TSTP Solution File: GEO178+2 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO178+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n028.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 6.68s 7.05s
% Output : Proof 6.88s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16 % Problem : GEO178+2 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.17 % Command : duper %s
% 0.15/0.38 % Computer : n028.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Aug 29 22:49:41 EDT 2023
% 0.15/0.38 % CPUTime :
% 6.68/7.05 SZS status Theorem for theBenchmark.p
% 6.68/7.05 SZS output start Proof for theBenchmark.p
% 6.68/7.05 Clause #6 (by assumption #[]): Eq
% 6.68/7.05 (∀ (X Y Z : Iota),
% 6.68/7.05 distinct_points X Y →
% 6.68/7.05 apart_point_and_line Z (line_connecting X Y) → And (distinct_points Z X) (distinct_points Z Y))
% 6.68/7.05 True
% 6.68/7.05 Clause #12 (by assumption #[]): Eq
% 6.68/7.05 (Not
% 6.68/7.05 (∀ (X Y Z : Iota),
% 6.68/7.05 And (distinct_points X Y) (apart_point_and_line Z (line_connecting X Y)) →
% 6.68/7.05 And (distinct_points Z X) (distinct_points Z Y)))
% 6.68/7.05 True
% 6.68/7.05 Clause #54 (by clausification #[6]): ∀ (a : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (∀ (Y Z : Iota),
% 6.68/7.05 distinct_points a Y →
% 6.68/7.05 apart_point_and_line Z (line_connecting a Y) → And (distinct_points Z a) (distinct_points Z Y))
% 6.68/7.05 True
% 6.68/7.05 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (∀ (Z : Iota),
% 6.68/7.05 distinct_points a a_1 →
% 6.68/7.05 apart_point_and_line Z (line_connecting a a_1) → And (distinct_points Z a) (distinct_points Z a_1))
% 6.68/7.05 True
% 6.68/7.05 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (distinct_points a a_1 →
% 6.68/7.05 apart_point_and_line a_2 (line_connecting a a_1) → And (distinct_points a_2 a) (distinct_points a_2 a_1))
% 6.68/7.05 True
% 6.68/7.05 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 : Iota),
% 6.68/7.05 Or (Eq (distinct_points a a_1) False)
% 6.68/7.05 (Eq (apart_point_and_line a_2 (line_connecting a a_1) → And (distinct_points a_2 a) (distinct_points a_2 a_1)) True)
% 6.68/7.05 Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 : Iota),
% 6.68/7.05 Or (Eq (distinct_points a a_1) False)
% 6.68/7.05 (Or (Eq (apart_point_and_line a_2 (line_connecting a a_1)) False)
% 6.68/7.05 (Eq (And (distinct_points a_2 a) (distinct_points a_2 a_1)) True))
% 6.68/7.05 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 6.68/7.05 Or (Eq (distinct_points a a_1) False)
% 6.68/7.05 (Or (Eq (apart_point_and_line a_2 (line_connecting a a_1)) False) (Eq (distinct_points a_2 a_1) True))
% 6.68/7.05 Clause #60 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 6.68/7.05 Or (Eq (distinct_points a a_1) False)
% 6.68/7.05 (Or (Eq (apart_point_and_line a_2 (line_connecting a a_1)) False) (Eq (distinct_points a_2 a) True))
% 6.68/7.05 Clause #70 (by clausification #[12]): Eq
% 6.68/7.05 (∀ (X Y Z : Iota),
% 6.68/7.05 And (distinct_points X Y) (apart_point_and_line Z (line_connecting X Y)) →
% 6.68/7.05 And (distinct_points Z X) (distinct_points Z Y))
% 6.68/7.05 False
% 6.68/7.05 Clause #71 (by clausification #[70]): ∀ (a : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (Not
% 6.68/7.05 (∀ (Y Z : Iota),
% 6.68/7.05 And (distinct_points (skS.0 0 a) Y) (apart_point_and_line Z (line_connecting (skS.0 0 a) Y)) →
% 6.68/7.05 And (distinct_points Z (skS.0 0 a)) (distinct_points Z Y)))
% 6.68/7.05 True
% 6.68/7.05 Clause #72 (by clausification #[71]): ∀ (a : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (∀ (Y Z : Iota),
% 6.68/7.05 And (distinct_points (skS.0 0 a) Y) (apart_point_and_line Z (line_connecting (skS.0 0 a) Y)) →
% 6.68/7.05 And (distinct_points Z (skS.0 0 a)) (distinct_points Z Y))
% 6.68/7.05 False
% 6.68/7.05 Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (Not
% 6.68/7.05 (∀ (Z : Iota),
% 6.68/7.05 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 6.68/7.05 (apart_point_and_line Z (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 6.68/7.05 And (distinct_points Z (skS.0 0 a)) (distinct_points Z (skS.0 1 a a_1))))
% 6.68/7.05 True
% 6.68/7.05 Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (∀ (Z : Iota),
% 6.68/7.05 And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 6.68/7.05 (apart_point_and_line Z (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 6.68/7.05 And (distinct_points Z (skS.0 0 a)) (distinct_points Z (skS.0 1 a a_1)))
% 6.68/7.05 False
% 6.68/7.05 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (Not
% 6.68/7.05 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 6.68/7.05 (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 6.68/7.05 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))))
% 6.68/7.05 True
% 6.68/7.05 Clause #76 (by clausification #[75]): ∀ (a a_1 a_2 : Iota),
% 6.68/7.05 Eq
% 6.68/7.05 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 6.68/7.05 (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 6.68/7.05 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)))
% 6.88/7.08 False
% 6.88/7.08 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 : Iota),
% 6.88/7.08 Eq
% 6.88/7.08 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 6.88/7.08 (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))))
% 6.88/7.08 True
% 6.88/7.08 Clause #78 (by clausification #[76]): ∀ (a a_1 a_2 : Iota),
% 6.88/7.08 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
% 6.88/7.08 Clause #79 (by clausification #[77]): ∀ (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
% 6.88/7.08 Clause #80 (by clausification #[77]): ∀ (a a_1 : Iota), Eq (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) True
% 6.88/7.08 Clause #84 (by superposition #[80, 59]): ∀ (a a_1 a_2 : Iota),
% 6.88/7.08 Or (Eq True False)
% 6.88/7.08 (Or (Eq (apart_point_and_line a (line_connecting (skS.0 0 a_1) (skS.0 1 a_1 a_2))) False)
% 6.88/7.08 (Eq (distinct_points a (skS.0 1 a_1 a_2)) True))
% 6.88/7.08 Clause #86 (by superposition #[80, 60]): ∀ (a a_1 a_2 : Iota),
% 6.88/7.08 Or (Eq True False)
% 6.88/7.08 (Or (Eq (apart_point_and_line a (line_connecting (skS.0 0 a_1) (skS.0 1 a_1 a_2))) False)
% 6.88/7.08 (Eq (distinct_points a (skS.0 0 a_1)) True))
% 6.88/7.08 Clause #93 (by clausification #[78]): ∀ (a a_1 a_2 : Iota),
% 6.88/7.08 Or (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) False)
% 6.88/7.08 (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False)
% 6.88/7.08 Clause #132 (by clausification #[86]): ∀ (a a_1 a_2 : Iota),
% 6.88/7.08 Or (Eq (apart_point_and_line a (line_connecting (skS.0 0 a_1) (skS.0 1 a_1 a_2))) False)
% 6.88/7.08 (Eq (distinct_points a (skS.0 0 a_1)) True)
% 6.88/7.08 Clause #133 (by superposition #[132, 79]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) True) (Eq False True)
% 6.88/7.08 Clause #135 (by clausification #[133]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) True
% 6.88/7.08 Clause #136 (by backward demodulation #[135, 93]): ∀ (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)
% 6.88/7.08 Clause #148 (by clausification #[136]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False
% 6.88/7.08 Clause #164 (by clausification #[84]): ∀ (a a_1 a_2 : Iota),
% 6.88/7.08 Or (Eq (apart_point_and_line a (line_connecting (skS.0 0 a_1) (skS.0 1 a_1 a_2))) False)
% 6.88/7.08 (Eq (distinct_points a (skS.0 1 a_1 a_2)) True)
% 6.88/7.08 Clause #165 (by superposition #[164, 79]): ∀ (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 False True)
% 6.88/7.08 Clause #168 (by clausification #[165]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 6.88/7.08 Clause #169 (by superposition #[168, 148]): Eq True False
% 6.88/7.08 Clause #174 (by clausification #[169]): False
% 6.88/7.08 SZS output end Proof for theBenchmark.p
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