%------------------------------------------------------------------------------ % File : Metis---2.4 % Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : metis --show proof --show saturation %s % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:42:37 PM UTC 2026 % Result : Satisfiable 0.12s 0.43s % Output : Saturation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.03 % Command : metis --show proof --show saturation %s % 0.08/0.35 % Computer : n002.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Fri Sep 4 14:28:35 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % 0.12/0.43 % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.43 % 0.12/0.43 SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.43 |- not $X = xor $X truth % 0.12/0.43 |- xor $X falsehood = $X % 0.12/0.43 |- xor $X $X = falsehood % 0.12/0.43 |- and_star $X truth = $X % 0.12/0.43 |- and_star $X falsehood = falsehood % 0.12/0.43 |- and_star (xor truth $X) $X = falsehood % 0.12/0.43 |- xor $X (xor truth $Y) = xor (not $X) $Y % 0.12/0.43 |- and_star (not (and_star (xor truth $X) $Y)) $Y = % 0.12/0.43 and_star (not (and_star (xor truth $Y) $X)) $X % 0.12/0.43 |- not truth = falsehood % 0.12/0.43 |- xor $X (xor falsehood $_7) = xor $X $_7 % 0.12/0.43 |- and_star (xor falsehood $_7) (xor truth $_7) = falsehood % 0.12/0.43 |- xor (not (xor truth $_7)) $_7 = falsehood % 0.12/0.43 |- $_6 = not (not $_6) % 0.12/0.43 |- truth = not falsehood % 0.12/0.43 |- falsehood = xor (xor falsehood $Y) $Y % 0.12/0.43 |- and_star (xor truth $Y) (xor falsehood $Y) = falsehood % 0.12/0.43 |- and_star (not (and_star truth $_15)) $_15 = falsehood % 0.12/0.43 |- and_star (not (and_star falsehood $_15)) $_15 = not (xor truth $_15) % 0.12/0.43 |- and_star truth (xor falsehood $_15) = and_star truth $_15 % 0.12/0.43 |- and_star (not (and_star truth $_18)) (xor falsehood $_18) = falsehood % 0.12/0.43 |- and_star (not (and_star (xor truth $_7) $_16)) $_16 = % 0.12/0.43 and_star (not (and_star (xor truth $_7) (xor falsehood $_16))) % 0.12/0.43 (xor falsehood $_16) % 0.12/0.43 |- and_star (not (and_star (xor falsehood $Y) $_21)) $_21 = % 0.12/0.43 and_star (not (and_star (xor truth $_21) (xor truth $Y))) (xor truth $Y) % 0.12/0.43 |- and_star (not (and_star (xor falsehood $Y) $_23)) $_23 = % 0.12/0.43 and_star (not (and_star (xor falsehood $Y) (xor falsehood $_23))) % 0.12/0.43 (xor falsehood $_23) % 0.12/0.43 |- and_star (not (and_star (xor falsehood $_25) (xor truth $Y))) % 0.12/0.43 (xor truth $Y) = % 0.12/0.43 and_star (not (and_star (xor falsehood $Y) (xor truth $_25))) % 0.12/0.43 (xor truth $_25) % 0.12/0.43 SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.43 %------------------------------------------------------------------------------