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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n018.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 11:50:10 AM UTC 2026

% Result   : Theorem 0.09s 0.44s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n018.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 27 16:17:08 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.44  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.09/0.44  
% 0.09/0.44  % SZS status Theorem
% 0.09/0.44  
% 0.09/0.44  % SZS output start Proof
% 0.09/0.44  Axiom 1 (main_2): p101(y) = true.
% 0.09/0.44  Axiom 2 (main_1): p201(y) = true.
% 0.09/0.44  Axiom 3 (main): r1(x, y) = true.
% 0.09/0.44  
% 0.09/0.44  Goal 1 (main_3): tuple(r1(x, X), p201(X), p101(X)) = tuple(true, true, true).
% 0.09/0.44  The goal is true when:
% 0.09/0.44    X = y
% 0.09/0.44  
% 0.09/0.44  Proof:
% 0.09/0.44    tuple(r1(x, y), p201(y), p101(y))
% 0.09/0.44  = { by axiom 1 (main_2) }
% 0.09/0.44    tuple(r1(x, y), p201(y), true)
% 0.09/0.44  = { by axiom 3 (main) }
% 0.09/0.44    tuple(true, p201(y), true)
% 0.09/0.44  = { by axiom 2 (main_1) }
% 0.09/0.44    tuple(true, true, true)
% 0.09/0.44  % SZS output end Proof
% 0.09/0.44  
% 0.09/0.44  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------