TSTP Solution File: GEO243+3 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : GEO243+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 22:55:53 EDT 2023
% Result : Theorem 5.81s 6.02s
% Output : Proof 5.81s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO243+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:51:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 5.81/6.02 SZS status Theorem for theBenchmark.p
% 5.81/6.02 SZS output start Proof for theBenchmark.p
% 5.81/6.02 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 5.81/6.02 Clause #36 (by assumption #[]): Eq
% 5.81/6.02 (Not
% 5.81/6.02 (∀ (A B C : Iota),
% 5.81/6.02 distinct_points A B → left_apart_point C (line_connecting A B) → right_apart_point C (line_connecting B A)))
% 5.81/6.02 True
% 5.81/6.02 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
% 5.81/6.02 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
% 5.81/6.02 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
% 5.81/6.02 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 5.81/6.02 Clause #258 (by clausification #[36]): Eq
% 5.81/6.02 (∀ (A B C : Iota),
% 5.81/6.02 distinct_points A B → left_apart_point C (line_connecting A B) → right_apart_point C (line_connecting B A))
% 5.81/6.02 False
% 5.81/6.02 Clause #259 (by clausification #[258]): ∀ (a : Iota),
% 5.81/6.02 Eq
% 5.81/6.02 (Not
% 5.81/6.02 (∀ (B C : Iota),
% 5.81/6.02 distinct_points (skS.0 0 a) B →
% 5.81/6.02 left_apart_point C (line_connecting (skS.0 0 a) B) → right_apart_point C (line_connecting B (skS.0 0 a))))
% 5.81/6.02 True
% 5.81/6.02 Clause #260 (by clausification #[259]): ∀ (a : Iota),
% 5.81/6.02 Eq
% 5.81/6.02 (∀ (B C : Iota),
% 5.81/6.02 distinct_points (skS.0 0 a) B →
% 5.81/6.02 left_apart_point C (line_connecting (skS.0 0 a) B) → right_apart_point C (line_connecting B (skS.0 0 a)))
% 5.81/6.02 False
% 5.81/6.02 Clause #261 (by clausification #[260]): ∀ (a a_1 : Iota),
% 5.81/6.02 Eq
% 5.81/6.02 (Not
% 5.81/6.02 (∀ (C : Iota),
% 5.81/6.02 distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 5.81/6.02 left_apart_point C (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 5.81/6.02 right_apart_point C (line_connecting (skS.0 1 a a_1) (skS.0 0 a))))
% 5.81/6.02 True
% 5.81/6.02 Clause #262 (by clausification #[261]): ∀ (a a_1 : Iota),
% 5.81/6.02 Eq
% 5.81/6.02 (∀ (C : Iota),
% 5.81/6.02 distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 5.81/6.02 left_apart_point C (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 5.81/6.02 right_apart_point C (line_connecting (skS.0 1 a a_1) (skS.0 0 a)))
% 5.81/6.02 False
% 5.81/6.02 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 : Iota),
% 5.81/6.02 Eq
% 5.81/6.02 (Not
% 5.81/6.02 (distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 5.81/6.02 left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 5.81/6.02 right_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 1 a a_1) (skS.0 0 a))))
% 5.81/6.02 True
% 5.81/6.02 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 : Iota),
% 5.81/6.02 Eq
% 5.81/6.02 (distinct_points (skS.0 0 a) (skS.0 1 a a_1) →
% 5.81/6.02 left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 5.81/6.02 right_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 1 a a_1) (skS.0 0 a)))
% 5.81/6.02 False
% 5.81/6.02 Clause #266 (by clausification #[264]): ∀ (a a_1 a_2 : Iota),
% 5.81/6.02 Eq
% 5.81/6.02 (left_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)) →
% 5.81/6.02 right_apart_point (skS.0 2 a a_1 a_2) (line_connecting (skS.0 1 a a_1) (skS.0 0 a)))
% 5.81/6.02 False
% 5.81/6.02 Clause #1053 (by clausification #[266]): ∀ (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
% 5.81/6.02 Clause #1055 (by superposition #[1053, 167]): Eq True False
% 5.81/6.02 Clause #1056 (by clausification #[1055]): False
% 5.81/6.02 SZS output end Proof for theBenchmark.p
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