TSTP Solution File: GEO226+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO226+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 22:55:47 EDT 2023
% Result : Theorem 7.02s 7.23s
% Output : Proof 7.02s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO226+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : duper %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 22:29:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 7.02/7.23 SZS status Theorem for theBenchmark.p
% 7.02/7.23 SZS output start Proof for theBenchmark.p
% 7.02/7.23 Clause #8 (by assumption #[]): Eq (∀ (X Y : Iota), convergent_lines X Y → Not (apart_point_and_line (intersection_point X Y) X)) True
% 7.02/7.23 Clause #9 (by assumption #[]): Eq (∀ (X Y : Iota), convergent_lines X Y → Not (apart_point_and_line (intersection_point X Y) Y)) True
% 7.02/7.23 Clause #18 (by assumption #[]): Eq
% 7.02/7.23 (Not
% 7.02/7.23 (∀ (L M : Iota),
% 7.02/7.23 And (And (line L) (line M)) (convergent_lines L M) →
% 7.02/7.23 Exists fun X => point X → And (Not (apart_point_and_line X L)) (Not (apart_point_and_line X M))))
% 7.02/7.23 True
% 7.02/7.23 Clause #56 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (Y : Iota), convergent_lines a Y → Not (apart_point_and_line (intersection_point a Y) Y)) True
% 7.02/7.23 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota), Eq (convergent_lines a a_1 → Not (apart_point_and_line (intersection_point a a_1) a_1)) True
% 7.02/7.23 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota),
% 7.02/7.23 Or (Eq (convergent_lines a a_1) False) (Eq (Not (apart_point_and_line (intersection_point a a_1) a_1)) True)
% 7.02/7.23 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota),
% 7.02/7.23 Or (Eq (convergent_lines a a_1) False) (Eq (apart_point_and_line (intersection_point a a_1) a_1) False)
% 7.02/7.23 Clause #65 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Y : Iota), convergent_lines a Y → Not (apart_point_and_line (intersection_point a Y) a)) True
% 7.02/7.23 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), Eq (convergent_lines a a_1 → Not (apart_point_and_line (intersection_point a a_1) a)) True
% 7.02/7.23 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota),
% 7.02/7.23 Or (Eq (convergent_lines a a_1) False) (Eq (Not (apart_point_and_line (intersection_point a a_1) a)) True)
% 7.02/7.23 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) False) (Eq (apart_point_and_line (intersection_point a a_1) a) False)
% 7.02/7.23 Clause #98 (by clausification #[18]): Eq
% 7.02/7.23 (∀ (L M : Iota),
% 7.02/7.23 And (And (line L) (line M)) (convergent_lines L M) →
% 7.02/7.23 Exists fun X => point X → And (Not (apart_point_and_line X L)) (Not (apart_point_and_line X M)))
% 7.02/7.23 False
% 7.02/7.23 Clause #99 (by clausification #[98]): ∀ (a : Iota),
% 7.02/7.23 Eq
% 7.02/7.23 (Not
% 7.02/7.23 (∀ (M : Iota),
% 7.02/7.23 And (And (line (skS.0 0 a)) (line M)) (convergent_lines (skS.0 0 a) M) →
% 7.02/7.23 Exists fun X => point X → And (Not (apart_point_and_line X (skS.0 0 a))) (Not (apart_point_and_line X M))))
% 7.02/7.23 True
% 7.02/7.23 Clause #100 (by clausification #[99]): ∀ (a : Iota),
% 7.02/7.23 Eq
% 7.02/7.23 (∀ (M : Iota),
% 7.02/7.23 And (And (line (skS.0 0 a)) (line M)) (convergent_lines (skS.0 0 a) M) →
% 7.02/7.23 Exists fun X => point X → And (Not (apart_point_and_line X (skS.0 0 a))) (Not (apart_point_and_line X M)))
% 7.02/7.23 False
% 7.02/7.23 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota),
% 7.02/7.23 Eq
% 7.02/7.23 (Not
% 7.02/7.23 (And (And (line (skS.0 0 a)) (line (skS.0 1 a a_1))) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) →
% 7.02/7.23 Exists fun X =>
% 7.02/7.23 point X → And (Not (apart_point_and_line X (skS.0 0 a))) (Not (apart_point_and_line X (skS.0 1 a a_1)))))
% 7.02/7.23 True
% 7.02/7.23 Clause #102 (by clausification #[101]): ∀ (a a_1 : Iota),
% 7.02/7.23 Eq
% 7.02/7.23 (And (And (line (skS.0 0 a)) (line (skS.0 1 a a_1))) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) →
% 7.02/7.23 Exists fun X =>
% 7.02/7.23 point X → And (Not (apart_point_and_line X (skS.0 0 a))) (Not (apart_point_and_line X (skS.0 1 a a_1))))
% 7.02/7.23 False
% 7.02/7.23 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota),
% 7.02/7.23 Eq (And (And (line (skS.0 0 a)) (line (skS.0 1 a a_1))) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) True
% 7.02/7.23 Clause #104 (by clausification #[102]): ∀ (a a_1 : Iota),
% 7.02/7.23 Eq
% 7.02/7.23 (Exists fun X =>
% 7.02/7.23 point X → And (Not (apart_point_and_line X (skS.0 0 a))) (Not (apart_point_and_line X (skS.0 1 a a_1))))
% 7.02/7.23 False
% 7.02/7.23 Clause #105 (by clausification #[103]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 7.02/7.23 Clause #108 (by superposition #[105, 59]): ∀ (a a_1 : Iota),
% 7.02/7.23 Or (Eq True False) (Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) False)
% 7.02/7.23 Clause #109 (by superposition #[105, 68]): ∀ (a a_1 : Iota),
% 7.02/7.24 Or (Eq True False) (Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a)) False)
% 7.02/7.24 Clause #120 (by clausification #[104]): ∀ (a a_1 a_2 : Iota),
% 7.02/7.24 Eq (point a → And (Not (apart_point_and_line a (skS.0 0 a_1))) (Not (apart_point_and_line a (skS.0 1 a_1 a_2)))) False
% 7.02/7.24 Clause #122 (by clausification #[120]): ∀ (a a_1 a_2 : Iota),
% 7.02/7.24 Eq (And (Not (apart_point_and_line a (skS.0 0 a_1))) (Not (apart_point_and_line a (skS.0 1 a_1 a_2)))) False
% 7.02/7.24 Clause #157 (by clausification #[108]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) False
% 7.02/7.24 Clause #173 (by clausification #[109]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a)) False
% 7.02/7.24 Clause #225 (by clausification #[122]): ∀ (a a_1 a_2 : Iota),
% 7.02/7.24 Or (Eq (Not (apart_point_and_line a (skS.0 0 a_1))) False) (Eq (Not (apart_point_and_line a (skS.0 1 a_1 a_2))) False)
% 7.02/7.24 Clause #226 (by clausification #[225]): ∀ (a a_1 a_2 : Iota),
% 7.02/7.24 Or (Eq (Not (apart_point_and_line a (skS.0 1 a_1 a_2))) False) (Eq (apart_point_and_line a (skS.0 0 a_1)) True)
% 7.02/7.24 Clause #227 (by clausification #[226]): ∀ (a a_1 a_2 : Iota),
% 7.02/7.24 Or (Eq (apart_point_and_line a (skS.0 0 a_1)) True) (Eq (apart_point_and_line a (skS.0 1 a_1 a_2)) True)
% 7.02/7.24 Clause #228 (by superposition #[227, 157]): ∀ (a a_1 : Iota),
% 7.02/7.24 Or (Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a)) True) (Eq True False)
% 7.02/7.24 Clause #469 (by clausification #[228]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a)) True
% 7.02/7.24 Clause #470 (by superposition #[469, 173]): Eq True False
% 7.02/7.24 Clause #473 (by clausification #[470]): False
% 7.02/7.24 SZS output end Proof for theBenchmark.p
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