%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO216+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 4.58s 4.79s % Output : Proof 4.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO216+3 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.14/0.35 % Computer : n010.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 11:34:38 EDT 2025 % 0.14/0.35 % CPUTime : % 4.58/4.79 SZS status Theorem for theBenchmark.p % 4.58/4.79 SZS output start Proof for theBenchmark.p % 4.58/4.79 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True % 4.58/4.79 Clause #18 (by assumption #[]): Eq (∀ (L M : Iota), Or (convergent_lines L M) (unorthogonal_lines L M)) True % 4.58/4.79 Clause #34 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (orthogonal_lines X Y) (Not (unorthogonal_lines X Y))) True % 4.58/4.79 Clause #35 (by assumption #[]): Eq (Not (∀ (L : Iota), Not (orthogonal_lines L L))) True % 4.58/4.79 Clause #36 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True % 4.58/4.79 Clause #37 (by clausification #[36]): ∀ (a : Iota), Eq (convergent_lines a a) False % 4.58/4.79 Clause #45 (by clausification #[35]): Eq (∀ (L : Iota), Not (orthogonal_lines L L)) False % 4.58/4.79 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (Not (Not (orthogonal_lines (skS.0 0 a) (skS.0 0 a)))) True % 4.58/4.79 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (Not (orthogonal_lines (skS.0 0 a) (skS.0 0 a))) False % 4.58/4.79 Clause #48 (by clausification #[47]): ∀ (a : Iota), Eq (orthogonal_lines (skS.0 0 a) (skS.0 0 a)) True % 4.58/4.79 Clause #97 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (M : Iota), Or (convergent_lines a M) (unorthogonal_lines a M)) True % 4.58/4.79 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota), Eq (Or (convergent_lines a a_1) (unorthogonal_lines a a_1)) True % 4.58/4.79 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) True) (Eq (unorthogonal_lines a a_1) True) % 4.58/4.79 Clause #129 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (orthogonal_lines a Y) (Not (unorthogonal_lines a Y))) True % 4.58/4.79 Clause #130 (by clausification #[129]): ∀ (a a_1 : Iota), Eq (Iff (orthogonal_lines a a_1) (Not (unorthogonal_lines a a_1))) True % 4.58/4.79 Clause #132 (by clausification #[130]): ∀ (a a_1 : Iota), Or (Eq (orthogonal_lines a a_1) False) (Eq (Not (unorthogonal_lines a a_1)) True) % 4.58/4.79 Clause #134 (by clausification #[132]): ∀ (a a_1 : Iota), Or (Eq (orthogonal_lines a a_1) False) (Eq (unorthogonal_lines a a_1) False) % 4.58/4.79 Clause #135 (by superposition #[134, 48]): ∀ (a : Iota), Or (Eq (unorthogonal_lines (skS.0 0 a) (skS.0 0 a)) False) (Eq False True) % 4.58/4.79 Clause #336 (by clausification #[135]): ∀ (a : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 0 a)) False % 4.58/4.79 Clause #337 (by superposition #[336, 99]): ∀ (a : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True) (Eq False True) % 4.58/4.79 Clause #367 (by clausification #[337]): ∀ (a : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True % 4.58/4.79 Clause #368 (by superposition #[367, 37]): Eq True False % 4.58/4.79 Clause #375 (by clausification #[368]): False % 4.58/4.79 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------