%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR042+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 09:40:54 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR042+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:21:18 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.26 Command-line arguments: --flatten --complete-subsets
% 0.08/0.26
% 0.08/0.26 % SZS status Theorem
% 0.08/0.26
% 0.08/0.26 % SZS output start Proof
% 0.08/0.26 Axiom 1 (just25): mtvisible(c_basekb) = true.
% 0.08/0.26 Axiom 2 (query42): mtvisible(c_tptpgeo_member7_mt) = true.
% 0.08/0.26 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.08/0.26 Axiom 4 (just1): ifeq(mtvisible(c_tptpgeo_member7_mt), true, borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), true) = true.
% 0.08/0.26 Axiom 5 (just28): ifeq(borderson(X, Y), true, borderson(Y, X), true) = true.
% 0.08/0.26
% 0.08/0.26 Lemma 6: mtvisible(c_tptpgeo_member7_mt) = mtvisible(c_basekb).
% 0.08/0.26 Proof:
% 0.08/0.26 mtvisible(c_tptpgeo_member7_mt)
% 0.08/0.26 = { by axiom 2 (query42) }
% 0.08/0.26 true
% 0.08/0.26 = { by axiom 1 (just25) R->L }
% 0.08/0.26 mtvisible(c_basekb)
% 0.08/0.26
% 0.08/0.26 Goal 1 (query42_1): borderson(X, c_georegion_l4_x27_y64) = true.
% 0.08/0.26 The goal is true when:
% 0.08/0.26 X = c_georegion_l4_x27_y65
% 0.08/0.26
% 0.08/0.26 Proof:
% 0.08/0.26 borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64)
% 0.08/0.26 = { by axiom 3 (ifeq_axiom) R->L }
% 0.08/0.26 ifeq(mtvisible(c_tptpgeo_member7_mt), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by lemma 6 }
% 0.08/0.26 ifeq(mtvisible(c_basekb), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by axiom 1 (just25) }
% 0.08/0.26 ifeq(true, mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by axiom 4 (just1) R->L }
% 0.08/0.26 ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), true), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by axiom 1 (just25) R->L }
% 0.08/0.26 ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), mtvisible(c_basekb)), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by axiom 1 (just25) R->L }
% 0.08/0.26 ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), mtvisible(c_basekb), borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), mtvisible(c_basekb)), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by lemma 6 R->L }
% 0.08/0.26 ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), mtvisible(c_basekb), borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), mtvisible(c_tptpgeo_member7_mt)), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by lemma 6 R->L }
% 0.08/0.26 ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), mtvisible(c_tptpgeo_member7_mt)), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by axiom 3 (ifeq_axiom) }
% 0.08/0.26 ifeq(borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), mtvisible(c_tptpgeo_member7_mt), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by lemma 6 }
% 0.08/0.26 ifeq(borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), mtvisible(c_basekb), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_tptpgeo_member7_mt))
% 0.08/0.26 = { by lemma 6 }
% 0.08/0.26 ifeq(borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), mtvisible(c_basekb), borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_basekb))
% 0.08/0.26 = { by axiom 1 (just25) }
% 0.08/0.26 ifeq(borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), true, borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), mtvisible(c_basekb))
% 0.08/0.26 = { by axiom 1 (just25) }
% 0.08/0.26 ifeq(borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), true, borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), true)
% 0.08/0.26 = { by axiom 5 (just28) }
% 0.08/0.26 true
% 0.08/0.26 = { by axiom 1 (just25) R->L }
% 0.08/0.26 mtvisible(c_basekb)
% 0.08/0.26 = { by lemma 6 R->L }
% 0.08/0.26 mtvisible(c_tptpgeo_member7_mt)
% 0.08/0.26 = { by lemma 6 }
% 0.08/0.26 mtvisible(c_basekb)
% 0.08/0.26 = { by axiom 1 (just25) }
% 0.08/0.26 true
% 0.08/0.26 % SZS output end Proof
% 0.08/0.26
% 0.08/0.26 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------