TSTP Solution File: SEU728^2 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU728^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 16:43:36 EDT 2023
% Result : Theorem 3.77s 3.93s
% Output : Proof 3.77s
% 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 : SEU728^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n029.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 : Wed Aug 23 19:27:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.77/3.93 SZS status Theorem for theBenchmark.p
% 3.77/3.93 SZS output start Proof for theBenchmark.p
% 3.77/3.93 Clause #0 (by assumption #[]): Eq (Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))) True
% 3.77/3.93 Clause #1 (by assumption #[]): Eq (Eq setminusER (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B))) True
% 3.77/3.93 Clause #2 (by assumption #[]): Eq
% 3.77/3.93 (Not
% 3.77/3.93 (setminusI →
% 3.77/3.93 setminusER →
% 3.77/3.93 ∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (setminus A X)) → in Xx X))
% 3.77/3.93 True
% 3.77/3.93 Clause #3 (by clausification #[1]): Eq setminusER (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B))
% 3.77/3.93 Clause #20 (by clausification #[2]): Eq
% 3.77/3.93 (setminusI →
% 3.77/3.93 setminusER →
% 3.77/3.93 ∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (setminus A X)) → in Xx X)
% 3.77/3.93 False
% 3.77/3.93 Clause #21 (by clausification #[20]): Eq setminusI True
% 3.77/3.93 Clause #22 (by clausification #[20]): Eq
% 3.77/3.93 (setminusER →
% 3.77/3.93 ∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (setminus A X)) → in Xx X)
% 3.77/3.93 False
% 3.77/3.93 Clause #23 (by clausification #[0]): Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))
% 3.77/3.93 Clause #24 (by forward demodulation #[23, 21]): Eq True (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))
% 3.77/3.93 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx a → Not (in Xx B) → in Xx (setminus a B)) True
% 3.77/3.93 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx a → Not (in Xx a_1) → in Xx (setminus a a_1)) True
% 3.77/3.93 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (in a a_1 → Not (in a a_2) → in a (setminus a_1 a_2)) True
% 3.77/3.93 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Eq (Not (in a a_2) → in a (setminus a_1 a_2)) True)
% 3.77/3.93 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (Not (in a a_2)) False) (Eq (in a (setminus a_1 a_2)) True))
% 3.77/3.93 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (in a (setminus a_1 a_2)) True) (Eq (in a a_2) True))
% 3.77/3.93 Clause #32 (by clausification #[22]): Eq setminusER True
% 3.77/3.93 Clause #33 (by clausification #[22]): Eq (∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (setminus A X)) → in Xx X) False
% 3.77/3.93 Clause #34 (by backward demodulation #[32, 3]): Eq True (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B))
% 3.77/3.93 Clause #37 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (setminus a B) → Not (in Xx B)) True
% 3.77/3.93 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx (setminus a a_1) → Not (in Xx a_1)) True
% 3.77/3.93 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota), Eq (in a (setminus a_1 a_2) → Not (in a a_2)) True
% 3.77/3.93 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setminus a_1 a_2)) False) (Eq (Not (in a a_2)) True)
% 3.77/3.93 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setminus a_1 a_2)) False) (Eq (in a a_2) False)
% 3.77/3.93 Clause #42 (by clausification #[33]): ∀ (a : Iota),
% 3.77/3.93 Eq
% 3.77/3.93 (Not
% 3.77/3.93 (∀ (X : Iota),
% 3.77/3.93 in X (powerset (skS.0 3 a)) →
% 3.77/3.93 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (setminus (skS.0 3 a) (setminus (skS.0 3 a) X)) → in Xx X))
% 3.77/3.93 True
% 3.77/3.93 Clause #43 (by clausification #[42]): ∀ (a : Iota),
% 3.77/3.93 Eq
% 3.77/3.93 (∀ (X : Iota),
% 3.77/3.93 in X (powerset (skS.0 3 a)) →
% 3.77/3.93 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (setminus (skS.0 3 a) (setminus (skS.0 3 a) X)) → in Xx X)
% 3.77/3.93 False
% 3.77/3.93 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 3.77/3.93 Eq
% 3.77/3.93 (Not
% 3.77/3.93 (in (skS.0 4 a a_1) (powerset (skS.0 3 a)) →
% 3.77/3.93 ∀ (Xx : Iota),
% 3.77/3.93 in Xx (skS.0 3 a) →
% 3.77/3.93 in Xx (setminus (skS.0 3 a) (setminus (skS.0 3 a) (skS.0 4 a a_1))) → in Xx (skS.0 4 a a_1)))
% 3.77/3.93 True
% 3.77/3.93 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota),
% 3.77/3.93 Eq
% 3.77/3.93 (in (skS.0 4 a a_1) (powerset (skS.0 3 a)) →
% 3.77/3.93 ∀ (Xx : Iota),
% 3.77/3.93 in Xx (skS.0 3 a) → in Xx (setminus (skS.0 3 a) (setminus (skS.0 3 a) (skS.0 4 a a_1))) → in Xx (skS.0 4 a a_1))
% 3.77/3.94 False
% 3.77/3.94 Clause #47 (by clausification #[45]): ∀ (a a_1 : Iota),
% 3.77/3.94 Eq
% 3.77/3.94 (∀ (Xx : Iota),
% 3.77/3.94 in Xx (skS.0 3 a) → in Xx (setminus (skS.0 3 a) (setminus (skS.0 3 a) (skS.0 4 a a_1))) → in Xx (skS.0 4 a a_1))
% 3.77/3.94 False
% 3.77/3.94 Clause #49 (by clausification #[47]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Eq
% 3.77/3.94 (Not
% 3.77/3.94 (in (skS.0 5 a a_1 a_2) (skS.0 3 a) →
% 3.77/3.94 in (skS.0 5 a a_1 a_2) (setminus (skS.0 3 a) (setminus (skS.0 3 a) (skS.0 4 a a_1))) →
% 3.77/3.94 in (skS.0 5 a a_1 a_2) (skS.0 4 a a_1)))
% 3.77/3.94 True
% 3.77/3.94 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Eq
% 3.77/3.94 (in (skS.0 5 a a_1 a_2) (skS.0 3 a) →
% 3.77/3.94 in (skS.0 5 a a_1 a_2) (setminus (skS.0 3 a) (setminus (skS.0 3 a) (skS.0 4 a a_1))) →
% 3.77/3.94 in (skS.0 5 a a_1 a_2) (skS.0 4 a a_1))
% 3.77/3.94 False
% 3.77/3.94 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (skS.0 3 a)) True
% 3.77/3.94 Clause #52 (by clausification #[50]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Eq
% 3.77/3.94 (in (skS.0 5 a a_1 a_2) (setminus (skS.0 3 a) (setminus (skS.0 3 a) (skS.0 4 a a_1))) →
% 3.77/3.94 in (skS.0 5 a a_1 a_2) (skS.0 4 a a_1))
% 3.77/3.94 False
% 3.77/3.94 Clause #53 (by superposition #[51, 30]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.77/3.94 Or (Eq True False)
% 3.77/3.94 (Or (Eq (in (skS.0 5 a a_1 a_2) (setminus (skS.0 3 a) a_3)) True) (Eq (in (skS.0 5 a a_1 a_2) a_3) True))
% 3.77/3.94 Clause #56 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (setminus (skS.0 3 a) (setminus (skS.0 3 a) (skS.0 4 a a_1)))) True
% 3.77/3.94 Clause #57 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (skS.0 4 a a_1)) False
% 3.77/3.94 Clause #58 (by superposition #[56, 41]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (in (skS.0 5 a a_1 a_2) (setminus (skS.0 3 a) (skS.0 4 a a_1))) False)
% 3.77/3.94 Clause #60 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (setminus (skS.0 3 a) (skS.0 4 a a_1))) False
% 3.77/3.94 Clause #67 (by clausification #[53]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.77/3.94 Or (Eq (in (skS.0 5 a a_1 a_2) (setminus (skS.0 3 a) a_3)) True) (Eq (in (skS.0 5 a a_1 a_2) a_3) True)
% 3.77/3.94 Clause #68 (by superposition #[67, 60]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 5 a a_1 a_2) (skS.0 4 a a_1)) True) (Eq True False)
% 3.77/3.94 Clause #71 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (skS.0 4 a a_1)) True
% 3.77/3.94 Clause #72 (by superposition #[71, 57]): Eq True False
% 3.77/3.94 Clause #74 (by clausification #[72]): False
% 3.77/3.94 SZS output end Proof for theBenchmark.p
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