TSTP Solution File: GEO249+3 by Duper---1.0
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% File : Duper---1.0
% Problem : GEO249+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 22:55:55 EDT 2023
% Result : Theorem 4.17s 4.35s
% Output : Proof 4.17s
% 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 : GEO249+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 19:33:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 4.17/4.35 SZS status Theorem for theBenchmark.p
% 4.17/4.35 SZS output start Proof for theBenchmark.p
% 4.17/4.35 Clause #1 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (right_apart_point X Y) (left_apart_point X (reverse_line Y))) True
% 4.17/4.35 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 4.17/4.35 Clause #36 (by assumption #[]): Eq
% 4.17/4.35 (Not
% 4.17/4.35 (∀ (A B L : Iota),
% 4.17/4.35 And (right_apart_point A L) (right_apart_point B (parallel_through_point L A)) → right_apart_point B L))
% 4.17/4.35 True
% 4.17/4.35 Clause #67 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (right_apart_point a Y) (left_apart_point a (reverse_line Y))) True
% 4.17/4.35 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota), Eq (Iff (right_apart_point a a_1) (left_apart_point a (reverse_line a_1))) True
% 4.17/4.35 Clause #70 (by clausification #[68]): ∀ (a a_1 : Iota), Or (Eq (right_apart_point a a_1) False) (Eq (left_apart_point a (reverse_line a_1)) True)
% 4.17/4.35 Clause #74 (by clausification #[36]): Eq
% 4.17/4.35 (∀ (A B L : Iota),
% 4.17/4.35 And (right_apart_point A L) (right_apart_point B (parallel_through_point L A)) → right_apart_point B L)
% 4.17/4.35 False
% 4.17/4.35 Clause #75 (by clausification #[74]): ∀ (a : Iota),
% 4.17/4.35 Eq
% 4.17/4.35 (Not
% 4.17/4.35 (∀ (B L : Iota),
% 4.17/4.35 And (right_apart_point (skS.0 0 a) L) (right_apart_point B (parallel_through_point L (skS.0 0 a))) →
% 4.17/4.35 right_apart_point B L))
% 4.17/4.35 True
% 4.17/4.35 Clause #76 (by clausification #[75]): ∀ (a : Iota),
% 4.17/4.35 Eq
% 4.17/4.35 (∀ (B L : Iota),
% 4.17/4.35 And (right_apart_point (skS.0 0 a) L) (right_apart_point B (parallel_through_point L (skS.0 0 a))) →
% 4.17/4.35 right_apart_point B L)
% 4.17/4.35 False
% 4.17/4.35 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota),
% 4.17/4.35 Eq
% 4.17/4.35 (Not
% 4.17/4.35 (∀ (L : Iota),
% 4.17/4.35 And (right_apart_point (skS.0 0 a) L)
% 4.17/4.35 (right_apart_point (skS.0 1 a a_1) (parallel_through_point L (skS.0 0 a))) →
% 4.17/4.35 right_apart_point (skS.0 1 a a_1) L))
% 4.17/4.35 True
% 4.17/4.35 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota),
% 4.17/4.35 Eq
% 4.17/4.35 (∀ (L : Iota),
% 4.17/4.35 And (right_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 1 a a_1) (parallel_through_point L (skS.0 0 a))) →
% 4.17/4.35 right_apart_point (skS.0 1 a a_1) L)
% 4.17/4.35 False
% 4.17/4.35 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.35 Eq
% 4.17/4.35 (Not
% 4.17/4.35 (And (right_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 4.17/4.35 (right_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) →
% 4.17/4.35 right_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.17/4.35 True
% 4.17/4.35 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.35 Eq
% 4.17/4.35 (And (right_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 4.17/4.35 (right_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) →
% 4.17/4.35 right_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 4.17/4.35 False
% 4.17/4.35 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.35 Eq
% 4.17/4.35 (And (right_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 4.17/4.35 (right_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))))
% 4.17/4.35 True
% 4.17/4.35 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.35 Eq (right_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) True
% 4.17/4.35 Clause #85 (by superposition #[83, 70]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.35 Or (Eq True False)
% 4.17/4.35 (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)
% 4.17/4.35 Clause #184 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True
% 4.17/4.35 Clause #185 (by clausification #[184]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True
% 4.17/4.35 Clause #186 (by clausification #[185]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False
% 4.17/4.35 Clause #188 (by clausification #[186]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 4.17/4.35 Clause #403 (by clausification #[85]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.35 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
% 4.17/4.35 Clause #404 (by superposition #[403, 188]): Eq True False
% 4.17/4.35 Clause #405 (by clausification #[404]): False
% 4.17/4.35 SZS output end Proof for theBenchmark.p
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