%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : LAT039-1 : 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 : n025.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 06:27:13 EDT 2023

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT039-1 : 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
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 09:46:51 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.40  Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 0.20/0.40  
% 0.20/0.40  % SZS status Unsatisfiable
% 0.20/0.40  
% 0.20/0.40  % SZS output start Proof
% 0.20/0.40  Axiom 1 (commutativity_of_join): join(X, Y) = join(Y, X).
% 0.20/0.40  Axiom 2 (lhs): join(xx, yy) = yy.
% 0.20/0.40  Axiom 3 (commutativity_of_meet): meet(X, Y) = meet(Y, X).
% 0.20/0.40  Axiom 4 (absorption1): meet(X, join(X, Y)) = X.
% 0.20/0.40  Axiom 5 (dist_meet): meet(X, join(Y, Z)) = join(meet(X, Y), meet(X, Z)).
% 0.20/0.40  
% 0.20/0.40  Goal 1 (rhs): join(xx, meet(yy, zz)) = meet(yy, join(xx, zz)).
% 0.20/0.40  Proof:
% 0.20/0.40    join(xx, meet(yy, zz))
% 0.20/0.40  = { by axiom 1 (commutativity_of_join) R->L }
% 0.20/0.40    join(meet(yy, zz), xx)
% 0.20/0.40  = { by axiom 4 (absorption1) R->L }
% 0.20/0.40    join(meet(yy, zz), meet(xx, join(xx, yy)))
% 0.20/0.40  = { by axiom 2 (lhs) }
% 0.20/0.40    join(meet(yy, zz), meet(xx, yy))
% 0.20/0.40  = { by axiom 3 (commutativity_of_meet) R->L }
% 0.20/0.40    join(meet(yy, zz), meet(yy, xx))
% 0.20/0.40  = { by axiom 5 (dist_meet) R->L }
% 0.20/0.40    meet(yy, join(zz, xx))
% 0.20/0.40  = { by axiom 1 (commutativity_of_join) }
% 0.20/0.40    meet(yy, join(xx, zz))
% 0.20/0.40  % SZS output end Proof
% 0.20/0.40  
% 0.20/0.40  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------