%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO257+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 3.66s 3.83s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO257+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n014.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 11:42:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.66/3.83 SZS status Theorem for theBenchmark.p % 3.66/3.83 SZS output start Proof for theBenchmark.p % 3.66/3.83 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.66/3.83 Clause #31 (by assumption #[]): Eq % 3.66/3.83 (Not % 3.66/3.83 (∀ (L A B C D : Iota), % 3.66/3.83 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C L))) % 3.66/3.83 (left_apart_point D L) → % 3.66/3.83 And (before_on_line L A B) (before_on_line L B C) → before_on_line L A C)) % 3.66/3.83 True % 3.66/3.83 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 % 3.66/3.83 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 % 3.66/3.83 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 % 3.66/3.83 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.66/3.83 Clause #175 (by clausification #[31]): Eq % 3.66/3.83 (∀ (L A B C D : Iota), % 3.66/3.83 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C L))) % 3.66/3.83 (left_apart_point D L) → % 3.66/3.83 And (before_on_line L A B) (before_on_line L B C) → before_on_line L A C) % 3.66/3.83 False % 3.66/3.83 Clause #176 (by clausification #[175]): ∀ (a : Iota), % 3.66/3.83 Eq % 3.66/3.83 (Not % 3.66/3.83 (∀ (A B C D : Iota), % 3.66/3.83 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C (skS.0 0 a)))) % 3.66/3.83 (left_apart_point D (skS.0 0 a)) → % 3.66/3.83 And (before_on_line (skS.0 0 a) A B) (before_on_line (skS.0 0 a) B C) → before_on_line (skS.0 0 a) A C)) % 3.66/3.83 True % 3.66/3.83 Clause #177 (by clausification #[176]): ∀ (a : Iota), % 3.66/3.83 Eq % 3.66/3.83 (∀ (A B C D : Iota), % 3.66/3.83 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C (skS.0 0 a)))) % 3.66/3.83 (left_apart_point D (skS.0 0 a)) → % 3.66/3.83 And (before_on_line (skS.0 0 a) A B) (before_on_line (skS.0 0 a) B C) → before_on_line (skS.0 0 a) A C) % 3.66/3.83 False % 3.66/3.83 Clause #178 (by clausification #[177]): ∀ (a a_1 : Iota), % 3.66/3.83 Eq % 3.66/3.83 (Not % 3.66/3.83 (∀ (B C D : Iota), % 3.66/3.83 And % 3.66/3.83 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C)) % 3.66/3.83 (Not (apart_point_and_line C (skS.0 0 a)))) % 3.66/3.83 (left_apart_point D (skS.0 0 a)) → % 3.66/3.83 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) B) (before_on_line (skS.0 0 a) B C) → % 3.66/3.83 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C)) % 3.66/3.83 True % 3.66/3.83 Clause #179 (by clausification #[178]): ∀ (a a_1 : Iota), % 3.66/3.83 Eq % 3.66/3.83 (∀ (B C D : Iota), % 3.66/3.83 And % 3.66/3.83 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C)) % 3.66/3.83 (Not (apart_point_and_line C (skS.0 0 a)))) % 3.66/3.83 (left_apart_point D (skS.0 0 a)) → % 3.66/3.83 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) B) (before_on_line (skS.0 0 a) B C) → % 3.66/3.83 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) % 3.66/3.83 False % 3.66/3.83 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 : Iota), % 3.66/3.83 Eq % 3.66/3.83 (Not % 3.66/3.83 (∀ (C D : Iota), % 3.66/3.83 And % 3.66/3.83 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C)) % 3.66/3.83 (Not (apart_point_and_line C (skS.0 0 a)))) % 3.66/3.83 (left_apart_point D (skS.0 0 a)) → % 3.66/3.83 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.66/3.83 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) C) → % 3.66/3.83 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C)) % 3.66/3.83 True % 3.66/3.83 Clause #181 (by clausification #[180]): ∀ (a a_1 a_2 : Iota), % 3.66/3.83 Eq % 3.66/3.83 (∀ (C D : Iota), % 3.66/3.83 And % 3.66/3.83 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C)) % 3.66/3.83 (Not (apart_point_and_line C (skS.0 0 a)))) % 3.66/3.83 (left_apart_point D (skS.0 0 a)) → % 3.66/3.83 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.66/3.83 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) C) → % 3.66/3.83 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) % 3.66/3.83 False % 3.66/3.83 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 a_3 : Iota), % 3.66/3.85 Eq % 3.66/3.85 (Not % 3.66/3.85 (∀ (D : Iota), % 3.66/3.85 And % 3.66/3.85 (And % 3.66/3.85 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.66/3.85 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.66/3.85 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 3.66/3.85 (left_apart_point D (skS.0 0 a)) → % 3.66/3.85 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.66/3.85 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) → % 3.66/3.85 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))) % 3.66/3.85 True % 3.66/3.85 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 a_3 : Iota), % 3.66/3.85 Eq % 3.66/3.85 (∀ (D : Iota), % 3.66/3.85 And % 3.66/3.85 (And % 3.66/3.85 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.66/3.85 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.66/3.85 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 3.66/3.85 (left_apart_point D (skS.0 0 a)) → % 3.66/3.85 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.66/3.85 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) → % 3.66/3.85 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.66/3.85 False % 3.66/3.85 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.66/3.85 Eq % 3.66/3.85 (Not % 3.66/3.85 (And % 3.66/3.85 (And % 3.66/3.85 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.66/3.85 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.66/3.85 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 3.66/3.85 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) → % 3.66/3.85 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.66/3.85 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) → % 3.66/3.85 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))) % 3.66/3.85 True % 3.66/3.85 Clause #185 (by clausification #[184]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.66/3.85 Eq % 3.66/3.85 (And % 3.66/3.85 (And % 3.66/3.85 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.66/3.85 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.66/3.85 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 3.66/3.85 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) → % 3.66/3.85 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.66/3.85 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) → % 3.66/3.85 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.66/3.85 False % 3.66/3.85 Clause #186 (by clausification #[185]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.66/3.85 Eq % 3.66/3.85 (And % 3.66/3.85 (And % 3.66/3.85 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.66/3.85 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.66/3.85 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))) % 3.66/3.85 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a))) % 3.66/3.85 True % 3.66/3.85 Clause #188 (by clausification #[186]): ∀ (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 % 3.66/3.85 Clause #190 (by superposition #[188, 83]): Eq True False % 3.66/3.85 Clause #191 (by clausification #[190]): False % 3.66/3.85 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------