TSTP Solution File: GEO238+3 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 23.25s 23.47s
% Output : Proof 23.25s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 19:25:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 23.25/23.47 SZS status Theorem for theBenchmark.p
% 23.25/23.47 SZS output start Proof for theBenchmark.p
% 23.25/23.47 Clause #7 (by assumption #[]): Eq
% 23.25/23.47 (∀ (A B L : Iota),
% 23.25/23.47 Iff (divides_points L A B)
% 23.25/23.47 (Or (And (left_apart_point A L) (right_apart_point B L)) (And (right_apart_point A L) (left_apart_point B L))))
% 23.25/23.47 True
% 23.25/23.47 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 23.25/23.47 Clause #36 (by assumption #[]): Eq (Not (∀ (A B C L : Iota), And (divides_points L A B) (divides_points L A C) → Not (divides_points L B C))) True
% 23.25/23.47 Clause #132 (by clausification #[7]): ∀ (a : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (∀ (B L : Iota),
% 23.25/23.47 Iff (divides_points L a B)
% 23.25/23.47 (Or (And (left_apart_point a L) (right_apart_point B L)) (And (right_apart_point a L) (left_apart_point B L))))
% 23.25/23.47 True
% 23.25/23.47 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (∀ (L : Iota),
% 23.25/23.47 Iff (divides_points L a a_1)
% 23.25/23.47 (Or (And (left_apart_point a L) (right_apart_point a_1 L))
% 23.25/23.47 (And (right_apart_point a L) (left_apart_point a_1 L))))
% 23.25/23.47 True
% 23.25/23.47 Clause #134 (by clausification #[133]): ∀ (a a_1 a_2 : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (Iff (divides_points a a_1 a_2)
% 23.25/23.47 (Or (And (left_apart_point a_1 a) (right_apart_point a_2 a))
% 23.25/23.47 (And (right_apart_point a_1 a) (left_apart_point a_2 a))))
% 23.25/23.47 True
% 23.25/23.47 Clause #136 (by clausification #[134]): ∀ (a a_1 a_2 : Iota),
% 23.25/23.47 Or (Eq (divides_points a a_1 a_2) False)
% 23.25/23.47 (Eq
% 23.25/23.47 (Or (And (left_apart_point a_1 a) (right_apart_point a_2 a))
% 23.25/23.47 (And (right_apart_point a_1 a) (left_apart_point a_2 a)))
% 23.25/23.47 True)
% 23.25/23.47 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
% 23.25/23.47 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
% 23.25/23.47 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
% 23.25/23.47 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 23.25/23.47 Clause #258 (by clausification #[36]): Eq (∀ (A B C L : Iota), And (divides_points L A B) (divides_points L A C) → Not (divides_points L B C)) False
% 23.25/23.47 Clause #259 (by clausification #[258]): ∀ (a : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (Not
% 23.25/23.47 (∀ (B C L : Iota),
% 23.25/23.47 And (divides_points L (skS.0 0 a) B) (divides_points L (skS.0 0 a) C) → Not (divides_points L B C)))
% 23.25/23.47 True
% 23.25/23.47 Clause #260 (by clausification #[259]): ∀ (a : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (∀ (B C L : Iota),
% 23.25/23.47 And (divides_points L (skS.0 0 a) B) (divides_points L (skS.0 0 a) C) → Not (divides_points L B C))
% 23.25/23.47 False
% 23.25/23.47 Clause #261 (by clausification #[260]): ∀ (a a_1 : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (Not
% 23.25/23.47 (∀ (C L : Iota),
% 23.25/23.47 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) C) →
% 23.25/23.47 Not (divides_points L (skS.0 1 a a_1) C)))
% 23.25/23.47 True
% 23.25/23.47 Clause #262 (by clausification #[261]): ∀ (a a_1 : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (∀ (C L : Iota),
% 23.25/23.47 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) C) →
% 23.25/23.47 Not (divides_points L (skS.0 1 a a_1) C))
% 23.25/23.47 False
% 23.25/23.47 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (Not
% 23.25/23.47 (∀ (L : Iota),
% 23.25/23.47 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) (skS.0 2 a a_1 a_2)) →
% 23.25/23.47 Not (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 23.25/23.47 True
% 23.25/23.47 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (∀ (L : Iota),
% 23.25/23.47 And (divides_points L (skS.0 0 a) (skS.0 1 a a_1)) (divides_points L (skS.0 0 a) (skS.0 2 a a_1 a_2)) →
% 23.25/23.47 Not (divides_points L (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 23.25/23.47 False
% 23.25/23.47 Clause #265 (by clausification #[264]): ∀ (a a_1 a_2 a_3 : Iota),
% 23.25/23.47 Eq
% 23.25/23.47 (Not
% 23.25/23.47 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1))
% 23.25/23.47 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2)) →
% 23.25/23.47 Not (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))))
% 23.25/23.53 True
% 23.25/23.53 Clause #266 (by clausification #[265]): ∀ (a a_1 a_2 a_3 : Iota),
% 23.25/23.53 Eq
% 23.25/23.53 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1))
% 23.25/23.53 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2)) →
% 23.25/23.53 Not (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)))
% 23.25/23.53 False
% 23.25/23.53 Clause #267 (by clausification #[266]): ∀ (a a_1 a_2 a_3 : Iota),
% 23.25/23.53 Eq
% 23.25/23.53 (And (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1))
% 23.25/23.53 (divides_points (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 23.25/23.53 True
% 23.25/23.53 Clause #269 (by clausification #[267]): ∀ (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 2 a a_1 a_2)) True
% 23.25/23.53 Clause #460 (by clausification #[136]): ∀ (a a_1 a_2 : Iota),
% 23.25/23.53 Or (Eq (divides_points a a_1 a_2) False)
% 23.25/23.53 (Or (Eq (And (left_apart_point a_1 a) (right_apart_point a_2 a)) True)
% 23.25/23.53 (Eq (And (right_apart_point a_1 a) (left_apart_point a_2 a)) True))
% 23.25/23.53 Clause #462 (by clausification #[460]): ∀ (a a_1 a_2 : Iota),
% 23.25/23.53 Or (Eq (divides_points a a_1 a_2) False)
% 23.25/23.53 (Or (Eq (And (right_apart_point a_1 a) (left_apart_point a_2 a)) True) (Eq (left_apart_point a_1 a) True))
% 23.25/23.53 Clause #7438 (by clausification #[462]): ∀ (a a_1 a_2 : Iota),
% 23.25/23.53 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))
% 23.25/23.53 Clause #7440 (by forward demodulation #[7438, 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))
% 23.25/23.53 Clause #7441 (by clausification #[7440]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq (left_apart_point a_2 a) True)
% 23.25/23.53 Clause #7442 (by forward demodulation #[7441, 167]): ∀ (a a_1 a_2 : Iota), Or (Eq (divides_points a a_1 a_2) False) (Eq False True)
% 23.25/23.53 Clause #7443 (by clausification #[7442]): ∀ (a a_1 a_2 : Iota), Eq (divides_points a a_1 a_2) False
% 23.25/23.53 Clause #7444 (by superposition #[7443, 269]): Eq False True
% 23.25/23.53 Clause #7445 (by clausification #[7444]): False
% 23.25/23.53 SZS output end Proof for theBenchmark.p
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