MAYBE Time: 0.012846 TRS: {f(x, f(a(), f(f(a(), a()), a()))) -> f(f(a(), x), x)} DP: DP: {f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x), f#(x, f(a(), f(f(a(), a()), a()))) -> f#(a(), x)} TRS: {f(x, f(a(), f(f(a(), a()), a()))) -> f(f(a(), x), x)} EDG: {(f#(x, f(a(), f(f(a(), a()), a()))) -> f#(a(), x), f#(x, f(a(), f(f(a(), a()), a()))) -> f#(a(), x)) (f#(x, f(a(), f(f(a(), a()), a()))) -> f#(a(), x), f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x)) (f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x), f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x)) (f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x), f#(x, f(a(), f(f(a(), a()), a()))) -> f#(a(), x))} SCCS (1): Scc: {f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x), f#(x, f(a(), f(f(a(), a()), a()))) -> f#(a(), x)} SCC (2): Strict: {f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x), f#(x, f(a(), f(f(a(), a()), a()))) -> f#(a(), x)} Weak: {f(x, f(a(), f(f(a(), a()), a()))) -> f(f(a(), x), x)} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [f](x0, x1) = 1, [a] = 0, [f#](x0, x1) = x0 + x1 + 1 Strict: f#(x, f(a(), f(f(a(), a()), a()))) -> f#(a(), x) 2 + 1x >= 1 + 1x f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x) 2 + 1x >= 2 + 1x Weak: EDG: {(f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x), f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x))} SCCS (1): Scc: {f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x)} SCC (1): Strict: {f#(x, f(a(), f(f(a(), a()), a()))) -> f#(f(a(), x), x)} Weak: {f(x, f(a(), f(f(a(), a()), a()))) -> f(f(a(), x), x)} Fail