/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) Proof: DP Processor: DPs: 0#(0(0(0(x1)))) -> 1#(x1) 0#(0(0(0(x1)))) -> 1#(1(x1)) 0#(0(0(0(x1)))) -> 1#(1(1(x1))) 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) 1#(0(0(1(x1)))) -> 0#(x1) 1#(0(0(1(x1)))) -> 0#(0(x1)) 1#(0(0(1(x1)))) -> 0#(0(0(x1))) 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) TRS: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) TDG Processor: DPs: 0#(0(0(0(x1)))) -> 1#(x1) 0#(0(0(0(x1)))) -> 1#(1(x1)) 0#(0(0(0(x1)))) -> 1#(1(1(x1))) 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) 1#(0(0(1(x1)))) -> 0#(x1) 1#(0(0(1(x1)))) -> 0#(0(x1)) 1#(0(0(1(x1)))) -> 0#(0(0(x1))) 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) TRS: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) graph: 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) -> 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) -> 0#(0(0(0(x1)))) -> 1#(1(1(x1))) 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) -> 0#(0(0(0(x1)))) -> 1#(1(x1)) 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) -> 0#(0(0(0(x1)))) -> 1#(x1) 1#(0(0(1(x1)))) -> 0#(0(0(x1))) -> 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) 1#(0(0(1(x1)))) -> 0#(0(0(x1))) -> 0#(0(0(0(x1)))) -> 1#(1(1(x1))) 1#(0(0(1(x1)))) -> 0#(0(0(x1))) -> 0#(0(0(0(x1)))) -> 1#(1(x1)) 1#(0(0(1(x1)))) -> 0#(0(0(x1))) -> 0#(0(0(0(x1)))) -> 1#(x1) 1#(0(0(1(x1)))) -> 0#(0(x1)) -> 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) 1#(0(0(1(x1)))) -> 0#(0(x1)) -> 0#(0(0(0(x1)))) -> 1#(1(1(x1))) 1#(0(0(1(x1)))) -> 0#(0(x1)) -> 0#(0(0(0(x1)))) -> 1#(1(x1)) 1#(0(0(1(x1)))) -> 0#(0(x1)) -> 0#(0(0(0(x1)))) -> 1#(x1) 1#(0(0(1(x1)))) -> 0#(x1) -> 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) 1#(0(0(1(x1)))) -> 0#(x1) -> 0#(0(0(0(x1)))) -> 1#(1(1(x1))) 1#(0(0(1(x1)))) -> 0#(x1) -> 0#(0(0(0(x1)))) -> 1#(1(x1)) 1#(0(0(1(x1)))) -> 0#(x1) -> 0#(0(0(0(x1)))) -> 1#(x1) 0#(0(0(0(x1)))) -> 1#(1(1(x1))) -> 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) 0#(0(0(0(x1)))) -> 1#(1(1(x1))) -> 1#(0(0(1(x1)))) -> 0#(0(0(x1))) 0#(0(0(0(x1)))) -> 1#(1(1(x1))) -> 1#(0(0(1(x1)))) -> 0#(0(x1)) 0#(0(0(0(x1)))) -> 1#(1(1(x1))) -> 1#(0(0(1(x1)))) -> 0#(x1) 0#(0(0(0(x1)))) -> 1#(1(x1)) -> 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) 0#(0(0(0(x1)))) -> 1#(1(x1)) -> 1#(0(0(1(x1)))) -> 0#(0(0(x1))) 0#(0(0(0(x1)))) -> 1#(1(x1)) -> 1#(0(0(1(x1)))) -> 0#(0(x1)) 0#(0(0(0(x1)))) -> 1#(1(x1)) -> 1#(0(0(1(x1)))) -> 0#(x1) 0#(0(0(0(x1)))) -> 1#(x1) -> 1#(0(0(1(x1)))) -> 0#(0(0(0(x1)))) 0#(0(0(0(x1)))) -> 1#(x1) -> 1#(0(0(1(x1)))) -> 0#(0(0(x1))) 0#(0(0(0(x1)))) -> 1#(x1) -> 1#(0(0(1(x1)))) -> 0#(0(x1)) 0#(0(0(0(x1)))) -> 1#(x1) -> 1#(0(0(1(x1)))) -> 0#(x1) 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) -> 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) -> 0#(0(0(0(x1)))) -> 1#(1(1(x1))) 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) -> 0#(0(0(0(x1)))) -> 1#(1(x1)) 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) -> 0#(0(0(0(x1)))) -> 1#(x1) Arctic Interpretation Processor: dimension: 1 usable rules: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) interpretation: [1#](x0) = 8x0 + 0, [0#](x0) = 7x0, [1](x0) = 6x0 + 0, [0](x0) = 6x0 + 0 orientation: 0#(0(0(0(x1)))) = 25x1 + 19 >= 8x1 + 0 = 1#(x1) 0#(0(0(0(x1)))) = 25x1 + 19 >= 14x1 + 8 = 1#(1(x1)) 0#(0(0(0(x1)))) = 25x1 + 19 >= 20x1 + 14 = 1#(1(1(x1))) 0#(0(0(0(x1)))) = 25x1 + 19 >= 25x1 + 19 = 0#(1(1(1(x1)))) 1#(0(0(1(x1)))) = 26x1 + 20 >= 7x1 = 0#(x1) 1#(0(0(1(x1)))) = 26x1 + 20 >= 13x1 + 7 = 0#(0(x1)) 1#(0(0(1(x1)))) = 26x1 + 20 >= 19x1 + 13 = 0#(0(0(x1))) 1#(0(0(1(x1)))) = 26x1 + 20 >= 25x1 + 19 = 0#(0(0(0(x1)))) 0(0(0(0(x1)))) = 24x1 + 18 >= 24x1 + 18 = 0(1(1(1(x1)))) 1(0(0(1(x1)))) = 24x1 + 18 >= 24x1 + 18 = 0(0(0(0(x1)))) problem: DPs: 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) TRS: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) Restore Modifier: DPs: 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) TRS: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) EDG Processor: DPs: 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) TRS: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) graph: 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) -> 0#(0(0(0(x1)))) -> 0#(1(1(1(x1)))) Arctic Interpretation Processor: dimension: 4 usable rules: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) interpretation: [0#](x0) = [-& 0 -& -&]x0 + [0], [0 -& 0 0 ] [0] [-& -& -& 0 ] [0] [1](x0) = [0 0 0 0 ]x0 + [0] [0 0 -& -&] [0], [0 -& 0 0 ] [-&] [0 -& 1 -&] [1 ] [0](x0) = [0 -& -& -&]x0 + [-&] [0 0 0 0 ] [-&] orientation: 0#(0(0(0(x1)))) = [1 0 1 1]x1 + [1] >= [0 -& 0 0 ]x1 + [0] = 0#(1(1(1(x1)))) [1 0 1 0] [1] [0 0 0 0] [0] [1 1 1 1] [1] [1 1 1 1] [1] 0(0(0(0(x1)))) = [0 0 1 0]x1 + [1] >= [0 0 0 0]x1 + [0] = 0(1(1(1(x1)))) [1 0 1 1] [1] [0 0 0 0] [0] [1 1 1 1] [1] [1 0 1 0] [1] [1 1 1 1] [1] [1 1 1 1] [1] 1(0(0(1(x1)))) = [1 1 1 1]x1 + [1] >= [0 0 1 0]x1 + [1] = 0(0(0(0(x1)))) [1 0 1 1] [1] [1 0 1 1] [1] problem: DPs: TRS: 0(0(0(0(x1)))) -> 0(1(1(1(x1)))) 1(0(0(1(x1)))) -> 0(0(0(0(x1)))) Qed