%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO080+1 : TPTP v9.2.0. Released v2.4.0. % 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 07:47:56 PM UTC 2025 % Result : Theorem 5.53s 5.72s % Output : Proof 5.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.10 % Problem : GEO080+1 : TPTP v9.2.0. Released v2.4.0. % 0.09/0.11 % Command : duper %s % 0.11/0.32 % Computer : n023.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Oct 3 11:54:38 EDT 2025 % 0.11/0.32 % CPUTime : % 5.53/5.72 SZS status Theorem for theBenchmark.p % 5.53/5.72 SZS output start Proof for theBenchmark.p % 5.53/5.72 Clause #0 (by assumption #[]): Eq (∀ (C C1 : Iota), Iff (part_of C1 C) (∀ (P : Iota), incident_c P C1 → incident_c P C)) True % 5.53/5.72 Clause #16 (by assumption #[]): Eq (Not (∀ (C : Iota), part_of C C)) True % 5.53/5.72 Clause #17 (by clausification #[16]): Eq (∀ (C : Iota), part_of C C) False % 5.53/5.72 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (Not (part_of (skS.0 0 a) (skS.0 0 a))) True % 5.53/5.72 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq (part_of (skS.0 0 a) (skS.0 0 a)) False % 5.53/5.72 Clause #39 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C1 : Iota), Iff (part_of C1 a) (∀ (P : Iota), incident_c P C1 → incident_c P a)) True % 5.53/5.72 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Eq (Iff (part_of a a_1) (∀ (P : Iota), incident_c P a → incident_c P a_1)) True % 5.53/5.72 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Or (Eq (part_of a a_1) True) (Eq (∀ (P : Iota), incident_c P a → incident_c P a_1) False) % 5.53/5.72 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), % 5.53/5.72 Or (Eq (part_of a a_1) True) (Eq (Not (incident_c (skS.0 3 a a_1 a_2) a → incident_c (skS.0 3 a a_1 a_2) a_1)) True) % 5.53/5.72 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), % 5.53/5.72 Or (Eq (part_of a a_1) True) (Eq (incident_c (skS.0 3 a a_1 a_2) a → incident_c (skS.0 3 a a_1 a_2) a_1) False) % 5.53/5.72 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Or (Eq (part_of a a_1) True) (Eq (incident_c (skS.0 3 a a_1 a_2) a) True) % 5.53/5.72 Clause #46 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Or (Eq (part_of a a_1) True) (Eq (incident_c (skS.0 3 a a_1 a_2) a_1) False) % 5.53/5.72 Clause #129 (by superposition #[46, 45]): ∀ (a : Iota), Or (Eq (part_of a a) True) (Or (Eq (part_of a a) True) (Eq False True)) % 5.53/5.72 Clause #145 (by clausification #[129]): ∀ (a : Iota), Or (Eq (part_of a a) True) (Eq (part_of a a) True) % 5.53/5.72 Clause #146 (by eliminate duplicate literals #[145]): ∀ (a : Iota), Eq (part_of a a) True % 5.53/5.72 Clause #147 (by superposition #[146, 19]): Eq True False % 5.53/5.72 Clause #149 (by clausification #[147]): False % 5.53/5.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------