TSTP Solution File: GEO256+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO256+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : Wed Aug 30 22:55:58 EDT 2023
% Result : Theorem 4.20s 4.38s
% Output : Proof 4.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO256+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 21:53:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.20/4.38 SZS status Theorem for theBenchmark.p
% 4.20/4.38 SZS output start Proof for theBenchmark.p
% 4.20/4.38 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 4.20/4.38 Clause #31 (by assumption #[]): Eq
% 4.20/4.38 (Not
% 4.20/4.38 (∀ (L A B C D : Iota),
% 4.20/4.38 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C L)))
% 4.20/4.38 (left_apart_point D L) →
% 4.20/4.38 before_on_line L A B → Or (before_on_line L A C) (before_on_line L C B)))
% 4.20/4.38 True
% 4.20/4.38 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
% 4.20/4.38 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
% 4.20/4.38 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
% 4.20/4.38 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 4.20/4.38 Clause #231 (by clausification #[31]): Eq
% 4.20/4.38 (∀ (L A B C D : Iota),
% 4.20/4.38 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C L)))
% 4.20/4.38 (left_apart_point D L) →
% 4.20/4.38 before_on_line L A B → Or (before_on_line L A C) (before_on_line L C B))
% 4.20/4.38 False
% 4.20/4.38 Clause #232 (by clausification #[231]): ∀ (a : Iota),
% 4.20/4.38 Eq
% 4.20/4.38 (Not
% 4.20/4.38 (∀ (A B C D : Iota),
% 4.20/4.38 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C (skS.0 0 a))))
% 4.20/4.38 (left_apart_point D (skS.0 0 a)) →
% 4.20/4.38 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)))
% 4.20/4.38 True
% 4.20/4.38 Clause #233 (by clausification #[232]): ∀ (a : Iota),
% 4.20/4.38 Eq
% 4.20/4.38 (∀ (A B C D : Iota),
% 4.20/4.38 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C (skS.0 0 a))))
% 4.20/4.38 (left_apart_point D (skS.0 0 a)) →
% 4.20/4.38 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))
% 4.20/4.38 False
% 4.20/4.38 Clause #234 (by clausification #[233]): ∀ (a a_1 : Iota),
% 4.20/4.38 Eq
% 4.20/4.38 (Not
% 4.20/4.38 (∀ (B C D : Iota),
% 4.20/4.38 And
% 4.20/4.38 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C))
% 4.20/4.38 (Not (apart_point_and_line C (skS.0 0 a))))
% 4.20/4.38 (left_apart_point D (skS.0 0 a)) →
% 4.20/4.38 before_on_line (skS.0 0 a) (skS.0 1 a a_1) B →
% 4.20/4.38 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C B)))
% 4.20/4.38 True
% 4.20/4.38 Clause #235 (by clausification #[234]): ∀ (a a_1 : Iota),
% 4.20/4.38 Eq
% 4.20/4.38 (∀ (B C D : Iota),
% 4.20/4.38 And
% 4.20/4.38 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C))
% 4.20/4.38 (Not (apart_point_and_line C (skS.0 0 a))))
% 4.20/4.38 (left_apart_point D (skS.0 0 a)) →
% 4.20/4.38 before_on_line (skS.0 0 a) (skS.0 1 a a_1) B →
% 4.20/4.38 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) C) (before_on_line (skS.0 0 a) C B))
% 4.20/4.38 False
% 4.20/4.38 Clause #236 (by clausification #[235]): ∀ (a a_1 a_2 : Iota),
% 4.20/4.38 Eq
% 4.20/4.38 (Not
% 4.20/4.38 (∀ (C D : Iota),
% 4.20/4.38 And
% 4.20/4.38 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C))
% 4.20/4.38 (Not (apart_point_and_line C (skS.0 0 a))))
% 4.20/4.38 (left_apart_point D (skS.0 0 a)) →
% 4.20/4.38 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 4.20/4.38 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))))
% 4.20/4.38 True
% 4.20/4.38 Clause #237 (by clausification #[236]): ∀ (a a_1 a_2 : Iota),
% 4.20/4.38 Eq
% 4.20/4.38 (∀ (C D : Iota),
% 4.20/4.38 And
% 4.20/4.38 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C))
% 4.20/4.38 (Not (apart_point_and_line C (skS.0 0 a))))
% 4.20/4.38 (left_apart_point D (skS.0 0 a)) →
% 4.20/4.38 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 4.20/4.38 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)))
% 4.20/4.38 False
% 4.20/4.38 Clause #238 (by clausification #[237]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.20/4.38 Eq
% 4.20/4.38 (Not
% 4.20/4.38 (∀ (D : Iota),
% 4.20/4.39 And
% 4.20/4.39 (And
% 4.20/4.39 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 4.20/4.39 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 4.20/4.39 (left_apart_point D (skS.0 0 a)) →
% 4.20/4.39 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 4.20/4.39 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (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))))
% 4.20/4.39 True
% 4.20/4.39 Clause #239 (by clausification #[238]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.20/4.39 Eq
% 4.20/4.39 (∀ (D : Iota),
% 4.20/4.39 And
% 4.20/4.39 (And
% 4.20/4.39 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 4.20/4.39 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 4.20/4.39 (left_apart_point D (skS.0 0 a)) →
% 4.20/4.39 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 4.20/4.39 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (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)))
% 4.20/4.39 False
% 4.20/4.39 Clause #240 (by clausification #[239]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.20/4.39 Eq
% 4.20/4.39 (Not
% 4.20/4.39 (And
% 4.20/4.39 (And
% 4.20/4.39 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 4.20/4.39 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 4.20/4.39 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) →
% 4.20/4.39 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 4.20/4.39 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (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))))
% 4.20/4.39 True
% 4.20/4.39 Clause #241 (by clausification #[240]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.20/4.39 Eq
% 4.20/4.39 (And
% 4.20/4.39 (And
% 4.20/4.39 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 4.20/4.39 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 4.20/4.39 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) →
% 4.20/4.39 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) →
% 4.20/4.39 Or (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (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)))
% 4.20/4.39 False
% 4.20/4.39 Clause #242 (by clausification #[241]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.20/4.39 Eq
% 4.20/4.39 (And
% 4.20/4.39 (And
% 4.20/4.39 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 4.20/4.39 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 4.20/4.39 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 4.20/4.39 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)))
% 4.20/4.39 True
% 4.20/4.39 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
% 4.20/4.39 Clause #246 (by superposition #[244, 83]): Eq True False
% 4.20/4.39 Clause #247 (by clausification #[246]): False
% 4.20/4.39 SZS output end Proof for theBenchmark.p
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