TSTP Solution File: GEO251+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 22:55:56 EDT 2023
% Result : Theorem 3.64s 4.02s
% Output : Proof 3.64s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.10/0.12 % Command : duper %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 22:36:14 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.64/4.02 SZS status Theorem for theBenchmark.p
% 3.64/4.02 SZS output start Proof for theBenchmark.p
% 3.64/4.02 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.64/4.02 Clause #31 (by assumption #[]): Eq
% 3.64/4.02 (Not
% 3.64/4.02 (∀ (A B L : Iota),
% 3.64/4.02 left_apart_point B (reverse_line (parallel_through_point L A)) → left_apart_point A (parallel_through_point L B)))
% 3.64/4.02 True
% 3.64/4.02 Clause #74 (by clausification #[31]): Eq
% 3.64/4.02 (∀ (A B L : Iota),
% 3.64/4.02 left_apart_point B (reverse_line (parallel_through_point L A)) → left_apart_point A (parallel_through_point L B))
% 3.64/4.02 False
% 3.64/4.02 Clause #75 (by clausification #[74]): ∀ (a : Iota),
% 3.64/4.02 Eq
% 3.64/4.02 (Not
% 3.64/4.02 (∀ (B L : Iota),
% 3.64/4.02 left_apart_point B (reverse_line (parallel_through_point L (skS.0 0 a))) →
% 3.64/4.02 left_apart_point (skS.0 0 a) (parallel_through_point L B)))
% 3.64/4.02 True
% 3.64/4.02 Clause #76 (by clausification #[75]): ∀ (a : Iota),
% 3.64/4.02 Eq
% 3.64/4.02 (∀ (B L : Iota),
% 3.64/4.02 left_apart_point B (reverse_line (parallel_through_point L (skS.0 0 a))) →
% 3.64/4.02 left_apart_point (skS.0 0 a) (parallel_through_point L B))
% 3.64/4.02 False
% 3.64/4.02 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota),
% 3.64/4.02 Eq
% 3.64/4.02 (Not
% 3.64/4.02 (∀ (L : Iota),
% 3.64/4.02 left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point L (skS.0 0 a))) →
% 3.64/4.02 left_apart_point (skS.0 0 a) (parallel_through_point L (skS.0 1 a a_1))))
% 3.64/4.02 True
% 3.64/4.02 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota),
% 3.64/4.02 Eq
% 3.64/4.02 (∀ (L : Iota),
% 3.64/4.02 left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point L (skS.0 0 a))) →
% 3.64/4.02 left_apart_point (skS.0 0 a) (parallel_through_point L (skS.0 1 a a_1)))
% 3.64/4.02 False
% 3.64/4.02 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota),
% 3.64/4.02 Eq
% 3.64/4.02 (Not
% 3.64/4.02 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) →
% 3.64/4.02 left_apart_point (skS.0 0 a) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))))
% 3.64/4.02 True
% 3.64/4.02 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota),
% 3.64/4.02 Eq
% 3.64/4.02 (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) →
% 3.64/4.02 left_apart_point (skS.0 0 a) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 3.64/4.02 False
% 3.64/4.02 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota),
% 3.64/4.02 Eq (left_apart_point (skS.0 1 a a_1) (reverse_line (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))) True
% 3.64/4.02 Clause #153 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True
% 3.64/4.02 Clause #154 (by clausification #[153]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True
% 3.64/4.02 Clause #155 (by clausification #[154]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False
% 3.64/4.02 Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota), Eq (left_apart_point a (reverse_line a_1)) False
% 3.64/4.02 Clause #160 (by superposition #[156, 81]): Eq False True
% 3.64/4.02 Clause #161 (by clausification #[160]): False
% 3.64/4.02 SZS output end Proof for theBenchmark.p
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