%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO241+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 07:48:20 PM UTC 2025 % Result : Theorem 5.91s 6.13s % Output : Proof 5.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : GEO241+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.10/0.12 % Command : duper %s % 0.12/0.33 % Computer : n009.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 11:29:38 EDT 2025 % 0.12/0.33 % CPUTime : % 5.91/6.13 SZS status Theorem for theBenchmark.p % 5.91/6.13 SZS output start Proof for theBenchmark.p % 5.91/6.13 Clause #15 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True % 5.91/6.13 Clause #31 (by assumption #[]): Eq % 5.91/6.13 (Not % 5.91/6.13 (∀ (A B L : Iota), % 5.91/6.13 And (And (Not (apart_point_and_line A L)) (distinct_points A B)) (left_convergent_lines L (line_connecting A B)) → % 5.91/6.13 left_apart_point B L)) % 5.91/6.13 True % 5.91/6.13 Clause #63 (by clausification #[31]): Eq % 5.91/6.13 (∀ (A B L : Iota), % 5.91/6.13 And (And (Not (apart_point_and_line A L)) (distinct_points A B)) (left_convergent_lines L (line_connecting A B)) → % 5.91/6.13 left_apart_point B L) % 5.91/6.13 False % 5.91/6.13 Clause #64 (by clausification #[63]): ∀ (a : Iota), % 5.91/6.13 Eq % 5.91/6.13 (Not % 5.91/6.13 (∀ (B L : Iota), % 5.91/6.13 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) B)) % 5.91/6.13 (left_convergent_lines L (line_connecting (skS.0 0 a) B)) → % 5.91/6.13 left_apart_point B L)) % 5.91/6.13 True % 5.91/6.13 Clause #65 (by clausification #[64]): ∀ (a : Iota), % 5.91/6.13 Eq % 5.91/6.13 (∀ (B L : Iota), % 5.91/6.13 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) B)) % 5.91/6.13 (left_convergent_lines L (line_connecting (skS.0 0 a) B)) → % 5.91/6.13 left_apart_point B L) % 5.91/6.13 False % 5.91/6.13 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), % 5.91/6.13 Eq % 5.91/6.13 (Not % 5.91/6.13 (∀ (L : Iota), % 5.91/6.13 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.91/6.13 (left_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 5.91/6.13 left_apart_point (skS.0 1 a a_1) L)) % 5.91/6.13 True % 5.91/6.13 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), % 5.91/6.13 Eq % 5.91/6.13 (∀ (L : Iota), % 5.91/6.13 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.91/6.13 (left_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 5.91/6.13 left_apart_point (skS.0 1 a a_1) L) % 5.91/6.13 False % 5.91/6.13 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota), % 5.91/6.13 Eq % 5.91/6.13 (Not % 5.91/6.13 (And % 5.91/6.13 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 5.91/6.13 (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.91/6.13 (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 5.91/6.13 left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 5.91/6.13 True % 5.91/6.13 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), % 5.91/6.13 Eq % 5.91/6.13 (And % 5.91/6.13 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.91/6.13 (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) → % 5.91/6.13 left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 5.91/6.13 False % 5.91/6.13 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), % 5.91/6.13 Eq % 5.91/6.13 (And % 5.91/6.13 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.91/6.13 (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) % 5.91/6.13 True % 5.91/6.13 Clause #72 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), Eq (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True % 5.91/6.13 Clause #85 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))) True % 5.91/6.13 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota), Eq (Not (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))) True % 5.91/6.13 Clause #87 (by clausification #[86]): ∀ (a a_1 : Iota), Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) False % 5.91/6.13 Clause #89 (by clausification #[87]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a a_1) False % 5.91/6.13 Clause #90 (by superposition #[89, 72]): Eq False True % 5.91/6.13 Clause #91 (by clausification #[90]): False % 5.91/6.13 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------