%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP189-2 : 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 : n003.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 01:17:42 EDT 2023

% Result   : Unsatisfiable 0.19s 0.38s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP189-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 01:05:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.38  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.19/0.38  
% 0.19/0.38  % SZS status Unsatisfiable
% 0.19/0.38  
% 0.19/0.38  % SZS output start Proof
% 0.19/0.38  Axiom 1 (symmetry_of_lub): least_upper_bound(X, Y) = least_upper_bound(Y, X).
% 0.19/0.38  Axiom 2 (glb_absorbtion): greatest_lower_bound(X, least_upper_bound(X, Y)) = X.
% 0.19/0.38  
% 0.19/0.38  Goal 1 (prove_p38b): greatest_lower_bound(b, least_upper_bound(a, b)) = b.
% 0.19/0.38  Proof:
% 0.19/0.38    greatest_lower_bound(b, least_upper_bound(a, b))
% 0.19/0.38  = { by axiom 1 (symmetry_of_lub) }
% 0.19/0.38    greatest_lower_bound(b, least_upper_bound(b, a))
% 0.19/0.38  = { by axiom 2 (glb_absorbtion) }
% 0.19/0.38    b
% 0.19/0.38  % SZS output end Proof
% 0.19/0.38  
% 0.19/0.38  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------