TSTP Solution File: GEO220+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 22:55:44 EDT 2023
% Result : Theorem 4.46s 4.71s
% Output : Proof 4.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n005.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 21:58:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.46/4.71 SZS status Theorem for theBenchmark.p
% 4.46/4.71 SZS output start Proof for theBenchmark.p
% 4.46/4.71 Clause #16 (by assumption #[]): Eq (∀ (L M N : Iota), And (Not (unorthogonal_lines L M)) (Not (unorthogonal_lines L N)) → Not (convergent_lines M N))
% 4.46/4.71 True
% 4.46/4.71 Clause #17 (by assumption #[]): Eq
% 4.46/4.71 (Not
% 4.46/4.71 (∀ (L M N : Iota), And (Not (unorthogonal_lines L M)) (Not (unorthogonal_lines L N)) → Not (convergent_lines M N)))
% 4.46/4.71 True
% 4.46/4.71 Clause #24 (by clausification #[16]): ∀ (a : Iota),
% 4.46/4.71 Eq (∀ (M N : Iota), And (Not (unorthogonal_lines a M)) (Not (unorthogonal_lines a N)) → Not (convergent_lines M N))
% 4.46/4.71 True
% 4.46/4.71 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota),
% 4.46/4.71 Eq (∀ (N : Iota), And (Not (unorthogonal_lines a a_1)) (Not (unorthogonal_lines a N)) → Not (convergent_lines a_1 N))
% 4.46/4.71 True
% 4.46/4.71 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Eq (And (Not (unorthogonal_lines a a_1)) (Not (unorthogonal_lines a a_2)) → Not (convergent_lines a_1 a_2)) True
% 4.46/4.71 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Or (Eq (And (Not (unorthogonal_lines a a_1)) (Not (unorthogonal_lines a a_2))) False)
% 4.46/4.71 (Eq (Not (convergent_lines a_1 a_2)) True)
% 4.46/4.71 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Or (Eq (Not (convergent_lines a a_1)) True)
% 4.46/4.71 (Or (Eq (Not (unorthogonal_lines a_2 a)) False) (Eq (Not (unorthogonal_lines a_2 a_1)) False))
% 4.46/4.71 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Or (Eq (Not (unorthogonal_lines a a_1)) False)
% 4.46/4.71 (Or (Eq (Not (unorthogonal_lines a a_2)) False) (Eq (convergent_lines a_1 a_2) False))
% 4.46/4.71 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Or (Eq (Not (unorthogonal_lines a a_1)) False)
% 4.46/4.71 (Or (Eq (convergent_lines a_2 a_1) False) (Eq (unorthogonal_lines a a_2) True))
% 4.46/4.71 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Or (Eq (convergent_lines a a_1) False)
% 4.46/4.71 (Or (Eq (unorthogonal_lines a_2 a) True) (Eq (unorthogonal_lines a_2 a_1) True))
% 4.46/4.71 Clause #32 (by clausification #[17]): Eq (∀ (L M N : Iota), And (Not (unorthogonal_lines L M)) (Not (unorthogonal_lines L N)) → Not (convergent_lines M N))
% 4.46/4.71 False
% 4.46/4.71 Clause #33 (by clausification #[32]): ∀ (a : Iota),
% 4.46/4.71 Eq
% 4.46/4.71 (Not
% 4.46/4.71 (∀ (M N : Iota),
% 4.46/4.71 And (Not (unorthogonal_lines (skS.0 0 a) M)) (Not (unorthogonal_lines (skS.0 0 a) N)) →
% 4.46/4.71 Not (convergent_lines M N)))
% 4.46/4.71 True
% 4.46/4.71 Clause #34 (by clausification #[33]): ∀ (a : Iota),
% 4.46/4.71 Eq
% 4.46/4.71 (∀ (M N : Iota),
% 4.46/4.71 And (Not (unorthogonal_lines (skS.0 0 a) M)) (Not (unorthogonal_lines (skS.0 0 a) N)) →
% 4.46/4.71 Not (convergent_lines M N))
% 4.46/4.71 False
% 4.46/4.71 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 4.46/4.71 Eq
% 4.46/4.71 (Not
% 4.46/4.71 (∀ (N : Iota),
% 4.46/4.71 And (Not (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (unorthogonal_lines (skS.0 0 a) N)) →
% 4.46/4.71 Not (convergent_lines (skS.0 1 a a_1) N)))
% 4.46/4.71 True
% 4.46/4.71 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 4.46/4.71 Eq
% 4.46/4.71 (∀ (N : Iota),
% 4.46/4.71 And (Not (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (unorthogonal_lines (skS.0 0 a) N)) →
% 4.46/4.71 Not (convergent_lines (skS.0 1 a a_1) N))
% 4.46/4.71 False
% 4.46/4.71 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Eq
% 4.46/4.71 (Not
% 4.46/4.71 (And (Not (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.46/4.71 (Not (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) →
% 4.46/4.71 Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 4.46/4.71 True
% 4.46/4.71 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Eq
% 4.46/4.71 (And (Not (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.46/4.71 (Not (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) →
% 4.46/4.71 Not (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 4.46/4.71 False
% 4.46/4.71 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.71 Eq
% 4.46/4.71 (And (Not (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 4.46/4.71 (Not (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 4.46/4.71 True
% 4.46/4.71 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
% 4.46/4.71 Clause #41 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (Not (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) True
% 4.46/4.72 Clause #42 (by clausification #[39]): ∀ (a a_1 : Iota), Eq (Not (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1))) True
% 4.46/4.72 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) False
% 4.46/4.72 Clause #120 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1)) False
% 4.46/4.72 Clause #140 (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
% 4.46/4.72 Clause #141 (by superposition #[140, 31]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.72 Or (Eq True False)
% 4.46/4.72 (Or (Eq (unorthogonal_lines a (skS.0 1 a_1 a_2)) True) (Eq (unorthogonal_lines a (skS.0 2 a_1 a_2 a_3)) True))
% 4.46/4.72 Clause #302 (by clausification #[141]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.72 Or (Eq (unorthogonal_lines a (skS.0 1 a_1 a_2)) True) (Eq (unorthogonal_lines a (skS.0 2 a_1 a_2 a_3)) True)
% 4.46/4.72 Clause #303 (by superposition #[302, 43]): ∀ (a a_1 : Iota), Or (Eq (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 4.46/4.72 Clause #304 (by clausification #[303]): ∀ (a a_1 : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.46/4.72 Clause #305 (by superposition #[304, 120]): Eq True False
% 4.46/4.72 Clause #306 (by clausification #[305]): False
% 4.46/4.72 SZS output end Proof for theBenchmark.p
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