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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : CSR059+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.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 09:41:02 AM UTC 2026

% Result   : Theorem 31.25s 4.40s
% Output   : Proof 31.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR059+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.28  % Computer : n004.cluster.edu
% 0.12/0.28  % Model    : x86_64 x86_64
% 0.12/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28  % Memory   : 8046.5625MB
% 0.12/0.28  % OS       : Linux 6.8.0-71-generic
% 0.12/0.28  % CPULimit : 300
% 0.12/0.28  % WCLimit  : 300
% 0.12/0.28  % DateTime : Mon Sep 28 22:21:22 UTC 2026
% 0.12/0.28  % CPUTime  : 
% 0.12/0.28  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.25/4.40  Command-line arguments: --flatten-regeneralise
% 31.25/4.40  
% 31.25/4.40  % SZS status Theorem
% 31.25/4.40  
% 31.25/4.40  % SZS output start Proof
% 31.25/4.40  Axiom 1 (query109): mtvisible(c_tptpgeo_spindlecollectormt) = true.
% 31.25/4.40  Axiom 2 (ax1_407): genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt) = true.
% 31.25/4.40  Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 31.25/4.40  Axiom 4 (ax1_104): ifeq(mtvisible(c_tptpgeo_member5_mt), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true) = true.
% 31.25/4.40  Axiom 5 (ax1_900): ifeq(borderson(X, Y), true, borderson(Y, X), true) = true.
% 31.25/4.40  Axiom 6 (ax1_1123): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 31.25/4.40  
% 31.25/4.40  Goal 1 (query109_1): borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47) = true.
% 31.25/4.40  Proof:
% 31.25/4.40    borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47)
% 31.25/4.40  = { by axiom 3 (ifeq_axiom) R->L }
% 31.25/4.40    ifeq(true, true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 31.25/4.40  = { by axiom 4 (ax1_104) R->L }
% 31.25/4.40    ifeq(ifeq(mtvisible(c_tptpgeo_member5_mt), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 31.25/4.40  = { by axiom 3 (ifeq_axiom) R->L }
% 31.25/4.40    ifeq(ifeq(ifeq(true, true, mtvisible(c_tptpgeo_member5_mt), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 31.25/4.40  = { by axiom 3 (ifeq_axiom) R->L }
% 31.25/4.40    ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptpgeo_member5_mt), true), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 31.25/4.40  = { by axiom 1 (query109) R->L }
% 31.25/4.40    ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_spindlecollectormt), true, ifeq(true, true, mtvisible(c_tptpgeo_member5_mt), true), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 31.25/4.40  = { by axiom 2 (ax1_407) R->L }
% 31.25/4.40    ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_spindlecollectormt), true, ifeq(genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt), true, mtvisible(c_tptpgeo_member5_mt), true), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 31.25/4.40  = { by axiom 6 (ax1_1123) }
% 31.25/4.40    ifeq(ifeq(true, true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 31.25/4.40  = { by axiom 3 (ifeq_axiom) }
% 31.25/4.40    ifeq(borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 31.25/4.40  = { by axiom 5 (ax1_900) }
% 31.25/4.40    true
% 31.25/4.40  % SZS output end Proof
% 31.25/4.40  
% 31.25/4.40  RESULT: Theorem (the conjecture is true).
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