TSTP Solution File: GEO208+2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO208+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 22:55:38 EDT 2023
% Result : Theorem 3.84s 4.04s
% Output : Proof 3.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO208+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:37:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.84/4.04 SZS status Theorem for theBenchmark.p
% 3.84/4.04 SZS output start Proof for theBenchmark.p
% 3.84/4.04 Clause #14 (by assumption #[]): Eq
% 3.84/4.04 (∀ (X Y Z : Iota),
% 3.84/4.04 distinct_lines Y Z → Or (Or (apart_point_and_line X Y) (apart_point_and_line X Z)) (convergent_lines Y Z))
% 3.84/4.04 True
% 3.84/4.04 Clause #15 (by assumption #[]): Eq
% 3.84/4.04 (Not
% 3.84/4.04 (∀ (X Y Z : Iota),
% 3.84/4.04 And (And (Not (apart_point_and_line X Y)) (Not (apart_point_and_line X Z))) (Not (convergent_lines Y Z)) →
% 3.84/4.04 Not (distinct_lines Y Z)))
% 3.84/4.04 True
% 3.84/4.04 Clause #36 (by clausification #[15]): Eq
% 3.84/4.04 (∀ (X Y Z : Iota),
% 3.84/4.04 And (And (Not (apart_point_and_line X Y)) (Not (apart_point_and_line X Z))) (Not (convergent_lines Y Z)) →
% 3.84/4.04 Not (distinct_lines Y Z))
% 3.84/4.04 False
% 3.84/4.04 Clause #37 (by clausification #[36]): ∀ (a : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (Not
% 3.84/4.04 (∀ (Y Z : Iota),
% 3.84/4.04 And (And (Not (apart_point_and_line (skS.0 0 a) Y)) (Not (apart_point_and_line (skS.0 0 a) Z)))
% 3.84/4.04 (Not (convergent_lines Y Z)) →
% 3.84/4.04 Not (distinct_lines Y Z)))
% 3.84/4.04 True
% 3.84/4.04 Clause #38 (by clausification #[37]): ∀ (a : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (∀ (Y Z : Iota),
% 3.84/4.04 And (And (Not (apart_point_and_line (skS.0 0 a) Y)) (Not (apart_point_and_line (skS.0 0 a) Z)))
% 3.84/4.04 (Not (convergent_lines Y Z)) →
% 3.84/4.04 Not (distinct_lines Y Z))
% 3.84/4.04 False
% 3.84/4.04 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (Not
% 3.84/4.04 (∀ (Z : Iota),
% 3.84/4.04 And (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1))) (Not (apart_point_and_line (skS.0 0 a) Z)))
% 3.84/4.04 (Not (convergent_lines (skS.0 1 a a_1) Z)) →
% 3.84/4.04 Not (distinct_lines (skS.0 1 a a_1) Z)))
% 3.84/4.04 True
% 3.84/4.04 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (∀ (Z : Iota),
% 3.84/4.04 And (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1))) (Not (apart_point_and_line (skS.0 0 a) Z)))
% 3.84/4.04 (Not (convergent_lines (skS.0 1 a a_1) Z)) →
% 3.84/4.04 Not (distinct_lines (skS.0 1 a a_1) Z))
% 3.84/4.04 False
% 3.84/4.04 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (Not
% 3.84/4.04 (And
% 3.84/4.04 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)))
% 3.84/4.04 (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 3.84/4.04 (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) →
% 3.84/4.04 Not (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 3.84/4.04 True
% 3.84/4.04 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (And
% 3.84/4.04 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)))
% 3.84/4.04 (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 3.84/4.04 (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) →
% 3.84/4.04 Not (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.84/4.04 False
% 3.84/4.04 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (And
% 3.84/4.04 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)))
% 3.84/4.04 (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 3.84/4.04 (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 3.84/4.04 True
% 3.84/4.04 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), Eq (Not (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) False
% 3.84/4.04 Clause #45 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), Eq (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True
% 3.84/4.04 Clause #46 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (And (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)))
% 3.84/4.04 (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 3.84/4.04 True
% 3.84/4.04 Clause #47 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False
% 3.84/4.04 Clause #82 (by clausification #[14]): ∀ (a : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (∀ (Y Z : Iota),
% 3.84/4.04 distinct_lines Y Z → Or (Or (apart_point_and_line a Y) (apart_point_and_line a Z)) (convergent_lines Y Z))
% 3.84/4.04 True
% 3.84/4.04 Clause #83 (by clausification #[82]): ∀ (a a_1 : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (∀ (Z : Iota),
% 3.84/4.04 distinct_lines a Z → Or (Or (apart_point_and_line a_1 a) (apart_point_and_line a_1 Z)) (convergent_lines a Z))
% 3.84/4.04 True
% 3.84/4.04 Clause #84 (by clausification #[83]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.04 Eq
% 3.84/4.04 (distinct_lines a a_1 →
% 3.84/4.04 Or (Or (apart_point_and_line a_2 a) (apart_point_and_line a_2 a_1)) (convergent_lines a a_1))
% 3.84/4.05 True
% 3.84/4.05 Clause #85 (by clausification #[84]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.05 Or (Eq (distinct_lines a a_1) False)
% 3.84/4.05 (Eq (Or (Or (apart_point_and_line a_2 a) (apart_point_and_line a_2 a_1)) (convergent_lines a a_1)) True)
% 3.84/4.05 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.05 Or (Eq (distinct_lines a a_1) False)
% 3.84/4.05 (Or (Eq (Or (apart_point_and_line a_2 a) (apart_point_and_line a_2 a_1)) True) (Eq (convergent_lines a a_1) True))
% 3.84/4.05 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.05 Or (Eq (distinct_lines a a_1) False)
% 3.84/4.05 (Or (Eq (convergent_lines a a_1) True)
% 3.84/4.05 (Or (Eq (apart_point_and_line a_2 a) True) (Eq (apart_point_and_line a_2 a_1) True)))
% 3.84/4.05 Clause #97 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Eq (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 3.84/4.05 Clause #99 (by superposition #[97, 87]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.05 Or (Eq True False)
% 3.84/4.05 (Or (Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True)
% 3.84/4.05 (Or (Eq (apart_point_and_line a_3 (skS.0 1 a a_1)) True)
% 3.84/4.05 (Eq (apart_point_and_line a_3 (skS.0 2 a a_1 a_2)) True)))
% 3.84/4.05 Clause #115 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), Eq (Not (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))) True
% 3.84/4.05 Clause #116 (by clausification #[46]): ∀ (a a_1 : Iota), Eq (Not (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.84/4.05 Clause #117 (by clausification #[115]): ∀ (a a_1 a_2 : Iota), Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) False
% 3.84/4.05 Clause #118 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)) False
% 3.84/4.05 Clause #140 (by clausification #[99]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.05 Or (Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True)
% 3.84/4.05 (Or (Eq (apart_point_and_line a_3 (skS.0 1 a a_1)) True) (Eq (apart_point_and_line a_3 (skS.0 2 a a_1 a_2)) True))
% 3.84/4.05 Clause #141 (by superposition #[140, 47]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.05 Or (Eq (apart_point_and_line a (skS.0 1 a_1 a_2)) True)
% 3.84/4.05 (Or (Eq (apart_point_and_line a (skS.0 2 a_1 a_2 a_3)) True) (Eq True False))
% 3.84/4.05 Clause #148 (by clausification #[141]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.05 Or (Eq (apart_point_and_line a (skS.0 1 a_1 a_2)) True) (Eq (apart_point_and_line a (skS.0 2 a_1 a_2 a_3)) True)
% 3.84/4.05 Clause #149 (by superposition #[148, 117]): ∀ (a a_1 : Iota), Or (Eq (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 3.84/4.05 Clause #152 (by clausification #[149]): ∀ (a a_1 : Iota), Eq (apart_point_and_line (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.84/4.05 Clause #153 (by superposition #[152, 118]): Eq True False
% 3.84/4.05 Clause #156 (by clausification #[153]): False
% 3.84/4.05 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------