TSTP Solution File: SET062+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SET062+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 14:45:23 EDT 2023
% Result : Theorem 3.47s 3.67s
% Output : Proof 3.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET062+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:49:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.47/3.67 SZS status Theorem for theBenchmark.p
% 3.47/3.67 SZS output start Proof for theBenchmark.p
% 3.47/3.67 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (subclass X Y) (∀ (U : Iota), member U X → member U Y)) True
% 3.47/3.67 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Not (member X null_class)) True
% 3.47/3.67 Clause #43 (by assumption #[]): Eq (Not (∀ (X : Iota), subclass null_class X)) True
% 3.47/3.67 Clause #45 (by clausification #[43]): Eq (∀ (X : Iota), subclass null_class X) False
% 3.47/3.67 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (Not (subclass null_class (skS.0 0 a))) True
% 3.47/3.67 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (subclass null_class (skS.0 0 a)) False
% 3.47/3.67 Clause #48 (by clausification #[15]): ∀ (a : Iota), Eq (Not (member a null_class)) True
% 3.47/3.67 Clause #49 (by clausification #[48]): ∀ (a : Iota), Eq (member a null_class) False
% 3.47/3.67 Clause #50 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (subclass a Y) (∀ (U : Iota), member U a → member U Y)) True
% 3.47/3.67 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (Iff (subclass a a_1) (∀ (U : Iota), member U a → member U a_1)) True
% 3.47/3.67 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (subclass a a_1) True) (Eq (∀ (U : Iota), member U a → member U a_1) False)
% 3.47/3.67 Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 : Iota),
% 3.47/3.67 Or (Eq (subclass a a_1) True) (Eq (Not (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1)) True)
% 3.47/3.67 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 3.47/3.67 Or (Eq (subclass a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1) False)
% 3.47/3.67 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Or (Eq (subclass a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a) True)
% 3.47/3.67 Clause #58 (by superposition #[56, 49]): ∀ (a : Iota), Or (Eq (subclass null_class a) True) (Eq True False)
% 3.47/3.67 Clause #59 (by clausification #[58]): ∀ (a : Iota), Eq (subclass null_class a) True
% 3.47/3.67 Clause #60 (by superposition #[59, 47]): Eq True False
% 3.47/3.67 Clause #61 (by clausification #[60]): False
% 3.47/3.67 SZS output end Proof for theBenchmark.p
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