TSTP Solution File: GEO237+3 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 22:55:51 EDT 2023
% Result : Theorem 26.71s 26.95s
% Output : Proof 26.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n002.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 23:29:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 26.71/26.95 SZS status Theorem for theBenchmark.p
% 26.71/26.95 SZS output start Proof for theBenchmark.p
% 26.71/26.95 Clause #7 (by assumption #[]): Eq
% 26.71/26.95 (∀ (A B L : Iota),
% 26.71/26.95 Iff (divides_points L A B)
% 26.71/26.95 (Or (And (left_apart_point A L) (right_apart_point B L)) (And (right_apart_point A L) (left_apart_point B L))))
% 26.71/26.95 True
% 26.71/26.95 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 26.71/26.95 Clause #36 (by assumption #[]): Eq
% 26.71/26.95 (Not
% 26.71/26.95 (∀ (A B C L : Iota),
% 26.71/26.95 apart_point_and_line C L → divides_points L A B → Or (divides_points L A C) (divides_points L B C)))
% 26.71/26.95 True
% 26.71/26.95 Clause #132 (by clausification #[7]): ∀ (a : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (∀ (B L : Iota),
% 26.71/26.95 Iff (divides_points L a B)
% 26.71/26.95 (Or (And (left_apart_point a L) (right_apart_point B L)) (And (right_apart_point a L) (left_apart_point B L))))
% 26.71/26.95 True
% 26.71/26.95 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (∀ (L : Iota),
% 26.71/26.95 Iff (divides_points L a a_1)
% 26.71/26.95 (Or (And (left_apart_point a L) (right_apart_point a_1 L))
% 26.71/26.95 (And (right_apart_point a L) (left_apart_point a_1 L))))
% 26.71/26.95 True
% 26.71/26.95 Clause #134 (by clausification #[133]): ∀ (a a_1 a_2 : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (Iff (divides_points a a_1 a_2)
% 26.71/26.95 (Or (And (left_apart_point a_1 a) (right_apart_point a_2 a))
% 26.71/26.95 (And (right_apart_point a_1 a) (left_apart_point a_2 a))))
% 26.71/26.95 True
% 26.71/26.95 Clause #136 (by clausification #[134]): ∀ (a a_1 a_2 : Iota),
% 26.71/26.95 Or (Eq (divides_points a a_1 a_2) False)
% 26.71/26.95 (Eq
% 26.71/26.95 (Or (And (left_apart_point a_1 a) (right_apart_point a_2 a))
% 26.71/26.95 (And (right_apart_point a_1 a) (left_apart_point a_2 a)))
% 26.71/26.95 True)
% 26.71/26.95 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
% 26.71/26.95 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
% 26.71/26.95 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
% 26.71/26.95 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 26.71/26.95 Clause #361 (by clausification #[36]): Eq
% 26.71/26.95 (∀ (A B C L : Iota),
% 26.71/26.95 apart_point_and_line C L → divides_points L A B → Or (divides_points L A C) (divides_points L B C))
% 26.71/26.95 False
% 26.71/26.95 Clause #362 (by clausification #[361]): ∀ (a : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (Not
% 26.71/26.95 (∀ (B C L : Iota),
% 26.71/26.95 apart_point_and_line C L →
% 26.71/26.95 divides_points L (skS.0 0 a) B → Or (divides_points L (skS.0 0 a) C) (divides_points L B C)))
% 26.71/26.95 True
% 26.71/26.95 Clause #363 (by clausification #[362]): ∀ (a : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (∀ (B C L : Iota),
% 26.71/26.95 apart_point_and_line C L →
% 26.71/26.95 divides_points L (skS.0 0 a) B → Or (divides_points L (skS.0 0 a) C) (divides_points L B C))
% 26.71/26.95 False
% 26.71/26.95 Clause #364 (by clausification #[363]): ∀ (a a_1 : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (Not
% 26.71/26.95 (∀ (C L : Iota),
% 26.71/26.95 apart_point_and_line C L →
% 26.71/26.95 divides_points L (skS.0 0 a) (skS.0 1 a a_1) →
% 26.71/26.95 Or (divides_points L (skS.0 0 a) C) (divides_points L (skS.0 1 a a_1) C)))
% 26.71/26.95 True
% 26.71/26.95 Clause #365 (by clausification #[364]): ∀ (a a_1 : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (∀ (C L : Iota),
% 26.71/26.95 apart_point_and_line C L →
% 26.71/26.95 divides_points L (skS.0 0 a) (skS.0 1 a a_1) →
% 26.71/26.95 Or (divides_points L (skS.0 0 a) C) (divides_points L (skS.0 1 a a_1) C))
% 26.71/26.95 False
% 26.71/26.95 Clause #366 (by clausification #[365]): ∀ (a a_1 a_2 : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (Not
% 26.71/26.95 (∀ (L : Iota),
% 26.71/26.95 apart_point_and_line (skS.0 2 a a_1 a_2) L →
% 26.71/26.95 divides_points L (skS.0 0 a) (skS.0 1 a a_1) →
% 26.71/26.95 Or (divides_points L (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 26.71/26.95 (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 26.71/26.95 True
% 26.71/26.95 Clause #367 (by clausification #[366]): ∀ (a a_1 a_2 : Iota),
% 26.71/26.95 Eq
% 26.71/26.95 (∀ (L : Iota),
% 26.71/26.95 apart_point_and_line (skS.0 2 a a_1 a_2) L →
% 26.71/26.95 divides_points L (skS.0 0 a) (skS.0 1 a a_1) →
% 26.71/26.95 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)))
% 26.71/26.95 False
% 26.71/26.95 Clause #368 (by clausification #[367]): ∀ (a a_1 a_2 a_3 : Iota),
% 26.86/27.03 Eq
% 26.86/27.03 (Not
% 26.86/27.03 (apart_point_and_line (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) →
% 26.86/27.03 divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) →
% 26.86/27.03 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))
% 26.86/27.03 (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))))
% 26.86/27.03 True
% 26.86/27.03 Clause #369 (by clausification #[368]): ∀ (a a_1 a_2 a_3 : Iota),
% 26.86/27.03 Eq
% 26.86/27.03 (apart_point_and_line (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) →
% 26.86/27.03 divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) →
% 26.86/27.03 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))
% 26.86/27.03 (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)))
% 26.86/27.03 False
% 26.86/27.03 Clause #371 (by clausification #[369]): ∀ (a a_1 a_2 a_3 : Iota),
% 26.86/27.03 Eq
% 26.86/27.03 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) →
% 26.86/27.03 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))
% 26.86/27.03 (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)))
% 26.86/27.03 False
% 26.86/27.03 Clause #489 (by clausification #[136]): ∀ (a a_1 a_2 : Iota),
% 26.86/27.03 Or (Eq (divides_points a a_1 a_2) False)
% 26.86/27.03 (Or (Eq (And (left_apart_point a_1 a) (right_apart_point a_2 a)) True)
% 26.86/27.03 (Eq (And (right_apart_point a_1 a) (left_apart_point a_2 a)) True))
% 26.86/27.03 Clause #491 (by clausification #[489]): ∀ (a a_1 a_2 : Iota),
% 26.86/27.03 Or (Eq (divides_points a a_1 a_2) False)
% 26.86/27.03 (Or (Eq (And (right_apart_point a_1 a) (left_apart_point a_2 a)) True) (Eq (left_apart_point a_1 a) True))
% 26.86/27.03 Clause #3293 (by clausification #[371]): ∀ (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
% 26.86/27.03 Clause #8493 (by clausification #[491]): ∀ (a a_1 a_2 : Iota),
% 26.86/27.03 Or (Eq (divides_points a a_1 a_2) False) (Or (Eq (left_apart_point a_1 a) True) (Eq (left_apart_point a_2 a) True))
% 26.86/27.03 Clause #8495 (by forward demodulation #[8493, 167]): ∀ (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))
% 26.86/27.03 Clause #8496 (by clausification #[8495]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq (left_apart_point a_2 a) True)
% 26.86/27.03 Clause #8497 (by forward demodulation #[8496, 167]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq False True)
% 26.86/27.03 Clause #8498 (by clausification #[8497]): ∀ (a a_1 a_2 : Iota), Eq (divides_points a a_1 a_2) False
% 26.86/27.03 Clause #8499 (by superposition #[8498, 3293]): Eq False True
% 26.86/27.03 Clause #8500 (by clausification #[8499]): False
% 26.86/27.03 SZS output end Proof for theBenchmark.p
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