TSTP Solution File: GEO246+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO246+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 22:55:54 EDT 2023
% Result : Theorem 3.96s 4.19s
% Output : Proof 3.96s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO246+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.12/0.14 % 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 23:25:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.96/4.19 SZS status Theorem for theBenchmark.p
% 3.96/4.19 SZS output start Proof for theBenchmark.p
% 3.96/4.19 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.96/4.19 Clause #31 (by assumption #[]): Eq
% 3.96/4.19 (Not
% 3.96/4.19 (∀ (A B C : Iota),
% 3.96/4.19 distinct_points A B →
% 3.96/4.19 left_apart_point C (reverse_line (line_connecting A B)) → left_apart_point B (line_connecting A C)))
% 3.96/4.19 True
% 3.96/4.19 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
% 3.96/4.19 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
% 3.96/4.19 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
% 3.96/4.19 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 3.96/4.19 Clause #140 (by clausification #[31]): Eq
% 3.96/4.19 (∀ (A B C : Iota),
% 3.96/4.19 distinct_points A B →
% 3.96/4.19 left_apart_point C (reverse_line (line_connecting A B)) → left_apart_point B (line_connecting A C))
% 3.96/4.19 False
% 3.96/4.19 Clause #141 (by clausification #[140]): ∀ (a : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (Not
% 3.96/4.19 (∀ (B C : Iota),
% 3.96/4.19 distinct_points (skS.0 0 a) B →
% 3.96/4.19 left_apart_point C (reverse_line (line_connecting (skS.0 0 a) B)) →
% 3.96/4.19 left_apart_point B (line_connecting (skS.0 0 a) C)))
% 3.96/4.19 True
% 3.96/4.19 Clause #142 (by clausification #[141]): ∀ (a : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (∀ (B C : Iota),
% 3.96/4.19 distinct_points (skS.0 0 a) B →
% 3.96/4.19 left_apart_point C (reverse_line (line_connecting (skS.0 0 a) B)) →
% 3.96/4.19 left_apart_point B (line_connecting (skS.0 0 a) C))
% 3.96/4.19 False
% 3.96/4.19 Clause #143 (by clausification #[142]): ∀ (a a_1 : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (Not
% 3.96/4.19 (∀ (C : Iota),
% 3.96/4.19 distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.19 left_apart_point C (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.19 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) C)))
% 3.96/4.19 True
% 3.96/4.19 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (∀ (C : Iota),
% 3.96/4.19 distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.19 left_apart_point C (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.19 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) C))
% 3.96/4.19 False
% 3.96/4.19 Clause #145 (by clausification #[144]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (Not
% 3.96/4.19 (distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.19 left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.19 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 3.96/4.19 True
% 3.96/4.19 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.19 left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.19 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 3.96/4.19 False
% 3.96/4.19 Clause #148 (by clausification #[146]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.19 left_apart_point (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 3.96/4.19 False
% 3.96/4.19 Clause #305 (by clausification #[148]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.19 Eq (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) True
% 3.96/4.19 Clause #307 (by superposition #[305, 83]): Eq True False
% 3.96/4.19 Clause #308 (by clausification #[307]): False
% 3.96/4.19 SZS output end Proof for theBenchmark.p
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