%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO211+2 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 6.19s 6.41s % Output : Proof 6.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO211+2 : TPTP v9.2.0. Released v3.3.0. % 0.06/0.13 % Command : duper %s % 0.12/0.33 % Computer : n027.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Oct 3 12:19:38 EDT 2025 % 0.12/0.34 % CPUTime : % 6.19/6.41 SZS status Theorem for theBenchmark.p % 6.19/6.41 SZS output start Proof for theBenchmark.p % 6.19/6.41 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True % 6.19/6.41 Clause #15 (by assumption #[]): Eq (∀ (L M : Iota), Or (convergent_lines L M) (unorthogonal_lines L M)) True % 6.19/6.41 Clause #20 (by assumption #[]): Eq (Not (∀ (L : Iota), unorthogonal_lines L L)) True % 6.19/6.41 Clause #21 (by clausification #[20]): Eq (∀ (L : Iota), unorthogonal_lines L L) False % 6.19/6.41 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (Not (unorthogonal_lines (skS.0 0 a) (skS.0 0 a))) True % 6.19/6.41 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 0 a)) False % 6.19/6.41 Clause #24 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True % 6.19/6.41 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (convergent_lines a a) False % 6.19/6.41 Clause #50 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (M : Iota), Or (convergent_lines a M) (unorthogonal_lines a M)) True % 6.19/6.41 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (Or (convergent_lines a a_1) (unorthogonal_lines a a_1)) True % 6.19/6.41 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) True) (Eq (unorthogonal_lines a a_1) True) % 6.19/6.41 Clause #53 (by superposition #[52, 23]): ∀ (a : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True) (Eq True False) % 6.19/6.41 Clause #214 (by clausification #[53]): ∀ (a : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True % 6.19/6.41 Clause #215 (by superposition #[214, 25]): Eq True False % 6.19/6.41 Clause #221 (by clausification #[215]): False % 6.19/6.41 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------