%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : BOO011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Wed Aug 30 18:11:21 EDT 2023

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 08:27:38 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.38  Command-line arguments: --flatten
% 0.15/0.38  
% 0.15/0.38  % SZS status Unsatisfiable
% 0.15/0.38  
% 0.15/0.39  % SZS output start Proof
% 0.15/0.39  Axiom 1 (commutativity_of_add): add(X, Y) = add(Y, X).
% 0.15/0.39  Axiom 2 (additive_id1): add(X, additive_identity) = X.
% 0.15/0.39  Axiom 3 (additive_inverse1): add(X, inverse(X)) = multiplicative_identity.
% 0.15/0.39  
% 0.15/0.39  Goal 1 (prove_inverse_of_1_is_0): inverse(additive_identity) = multiplicative_identity.
% 0.15/0.39  Proof:
% 0.15/0.39    inverse(additive_identity)
% 0.15/0.39  = { by axiom 2 (additive_id1) R->L }
% 0.15/0.39    add(inverse(additive_identity), additive_identity)
% 0.15/0.39  = { by axiom 1 (commutativity_of_add) }
% 0.15/0.39    add(additive_identity, inverse(additive_identity))
% 0.15/0.39  = { by axiom 3 (additive_inverse1) }
% 0.15/0.39    multiplicative_identity
% 0.15/0.39  % SZS output end Proof
% 0.15/0.39  
% 0.15/0.39  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------