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(c)(x1)))) -> a{(b),#}(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(b)(x1)))) -> a{(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)))) 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)))) 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))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(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(c)(x1)))) -> b{(b),#}(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(b)(x1)))) -> b{(b),#}(b(a)(a(c)(c(b)(x1)))) a{(a),#}(a(c)(c(a)(x1))) -> a{(a),#}(x1) a{(a),#}(a(c)(c(a)(x1))) -> c{(a),#}(a(a)(x1)) a{(a),#}(a(c)(c(a)(x1))) -> a{(c),#}(c(a)(a(a)(x1))) a{(a),#}(a(c)(c(c)(x1))) -> a{(c),#}(x1) a{(a),#}(a(c)(c(c)(x1))) -> c{(a),#}(a(c)(x1)) a{(a),#}(a(c)(c(c)(x1))) -> a{(c),#}(c(a)(a(c)(x1))) a{(a),#}(a(c)(c(b)(x1))) -> a{(b),#}(x1) a{(a),#}(a(c)(c(b)(x1))) -> c{(a),#}(a(b)(x1)) a{(a),#}(a(c)(c(b)(x1))) -> a{(c),#}(c(a)(a(b)(x1))) TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) graph: ... EDG Processor: DPs: a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(b),#}(b(a)(a(a)(a(a)(x1)))) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(b),#}(b(a)(a(a)(a(c)(x1)))) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(b(a)(a(a)(a(b)(x1)))) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> c{(b),#}(b(a)(a(a)(a(a)(x1)))) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> c{(b),#}(b(a)(a(a)(a(c)(x1)))) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> c{(b),#}(b(a)(a(a)(a(b)(x1)))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(b),#}(b(a)(a(a)(a(a)(x1)))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(b),#}(b(a)(a(a)(a(c)(x1)))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(b),#}(b(a)(a(a)(a(b)(x1)))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> c{(a),#}(a(a)(a(a)(a(c)(x1)))) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> b{(a),#}(a(a)(a(a)(a(a)(x1)))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> b{(a),#}(a(a)(a(a)(a(c)(x1)))) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> b{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(a)(a(a)(x1)))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(a)(a(b)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(b),#}(b(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(b),#}(b(c)(c(a)(a(c)(x1)))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(b),#}(b(c)(c(a)(a(b)(x1)))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(b),#}(b(c)(c(a)(a(a)(x1)))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(b),#}(b(c)(c(a)(a(c)(x1)))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(a),#}(a(b)(x1)) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(b),#}(b(c)(c(a)(a(b)(x1)))) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(x1) c{(c),#}(c(a)(a(a)(x1))) -> a{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(a(c)(c(a)(x1))) c{(c),#}(c(a)(a(c)(x1))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(c)(x1))) -> a{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(c)(x1))) -> c{(a),#}(a(c)(c(c)(x1))) c{(c),#}(c(a)(a(b)(x1))) -> c{(b),#}(x1) c{(c),#}(c(a)(a(b)(x1))) -> a{(c),#}(c(b)(x1)) c{(c),#}(c(a)(a(b)(x1))) -> c{(a),#}(a(c)(c(b)(x1))) a{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> c{(b),#}(b(a)(x1)) a{(b),#}(b(c)(c(a)(x1))) -> a{(c),#}(c(b)(b(a)(x1))) a{(b),#}(b(c)(c(b)(x1))) -> b{(b),#}(x1) a{(b),#}(b(c)(c(b)(x1))) -> c{(b),#}(b(b)(x1)) a{(b),#}(b(c)(c(b)(x1))) -> a{(c),#}(c(b)(b(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))) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> a{(b),#}(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(c)(x1)))) -> a{(b),#}(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(b)(x1)))) -> a{(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)))) 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)))) 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))) b{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(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(c)(x1)))) -> b{(b),#}(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(b)(x1)))) -> b{(b),#}(b(a)(a(c)(c(b)(x1)))) a{(a),#}(a(c)(c(a)(x1))) -> a{(a),#}(x1) a{(a),#}(a(c)(c(a)(x1))) -> c{(a),#}(a(a)(x1)) a{(a),#}(a(c)(c(a)(x1))) -> a{(c),#}(c(a)(a(a)(x1))) a{(a),#}(a(c)(c(c)(x1))) -> a{(c),#}(x1) a{(a),#}(a(c)(c(c)(x1))) -> c{(a),#}(a(c)(x1)) a{(a),#}(a(c)(c(c)(x1))) -> a{(c),#}(c(a)(a(c)(x1))) a{(a),#}(a(c)(c(b)(x1))) -> a{(b),#}(x1) a{(a),#}(a(c)(c(b)(x1))) -> c{(a),#}(a(b)(x1)) a{(a),#}(a(c)(c(b)(x1))) -> a{(c),#}(c(a)(a(b)(x1))) TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) graph: ... SCC Processor: #sccs: 1 #rules: 130 #arcs: 2440/22500 DPs: c{(c),#}(c(a)(a(b)(x1))) -> c{(b),#}(x1) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(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(b)(x1)))) -> a{(c),#}(c(b)(x1)) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(a)(a(b)(x1)))) a{(b),#}(b(c)(c(b)(x1))) -> a{(c),#}(c(b)(b(b)(x1))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(b),#}(b(c)(c(a)(a(b)(x1)))) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> b{(a),#}(a(a)(a(a)(a(b)(x1)))) b{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) a{(a),#}(a(c)(c(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(b)(b(b)(b(b)(x1)))) -> a{(c),#}(c(b)(x1)) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(b),#}(b(c)(c(b)(x1))) -> b{(b),#}(x1) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(b)(x1))) a{(a),#}(a(c)(c(b)(x1))) -> c{(a),#}(a(b)(x1)) c{(a),#}(a(b)(b(b)(b(b)(x1)))) -> c{(b),#}(x1) c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(c)(c(b)(x1))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(a)(x1))) -> a{(c),#}(c(b)(b(a)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) b{(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)(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(c)(x1)))) -> a{(c),#}(c(c)(x1)) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> a{(c),#}(c(c)(x1)) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(a)(a(a)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> b{(a),#}(x1) b{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(b)(x1))) -> c{(a),#}(a(c)(c(b)(x1))) c{(a),#}(a(b)(b(b)(b(c)(x1)))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(b)(x1))) -> a{(c),#}(c(b)(x1)) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(b),#}(b(c)(c(a)(a(c)(x1)))) b{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(c)(c(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(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)) 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)) c{(a),#}(a(b)(b(b)(b(a)(x1)))) -> c{(a),#}(x1) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(c)(c(a)(x1))) -> c{(a),#}(a(a)(x1)) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(c)(c(a)(x1))) -> a{(a),#}(x1) a{(a),#}(a(c)(c(c)(x1))) -> a{(c),#}(c(a)(a(c)(x1))) a{(a),#}(a(c)(c(c)(x1))) -> c{(a),#}(a(c)(x1)) c{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(a),#}(a(b)(b(b)(b(b)(x1)))) -> b{(a),#}(a(c)(c(b)(x1))) b{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(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)))) -> c{(b),#}(x1) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> c{(a),#}(a(a)(a(a)(a(c)(x1)))) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(a),#}(a(b)(b(b)(b(c)(x1)))) -> b{(a),#}(a(c)(c(c)(x1))) b{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(c)(c(c)(x1))) -> a{(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)))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(c)(x1))) -> c{(a),#}(a(c)(c(c)(x1))) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(a),#}(a(b)(b(b)(b(a)(x1)))) -> b{(a),#}(a(c)(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)))) -> c{(a),#}(x1) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> b{(a),#}(a(a)(a(b)(x1))) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(a)(a(c)(c(b)(x1)))) -> a{(b),#}(x1) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(b)(x1)) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> b{(a),#}(a(a)(a(a)(x1))) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(a(a)(x1)) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> b{(a),#}(a(a)(a(c)(x1))) b{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) a{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(a),#}(a(a)(a(c)(c(c)(x1)))) -> a{(c),#}(x1) c{(a),#}(a(a)(a(c)(c(a)(x1)))) -> a{(a),#}(x1) c{(c),#}(c(a)(a(c)(x1))) -> a{(c),#}(c(c)(x1)) c{(c),#}(c(a)(a(c)(x1))) -> c{(c),#}(x1) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(a(c)(c(a)(x1))) c{(c),#}(c(a)(a(a)(x1))) -> a{(c),#}(c(a)(x1)) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(x1) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(b),#}(b(c)(c(a)(a(b)(x1)))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(c),#}(c(a)(a(b)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(b),#}(b(c)(c(a)(a(a)(x1)))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> b{(a),#}(a(a)(a(a)(a(c)(x1)))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(c)(x1))) b{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(c)(x1)) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> b{(a),#}(a(a)(a(a)(a(a)(x1)))) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(x1))) b{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(x1)) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> 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(c)(x1)))) -> c{(b),#}(b(c)(c(a)(a(c)(x1)))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(c),#}(c(a)(a(c)(x1))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(a),#}(a(c)(x1)) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(b),#}(b(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(c),#}(c(a)(a(a)(x1))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(a),#}(a(a)(x1)) TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) Subterm Criterion Processor: simple projection: pi(a(a)) = [0,0] pi(a(c)) = [0,0] pi(c(a)) = [0,0] pi(a(b)) = [0,0] pi(b(a)) = [0,0] pi(c(c)) = [0,0] pi(c(b)) = [0,0] pi(b(b)) = [0,0] pi(b(c)) = [0,0] pi(a{(a),#}) = [0,0] pi(b{(a),#}) = [0,0] pi(a{(b),#}) = [0,0] pi(a{(c),#}) = [0,0] pi(c{(a),#}) = [0,0] pi(c{(b),#}) = [0,0] pi(b{(b),#}) = [0,0,0] pi(b{(c),#}) = [0,0,0] pi(c{(c),#}) = [0,0] problem: DPs: c{(b),#}(b(c)(c(a)(a(b)(x1)))) -> c{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(a)(a(b)(x1)))) a{(b),#}(b(c)(c(b)(x1))) -> a{(c),#}(c(b)(b(b)(x1))) b{(c),#}(c(a)(a(a)(a(b)(x1)))) -> b{(b),#}(b(c)(c(a)(a(b)(x1)))) a{(a),#}(a(c)(c(b)(x1))) -> a{(c),#}(c(a)(a(b)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> a{(c),#}(c(b)(b(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(b)(x1))) -> c{(a),#}(a(c)(c(b)(x1))) b{(c),#}(c(a)(a(a)(a(c)(x1)))) -> b{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(a),#}(a(c)(c(a)(x1))) -> a{(c),#}(c(a)(a(a)(x1))) a{(a),#}(a(c)(c(c)(x1))) -> a{(c),#}(c(a)(a(c)(x1))) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) c{(b),#}(b(c)(c(a)(a(c)(x1)))) -> c{(a),#}(a(a)(a(a)(a(c)(x1)))) c{(c),#}(c(a)(a(c)(x1))) -> c{(a),#}(a(c)(c(c)(x1))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(x1))) -> c{(a),#}(a(c)(c(a)(x1))) c{(c),#}(c(a)(a(a)(a(b)(x1)))) -> c{(b),#}(b(c)(c(a)(a(b)(x1)))) c{(b),#}(b(c)(c(a)(a(a)(x1)))) -> c{(a),#}(a(a)(a(a)(a(a)(x1)))) b{(c),#}(c(a)(a(a)(a(a)(x1)))) -> b{(b),#}(b(c)(c(a)(a(a)(x1)))) c{(c),#}(c(a)(a(a)(a(c)(x1)))) -> c{(b),#}(b(c)(c(a)(a(c)(x1)))) c{(c),#}(c(a)(a(a)(a(a)(x1)))) -> c{(b),#}(b(c)(c(a)(a(a)(x1)))) TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) SCC Processor: #sccs: 1 #rules: 10 #arcs: 2011/529 DPs: a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(a)(a(b)(x1)))) a{(b),#}(b(c)(c(b)(x1))) -> a{(c),#}(c(b)(b(b)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(x1))) -> a{(c),#}(c(b)(b(a)(x1))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(a)(a(a)(x1)))) a{(b),#}(b(c)(c(a)(a(b)(x1)))) -> a{(a),#}(a(a)(a(a)(a(b)(x1)))) a{(a),#}(a(c)(c(b)(x1))) -> a{(c),#}(c(a)(a(b)(x1))) a{(a),#}(a(c)(c(a)(x1))) -> a{(c),#}(c(a)(a(a)(x1))) a{(b),#}(b(c)(c(a)(a(c)(x1)))) -> a{(a),#}(a(a)(a(a)(a(c)(x1)))) a{(b),#}(b(c)(c(a)(a(a)(x1)))) -> a{(a),#}(a(a)(a(a)(a(a)(x1)))) TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) Semantic Labeling Processor: dimension: 1 usable rules: c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) interpretation: [a(c)](x0) = x0 + 1, [c(c)](x0) = x0 + 1, [a(a)](x0) = x0, [c(a)](x0) = x0, [b(b)](x0) = x0, [b(a)](x0) = 0, [b(c)](x0) = x0 + 1, [c(b)](x0) = x0, [a(b)](x0) = x0 labeled: c(a) a(b) c(b) a(c) b(a) a{(a),#} usable (for model): a{(c),#} c(a) a(a) a(b) a{(b),#} b(c) c(b) b(b) a(c) b(a) a{(a),#} c(c) argument filtering: pi(a(a)) = 0 pi(a(c)) = [] pi(c(a)) = [] pi(a(b)) = 0 pi(b(a)) = [] pi(c(c)) = 0 pi(c(b)) = [] pi(b(b)) = 0 pi(b(c)) = 0 pi(a{(a),#}) = [] pi(a{(b),#}) = 0 pi(a{(c),#}) = 0 precedence: c(a) > a{(c),#} ~ a{(b),#} ~ a{(a),#} ~ b(c) ~ b(b) ~ c(b) ~ c(c) ~ b(a) ~ a(b) ~ a(c) ~ a(a) problem: DPs: a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(a)(a(b)(x1)))) a{(b),#}(b(c)(c(b)(x1))) -> a{(c),#}(c(b)(b(b)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(a)(a(a)(x1)))) TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) Restore Modifier: DPs: a{(c),#}(c(a)(a(a)(a(b)(x1)))) -> a{(b),#}(b(c)(c(a)(a(b)(x1)))) a{(b),#}(b(c)(c(b)(x1))) -> a{(c),#}(c(b)(b(b)(x1))) a{(c),#}(c(a)(a(a)(a(c)(x1)))) -> a{(b),#}(b(c)(c(a)(a(c)(x1)))) a{(c),#}(c(a)(a(a)(a(a)(x1)))) -> a{(b),#}(b(c)(c(a)(a(a)(x1)))) TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) Semantic Labeling Processor: dimension: 1 usable rules: c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) interpretation: [a(c)](x0) = 0, [c(c)](x0) = 1, [a(a)](x0) = 0, [c(a)](x0) = 0, [b(b)](x0) = 0, [b(a)](x0) = 0, [b(c)](x0) = 1, [c(b)](x0) = x0, [a(b)](x0) = 0 labeled: c(a) a{(b),#} c(b) usable (for model): a{(c),#} c(a) a(a) a(b) a{(b),#} b(c) c(b) b(b) a(c) b(a) c(c) argument filtering: pi(a(a)) = 0 pi(a(c)) = 0 pi(c(a)) = [] pi(a(b)) = 0 pi(b(a)) = [] pi(c(c)) = 0 pi(c(b)) = [] pi(b(b)) = 0 pi(b(c)) = [] pi(a{(b),#}) = [] pi(a{(c),#}) = 0 precedence: c(a) > a{(b),#} > a{(c),#} ~ b(c) ~ b(b) ~ c(b) ~ c(c) ~ b(a) ~ a(b) ~ a(c) ~ a(a) problem: DPs: TRS: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(b)(b(a)(a(a)(a(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(b)(b(a)(a(a)(a(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(b)(b(a)(a(a)(a(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(b)(b(a)(a(a)(a(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(b)(b(a)(a(a)(a(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1)))) a(b)(b(c)(c(a)(a(a)(x1)))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(c)(c(a)(a(c)(x1)))) -> a(a)(a(a)(a(a)(a(c)(x1)))) a(b)(b(c)(c(a)(a(b)(x1)))) -> a(a)(a(a)(a(a)(a(b)(x1)))) c(b)(b(c)(c(a)(a(a)(x1)))) -> c(a)(a(a)(a(a)(a(a)(x1)))) c(b)(b(c)(c(a)(a(c)(x1)))) -> c(a)(a(a)(a(a)(a(c)(x1)))) c(b)(b(c)(c(a)(a(b)(x1)))) -> c(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(c)(c(a)(a(a)(x1)))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(c)(c(a)(a(c)(x1)))) -> b(a)(a(a)(a(a)(a(c)(x1)))) b(b)(b(c)(c(a)(a(b)(x1)))) -> b(a)(a(a)(a(a)(a(b)(x1)))) a(c)(c(a)(a(a)(a(a)(x1)))) -> a(b)(b(c)(c(a)(a(a)(x1)))) a(c)(c(a)(a(a)(a(c)(x1)))) -> a(b)(b(c)(c(a)(a(c)(x1)))) a(c)(c(a)(a(a)(a(b)(x1)))) -> a(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(a(a)(x1)))) -> c(b)(b(c)(c(a)(a(a)(x1)))) c(c)(c(a)(a(a)(a(c)(x1)))) -> c(b)(b(c)(c(a)(a(c)(x1)))) c(c)(c(a)(a(a)(a(b)(x1)))) -> c(b)(b(c)(c(a)(a(b)(x1)))) b(c)(c(a)(a(a)(a(a)(x1)))) -> b(b)(b(c)(c(a)(a(a)(x1)))) b(c)(c(a)(a(a)(a(c)(x1)))) -> b(b)(b(c)(c(a)(a(c)(x1)))) b(c)(c(a)(a(a)(a(b)(x1)))) -> b(b)(b(c)(c(a)(a(b)(x1)))) c(c)(c(a)(a(a)(x1))) -> c(a)(a(c)(c(a)(x1))) c(c)(c(a)(a(c)(x1))) -> c(a)(a(c)(c(c)(x1))) c(c)(c(a)(a(b)(x1))) -> c(a)(a(c)(c(b)(x1))) a(b)(b(c)(c(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(b)(b(c)(c(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(b)(b(a)(x1)))) -> a(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)))) c(a)(a(b)(b(b)(b(a)(x1)))) -> c(b)(b(a)(a(c)(c(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)))) b(a)(a(b)(b(b)(b(a)(x1)))) -> b(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)))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(a)(a(a)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(a)(a(c)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(a)(a(b)(x1))) Qed