TSTP Solution File: GEO232+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 9.14s 9.31s
% Output : Proof 9.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.08/0.18 % Command : duper %s
% 0.16/0.39 % Computer : n012.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Tue Aug 29 22:56:24 EDT 2023
% 0.16/0.39 % CPUTime :
% 9.14/9.31 SZS status Theorem for theBenchmark.p
% 9.14/9.31 SZS output start Proof for theBenchmark.p
% 9.14/9.31 Clause #9 (by assumption #[]): Eq (∀ (L : Iota), Not (unequally_directed_lines L L)) True
% 9.14/9.31 Clause #12 (by assumption #[]): Eq
% 9.14/9.31 (∀ (L M : Iota),
% 9.14/9.31 And (line L) (line M) → Or (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M)))
% 9.14/9.31 True
% 9.14/9.31 Clause #31 (by assumption #[]): Eq (Not (∀ (L : Iota), line L → unequally_directed_lines L (reverse_line L))) True
% 9.14/9.31 Clause #34 (by clausification #[9]): ∀ (a : Iota), Eq (Not (unequally_directed_lines a a)) True
% 9.14/9.31 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (unequally_directed_lines a a) False
% 9.14/9.31 Clause #52 (by clausification #[31]): Eq (∀ (L : Iota), line L → unequally_directed_lines L (reverse_line L)) False
% 9.14/9.31 Clause #53 (by clausification #[52]): ∀ (a : Iota), Eq (Not (line (skS.0 0 a) → unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a)))) True
% 9.14/9.31 Clause #54 (by clausification #[53]): ∀ (a : Iota), Eq (line (skS.0 0 a) → unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a))) False
% 9.14/9.31 Clause #55 (by clausification #[54]): ∀ (a : Iota), Eq (line (skS.0 0 a)) True
% 9.14/9.31 Clause #56 (by clausification #[54]): ∀ (a : Iota), Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a))) False
% 9.14/9.31 Clause #156 (by clausification #[12]): ∀ (a : Iota),
% 9.14/9.31 Eq
% 9.14/9.31 (∀ (M : Iota),
% 9.14/9.31 And (line a) (line M) → Or (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M)))
% 9.14/9.31 True
% 9.14/9.31 Clause #157 (by clausification #[156]): ∀ (a a_1 : Iota),
% 9.14/9.31 Eq (And (line a) (line a_1) → Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1)))
% 9.14/9.31 True
% 9.14/9.31 Clause #158 (by clausification #[157]): ∀ (a a_1 : Iota),
% 9.14/9.31 Or (Eq (And (line a) (line a_1)) False)
% 9.14/9.31 (Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True)
% 9.14/9.31 Clause #159 (by clausification #[158]): ∀ (a a_1 : Iota),
% 9.14/9.31 Or (Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True)
% 9.14/9.31 (Or (Eq (line a) False) (Eq (line a_1) False))
% 9.14/9.31 Clause #160 (by clausification #[159]): ∀ (a a_1 : Iota),
% 9.14/9.31 Or (Eq (line a) False)
% 9.14/9.31 (Or (Eq (line a_1) False)
% 9.14/9.31 (Or (Eq (unequally_directed_lines a a_1) True) (Eq (unequally_directed_lines a (reverse_line a_1)) True)))
% 9.14/9.31 Clause #161 (by superposition #[160, 55]): ∀ (a a_1 : Iota),
% 9.14/9.31 Or (Eq (line a) False)
% 9.14/9.31 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) a) True)
% 9.14/9.31 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) (reverse_line a)) True) (Eq False True)))
% 9.14/9.31 Clause #298 (by clausification #[161]): ∀ (a a_1 : Iota),
% 9.14/9.31 Or (Eq (line a) False)
% 9.14/9.31 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) a) True)
% 9.14/9.31 (Eq (unequally_directed_lines (skS.0 0 a_1) (reverse_line a)) True))
% 9.14/9.31 Clause #299 (by superposition #[298, 55]): ∀ (a a_1 : Iota),
% 9.14/9.31 Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 0 a_1)) True)
% 9.14/9.31 (Or (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a_1))) True) (Eq False True))
% 9.14/9.31 Clause #429 (by clausification #[299]): ∀ (a a_1 : Iota),
% 9.14/9.31 Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 0 a_1)) True)
% 9.14/9.31 (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 0 a_1))) True)
% 9.14/9.31 Clause #430 (by superposition #[429, 56]): ∀ (a : Iota), Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 0 a)) True) (Eq True False)
% 9.14/9.31 Clause #462 (by clausification #[430]): ∀ (a : Iota), Eq (unequally_directed_lines (skS.0 0 a) (skS.0 0 a)) True
% 9.14/9.31 Clause #463 (by superposition #[462, 35]): Eq True False
% 9.14/9.31 Clause #470 (by clausification #[463]): False
% 9.14/9.31 SZS output end Proof for theBenchmark.p
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