%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR074+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 09:41:10 AM UTC 2026
% Result : Theorem 0.62s 0.30s
% Output : Proof 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR074+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n007.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 22:23:25 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.30 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.62/0.30
% 0.62/0.30 % SZS status Theorem
% 0.62/0.30
% 0.62/0.30 % SZS output start Proof
% 0.62/0.30 Axiom 1 (query74): mtvisible(c_tptpgeo_member7_mt) = true.
% 0.62/0.30 Axiom 2 (just9): genlmt(c_tptpgeo_member7_mt, c_tptpgeo_spindleheadmt) = true.
% 0.62/0.30 Axiom 3 (just8): genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = true.
% 0.62/0.30 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.62/0.30 Axiom 5 (just10): ifeq(mtvisible(c_worldgeographymt), true, geolevel_3(c_georegion_l3_x17_y24), true) = true.
% 0.62/0.30 Axiom 6 (just12): ifeq(mtvisible(c_tptpgeo_member7_mt), true, inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74), true) = true.
% 0.62/0.30 Axiom 7 (just11): ifeq(mtvisible(c_tptpgeo_member7_mt), true, geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74), true) = true.
% 0.62/0.30 Axiom 8 (just5): ifeq(geographicalsubregions(X, Y), true, inregion(Y, X), true) = true.
% 0.62/0.30 Axiom 9 (just49): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 0.62/0.30 Axiom 10 (just41): ifeq(inregion(X, Y), true, ifeq(inregion(Z, X), true, inregion(Z, Y), true), true) = true.
% 0.62/0.30
% 0.62/0.30 Goal 1 (query74_1): tuple2(inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), geolevel_3(c_georegion_l3_x17_y24)) = tuple2(true, true).
% 0.62/0.30 Proof:
% 0.62/0.30 tuple2(inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) R->L }
% 0.62/0.30 tuple2(ifeq(true, true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 8 (just5) R->L }
% 0.62/0.30 tuple2(ifeq(ifeq(geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74), true, inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true), true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) R->L }
% 0.62/0.30 tuple2(ifeq(ifeq(ifeq(true, true, geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74), true), true, inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true), true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 1 (query74) R->L }
% 0.62/0.30 tuple2(ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74), true), true, inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true), true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 7 (just11) }
% 0.62/0.30 tuple2(ifeq(ifeq(true, true, inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true), true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) }
% 0.62/0.30 tuple2(ifeq(inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) R->L }
% 0.62/0.30 tuple2(ifeq(inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true, ifeq(true, true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 6 (just12) R->L }
% 0.62/0.30 tuple2(ifeq(inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true, ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74), true), true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 1 (query74) }
% 0.62/0.30 tuple2(ifeq(inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true, ifeq(ifeq(true, true, inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74), true), true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) }
% 0.62/0.30 tuple2(ifeq(inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), true, ifeq(inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74), true, inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24), true), true), geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 10 (just41) }
% 0.62/0.30 tuple2(true, geolevel_3(c_georegion_l3_x17_y24))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) R->L }
% 0.62/0.30 tuple2(true, ifeq(true, true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 9 (just49) R->L }
% 0.62/0.30 tuple2(true, ifeq(ifeq(mtvisible(c_tptpgeo_spindleheadmt), true, ifeq(genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt), true, mtvisible(c_worldgeographymt), true), true), true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 3 (just8) }
% 0.62/0.30 tuple2(true, ifeq(ifeq(mtvisible(c_tptpgeo_spindleheadmt), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) R->L }
% 0.62/0.30 tuple2(true, ifeq(ifeq(ifeq(true, true, mtvisible(c_tptpgeo_spindleheadmt), true), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) R->L }
% 0.62/0.30 tuple2(true, 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_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 1 (query74) R->L }
% 0.62/0.30 tuple2(true, ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, ifeq(true, true, mtvisible(c_tptpgeo_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 2 (just9) R->L }
% 0.62/0.30 tuple2(true, ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_member7_mt), true, ifeq(genlmt(c_tptpgeo_member7_mt, c_tptpgeo_spindleheadmt), true, mtvisible(c_tptpgeo_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 9 (just49) }
% 0.62/0.30 tuple2(true, ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_worldgeographymt), true), true), true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) }
% 0.62/0.30 tuple2(true, ifeq(ifeq(true, true, mtvisible(c_worldgeographymt), true), true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 4 (ifeq_axiom) }
% 0.62/0.30 tuple2(true, ifeq(mtvisible(c_worldgeographymt), true, geolevel_3(c_georegion_l3_x17_y24), true))
% 0.62/0.30 = { by axiom 5 (just10) }
% 0.62/0.30 tuple2(true, true)
% 0.62/0.30 % SZS output end Proof
% 0.62/0.30
% 0.62/0.30 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------