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Metis---2.4.SAT-Sat.s

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Problem
Process solution in
SystemOnTSTP
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%------------------------------------------------------------------------------
% 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  
%------------------------------------------------------------------------------