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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : SYN362+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 01:47:39 PM UTC 2026

% Result   : Theorem 0.06s 0.26s
% Output   : Proof 0.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN362+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.18  % Computer : n010.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 15:49:02 UTC 2026
% 0.06/0.19  % CPUTime  : 
% 0.06/0.19  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.26  Command-line arguments: --no-flatten-goal
% 0.06/0.26  
% 0.06/0.26  % SZS status Theorem
% 0.06/0.26  
% 0.06/0.26  % SZS output start Proof
% 0.06/0.27  Axiom 1 (x2113_1): big_p(X) = true.
% 0.06/0.27  Axiom 2 (x2113): big_r(X, w(X)) = true.
% 0.06/0.27  
% 0.06/0.27  Goal 1 (x2113_2): tuple(big_r(z, X), big_p(X)) = tuple(true, true).
% 0.06/0.27  The goal is true when:
% 0.06/0.27    X = w(z)
% 0.06/0.27  
% 0.06/0.27  Proof:
% 0.06/0.27    tuple(big_r(z, w(z)), big_p(w(z)))
% 0.06/0.27  = { by axiom 1 (x2113_1) }
% 0.06/0.27    tuple(big_r(z, w(z)), true)
% 0.06/0.27  = { by axiom 2 (x2113) }
% 0.06/0.27    tuple(true, true)
% 0.06/0.27  % SZS output end Proof
% 0.06/0.27  
% 0.06/0.27  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------