TSTP Solution File: GEO264+3 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO264+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 22:56:01 EDT 2023
% Result : Theorem 4.10s 4.28s
% Output : Proof 4.10s
% 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 : GEO264+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n024.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 : Tue Aug 29 23:17:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.10/4.28 SZS status Theorem for theBenchmark.p
% 4.10/4.28 SZS output start Proof for theBenchmark.p
% 4.10/4.28 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 4.10/4.28 Clause #36 (by assumption #[]): Eq
% 4.10/4.28 (Not
% 4.10/4.28 (∀ (A B C D : Iota),
% 4.10/4.28 left_apart_point C (line_connecting A B) →
% 4.10/4.28 And (right_apart_point D (line_connecting B C)) (right_apart_point D (line_connecting C A)) →
% 4.10/4.28 left_apart_point D (line_connecting A B)))
% 4.10/4.28 True
% 4.10/4.28 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
% 4.10/4.28 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
% 4.10/4.28 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
% 4.10/4.28 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 4.10/4.28 Clause #296 (by clausification #[36]): Eq
% 4.10/4.28 (∀ (A B C D : Iota),
% 4.10/4.28 left_apart_point C (line_connecting A B) →
% 4.10/4.28 And (right_apart_point D (line_connecting B C)) (right_apart_point D (line_connecting C A)) →
% 4.10/4.28 left_apart_point D (line_connecting A B))
% 4.10/4.28 False
% 4.10/4.28 Clause #297 (by clausification #[296]): ∀ (a : Iota),
% 4.10/4.28 Eq
% 4.10/4.28 (Not
% 4.10/4.28 (∀ (B C D : Iota),
% 4.10/4.28 left_apart_point C (line_connecting (skS.0 0 a) B) →
% 4.10/4.28 And (right_apart_point D (line_connecting B C)) (right_apart_point D (line_connecting C (skS.0 0 a))) →
% 4.10/4.28 left_apart_point D (line_connecting (skS.0 0 a) B)))
% 4.10/4.28 True
% 4.10/4.28 Clause #298 (by clausification #[297]): ∀ (a : Iota),
% 4.10/4.28 Eq
% 4.10/4.28 (∀ (B C D : Iota),
% 4.10/4.28 left_apart_point C (line_connecting (skS.0 0 a) B) →
% 4.10/4.28 And (right_apart_point D (line_connecting B C)) (right_apart_point D (line_connecting C (skS.0 0 a))) →
% 4.10/4.28 left_apart_point D (line_connecting (skS.0 0 a) B))
% 4.10/4.28 False
% 4.10/4.28 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota),
% 4.10/4.28 Eq
% 4.10/4.28 (Not
% 4.10/4.28 (∀ (C D : Iota),
% 4.10/4.28 left_apart_point C (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 4.10/4.28 And (right_apart_point D (line_connecting (skS.0 1 a a_1) C))
% 4.10/4.28 (right_apart_point D (line_connecting C (skS.0 0 a))) →
% 4.10/4.28 left_apart_point D (line_connecting (skS.0 0 a) (skS.0 1 a a_1))))
% 4.10/4.28 True
% 4.10/4.28 Clause #300 (by clausification #[299]): ∀ (a a_1 : Iota),
% 4.10/4.28 Eq
% 4.10/4.28 (∀ (C D : Iota),
% 4.10/4.28 left_apart_point C (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 4.10/4.28 And (right_apart_point D (line_connecting (skS.0 1 a a_1) C))
% 4.10/4.28 (right_apart_point D (line_connecting C (skS.0 0 a))) →
% 4.10/4.28 left_apart_point D (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))
% 4.10/4.28 False
% 4.10/4.28 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 : Iota),
% 4.10/4.28 Eq
% 4.10/4.28 (Not
% 4.10/4.28 (∀ (D : Iota),
% 4.10/4.28 left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 4.10/4.28 And (right_apart_point D (line_connecting (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.10/4.28 (right_apart_point D (line_connecting (skS.0 2 a a_1 a_2) (skS.0 0 a))) →
% 4.10/4.28 left_apart_point D (line_connecting (skS.0 0 a) (skS.0 1 a a_1))))
% 4.10/4.28 True
% 4.10/4.28 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 : Iota),
% 4.10/4.28 Eq
% 4.10/4.28 (∀ (D : Iota),
% 4.10/4.28 left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 4.10/4.28 And (right_apart_point D (line_connecting (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.10/4.28 (right_apart_point D (line_connecting (skS.0 2 a a_1 a_2) (skS.0 0 a))) →
% 4.10/4.28 left_apart_point D (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))
% 4.10/4.28 False
% 4.10/4.28 Clause #303 (by clausification #[302]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.10/4.28 Eq
% 4.10/4.28 (Not
% 4.10/4.28 (left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 4.10/4.28 And (right_apart_point (skS.0 3 a a_1 a_2 a_3) (line_connecting (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.10/4.28 (right_apart_point (skS.0 3 a a_1 a_2 a_3) (line_connecting (skS.0 2 a a_1 a_2) (skS.0 0 a))) →
% 4.10/4.28 left_apart_point (skS.0 3 a a_1 a_2 a_3) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))))
% 4.10/4.29 True
% 4.10/4.29 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.10/4.29 Eq
% 4.10/4.29 (left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 4.10/4.29 And (right_apart_point (skS.0 3 a a_1 a_2 a_3) (line_connecting (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.10/4.29 (right_apart_point (skS.0 3 a a_1 a_2 a_3) (line_connecting (skS.0 2 a a_1 a_2) (skS.0 0 a))) →
% 4.10/4.29 left_apart_point (skS.0 3 a a_1 a_2 a_3) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))
% 4.10/4.29 False
% 4.10/4.29 Clause #305 (by clausification #[304]): ∀ (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
% 4.10/4.29 Clause #307 (by superposition #[305, 167]): Eq True False
% 4.10/4.29 Clause #329 (by clausification #[307]): False
% 4.10/4.29 SZS output end Proof for theBenchmark.p
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