%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP156-1 : 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 : n023.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 01:17:23 EDT 2023

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP156-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.12  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Aug 29 02:52:55 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.19/0.37  Command-line arguments: --no-flatten-goal
% 0.19/0.37  
% 0.19/0.37  % SZS status Unsatisfiable
% 0.19/0.37  
% 0.19/0.37  % SZS output start Proof
% 0.19/0.37  Axiom 1 (ax_mono1c_1): least_upper_bound(a, b) = b.
% 0.19/0.37  Axiom 2 (glb_absorbtion): greatest_lower_bound(X, least_upper_bound(X, Y)) = X.
% 0.19/0.37  Axiom 3 (monotony_glb2): multiply(greatest_lower_bound(X, Y), Z) = greatest_lower_bound(multiply(X, Z), multiply(Y, Z)).
% 0.19/0.38  
% 0.19/0.38  Goal 1 (prove_ax_mono1c): greatest_lower_bound(multiply(a, c), multiply(b, c)) = multiply(a, c).
% 0.19/0.38  Proof:
% 0.19/0.38    greatest_lower_bound(multiply(a, c), multiply(b, c))
% 0.19/0.38  = { by axiom 3 (monotony_glb2) R->L }
% 0.19/0.38    multiply(greatest_lower_bound(a, b), c)
% 0.19/0.38  = { by axiom 1 (ax_mono1c_1) R->L }
% 0.19/0.38    multiply(greatest_lower_bound(a, least_upper_bound(a, b)), c)
% 0.19/0.38  = { by axiom 2 (glb_absorbtion) }
% 0.19/0.38    multiply(a, c)
% 0.19/0.38  % SZS output end Proof
% 0.19/0.38  
% 0.19/0.38  RESULT: Unsatisfiable (the axioms are contradictory).
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