%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO211+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 07:48:14 PM UTC 2025 % Result : Theorem 6.39s 6.64s % Output : Proof 6.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO211+1 : TPTP v9.2.0. Released v3.3.0. % 0.00/0.11 % Command : duper %s % 0.11/0.32 % Computer : n025.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 11:55:53 EDT 2025 % 0.11/0.32 % CPUTime : % 6.39/6.64 SZS status Theorem for theBenchmark.p % 6.39/6.64 SZS output start Proof for theBenchmark.p % 6.39/6.64 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True % 6.39/6.64 Clause #17 (by assumption #[]): Eq (∀ (L M : Iota), Or (convergent_lines L M) (unorthogonal_lines L M)) True % 6.39/6.64 Clause #22 (by assumption #[]): Eq (Not (∀ (L : Iota), unorthogonal_lines L L)) True % 6.39/6.64 Clause #23 (by clausification #[22]): Eq (∀ (L : Iota), unorthogonal_lines L L) False % 6.39/6.64 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (Not (unorthogonal_lines (skS.0 0 a) (skS.0 0 a))) True % 6.39/6.64 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 0 a)) False % 6.39/6.64 Clause #26 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True % 6.39/6.64 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (convergent_lines a a) False % 6.39/6.64 Clause #49 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (M : Iota), Or (convergent_lines a M) (unorthogonal_lines a M)) True % 6.39/6.64 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Eq (Or (convergent_lines a a_1) (unorthogonal_lines a a_1)) True % 6.39/6.64 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) True) (Eq (unorthogonal_lines a a_1) True) % 6.39/6.64 Clause #52 (by superposition #[51, 25]): ∀ (a : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True) (Eq True False) % 6.39/6.64 Clause #251 (by clausification #[52]): ∀ (a : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True % 6.39/6.64 Clause #252 (by superposition #[251, 27]): Eq True False % 6.39/6.64 Clause #257 (by clausification #[252]): False % 6.39/6.64 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------