TSTP Solution File: GEO217+2 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 22:55:43 EDT 2023
% Result : Theorem 4.47s 4.68s
% Output : Proof 4.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % Command : duper %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 22:45:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.47/4.68 SZS status Theorem for theBenchmark.p
% 4.47/4.68 SZS output start Proof for theBenchmark.p
% 4.47/4.68 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True
% 4.47/4.68 Clause #5 (by assumption #[]): Eq (∀ (X Y Z : Iota), convergent_lines X Y → Or (convergent_lines X Z) (convergent_lines Y Z)) True
% 4.47/4.68 Clause #15 (by assumption #[]): Eq (Not (∀ (L M N : Iota), And (Not (convergent_lines L M)) (Not (convergent_lines L N)) → Not (convergent_lines M N)))
% 4.47/4.68 True
% 4.47/4.68 Clause #16 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True
% 4.47/4.68 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (convergent_lines a a) False
% 4.47/4.68 Clause #38 (by clausification #[15]): Eq (∀ (L M N : Iota), And (Not (convergent_lines L M)) (Not (convergent_lines L N)) → Not (convergent_lines M N)) False
% 4.47/4.68 Clause #39 (by clausification #[38]): ∀ (a : Iota),
% 4.47/4.68 Eq
% 4.47/4.68 (Not
% 4.47/4.68 (∀ (M N : Iota),
% 4.47/4.68 And (Not (convergent_lines (skS.0 0 a) M)) (Not (convergent_lines (skS.0 0 a) N)) → Not (convergent_lines M N)))
% 4.47/4.68 True
% 4.47/4.68 Clause #40 (by clausification #[39]): ∀ (a : Iota),
% 4.47/4.68 Eq
% 4.47/4.68 (∀ (M N : Iota),
% 4.47/4.68 And (Not (convergent_lines (skS.0 0 a) M)) (Not (convergent_lines (skS.0 0 a) N)) → Not (convergent_lines M N))
% 4.47/4.68 False
% 4.47/4.68 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 4.47/4.68 Eq
% 4.47/4.68 (Not
% 4.47/4.68 (∀ (N : Iota),
% 4.47/4.68 And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) N)) →
% 4.47/4.68 Not (convergent_lines (skS.0 1 a a_1) N)))
% 4.47/4.68 True
% 4.47/4.68 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 4.47/4.68 Eq
% 4.47/4.68 (∀ (N : Iota),
% 4.47/4.68 And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) N)) →
% 4.47/4.68 Not (convergent_lines (skS.0 1 a a_1) N))
% 4.47/4.68 False
% 4.47/4.68 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 4.47/4.68 Eq
% 4.47/4.68 (Not
% 4.47/4.68 (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.47/4.68 (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) →
% 4.47/4.68 Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 4.47/4.68 True
% 4.47/4.68 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 4.47/4.68 Eq
% 4.47/4.68 (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) →
% 4.47/4.68 Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.47/4.68 False
% 4.47/4.68 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota),
% 4.47/4.68 Eq (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 4.47/4.68 True
% 4.47/4.68 Clause #46 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Eq (Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) False
% 4.47/4.68 Clause #47 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), Eq (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) True
% 4.47/4.68 Clause #48 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) True
% 4.47/4.68 Clause #49 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) False
% 4.47/4.68 Clause #57 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), convergent_lines a Y → Or (convergent_lines a Z) (convergent_lines Y Z)) True
% 4.47/4.68 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), convergent_lines a a_1 → Or (convergent_lines a Z) (convergent_lines a_1 Z)) True
% 4.47/4.68 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines a a_1 → Or (convergent_lines a a_2) (convergent_lines a_1 a_2)) True
% 4.47/4.68 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota),
% 4.47/4.68 Or (Eq (convergent_lines a a_1) False) (Eq (Or (convergent_lines a a_2) (convergent_lines a_1 a_2)) True)
% 4.47/4.68 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota),
% 4.47/4.68 Or (Eq (convergent_lines a a_1) False) (Or (Eq (convergent_lines a a_2) True) (Eq (convergent_lines a_1 a_2) True))
% 4.47/4.68 Clause #113 (by clausification #[48]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) False
% 4.47/4.68 Clause #118 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 4.47/4.68 Clause #122 (by superposition #[118, 61]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.47/4.69 Or (Eq True False)
% 4.47/4.69 (Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_2) True))
% 4.47/4.69 Clause #140 (by clausification #[122]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.47/4.69 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_2) True)
% 4.47/4.69 Clause #145 (by superposition #[140, 61]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.47/4.69 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True)
% 4.47/4.69 (Or (Eq True False) (Or (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_4) True) (Eq (convergent_lines a_2 a_4) True)))
% 4.47/4.69 Clause #206 (by clausification #[145]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.47/4.69 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True)
% 4.47/4.69 (Or (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_4) True) (Eq (convergent_lines a_2 a_4) True))
% 4.47/4.69 Clause #216 (by superposition #[206, 17]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.47/4.69 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True)
% 4.47/4.69 (Or (Eq (convergent_lines a_2 (skS.0 2 a a_1 a_3)) True) (Eq True False))
% 4.47/4.69 Clause #237 (by clausification #[216]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.47/4.69 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines a_2 (skS.0 2 a a_1 a_3)) True)
% 4.47/4.69 Clause #238 (by superposition #[237, 49]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines (skS.0 1 a a_1) (skS.0 0 a)) True) (Eq True False)
% 4.47/4.69 Clause #247 (by clausification #[238]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 0 a)) True
% 4.47/4.69 Clause #251 (by superposition #[247, 61]): ∀ (a a_1 a_2 : Iota),
% 4.47/4.69 Or (Eq True False) (Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 0 a) a_2) True))
% 4.47/4.69 Clause #265 (by clausification #[251]): ∀ (a a_1 a_2 : Iota), Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True) (Eq (convergent_lines (skS.0 0 a) a_2) True)
% 4.47/4.69 Clause #266 (by superposition #[265, 17]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 4.47/4.69 Clause #275 (by clausification #[266]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.47/4.69 Clause #276 (by superposition #[275, 113]): Eq True False
% 4.47/4.69 Clause #285 (by clausification #[276]): False
% 4.47/4.69 SZS output end Proof for theBenchmark.p
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