TSTP Solution File: SET063+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SET063+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 14:45:24 EDT 2023
% Result : Theorem 3.69s 3.89s
% Output : Proof 3.69s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET063+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.09 % Command : duper %s
% 0.07/0.28 % Computer : n032.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.28 % WCLimit : 300
% 0.07/0.28 % DateTime : Sat Aug 26 08:57:29 EDT 2023
% 0.07/0.28 % CPUTime :
% 3.69/3.89 SZS status Theorem for theBenchmark.p
% 3.69/3.89 SZS output start Proof for theBenchmark.p
% 3.69/3.89 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (subclass X Y) (∀ (U : Iota), member U X → member U Y)) True
% 3.69/3.89 Clause #2 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (Eq X Y) (And (subclass X Y) (subclass Y X))) True
% 3.69/3.89 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Not (member X null_class)) True
% 3.69/3.89 Clause #43 (by assumption #[]): Eq (Not (∀ (X : Iota), subclass X null_class → Eq X null_class)) True
% 3.69/3.89 Clause #45 (by clausification #[15]): ∀ (a : Iota), Eq (Not (member a null_class)) True
% 3.69/3.89 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (member a null_class) False
% 3.69/3.89 Clause #49 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (subclass a Y) (∀ (U : Iota), member U a → member U Y)) True
% 3.69/3.89 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
% 3.69/3.89 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)
% 3.69/3.89 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.89 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)
% 3.69/3.89 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.89 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)
% 3.69/3.89 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)
% 3.69/3.89 Clause #57 (by superposition #[55, 46]): ∀ (a : Iota), Or (Eq (subclass null_class a) True) (Eq True False)
% 3.69/3.89 Clause #59 (by clausification #[57]): ∀ (a : Iota), Eq (subclass null_class a) True
% 3.69/3.89 Clause #67 (by clausification #[43]): Eq (∀ (X : Iota), subclass X null_class → Eq X null_class) False
% 3.69/3.89 Clause #68 (by clausification #[67]): ∀ (a : Iota), Eq (Not (subclass (skS.0 1 a) null_class → Eq (skS.0 1 a) null_class)) True
% 3.69/3.89 Clause #69 (by clausification #[68]): ∀ (a : Iota), Eq (subclass (skS.0 1 a) null_class → Eq (skS.0 1 a) null_class) False
% 3.69/3.89 Clause #70 (by clausification #[69]): ∀ (a : Iota), Eq (subclass (skS.0 1 a) null_class) True
% 3.69/3.89 Clause #71 (by clausification #[69]): ∀ (a : Iota), Eq (Eq (skS.0 1 a) null_class) False
% 3.69/3.89 Clause #75 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (Eq a Y) (And (subclass a Y) (subclass Y a))) True
% 3.69/3.89 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Eq (Iff (Eq a a_1) (And (subclass a a_1) (subclass a_1 a))) True
% 3.69/3.89 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Or (Eq (Eq a a_1) True) (Eq (And (subclass a a_1) (subclass a_1 a)) False)
% 3.69/3.89 Clause #79 (by clausification #[77]): ∀ (a a_1 : Iota), Or (Eq (And (subclass a a_1) (subclass a_1 a)) False) (Eq a a_1)
% 3.69/3.89 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), Or (Eq a a_1) (Or (Eq (subclass a a_1) False) (Eq (subclass a_1 a) False))
% 3.69/3.89 Clause #85 (by superposition #[80, 59]): ∀ (a : Iota), Or (Eq null_class a) (Or (Eq (subclass a null_class) False) (Eq False True))
% 3.69/3.89 Clause #86 (by clausification #[85]): ∀ (a : Iota), Or (Eq null_class a) (Eq (subclass a null_class) False)
% 3.69/3.89 Clause #87 (by superposition #[86, 70]): ∀ (a : Iota), Or (Eq null_class (skS.0 1 a)) (Eq False True)
% 3.69/3.89 Clause #93 (by clausification #[87]): ∀ (a : Iota), Eq null_class (skS.0 1 a)
% 3.69/3.89 Clause #299 (by clausification #[71]): ∀ (a : Iota), Ne (skS.0 1 a) null_class
% 3.69/3.89 Clause #300 (by forward demodulation #[299, 93]): Ne null_class null_class
% 3.69/3.89 Clause #301 (by eliminate resolved literals #[300]): False
% 3.69/3.89 SZS output end Proof for theBenchmark.p
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