TSTP Solution File: GEO242+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 22:55:52 EDT 2023
% Result : Theorem 3.51s 3.80s
% Output : Proof 3.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 20:38:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.51/3.80 SZS status Theorem for theBenchmark.p
% 3.51/3.80 SZS output start Proof for theBenchmark.p
% 3.51/3.80 Clause #15 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True
% 3.51/3.80 Clause #31 (by assumption #[]): Eq
% 3.51/3.80 (Not
% 3.51/3.80 (∀ (A B L : Iota),
% 3.51/3.80 And (And (Not (apart_point_and_line A L)) (distinct_points A B))
% 3.51/3.80 (left_convergent_lines L (reverse_line (line_connecting A B))) →
% 3.51/3.80 left_apart_point B (reverse_line L)))
% 3.51/3.80 True
% 3.51/3.80 Clause #74 (by clausification #[31]): Eq
% 3.51/3.80 (∀ (A B L : Iota),
% 3.51/3.80 And (And (Not (apart_point_and_line A L)) (distinct_points A B))
% 3.51/3.80 (left_convergent_lines L (reverse_line (line_connecting A B))) →
% 3.51/3.80 left_apart_point B (reverse_line L))
% 3.51/3.80 False
% 3.51/3.80 Clause #75 (by clausification #[74]): ∀ (a : Iota),
% 3.51/3.80 Eq
% 3.51/3.80 (Not
% 3.51/3.80 (∀ (B L : Iota),
% 3.51/3.80 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) B))
% 3.51/3.80 (left_convergent_lines L (reverse_line (line_connecting (skS.0 0 a) B))) →
% 3.51/3.80 left_apart_point B (reverse_line L)))
% 3.51/3.80 True
% 3.51/3.80 Clause #76 (by clausification #[75]): ∀ (a : Iota),
% 3.51/3.80 Eq
% 3.51/3.80 (∀ (B L : Iota),
% 3.51/3.80 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) B))
% 3.51/3.80 (left_convergent_lines L (reverse_line (line_connecting (skS.0 0 a) B))) →
% 3.51/3.80 left_apart_point B (reverse_line L))
% 3.51/3.80 False
% 3.51/3.80 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota),
% 3.51/3.80 Eq
% 3.51/3.80 (Not
% 3.51/3.80 (∀ (L : Iota),
% 3.51/3.80 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1)))
% 3.51/3.80 (left_convergent_lines L (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 3.51/3.80 left_apart_point (skS.0 1 a a_1) (reverse_line L)))
% 3.51/3.80 True
% 3.51/3.80 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota),
% 3.51/3.80 Eq
% 3.51/3.80 (∀ (L : Iota),
% 3.51/3.80 And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1)))
% 3.51/3.80 (left_convergent_lines L (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 3.51/3.80 left_apart_point (skS.0 1 a a_1) (reverse_line L))
% 3.51/3.80 False
% 3.51/3.80 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.80 Eq
% 3.51/3.80 (Not
% 3.51/3.80 (And
% 3.51/3.80 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 3.51/3.80 (distinct_points (skS.0 0 a) (skS.0 1 a a_1)))
% 3.51/3.80 (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 3.51/3.80 left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))))
% 3.51/3.80 True
% 3.51/3.80 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.80 Eq
% 3.51/3.80 (And
% 3.51/3.80 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) (distinct_points (skS.0 0 a) (skS.0 1 a a_1)))
% 3.51/3.80 (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) →
% 3.51/3.80 left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2)))
% 3.51/3.80 False
% 3.51/3.80 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.80 Eq
% 3.51/3.80 (And
% 3.51/3.80 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) (distinct_points (skS.0 0 a) (skS.0 1 a a_1)))
% 3.51/3.80 (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))))
% 3.51/3.80 True
% 3.51/3.80 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.80 Eq (left_convergent_lines (skS.0 2 a a_1 a_2) (reverse_line (line_connecting (skS.0 0 a) (skS.0 1 a a_1)))) True
% 3.51/3.80 Clause #119 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))) True
% 3.51/3.80 Clause #120 (by clausification #[119]): ∀ (a a_1 : Iota), Eq (Not (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))) True
% 3.51/3.80 Clause #121 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) False
% 3.51/3.80 Clause #122 (by clausification #[121]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a (reverse_line a_1)) False
% 3.51/3.80 Clause #124 (by superposition #[122, 83]): Eq False True
% 3.51/3.80 Clause #125 (by clausification #[124]): False
% 3.51/3.80 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------