TSTP Solution File: GEO225+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n014.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 22:55:46 EDT 2023
% Result : Theorem 3.86s 4.07s
% Output : Proof 3.86s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : duper %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 21:30:45 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.86/4.07 SZS status Theorem for theBenchmark.p
% 3.86/4.07 SZS output start Proof for theBenchmark.p
% 3.86/4.07 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), distinct_points X Y → Not (apart_point_and_line X (line_connecting X Y))) True
% 3.86/4.07 Clause #7 (by assumption #[]): Eq (∀ (X Y : Iota), distinct_points X Y → Not (apart_point_and_line Y (line_connecting X Y))) True
% 3.86/4.07 Clause #18 (by assumption #[]): Eq
% 3.86/4.07 (Not
% 3.86/4.07 (∀ (A B : Iota),
% 3.86/4.07 And (And (point A) (point B)) (distinct_points A B) →
% 3.86/4.07 Exists fun X => line X → And (Not (apart_point_and_line A X)) (Not (apart_point_and_line B X))))
% 3.86/4.07 True
% 3.86/4.07 Clause #48 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Y : Iota), distinct_points a Y → Not (apart_point_and_line Y (line_connecting a Y))) True
% 3.86/4.07 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Eq (distinct_points a a_1 → Not (apart_point_and_line a_1 (line_connecting a a_1))) True
% 3.86/4.07 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 3.86/4.07 Or (Eq (distinct_points a a_1) False) (Eq (Not (apart_point_and_line a_1 (line_connecting a a_1))) True)
% 3.86/4.07 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Or (Eq (distinct_points a a_1) False) (Eq (apart_point_and_line a_1 (line_connecting a a_1)) False)
% 3.86/4.07 Clause #52 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Y : Iota), distinct_points a Y → Not (apart_point_and_line a (line_connecting a Y))) True
% 3.86/4.07 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (distinct_points a a_1 → Not (apart_point_and_line a (line_connecting a a_1))) True
% 3.86/4.07 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Or (Eq (distinct_points a a_1) False) (Eq (Not (apart_point_and_line a (line_connecting a a_1))) True)
% 3.86/4.07 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (distinct_points a a_1) False) (Eq (apart_point_and_line a (line_connecting a a_1)) False)
% 3.86/4.07 Clause #98 (by clausification #[18]): Eq
% 3.86/4.07 (∀ (A B : Iota),
% 3.86/4.07 And (And (point A) (point B)) (distinct_points A B) →
% 3.86/4.07 Exists fun X => line X → And (Not (apart_point_and_line A X)) (Not (apart_point_and_line B X)))
% 3.86/4.07 False
% 3.86/4.07 Clause #99 (by clausification #[98]): ∀ (a : Iota),
% 3.86/4.07 Eq
% 3.86/4.07 (Not
% 3.86/4.07 (∀ (B : Iota),
% 3.86/4.07 And (And (point (skS.0 0 a)) (point B)) (distinct_points (skS.0 0 a) B) →
% 3.86/4.07 Exists fun X => line X → And (Not (apart_point_and_line (skS.0 0 a) X)) (Not (apart_point_and_line B X))))
% 3.86/4.07 True
% 3.86/4.07 Clause #100 (by clausification #[99]): ∀ (a : Iota),
% 3.86/4.07 Eq
% 3.86/4.07 (∀ (B : Iota),
% 3.86/4.07 And (And (point (skS.0 0 a)) (point B)) (distinct_points (skS.0 0 a) B) →
% 3.86/4.07 Exists fun X => line X → And (Not (apart_point_and_line (skS.0 0 a) X)) (Not (apart_point_and_line B X)))
% 3.86/4.07 False
% 3.86/4.07 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota),
% 3.86/4.07 Eq
% 3.86/4.07 (Not
% 3.86/4.07 (And (And (point (skS.0 0 a)) (point (skS.0 1 a a_1))) (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.86/4.07 Exists fun X =>
% 3.86/4.07 line X → And (Not (apart_point_and_line (skS.0 0 a) X)) (Not (apart_point_and_line (skS.0 1 a a_1) X))))
% 3.86/4.07 True
% 3.86/4.07 Clause #102 (by clausification #[101]): ∀ (a a_1 : Iota),
% 3.86/4.07 Eq
% 3.86/4.07 (And (And (point (skS.0 0 a)) (point (skS.0 1 a a_1))) (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.86/4.07 Exists fun X =>
% 3.86/4.07 line X → And (Not (apart_point_and_line (skS.0 0 a) X)) (Not (apart_point_and_line (skS.0 1 a a_1) X)))
% 3.86/4.07 False
% 3.86/4.07 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota),
% 3.86/4.07 Eq (And (And (point (skS.0 0 a)) (point (skS.0 1 a a_1))) (distinct_points (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.86/4.07 Clause #104 (by clausification #[102]): ∀ (a a_1 : Iota),
% 3.86/4.07 Eq
% 3.86/4.07 (Exists fun X =>
% 3.86/4.07 line X → And (Not (apart_point_and_line (skS.0 0 a) X)) (Not (apart_point_and_line (skS.0 1 a a_1) X)))
% 3.86/4.07 False
% 3.86/4.07 Clause #105 (by clausification #[103]): ∀ (a a_1 : Iota), Eq (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.86/4.07 Clause #109 (by superposition #[105, 51]): ∀ (a a_1 : Iota),
% 3.86/4.07 Or (Eq True False) (Eq (apart_point_and_line (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.86/4.07 Clause #110 (by superposition #[105, 55]): ∀ (a a_1 : Iota),
% 3.86/4.07 Or (Eq True False) (Eq (apart_point_and_line (skS.0 0 a) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.86/4.08 Clause #121 (by clausification #[104]): ∀ (a a_1 a_2 : Iota),
% 3.86/4.08 Eq (line a → And (Not (apart_point_and_line (skS.0 0 a_1) a)) (Not (apart_point_and_line (skS.0 1 a_1 a_2) a))) False
% 3.86/4.08 Clause #123 (by clausification #[121]): ∀ (a a_1 a_2 : Iota),
% 3.86/4.08 Eq (And (Not (apart_point_and_line (skS.0 0 a) a_1)) (Not (apart_point_and_line (skS.0 1 a a_2) a_1))) False
% 3.86/4.08 Clause #132 (by clausification #[123]): ∀ (a a_1 a_2 : Iota),
% 3.86/4.08 Or (Eq (Not (apart_point_and_line (skS.0 0 a) a_1)) False) (Eq (Not (apart_point_and_line (skS.0 1 a a_2) a_1)) False)
% 3.86/4.08 Clause #133 (by clausification #[132]): ∀ (a a_1 a_2 : Iota),
% 3.86/4.08 Or (Eq (Not (apart_point_and_line (skS.0 1 a a_1) a_2)) False) (Eq (apart_point_and_line (skS.0 0 a) a_2) True)
% 3.86/4.08 Clause #134 (by clausification #[133]): ∀ (a a_1 a_2 : Iota),
% 3.86/4.08 Or (Eq (apart_point_and_line (skS.0 0 a) a_1) True) (Eq (apart_point_and_line (skS.0 1 a a_2) a_1) True)
% 3.86/4.08 Clause #144 (by clausification #[110]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (skS.0 0 a) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.86/4.08 Clause #168 (by clausification #[109]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.86/4.08 Clause #169 (by superposition #[168, 134]): ∀ (a a_1 : Iota),
% 3.86/4.08 Or (Eq (apart_point_and_line (skS.0 0 a) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True) (Eq False True)
% 3.86/4.08 Clause #172 (by clausification #[169]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (skS.0 0 a) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.86/4.08 Clause #173 (by superposition #[172, 144]): Eq True False
% 3.86/4.08 Clause #177 (by clausification #[173]): False
% 3.86/4.08 SZS output end Proof for theBenchmark.p
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