%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR037+1 : TPTP v9.2.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 07:46:07 PM UTC 2025 % Result : Theorem 3.87s 4.10s % Output : Proof 3.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR037+1 : TPTP v9.2.0. Released v3.4.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n023.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 19:23:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.87/4.10 SZS status Theorem for theBenchmark.p % 3.87/4.10 SZS output start Proof for theBenchmark.p % 3.87/4.10 Clause #11 (by assumption #[]): Eq (mtvisible c_tptpgeo_member7_mt → geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l3_x15_y24) True % 3.87/4.10 Clause #12 (by assumption #[]): Eq (mtvisible c_tptpgeo_member7_mt → geographicalsubregions c_georegion_l3_x15_y24 c_georegion_l4_x45_y72) True % 3.87/4.10 Clause #30 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (geographicalsubregions X Y) (geographicalsubregions Y Z) → geographicalsubregions X Z) True % 3.87/4.10 Clause #53 (by assumption #[]): Eq (Not (mtvisible c_tptpgeo_member7_mt → geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l4_x45_y72)) True % 3.87/4.10 Clause #56 (by clausification #[11]): Or (Eq (mtvisible c_tptpgeo_member7_mt) False) % 3.87/4.10 (Eq (geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l3_x15_y24) True) % 3.87/4.10 Clause #63 (by clausification #[12]): Or (Eq (mtvisible c_tptpgeo_member7_mt) False) % 3.87/4.10 (Eq (geographicalsubregions c_georegion_l3_x15_y24 c_georegion_l4_x45_y72) True) % 3.87/4.10 Clause #205 (by clausification #[53]): Eq (mtvisible c_tptpgeo_member7_mt → geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l4_x45_y72) False % 3.87/4.10 Clause #206 (by clausification #[205]): Eq (mtvisible c_tptpgeo_member7_mt) True % 3.87/4.10 Clause #207 (by clausification #[205]): Eq (geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l4_x45_y72) False % 3.87/4.10 Clause #208 (by backward demodulation #[206, 56]): Or (Eq True False) (Eq (geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l3_x15_y24) True) % 3.87/4.10 Clause #209 (by backward demodulation #[206, 63]): Or (Eq True False) (Eq (geographicalsubregions c_georegion_l3_x15_y24 c_georegion_l4_x45_y72) True) % 3.87/4.10 Clause #211 (by clausification #[208]): Eq (geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l3_x15_y24) True % 3.87/4.10 Clause #225 (by clausification #[209]): Eq (geographicalsubregions c_georegion_l3_x15_y24 c_georegion_l4_x45_y72) True % 3.87/4.10 Clause #245 (by clausification #[30]): ∀ (a : Iota), % 3.87/4.10 Eq (∀ (Y Z : Iota), And (geographicalsubregions a Y) (geographicalsubregions Y Z) → geographicalsubregions a Z) True % 3.87/4.10 Clause #246 (by clausification #[245]): ∀ (a a_1 : Iota), % 3.87/4.10 Eq (∀ (Z : Iota), And (geographicalsubregions a a_1) (geographicalsubregions a_1 Z) → geographicalsubregions a Z) True % 3.87/4.10 Clause #247 (by clausification #[246]): ∀ (a a_1 a_2 : Iota), % 3.87/4.10 Eq (And (geographicalsubregions a a_1) (geographicalsubregions a_1 a_2) → geographicalsubregions a a_2) True % 3.87/4.10 Clause #248 (by clausification #[247]): ∀ (a a_1 a_2 : Iota), % 3.87/4.10 Or (Eq (And (geographicalsubregions a a_1) (geographicalsubregions a_1 a_2)) False) % 3.87/4.10 (Eq (geographicalsubregions a a_2) True) % 3.87/4.10 Clause #249 (by clausification #[248]): ∀ (a a_1 a_2 : Iota), % 3.87/4.10 Or (Eq (geographicalsubregions a a_1) True) % 3.87/4.10 (Or (Eq (geographicalsubregions a a_2) False) (Eq (geographicalsubregions a_2 a_1) False)) % 3.87/4.10 Clause #250 (by superposition #[249, 211]): ∀ (a : Iota), % 3.87/4.10 Or (Eq (geographicalsubregions c_georegion_l2_x5_y8 a) True) % 3.87/4.10 (Or (Eq (geographicalsubregions c_georegion_l3_x15_y24 a) False) (Eq False True)) % 3.87/4.10 Clause #308 (by clausification #[250]): ∀ (a : Iota), % 3.87/4.10 Or (Eq (geographicalsubregions c_georegion_l2_x5_y8 a) True) % 3.87/4.10 (Eq (geographicalsubregions c_georegion_l3_x15_y24 a) False) % 3.87/4.10 Clause #310 (by superposition #[308, 225]): Or (Eq (geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l4_x45_y72) True) (Eq False True) % 3.87/4.10 Clause #313 (by clausification #[310]): Eq (geographicalsubregions c_georegion_l2_x5_y8 c_georegion_l4_x45_y72) True % 3.87/4.10 Clause #314 (by superposition #[313, 207]): Eq True False % 3.87/4.10 Clause #316 (by clausification #[314]): False % 3.87/4.10 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------