%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO216+2 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:48:15 PM UTC 2025 % Result : Theorem 3.53s 3.73s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO216+2 : TPTP v9.2.0. Released v3.3.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n026.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 11:37:23 EDT 2025 % 0.14/0.34 % CPUTime : % 3.53/3.73 SZS status Theorem for theBenchmark.p % 3.53/3.73 SZS output start Proof for theBenchmark.p % 3.53/3.73 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True % 3.53/3.73 Clause #12 (by assumption #[]): Eq (∀ (L M : Iota), Not (And (Not (convergent_lines L M)) (Not (unorthogonal_lines L M)))) True % 3.53/3.73 Clause #15 (by assumption #[]): Eq (Not (∀ (L : Iota), Not (Not (unorthogonal_lines L L)))) True % 3.53/3.73 Clause #16 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True % 3.53/3.73 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (convergent_lines a a) False % 3.53/3.73 Clause #25 (by clausification #[15]): Eq (∀ (L : Iota), Not (Not (unorthogonal_lines L L))) False % 3.53/3.73 Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (Not (Not (Not (unorthogonal_lines (skS.0 0 a) (skS.0 0 a))))) True % 3.53/3.73 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (Not (Not (unorthogonal_lines (skS.0 0 a) (skS.0 0 a)))) False % 3.53/3.73 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Not (unorthogonal_lines (skS.0 0 a) (skS.0 0 a))) True % 3.53/3.73 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 0 a)) False % 3.53/3.73 Clause #70 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (And (Not (convergent_lines a M)) (Not (unorthogonal_lines a M)))) True % 3.53/3.73 Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota), Eq (Not (And (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1)))) True % 3.53/3.73 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Eq (And (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1))) False % 3.53/3.73 Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota), Or (Eq (Not (convergent_lines a a_1)) False) (Eq (Not (unorthogonal_lines a a_1)) False) % 3.53/3.73 Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota), Or (Eq (Not (unorthogonal_lines a a_1)) False) (Eq (convergent_lines a a_1) True) % 3.53/3.73 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) True) (Eq (unorthogonal_lines a a_1) True) % 3.53/3.73 Clause #76 (by superposition #[75, 29]): ∀ (a : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True) (Eq True False) % 3.53/3.73 Clause #107 (by clausification #[76]): ∀ (a : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True % 3.53/3.73 Clause #108 (by superposition #[107, 17]): Eq True False % 3.53/3.73 Clause #113 (by clausification #[108]): False % 3.53/3.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------