%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO256+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 3.84s 4.02s % Output : Proof 3.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO256+3 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n004.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 11:30:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.84/4.02 SZS status Theorem for theBenchmark.p % 3.84/4.02 SZS output start Proof for theBenchmark.p % 3.84/4.02 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.84/4.02 Clause #36 (by assumption #[]): Eq % 3.84/4.02 (Not % 3.84/4.02 (∀ (L A B C D : Iota), % 3.84/4.02 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C L)) (left_apart_point D L) → % 3.84/4.02 before_on_line L A B → Or (before_on_line L A C) (before_on_line L C B))) % 3.84/4.02 True % 3.84/4.02 Clause #163 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 3.84/4.02 Clause #164 (by clausification #[163]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 3.84/4.02 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 3.84/4.02 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.84/4.02 Clause #361 (by clausification #[36]): Eq % 3.84/4.02 (∀ (L A B C D : Iota), % 3.84/4.02 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C L)) (left_apart_point D L) → % 3.84/4.02 before_on_line L A B → Or (before_on_line L A C) (before_on_line L C B)) % 3.84/4.02 False % 3.84/4.02 Clause #362 (by clausification #[361]): ∀ (a : Iota), % 3.84/4.02 Eq % 3.84/4.02 (Not % 3.84/4.02 (∀ (A B C D : Iota), % 3.84/4.02 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a))) % 3.84/4.02 (left_apart_point D (skS.0 0 a)) → % 3.84/4.02 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))) % 3.84/4.02 True % 3.84/4.02 Clause #363 (by clausification #[362]): ∀ (a : Iota), % 3.84/4.02 Eq % 3.84/4.02 (∀ (A B C D : Iota), % 3.84/4.02 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a))) % 3.84/4.02 (left_apart_point D (skS.0 0 a)) → % 3.84/4.02 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)) % 3.84/4.02 False % 3.84/4.02 Clause #364 (by clausification #[363]): ∀ (a a_1 : Iota), % 3.84/4.02 Eq % 3.84/4.02 (Not % 3.84/4.02 (∀ (B C D : Iota), % 3.84/4.02 And % 3.84/4.02 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C)) % 3.84/4.02 (incident_point_and_line C (skS.0 0 a))) % 3.84/4.02 (left_apart_point D (skS.0 0 a)) → % 3.84/4.02 before_on_line (skS.0 0 a) (skS.0 1 a a_1) B → % 3.84/4.02 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C B))) % 3.84/4.02 True % 3.84/4.02 Clause #365 (by clausification #[364]): ∀ (a a_1 : Iota), % 3.84/4.02 Eq % 3.84/4.02 (∀ (B C D : Iota), % 3.84/4.02 And (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a))) % 3.84/4.02 (left_apart_point D (skS.0 0 a)) → % 3.84/4.02 before_on_line (skS.0 0 a) (skS.0 1 a a_1) B → % 3.84/4.02 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C B)) % 3.84/4.02 False % 3.84/4.02 Clause #366 (by clausification #[365]): ∀ (a a_1 a_2 : Iota), % 3.84/4.02 Eq % 3.84/4.02 (Not % 3.84/4.02 (∀ (C D : Iota), % 3.84/4.02 And % 3.84/4.02 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C)) % 3.84/4.02 (incident_point_and_line C (skS.0 0 a))) % 3.84/4.02 (left_apart_point D (skS.0 0 a)) → % 3.84/4.02 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 3.84/4.02 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)))) % 3.84/4.02 True % 3.84/4.02 Clause #367 (by clausification #[366]): ∀ (a a_1 a_2 : Iota), % 3.84/4.02 Eq % 3.84/4.02 (∀ (C D : Iota), % 3.84/4.02 And % 3.84/4.02 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C)) % 3.84/4.02 (incident_point_and_line C (skS.0 0 a))) % 3.84/4.02 (left_apart_point D (skS.0 0 a)) → % 3.84/4.02 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 3.84/4.02 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))) % 3.84/4.02 False % 3.84/4.02 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 a_3 : Iota), % 3.84/4.02 Eq % 3.84/4.02 (Not % 3.84/4.02 (∀ (D : Iota), % 3.84/4.02 And % 3.84/4.02 (And % 3.84/4.02 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.84/4.03 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.84/4.03 (left_apart_point D (skS.0 0 a)) → % 3.84/4.03 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 3.84/4.03 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (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)))) % 3.84/4.03 True % 3.84/4.03 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 a_3 : Iota), % 3.84/4.03 Eq % 3.84/4.03 (∀ (D : Iota), % 3.84/4.03 And % 3.84/4.03 (And % 3.84/4.03 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.84/4.03 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.84/4.03 (left_apart_point D (skS.0 0 a)) → % 3.84/4.03 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 3.84/4.03 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (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))) % 3.84/4.03 False % 3.84/4.03 Clause #370 (by clausification #[369]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.84/4.03 Eq % 3.84/4.03 (Not % 3.84/4.03 (And % 3.84/4.03 (And % 3.84/4.03 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.84/4.03 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.84/4.03 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) → % 3.84/4.03 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 3.84/4.03 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (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)))) % 3.84/4.03 True % 3.84/4.03 Clause #371 (by clausification #[370]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.84/4.03 Eq % 3.84/4.03 (And % 3.84/4.03 (And % 3.84/4.03 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.84/4.03 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.84/4.03 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) → % 3.84/4.03 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) → % 3.84/4.03 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (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))) % 3.84/4.03 False % 3.84/4.03 Clause #372 (by clausification #[371]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.84/4.03 Eq % 3.84/4.03 (And % 3.84/4.03 (And % 3.84/4.03 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.84/4.03 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.84/4.03 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.84/4.03 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a))) % 3.84/4.03 True % 3.84/4.03 Clause #374 (by clausification #[372]): ∀ (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 % 3.84/4.03 Clause #376 (by superposition #[374, 167]): Eq True False % 3.84/4.03 Clause #377 (by clausification #[376]): False % 3.84/4.03 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------