TSTP Solution File: GEO257+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO257+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 22:55:58 EDT 2023
% Result : Theorem 3.63s 3.86s
% Output : Proof 3.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO257+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 19:53:21 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.63/3.86 SZS status Theorem for theBenchmark.p
% 3.63/3.86 SZS output start Proof for theBenchmark.p
% 3.63/3.86 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.63/3.86 Clause #31 (by assumption #[]): Eq
% 3.63/3.86 (Not
% 3.63/3.86 (∀ (L A B C D : Iota),
% 3.63/3.86 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C L)))
% 3.63/3.86 (left_apart_point D L) →
% 3.63/3.86 And (before_on_line L A B) (before_on_line L B C) → before_on_line L A C))
% 3.63/3.86 True
% 3.63/3.86 Clause #79 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True
% 3.63/3.86 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True
% 3.63/3.86 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False
% 3.63/3.86 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 3.63/3.86 Clause #175 (by clausification #[31]): Eq
% 3.63/3.86 (∀ (L A B C D : Iota),
% 3.63/3.86 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C L)))
% 3.63/3.86 (left_apart_point D L) →
% 3.63/3.86 And (before_on_line L A B) (before_on_line L B C) → before_on_line L A C)
% 3.63/3.86 False
% 3.63/3.86 Clause #176 (by clausification #[175]): ∀ (a : Iota),
% 3.63/3.86 Eq
% 3.63/3.86 (Not
% 3.63/3.86 (∀ (A B C D : Iota),
% 3.63/3.86 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C (skS.0 0 a))))
% 3.63/3.86 (left_apart_point D (skS.0 0 a)) →
% 3.63/3.86 And (before_on_line (skS.0 0 a) A B) (before_on_line (skS.0 0 a) B C) → before_on_line (skS.0 0 a) A C))
% 3.63/3.86 True
% 3.63/3.86 Clause #177 (by clausification #[176]): ∀ (a : Iota),
% 3.63/3.86 Eq
% 3.63/3.86 (∀ (A B C D : Iota),
% 3.63/3.86 And (And (And (distinct_points A C) (distinct_points B C)) (Not (apart_point_and_line C (skS.0 0 a))))
% 3.63/3.86 (left_apart_point D (skS.0 0 a)) →
% 3.63/3.86 And (before_on_line (skS.0 0 a) A B) (before_on_line (skS.0 0 a) B C) → before_on_line (skS.0 0 a) A C)
% 3.63/3.86 False
% 3.63/3.86 Clause #178 (by clausification #[177]): ∀ (a a_1 : Iota),
% 3.63/3.86 Eq
% 3.63/3.86 (Not
% 3.63/3.86 (∀ (B C D : Iota),
% 3.63/3.86 And
% 3.63/3.86 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C))
% 3.63/3.86 (Not (apart_point_and_line C (skS.0 0 a))))
% 3.63/3.86 (left_apart_point D (skS.0 0 a)) →
% 3.63/3.86 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) B) (before_on_line (skS.0 0 a) B C) →
% 3.63/3.86 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C))
% 3.63/3.86 True
% 3.63/3.86 Clause #179 (by clausification #[178]): ∀ (a a_1 : Iota),
% 3.63/3.86 Eq
% 3.63/3.86 (∀ (B C D : Iota),
% 3.63/3.86 And
% 3.63/3.86 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points B C))
% 3.63/3.86 (Not (apart_point_and_line C (skS.0 0 a))))
% 3.63/3.86 (left_apart_point D (skS.0 0 a)) →
% 3.63/3.86 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) B) (before_on_line (skS.0 0 a) B C) →
% 3.63/3.86 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C)
% 3.63/3.86 False
% 3.63/3.86 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 : Iota),
% 3.63/3.86 Eq
% 3.63/3.86 (Not
% 3.63/3.86 (∀ (C D : Iota),
% 3.63/3.86 And
% 3.63/3.86 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C))
% 3.63/3.86 (Not (apart_point_and_line C (skS.0 0 a))))
% 3.63/3.86 (left_apart_point D (skS.0 0 a)) →
% 3.63/3.86 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.63/3.86 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) C) →
% 3.63/3.86 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C))
% 3.63/3.86 True
% 3.63/3.86 Clause #181 (by clausification #[180]): ∀ (a a_1 a_2 : Iota),
% 3.63/3.86 Eq
% 3.63/3.86 (∀ (C D : Iota),
% 3.63/3.86 And
% 3.63/3.86 (And (And (distinct_points (skS.0 1 a a_1) C) (distinct_points (skS.0 2 a a_1 a_2) C))
% 3.63/3.86 (Not (apart_point_and_line C (skS.0 0 a))))
% 3.63/3.86 (left_apart_point D (skS.0 0 a)) →
% 3.63/3.86 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.63/3.86 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) C) →
% 3.63/3.86 before_on_line (skS.0 0 a) (skS.0 1 a a_1) C)
% 3.63/3.86 False
% 3.63/3.86 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.72/3.87 Eq
% 3.72/3.87 (Not
% 3.72/3.87 (∀ (D : Iota),
% 3.72/3.87 And
% 3.72/3.87 (And
% 3.72/3.87 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.72/3.87 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.72/3.87 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 3.72/3.87 (left_apart_point D (skS.0 0 a)) →
% 3.72/3.87 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.72/3.87 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) →
% 3.72/3.87 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)))
% 3.72/3.87 True
% 3.72/3.87 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.72/3.87 Eq
% 3.72/3.87 (∀ (D : Iota),
% 3.72/3.87 And
% 3.72/3.87 (And
% 3.72/3.87 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.72/3.87 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.72/3.87 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 3.72/3.87 (left_apart_point D (skS.0 0 a)) →
% 3.72/3.87 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.72/3.87 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) →
% 3.72/3.87 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.72/3.87 False
% 3.72/3.87 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.72/3.87 Eq
% 3.72/3.87 (Not
% 3.72/3.87 (And
% 3.72/3.87 (And
% 3.72/3.87 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.72/3.87 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.72/3.87 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 3.72/3.87 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) →
% 3.72/3.87 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.72/3.87 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) →
% 3.72/3.87 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)))
% 3.72/3.87 True
% 3.72/3.87 Clause #185 (by clausification #[184]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.72/3.87 Eq
% 3.72/3.87 (And
% 3.72/3.87 (And
% 3.72/3.87 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.72/3.87 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.72/3.87 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 3.72/3.87 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) →
% 3.72/3.87 And (before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.72/3.87 (before_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) →
% 3.72/3.87 before_on_line (skS.0 0 a) (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.72/3.87 False
% 3.72/3.87 Clause #186 (by clausification #[185]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.72/3.87 Eq
% 3.72/3.87 (And
% 3.72/3.87 (And
% 3.72/3.87 (And (distinct_points (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 3.72/3.87 (distinct_points (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.72/3.87 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a))))
% 3.72/3.87 (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)))
% 3.72/3.87 True
% 3.72/3.87 Clause #188 (by clausification #[186]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (left_apart_point (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a)) True
% 3.72/3.87 Clause #190 (by superposition #[188, 83]): Eq True False
% 3.72/3.87 Clause #191 (by clausification #[190]): False
% 3.72/3.87 SZS output end Proof for theBenchmark.p
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