TSTP Solution File: SEU718^2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU718^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 16:43:32 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
% 0.00/0.13 % Problem : SEU718^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : duper %s
% 0.15/0.36 % Computer : n018.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 : Wed Aug 23 14:14:56 EDT 2023
% 0.15/0.36 % 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 subsetE (∀ (A B Xx : Iota), subset A B → in Xx A → in Xx B)) True
% 3.67/3.84 Clause #1 (by assumption #[]): Eq (Eq powersetE1 (∀ (A B : Iota), in B (powerset A) → subset B A)) True
% 3.67/3.84 Clause #2 (by assumption #[]): Eq
% 3.67/3.84 (Not
% 3.67/3.84 (subsetE →
% 3.67/3.84 powersetE1 →
% 3.67/3.84 ∀ (A X : Iota),
% 3.67/3.84 in X (powerset A) →
% 3.67/3.84 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in X (powerset Y) → in Xx X → in Xx Y))
% 3.67/3.84 True
% 3.67/3.84 Clause #3 (by clausification #[1]): Eq powersetE1 (∀ (A B : Iota), in B (powerset A) → subset B A)
% 3.67/3.84 Clause #16 (by clausification #[0]): Eq subsetE (∀ (A B Xx : Iota), subset A B → in Xx A → in Xx B)
% 3.67/3.84 Clause #20 (by clausification #[2]): Eq
% 3.67/3.84 (subsetE →
% 3.67/3.84 powersetE1 →
% 3.67/3.84 ∀ (A X : Iota),
% 3.67/3.84 in X (powerset A) →
% 3.67/3.84 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in X (powerset Y) → in Xx X → in Xx Y)
% 3.67/3.84 False
% 3.67/3.84 Clause #21 (by clausification #[20]): Eq subsetE True
% 3.67/3.84 Clause #22 (by clausification #[20]): Eq
% 3.67/3.84 (powersetE1 →
% 3.67/3.84 ∀ (A X : Iota),
% 3.67/3.84 in X (powerset A) →
% 3.67/3.84 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in X (powerset Y) → in Xx X → in Xx Y)
% 3.67/3.84 False
% 3.67/3.84 Clause #23 (by backward demodulation #[21, 16]): Eq True (∀ (A B Xx : Iota), subset A B → in Xx A → in Xx B)
% 3.67/3.84 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), subset a B → in Xx a → in Xx B) True
% 3.67/3.84 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), subset a a_1 → in Xx a → in Xx a_1) True
% 3.67/3.84 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), Eq (subset a a_1 → in a_2 a → in a_2 a_1) True
% 3.67/3.84 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Eq (in a_2 a → in a_2 a_1) True)
% 3.67/3.84 Clause #28 (by clausification #[27]): ∀ (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))
% 3.67/3.84 Clause #44 (by clausification #[22]): Eq powersetE1 True
% 3.67/3.84 Clause #45 (by clausification #[22]): Eq
% 3.67/3.84 (∀ (A X : Iota),
% 3.67/3.84 in X (powerset A) →
% 3.67/3.84 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in X (powerset Y) → in Xx X → in Xx Y)
% 3.67/3.84 False
% 3.67/3.84 Clause #46 (by backward demodulation #[44, 3]): Eq True (∀ (A B : Iota), in B (powerset A) → subset B A)
% 3.67/3.84 Clause #50 (by clausification #[46]): ∀ (a : Iota), Eq (∀ (B : Iota), in B (powerset a) → subset B a) True
% 3.67/3.84 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (in a (powerset a_1) → subset a a_1) True
% 3.67/3.84 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (in a (powerset a_1)) False) (Eq (subset a a_1) True)
% 3.67/3.84 Clause #53 (by clausification #[45]): ∀ (a : Iota),
% 3.67/3.84 Eq
% 3.67/3.84 (Not
% 3.67/3.84 (∀ (X : Iota),
% 3.67/3.84 in X (powerset (skS.0 5 a)) →
% 3.67/3.84 ∀ (Y : Iota),
% 3.67/3.84 in Y (powerset (skS.0 5 a)) → ∀ (Xx : Iota), in Xx (skS.0 5 a) → in X (powerset Y) → in Xx X → in Xx Y))
% 3.67/3.84 True
% 3.67/3.84 Clause #54 (by clausification #[53]): ∀ (a : Iota),
% 3.67/3.84 Eq
% 3.67/3.84 (∀ (X : Iota),
% 3.67/3.84 in X (powerset (skS.0 5 a)) →
% 3.67/3.84 ∀ (Y : Iota),
% 3.67/3.84 in Y (powerset (skS.0 5 a)) → ∀ (Xx : Iota), in Xx (skS.0 5 a) → in X (powerset Y) → in Xx X → in Xx Y)
% 3.67/3.84 False
% 3.67/3.84 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota),
% 3.67/3.84 Eq
% 3.67/3.84 (Not
% 3.67/3.84 (in (skS.0 6 a a_1) (powerset (skS.0 5 a)) →
% 3.67/3.84 ∀ (Y : Iota),
% 3.67/3.84 in Y (powerset (skS.0 5 a)) →
% 3.67/3.84 ∀ (Xx : Iota), in Xx (skS.0 5 a) → in (skS.0 6 a a_1) (powerset Y) → in Xx (skS.0 6 a a_1) → in Xx Y))
% 3.67/3.84 True
% 3.67/3.84 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota),
% 3.67/3.84 Eq
% 3.67/3.84 (in (skS.0 6 a a_1) (powerset (skS.0 5 a)) →
% 3.67/3.84 ∀ (Y : Iota),
% 3.67/3.84 in Y (powerset (skS.0 5 a)) →
% 3.67/3.84 ∀ (Xx : Iota), in Xx (skS.0 5 a) → in (skS.0 6 a a_1) (powerset Y) → in Xx (skS.0 6 a a_1) → in Xx Y)
% 3.67/3.84 False
% 3.67/3.84 Clause #58 (by clausification #[56]): ∀ (a a_1 : Iota),
% 3.67/3.84 Eq
% 3.67/3.84 (∀ (Y : Iota),
% 3.67/3.84 in Y (powerset (skS.0 5 a)) →
% 3.67/3.84 ∀ (Xx : Iota), in Xx (skS.0 5 a) → in (skS.0 6 a a_1) (powerset Y) → in Xx (skS.0 6 a a_1) → in Xx Y)
% 3.67/3.86 False
% 3.67/3.86 Clause #60 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 3.67/3.86 Eq
% 3.67/3.86 (Not
% 3.67/3.86 (in (skS.0 7 a a_1 a_2) (powerset (skS.0 5 a)) →
% 3.67/3.86 ∀ (Xx : Iota),
% 3.67/3.86 in Xx (skS.0 5 a) →
% 3.67/3.86 in (skS.0 6 a a_1) (powerset (skS.0 7 a a_1 a_2)) → in Xx (skS.0 6 a a_1) → in Xx (skS.0 7 a a_1 a_2)))
% 3.67/3.86 True
% 3.67/3.86 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota),
% 3.67/3.86 Eq
% 3.67/3.86 (in (skS.0 7 a a_1 a_2) (powerset (skS.0 5 a)) →
% 3.67/3.86 ∀ (Xx : Iota),
% 3.67/3.86 in Xx (skS.0 5 a) →
% 3.67/3.86 in (skS.0 6 a a_1) (powerset (skS.0 7 a a_1 a_2)) → in Xx (skS.0 6 a a_1) → in Xx (skS.0 7 a a_1 a_2))
% 3.67/3.86 False
% 3.67/3.86 Clause #63 (by clausification #[61]): ∀ (a a_1 a_2 : Iota),
% 3.67/3.86 Eq
% 3.67/3.86 (∀ (Xx : Iota),
% 3.67/3.86 in Xx (skS.0 5 a) →
% 3.67/3.86 in (skS.0 6 a a_1) (powerset (skS.0 7 a a_1 a_2)) → in Xx (skS.0 6 a a_1) → in Xx (skS.0 7 a a_1 a_2))
% 3.67/3.86 False
% 3.67/3.86 Clause #65 (by clausification #[63]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.86 Eq
% 3.67/3.86 (Not
% 3.67/3.86 (in (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) →
% 3.67/3.86 in (skS.0 6 a a_1) (powerset (skS.0 7 a a_1 a_2)) →
% 3.67/3.86 in (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) → in (skS.0 8 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2)))
% 3.67/3.86 True
% 3.67/3.86 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.86 Eq
% 3.67/3.86 (in (skS.0 8 a a_1 a_2 a_3) (skS.0 5 a) →
% 3.67/3.86 in (skS.0 6 a a_1) (powerset (skS.0 7 a a_1 a_2)) →
% 3.67/3.86 in (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) → in (skS.0 8 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2))
% 3.67/3.86 False
% 3.67/3.86 Clause #68 (by clausification #[66]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.86 Eq
% 3.67/3.86 (in (skS.0 6 a a_1) (powerset (skS.0 7 a a_1 a_2)) →
% 3.67/3.86 in (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) → in (skS.0 8 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2))
% 3.67/3.86 False
% 3.67/3.86 Clause #78 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a a_1) (powerset (skS.0 7 a a_1 a_2))) True
% 3.67/3.86 Clause #79 (by clausification #[68]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.86 Eq (in (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1) → in (skS.0 8 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2)) False
% 3.67/3.86 Clause #80 (by superposition #[78, 52]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (subset (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) True)
% 3.67/3.86 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 6 a a_1) (skS.0 7 a a_1 a_2)) True
% 3.67/3.86 Clause #82 (by superposition #[81, 28]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.86 Or (Eq True False) (Or (Eq (in a (skS.0 6 a_1 a_2)) False) (Eq (in a (skS.0 7 a_1 a_2 a_3)) True))
% 3.67/3.86 Clause #84 (by clausification #[79]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 8 a a_1 a_2 a_3) (skS.0 6 a a_1)) True
% 3.67/3.86 Clause #85 (by clausification #[79]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 8 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2)) False
% 3.67/3.86 Clause #87 (by clausification #[82]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in a (skS.0 6 a_1 a_2)) False) (Eq (in a (skS.0 7 a_1 a_2 a_3)) True)
% 3.67/3.86 Clause #88 (by superposition #[87, 84]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (in (skS.0 8 a a_1 a_2 a_3) (skS.0 7 a a_1 a_4)) True) (Eq False True)
% 3.67/3.86 Clause #89 (by clausification #[88]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (in (skS.0 8 a a_1 a_2 a_3) (skS.0 7 a a_1 a_4)) True
% 3.67/3.86 Clause #90 (by superposition #[89, 85]): Eq True False
% 3.67/3.86 Clause #91 (by clausification #[90]): False
% 3.67/3.86 SZS output end Proof for theBenchmark.p
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