TSTP Solution File: GEO256+3 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO256+3 : TPTP v8.1.2. 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 : Wed Aug 30 22:55:58 EDT 2023
% Result : Theorem 3.89s 4.08s
% Output : Proof 3.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO256+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 22:57:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.89/4.08 SZS status Theorem for theBenchmark.p
% 3.89/4.08 SZS output start Proof for theBenchmark.p
% 3.89/4.08 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.89/4.08 Clause #36 (by assumption #[]): Eq
% 3.89/4.08 (Not
% 3.89/4.08 (∀ (L A B C D : Iota),
% 3.89/4.08 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C L)) (left_apart_point D L) →
% 3.89/4.08 before_on_line L A B → Or (before_on_line L A C) (before_on_line L C B)))
% 3.89/4.08 True
% 3.89/4.08 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
% 3.89/4.08 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
% 3.89/4.08 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
% 3.89/4.08 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 3.89/4.08 Clause #361 (by clausification #[36]): Eq
% 3.89/4.08 (∀ (L A B C D : Iota),
% 3.89/4.08 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C L)) (left_apart_point D L) →
% 3.89/4.08 before_on_line L A B → Or (before_on_line L A C) (before_on_line L C B))
% 3.89/4.08 False
% 3.89/4.08 Clause #362 (by clausification #[361]): ∀ (a : Iota),
% 3.89/4.08 Eq
% 3.89/4.08 (Not
% 3.89/4.08 (∀ (A B C D : Iota),
% 3.89/4.08 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a)))
% 3.89/4.08 (left_apart_point D (skS.0 0 a)) →
% 3.89/4.08 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)))
% 3.89/4.08 True
% 3.89/4.08 Clause #363 (by clausification #[362]): ∀ (a : Iota),
% 3.89/4.08 Eq
% 3.89/4.08 (∀ (A B C D : Iota),
% 3.89/4.08 And (And (And (distinct_points A C) (distinct_points B C)) (incident_point_and_line C (skS.0 0 a)))
% 3.89/4.08 (left_apart_point D (skS.0 0 a)) →
% 3.89/4.08 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))
% 3.89/4.08 False
% 3.89/4.08 Clause #364 (by clausification #[363]): ∀ (a a_1 : Iota),
% 3.89/4.08 Eq
% 3.89/4.08 (Not
% 3.89/4.08 (∀ (B C D : Iota),
% 3.89/4.08 And
% 3.89/4.08 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C))
% 3.89/4.08 (incident_point_and_line C (skS.0 0 a)))
% 3.89/4.08 (left_apart_point D (skS.0 0 a)) →
% 3.89/4.08 before_on_line (skS.0 0 a) (skS.0 1 a a_1) B →
% 3.89/4.08 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C B)))
% 3.89/4.08 True
% 3.89/4.08 Clause #365 (by clausification #[364]): ∀ (a a_1 : Iota),
% 3.89/4.08 Eq
% 3.89/4.08 (∀ (B C D : Iota),
% 3.89/4.08 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)))
% 3.89/4.08 (left_apart_point D (skS.0 0 a)) →
% 3.89/4.08 before_on_line (skS.0 0 a) (skS.0 1 a a_1) B →
% 3.89/4.08 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C B))
% 3.89/4.08 False
% 3.89/4.08 Clause #366 (by clausification #[365]): ∀ (a a_1 a_2 : Iota),
% 3.89/4.08 Eq
% 3.89/4.08 (Not
% 3.89/4.08 (∀ (C D : Iota),
% 3.89/4.08 And
% 3.89/4.08 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C))
% 3.89/4.08 (incident_point_and_line C (skS.0 0 a)))
% 3.89/4.08 (left_apart_point D (skS.0 0 a)) →
% 3.89/4.08 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 3.89/4.08 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))))
% 3.89/4.08 True
% 3.89/4.08 Clause #367 (by clausification #[366]): ∀ (a a_1 a_2 : Iota),
% 3.89/4.08 Eq
% 3.89/4.08 (∀ (C D : Iota),
% 3.89/4.08 And
% 3.89/4.08 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C))
% 3.89/4.08 (incident_point_and_line C (skS.0 0 a)))
% 3.89/4.08 (left_apart_point D (skS.0 0 a)) →
% 3.89/4.08 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 3.89/4.08 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)))
% 3.89/4.08 False
% 3.89/4.08 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.89/4.08 Eq
% 3.89/4.08 (Not
% 3.89/4.08 (∀ (D : Iota),
% 3.89/4.08 And
% 3.89/4.08 (And
% 3.89/4.08 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.89/4.09 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.89/4.09 (left_apart_point D (skS.0 0 a)) →
% 3.89/4.09 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 3.89/4.09 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (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))))
% 3.89/4.09 True
% 3.89/4.09 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.89/4.09 Eq
% 3.89/4.09 (∀ (D : Iota),
% 3.89/4.09 And
% 3.89/4.09 (And
% 3.89/4.09 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.89/4.09 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.89/4.09 (left_apart_point D (skS.0 0 a)) →
% 3.89/4.09 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 3.89/4.09 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (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)))
% 3.89/4.09 False
% 3.89/4.09 Clause #370 (by clausification #[369]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.89/4.09 Eq
% 3.89/4.09 (Not
% 3.89/4.09 (And
% 3.89/4.09 (And
% 3.89/4.09 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.89/4.09 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.89/4.09 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) →
% 3.89/4.09 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 3.89/4.09 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (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))))
% 3.89/4.09 True
% 3.89/4.09 Clause #371 (by clausification #[370]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.89/4.09 Eq
% 3.89/4.09 (And
% 3.89/4.09 (And
% 3.89/4.09 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.89/4.09 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.89/4.09 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) →
% 3.89/4.09 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 3.89/4.09 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (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)))
% 3.89/4.09 False
% 3.89/4.09 Clause #372 (by clausification #[371]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.89/4.09 Eq
% 3.89/4.09 (And
% 3.89/4.09 (And
% 3.89/4.09 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.89/4.09 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.89/4.09 (incident_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)))
% 3.89/4.09 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)))
% 3.89/4.09 True
% 3.89/4.09 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
% 3.89/4.09 Clause #376 (by superposition #[374, 167]): Eq True False
% 3.89/4.09 Clause #377 (by clausification #[376]): False
% 3.89/4.09 SZS output end Proof for theBenchmark.p
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