TSTP Solution File: GEO178+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO178+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 22:55:25 EDT 2023
% Result : Theorem 3.96s 4.16s
% Output : Proof 3.96s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO178+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:07:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.96/4.16 SZS status Theorem for theBenchmark.p
% 3.96/4.16 SZS output start Proof for theBenchmark.p
% 3.96/4.16 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), distinct_points X Y → Not (apart_point_and_line X (line_connecting X Y))) True
% 3.96/4.16 Clause #7 (by assumption #[]): Eq (∀ (X Y : Iota), distinct_points X Y → Not (apart_point_and_line Y (line_connecting X Y))) True
% 3.96/4.16 Clause #11 (by assumption #[]): Eq (∀ (X Y Z : Iota), apart_point_and_line X Y → Or (distinct_points X Z) (apart_point_and_line Z Y)) True
% 3.96/4.16 Clause #14 (by assumption #[]): Eq
% 3.96/4.16 (Not
% 3.96/4.16 (∀ (X Y Z : Iota),
% 3.96/4.16 And (distinct_points X Y) (apart_point_and_line Z (line_connecting X Y)) →
% 3.96/4.16 And (distinct_points Z X) (distinct_points Z Y)))
% 3.96/4.16 True
% 3.96/4.16 Clause #21 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Y : Iota), distinct_points a Y → Not (apart_point_and_line Y (line_connecting a Y))) True
% 3.96/4.16 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (distinct_points a a_1 → Not (apart_point_and_line a_1 (line_connecting a a_1))) True
% 3.96/4.16 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota),
% 3.96/4.16 Or (Eq (distinct_points a a_1) False) (Eq (Not (apart_point_and_line a_1 (line_connecting a a_1))) True)
% 3.96/4.16 Clause #24 (by clausification #[23]): ∀ (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)
% 3.96/4.16 Clause #25 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Y : Iota), distinct_points a Y → Not (apart_point_and_line a (line_connecting a Y))) True
% 3.96/4.16 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (distinct_points a a_1 → Not (apart_point_and_line a (line_connecting a a_1))) True
% 3.96/4.16 Clause #27 (by clausification #[26]): ∀ (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)
% 3.96/4.16 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (distinct_points a a_1) False) (Eq (apart_point_and_line a (line_connecting a a_1)) False)
% 3.96/4.16 Clause #52 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), apart_point_and_line a Y → Or (distinct_points a Z) (apart_point_and_line Z Y)) True
% 3.96/4.16 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota),
% 3.96/4.16 Eq (∀ (Z : Iota), apart_point_and_line a a_1 → Or (distinct_points a Z) (apart_point_and_line Z a_1)) True
% 3.96/4.16 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), Eq (apart_point_and_line a a_1 → Or (distinct_points a a_2) (apart_point_and_line a_2 a_1)) True
% 3.96/4.16 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.16 Or (Eq (apart_point_and_line a a_1) False) (Eq (Or (distinct_points a a_2) (apart_point_and_line a_2 a_1)) True)
% 3.96/4.16 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.16 Or (Eq (apart_point_and_line a a_1) False)
% 3.96/4.16 (Or (Eq (distinct_points a a_2) True) (Eq (apart_point_and_line a_2 a_1) True))
% 3.96/4.16 Clause #67 (by clausification #[14]): Eq
% 3.96/4.16 (∀ (X Y Z : Iota),
% 3.96/4.16 And (distinct_points X Y) (apart_point_and_line Z (line_connecting X Y)) →
% 3.96/4.16 And (distinct_points Z X) (distinct_points Z Y))
% 3.96/4.16 False
% 3.96/4.16 Clause #68 (by clausification #[67]): ∀ (a : Iota),
% 3.96/4.16 Eq
% 3.96/4.16 (Not
% 3.96/4.16 (∀ (Y Z : Iota),
% 3.96/4.16 And (distinct_points (skS.0 0 a) Y) (apart_point_and_line Z (line_connecting (skS.0 0 a) Y)) →
% 3.96/4.16 And (distinct_points Z (skS.0 0 a)) (distinct_points Z Y)))
% 3.96/4.16 True
% 3.96/4.16 Clause #69 (by clausification #[68]): ∀ (a : Iota),
% 3.96/4.16 Eq
% 3.96/4.16 (∀ (Y Z : Iota),
% 3.96/4.16 And (distinct_points (skS.0 0 a) Y) (apart_point_and_line Z (line_connecting (skS.0 0 a) Y)) →
% 3.96/4.16 And (distinct_points Z (skS.0 0 a)) (distinct_points Z Y))
% 3.96/4.16 False
% 3.96/4.16 Clause #70 (by clausification #[69]): ∀ (a a_1 : Iota),
% 3.96/4.16 Eq
% 3.96/4.16 (Not
% 3.96/4.16 (∀ (Z : Iota),
% 3.96/4.16 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 3.96/4.16 (apart_point_and_line Z (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.16 And (distinct_points Z (skS.0 0 a)) (distinct_points Z (skS.0 1 a a_1))))
% 3.96/4.16 True
% 3.96/4.16 Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota),
% 3.96/4.16 Eq
% 3.96/4.16 (∀ (Z : Iota),
% 3.96/4.16 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 3.96/4.16 (apart_point_and_line Z (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.18 And (distinct_points Z (skS.0 0 a)) (distinct_points Z (skS.0 1 a a_1)))
% 3.96/4.18 False
% 3.96/4.18 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (Not
% 3.96/4.18 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 3.96/4.18 (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.18 And (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))))
% 3.96/4.18 True
% 3.96/4.18 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 3.96/4.18 (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.96/4.18 And (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 3.96/4.18 False
% 3.96/4.18 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Eq
% 3.96/4.18 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 3.96/4.18 (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))))
% 3.96/4.18 True
% 3.96/4.18 Clause #75 (by clausification #[73]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Eq (And (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))) False
% 3.96/4.18 Clause #76 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), Eq (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.96/4.18 Clause #77 (by clausification #[74]): ∀ (a a_1 : Iota), Eq (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.96/4.18 Clause #79 (by superposition #[76, 56]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.18 Or (Eq True False)
% 3.96/4.18 (Or (Eq (distinct_points (skS.0 2 a a_1 a_2) a_3) True)
% 3.96/4.18 (Eq (apart_point_and_line a_3 (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True))
% 3.96/4.18 Clause #80 (by superposition #[77, 24]): ∀ (a a_1 : Iota),
% 3.96/4.18 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)
% 3.96/4.18 Clause #81 (by superposition #[77, 28]): ∀ (a a_1 : Iota),
% 3.96/4.18 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)
% 3.96/4.18 Clause #99 (by clausification #[75]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.18 Or (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) False)
% 3.96/4.18 (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False)
% 3.96/4.18 Clause #101 (by clausification #[81]): ∀ (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
% 3.96/4.18 Clause #135 (by clausification #[80]): ∀ (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
% 3.96/4.18 Clause #136 (by clausification #[79]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.18 Or (Eq (distinct_points (skS.0 2 a a_1 a_2) a_3) True)
% 3.96/4.18 (Eq (apart_point_and_line a_3 (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.96/4.18 Clause #142 (by superposition #[136, 101]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) True) (Eq True False)
% 3.96/4.18 Clause #143 (by superposition #[136, 135]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True) (Eq True False)
% 3.96/4.18 Clause #147 (by clausification #[142]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) True
% 3.96/4.18 Clause #148 (by backward demodulation #[147, 99]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False)
% 3.96/4.18 Clause #153 (by clausification #[143]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 3.96/4.18 Clause #158 (by clausification #[148]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False
% 3.96/4.18 Clause #159 (by superposition #[158, 153]): Eq False True
% 3.96/4.18 Clause #163 (by clausification #[159]): False
% 3.96/4.18 SZS output end Proof for theBenchmark.p
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