%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR037+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 09:40:51 AM UTC 2026
% Result : Theorem 0.10s 0.28s
% Output : Proof 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.15 % Computer : n001.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Mon Sep 28 22:19:48 UTC 2026
% 0.10/0.15 % CPUTime :
% 0.10/0.15 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.28 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
% 0.10/0.28
% 0.10/0.28 % SZS status Theorem
% 0.10/0.28
% 0.10/0.28 % SZS output start Proof
% 0.10/0.28 Axiom 1 (query37): mtvisible(c_tptpgeo_member7_mt) = true.
% 0.10/0.28 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.10/0.28 Axiom 3 (just12): ifeq(mtvisible(c_tptpgeo_member7_mt), true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24), true) = true.
% 0.10/0.28 Axiom 4 (just13): ifeq(mtvisible(c_tptpgeo_member7_mt), true, geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), true) = true.
% 0.10/0.28 Axiom 5 (just34): ifeq(geographicalsubregions(X, Y), true, ifeq(geographicalsubregions(Z, X), true, geographicalsubregions(Z, Y), true), true) = true.
% 0.10/0.28
% 0.10/0.28 Goal 1 (query37_1): geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72) = true.
% 0.10/0.28 Proof:
% 0.10/0.28 geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72)
% 0.10/0.28 = { by axiom 2 (ifeq_axiom) R->L }
% 0.10/0.28 ifeq(true, true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), true)
% 0.10/0.28 = { by axiom 4 (just13) R->L }
% 0.10/0.28 ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), true), true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), true)
% 0.10/0.28 = { by axiom 1 (query37) }
% 0.10/0.28 ifeq(ifeq(true, true, geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), true), true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), true)
% 0.10/0.28 = { by axiom 2 (ifeq_axiom) }
% 0.10/0.28 ifeq(geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), true)
% 0.10/0.28 = { by axiom 2 (ifeq_axiom) R->L }
% 0.10/0.28 ifeq(geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), true, ifeq(true, true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), true), true)
% 0.10/0.28 = { by axiom 3 (just12) R->L }
% 0.10/0.28 ifeq(geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), true, ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24), true), true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), true), true)
% 0.10/0.28 = { by axiom 1 (query37) }
% 0.10/0.28 ifeq(geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), true, ifeq(ifeq(true, true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24), true), true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), true), true)
% 0.10/0.28 = { by axiom 2 (ifeq_axiom) }
% 0.10/0.28 ifeq(geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), true, ifeq(geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24), true, geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), true), true)
% 0.10/0.28 = { by axiom 5 (just34) }
% 0.10/0.28 true
% 0.10/0.28 % SZS output end Proof
% 0.10/0.28
% 0.10/0.28 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------