TSTP Solution File: SET064+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 : Thu Aug 31 14:45:25 EDT 2023
% Result : Theorem 6.06s 6.24s
% Output : Proof 6.06s
% 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 : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.10/0.14 % Command : duper %s
% 0.12/0.35 % Computer : n017.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sat Aug 26 11:58:26 EDT 2023
% 0.12/0.35 % CPUTime :
% 6.06/6.24 SZS status Theorem for theBenchmark.p
% 6.06/6.24 SZS output start Proof for theBenchmark.p
% 6.06/6.24 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (subclass X Y) (∀ (U : Iota), member U X → member U Y)) True
% 6.06/6.24 Clause #2 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (Eq X Y) (And (subclass X Y) (subclass Y X))) True
% 6.06/6.24 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Not (member X null_class)) True
% 6.06/6.24 Clause #43 (by assumption #[]): Eq (Not (∀ (Z : Iota), Or (Eq Z null_class) (Exists fun Y => member Y Z))) True
% 6.06/6.24 Clause #45 (by clausification #[15]): ∀ (a : Iota), Eq (Not (member a null_class)) True
% 6.06/6.24 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (member a null_class) False
% 6.06/6.24 Clause #49 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (subclass a Y) (∀ (U : Iota), member U a → member U Y)) True
% 6.06/6.24 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Eq (Iff (subclass a a_1) (∀ (U : Iota), member U a → member U a_1)) True
% 6.06/6.24 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Or (Eq (subclass a a_1) True) (Eq (∀ (U : Iota), member U a → member U a_1) False)
% 6.06/6.24 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 : Iota),
% 6.06/6.24 Or (Eq (subclass a a_1) True) (Eq (Not (member (skS.0 0 a a_1 a_2) a → member (skS.0 0 a a_1 a_2) a_1)) True)
% 6.06/6.24 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 : Iota),
% 6.06/6.24 Or (Eq (subclass a a_1) True) (Eq (member (skS.0 0 a a_1 a_2) a → member (skS.0 0 a a_1 a_2) a_1) False)
% 6.06/6.24 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota), Or (Eq (subclass a a_1) True) (Eq (member (skS.0 0 a a_1 a_2) a) True)
% 6.06/6.24 Clause #57 (by superposition #[55, 46]): ∀ (a : Iota), Or (Eq (subclass null_class a) True) (Eq True False)
% 6.06/6.24 Clause #59 (by clausification #[57]): ∀ (a : Iota), Eq (subclass null_class a) True
% 6.06/6.24 Clause #72 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (Eq a Y) (And (subclass a Y) (subclass Y a))) True
% 6.06/6.24 Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota), Eq (Iff (Eq a a_1) (And (subclass a a_1) (subclass a_1 a))) True
% 6.06/6.24 Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota), Or (Eq (Eq a a_1) True) (Eq (And (subclass a a_1) (subclass a_1 a)) False)
% 6.06/6.24 Clause #76 (by clausification #[74]): ∀ (a a_1 : Iota), Or (Eq (And (subclass a a_1) (subclass a_1 a)) False) (Eq a a_1)
% 6.06/6.24 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Or (Eq a a_1) (Or (Eq (subclass a a_1) False) (Eq (subclass a_1 a) False))
% 6.06/6.24 Clause #81 (by superposition #[77, 59]): ∀ (a : Iota), Or (Eq null_class a) (Or (Eq (subclass a null_class) False) (Eq False True))
% 6.06/6.24 Clause #82 (by clausification #[81]): ∀ (a : Iota), Or (Eq null_class a) (Eq (subclass a null_class) False)
% 6.06/6.24 Clause #1374 (by clausification #[43]): Eq (∀ (Z : Iota), Or (Eq Z null_class) (Exists fun Y => member Y Z)) False
% 6.06/6.24 Clause #1375 (by clausification #[1374]): ∀ (a : Iota), Eq (Not (Or (Eq (skS.0 5 a) null_class) (Exists fun Y => member Y (skS.0 5 a)))) True
% 6.06/6.24 Clause #1376 (by clausification #[1375]): ∀ (a : Iota), Eq (Or (Eq (skS.0 5 a) null_class) (Exists fun Y => member Y (skS.0 5 a))) False
% 6.06/6.24 Clause #1377 (by clausification #[1376]): ∀ (a : Iota), Eq (Exists fun Y => member Y (skS.0 5 a)) False
% 6.06/6.24 Clause #1378 (by clausification #[1376]): ∀ (a : Iota), Eq (Eq (skS.0 5 a) null_class) False
% 6.06/6.24 Clause #1379 (by clausification #[1377]): ∀ (a a_1 : Iota), Eq (member a (skS.0 5 a_1)) False
% 6.06/6.24 Clause #1380 (by superposition #[1379, 55]): ∀ (a a_1 : Iota), Or (Eq (subclass (skS.0 5 a) a_1) True) (Eq False True)
% 6.06/6.24 Clause #1382 (by clausification #[1378]): ∀ (a : Iota), Ne (skS.0 5 a) null_class
% 6.06/6.24 Clause #1383 (by clausification #[1380]): ∀ (a a_1 : Iota), Eq (subclass (skS.0 5 a) a_1) True
% 6.06/6.24 Clause #1384 (by superposition #[1383, 82]): ∀ (a : Iota), Or (Eq null_class (skS.0 5 a)) (Eq True False)
% 6.06/6.24 Clause #1388 (by clausification #[1384]): ∀ (a : Iota), Eq null_class (skS.0 5 a)
% 6.06/6.24 Clause #1389 (by forward contextual literal cutting #[1388, 1382]): False
% 6.06/6.24 SZS output end Proof for theBenchmark.p
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