%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO242+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 5.44s 5.68s % Output : Proof 5.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : GEO242+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.00/0.11 % Command : duper %s % 0.10/0.32 % Computer : n012.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Fri Oct 3 11:30:23 EDT 2025 % 0.10/0.32 % CPUTime : % 5.44/5.68 SZS status Theorem for theBenchmark.p % 5.44/5.68 SZS output start Proof for theBenchmark.p % 5.44/5.68 Clause #15 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True % 5.44/5.68 Clause #31 (by assumption #[]): Eq % 5.44/5.68 (Not % 5.44/5.68 (∀ (A B L : Iota), % 5.44/5.68 And (And (Not (apart_point_and_line A L)) (distinct_points A B)) % 5.44/5.68 (left_convergent_lines L (reverse_line (line_connecting A B))) → % 5.44/5.68 left_apart_point B (reverse_line L))) % 5.44/5.68 True % 5.44/5.68 Clause #74 (by clausification #[31]): Eq % 5.44/5.68 (∀ (A B L : Iota), % 5.44/5.68 And (And (Not (apart_point_and_line A L)) (distinct_points A B)) % 5.44/5.68 (left_convergent_lines L (reverse_line (line_connecting A B))) → % 5.44/5.68 left_apart_point B (reverse_line L)) % 5.44/5.68 False % 5.44/5.68 Clause #75 (by clausification #[74]): ∀ (a : Iota), % 5.44/5.68 Eq % 5.44/5.68 (Not % 5.44/5.68 (∀ (B L : Iota), % 5.44/5.68 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) B)) % 5.44/5.68 (left_convergent_lines L (reverse_line (line_connecting (skS.0 0 a) B))) → % 5.44/5.68 left_apart_point B (reverse_line L))) % 5.44/5.68 True % 5.44/5.68 Clause #76 (by clausification #[75]): ∀ (a : Iota), % 5.44/5.68 Eq % 5.44/5.68 (∀ (B L : Iota), % 5.44/5.68 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) B)) % 5.44/5.68 (left_convergent_lines L (reverse_line (line_connecting (skS.0 0 a) B))) → % 5.44/5.68 left_apart_point B (reverse_line L)) % 5.44/5.68 False % 5.44/5.68 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), % 5.44/5.68 Eq % 5.44/5.68 (Not % 5.44/5.68 (∀ (L : Iota), % 5.44/5.68 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.44/5.68 (left_convergent_lines L (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) → % 5.44/5.68 left_apart_point (skS.0 1 a a_1) (reverse_line L))) % 5.44/5.68 True % 5.44/5.68 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), % 5.44/5.68 Eq % 5.44/5.68 (∀ (L : Iota), % 5.44/5.68 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.44/5.68 (left_convergent_lines L (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) → % 5.44/5.68 left_apart_point (skS.0 1 a a_1) (reverse_line L)) % 5.44/5.68 False % 5.44/5.68 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 5.44/5.68 Eq % 5.44/5.68 (Not % 5.44/5.68 (And % 5.44/5.68 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) % 5.44/5.68 (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) % 5.44/5.68 (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) → % 5.44/5.68 left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2)))) % 5.44/5.68 True % 5.44/5.68 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota), % 5.44/5.68 Eq % 5.44/5.68 (And % 5.44/5.68 (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))) % 5.44/5.68 (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) → % 5.44/5.68 left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) % 5.44/5.68 False % 5.44/5.68 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 5.44/5.68 Eq % 5.44/5.68 (And % 5.44/5.68 (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))) % 5.44/5.68 (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))))) % 5.44/5.68 True % 5.44/5.68 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), % 5.44/5.68 Eq (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) True % 5.44/5.68 Clause #119 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))) True % 5.44/5.68 Clause #120 (by clausification #[119]): ∀ (a a_1 : Iota), Eq (Not (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))) True % 5.44/5.68 Clause #121 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) False % 5.44/5.68 Clause #122 (by clausification #[121]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a (reverse_line a_1)) False % 5.44/5.68 Clause #124 (by superposition #[122, 83]): Eq False True % 5.44/5.68 Clause #125 (by clausification #[124]): False % 5.44/5.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------