TSTP Solution File: SEU714^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU714^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 16:43:31 EDT 2023
% Result : Theorem 3.67s 3.84s
% Output : Proof 3.67s
% 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 : SEU714^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 15:21:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.67/3.84 SZS status Theorem for theBenchmark.p
% 3.67/3.84 SZS output start Proof for theBenchmark.p
% 3.67/3.84 Clause #0 (by assumption #[]): Eq (Eq powersetI (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A))) True
% 3.67/3.84 Clause #1 (by assumption #[]): Eq (Eq setminusEL (∀ (A B Xx : Iota), in Xx (setminus A B) → in Xx A)) True
% 3.67/3.84 Clause #2 (by assumption #[]): Eq (Not (powersetI → setminusEL → ∀ (A X : Iota), in X (powerset A) → in (setminus A X) (powerset A))) True
% 3.67/3.84 Clause #3 (by clausification #[1]): Eq setminusEL (∀ (A B Xx : Iota), in Xx (setminus A B) → in Xx A)
% 3.67/3.84 Clause #19 (by clausification #[0]): Eq powersetI (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A))
% 3.67/3.84 Clause #21 (by clausify Prop equality #[19]): Or (Eq powersetI False) (Eq (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A)) True)
% 3.67/3.84 Clause #23 (by clausification #[2]): Eq (powersetI → setminusEL → ∀ (A X : Iota), in X (powerset A) → in (setminus A X) (powerset A)) False
% 3.67/3.84 Clause #24 (by clausification #[23]): Eq powersetI True
% 3.67/3.84 Clause #25 (by clausification #[23]): Eq (setminusEL → ∀ (A X : Iota), in X (powerset A) → in (setminus A X) (powerset A)) False
% 3.67/3.84 Clause #43 (by clausification #[21]): ∀ (a : Iota), Or (Eq powersetI False) (Eq (∀ (B : Iota), (∀ (Xx : Iota), in Xx B → in Xx a) → in B (powerset a)) True)
% 3.67/3.84 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Or (Eq powersetI False) (Eq ((∀ (Xx : Iota), in Xx a → in Xx a_1) → in a (powerset a_1)) True)
% 3.67/3.84 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota),
% 3.67/3.84 Or (Eq powersetI False) (Or (Eq (∀ (Xx : Iota), in Xx a → in Xx a_1) False) (Eq (in a (powerset a_1)) True))
% 3.67/3.84 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 3.67/3.84 Or (Eq powersetI False)
% 3.67/3.84 (Or (Eq (in a (powerset a_1)) True) (Eq (Not (in (skS.0 6 a a_1 a_2) a → in (skS.0 6 a a_1 a_2) a_1)) True))
% 3.67/3.84 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 : Iota),
% 3.67/3.84 Or (Eq powersetI False)
% 3.67/3.84 (Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 6 a a_1 a_2) a → in (skS.0 6 a a_1 a_2) a_1) False))
% 3.67/3.84 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Eq powersetI False) (Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 6 a a_1 a_2) a) True))
% 3.67/3.84 Clause #49 (by clausification #[47]): ∀ (a a_1 a_2 : Iota),
% 3.67/3.84 Or (Eq powersetI False) (Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 6 a a_1 a_2) a_1) False))
% 3.67/3.84 Clause #50 (by forward demodulation #[48, 24]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 6 a a_1 a_2) a) True))
% 3.67/3.84 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 6 a a_1 a_2) a) True)
% 3.67/3.84 Clause #52 (by clausification #[25]): Eq setminusEL True
% 3.67/3.84 Clause #53 (by clausification #[25]): Eq (∀ (A X : Iota), in X (powerset A) → in (setminus A X) (powerset A)) False
% 3.67/3.84 Clause #54 (by backward demodulation #[52, 3]): Eq True (∀ (A B Xx : Iota), in Xx (setminus A B) → in Xx A)
% 3.67/3.84 Clause #57 (by clausification #[54]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (setminus a B) → in Xx a) True
% 3.67/3.84 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx (setminus a a_1) → in Xx a) True
% 3.67/3.84 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), Eq (in a (setminus a_1 a_2) → in a a_1) True
% 3.67/3.84 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setminus a_1 a_2)) False) (Eq (in a a_1) True)
% 3.67/3.84 Clause #62 (by superposition #[60, 51]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.84 Or (Eq (in (skS.0 6 (setminus a a_1) a_2 a_3) a) True)
% 3.67/3.84 (Or (Eq (in (setminus a a_1) (powerset a_2)) True) (Eq False True))
% 3.67/3.84 Clause #64 (by clausification #[53]): ∀ (a : Iota),
% 3.67/3.84 Eq (Not (∀ (X : Iota), in X (powerset (skS.0 7 a)) → in (setminus (skS.0 7 a) X) (powerset (skS.0 7 a)))) True
% 3.67/3.84 Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (∀ (X : Iota), in X (powerset (skS.0 7 a)) → in (setminus (skS.0 7 a) X) (powerset (skS.0 7 a))) False
% 3.67/3.84 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota),
% 3.67/3.84 Eq
% 3.67/3.84 (Not (in (skS.0 8 a a_1) (powerset (skS.0 7 a)) → in (setminus (skS.0 7 a) (skS.0 8 a a_1)) (powerset (skS.0 7 a))))
% 3.67/3.85 True
% 3.67/3.85 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota),
% 3.67/3.85 Eq (in (skS.0 8 a a_1) (powerset (skS.0 7 a)) → in (setminus (skS.0 7 a) (skS.0 8 a a_1)) (powerset (skS.0 7 a)))
% 3.67/3.85 False
% 3.67/3.85 Clause #69 (by clausification #[67]): ∀ (a a_1 : Iota), Eq (in (setminus (skS.0 7 a) (skS.0 8 a a_1)) (powerset (skS.0 7 a))) False
% 3.67/3.85 Clause #74 (by forward demodulation #[49, 24]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 6 a a_1 a_2) a_1) False))
% 3.67/3.85 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 6 a a_1 a_2) a_1) False)
% 3.67/3.85 Clause #76 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.85 Or (Eq (in (skS.0 6 (setminus a a_1) a_2 a_3) a) True) (Eq (in (setminus a a_1) (powerset a_2)) True)
% 3.67/3.85 Clause #78 (by superposition #[76, 75]): ∀ (a a_1 : Iota),
% 3.67/3.85 Or (Eq (in (setminus a a_1) (powerset a)) True) (Or (Eq (in (setminus a a_1) (powerset a)) True) (Eq True False))
% 3.67/3.85 Clause #79 (by clausification #[78]): ∀ (a a_1 : Iota), Or (Eq (in (setminus a a_1) (powerset a)) True) (Eq (in (setminus a a_1) (powerset a)) True)
% 3.67/3.85 Clause #80 (by eliminate duplicate literals #[79]): ∀ (a a_1 : Iota), Eq (in (setminus a a_1) (powerset a)) True
% 3.67/3.85 Clause #81 (by superposition #[80, 69]): Eq True False
% 3.67/3.85 Clause #82 (by clausification #[81]): False
% 3.67/3.85 SZS output end Proof for theBenchmark.p
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