%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP159-1 : 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 : n013.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 01:17:24 EDT 2023

% Result   : Unsatisfiable 0.18s 0.37s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GRP159-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.32  % Computer : n013.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.32  % CPULimit : 300
% 0.18/0.32  % WCLimit  : 300
% 0.18/0.32  % DateTime : Mon Aug 28 23:11:32 EDT 2023
% 0.18/0.32  % CPUTime  : 
% 0.18/0.37  Command-line arguments: --no-flatten-goal
% 0.18/0.37  
% 0.18/0.37  % SZS status Unsatisfiable
% 0.18/0.37  
% 0.18/0.37  % SZS output start Proof
% 0.18/0.37  Axiom 1 (symmetry_of_glb): greatest_lower_bound(X, Y) = greatest_lower_bound(Y, X).
% 0.18/0.37  Axiom 2 (ax_mono2c_1): greatest_lower_bound(a, b) = a.
% 0.18/0.37  Axiom 3 (symmetry_of_lub): least_upper_bound(X, Y) = least_upper_bound(Y, X).
% 0.18/0.37  Axiom 4 (lub_absorbtion): least_upper_bound(X, greatest_lower_bound(X, Y)) = X.
% 0.18/0.37  Axiom 5 (monotony_lub1): multiply(X, least_upper_bound(Y, Z)) = least_upper_bound(multiply(X, Y), multiply(X, Z)).
% 0.18/0.37  
% 0.18/0.37  Goal 1 (prove_ax_mono2c): least_upper_bound(multiply(c, a), multiply(c, b)) = multiply(c, b).
% 0.18/0.37  Proof:
% 0.18/0.37    least_upper_bound(multiply(c, a), multiply(c, b))
% 0.18/0.37  = { by axiom 5 (monotony_lub1) R->L }
% 0.18/0.37    multiply(c, least_upper_bound(a, b))
% 0.18/0.37  = { by axiom 3 (symmetry_of_lub) R->L }
% 0.18/0.37    multiply(c, least_upper_bound(b, a))
% 0.18/0.37  = { by axiom 2 (ax_mono2c_1) R->L }
% 0.18/0.37    multiply(c, least_upper_bound(b, greatest_lower_bound(a, b)))
% 0.18/0.37  = { by axiom 1 (symmetry_of_glb) R->L }
% 0.18/0.37    multiply(c, least_upper_bound(b, greatest_lower_bound(b, a)))
% 0.18/0.37  = { by axiom 4 (lub_absorbtion) }
% 0.18/0.37    multiply(c, b)
% 0.18/0.37  % SZS output end Proof
% 0.18/0.37  
% 0.18/0.37  RESULT: Unsatisfiable (the axioms are contradictory).
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