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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : CSR047+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.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 09:40:56 AM UTC 2026

% Result   : Theorem 0.36s 0.44s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR047+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.27  % Computer : n016.cluster.edu
% 0.11/0.27  % Model    : x86_64 x86_64
% 0.11/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27  % Memory   : 8046.5625MB
% 0.11/0.27  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Mon Sep 28 22:21:33 UTC 2026
% 0.11/0.28  % CPUTime  : 
% 0.11/0.28  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.44  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 0.36/0.44  
% 0.36/0.44  % SZS status Theorem
% 0.36/0.44  
% 0.36/0.44  % SZS output start Proof
% 0.36/0.44  Axiom 1 (query47): mtvisible(c_tptpgeo_member4_mt) = true.
% 0.36/0.44  Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.36/0.44  Axiom 3 (just1): ifeq(mtvisible(c_tptpgeo_member4_mt), true, borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50), true) = true.
% 0.36/0.44  Axiom 4 (just28): ifeq(borderson(X, Y), true, borderson(Y, X), true) = true.
% 0.36/0.44  
% 0.36/0.44  Goal 1 (query47_1): borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50) = true.
% 0.36/0.44  Proof:
% 0.36/0.44    borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50)
% 0.36/0.44  = { by axiom 2 (ifeq_axiom) R->L }
% 0.36/0.44    ifeq(true, true, borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50), true)
% 0.36/0.44  = { by axiom 3 (just1) R->L }
% 0.36/0.44    ifeq(ifeq(mtvisible(c_tptpgeo_member4_mt), true, borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50), true), true, borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50), true)
% 0.36/0.44  = { by axiom 1 (query47) }
% 0.36/0.44    ifeq(ifeq(true, true, borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50), true), true, borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50), true)
% 0.36/0.44  = { by axiom 2 (ifeq_axiom) }
% 0.36/0.44    ifeq(borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50), true, borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50), true)
% 0.36/0.44  = { by axiom 4 (just28) }
% 0.36/0.44    true
% 0.36/0.44  % SZS output end Proof
% 0.36/0.44  
% 0.36/0.44  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------