%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO256+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 07:48:23 PM UTC 2025 % Result : Theorem 4.19s 4.38s % Output : Proof 4.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GEO256+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.13/0.14 % Command : duper %s % 0.13/0.35 % Computer : n021.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 11:26:23 EDT 2025 % 0.13/0.35 % CPUTime : % 4.19/4.38 SZS status Theorem for theBenchmark.p % 4.19/4.38 SZS output start Proof for theBenchmark.p % 4.19/4.38 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 4.19/4.38 Clause #31 (by assumption #[]): Eq % 4.19/4.38 (Not % 4.19/4.38 (∀ (L A B C D : Iota), % 4.19/4.38 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C L))) % 4.19/4.38 (left_apart_point D L) → % 4.19/4.38 before_on_line L A B → Or (before_on_line L A C) (before_on_line L C B))) % 4.19/4.38 True % 4.19/4.38 Clause #79 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 4.19/4.38 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 4.19/4.38 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 4.19/4.38 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 4.19/4.38 Clause #231 (by clausification #[31]): Eq % 4.19/4.38 (∀ (L A B C D : Iota), % 4.19/4.38 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C L))) % 4.19/4.38 (left_apart_point D L) → % 4.19/4.38 before_on_line L A B → Or (before_on_line L A C) (before_on_line L C B)) % 4.19/4.38 False % 4.19/4.38 Clause #232 (by clausification #[231]): ∀ (a : Iota), % 4.19/4.38 Eq % 4.19/4.38 (Not % 4.19/4.38 (∀ (A B C D : Iota), % 4.19/4.38 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C (skS.0 0 a)))) % 4.19/4.38 (left_apart_point D (skS.0 0 a)) → % 4.19/4.38 before_on_line (skS.0 0 a) A B → Or (before_on_line (skS.0 0 a) A C) (before_on_line (skS.0 0 a) C B))) % 4.19/4.38 True % 4.19/4.38 Clause #233 (by clausification #[232]): ∀ (a : Iota), % 4.19/4.38 Eq % 4.19/4.38 (∀ (A B C D : Iota), % 4.19/4.38 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C (skS.0 0 a)))) % 4.19/4.38 (left_apart_point D (skS.0 0 a)) → % 4.19/4.38 before_on_line (skS.0 0 a) A B → Or (before_on_line (skS.0 0 a) A C) (before_on_line (skS.0 0 a) C B)) % 4.19/4.38 False % 4.19/4.38 Clause #234 (by clausification #[233]): ∀ (a a_1 : Iota), % 4.19/4.38 Eq % 4.19/4.38 (Not % 4.19/4.38 (∀ (B C D : Iota), % 4.19/4.38 And % 4.19/4.38 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C)) % 4.19/4.38 (Not (apart_point_and_line C (skS.0 0 a)))) % 4.19/4.38 (left_apart_point D (skS.0 0 a)) → % 4.19/4.38 before_on_line (skS.0 0 a) (skS.0 1 a a_1) B → % 4.19/4.38 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C B))) % 4.19/4.38 True % 4.19/4.38 Clause #235 (by clausification #[234]): ∀ (a a_1 : Iota), % 4.19/4.38 Eq % 4.19/4.38 (∀ (B C D : Iota), % 4.19/4.38 And % 4.19/4.38 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C)) % 4.19/4.38 (Not (apart_point_and_line C (skS.0 0 a)))) % 4.19/4.38 (left_apart_point D (skS.0 0 a)) → % 4.19/4.38 before_on_line (skS.0 0 a) (skS.0 1 a a_1) B → % 4.19/4.38 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C B)) % 4.19/4.38 False % 4.19/4.38 Clause #236 (by clausification #[235]): ∀ (a a_1 a_2 : Iota), % 4.19/4.38 Eq % 4.19/4.38 (Not % 4.19/4.38 (∀ (C D : Iota), % 4.19/4.38 And % 4.19/4.38 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C)) % 4.19/4.38 (Not (apart_point_and_line C (skS.0 0 a)))) % 4.19/4.38 (left_apart_point D (skS.0 0 a)) → % 4.19/4.38 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 4.19/4.38 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C (skS.0 2 a a_1 a_2)))) % 4.19/4.38 True % 4.19/4.38 Clause #237 (by clausification #[236]): ∀ (a a_1 a_2 : Iota), % 4.19/4.38 Eq % 4.19/4.38 (∀ (C D : Iota), % 4.19/4.38 And % 4.19/4.38 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C)) % 4.19/4.38 (Not (apart_point_and_line C (skS.0 0 a)))) % 4.19/4.38 (left_apart_point D (skS.0 0 a)) → % 4.19/4.38 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 4.19/4.38 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C (skS.0 2 a a_1 a_2))) % 4.19/4.38 False % 4.19/4.38 Clause #238 (by clausification #[237]): ∀ (a a_1 a_2 a_3 : Iota), % 4.19/4.38 Eq % 4.19/4.38 (Not % 4.19/4.38 (∀ (D : Iota), % 4.19/4.41 And % 4.19/4.41 (And % 4.19/4.41 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 4.19/4.41 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 4.19/4.41 (left_apart_point D (skS.0 0 a)) → % 4.19/4.41 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 4.19/4.41 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (before_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 2 a a_1 a_2)))) % 4.19/4.41 True % 4.19/4.41 Clause #239 (by clausification #[238]): ∀ (a a_1 a_2 a_3 : Iota), % 4.19/4.41 Eq % 4.19/4.41 (∀ (D : Iota), % 4.19/4.41 And % 4.19/4.41 (And % 4.19/4.41 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 4.19/4.41 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 4.19/4.41 (left_apart_point D (skS.0 0 a)) → % 4.19/4.41 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 4.19/4.41 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (before_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 2 a a_1 a_2))) % 4.19/4.41 False % 4.19/4.41 Clause #240 (by clausification #[239]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.19/4.41 Eq % 4.19/4.41 (Not % 4.19/4.41 (And % 4.19/4.41 (And % 4.19/4.41 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 4.19/4.41 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 4.19/4.41 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) → % 4.19/4.41 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 4.19/4.41 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (before_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 2 a a_1 a_2)))) % 4.19/4.41 True % 4.19/4.41 Clause #241 (by clausification #[240]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.19/4.41 Eq % 4.19/4.41 (And % 4.19/4.41 (And % 4.19/4.41 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 4.19/4.41 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 4.19/4.41 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) → % 4.19/4.41 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 4.19/4.41 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (before_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 2 a a_1 a_2))) % 4.19/4.41 False % 4.19/4.41 Clause #242 (by clausification #[241]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.19/4.41 Eq % 4.19/4.41 (And % 4.19/4.41 (And % 4.19/4.41 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 4.19/4.41 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 4.19/4.41 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 4.19/4.41 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a))) % 4.19/4.41 True % 4.19/4.41 Clause #244 (by clausification #[242]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) True % 4.19/4.41 Clause #246 (by superposition #[244, 83]): Eq True False % 4.19/4.41 Clause #247 (by clausification #[246]): False % 4.19/4.41 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------