%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP136-1 : 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 : n016.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 01:17:18 EDT 2023

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP136-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 03:08:15 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.40  Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.13/0.40  
% 0.13/0.40  % SZS status Unsatisfiable
% 0.13/0.40  
% 0.13/0.40  % SZS output start Proof
% 0.13/0.40  Axiom 1 (ax_antisyma_2): least_upper_bound(a, b) = a.
% 0.13/0.40  Axiom 2 (ax_antisyma_1): least_upper_bound(a, b) = b.
% 0.13/0.40  
% 0.13/0.40  Goal 1 (prove_ax_antisyma): a = b.
% 0.13/0.40  Proof:
% 0.13/0.40    a
% 0.13/0.40  = { by axiom 1 (ax_antisyma_2) R->L }
% 0.13/0.40    least_upper_bound(a, b)
% 0.13/0.40  = { by axiom 2 (ax_antisyma_1) }
% 0.13/0.40    b
% 0.13/0.40  % SZS output end Proof
% 0.13/0.40  
% 0.13/0.40  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------