TSTP Solution File: GEO263+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO263+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 22:56:00 EDT 2023
% Result : Theorem 6.35s 6.59s
% Output : Proof 6.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO263+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:43:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.35/6.59 SZS status Theorem for theBenchmark.p
% 6.35/6.59 SZS output start Proof for theBenchmark.p
% 6.35/6.59 Clause #1 (by assumption #[]): Eq
% 6.35/6.59 (∀ (L M : Iota),
% 6.35/6.59 Iff (convergent_lines L M) (And (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M))))
% 6.35/6.59 True
% 6.35/6.59 Clause #13 (by assumption #[]): Eq
% 6.35/6.59 (∀ (L M : Iota),
% 6.35/6.59 And (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M)) →
% 6.35/6.59 Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))
% 6.35/6.59 True
% 6.35/6.59 Clause #15 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True
% 6.35/6.59 Clause #31 (by assumption #[]): Eq
% 6.35/6.59 (Not
% 6.35/6.59 (∀ (L M N A B C : Iota),
% 6.35/6.59 And (And (And (between_on_line L A B C) (convergent_lines L M)) (convergent_lines L N)) (convergent_lines M N) →
% 6.35/6.59 between_on_line M (intersection_point M (parallel_through_point N A))
% 6.35/6.59 (intersection_point M (parallel_through_point N B)) (intersection_point M (parallel_through_point N C))))
% 6.35/6.59 True
% 6.35/6.59 Clause #66 (by clausification #[1]): ∀ (a : Iota),
% 6.35/6.59 Eq
% 6.35/6.59 (∀ (M : Iota),
% 6.35/6.59 Iff (convergent_lines a M) (And (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M))))
% 6.35/6.59 True
% 6.35/6.59 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota),
% 6.35/6.59 Eq
% 6.35/6.59 (Iff (convergent_lines a a_1)
% 6.35/6.59 (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))))
% 6.35/6.59 True
% 6.35/6.59 Clause #69 (by clausification #[67]): ∀ (a a_1 : Iota),
% 6.35/6.59 Or (Eq (convergent_lines a a_1) False)
% 6.35/6.59 (Eq (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True)
% 6.35/6.59 Clause #74 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))) True
% 6.35/6.59 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), Eq (Not (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))) True
% 6.35/6.59 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) False
% 6.35/6.59 Clause #78 (by clausification #[76]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a a_1) False
% 6.35/6.59 Clause #97 (by clausification #[13]): ∀ (a : Iota),
% 6.35/6.59 Eq
% 6.35/6.59 (∀ (M : Iota),
% 6.35/6.59 And (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M)) →
% 6.35/6.59 Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))
% 6.35/6.59 True
% 6.35/6.59 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota),
% 6.35/6.59 Eq
% 6.35/6.59 (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1)) →
% 6.35/6.59 Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))
% 6.35/6.59 True
% 6.35/6.59 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota),
% 6.35/6.59 Or (Eq (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) False)
% 6.35/6.59 (Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) True)
% 6.35/6.59 Clause #100 (by clausification #[99]): ∀ (a a_1 : Iota),
% 6.35/6.59 Or (Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) True)
% 6.35/6.59 (Or (Eq (unequally_directed_lines a a_1) False) (Eq (unequally_directed_lines a (reverse_line a_1)) False))
% 6.35/6.59 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota),
% 6.35/6.59 Or (Eq (unequally_directed_lines a a_1) False)
% 6.35/6.59 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 6.35/6.59 (Or (Eq (left_convergent_lines a a_1) True) (Eq (left_convergent_lines a (reverse_line a_1)) True)))
% 6.35/6.59 Clause #102 (by forward demodulation #[101, 78]): ∀ (a a_1 : Iota),
% 6.35/6.59 Or (Eq (unequally_directed_lines a a_1) False)
% 6.35/6.59 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 6.35/6.59 (Or (Eq False True) (Eq (left_convergent_lines a (reverse_line a_1)) True)))
% 6.35/6.59 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota),
% 6.35/6.59 Or (Eq (unequally_directed_lines a a_1) False)
% 6.35/6.59 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 6.35/6.59 (Eq (left_convergent_lines a (reverse_line a_1)) True))
% 6.35/6.59 Clause #155 (by clausification #[69]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) False) (Eq (unequally_directed_lines a (reverse_line a_1)) True)
% 6.42/6.61 Clause #156 (by clausification #[69]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) False) (Eq (unequally_directed_lines a a_1) True)
% 6.42/6.61 Clause #244 (by clausification #[31]): Eq
% 6.42/6.61 (∀ (L M N A B C : Iota),
% 6.42/6.61 And (And (And (between_on_line L A B C) (convergent_lines L M)) (convergent_lines L N)) (convergent_lines M N) →
% 6.42/6.61 between_on_line M (intersection_point M (parallel_through_point N A))
% 6.42/6.61 (intersection_point M (parallel_through_point N B)) (intersection_point M (parallel_through_point N C)))
% 6.42/6.61 False
% 6.42/6.61 Clause #245 (by clausification #[244]): ∀ (a : Iota),
% 6.42/6.61 Eq
% 6.42/6.61 (Not
% 6.42/6.61 (∀ (M N A B C : Iota),
% 6.42/6.61 And
% 6.42/6.61 (And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) M))
% 6.42/6.61 (convergent_lines (skS.0 0 a) N))
% 6.42/6.61 (convergent_lines M N) →
% 6.42/6.61 between_on_line M (intersection_point M (parallel_through_point N A))
% 6.42/6.61 (intersection_point M (parallel_through_point N B)) (intersection_point M (parallel_through_point N C))))
% 6.42/6.61 True
% 6.42/6.61 Clause #246 (by clausification #[245]): ∀ (a : Iota),
% 6.42/6.61 Eq
% 6.42/6.61 (∀ (M N A B C : Iota),
% 6.42/6.61 And
% 6.42/6.61 (And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) M))
% 6.42/6.61 (convergent_lines (skS.0 0 a) N))
% 6.42/6.61 (convergent_lines M N) →
% 6.42/6.61 between_on_line M (intersection_point M (parallel_through_point N A))
% 6.42/6.61 (intersection_point M (parallel_through_point N B)) (intersection_point M (parallel_through_point N C)))
% 6.42/6.61 False
% 6.42/6.61 Clause #247 (by clausification #[246]): ∀ (a a_1 : Iota),
% 6.42/6.61 Eq
% 6.42/6.61 (Not
% 6.42/6.61 (∀ (N A B C : Iota),
% 6.42/6.61 And
% 6.42/6.61 (And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.61 (convergent_lines (skS.0 0 a) N))
% 6.42/6.61 (convergent_lines (skS.0 1 a a_1) N) →
% 6.42/6.61 between_on_line (skS.0 1 a a_1) (intersection_point (skS.0 1 a a_1) (parallel_through_point N A))
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point N B))
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point N C))))
% 6.42/6.61 True
% 6.42/6.61 Clause #248 (by clausification #[247]): ∀ (a a_1 : Iota),
% 6.42/6.61 Eq
% 6.42/6.61 (∀ (N A B C : Iota),
% 6.42/6.61 And
% 6.42/6.61 (And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.61 (convergent_lines (skS.0 0 a) N))
% 6.42/6.61 (convergent_lines (skS.0 1 a a_1) N) →
% 6.42/6.61 between_on_line (skS.0 1 a a_1) (intersection_point (skS.0 1 a a_1) (parallel_through_point N A))
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point N B))
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point N C)))
% 6.42/6.61 False
% 6.42/6.61 Clause #249 (by clausification #[248]): ∀ (a a_1 a_2 : Iota),
% 6.42/6.61 Eq
% 6.42/6.61 (Not
% 6.42/6.61 (∀ (A B C : Iota),
% 6.42/6.61 And
% 6.42/6.61 (And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.61 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.61 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 6.42/6.61 between_on_line (skS.0 1 a a_1)
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) A))
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) B))
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) C))))
% 6.42/6.61 True
% 6.42/6.61 Clause #250 (by clausification #[249]): ∀ (a a_1 a_2 : Iota),
% 6.42/6.61 Eq
% 6.42/6.61 (∀ (A B C : Iota),
% 6.42/6.61 And
% 6.42/6.61 (And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.61 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.61 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 6.42/6.61 between_on_line (skS.0 1 a a_1)
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) A))
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) B))
% 6.42/6.61 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) C)))
% 6.42/6.64 False
% 6.42/6.64 Clause #251 (by clausification #[250]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.42/6.64 Eq
% 6.42/6.64 (Not
% 6.42/6.64 (∀ (B C : Iota),
% 6.42/6.64 And
% 6.42/6.64 (And
% 6.42/6.64 (And (between_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) B C)
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.64 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 6.42/6.64 between_on_line (skS.0 1 a a_1)
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) B))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) C))))
% 6.42/6.64 True
% 6.42/6.64 Clause #252 (by clausification #[251]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.42/6.64 Eq
% 6.42/6.64 (∀ (B C : Iota),
% 6.42/6.64 And
% 6.42/6.64 (And
% 6.42/6.64 (And (between_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) B C)
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.64 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 6.42/6.64 between_on_line (skS.0 1 a a_1)
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) B))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) C)))
% 6.42/6.64 False
% 6.42/6.64 Clause #253 (by clausification #[252]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.42/6.64 Eq
% 6.42/6.64 (Not
% 6.42/6.64 (∀ (C : Iota),
% 6.42/6.64 And
% 6.42/6.64 (And
% 6.42/6.64 (And (between_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4) C)
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.64 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 6.42/6.64 between_on_line (skS.0 1 a a_1)
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1)
% 6.42/6.64 (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) C))))
% 6.42/6.64 True
% 6.42/6.64 Clause #254 (by clausification #[253]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.42/6.64 Eq
% 6.42/6.64 (∀ (C : Iota),
% 6.42/6.64 And
% 6.42/6.64 (And
% 6.42/6.64 (And (between_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4) C)
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.64 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 6.42/6.64 between_on_line (skS.0 1 a a_1)
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) C)))
% 6.42/6.64 False
% 6.42/6.64 Clause #255 (by clausification #[254]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.42/6.64 Eq
% 6.42/6.64 (Not
% 6.42/6.64 (And
% 6.42/6.64 (And
% 6.42/6.64 (And
% 6.42/6.64 (between_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)
% 6.42/6.64 (skS.0 5 a a_1 a_2 a_3 a_4 a_5))
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.64 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.64 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 6.42/6.64 between_on_line (skS.0 1 a a_1)
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.42/6.64 (intersection_point (skS.0 1 a a_1)
% 6.42/6.64 (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))))
% 6.42/6.64 True
% 6.42/6.64 Clause #256 (by clausification #[255]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.42/6.66 Eq
% 6.42/6.66 (And
% 6.42/6.66 (And
% 6.42/6.66 (And
% 6.42/6.66 (between_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)
% 6.42/6.66 (skS.0 5 a a_1 a_2 a_3 a_4 a_5))
% 6.42/6.66 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.66 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.66 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 6.42/6.66 between_on_line (skS.0 1 a a_1)
% 6.42/6.66 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 6.42/6.66 (intersection_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 6.42/6.66 (intersection_point (skS.0 1 a a_1)
% 6.42/6.66 (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3 a_4 a_5))))
% 6.42/6.66 False
% 6.42/6.66 Clause #257 (by clausification #[256]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.42/6.66 Eq
% 6.42/6.66 (And
% 6.42/6.66 (And
% 6.42/6.66 (And
% 6.42/6.66 (between_on_line (skS.0 0 a) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)
% 6.42/6.66 (skS.0 5 a a_1 a_2 a_3 a_4 a_5))
% 6.42/6.66 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 6.42/6.66 (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 6.42/6.66 (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 6.42/6.66 True
% 6.42/6.66 Clause #259 (by clausification #[257]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 6.42/6.66 Clause #261 (by superposition #[259, 155]): ∀ (a a_1 a_2 : Iota),
% 6.42/6.66 Or (Eq True False) (Eq (unequally_directed_lines (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) True)
% 6.42/6.66 Clause #262 (by superposition #[259, 156]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (unequally_directed_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True)
% 6.42/6.66 Clause #265 (by clausification #[262]): ∀ (a a_1 a_2 : Iota), Eq (unequally_directed_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 6.42/6.66 Clause #267 (by superposition #[265, 103]): ∀ (a a_1 a_2 : Iota),
% 6.42/6.66 Or (Eq True False)
% 6.42/6.66 (Or (Eq (unequally_directed_lines (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) False)
% 6.42/6.66 (Eq (left_convergent_lines (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) True))
% 6.42/6.66 Clause #273 (by clausification #[261]): ∀ (a a_1 a_2 : Iota), Eq (unequally_directed_lines (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) True
% 6.42/6.66 Clause #397 (by clausification #[267]): ∀ (a a_1 a_2 : Iota),
% 6.42/6.66 Or (Eq (unequally_directed_lines (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) False)
% 6.42/6.66 (Eq (left_convergent_lines (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) True)
% 6.42/6.66 Clause #398 (by forward demodulation #[397, 273]): ∀ (a a_1 a_2 : Iota),
% 6.42/6.66 Or (Eq True False) (Eq (left_convergent_lines (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) True)
% 6.42/6.66 Clause #399 (by clausification #[398]): ∀ (a a_1 a_2 : Iota), Eq (left_convergent_lines (skS.0 1 a a_1) (reverse_line (skS.0 2 a a_1 a_2))) True
% 6.42/6.66 Clause #400 (by superposition #[399, 78]): Eq True False
% 6.42/6.66 Clause #401 (by clausification #[400]): False
% 6.42/6.66 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------