TSTP Solution File: GEO208+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO208+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 22:55:38 EDT 2023
% Result : Theorem 4.05s 4.24s
% Output : Proof 4.10s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO208+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n011.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 22:47:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.05/4.24 SZS status Theorem for theBenchmark.p
% 4.05/4.24 SZS output start Proof for theBenchmark.p
% 4.05/4.24 Clause #16 (by assumption #[]): Eq
% 4.05/4.24 (∀ (X Y Z : Iota),
% 4.05/4.24 distinct_lines Y Z → Or (Or (apart_point_and_line X Y) (apart_point_and_line X Z)) (convergent_lines Y Z))
% 4.05/4.24 True
% 4.05/4.24 Clause #17 (by assumption #[]): Eq
% 4.05/4.24 (Not
% 4.05/4.24 (∀ (X Y Z : Iota),
% 4.05/4.24 And (And (Not (apart_point_and_line X Y)) (Not (apart_point_and_line X Z))) (Not (convergent_lines Y Z)) →
% 4.05/4.24 Not (distinct_lines Y Z)))
% 4.05/4.24 True
% 4.05/4.24 Clause #35 (by clausification #[17]): Eq
% 4.05/4.24 (∀ (X Y Z : Iota),
% 4.05/4.24 And (And (Not (apart_point_and_line X Y)) (Not (apart_point_and_line X Z))) (Not (convergent_lines Y Z)) →
% 4.05/4.24 Not (distinct_lines Y Z))
% 4.05/4.24 False
% 4.05/4.24 Clause #36 (by clausification #[35]): ∀ (a : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (Not
% 4.05/4.24 (∀ (Y Z : Iota),
% 4.05/4.24 And (And (Not (apart_point_and_line (skS.0 0 a) Y)) (Not (apart_point_and_line (skS.0 0 a) Z)))
% 4.05/4.24 (Not (convergent_lines Y Z)) →
% 4.05/4.24 Not (distinct_lines Y Z)))
% 4.05/4.24 True
% 4.05/4.24 Clause #37 (by clausification #[36]): ∀ (a : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (∀ (Y Z : Iota),
% 4.05/4.24 And (And (Not (apart_point_and_line (skS.0 0 a) Y)) (Not (apart_point_and_line (skS.0 0 a) Z)))
% 4.05/4.24 (Not (convergent_lines Y Z)) →
% 4.05/4.24 Not (distinct_lines Y Z))
% 4.05/4.24 False
% 4.05/4.24 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (Not
% 4.05/4.24 (∀ (Z : Iota),
% 4.05/4.24 And (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1))) (Not (apart_point_and_line (skS.0 0 a) Z)))
% 4.05/4.24 (Not (convergent_lines (skS.0 1 a a_1) Z)) →
% 4.05/4.24 Not (distinct_lines (skS.0 1 a a_1) Z)))
% 4.05/4.24 True
% 4.05/4.24 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (∀ (Z : Iota),
% 4.05/4.24 And (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1))) (Not (apart_point_and_line (skS.0 0 a) Z)))
% 4.05/4.24 (Not (convergent_lines (skS.0 1 a a_1) Z)) →
% 4.05/4.24 Not (distinct_lines (skS.0 1 a a_1) Z))
% 4.05/4.24 False
% 4.05/4.24 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (Not
% 4.05/4.24 (And
% 4.05/4.24 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)))
% 4.05/4.24 (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 4.05/4.24 (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) →
% 4.05/4.24 Not (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 4.05/4.24 True
% 4.05/4.24 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (And
% 4.05/4.24 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)))
% 4.05/4.24 (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 4.05/4.24 (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) →
% 4.05/4.24 Not (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.05/4.24 False
% 4.05/4.24 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (And
% 4.05/4.24 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)))
% 4.05/4.24 (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 4.05/4.24 (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 4.05/4.24 True
% 4.05/4.24 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Eq (Not (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) False
% 4.05/4.24 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), Eq (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True
% 4.05/4.24 Clause #45 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)))
% 4.05/4.24 (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 4.05/4.24 True
% 4.05/4.24 Clause #46 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False
% 4.05/4.24 Clause #88 (by clausification #[16]): ∀ (a : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (∀ (Y Z : Iota),
% 4.05/4.24 distinct_lines Y Z → Or (Or (apart_point_and_line a Y) (apart_point_and_line a Z)) (convergent_lines Y Z))
% 4.05/4.24 True
% 4.05/4.24 Clause #89 (by clausification #[88]): ∀ (a a_1 : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (∀ (Z : Iota),
% 4.05/4.24 distinct_lines a Z → Or (Or (apart_point_and_line a_1 a) (apart_point_and_line a_1 Z)) (convergent_lines a Z))
% 4.05/4.24 True
% 4.05/4.24 Clause #90 (by clausification #[89]): ∀ (a a_1 a_2 : Iota),
% 4.05/4.24 Eq
% 4.05/4.24 (distinct_lines a a_1 →
% 4.05/4.24 Or (Or (apart_point_and_line a_2 a) (apart_point_and_line a_2 a_1)) (convergent_lines a a_1))
% 4.10/4.26 True
% 4.10/4.26 Clause #91 (by clausification #[90]): ∀ (a a_1 a_2 : Iota),
% 4.10/4.26 Or (Eq (distinct_lines a a_1) False)
% 4.10/4.26 (Eq (Or (Or (apart_point_and_line a_2 a) (apart_point_and_line a_2 a_1)) (convergent_lines a a_1)) True)
% 4.10/4.26 Clause #92 (by clausification #[91]): ∀ (a a_1 a_2 : Iota),
% 4.10/4.26 Or (Eq (distinct_lines a a_1) False)
% 4.10/4.26 (Or (Eq (Or (apart_point_and_line a_2 a) (apart_point_and_line a_2 a_1)) True) (Eq (convergent_lines a a_1) True))
% 4.10/4.26 Clause #93 (by clausification #[92]): ∀ (a a_1 a_2 : Iota),
% 4.10/4.26 Or (Eq (distinct_lines a a_1) False)
% 4.10/4.26 (Or (Eq (convergent_lines a a_1) True)
% 4.10/4.26 (Or (Eq (apart_point_and_line a_2 a) True) (Eq (apart_point_and_line a_2 a_1) True)))
% 4.10/4.26 Clause #103 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 4.10/4.26 Clause #105 (by superposition #[103, 93]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.10/4.26 Or (Eq True False)
% 4.10/4.26 (Or (Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True)
% 4.10/4.26 (Or (Eq (apart_point_and_line a_3 (skS.0 1 a a_1)) True)
% 4.10/4.26 (Eq (apart_point_and_line a_3 (skS.0 2 a a_1 a_2)) True)))
% 4.10/4.26 Clause #121 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), Eq (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) True
% 4.10/4.26 Clause #122 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1))) True
% 4.10/4.26 Clause #123 (by clausification #[121]): ∀ (a a_1 a_2 : Iota), Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) False
% 4.10/4.26 Clause #124 (by clausification #[122]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)) False
% 4.10/4.26 Clause #146 (by clausification #[105]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.10/4.26 Or (Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True)
% 4.10/4.26 (Or (Eq (apart_point_and_line a_3 (skS.0 1 a a_1)) True) (Eq (apart_point_and_line a_3 (skS.0 2 a a_1 a_2)) True))
% 4.10/4.26 Clause #147 (by superposition #[146, 46]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.10/4.26 Or (Eq (apart_point_and_line a (skS.0 1 a_1 a_2)) True)
% 4.10/4.26 (Or (Eq (apart_point_and_line a (skS.0 2 a_1 a_2 a_3)) True) (Eq True False))
% 4.10/4.26 Clause #154 (by clausification #[147]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.10/4.26 Or (Eq (apart_point_and_line a (skS.0 1 a_1 a_2)) True) (Eq (apart_point_and_line a (skS.0 2 a_1 a_2 a_3)) True)
% 4.10/4.26 Clause #155 (by superposition #[154, 123]): ∀ (a a_1 : Iota), Or (Eq (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 4.10/4.26 Clause #158 (by clausification #[155]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.10/4.26 Clause #159 (by superposition #[158, 124]): Eq True False
% 4.10/4.26 Clause #162 (by clausification #[159]): False
% 4.10/4.26 SZS output end Proof for theBenchmark.p
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