%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR057+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 09:41:01 AM UTC 2026
% Result : Theorem 119.75s 15.21s
% Output : Proof 119.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR057+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.13 % Computer : n012.cluster.edu
% 0.03/0.13 % Model : x86_64 x86_64
% 0.03/0.13 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.13 % Memory : 8046.5625MB
% 0.03/0.13 % OS : Linux 6.8.0-71-generic
% 0.03/0.13 % CPULimit : 300
% 0.03/0.13 % WCLimit : 300
% 0.03/0.13 % DateTime : Mon Sep 28 22:20:18 UTC 2026
% 0.03/0.13 % CPUTime :
% 0.03/0.13 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 119.75/15.21 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 119.75/15.21
% 119.75/15.21 % SZS status Theorem
% 119.75/15.21
% 119.75/15.22 % SZS output start Proof
% 119.75/15.22 Axiom 1 (query107): mtvisible(c_tptpgeo_member8_mt) = true.
% 119.75/15.22 Axiom 2 (ax1_326): genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = true.
% 119.75/15.22 Axiom 3 (ax1_1): genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = true.
% 119.75/15.22 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 119.75/15.22 Axiom 5 (ax1_464): ifeq(mtvisible(c_worldgeographymt), true, geolevel_4(c_georegion_l4_x75_y75), true) = true.
% 119.75/15.22 Axiom 6 (ax1_462): ifeq(geolevel_4(X), true, geographicalregion(X), true) = true.
% 119.75/15.22 Axiom 7 (ax1_1042): ifeq(geographicalregion(X), true, geographicalsubregions(X, X), true) = true.
% 119.75/15.22 Axiom 8 (ax1_128): ifeq(geographicalsubregions(X, Y), true, inregion(Y, X), true) = true.
% 119.75/15.22 Axiom 9 (ax1_1123): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 119.75/15.22
% 119.75/15.22 Goal 1 (query107_1): inregion(X, c_georegion_l4_x75_y75) = true.
% 119.75/15.22 The goal is true when:
% 119.75/15.22 X = c_georegion_l4_x75_y75
% 119.75/15.22
% 119.75/15.22 Proof:
% 119.75/15.22 inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 119.75/15.22 = { by axiom 4 (ifeq_axiom) R->L }
% 119.75/15.22 ifeq(true, true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 7 (ax1_1042) R->L }
% 119.75/15.22 ifeq(ifeq(geographicalregion(c_georegion_l4_x75_y75), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 4 (ifeq_axiom) R->L }
% 119.75/15.22 ifeq(ifeq(ifeq(true, true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 5 (ax1_464) R->L }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(mtvisible(c_worldgeographymt), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 4 (ifeq_axiom) R->L }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_worldgeographymt), true), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 4 (ifeq_axiom) R->L }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 9 (ax1_1123) R->L }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_member8_mt), true, ifeq(genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true, mtvisible(c_tptpgeo_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 3 (ax1_1) }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_member8_mt), true, ifeq(true, true, mtvisible(c_tptpgeo_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 1 (query107) }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptpgeo_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 4 (ifeq_axiom) }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptpgeo_spindleheadmt), true), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 4 (ifeq_axiom) }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_spindleheadmt), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 2 (ax1_326) R->L }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_spindleheadmt), true, ifeq(genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt), true, mtvisible(c_worldgeographymt), true), true), true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 9 (ax1_1123) }
% 119.75/15.22 ifeq(ifeq(ifeq(ifeq(true, true, geolevel_4(c_georegion_l4_x75_y75), true), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 4 (ifeq_axiom) }
% 119.75/15.22 ifeq(ifeq(ifeq(geolevel_4(c_georegion_l4_x75_y75), true, geographicalregion(c_georegion_l4_x75_y75), true), true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 6 (ax1_462) }
% 119.75/15.22 ifeq(ifeq(true, true, geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 4 (ifeq_axiom) }
% 119.75/15.22 ifeq(geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true, inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true)
% 119.75/15.22 = { by axiom 8 (ax1_128) }
% 119.75/15.22 true
% 119.75/15.22 % SZS output end Proof
% 119.75/15.22
% 119.75/15.22 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------