%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR067+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 09:41:06 AM UTC 2026
% Result : Theorem 0.25s 0.38s
% Output : Proof 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR067+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 : n007.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 22:20:55 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.38 Command-line arguments: --no-flatten-goal
% 0.25/0.38
% 0.25/0.38 % SZS status Theorem
% 0.25/0.38
% 0.25/0.38 % SZS output start Proof
% 0.25/0.38 Axiom 1 (query67): mtvisible(c_tptpgeo_member7_mt) = true.
% 0.25/0.38 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.25/0.38 Axiom 3 (just1): ifeq(mtvisible(c_tptpgeo_member7_mt), true, borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76), true) = true.
% 0.25/0.38 Axiom 4 (just28): ifeq(borderson(X, Y), true, borderson(Y, X), true) = true.
% 0.25/0.38
% 0.25/0.38 Goal 1 (query67_1): borderson(X, c_georegion_l4_x29_y75) = true.
% 0.25/0.38 The goal is true when:
% 0.25/0.38 X = c_georegion_l4_x29_y76
% 0.25/0.38
% 0.25/0.38 Proof:
% 0.25/0.38 borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75)
% 0.25/0.38 = { by axiom 2 (ifeq_axiom) R->L }
% 0.25/0.38 ifeq(true, true, borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75), true)
% 0.25/0.38 = { by axiom 3 (just1) R->L }
% 0.25/0.38 ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76), true), true, borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75), true)
% 0.25/0.38 = { by axiom 1 (query67) }
% 0.25/0.38 ifeq(ifeq(true, true, borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76), true), true, borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75), true)
% 0.25/0.38 = { by axiom 2 (ifeq_axiom) }
% 0.25/0.38 ifeq(borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76), true, borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75), true)
% 0.25/0.38 = { by axiom 4 (just28) }
% 0.25/0.38 true
% 0.25/0.38 % SZS output end Proof
% 0.25/0.38
% 0.25/0.38 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------