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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : SET940+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:39:22 PM UTC 2026

% Result   : Theorem 0.11s 0.45s
% Output   : Proof 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET940+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38  % Computer : n011.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 03:15:46 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45  Command-line arguments: --no-flatten-goal
% 0.11/0.45  
% 0.11/0.45  % SZS status Theorem
% 0.11/0.45  
% 0.11/0.45  % SZS output start Proof
% 0.11/0.45  Axiom 1 (l52_zfmisc_1): union(unordered_pair(X, Y)) = set_union2(X, Y).
% 0.11/0.45  
% 0.11/0.45  Goal 1 (t93_zfmisc_1): union(unordered_pair(a, b)) = set_union2(a, b).
% 0.11/0.45  Proof:
% 0.11/0.45    union(unordered_pair(a, b))
% 0.11/0.45  = { by axiom 1 (l52_zfmisc_1) }
% 0.11/0.45    set_union2(a, b)
% 0.11/0.45  % SZS output end Proof
% 0.11/0.45  
% 0.11/0.45  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------