%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR042+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 18.08s 2.54s
% Output : Proof 18.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR042+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n026.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 22:18:11 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.08/2.54 Command-line arguments: --stitch /export/starexec/sandbox/solver/bin/stitch --hint-skel-cost 0 --hint-skel-factor 0.5
% 18.08/2.54
% 18.08/2.54 % SZS status Theorem
% 18.08/2.54
% 18.08/2.54 % SZS output start Proof
% 18.08/2.54 Axiom 1 (query92): mtvisible(c_tptpgeo_member7_mt) = true.
% 18.08/2.54 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 18.08/2.54 Axiom 3 (ax1_122): ifeq(mtvisible(c_tptpgeo_member7_mt), true, borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), true) = true.
% 18.08/2.54 Axiom 4 (ax1_900): ifeq(borderson(X, Y), true, borderson(Y, X), true) = true.
% 18.08/2.54
% 18.08/2.54 Goal 1 (query92_1): borderson(X, c_georegion_l4_x27_y64) = true.
% 18.08/2.54 The goal is true when:
% 18.08/2.54 X = c_georegion_l4_x27_y65
% 18.08/2.54
% 18.08/2.54 Proof:
% 18.08/2.54 borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64)
% 18.08/2.54 = { by axiom 2 (ifeq_axiom) R->L }
% 18.08/2.54 ifeq(true, true, borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), true)
% 18.08/2.54 = { by axiom 3 (ax1_122) R->L }
% 18.08/2.54 ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), true), true, borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), true)
% 18.08/2.54 = { by axiom 1 (query92) }
% 18.08/2.54 ifeq(ifeq(true, true, borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), true), true, borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), true)
% 18.08/2.54 = { by axiom 2 (ifeq_axiom) }
% 18.08/2.54 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)
% 18.08/2.54 = { by axiom 4 (ax1_900) }
% 18.08/2.54 true
% 18.08/2.54 % SZS output end Proof
% 18.08/2.54
% 18.08/2.54 RESULT: Theorem (the conjecture is true).
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