TSTP Solution File: GEO232+3 by Duper---1.0
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% File : Duper---1.0
% Problem : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 5.11s 5.34s
% Output : Proof 5.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.16 % Command : duper %s
% 0.15/0.38 % Computer : n021.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Aug 29 20:18:45 EDT 2023
% 0.15/0.38 % CPUTime :
% 5.11/5.34 SZS status Theorem for theBenchmark.p
% 5.11/5.34 SZS output start Proof for theBenchmark.p
% 5.11/5.34 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (unequally_directed_opposite_lines X Y) (unequally_directed_lines X (reverse_line Y))) True
% 5.11/5.34 Clause #3 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (equally_directed_lines X Y) (Not (unequally_directed_lines X Y))) True
% 5.11/5.34 Clause #14 (by assumption #[]): Eq (∀ (L : Iota), equally_directed_lines L L) True
% 5.11/5.34 Clause #15 (by assumption #[]): Eq (∀ (L M N : Iota), unequally_directed_lines L M → Or (unequally_directed_lines L N) (unequally_directed_lines M N))
% 5.11/5.34 True
% 5.11/5.34 Clause #17 (by assumption #[]): Eq (∀ (L M : Iota), Or (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M))) True
% 5.11/5.34 Clause #36 (by assumption #[]): Eq (Not (∀ (L : Iota), unequally_directed_opposite_lines L L)) True
% 5.11/5.34 Clause #37 (by clausification #[14]): ∀ (a : Iota), Eq (equally_directed_lines a a) True
% 5.11/5.34 Clause #40 (by clausification #[36]): Eq (∀ (L : Iota), unequally_directed_opposite_lines L L) False
% 5.11/5.34 Clause #41 (by clausification #[40]): ∀ (a : Iota), Eq (Not (unequally_directed_opposite_lines (skS.0 0 a) (skS.0 0 a))) True
% 5.11/5.34 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (unequally_directed_opposite_lines (skS.0 0 a) (skS.0 0 a)) False
% 5.11/5.34 Clause #47 (by clausification #[0]): ∀ (a : Iota),
% 5.11/5.34 Eq (∀ (Y : Iota), Iff (unequally_directed_opposite_lines a Y) (unequally_directed_lines a (reverse_line Y))) True
% 5.11/5.34 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 5.11/5.34 Eq (Iff (unequally_directed_opposite_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True
% 5.11/5.34 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota),
% 5.11/5.34 Or (Eq (unequally_directed_opposite_lines a a_1) True) (Eq (unequally_directed_lines a (reverse_line a_1)) False)
% 5.11/5.34 Clause #89 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (equally_directed_lines a Y) (Not (unequally_directed_lines a Y))) True
% 5.11/5.34 Clause #90 (by clausification #[89]): ∀ (a a_1 : Iota), Eq (Iff (equally_directed_lines a a_1) (Not (unequally_directed_lines a a_1))) True
% 5.11/5.34 Clause #92 (by clausification #[90]): ∀ (a a_1 : Iota), Or (Eq (equally_directed_lines a a_1) False) (Eq (Not (unequally_directed_lines a a_1)) True)
% 5.11/5.34 Clause #94 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (equally_directed_lines a a_1) False) (Eq (unequally_directed_lines a a_1) False)
% 5.11/5.34 Clause #96 (by superposition #[94, 37]): ∀ (a : Iota), Or (Eq (unequally_directed_lines a a) False) (Eq False True)
% 5.11/5.34 Clause #98 (by clausification #[96]): ∀ (a : Iota), Eq (unequally_directed_lines a a) False
% 5.11/5.34 Clause #107 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (M : Iota), Or (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M))) True
% 5.11/5.34 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True
% 5.11/5.34 Clause #109 (by clausification #[108]): ∀ (a a_1 : Iota),
% 5.11/5.34 Or (Eq (unequally_directed_lines a a_1) True) (Eq (unequally_directed_lines a (reverse_line a_1)) True)
% 5.11/5.34 Clause #113 (by superposition #[109, 98]): ∀ (a : Iota), Or (Eq (unequally_directed_lines (reverse_line a) a) True) (Eq True False)
% 5.11/5.34 Clause #114 (by clausification #[113]): ∀ (a : Iota), Eq (unequally_directed_lines (reverse_line a) a) True
% 5.11/5.34 Clause #190 (by clausification #[15]): ∀ (a : Iota),
% 5.11/5.34 Eq (∀ (M N : Iota), unequally_directed_lines a M → Or (unequally_directed_lines a N) (unequally_directed_lines M N))
% 5.11/5.34 True
% 5.11/5.34 Clause #191 (by clausification #[190]): ∀ (a a_1 : Iota),
% 5.11/5.34 Eq (∀ (N : Iota), unequally_directed_lines a a_1 → Or (unequally_directed_lines a N) (unequally_directed_lines a_1 N))
% 5.11/5.34 True
% 5.11/5.34 Clause #192 (by clausification #[191]): ∀ (a a_1 a_2 : Iota),
% 5.11/5.34 Eq (unequally_directed_lines a a_1 → Or (unequally_directed_lines a a_2) (unequally_directed_lines a_1 a_2)) True
% 5.11/5.34 Clause #193 (by clausification #[192]): ∀ (a a_1 a_2 : Iota),
% 5.11/5.34 Or (Eq (unequally_directed_lines a a_1) False)
% 5.11/5.34 (Eq (Or (unequally_directed_lines a a_2) (unequally_directed_lines a_1 a_2)) True)
% 5.11/5.34 Clause #194 (by clausification #[193]): ∀ (a a_1 a_2 : Iota),
% 5.11/5.34 Or (Eq (unequally_directed_lines a a_1) False)
% 5.11/5.34 (Or (Eq (unequally_directed_lines a a_2) True) (Eq (unequally_directed_lines a_1 a_2) True))
% 5.11/5.34 Clause #196 (by superposition #[194, 114]): ∀ (a a_1 : Iota),
% 5.11/5.34 Or (Eq (unequally_directed_lines (reverse_line a) a_1) True)
% 5.11/5.34 (Or (Eq (unequally_directed_lines a a_1) True) (Eq False True))
% 5.11/5.34 Clause #198 (by clausification #[196]): ∀ (a a_1 : Iota),
% 5.11/5.34 Or (Eq (unequally_directed_lines (reverse_line a) a_1) True) (Eq (unequally_directed_lines a a_1) True)
% 5.11/5.34 Clause #201 (by superposition #[198, 98]): ∀ (a : Iota), Or (Eq (unequally_directed_lines a (reverse_line a)) True) (Eq True False)
% 5.11/5.34 Clause #204 (by clausification #[201]): ∀ (a : Iota), Eq (unequally_directed_lines a (reverse_line a)) True
% 5.11/5.34 Clause #205 (by superposition #[204, 49]): ∀ (a : Iota), Or (Eq (unequally_directed_opposite_lines a a) True) (Eq True False)
% 5.11/5.34 Clause #214 (by clausification #[205]): ∀ (a : Iota), Eq (unequally_directed_opposite_lines a a) True
% 5.11/5.34 Clause #215 (by superposition #[214, 42]): Eq True False
% 5.11/5.34 Clause #217 (by clausification #[215]): False
% 5.11/5.34 SZS output end Proof for theBenchmark.p
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