TSTP Solution File: GEO183+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO183+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 22:55:27 EDT 2023
% Result : Theorem 20.95s 21.11s
% Output : Proof 20.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO183+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:34:01 EDT 2023
% 0.13/0.35 % CPUTime :
% 20.95/21.11 SZS status Theorem for theBenchmark.p
% 20.95/21.11 SZS output start Proof for theBenchmark.p
% 20.95/21.11 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), distinct_points X Y → Not (apart_point_and_line X (line_connecting X Y))) True
% 20.95/21.11 Clause #7 (by assumption #[]): Eq (∀ (X Y : Iota), distinct_points X Y → Not (apart_point_and_line Y (line_connecting X Y))) True
% 20.95/21.11 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
% 20.95/21.11 Clause #14 (by assumption #[]): Eq
% 20.95/21.11 (Not
% 20.95/21.11 (∀ (X Y U V : Iota),
% 20.95/21.11 And (And (distinct_points X Y) (convergent_lines U V)) (Not (distinct_lines U (line_connecting X Y))) →
% 20.95/21.11 And (Not (apart_point_and_line X U)) (Not (apart_point_and_line Y U))))
% 20.95/21.11 True
% 20.95/21.11 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
% 20.95/21.11 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
% 20.95/21.11 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota),
% 20.95/21.11 Or (Eq (distinct_points a a_1) False) (Eq (Not (apart_point_and_line a_1 (line_connecting a a_1))) True)
% 20.95/21.11 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)
% 20.95/21.11 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
% 20.95/21.11 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
% 20.95/21.11 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)
% 20.95/21.11 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)
% 20.95/21.11 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
% 20.95/21.11 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 20.95/21.11 Eq (∀ (Z : Iota), apart_point_and_line a a_1 → Or (distinct_lines a_1 Z) (apart_point_and_line a Z)) True
% 20.95/21.11 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
% 20.95/21.11 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.11 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)
% 20.95/21.11 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.11 Or (Eq (apart_point_and_line a a_1) False)
% 20.95/21.11 (Or (Eq (distinct_lines a_1 a_2) True) (Eq (apart_point_and_line a a_2) True))
% 20.95/21.11 Clause #67 (by clausification #[14]): Eq
% 20.95/21.11 (∀ (X Y U V : Iota),
% 20.95/21.11 And (And (distinct_points X Y) (convergent_lines U V)) (Not (distinct_lines U (line_connecting X Y))) →
% 20.95/21.11 And (Not (apart_point_and_line X U)) (Not (apart_point_and_line Y U)))
% 20.95/21.11 False
% 20.95/21.11 Clause #68 (by clausification #[67]): ∀ (a : Iota),
% 20.95/21.11 Eq
% 20.95/21.11 (Not
% 20.95/21.11 (∀ (Y U V : Iota),
% 20.95/21.11 And (And (distinct_points (skS.0 0 a) Y) (convergent_lines U V))
% 20.95/21.11 (Not (distinct_lines U (line_connecting (skS.0 0 a) Y))) →
% 20.95/21.11 And (Not (apart_point_and_line (skS.0 0 a) U)) (Not (apart_point_and_line Y U))))
% 20.95/21.11 True
% 20.95/21.11 Clause #69 (by clausification #[68]): ∀ (a : Iota),
% 20.95/21.11 Eq
% 20.95/21.11 (∀ (Y U V : Iota),
% 20.95/21.11 And (And (distinct_points (skS.0 0 a) Y) (convergent_lines U V))
% 20.95/21.11 (Not (distinct_lines U (line_connecting (skS.0 0 a) Y))) →
% 20.95/21.11 And (Not (apart_point_and_line (skS.0 0 a) U)) (Not (apart_point_and_line Y U)))
% 20.95/21.11 False
% 20.95/21.11 Clause #70 (by clausification #[69]): ∀ (a a_1 : Iota),
% 20.95/21.11 Eq
% 20.95/21.11 (Not
% 20.95/21.11 (∀ (U V : Iota),
% 20.95/21.11 And (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) (convergent_lines U V))
% 20.95/21.11 (Not (distinct_lines U (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 20.95/21.11 And (Not (apart_point_and_line (skS.0 0 a) U)) (Not (apart_point_and_line (skS.0 1 a a_1) U))))
% 20.95/21.13 True
% 20.95/21.13 Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota),
% 20.95/21.13 Eq
% 20.95/21.13 (∀ (U V : Iota),
% 20.95/21.13 And (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) (convergent_lines U V))
% 20.95/21.13 (Not (distinct_lines U (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 20.95/21.13 And (Not (apart_point_and_line (skS.0 0 a) U)) (Not (apart_point_and_line (skS.0 1 a a_1) U)))
% 20.95/21.13 False
% 20.95/21.13 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.13 Eq
% 20.95/21.13 (Not
% 20.95/21.13 (∀ (V : Iota),
% 20.95/21.13 And (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) (convergent_lines (skS.0 2 a a_1 a_2) V))
% 20.95/21.13 (Not (distinct_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 20.95/21.13 And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 20.95/21.13 (Not (apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))))
% 20.95/21.13 True
% 20.95/21.13 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.13 Eq
% 20.95/21.13 (∀ (V : Iota),
% 20.95/21.13 And (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) (convergent_lines (skS.0 2 a a_1 a_2) V))
% 20.95/21.13 (Not (distinct_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 20.95/21.13 And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 20.95/21.13 (Not (apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 20.95/21.13 False
% 20.95/21.13 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 a_3 : Iota),
% 20.95/21.13 Eq
% 20.95/21.13 (Not
% 20.95/21.13 (And
% 20.95/21.13 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 20.95/21.13 (convergent_lines (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 20.95/21.13 (Not (distinct_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 20.95/21.13 And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 20.95/21.13 (Not (apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))))
% 20.95/21.13 True
% 20.95/21.13 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 a_3 : Iota),
% 20.95/21.13 Eq
% 20.95/21.13 (And
% 20.95/21.13 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 20.95/21.13 (convergent_lines (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 20.95/21.13 (Not (distinct_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 20.95/21.13 And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 20.95/21.13 (Not (apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 20.95/21.13 False
% 20.95/21.13 Clause #76 (by clausification #[75]): ∀ (a a_1 a_2 a_3 : Iota),
% 20.95/21.13 Eq
% 20.95/21.13 (And
% 20.95/21.13 (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) (convergent_lines (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 20.95/21.13 (Not (distinct_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))))
% 20.95/21.13 True
% 20.95/21.13 Clause #77 (by clausification #[75]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.13 Eq
% 20.95/21.13 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 20.95/21.13 (Not (apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 20.95/21.13 False
% 20.95/21.13 Clause #78 (by clausification #[76]): ∀ (a a_1 a_2 : Iota), Eq (Not (distinct_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) True
% 20.95/21.13 Clause #79 (by clausification #[76]): ∀ (a a_1 a_2 a_3 : Iota),
% 20.95/21.13 Eq (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) (convergent_lines (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 20.95/21.13 True
% 20.95/21.13 Clause #80 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) False
% 20.95/21.13 Clause #91 (by clausification #[79]): ∀ (a a_1 : Iota), Eq (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) True
% 20.95/21.13 Clause #96 (by superposition #[91, 24]): ∀ (a a_1 : Iota),
% 20.95/21.13 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)
% 20.95/21.13 Clause #97 (by superposition #[91, 28]): ∀ (a a_1 : Iota),
% 20.95/21.13 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)
% 20.95/21.13 Clause #100 (by clausification #[77]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.13 Or (Eq (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) False)
% 20.95/21.13 (Eq (Not (apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) False)
% 20.95/21.13 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.17 Or (Eq (Not (apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) False)
% 20.95/21.17 (Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 20.95/21.17 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.17 Or (Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 20.95/21.17 (Eq (apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True)
% 20.95/21.17 Clause #103 (by superposition #[102, 51]): ∀ (a a_1 a_2 a_3 : Iota),
% 20.95/21.17 Or (Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 20.95/21.17 (Or (Eq True False)
% 20.95/21.17 (Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (apart_point_and_line (skS.0 1 a a_1) a_3) True)))
% 20.95/21.17 Clause #112 (by clausification #[97]): ∀ (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
% 20.95/21.17 Clause #140 (by clausification #[96]): ∀ (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
% 20.95/21.17 Clause #235 (by clausification #[103]): ∀ (a a_1 a_2 a_3 : Iota),
% 20.95/21.17 Or (Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 20.95/21.17 (Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (apart_point_and_line (skS.0 1 a a_1) a_3) True))
% 20.95/21.17 Clause #238 (by superposition #[235, 80]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.17 Or (Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 20.95/21.17 (Or (Eq (apart_point_and_line (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True) (Eq True False))
% 20.95/21.17 Clause #1707 (by clausification #[238]): ∀ (a a_1 a_2 : Iota),
% 20.95/21.17 Or (Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 20.95/21.17 (Eq (apart_point_and_line (skS.0 1 a a_1) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True)
% 20.95/21.17 Clause #1710 (by superposition #[1707, 140]): ∀ (a a_1 a_2 : Iota), Or (Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True) (Eq True False)
% 20.95/21.17 Clause #1762 (by clausification #[1710]): ∀ (a a_1 a_2 : Iota), Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True
% 20.95/21.17 Clause #1764 (by superposition #[1762, 51]): ∀ (a a_1 a_2 a_3 : Iota),
% 20.95/21.17 Or (Eq True False)
% 20.95/21.17 (Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (apart_point_and_line (skS.0 0 a) a_3) True))
% 20.95/21.17 Clause #1773 (by clausification #[1764]): ∀ (a a_1 a_2 a_3 : Iota),
% 20.95/21.17 Or (Eq (distinct_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (apart_point_and_line (skS.0 0 a) a_3) True)
% 20.95/21.17 Clause #1774 (by superposition #[1773, 80]): ∀ (a a_1 : Iota),
% 20.95/21.17 Or (Eq (apart_point_and_line (skS.0 0 a) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True) (Eq True False)
% 20.95/21.17 Clause #1791 (by clausification #[1774]): ∀ (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
% 20.95/21.17 Clause #1792 (by superposition #[1791, 112]): Eq True False
% 20.95/21.17 Clause #1838 (by clausification #[1792]): False
% 20.95/21.17 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------