%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO257+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 3.97s 4.15s % Output : Proof 3.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO257+3 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.35 % Computer : n005.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 11:41:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.97/4.15 SZS status Theorem for theBenchmark.p % 3.97/4.15 SZS output start Proof for theBenchmark.p % 3.97/4.15 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.97/4.15 Clause #36 (by assumption #[]): Eq % 3.97/4.15 (Not % 3.97/4.15 (∀ (L A B C D : Iota), % 3.97/4.15 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C L)) (left_apart_point D L) → % 3.97/4.15 And (before_on_line L A B) (before_on_line L B C) → before_on_line L A C)) % 3.97/4.15 True % 3.97/4.15 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 % 3.97/4.15 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 % 3.97/4.15 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 % 3.97/4.15 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.97/4.15 Clause #296 (by clausification #[36]): Eq % 3.97/4.15 (∀ (L A B C D : Iota), % 3.97/4.15 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C L)) (left_apart_point D L) → % 3.97/4.15 And (before_on_line L A B) (before_on_line L B C) → before_on_line L A C) % 3.97/4.15 False % 3.97/4.15 Clause #297 (by clausification #[296]): ∀ (a : Iota), % 3.97/4.15 Eq % 3.97/4.15 (Not % 3.97/4.15 (∀ (A B C D : Iota), % 3.97/4.15 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a))) % 3.97/4.15 (left_apart_point D (skS.0 0 a)) → % 3.97/4.15 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)) % 3.97/4.15 True % 3.97/4.15 Clause #298 (by clausification #[297]): ∀ (a : Iota), % 3.97/4.15 Eq % 3.97/4.15 (∀ (A B C D : Iota), % 3.97/4.15 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a))) % 3.97/4.15 (left_apart_point D (skS.0 0 a)) → % 3.97/4.15 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) % 3.97/4.15 False % 3.97/4.15 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota), % 3.97/4.15 Eq % 3.97/4.15 (Not % 3.97/4.15 (∀ (B C D : Iota), % 3.97/4.15 And % 3.97/4.15 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C)) % 3.97/4.15 (incident_point_and_line C (skS.0 0 a))) % 3.97/4.15 (left_apart_point D (skS.0 0 a)) → % 3.97/4.15 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) B) (before_on_line (skS.0 0 a) B C) → % 3.97/4.15 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C)) % 3.97/4.15 True % 3.97/4.15 Clause #300 (by clausification #[299]): ∀ (a a_1 : Iota), % 3.97/4.15 Eq % 3.97/4.15 (∀ (B C D : Iota), % 3.97/4.15 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))) % 3.97/4.15 (left_apart_point D (skS.0 0 a)) → % 3.97/4.15 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) B) (before_on_line (skS.0 0 a) B C) → % 3.97/4.15 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) % 3.97/4.15 False % 3.97/4.15 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 : Iota), % 3.97/4.15 Eq % 3.97/4.15 (Not % 3.97/4.15 (∀ (C D : Iota), % 3.97/4.15 And % 3.97/4.15 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C)) % 3.97/4.15 (incident_point_and_line C (skS.0 0 a))) % 3.97/4.15 (left_apart_point D (skS.0 0 a)) → % 3.97/4.15 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.97/4.15 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) C) → % 3.97/4.15 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C)) % 3.97/4.15 True % 3.97/4.15 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 : Iota), % 3.97/4.15 Eq % 3.97/4.15 (∀ (C D : Iota), % 3.97/4.15 And % 3.97/4.15 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C)) % 3.97/4.15 (incident_point_and_line C (skS.0 0 a))) % 3.97/4.15 (left_apart_point D (skS.0 0 a)) → % 3.97/4.15 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.97/4.15 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) C) → % 3.97/4.15 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) % 3.97/4.15 False % 3.97/4.15 Clause #303 (by clausification #[302]): ∀ (a a_1 a_2 a_3 : Iota), % 3.97/4.15 Eq % 3.97/4.15 (Not % 3.97/4.15 (∀ (D : Iota), % 3.97/4.15 And % 3.97/4.15 (And % 3.97/4.17 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.97/4.17 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.97/4.17 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.97/4.17 (left_apart_point D (skS.0 0 a)) → % 3.97/4.17 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.97/4.17 (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)) → % 3.97/4.17 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))) % 3.97/4.17 True % 3.97/4.17 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 : Iota), % 3.97/4.17 Eq % 3.97/4.17 (∀ (D : Iota), % 3.97/4.17 And % 3.97/4.17 (And % 3.97/4.17 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.97/4.17 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.97/4.17 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.97/4.17 (left_apart_point D (skS.0 0 a)) → % 3.97/4.17 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.97/4.17 (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)) → % 3.97/4.17 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.97/4.17 False % 3.97/4.17 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.97/4.17 Eq % 3.97/4.17 (Not % 3.97/4.17 (And % 3.97/4.17 (And % 3.97/4.17 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.97/4.17 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.97/4.17 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.97/4.17 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) → % 3.97/4.17 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.97/4.17 (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)) → % 3.97/4.17 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))) % 3.97/4.17 True % 3.97/4.17 Clause #306 (by clausification #[305]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.97/4.17 Eq % 3.97/4.17 (And % 3.97/4.17 (And % 3.97/4.17 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.97/4.17 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.97/4.17 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.97/4.17 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) → % 3.97/4.17 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.97/4.17 (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)) → % 3.97/4.17 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.97/4.17 False % 3.97/4.17 Clause #307 (by clausification #[306]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 3.97/4.17 Eq % 3.97/4.17 (And % 3.97/4.17 (And % 3.97/4.17 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 3.97/4.17 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 3.97/4.17 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))) % 3.97/4.17 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a))) % 3.97/4.17 True % 3.97/4.17 Clause #309 (by clausification #[307]): ∀ (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 % 3.97/4.17 Clause #311 (by superposition #[309, 167]): Eq True False % 3.97/4.17 Clause #333 (by clausification #[311]): False % 3.97/4.17 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------