TSTP Solution File: GEO247+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO247+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 22:55:54 EDT 2023
% Result : Theorem 3.56s 3.72s
% Output : Proof 3.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO247+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n029.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 22:39:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.56/3.72 SZS status Theorem for theBenchmark.p
% 3.56/3.72 SZS output start Proof for theBenchmark.p
% 3.56/3.72 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.56/3.72 Clause #31 (by assumption #[]): Eq
% 3.56/3.72 (Not
% 3.56/3.72 (∀ (A B C D L M : Iota),
% 3.56/3.72 And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And (And (And (left_apart_point A L) (left_apart_point A M)) (left_apart_point B (reverse_line L)))
% 3.56/3.72 (left_apart_point B (reverse_line M)))
% 3.56/3.72 (left_apart_point C L))
% 3.56/3.72 (left_apart_point C (reverse_line M)))
% 3.56/3.72 (left_apart_point D (reverse_line L)))
% 3.56/3.72 (left_apart_point D M) →
% 3.56/3.72 convergent_lines L M))
% 3.56/3.72 True
% 3.56/3.72 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
% 3.56/3.72 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
% 3.56/3.72 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
% 3.56/3.72 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 3.56/3.72 Clause #140 (by clausification #[31]): Eq
% 3.56/3.72 (∀ (A B C D L M : Iota),
% 3.56/3.72 And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And (And (And (left_apart_point A L) (left_apart_point A M)) (left_apart_point B (reverse_line L)))
% 3.56/3.72 (left_apart_point B (reverse_line M)))
% 3.56/3.72 (left_apart_point C L))
% 3.56/3.72 (left_apart_point C (reverse_line M)))
% 3.56/3.72 (left_apart_point D (reverse_line L)))
% 3.56/3.72 (left_apart_point D M) →
% 3.56/3.72 convergent_lines L M)
% 3.56/3.72 False
% 3.56/3.72 Clause #141 (by clausification #[140]): ∀ (a : Iota),
% 3.56/3.72 Eq
% 3.56/3.72 (Not
% 3.56/3.72 (∀ (B C D L M : Iota),
% 3.56/3.72 And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.56/3.72 (left_apart_point B (reverse_line L)))
% 3.56/3.72 (left_apart_point B (reverse_line M)))
% 3.56/3.72 (left_apart_point C L))
% 3.56/3.72 (left_apart_point C (reverse_line M)))
% 3.56/3.72 (left_apart_point D (reverse_line L)))
% 3.56/3.72 (left_apart_point D M) →
% 3.56/3.72 convergent_lines L M))
% 3.56/3.72 True
% 3.56/3.72 Clause #142 (by clausification #[141]): ∀ (a : Iota),
% 3.56/3.72 Eq
% 3.56/3.72 (∀ (B C D L M : Iota),
% 3.56/3.72 And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.56/3.72 (left_apart_point B (reverse_line L)))
% 3.56/3.72 (left_apart_point B (reverse_line M)))
% 3.56/3.72 (left_apart_point C L))
% 3.56/3.72 (left_apart_point C (reverse_line M)))
% 3.56/3.72 (left_apart_point D (reverse_line L)))
% 3.56/3.72 (left_apart_point D M) →
% 3.56/3.72 convergent_lines L M)
% 3.56/3.72 False
% 3.56/3.72 Clause #143 (by clausification #[142]): ∀ (a a_1 : Iota),
% 3.56/3.72 Eq
% 3.56/3.72 (Not
% 3.56/3.72 (∀ (C D L M : Iota),
% 3.56/3.72 And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.56/3.72 (left_apart_point (skS.0 1 a a_1) (reverse_line L)))
% 3.56/3.72 (left_apart_point (skS.0 1 a a_1) (reverse_line M)))
% 3.56/3.72 (left_apart_point C L))
% 3.56/3.72 (left_apart_point C (reverse_line M)))
% 3.56/3.72 (left_apart_point D (reverse_line L)))
% 3.56/3.72 (left_apart_point D M) →
% 3.56/3.72 convergent_lines L M))
% 3.56/3.72 True
% 3.56/3.72 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota),
% 3.56/3.72 Eq
% 3.56/3.72 (∀ (C D L M : Iota),
% 3.56/3.72 And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And
% 3.56/3.72 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.56/3.72 (left_apart_point (skS.0 1 a a_1) (reverse_line L)))
% 3.56/3.72 (left_apart_point (skS.0 1 a a_1) (reverse_line M)))
% 3.56/3.72 (left_apart_point C L))
% 3.56/3.74 (left_apart_point C (reverse_line M)))
% 3.56/3.74 (left_apart_point D (reverse_line L)))
% 3.56/3.74 (left_apart_point D M) →
% 3.56/3.74 convergent_lines L M)
% 3.56/3.74 False
% 3.56/3.74 Clause #145 (by clausification #[144]): ∀ (a a_1 a_2 : Iota),
% 3.56/3.74 Eq
% 3.56/3.74 (Not
% 3.56/3.74 (∀ (D L M : Iota),
% 3.56/3.74 And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line L)))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line M)))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) L))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line M)))
% 3.56/3.74 (left_apart_point D (reverse_line L)))
% 3.56/3.74 (left_apart_point D M) →
% 3.56/3.74 convergent_lines L M))
% 3.56/3.74 True
% 3.56/3.74 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota),
% 3.56/3.74 Eq
% 3.56/3.74 (∀ (D L M : Iota),
% 3.56/3.74 And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line L)))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line M)))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) L))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line M)))
% 3.56/3.74 (left_apart_point D (reverse_line L)))
% 3.56/3.74 (left_apart_point D M) →
% 3.56/3.74 convergent_lines L M)
% 3.56/3.74 False
% 3.56/3.74 Clause #147 (by clausification #[146]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.56/3.74 Eq
% 3.56/3.74 (Not
% 3.56/3.74 (∀ (L M : Iota),
% 3.56/3.74 And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line L)))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line M)))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) L))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line M)))
% 3.56/3.74 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (reverse_line L)))
% 3.56/3.74 (left_apart_point (skS.0 3 a a_1 a_2 a_3) M) →
% 3.56/3.74 convergent_lines L M))
% 3.56/3.74 True
% 3.56/3.74 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.56/3.74 Eq
% 3.56/3.74 (∀ (L M : Iota),
% 3.56/3.74 And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line L)))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line M)))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) L))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line M)))
% 3.56/3.74 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (reverse_line L)))
% 3.56/3.74 (left_apart_point (skS.0 3 a a_1 a_2 a_3) M) →
% 3.56/3.74 convergent_lines L M)
% 3.56/3.74 False
% 3.56/3.74 Clause #149 (by clausification #[148]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.56/3.74 Eq
% 3.56/3.74 (Not
% 3.56/3.74 (∀ (M : Iota),
% 3.56/3.74 And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And
% 3.56/3.74 (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4)) (left_apart_point (skS.0 0 a) M))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.74 (left_apart_point (skS.0 1 a a_1) (reverse_line M)))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.56/3.74 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line M)))
% 3.56/3.74 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.74 (left_apart_point (skS.0 3 a a_1 a_2 a_3) M) →
% 3.56/3.74 convergent_lines (skS.0 4 a a_1 a_2 a_3 a_4) M))
% 3.56/3.74 True
% 3.56/3.74 Clause #150 (by clausification #[149]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.56/3.74 Eq
% 3.56/3.74 (∀ (M : Iota),
% 3.56/3.74 And
% 3.56/3.74 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4)) (left_apart_point (skS.0 0 a) M))
% 3.56/3.75 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.75 (left_apart_point (skS.0 1 a a_1) (reverse_line M)))
% 3.56/3.75 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.56/3.75 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line M)))
% 3.56/3.75 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.75 (left_apart_point (skS.0 3 a a_1 a_2 a_3) M) →
% 3.56/3.75 convergent_lines (skS.0 4 a a_1 a_2 a_3 a_4) M)
% 3.56/3.75 False
% 3.56/3.75 Clause #151 (by clausification #[150]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.56/3.75 Eq
% 3.56/3.75 (Not
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.56/3.75 (left_apart_point (skS.0 0 a) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.56/3.75 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.75 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 5 a a_1 a_2 a_3 a_4 a_5))))
% 3.56/3.75 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.56/3.75 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (skS.0 5 a a_1 a_2 a_3 a_4 a_5))))
% 3.56/3.75 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.75 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)) →
% 3.56/3.75 convergent_lines (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.56/3.75 True
% 3.56/3.75 Clause #152 (by clausification #[151]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.56/3.75 Eq
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.56/3.75 (left_apart_point (skS.0 0 a) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.56/3.75 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.75 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 5 a a_1 a_2 a_3 a_4 a_5))))
% 3.56/3.75 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.56/3.75 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (skS.0 5 a a_1 a_2 a_3 a_4 a_5))))
% 3.56/3.75 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.75 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)) →
% 3.56/3.75 convergent_lines (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1 a_2 a_3 a_4 a_5))
% 3.56/3.75 False
% 3.56/3.75 Clause #153 (by clausification #[152]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.56/3.75 Eq
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And
% 3.56/3.75 (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.56/3.75 (left_apart_point (skS.0 0 a) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.56/3.75 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.75 (left_apart_point (skS.0 1 a a_1) (reverse_line (skS.0 5 a a_1 a_2 a_3 a_4 a_5))))
% 3.56/3.75 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.56/3.75 (left_apart_point (skS.0 2 a a_1 a_2) (reverse_line (skS.0 5 a a_1 a_2 a_3 a_4 a_5))))
% 3.56/3.75 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (reverse_line (skS.0 4 a a_1 a_2 a_3 a_4))))
% 3.56/3.75 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.56/3.75 True
% 3.56/3.75 Clause #155 (by clausification #[153]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (left_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)) True
% 3.56/3.75 Clause #157 (by superposition #[155, 83]): Eq True False
% 3.56/3.75 Clause #158 (by clausification #[157]): False
% 3.56/3.75 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------