%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR033+1 : TPTP v9.2.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:46:05 PM UTC 2025 % Result : Theorem 4.66s 4.94s % Output : Proof 4.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR033+1 : TPTP v9.2.0. Released v3.4.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 19:19:23 EDT 2025 % 0.13/0.34 % CPUTime : % 4.66/4.94 SZS status Theorem for theBenchmark.p % 4.66/4.94 SZS output start Proof for theBenchmark.p % 4.66/4.94 Clause #4 (by assumption #[]): Eq (∀ (ARG1 ARG2 : Iota), geographicalsubregions ARG1 ARG2 → inregion ARG2 ARG1) True % 4.66/4.94 Clause #7 (by assumption #[]): Eq (genlmt c_tptpgeo_spindleheadmt c_worldgeographymt) True % 4.66/4.94 Clause #8 (by assumption #[]): Eq (genlmt c_tptpgeo_spindlecollectormt c_tptpgeo_member2_mt) True % 4.66/4.94 Clause #9 (by assumption #[]): Eq (genlmt c_tptpgeo_member8_mt c_tptpgeo_spindleheadmt) True % 4.66/4.94 Clause #10 (by assumption #[]): Eq (genlmt c_tptpgeo_spindlecollectormt c_tptpgeo_member8_mt) True % 4.66/4.94 Clause #11 (by assumption #[]): Eq (mtvisible c_worldgeographymt → geolevel_1 c_georegion_l1_x2_y0) True % 4.66/4.94 Clause #12 (by assumption #[]): Eq (mtvisible c_tptpgeo_member2_mt → geographicalsubregions c_georegion_l1_x2_y0 c_georegion_l2_x8_y2) True % 4.66/4.94 Clause #13 (by assumption #[]): Eq (mtvisible c_tptpgeo_member2_mt → geographicalsubregions c_georegion_l2_x8_y2 c_georegion_l3_x25_y7) True % 4.66/4.94 Clause #14 (by assumption #[]): Eq (mtvisible c_tptpgeo_member2_mt → geographicalsubregions c_georegion_l3_x25_y7 c_georegion_l4_x76_y23) True % 4.66/4.94 Clause #15 (by assumption #[]): Eq (mtvisible c_tptpgeo_member2_mt → inregion c_geolocation_x76_y23 c_georegion_l4_x76_y23) True % 4.66/4.94 Clause #31 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (geographicalsubregions X Y) (geographicalsubregions Y Z) → geographicalsubregions X Z) True % 4.66/4.94 Clause #41 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (inregion X Y) (inregion Y Z) → inregion X Z) True % 4.66/4.94 Clause #47 (by assumption #[]): Eq (∀ (SPECMT GENLMT : Iota), And (mtvisible SPECMT) (genlmt SPECMT GENLMT) → mtvisible GENLMT) True % 4.66/4.94 Clause #53 (by assumption #[]): Eq % 4.66/4.94 (Not % 4.66/4.94 (mtvisible c_tptpgeo_spindlecollectormt → % 4.66/4.94 And (inregion c_geolocation_x76_y23 c_georegion_l1_x2_y0) (geolevel_1 c_georegion_l1_x2_y0))) % 4.66/4.94 True % 4.66/4.94 Clause #54 (by clausification #[11]): Or (Eq (mtvisible c_worldgeographymt) False) (Eq (geolevel_1 c_georegion_l1_x2_y0) True) % 4.66/4.94 Clause #55 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (ARG2 : Iota), geographicalsubregions a ARG2 → inregion ARG2 a) True % 4.66/4.94 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota), Eq (geographicalsubregions a a_1 → inregion a_1 a) True % 4.66/4.94 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota), Or (Eq (geographicalsubregions a a_1) False) (Eq (inregion a_1 a) True) % 4.66/4.94 Clause #58 (by clausification #[15]): Or (Eq (mtvisible c_tptpgeo_member2_mt) False) (Eq (inregion c_geolocation_x76_y23 c_georegion_l4_x76_y23) True) % 4.66/4.94 Clause #59 (by clausification #[13]): Or (Eq (mtvisible c_tptpgeo_member2_mt) False) % 4.66/4.94 (Eq (geographicalsubregions c_georegion_l2_x8_y2 c_georegion_l3_x25_y7) True) % 4.66/4.94 Clause #60 (by clausification #[12]): Or (Eq (mtvisible c_tptpgeo_member2_mt) False) % 4.66/4.94 (Eq (geographicalsubregions c_georegion_l1_x2_y0 c_georegion_l2_x8_y2) True) % 4.66/4.94 Clause #61 (by clausification #[14]): Or (Eq (mtvisible c_tptpgeo_member2_mt) False) % 4.66/4.94 (Eq (geographicalsubregions c_georegion_l3_x25_y7 c_georegion_l4_x76_y23) True) % 4.66/4.94 Clause #115 (by clausification #[47]): ∀ (a : Iota), Eq (∀ (GENLMT : Iota), And (mtvisible a) (genlmt a GENLMT) → mtvisible GENLMT) True % 4.66/4.94 Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota), Eq (And (mtvisible a) (genlmt a a_1) → mtvisible a_1) True % 4.66/4.94 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Or (Eq (And (mtvisible a) (genlmt a a_1)) False) (Eq (mtvisible a_1) True) % 4.66/4.94 Clause #118 (by clausification #[117]): ∀ (a a_1 : Iota), Or (Eq (mtvisible a) True) (Or (Eq (mtvisible a_1) False) (Eq (genlmt a_1 a) False)) % 4.66/4.94 Clause #188 (by clausification #[31]): ∀ (a : Iota), % 4.66/4.94 Eq (∀ (Y Z : Iota), And (geographicalsubregions a Y) (geographicalsubregions Y Z) → geographicalsubregions a Z) True % 4.66/4.94 Clause #189 (by clausification #[188]): ∀ (a a_1 : Iota), % 4.66/4.94 Eq (∀ (Z : Iota), And (geographicalsubregions a a_1) (geographicalsubregions a_1 Z) → geographicalsubregions a Z) True % 4.66/4.94 Clause #190 (by clausification #[189]): ∀ (a a_1 a_2 : Iota), % 4.66/4.94 Eq (And (geographicalsubregions a a_1) (geographicalsubregions a_1 a_2) → geographicalsubregions a a_2) True % 4.66/4.94 Clause #191 (by clausification #[190]): ∀ (a a_1 a_2 : Iota), % 4.75/4.95 Or (Eq (And (geographicalsubregions a a_1) (geographicalsubregions a_1 a_2)) False) % 4.75/4.95 (Eq (geographicalsubregions a a_2) True) % 4.75/4.95 Clause #192 (by clausification #[191]): ∀ (a a_1 a_2 : Iota), % 4.75/4.95 Or (Eq (geographicalsubregions a a_1) True) % 4.75/4.95 (Or (Eq (geographicalsubregions a a_2) False) (Eq (geographicalsubregions a_2 a_1) False)) % 4.75/4.95 Clause #229 (by clausification #[41]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (inregion a Y) (inregion Y Z) → inregion a Z) True % 4.75/4.95 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (inregion a a_1) (inregion a_1 Z) → inregion a Z) True % 4.75/4.95 Clause #231 (by clausification #[230]): ∀ (a a_1 a_2 : Iota), Eq (And (inregion a a_1) (inregion a_1 a_2) → inregion a a_2) True % 4.75/4.95 Clause #232 (by clausification #[231]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (inregion a a_1) (inregion a_1 a_2)) False) (Eq (inregion a a_2) True) % 4.75/4.95 Clause #233 (by clausification #[232]): ∀ (a a_1 a_2 : Iota), Or (Eq (inregion a a_1) True) (Or (Eq (inregion a a_2) False) (Eq (inregion a_2 a_1) False)) % 4.75/4.95 Clause #265 (by clausification #[53]): Eq % 4.75/4.95 (mtvisible c_tptpgeo_spindlecollectormt → % 4.75/4.95 And (inregion c_geolocation_x76_y23 c_georegion_l1_x2_y0) (geolevel_1 c_georegion_l1_x2_y0)) % 4.75/4.95 False % 4.75/4.95 Clause #266 (by clausification #[265]): Eq (mtvisible c_tptpgeo_spindlecollectormt) True % 4.75/4.95 Clause #267 (by clausification #[265]): Eq (And (inregion c_geolocation_x76_y23 c_georegion_l1_x2_y0) (geolevel_1 c_georegion_l1_x2_y0)) False % 4.75/4.95 Clause #268 (by superposition #[266, 118]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Or (Eq True False) (Eq (genlmt c_tptpgeo_spindlecollectormt a) False)) % 4.75/4.95 Clause #269 (by clausification #[267]): Or (Eq (inregion c_geolocation_x76_y23 c_georegion_l1_x2_y0) False) (Eq (geolevel_1 c_georegion_l1_x2_y0) False) % 4.75/4.95 Clause #270 (by clausification #[268]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Eq (genlmt c_tptpgeo_spindlecollectormt a) False) % 4.75/4.95 Clause #271 (by superposition #[270, 8]): Or (Eq (mtvisible c_tptpgeo_member2_mt) True) (Eq False True) % 4.75/4.95 Clause #272 (by superposition #[270, 10]): Or (Eq (mtvisible c_tptpgeo_member8_mt) True) (Eq False True) % 4.75/4.95 Clause #274 (by clausification #[272]): Eq (mtvisible c_tptpgeo_member8_mt) True % 4.75/4.95 Clause #275 (by superposition #[274, 118]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Or (Eq True False) (Eq (genlmt c_tptpgeo_member8_mt a) False)) % 4.75/4.95 Clause #277 (by clausification #[271]): Eq (mtvisible c_tptpgeo_member2_mt) True % 4.75/4.95 Clause #278 (by backward demodulation #[277, 58]): Or (Eq True False) (Eq (inregion c_geolocation_x76_y23 c_georegion_l4_x76_y23) True) % 4.75/4.95 Clause #279 (by backward demodulation #[277, 59]): Or (Eq True False) (Eq (geographicalsubregions c_georegion_l2_x8_y2 c_georegion_l3_x25_y7) True) % 4.75/4.95 Clause #280 (by backward demodulation #[277, 60]): Or (Eq True False) (Eq (geographicalsubregions c_georegion_l1_x2_y0 c_georegion_l2_x8_y2) True) % 4.75/4.95 Clause #281 (by backward demodulation #[277, 61]): Or (Eq True False) (Eq (geographicalsubregions c_georegion_l3_x25_y7 c_georegion_l4_x76_y23) True) % 4.75/4.95 Clause #283 (by clausification #[281]): Eq (geographicalsubregions c_georegion_l3_x25_y7 c_georegion_l4_x76_y23) True % 4.75/4.95 Clause #300 (by clausification #[280]): Eq (geographicalsubregions c_georegion_l1_x2_y0 c_georegion_l2_x8_y2) True % 4.75/4.95 Clause #304 (by superposition #[300, 192]): ∀ (a : Iota), % 4.75/4.95 Or (Eq (geographicalsubregions c_georegion_l1_x2_y0 a) True) % 4.75/4.95 (Or (Eq True False) (Eq (geographicalsubregions c_georegion_l2_x8_y2 a) False)) % 4.75/4.95 Clause #327 (by clausification #[279]): Eq (geographicalsubregions c_georegion_l2_x8_y2 c_georegion_l3_x25_y7) True % 4.75/4.95 Clause #332 (by clausification #[278]): Eq (inregion c_geolocation_x76_y23 c_georegion_l4_x76_y23) True % 4.75/4.95 Clause #335 (by superposition #[332, 233]): ∀ (a : Iota), % 4.75/4.95 Or (Eq (inregion c_geolocation_x76_y23 a) True) (Or (Eq True False) (Eq (inregion c_georegion_l4_x76_y23 a) False)) % 4.75/4.95 Clause #354 (by clausification #[275]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Eq (genlmt c_tptpgeo_member8_mt a) False) % 4.75/4.95 Clause #355 (by superposition #[354, 9]): Or (Eq (mtvisible c_tptpgeo_spindleheadmt) True) (Eq False True) % 4.75/4.97 Clause #356 (by clausification #[355]): Eq (mtvisible c_tptpgeo_spindleheadmt) True % 4.75/4.97 Clause #357 (by superposition #[356, 118]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Or (Eq True False) (Eq (genlmt c_tptpgeo_spindleheadmt a) False)) % 4.75/4.97 Clause #366 (by clausification #[357]): ∀ (a : Iota), Or (Eq (mtvisible a) True) (Eq (genlmt c_tptpgeo_spindleheadmt a) False) % 4.75/4.97 Clause #367 (by superposition #[366, 7]): Or (Eq (mtvisible c_worldgeographymt) True) (Eq False True) % 4.75/4.97 Clause #368 (by clausification #[367]): Eq (mtvisible c_worldgeographymt) True % 4.75/4.97 Clause #369 (by backward demodulation #[368, 54]): Or (Eq True False) (Eq (geolevel_1 c_georegion_l1_x2_y0) True) % 4.75/4.97 Clause #376 (by clausification #[369]): Eq (geolevel_1 c_georegion_l1_x2_y0) True % 4.75/4.97 Clause #377 (by backward demodulation #[376, 269]): Or (Eq (inregion c_geolocation_x76_y23 c_georegion_l1_x2_y0) False) (Eq True False) % 4.75/4.97 Clause #385 (by clausification #[377]): Eq (inregion c_geolocation_x76_y23 c_georegion_l1_x2_y0) False % 4.75/4.97 Clause #452 (by clausification #[304]): ∀ (a : Iota), % 4.75/4.97 Or (Eq (geographicalsubregions c_georegion_l1_x2_y0 a) True) % 4.75/4.97 (Eq (geographicalsubregions c_georegion_l2_x8_y2 a) False) % 4.75/4.97 Clause #454 (by superposition #[452, 327]): Or (Eq (geographicalsubregions c_georegion_l1_x2_y0 c_georegion_l3_x25_y7) True) (Eq False True) % 4.75/4.97 Clause #455 (by clausification #[454]): Eq (geographicalsubregions c_georegion_l1_x2_y0 c_georegion_l3_x25_y7) True % 4.75/4.97 Clause #457 (by superposition #[455, 192]): ∀ (a : Iota), % 4.75/4.97 Or (Eq (geographicalsubregions c_georegion_l1_x2_y0 a) True) % 4.75/4.97 (Or (Eq True False) (Eq (geographicalsubregions c_georegion_l3_x25_y7 a) False)) % 4.75/4.97 Clause #462 (by clausification #[457]): ∀ (a : Iota), % 4.75/4.97 Or (Eq (geographicalsubregions c_georegion_l1_x2_y0 a) True) % 4.75/4.97 (Eq (geographicalsubregions c_georegion_l3_x25_y7 a) False) % 4.75/4.97 Clause #463 (by superposition #[462, 283]): Or (Eq (geographicalsubregions c_georegion_l1_x2_y0 c_georegion_l4_x76_y23) True) (Eq False True) % 4.75/4.97 Clause #464 (by clausification #[463]): Eq (geographicalsubregions c_georegion_l1_x2_y0 c_georegion_l4_x76_y23) True % 4.75/4.97 Clause #465 (by superposition #[464, 57]): Or (Eq True False) (Eq (inregion c_georegion_l4_x76_y23 c_georegion_l1_x2_y0) True) % 4.75/4.97 Clause #467 (by clausification #[465]): Eq (inregion c_georegion_l4_x76_y23 c_georegion_l1_x2_y0) True % 4.75/4.97 Clause #492 (by clausification #[335]): ∀ (a : Iota), Or (Eq (inregion c_geolocation_x76_y23 a) True) (Eq (inregion c_georegion_l4_x76_y23 a) False) % 4.75/4.97 Clause #495 (by superposition #[492, 467]): Or (Eq (inregion c_geolocation_x76_y23 c_georegion_l1_x2_y0) True) (Eq False True) % 4.75/4.97 Clause #499 (by clausification #[495]): Eq (inregion c_geolocation_x76_y23 c_georegion_l1_x2_y0) True % 4.75/4.97 Clause #500 (by superposition #[499, 385]): Eq True False % 4.75/4.97 Clause #502 (by clausification #[500]): False % 4.75/4.97 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------