TSTP Solution File: GEO192+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO192+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 22:55:31 EDT 2023
% Result : Theorem 4.73s 4.96s
% Output : Proof 4.83s
% 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 : GEO192+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:46:33 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.73/4.96 SZS status Theorem for theBenchmark.p
% 4.73/4.96 SZS output start Proof for theBenchmark.p
% 4.73/4.96 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Not (distinct_lines X X)) True
% 4.73/4.96 Clause #4 (by assumption #[]): Eq (∀ (X Y Z : Iota), distinct_lines X Y → Or (distinct_lines X Z) (distinct_lines Y Z)) True
% 4.73/4.96 Clause #8 (by assumption #[]): Eq (∀ (X Y : Iota), convergent_lines X Y → Not (apart_point_and_line (intersection_point X Y) X)) True
% 4.73/4.96 Clause #9 (by assumption #[]): Eq (∀ (X Y : Iota), convergent_lines X Y → Not (apart_point_and_line (intersection_point X Y) Y)) True
% 4.73/4.96 Clause #12 (by assumption #[]): Eq (∀ (X Y Z : Iota), apart_point_and_line X Y → Or (distinct_lines Y Z) (apart_point_and_line X Z)) True
% 4.73/4.96 Clause #14 (by assumption #[]): Eq
% 4.73/4.96 (Not
% 4.73/4.96 (∀ (X Y Z : Iota),
% 4.73/4.96 convergent_lines X Y →
% 4.73/4.96 apart_point_and_line (intersection_point X Y) Z → And (distinct_lines X Z) (distinct_lines Y Z)))
% 4.73/4.96 True
% 4.73/4.96 Clause #17 (by clausification #[1]): ∀ (a : Iota), Eq (Not (distinct_lines a a)) True
% 4.73/4.96 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (distinct_lines a a) False
% 4.73/4.96 Clause #34 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (Y : Iota), convergent_lines a Y → Not (apart_point_and_line (intersection_point a Y) Y)) True
% 4.73/4.96 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (convergent_lines a a_1 → Not (apart_point_and_line (intersection_point a a_1) a_1)) True
% 4.73/4.96 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 4.73/4.96 Or (Eq (convergent_lines a a_1) False) (Eq (Not (apart_point_and_line (intersection_point a a_1) a_1)) True)
% 4.73/4.96 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 4.73/4.96 Or (Eq (convergent_lines a a_1) False) (Eq (apart_point_and_line (intersection_point a a_1) a_1) False)
% 4.73/4.96 Clause #38 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Y : Iota), convergent_lines a Y → Not (apart_point_and_line (intersection_point a Y) a)) True
% 4.73/4.96 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (convergent_lines a a_1 → Not (apart_point_and_line (intersection_point a a_1) a)) True
% 4.73/4.96 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 4.73/4.96 Or (Eq (convergent_lines a a_1) False) (Eq (Not (apart_point_and_line (intersection_point a a_1) a)) True)
% 4.73/4.96 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) False) (Eq (apart_point_and_line (intersection_point a a_1) a) False)
% 4.73/4.96 Clause #47 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), apart_point_and_line a Y → Or (distinct_lines Y Z) (apart_point_and_line a Z)) True
% 4.73/4.96 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 4.73/4.96 Eq (∀ (Z : Iota), apart_point_and_line a a_1 → Or (distinct_lines a_1 Z) (apart_point_and_line a Z)) True
% 4.73/4.96 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Eq (apart_point_and_line a a_1 → Or (distinct_lines a_1 a_2) (apart_point_and_line a a_2)) True
% 4.73/4.96 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 4.73/4.96 Or (Eq (apart_point_and_line a a_1) False) (Eq (Or (distinct_lines a_1 a_2) (apart_point_and_line a a_2)) True)
% 4.73/4.96 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota),
% 4.73/4.96 Or (Eq (apart_point_and_line a a_1) False)
% 4.73/4.96 (Or (Eq (distinct_lines a_1 a_2) True) (Eq (apart_point_and_line a a_2) True))
% 4.73/4.96 Clause #57 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), distinct_lines a Y → Or (distinct_lines a Z) (distinct_lines Y Z)) True
% 4.73/4.96 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), distinct_lines a a_1 → Or (distinct_lines a Z) (distinct_lines a_1 Z)) True
% 4.73/4.96 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines a a_1 → Or (distinct_lines a a_2) (distinct_lines a_1 a_2)) True
% 4.73/4.96 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota),
% 4.73/4.96 Or (Eq (distinct_lines a a_1) False) (Eq (Or (distinct_lines a a_2) (distinct_lines a_1 a_2)) True)
% 4.73/4.96 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota),
% 4.73/4.96 Or (Eq (distinct_lines a a_1) False) (Or (Eq (distinct_lines a a_2) True) (Eq (distinct_lines a_1 a_2) True))
% 4.73/4.96 Clause #67 (by clausification #[14]): Eq
% 4.73/4.96 (∀ (X Y Z : Iota),
% 4.73/4.96 convergent_lines X Y →
% 4.82/4.98 apart_point_and_line (intersection_point X Y) Z → And (distinct_lines X Z) (distinct_lines Y Z))
% 4.82/4.98 False
% 4.82/4.98 Clause #68 (by clausification #[67]): ∀ (a : Iota),
% 4.82/4.98 Eq
% 4.82/4.98 (Not
% 4.82/4.98 (∀ (Y Z : Iota),
% 4.82/4.98 convergent_lines (skS.0 0 a) Y →
% 4.82/4.98 apart_point_and_line (intersection_point (skS.0 0 a) Y) Z →
% 4.82/4.98 And (distinct_lines (skS.0 0 a) Z) (distinct_lines Y Z)))
% 4.82/4.98 True
% 4.82/4.98 Clause #69 (by clausification #[68]): ∀ (a : Iota),
% 4.82/4.98 Eq
% 4.82/4.98 (∀ (Y Z : Iota),
% 4.82/4.98 convergent_lines (skS.0 0 a) Y →
% 4.82/4.98 apart_point_and_line (intersection_point (skS.0 0 a) Y) Z →
% 4.82/4.98 And (distinct_lines (skS.0 0 a) Z) (distinct_lines Y Z))
% 4.82/4.98 False
% 4.82/4.98 Clause #70 (by clausification #[69]): ∀ (a a_1 : Iota),
% 4.82/4.98 Eq
% 4.82/4.98 (Not
% 4.82/4.98 (∀ (Z : Iota),
% 4.82/4.98 convergent_lines (skS.0 0 a) (skS.0 1 a a_1) →
% 4.82/4.98 apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) Z →
% 4.82/4.98 And (distinct_lines (skS.0 0 a) Z) (distinct_lines (skS.0 1 a a_1) Z)))
% 4.82/4.98 True
% 4.82/4.98 Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota),
% 4.82/4.98 Eq
% 4.82/4.98 (∀ (Z : Iota),
% 4.82/4.98 convergent_lines (skS.0 0 a) (skS.0 1 a a_1) →
% 4.82/4.98 apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) Z →
% 4.82/4.98 And (distinct_lines (skS.0 0 a) Z) (distinct_lines (skS.0 1 a a_1) Z))
% 4.82/4.98 False
% 4.82/4.98 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 : Iota),
% 4.82/4.98 Eq
% 4.82/4.98 (Not
% 4.82/4.98 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1) →
% 4.82/4.98 apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2) →
% 4.82/4.98 And (distinct_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 4.82/4.98 True
% 4.82/4.98 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota),
% 4.82/4.98 Eq
% 4.82/4.98 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1) →
% 4.82/4.98 apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2) →
% 4.82/4.98 And (distinct_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.82/4.98 False
% 4.82/4.98 Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.82/4.98 Clause #75 (by clausification #[73]): ∀ (a a_1 a_2 : Iota),
% 4.82/4.98 Eq
% 4.82/4.98 (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2) →
% 4.82/4.98 And (distinct_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.82/4.98 False
% 4.82/4.98 Clause #76 (by superposition #[74, 37]): ∀ (a a_1 : Iota),
% 4.82/4.98 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)
% 4.82/4.98 Clause #77 (by superposition #[74, 41]): ∀ (a a_1 : Iota),
% 4.82/4.98 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)
% 4.82/4.98 Clause #95 (by clausification #[75]): ∀ (a a_1 a_2 : Iota),
% 4.82/4.98 Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)) True
% 4.82/4.98 Clause #96 (by clausification #[75]): ∀ (a a_1 a_2 : Iota),
% 4.82/4.98 Eq (And (distinct_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) False
% 4.82/4.98 Clause #97 (by superposition #[95, 51]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.82/4.98 Or (Eq True False)
% 4.82/4.98 (Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True)
% 4.82/4.98 (Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) a_3) True))
% 4.82/4.98 Clause #102 (by clausification #[77]): ∀ (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
% 4.82/4.98 Clause #120 (by clausification #[76]): ∀ (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
% 4.82/4.98 Clause #190 (by clausification #[96]): ∀ (a a_1 a_2 : Iota),
% 4.82/4.98 Or (Eq (distinct_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) False)
% 4.82/4.98 (Eq (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False)
% 4.82/4.98 Clause #211 (by clausification #[97]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.82/4.98 Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True)
% 4.82/4.98 (Eq (apart_point_and_line (intersection_point (skS.0 0 a) (skS.0 1 a a_1)) a_3) True)
% 4.83/4.99 Clause #214 (by superposition #[211, 102]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) (skS.0 0 a)) True) (Eq True False)
% 4.83/4.99 Clause #215 (by superposition #[211, 120]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True) (Eq True False)
% 4.83/4.99 Clause #220 (by clausification #[214]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines (skS.0 2 a a_1 a_2) (skS.0 0 a)) True
% 4.83/4.99 Clause #221 (by superposition #[220, 61]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/4.99 Or (Eq True False) (Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (distinct_lines (skS.0 0 a) a_3) True))
% 4.83/4.99 Clause #222 (by clausification #[215]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 4.83/4.99 Clause #223 (by superposition #[222, 61]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/4.99 Or (Eq True False)
% 4.83/4.99 (Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (distinct_lines (skS.0 1 a a_1) a_3) True))
% 4.83/4.99 Clause #224 (by clausification #[221]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/4.99 Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (distinct_lines (skS.0 0 a) a_3) True)
% 4.83/4.99 Clause #225 (by superposition #[224, 18]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) True) (Eq True False)
% 4.83/4.99 Clause #227 (by clausification #[225]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) True
% 4.83/4.99 Clause #228 (by backward demodulation #[227, 190]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False)
% 4.83/4.99 Clause #230 (by clausification #[228]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False
% 4.83/4.99 Clause #276 (by clausification #[223]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/4.99 Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (distinct_lines (skS.0 1 a a_1) a_3) True)
% 4.83/4.99 Clause #277 (by superposition #[276, 18]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True) (Eq True False)
% 4.83/4.99 Clause #281 (by clausification #[277]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 4.83/4.99 Clause #282 (by superposition #[281, 230]): Eq True False
% 4.83/4.99 Clause #284 (by clausification #[282]): False
% 4.83/4.99 SZS output end Proof for theBenchmark.p
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