TSTP Solution File: GEO245+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : GEO245+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 22:55:54 EDT 2023
% Result : Theorem 3.99s 4.17s
% Output : Proof 3.99s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO245+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n020.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 20:46:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.99/4.17 SZS status Theorem for theBenchmark.p
% 3.99/4.17 SZS output start Proof for theBenchmark.p
% 3.99/4.17 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.99/4.17 Clause #31 (by assumption #[]): Eq
% 3.99/4.17 (Not
% 3.99/4.17 (∀ (A B C : Iota),
% 3.99/4.17 distinct_points A B →
% 3.99/4.17 left_apart_point C (line_connecting A B) → left_apart_point B (reverse_line (line_connecting A C))))
% 3.99/4.17 True
% 3.99/4.17 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
% 3.99/4.17 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
% 3.99/4.17 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
% 3.99/4.17 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 3.99/4.17 Clause #175 (by clausification #[31]): Eq
% 3.99/4.17 (∀ (A B C : Iota),
% 3.99/4.17 distinct_points A B →
% 3.99/4.17 left_apart_point C (line_connecting A B) → left_apart_point B (reverse_line (line_connecting A C)))
% 3.99/4.17 False
% 3.99/4.17 Clause #176 (by clausification #[175]): ∀ (a : Iota),
% 3.99/4.17 Eq
% 3.99/4.17 (Not
% 3.99/4.17 (∀ (B C : Iota),
% 3.99/4.17 distinct_points (skS.0 0 a) B →
% 3.99/4.17 left_apart_point C (line_connecting (skS.0 0 a) B) →
% 3.99/4.17 left_apart_point B (reverse_line (line_connecting (skS.0 0 a) C))))
% 3.99/4.17 True
% 3.99/4.17 Clause #177 (by clausification #[176]): ∀ (a : Iota),
% 3.99/4.17 Eq
% 3.99/4.17 (∀ (B C : Iota),
% 3.99/4.17 distinct_points (skS.0 0 a) B →
% 3.99/4.17 left_apart_point C (line_connecting (skS.0 0 a) B) →
% 3.99/4.17 left_apart_point B (reverse_line (line_connecting (skS.0 0 a) C)))
% 3.99/4.17 False
% 3.99/4.17 Clause #178 (by clausification #[177]): ∀ (a a_1 : Iota),
% 3.99/4.17 Eq
% 3.99/4.17 (Not
% 3.99/4.17 (∀ (C : Iota),
% 3.99/4.17 distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 3.99/4.17 left_apart_point C (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.99/4.17 left_apart_point (skS.0 1 a a_1) (reverse_line (line_connecting (skS.0 0 a) C))))
% 3.99/4.17 True
% 3.99/4.17 Clause #179 (by clausification #[178]): ∀ (a a_1 : Iota),
% 3.99/4.17 Eq
% 3.99/4.17 (∀ (C : Iota),
% 3.99/4.17 distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 3.99/4.17 left_apart_point C (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.99/4.17 left_apart_point (skS.0 1 a a_1) (reverse_line (line_connecting (skS.0 0 a) C)))
% 3.99/4.17 False
% 3.99/4.17 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 : Iota),
% 3.99/4.17 Eq
% 3.99/4.17 (Not
% 3.99/4.17 (distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 3.99/4.17 left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.99/4.17 left_apart_point (skS.0 1 a a_1) (reverse_line (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2)))))
% 3.99/4.17 True
% 3.99/4.17 Clause #181 (by clausification #[180]): ∀ (a a_1 a_2 : Iota),
% 3.99/4.17 Eq
% 3.99/4.17 (distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 3.99/4.17 left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.99/4.17 left_apart_point (skS.0 1 a a_1) (reverse_line (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 3.99/4.17 False
% 3.99/4.17 Clause #183 (by clausification #[181]): ∀ (a a_1 a_2 : Iota),
% 3.99/4.17 Eq
% 3.99/4.17 (left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.99/4.17 left_apart_point (skS.0 1 a a_1) (reverse_line (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 3.99/4.17 False
% 3.99/4.17 Clause #281 (by clausification #[183]): ∀ (a a_1 a_2 : Iota), Eq (left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.99/4.17 Clause #283 (by superposition #[281, 83]): Eq True False
% 3.99/4.17 Clause #284 (by clausification #[283]): False
% 3.99/4.17 SZS output end Proof for theBenchmark.p
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