TSTP Solution File: SET590+3 by Duper---1.0
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% File : Duper---1.0
% Problem : SET590+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : Thu Aug 31 14:46:56 EDT 2023
% Result : Theorem 3.75s 3.91s
% Output : Proof 3.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET590+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : duper %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 09:38:12 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.75/3.91 SZS status Theorem for theBenchmark.p
% 3.75/3.91 SZS output start Proof for theBenchmark.p
% 3.75/3.91 Clause #0 (by assumption #[]): Eq (∀ (B C D : Iota), Iff (member D (difference B C)) (And (member D B) (Not (member D C)))) True
% 3.75/3.91 Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), Iff (subset B C) (∀ (D : Iota), member D B → member D C)) True
% 3.75/3.91 Clause #3 (by assumption #[]): Eq (Not (∀ (B C : Iota), subset (difference B C) B)) True
% 3.75/3.91 Clause #5 (by clausification #[3]): Eq (∀ (B C : Iota), subset (difference B C) B) False
% 3.75/3.91 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (Not (∀ (C : Iota), subset (difference (skS.0 0 a) C) (skS.0 0 a))) True
% 3.75/3.91 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (C : Iota), subset (difference (skS.0 0 a) C) (skS.0 0 a)) False
% 3.75/3.91 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (Not (subset (difference (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a))) True
% 3.75/3.91 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (subset (difference (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a)) False
% 3.75/3.91 Clause #10 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (subset a C) (∀ (D : Iota), member D a → member D C)) True
% 3.75/3.91 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (D : Iota), member D a → member D a_1)) True
% 3.75/3.91 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (D : Iota), member D a → member D a_1) False)
% 3.75/3.91 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.91 Or (Eq (subset a a_1) True) (Eq (Not (member (skS.0 2 a a_1 a_2) a → member (skS.0 2 a a_1 a_2) a_1)) True)
% 3.75/3.91 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.91 Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a → member (skS.0 2 a a_1 a_2) a_1) False)
% 3.75/3.91 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a) True)
% 3.75/3.91 Clause #17 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a_1) False)
% 3.75/3.91 Clause #22 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C D : Iota), Iff (member D (difference a C)) (And (member D a) (Not (member D C)))) True
% 3.75/3.91 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), Iff (member D (difference a a_1)) (And (member D a) (Not (member D a_1)))) True
% 3.75/3.91 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Eq (Iff (member a (difference a_1 a_2)) (And (member a a_1) (Not (member a a_2)))) True
% 3.75/3.91 Clause #26 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (difference a_1 a_2)) False) (Eq (And (member a a_1) (Not (member a a_2))) True)
% 3.75/3.91 Clause #31 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (difference a_1 a_2)) False) (Eq (member a a_1) True)
% 3.75/3.91 Clause #34 (by superposition #[31, 16]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.75/3.91 Or (Eq (member (skS.0 2 (difference a a_1) a_2 a_3) a) True)
% 3.75/3.91 (Or (Eq (subset (difference a a_1) a_2) True) (Eq False True))
% 3.75/3.91 Clause #43 (by clausification #[34]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.75/3.91 Or (Eq (member (skS.0 2 (difference a a_1) a_2 a_3) a) True) (Eq (subset (difference a a_1) a_2) True)
% 3.75/3.91 Clause #46 (by superposition #[43, 17]): ∀ (a a_1 : Iota),
% 3.75/3.91 Or (Eq (subset (difference a a_1) a) True) (Or (Eq (subset (difference a a_1) a) True) (Eq True False))
% 3.75/3.91 Clause #56 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (subset (difference a a_1) a) True) (Eq (subset (difference a a_1) a) True)
% 3.75/3.91 Clause #57 (by eliminate duplicate literals #[56]): ∀ (a a_1 : Iota), Eq (subset (difference a a_1) a) True
% 3.75/3.91 Clause #58 (by superposition #[57, 9]): Eq True False
% 3.75/3.91 Clause #60 (by clausification #[58]): False
% 3.75/3.91 SZS output end Proof for theBenchmark.p
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