TSTP Solution File: SEU576^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU576^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n028.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 16:42:48 EDT 2023
% Result : Theorem 3.62s 3.88s
% Output : Proof 3.62s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU576^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 01:32:19 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.62/3.88 SZS status Theorem for theBenchmark.p
% 3.62/3.88 SZS output start Proof for theBenchmark.p
% 3.62/3.88 Clause #0 (by assumption #[]): Eq (Eq powersetI (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A))) True
% 3.62/3.88 Clause #1 (by assumption #[]): Eq (Eq subsetE (∀ (A B Xx : Iota), subset A B → in Xx A → in Xx B)) True
% 3.62/3.88 Clause #2 (by assumption #[]): Eq (Not (powersetI → subsetE → ∀ (A B : Iota), subset B A → in B (powerset A))) True
% 3.62/3.88 Clause #3 (by clausification #[2]): Eq (powersetI → subsetE → ∀ (A B : Iota), subset B A → in B (powerset A)) False
% 3.62/3.88 Clause #4 (by clausification #[3]): Eq powersetI True
% 3.62/3.88 Clause #5 (by clausification #[3]): Eq (subsetE → ∀ (A B : Iota), subset B A → in B (powerset A)) False
% 3.62/3.88 Clause #6 (by clausification #[5]): Eq subsetE True
% 3.62/3.88 Clause #7 (by clausification #[5]): Eq (∀ (A B : Iota), subset B A → in B (powerset A)) False
% 3.62/3.88 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), subset B (skS.0 0 a) → in B (powerset (skS.0 0 a)))) True
% 3.62/3.88 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (B : Iota), subset B (skS.0 0 a) → in B (powerset (skS.0 0 a))) False
% 3.62/3.88 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Not (subset (skS.0 1 a a_1) (skS.0 0 a) → in (skS.0 1 a a_1) (powerset (skS.0 0 a)))) True
% 3.62/3.88 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (subset (skS.0 1 a a_1) (skS.0 0 a) → in (skS.0 1 a a_1) (powerset (skS.0 0 a))) False
% 3.62/3.88 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (subset (skS.0 1 a a_1) (skS.0 0 a)) True
% 3.62/3.88 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (in (skS.0 1 a a_1) (powerset (skS.0 0 a))) False
% 3.62/3.88 Clause #14 (by clausification #[0]): Eq powersetI (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A))
% 3.62/3.88 Clause #15 (by forward demodulation #[14, 4]): Eq True (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A))
% 3.62/3.88 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B : Iota), (∀ (Xx : Iota), in Xx B → in Xx a) → in B (powerset a)) True
% 3.62/3.88 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq ((∀ (Xx : Iota), in Xx a → in Xx a_1) → in a (powerset a_1)) True
% 3.62/3.88 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xx : Iota), in Xx a → in Xx a_1) False) (Eq (in a (powerset a_1)) True)
% 3.62/3.88 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.88 Or (Eq (in a (powerset a_1)) True) (Eq (Not (in (skS.0 2 a a_1 a_2) a → in (skS.0 2 a a_1 a_2) a_1)) True)
% 3.62/3.88 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 3.62/3.88 Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 2 a a_1 a_2) a → in (skS.0 2 a a_1 a_2) a_1) False)
% 3.62/3.88 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 2 a a_1 a_2) a) True)
% 3.62/3.88 Clause #22 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 2 a a_1 a_2) a_1) False)
% 3.62/3.88 Clause #23 (by clausification #[1]): Eq subsetE (∀ (A B Xx : Iota), subset A B → in Xx A → in Xx B)
% 3.62/3.88 Clause #24 (by forward demodulation #[23, 6]): Eq True (∀ (A B Xx : Iota), subset A B → in Xx A → in Xx B)
% 3.62/3.88 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), subset a B → in Xx a → in Xx B) True
% 3.62/3.88 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), subset a a_1 → in Xx a → in Xx a_1) True
% 3.62/3.88 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (subset a a_1 → in a_2 a → in a_2 a_1) True
% 3.62/3.88 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Eq (in a_2 a → in a_2 a_1) True)
% 3.62/3.88 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Or (Eq (in a_2 a) False) (Eq (in a_2 a_1) True))
% 3.62/3.88 Clause #30 (by superposition #[29, 12]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 1 a_1 a_2)) False) (Or (Eq (in a (skS.0 0 a_1)) True) (Eq False True))
% 3.62/3.88 Clause #34 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 1 a_1 a_2)) False) (Eq (in a (skS.0 0 a_1)) True)
% 3.62/3.89 Clause #35 (by superposition #[34, 21]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.62/3.89 Or (Eq (in (skS.0 2 (skS.0 1 a a_1) a_2 a_3) (skS.0 0 a)) True)
% 3.62/3.89 (Or (Eq (in (skS.0 1 a a_1) (powerset a_2)) True) (Eq False True))
% 3.62/3.89 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.62/3.89 Or (Eq (in (skS.0 2 (skS.0 1 a a_1) a_2 a_3) (skS.0 0 a)) True) (Eq (in (skS.0 1 a a_1) (powerset a_2)) True)
% 3.62/3.89 Clause #37 (by superposition #[36, 22]): ∀ (a a_1 : Iota),
% 3.62/3.89 Or (Eq (in (skS.0 1 a a_1) (powerset (skS.0 0 a))) True)
% 3.62/3.89 (Or (Eq (in (skS.0 1 a a_1) (powerset (skS.0 0 a))) True) (Eq True False))
% 3.62/3.89 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 3.62/3.89 Or (Eq (in (skS.0 1 a a_1) (powerset (skS.0 0 a))) True) (Eq (in (skS.0 1 a a_1) (powerset (skS.0 0 a))) True)
% 3.62/3.89 Clause #39 (by eliminate duplicate literals #[38]): ∀ (a a_1 : Iota), Eq (in (skS.0 1 a a_1) (powerset (skS.0 0 a))) True
% 3.62/3.89 Clause #40 (by superposition #[39, 13]): Eq True False
% 3.62/3.89 Clause #41 (by clausification #[40]): False
% 3.62/3.89 SZS output end Proof for theBenchmark.p
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