%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : LAT040-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 06:27:14 EDT 2023

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT040-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 07:17:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  Command-line arguments: --flatten
% 0.19/0.44  
% 0.19/0.44  % SZS status Unsatisfiable
% 0.19/0.44  
% 0.19/0.44  % SZS output start Proof
% 0.19/0.44  Axiom 1 (commutativity_of_meet): meet(X, Y) = meet(Y, X).
% 0.19/0.44  Axiom 2 (lhs2): meet(xx, yy) = meet(xx, zz).
% 0.19/0.44  Axiom 3 (commutativity_of_join): join(X, Y) = join(Y, X).
% 0.19/0.44  Axiom 4 (lhs1): join(xx, yy) = join(xx, zz).
% 0.19/0.44  Axiom 5 (absorption2): join(X, meet(X, Y)) = X.
% 0.19/0.44  Axiom 6 (dist_join): join(X, meet(Y, Z)) = meet(join(X, Y), join(X, Z)).
% 0.19/0.44  
% 0.19/0.44  Goal 1 (rhs): yy = zz.
% 0.19/0.44  Proof:
% 0.19/0.44    yy
% 0.19/0.44  = { by axiom 5 (absorption2) R->L }
% 0.19/0.44    join(yy, meet(yy, xx))
% 0.19/0.44  = { by axiom 1 (commutativity_of_meet) R->L }
% 0.19/0.44    join(yy, meet(xx, yy))
% 0.19/0.44  = { by axiom 2 (lhs2) }
% 0.19/0.44    join(yy, meet(xx, zz))
% 0.19/0.44  = { by axiom 6 (dist_join) }
% 0.19/0.44    meet(join(yy, xx), join(yy, zz))
% 0.19/0.44  = { by axiom 3 (commutativity_of_join) R->L }
% 0.19/0.44    meet(join(xx, yy), join(yy, zz))
% 0.19/0.44  = { by axiom 3 (commutativity_of_join) R->L }
% 0.19/0.44    meet(join(xx, yy), join(zz, yy))
% 0.19/0.44  = { by axiom 4 (lhs1) }
% 0.19/0.44    meet(join(xx, zz), join(zz, yy))
% 0.19/0.44  = { by axiom 3 (commutativity_of_join) }
% 0.19/0.44    meet(join(zz, xx), join(zz, yy))
% 0.19/0.44  = { by axiom 6 (dist_join) R->L }
% 0.19/0.44    join(zz, meet(xx, yy))
% 0.19/0.44  = { by axiom 2 (lhs2) }
% 0.19/0.45    join(zz, meet(xx, zz))
% 0.19/0.45  = { by axiom 1 (commutativity_of_meet) }
% 0.19/0.45    join(zz, meet(zz, xx))
% 0.19/0.45  = { by axiom 5 (absorption2) }
% 0.19/0.45    zz
% 0.19/0.45  % SZS output end Proof
% 0.19/0.45  
% 0.19/0.45  RESULT: Unsatisfiable (the axioms are contradictory).
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