TSTP Solution File: GEO217+1 by Duper---1.0
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% File : Duper---1.0
% Problem : GEO217+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 22:55:42 EDT 2023
% Result : Theorem 5.23s 5.41s
% Output : Proof 5.23s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO217+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14 % Command : duper %s
% 0.11/0.34 % Computer : n024.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Aug 29 19:39:38 EDT 2023
% 0.11/0.34 % CPUTime :
% 5.23/5.41 SZS status Theorem for theBenchmark.p
% 5.23/5.41 SZS output start Proof for theBenchmark.p
% 5.23/5.41 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True
% 5.23/5.41 Clause #5 (by assumption #[]): Eq (∀ (X Y Z : Iota), convergent_lines X Y → Or (convergent_lines X Z) (convergent_lines Y Z)) True
% 5.23/5.41 Clause #17 (by assumption #[]): Eq (Not (∀ (L M N : Iota), And (Not (convergent_lines L M)) (Not (convergent_lines L N)) → Not (convergent_lines M N)))
% 5.23/5.41 True
% 5.23/5.41 Clause #18 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True
% 5.23/5.41 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq (convergent_lines a a) False
% 5.23/5.41 Clause #32 (by clausification #[17]): Eq (∀ (L M N : Iota), And (Not (convergent_lines L M)) (Not (convergent_lines L N)) → Not (convergent_lines M N)) False
% 5.23/5.41 Clause #33 (by clausification #[32]): ∀ (a : Iota),
% 5.23/5.41 Eq
% 5.23/5.41 (Not
% 5.23/5.41 (∀ (M N : Iota),
% 5.23/5.41 And (Not (convergent_lines (skS.0 0 a) M)) (Not (convergent_lines (skS.0 0 a) N)) → Not (convergent_lines M N)))
% 5.23/5.41 True
% 5.23/5.41 Clause #34 (by clausification #[33]): ∀ (a : Iota),
% 5.23/5.41 Eq
% 5.23/5.41 (∀ (M N : Iota),
% 5.23/5.41 And (Not (convergent_lines (skS.0 0 a) M)) (Not (convergent_lines (skS.0 0 a) N)) → Not (convergent_lines M N))
% 5.23/5.41 False
% 5.23/5.41 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 5.23/5.41 Eq
% 5.23/5.41 (Not
% 5.23/5.41 (∀ (N : Iota),
% 5.23/5.41 And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) N)) →
% 5.23/5.41 Not (convergent_lines (skS.0 1 a a_1) N)))
% 5.23/5.41 True
% 5.23/5.41 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 5.23/5.41 Eq
% 5.23/5.41 (∀ (N : Iota),
% 5.23/5.41 And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (convergent_lines (skS.0 0 a) N)) →
% 5.23/5.41 Not (convergent_lines (skS.0 1 a a_1) N))
% 5.23/5.41 False
% 5.23/5.41 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 5.23/5.41 Eq
% 5.23/5.41 (Not
% 5.23/5.41 (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 5.23/5.41 (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) →
% 5.23/5.41 Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 5.23/5.41 True
% 5.23/5.41 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 5.23/5.41 Eq
% 5.23/5.41 (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))) →
% 5.23/5.41 Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 5.23/5.41 False
% 5.23/5.41 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 5.23/5.41 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))))
% 5.23/5.41 True
% 5.23/5.41 Clause #40 (by clausification #[38]): ∀ (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
% 5.23/5.41 Clause #41 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (Not (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) True
% 5.23/5.41 Clause #42 (by clausification #[39]): ∀ (a a_1 : Iota), Eq (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) True
% 5.23/5.41 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) False
% 5.23/5.41 Clause #80 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), convergent_lines a Y → Or (convergent_lines a Z) (convergent_lines Y Z)) True
% 5.23/5.41 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), convergent_lines a a_1 → Or (convergent_lines a Z) (convergent_lines a_1 Z)) True
% 5.23/5.41 Clause #82 (by clausification #[81]): ∀ (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
% 5.23/5.41 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 : Iota),
% 5.23/5.41 Or (Eq (convergent_lines a a_1) False) (Eq (Or (convergent_lines a a_2) (convergent_lines a_1 a_2)) True)
% 5.23/5.41 Clause #84 (by clausification #[83]): ∀ (a a_1 a_2 : Iota),
% 5.23/5.41 Or (Eq (convergent_lines a a_1) False) (Or (Eq (convergent_lines a a_2) True) (Eq (convergent_lines a_1 a_2) True))
% 5.23/5.41 Clause #119 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) False
% 5.23/5.41 Clause #124 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 5.23/5.41 Clause #129 (by superposition #[124, 84]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.23/5.43 Or (Eq True False)
% 5.23/5.43 (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))
% 5.23/5.43 Clause #144 (by clausification #[129]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.23/5.43 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)
% 5.23/5.43 Clause #150 (by superposition #[144, 84]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.23/5.43 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True)
% 5.23/5.43 (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)))
% 5.23/5.43 Clause #170 (by clausification #[150]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.23/5.43 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True)
% 5.23/5.43 (Or (Eq (convergent_lines (skS.0 2 a a_1 a_3) a_4) True) (Eq (convergent_lines a_2 a_4) True))
% 5.23/5.43 Clause #180 (by superposition #[170, 19]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.23/5.43 Or (Eq (convergent_lines (skS.0 1 a a_1) a_2) True)
% 5.23/5.43 (Or (Eq (convergent_lines a_2 (skS.0 2 a a_1 a_3)) True) (Eq True False))
% 5.23/5.43 Clause #201 (by clausification #[180]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.23/5.43 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)
% 5.23/5.43 Clause #202 (by superposition #[201, 43]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines (skS.0 1 a a_1) (skS.0 0 a)) True) (Eq True False)
% 5.23/5.43 Clause #211 (by clausification #[202]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 0 a)) True
% 5.23/5.43 Clause #216 (by superposition #[211, 84]): ∀ (a a_1 a_2 : Iota),
% 5.23/5.43 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))
% 5.23/5.43 Clause #236 (by clausification #[216]): ∀ (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)
% 5.23/5.43 Clause #237 (by superposition #[236, 19]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 5.23/5.43 Clause #251 (by clausification #[237]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 5.23/5.43 Clause #252 (by superposition #[251, 119]): Eq True False
% 5.23/5.43 Clause #261 (by clausification #[252]): False
% 5.23/5.43 SZS output end Proof for theBenchmark.p
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