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G4Plus---1.5.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : G4Plus---1.5.2
% Problem  : SEU257+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n029.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 : Tue May 12 07:11:59 PM UTC 2026

% Result   : Theorem 0.53s 1.37s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU257+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.13  % Command  : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34  % Computer : n029.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon May 11 13:47:30 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.53/1.37  % SZS status Theorem
% 0.53/1.38  % SZS output start Proof
% 0.53/1.38  
% 0.53/1.38  ===============================================================
% 0.53/1.38  TPTP Problem: t32_wellord1 (conjecture with 12 axiom(s))
% 0.53/1.38    Axioms: [commutativity_k3_xboole_0,d4_wellord1,d6_wellord1,dt_k2_wellord1,dt_k2_zfmisc_1,dt_k3_xboole_0,idempotence_k3_xboole_0,t22_wellord1,t23_wellord1,t24_wellord1,t25_wellord1,t31_wellord1]
% 0.53/1.38  ===============================================================
% 0.53/1.38  
% 0.53/1.38  Combined formula: 12 axiom(s) => conjecture
% 0.53/1.38  
% 0.53/1.38  % Equality/functions detected -> nanoCoP oracle mode
% 0.53/1.38  nanoCoP : 
% 0.53/1.38  % 14,135 inferences, 0.008 CPU in 0.008 seconds (100% CPU, 1778971 Lips)
% 0.53/1.38  
% 0.53/1.38  % nanoCoP proof (equality/functions)
% 0.53/1.38  % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula).
% 0.53/1.38  
% 0.53/1.38  % SZS output end Proof
%------------------------------------------------------------------------------