TSTP Solution File: GEO233+3 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO233+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n028.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 22:55:49 EDT 2023
% Result : Theorem 27.31s 27.61s
% Output : Proof 27.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO233+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : duper %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 19:35:11 EDT 2023
% 0.10/0.31 % CPUTime :
% 27.31/27.61 SZS status Theorem for theBenchmark.p
% 27.31/27.61 SZS output start Proof for theBenchmark.p
% 27.31/27.61 Clause #3 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (equally_directed_lines X Y) (Not (unequally_directed_lines X Y))) True
% 27.31/27.61 Clause #14 (by assumption #[]): Eq (∀ (L : Iota), equally_directed_lines L L) True
% 27.31/27.61 Clause #17 (by assumption #[]): Eq (∀ (L M : Iota), Or (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M))) True
% 27.31/27.61 Clause #18 (by assumption #[]): Eq
% 27.31/27.61 (∀ (L M : Iota),
% 27.31/27.61 And (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M)) →
% 27.31/27.61 Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))
% 27.31/27.61 True
% 27.31/27.61 Clause #20 (by assumption #[]): Eq (∀ (L M : Iota), Not (Or (left_convergent_lines L M) (left_convergent_lines L (reverse_line M)))) True
% 27.31/27.61 Clause #36 (by assumption #[]): Eq (Not (∀ (L : Iota), equally_directed_lines (reverse_line (reverse_line L)) L)) True
% 27.31/27.61 Clause #37 (by clausification #[14]): ∀ (a : Iota), Eq (equally_directed_lines a a) True
% 27.31/27.61 Clause #54 (by clausification #[36]): Eq (∀ (L : Iota), equally_directed_lines (reverse_line (reverse_line L)) L) False
% 27.31/27.61 Clause #55 (by clausification #[54]): ∀ (a : Iota), Eq (Not (equally_directed_lines (reverse_line (reverse_line (skS.0 0 a))) (skS.0 0 a))) True
% 27.31/27.61 Clause #56 (by clausification #[55]): ∀ (a : Iota), Eq (equally_directed_lines (reverse_line (reverse_line (skS.0 0 a))) (skS.0 0 a)) False
% 27.31/27.61 Clause #77 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (M : Iota), Or (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M))) True
% 27.31/27.61 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True
% 27.31/27.61 Clause #79 (by clausification #[78]): ∀ (a a_1 : Iota),
% 27.31/27.61 Or (Eq (unequally_directed_lines a a_1) True) (Eq (unequally_directed_lines a (reverse_line a_1)) True)
% 27.31/27.61 Clause #96 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (equally_directed_lines a Y) (Not (unequally_directed_lines a Y))) True
% 27.31/27.61 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota), Eq (Iff (equally_directed_lines a a_1) (Not (unequally_directed_lines a a_1))) True
% 27.31/27.61 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota), Or (Eq (equally_directed_lines a a_1) True) (Eq (Not (unequally_directed_lines a a_1)) False)
% 27.31/27.61 Clause #99 (by clausification #[97]): ∀ (a a_1 : Iota), Or (Eq (equally_directed_lines a a_1) False) (Eq (Not (unequally_directed_lines a a_1)) True)
% 27.31/27.61 Clause #100 (by clausification #[98]): ∀ (a a_1 : Iota), Or (Eq (equally_directed_lines a a_1) True) (Eq (unequally_directed_lines a a_1) True)
% 27.31/27.61 Clause #101 (by superposition #[100, 56]): ∀ (a : Iota),
% 27.31/27.61 Or (Eq (unequally_directed_lines (reverse_line (reverse_line (skS.0 0 a))) (skS.0 0 a)) True) (Eq True False)
% 27.31/27.61 Clause #102 (by clausification #[99]): ∀ (a a_1 : Iota), Or (Eq (equally_directed_lines a a_1) False) (Eq (unequally_directed_lines a a_1) False)
% 27.31/27.61 Clause #104 (by superposition #[102, 37]): ∀ (a : Iota), Or (Eq (unequally_directed_lines a a) False) (Eq False True)
% 27.31/27.61 Clause #106 (by clausification #[104]): ∀ (a : Iota), Eq (unequally_directed_lines a a) False
% 27.31/27.61 Clause #107 (by superposition #[106, 79]): ∀ (a : Iota), Or (Eq (unequally_directed_lines (reverse_line a) a) True) (Eq False True)
% 27.31/27.61 Clause #108 (by clausification #[107]): ∀ (a : Iota), Eq (unequally_directed_lines (reverse_line a) a) True
% 27.31/27.61 Clause #200 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))) True
% 27.31/27.61 Clause #201 (by clausification #[200]): ∀ (a a_1 : Iota), Eq (Not (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))) True
% 27.31/27.61 Clause #202 (by clausification #[201]): ∀ (a a_1 : Iota), Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) False
% 27.31/27.61 Clause #204 (by clausification #[202]): ∀ (a a_1 : Iota), Eq (left_convergent_lines a a_1) False
% 27.31/27.61 Clause #229 (by clausification #[18]): ∀ (a : Iota),
% 27.31/27.61 Eq
% 27.31/27.61 (∀ (M : Iota),
% 27.31/27.61 And (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M)) →
% 27.40/27.65 Or (left_convergent_lines a M) (left_convergent_lines a (reverse_line M)))
% 27.40/27.65 True
% 27.40/27.65 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota),
% 27.40/27.65 Eq
% 27.40/27.65 (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1)) →
% 27.40/27.65 Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1)))
% 27.40/27.65 True
% 27.40/27.65 Clause #231 (by clausification #[230]): ∀ (a a_1 : Iota),
% 27.40/27.65 Or (Eq (And (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) False)
% 27.40/27.65 (Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) True)
% 27.40/27.65 Clause #232 (by clausification #[231]): ∀ (a a_1 : Iota),
% 27.40/27.65 Or (Eq (Or (left_convergent_lines a a_1) (left_convergent_lines a (reverse_line a_1))) True)
% 27.40/27.65 (Or (Eq (unequally_directed_lines a a_1) False) (Eq (unequally_directed_lines a (reverse_line a_1)) False))
% 27.40/27.65 Clause #233 (by clausification #[232]): ∀ (a a_1 : Iota),
% 27.40/27.65 Or (Eq (unequally_directed_lines a a_1) False)
% 27.40/27.65 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 27.40/27.65 (Or (Eq (left_convergent_lines a a_1) True) (Eq (left_convergent_lines a (reverse_line a_1)) True)))
% 27.40/27.65 Clause #234 (by forward demodulation #[233, 204]): ∀ (a a_1 : Iota),
% 27.40/27.65 Or (Eq (unequally_directed_lines a a_1) False)
% 27.40/27.65 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 27.40/27.65 (Or (Eq False True) (Eq (left_convergent_lines a (reverse_line a_1)) True)))
% 27.40/27.65 Clause #235 (by clausification #[234]): ∀ (a a_1 : Iota),
% 27.40/27.65 Or (Eq (unequally_directed_lines a a_1) False)
% 27.40/27.65 (Or (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 27.40/27.65 (Eq (left_convergent_lines a (reverse_line a_1)) True))
% 27.40/27.65 Clause #400 (by clausification #[101]): ∀ (a : Iota), Eq (unequally_directed_lines (reverse_line (reverse_line (skS.0 0 a))) (skS.0 0 a)) True
% 27.40/27.65 Clause #403 (by superposition #[400, 235]): ∀ (a : Iota),
% 27.40/27.65 Or (Eq True False)
% 27.40/27.65 (Or (Eq (unequally_directed_lines (reverse_line (reverse_line (skS.0 0 a))) (reverse_line (skS.0 0 a))) False)
% 27.40/27.65 (Eq (left_convergent_lines (reverse_line (reverse_line (skS.0 0 a))) (reverse_line (skS.0 0 a))) True))
% 27.40/27.65 Clause #5999 (by clausification #[403]): ∀ (a : Iota),
% 27.40/27.65 Or (Eq (unequally_directed_lines (reverse_line (reverse_line (skS.0 0 a))) (reverse_line (skS.0 0 a))) False)
% 27.40/27.65 (Eq (left_convergent_lines (reverse_line (reverse_line (skS.0 0 a))) (reverse_line (skS.0 0 a))) True)
% 27.40/27.65 Clause #6000 (by forward demodulation #[5999, 108]): ∀ (a : Iota),
% 27.40/27.65 Or (Eq True False)
% 27.40/27.65 (Eq (left_convergent_lines (reverse_line (reverse_line (skS.0 0 a))) (reverse_line (skS.0 0 a))) True)
% 27.40/27.65 Clause #6001 (by clausification #[6000]): ∀ (a : Iota), Eq (left_convergent_lines (reverse_line (reverse_line (skS.0 0 a))) (reverse_line (skS.0 0 a))) True
% 27.40/27.65 Clause #6002 (by superposition #[6001, 204]): Eq True False
% 27.40/27.65 Clause #6003 (by clausification #[6002]): False
% 27.40/27.65 SZS output end Proof for theBenchmark.p
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