TSTP Solution File: GEO237+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 22:55:50 EDT 2023
% Result : Theorem 3.96s 4.18s
% 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
% 0.05/0.10 % Problem : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.05/0.10 % Command : duper %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 29 23:54:02 EDT 2023
% 0.10/0.30 % CPUTime :
% 3.96/4.18 SZS status Theorem for theBenchmark.p
% 3.96/4.18 SZS output start Proof for theBenchmark.p
% 3.96/4.18 Clause #2 (by assumption #[]): Eq
% 3.96/4.18 (∀ (A B L : Iota),
% 3.96/4.18 Iff (divides_points L A B)
% 3.96/4.18 (Or (And (left_apart_point A L) (left_apart_point B (reverse_line L)))
% 3.96/4.18 (And (left_apart_point A (reverse_line L)) (left_apart_point B L))))
% 3.96/4.18 True
% 3.96/4.18 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.96/4.18 Clause #31 (by assumption #[]): Eq
% 3.96/4.18 (Not
% 3.96/4.18 (∀ (A B C L : Iota),
% 3.96/4.18 apart_point_and_line C L → divides_points L A B → Or (divides_points L A C) (divides_points L B C)))
% 3.96/4.18 True
% 3.96/4.18 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
% 3.96/4.18 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
% 3.96/4.18 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
% 3.96/4.18 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 3.96/4.18 Clause #85 (by clausification #[2]): ∀ (a : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (∀ (B L : Iota),
% 3.96/4.18 Iff (divides_points L a B)
% 3.96/4.18 (Or (And (left_apart_point a L) (left_apart_point B (reverse_line L)))
% 3.96/4.18 (And (left_apart_point a (reverse_line L)) (left_apart_point B L))))
% 3.96/4.18 True
% 3.96/4.18 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (∀ (L : Iota),
% 3.96/4.18 Iff (divides_points L a a_1)
% 3.96/4.18 (Or (And (left_apart_point a L) (left_apart_point a_1 (reverse_line L)))
% 3.96/4.18 (And (left_apart_point a (reverse_line L)) (left_apart_point a_1 L))))
% 3.96/4.18 True
% 3.96/4.18 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (Iff (divides_points a a_1 a_2)
% 3.96/4.18 (Or (And (left_apart_point a_1 a) (left_apart_point a_2 (reverse_line a)))
% 3.96/4.18 (And (left_apart_point a_1 (reverse_line a)) (left_apart_point a_2 a))))
% 3.96/4.18 True
% 3.96/4.18 Clause #89 (by clausification #[87]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Or (Eq (divides_points a a_1 a_2) False)
% 3.96/4.18 (Eq
% 3.96/4.18 (Or (And (left_apart_point a_1 a) (left_apart_point a_2 (reverse_line a)))
% 3.96/4.18 (And (left_apart_point a_1 (reverse_line a)) (left_apart_point a_2 a)))
% 3.96/4.18 True)
% 3.96/4.18 Clause #231 (by clausification #[31]): Eq
% 3.96/4.18 (∀ (A B C L : Iota),
% 3.96/4.18 apart_point_and_line C L → divides_points L A B → Or (divides_points L A C) (divides_points L B C))
% 3.96/4.18 False
% 3.96/4.18 Clause #232 (by clausification #[231]): ∀ (a : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (Not
% 3.96/4.18 (∀ (B C L : Iota),
% 3.96/4.18 apart_point_and_line C L →
% 3.96/4.18 divides_points L (skS.0 0 a) B → Or (divides_points L (skS.0 0 a) C) (divides_points L B C)))
% 3.96/4.18 True
% 3.96/4.18 Clause #233 (by clausification #[232]): ∀ (a : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (∀ (B C L : Iota),
% 3.96/4.18 apart_point_and_line C L →
% 3.96/4.18 divides_points L (skS.0 0 a) B → Or (divides_points L (skS.0 0 a) C) (divides_points L B C))
% 3.96/4.18 False
% 3.96/4.18 Clause #234 (by clausification #[233]): ∀ (a a_1 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (Not
% 3.96/4.18 (∀ (C L : Iota),
% 3.96/4.18 apart_point_and_line C L →
% 3.96/4.18 divides_points L (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.18 Or (divides_points L (skS.0 0 a) C) (divides_points L (skS.0 1 a a_1) C)))
% 3.96/4.18 True
% 3.96/4.18 Clause #235 (by clausification #[234]): ∀ (a a_1 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (∀ (C L : Iota),
% 3.96/4.18 apart_point_and_line C L →
% 3.96/4.18 divides_points L (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.18 Or (divides_points L (skS.0 0 a) C) (divides_points L (skS.0 1 a a_1) C))
% 3.96/4.18 False
% 3.96/4.18 Clause #236 (by clausification #[235]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (Not
% 3.96/4.18 (∀ (L : Iota),
% 3.96/4.18 apart_point_and_line (skS.0 2 a a_1 a_2) L →
% 3.96/4.18 divides_points L (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.18 Or (divides_points L (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 3.96/4.18 (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 3.96/4.18 True
% 3.96/4.18 Clause #237 (by clausification #[236]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (∀ (L : Iota),
% 3.96/4.18 apart_point_and_line (skS.0 2 a a_1 a_2) L →
% 3.96/4.18 divides_points L (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.18 Or (divides_points L (skS.0 0 a) (skS.0 2 a a_1 a_2)) (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.96/4.19 False
% 3.96/4.19 Clause #238 (by clausification #[237]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (Not
% 3.96/4.19 (apart_point_and_line (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) →
% 3.96/4.19 divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.19 Or (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 3.96/4.19 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 3.96/4.19 True
% 3.96/4.19 Clause #239 (by clausification #[238]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (apart_point_and_line (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) →
% 3.96/4.19 divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.19 Or (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 3.96/4.19 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.96/4.19 False
% 3.96/4.19 Clause #241 (by clausification #[239]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.19 Eq
% 3.96/4.19 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) →
% 3.96/4.19 Or (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 3.96/4.19 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.96/4.19 False
% 3.96/4.19 Clause #245 (by clausification #[89]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.19 Or (Eq (divides_points a a_1 a_2) False)
% 3.96/4.19 (Or (Eq (And (left_apart_point a_1 a) (left_apart_point a_2 (reverse_line a))) True)
% 3.96/4.19 (Eq (And (left_apart_point a_1 (reverse_line a)) (left_apart_point a_2 a)) True))
% 3.96/4.19 Clause #246 (by clausification #[245]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.19 Or (Eq (divides_points a a_1 a_2) False)
% 3.96/4.19 (Or (Eq (And (left_apart_point a_1 (reverse_line a)) (left_apart_point a_2 a)) True)
% 3.96/4.19 (Eq (left_apart_point a_2 (reverse_line a)) True))
% 3.96/4.19 Clause #248 (by clausification #[246]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.19 Or (Eq (divides_points a a_1 a_2) False)
% 3.96/4.19 (Or (Eq (left_apart_point a_2 (reverse_line a)) True) (Eq (left_apart_point a_2 a) True))
% 3.96/4.19 Clause #250 (by forward demodulation #[248, 83]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Or (Eq False True) (Eq (left_apart_point a_2 a) True))
% 3.96/4.19 Clause #251 (by clausification #[250]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq (left_apart_point a_2 a) True)
% 3.96/4.19 Clause #252 (by forward demodulation #[251, 83]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq False True)
% 3.96/4.19 Clause #253 (by clausification #[252]): ∀ (a a_1 a_2 : Iota), Eq (divides_points a a_1 a_2) False
% 3.96/4.19 Clause #266 (by clausification #[241]): ∀ (a a_1 a_2 a_3 : Iota), Eq (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.96/4.19 Clause #268 (by superposition #[266, 253]): Eq True False
% 3.96/4.19 Clause #269 (by clausification #[268]): False
% 3.96/4.19 SZS output end Proof for theBenchmark.p
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