TSTP Solution File: GEO261+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO261+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 22:55:59 EDT 2023
% Result : Theorem 4.17s 4.44s
% Output : Proof 4.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO261+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n012.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 21:58:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.17/4.44 SZS status Theorem for theBenchmark.p
% 4.17/4.44 SZS output start Proof for theBenchmark.p
% 4.17/4.44 Clause #1 (by assumption #[]): Eq
% 4.17/4.44 (∀ (L M : Iota),
% 4.17/4.44 Iff (convergent_lines L M) (And (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M))))
% 4.17/4.44 True
% 4.17/4.44 Clause #13 (by assumption #[]): Eq
% 4.17/4.44 (∀ (L M : Iota),
% 4.17/4.44 And (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M)) →
% 4.17/4.44 Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))
% 4.17/4.44 True
% 4.17/4.44 Clause #15 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True
% 4.17/4.44 Clause #31 (by assumption #[]): Eq
% 4.17/4.44 (Not
% 4.17/4.44 (∀ (L M A B C : Iota),
% 4.17/4.44 And (And (between_on_line L A B C) (convergent_lines L M)) (Not (apart_point_and_line B M)) →
% 4.17/4.44 divides_points M A C))
% 4.17/4.44 True
% 4.17/4.44 Clause #66 (by clausification #[1]): ∀ (a : Iota),
% 4.17/4.44 Eq
% 4.17/4.44 (∀ (M : Iota),
% 4.17/4.44 Iff (convergent_lines a M) (And (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M))))
% 4.17/4.44 True
% 4.17/4.44 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota),
% 4.17/4.44 Eq
% 4.17/4.44 (Iff (convergent_lines a a_1)
% 4.17/4.44 (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))))
% 4.17/4.44 True
% 4.17/4.44 Clause #69 (by clausification #[67]): ∀ (a a_1 : Iota),
% 4.17/4.44 Or (Eq (convergent_lines a a_1) False)
% 4.17/4.44 (Eq (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True)
% 4.17/4.44 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
% 4.17/4.44 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
% 4.17/4.44 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
% 4.17/4.44 Clause #78 (by clausification #[76]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a a_1) False
% 4.17/4.44 Clause #97 (by clausification #[13]): ∀ (a : Iota),
% 4.17/4.44 Eq
% 4.17/4.44 (∀ (M : Iota),
% 4.17/4.44 And (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M)) →
% 4.17/4.44 Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))
% 4.17/4.44 True
% 4.17/4.44 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota),
% 4.17/4.44 Eq
% 4.17/4.44 (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1)) →
% 4.17/4.44 Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))
% 4.17/4.44 True
% 4.17/4.44 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota),
% 4.17/4.44 Or (Eq (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) False)
% 4.17/4.44 (Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) True)
% 4.17/4.44 Clause #100 (by clausification #[99]): ∀ (a a_1 : Iota),
% 4.17/4.44 Or (Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) True)
% 4.17/4.44 (Or (Eq (unequally_directed_lines a a_1) False) (Eq (unequally_directed_lines a (reverse_line a_1)) False))
% 4.17/4.44 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota),
% 4.17/4.44 Or (Eq (unequally_directed_lines a a_1) False)
% 4.17/4.44 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 4.17/4.44 (Or (Eq (left_convergent_lines a a_1) True) (Eq (left_convergent_lines a (reverse_line a_1)) True)))
% 4.17/4.44 Clause #102 (by forward demodulation #[101, 78]): ∀ (a a_1 : Iota),
% 4.17/4.44 Or (Eq (unequally_directed_lines a a_1) False)
% 4.17/4.44 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 4.17/4.44 (Or (Eq False True) (Eq (left_convergent_lines a (reverse_line a_1)) True)))
% 4.17/4.44 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota),
% 4.17/4.44 Or (Eq (unequally_directed_lines a a_1) False)
% 4.17/4.44 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 4.17/4.44 (Eq (left_convergent_lines a (reverse_line a_1)) True))
% 4.17/4.44 Clause #140 (by clausification #[31]): Eq
% 4.17/4.44 (∀ (L M A B C : Iota),
% 4.17/4.44 And (And (between_on_line L A B C) (convergent_lines L M)) (Not (apart_point_and_line B M)) → divides_points M A C)
% 4.17/4.44 False
% 4.17/4.44 Clause #141 (by clausification #[140]): ∀ (a : Iota),
% 4.17/4.44 Eq
% 4.17/4.44 (Not
% 4.17/4.47 (∀ (M A B C : Iota),
% 4.17/4.47 And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) M))
% 4.17/4.47 (Not (apart_point_and_line B M)) →
% 4.17/4.47 divides_points M A C))
% 4.17/4.47 True
% 4.17/4.47 Clause #142 (by clausification #[141]): ∀ (a : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (∀ (M A B C : Iota),
% 4.17/4.47 And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) M)) (Not (apart_point_and_line B M)) →
% 4.17/4.47 divides_points M A C)
% 4.17/4.47 False
% 4.17/4.47 Clause #143 (by clausification #[142]): ∀ (a a_1 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (Not
% 4.17/4.47 (∀ (A B C : Iota),
% 4.17/4.47 And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line B (skS.0 1 a a_1))) →
% 4.17/4.47 divides_points (skS.0 1 a a_1) A C))
% 4.17/4.47 True
% 4.17/4.47 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (∀ (A B C : Iota),
% 4.17/4.47 And (And (between_on_line (skS.0 0 a) A B C) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line B (skS.0 1 a a_1))) →
% 4.17/4.47 divides_points (skS.0 1 a a_1) A C)
% 4.17/4.47 False
% 4.17/4.47 Clause #145 (by clausification #[144]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (Not
% 4.17/4.47 (∀ (B C : Iota),
% 4.17/4.47 And (And (between_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) B C) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line B (skS.0 1 a a_1))) →
% 4.17/4.47 divides_points (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) C))
% 4.17/4.47 True
% 4.17/4.47 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (∀ (B C : Iota),
% 4.17/4.47 And (And (between_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) B C) (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line B (skS.0 1 a a_1))) →
% 4.17/4.47 divides_points (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) C)
% 4.17/4.47 False
% 4.17/4.47 Clause #147 (by clausification #[146]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (Not
% 4.17/4.47 (∀ (C : Iota),
% 4.17/4.47 And
% 4.17/4.47 (And (between_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) C)
% 4.17/4.47 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1))) →
% 4.17/4.47 divides_points (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) C))
% 4.17/4.47 True
% 4.17/4.47 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (∀ (C : Iota),
% 4.17/4.47 And
% 4.17/4.47 (And (between_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) C)
% 4.17/4.47 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1))) →
% 4.17/4.47 divides_points (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) C)
% 4.17/4.47 False
% 4.17/4.47 Clause #149 (by clausification #[148]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (Not
% 4.17/4.47 (And
% 4.17/4.47 (And (between_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4))
% 4.17/4.47 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1))) →
% 4.17/4.47 divides_points (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 4.17/4.47 True
% 4.17/4.47 Clause #150 (by clausification #[149]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (And
% 4.17/4.47 (And (between_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4))
% 4.17/4.47 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1))) →
% 4.17/4.47 divides_points (skS.0 1 a a_1) (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4))
% 4.17/4.47 False
% 4.17/4.47 Clause #151 (by clausification #[150]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (And
% 4.17/4.47 (And (between_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4))
% 4.17/4.47 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.47 (Not (apart_point_and_line (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1))))
% 4.17/4.47 True
% 4.17/4.47 Clause #154 (by clausification #[151]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.17/4.47 Eq
% 4.17/4.47 (And (between_on_line (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4))
% 4.17/4.47 (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.17/4.48 True
% 4.17/4.48 Clause #180 (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)
% 4.17/4.48 Clause #181 (by clausification #[69]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) False) (Eq (unequally_directed_lines a a_1) True)
% 4.17/4.48 Clause #283 (by clausification #[154]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.17/4.48 Clause #285 (by superposition #[283, 180]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) True)
% 4.17/4.48 Clause #286 (by superposition #[283, 181]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)) True)
% 4.17/4.48 Clause #287 (by clausification #[286]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.17/4.48 Clause #289 (by superposition #[287, 103]): ∀ (a a_1 : Iota),
% 4.17/4.48 Or (Eq True False)
% 4.17/4.48 (Or (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) False)
% 4.17/4.48 (Eq (left_convergent_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) True))
% 4.17/4.48 Clause #295 (by clausification #[285]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) True
% 4.17/4.48 Clause #404 (by clausification #[289]): ∀ (a a_1 : Iota),
% 4.17/4.48 Or (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) False)
% 4.17/4.48 (Eq (left_convergent_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) True)
% 4.17/4.48 Clause #405 (by forward demodulation #[404, 295]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (left_convergent_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) True)
% 4.17/4.48 Clause #406 (by clausification #[405]): ∀ (a a_1 : Iota), Eq (left_convergent_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) True
% 4.17/4.48 Clause #407 (by superposition #[406, 78]): Eq True False
% 4.17/4.48 Clause #408 (by clausification #[407]): False
% 4.17/4.48 SZS output end Proof for theBenchmark.p
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