TSTP Solution File: GEO241+1 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : GEO241+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n014.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 3.62s 3.79s
% Output   : Proof 3.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO241+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.13  % Command    : duper %s
% 0.14/0.34  % Computer : n014.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
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 21:25:44 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 3.62/3.79  SZS status Theorem for theBenchmark.p
% 3.62/3.79  SZS output start Proof for theBenchmark.p
% 3.62/3.79  Clause #15 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True
% 3.62/3.79  Clause #31 (by assumption #[]): Eq
% 3.62/3.79    (Not
% 3.62/3.79      (∀ (A B L : Iota),
% 3.62/3.79        And (And (Not (apart_point_and_line A L)) (distinct_points A B)) (left_convergent_lines L (line_connecting A B)) →
% 3.62/3.79          left_apart_point B L))
% 3.62/3.79    True
% 3.62/3.79  Clause #63 (by clausification #[31]): Eq
% 3.62/3.79    (∀ (A B L : Iota),
% 3.62/3.79      And (And (Not (apart_point_and_line A L)) (distinct_points A B)) (left_convergent_lines L (line_connecting A B)) →
% 3.62/3.79        left_apart_point B L)
% 3.62/3.79    False
% 3.62/3.79  Clause #64 (by clausification #[63]): ∀ (a : Iota),
% 3.62/3.79    Eq
% 3.62/3.79      (Not
% 3.62/3.79        (∀ (B L : Iota),
% 3.62/3.79          And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) B))
% 3.62/3.79              (left_convergent_lines L (line_connecting (skS.0 0 a) B)) →
% 3.62/3.79            left_apart_point B L))
% 3.62/3.79      True
% 3.62/3.79  Clause #65 (by clausification #[64]): ∀ (a : Iota),
% 3.62/3.79    Eq
% 3.62/3.79      (∀ (B L : Iota),
% 3.62/3.79        And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) B))
% 3.62/3.79            (left_convergent_lines L (line_connecting (skS.0 0 a) B)) →
% 3.62/3.79          left_apart_point B L)
% 3.62/3.79      False
% 3.62/3.79  Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota),
% 3.62/3.79    Eq
% 3.62/3.79      (Not
% 3.62/3.79        (∀ (L : Iota),
% 3.62/3.79          And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1)))
% 3.62/3.79              (left_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.62/3.79            left_apart_point (skS.0 1 a a_1) L))
% 3.62/3.79      True
% 3.62/3.79  Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota),
% 3.62/3.79    Eq
% 3.62/3.79      (∀ (L : Iota),
% 3.62/3.79        And (And (Not (apart_point_and_line (skS.0 0 a) L)) (distinct_points (skS.0 0 a) (skS.0 1 a a_1)))
% 3.62/3.79            (left_convergent_lines L (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.62/3.79          left_apart_point (skS.0 1 a a_1) L)
% 3.62/3.79      False
% 3.62/3.79  Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.79    Eq
% 3.62/3.79      (Not
% 3.62/3.79        (And
% 3.62/3.79            (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 3.62/3.79              (distinct_points (skS.0 0 a) (skS.0 1 a a_1)))
% 3.62/3.79            (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.62/3.79          left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.62/3.79      True
% 3.62/3.79  Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.79    Eq
% 3.62/3.79      (And
% 3.62/3.79          (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)))
% 3.62/3.79          (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 3.62/3.79        left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.62/3.79      False
% 3.62/3.79  Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.79    Eq
% 3.62/3.79      (And
% 3.62/3.79        (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)))
% 3.62/3.79        (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))))
% 3.62/3.79      True
% 3.62/3.79  Clause #72 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), Eq (left_convergent_lines (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.62/3.79  Clause #85 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))) True
% 3.62/3.79  Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota), Eq (Not (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))) True
% 3.62/3.79  Clause #87 (by clausification #[86]): ∀ (a a_1 : Iota), Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) False
% 3.62/3.79  Clause #89 (by clausification #[87]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a a_1) False
% 3.62/3.79  Clause #90 (by superposition #[89, 72]): Eq False True
% 3.62/3.79  Clause #91 (by clausification #[90]): False
% 3.62/3.79  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------