TSTP Solution File: SEU720^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU720^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 16:43:33 EDT 2023
% Result : Theorem 3.76s 3.92s
% Output : Proof 3.76s
% 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 : SEU720^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 22:09:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.76/3.92 SZS status Theorem for theBenchmark.p
% 3.76/3.92 SZS output start Proof for theBenchmark.p
% 3.76/3.92 Clause #0 (by assumption #[]): Eq (Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))) True
% 3.76/3.92 Clause #1 (by assumption #[]): Eq (Not (setminusI → ∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx (setminus A X)) → in Xx X))
% 3.76/3.92 True
% 3.76/3.92 Clause #2 (by clausification #[1]): Eq (setminusI → ∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx (setminus A X)) → in Xx X) False
% 3.76/3.92 Clause #3 (by clausification #[2]): Eq setminusI True
% 3.76/3.92 Clause #4 (by clausification #[2]): Eq (∀ (A X : Iota), in X (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx (setminus A X)) → in Xx X) False
% 3.76/3.92 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 3.76/3.92 Eq
% 3.76/3.92 (Not
% 3.76/3.92 (∀ (X : Iota),
% 3.76/3.92 in X (powerset (skS.0 0 a)) →
% 3.76/3.92 ∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (in Xx (setminus (skS.0 0 a) X)) → in Xx X))
% 3.76/3.92 True
% 3.76/3.92 Clause #6 (by clausification #[5]): ∀ (a : Iota),
% 3.76/3.92 Eq
% 3.76/3.92 (∀ (X : Iota),
% 3.76/3.92 in X (powerset (skS.0 0 a)) → ∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (in Xx (setminus (skS.0 0 a) X)) → in Xx X)
% 3.76/3.92 False
% 3.76/3.92 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 3.76/3.92 Eq
% 3.76/3.92 (Not
% 3.76/3.92 (in (skS.0 1 a a_1) (powerset (skS.0 0 a)) →
% 3.76/3.92 ∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (in Xx (setminus (skS.0 0 a) (skS.0 1 a a_1))) → in Xx (skS.0 1 a a_1)))
% 3.76/3.92 True
% 3.76/3.92 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 3.76/3.92 Eq
% 3.76/3.92 (in (skS.0 1 a a_1) (powerset (skS.0 0 a)) →
% 3.76/3.92 ∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (in Xx (setminus (skS.0 0 a) (skS.0 1 a a_1))) → in Xx (skS.0 1 a a_1))
% 3.76/3.92 False
% 3.76/3.92 Clause #10 (by clausification #[8]): ∀ (a a_1 : Iota),
% 3.76/3.92 Eq (∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (in Xx (setminus (skS.0 0 a) (skS.0 1 a a_1))) → in Xx (skS.0 1 a a_1))
% 3.76/3.92 False
% 3.76/3.92 Clause #11 (by clausification #[0]): Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))
% 3.76/3.92 Clause #12 (by forward demodulation #[11, 3]): Eq True (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))
% 3.76/3.92 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx a → Not (in Xx B) → in Xx (setminus a B)) True
% 3.76/3.92 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx a → Not (in Xx a_1) → in Xx (setminus a a_1)) True
% 3.76/3.92 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Eq (in a a_1 → Not (in a a_2) → in a (setminus a_1 a_2)) True
% 3.76/3.92 Clause #16 (by clausification #[15]): ∀ (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)
% 3.76/3.92 Clause #17 (by clausification #[16]): ∀ (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))
% 3.76/3.92 Clause #18 (by clausification #[17]): ∀ (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))
% 3.76/3.92 Clause #20 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.92 Eq
% 3.76/3.92 (Not
% 3.76/3.92 (in (skS.0 2 a a_1 a_2) (skS.0 0 a) →
% 3.76/3.92 Not (in (skS.0 2 a a_1 a_2) (setminus (skS.0 0 a) (skS.0 1 a a_1))) → in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 3.76/3.92 True
% 3.76/3.92 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.92 Eq
% 3.76/3.92 (in (skS.0 2 a a_1 a_2) (skS.0 0 a) →
% 3.76/3.92 Not (in (skS.0 2 a a_1 a_2) (setminus (skS.0 0 a) (skS.0 1 a a_1))) → in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))
% 3.76/3.92 False
% 3.76/3.92 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 0 a)) True
% 3.76/3.92 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.92 Eq (Not (in (skS.0 2 a a_1 a_2) (setminus (skS.0 0 a) (skS.0 1 a a_1))) → in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))
% 3.76/3.92 False
% 3.76/3.92 Clause #24 (by superposition #[22, 18]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.76/3.92 Or (Eq True False)
% 3.76/3.92 (Or (Eq (in (skS.0 2 a a_1 a_2) (setminus (skS.0 0 a) a_3)) True) (Eq (in (skS.0 2 a a_1 a_2) a_3) True))
% 3.76/3.92 Clause #25 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Eq (Not (in (skS.0 2 a a_1 a_2) (setminus (skS.0 0 a) (skS.0 1 a a_1)))) True
% 3.76/3.92 Clause #26 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False
% 3.76/3.92 Clause #27 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (setminus (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.76/3.92 Clause #30 (by clausification #[24]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.76/3.92 Or (Eq (in (skS.0 2 a a_1 a_2) (setminus (skS.0 0 a) a_3)) True) (Eq (in (skS.0 2 a a_1 a_2) a_3) True)
% 3.76/3.92 Clause #31 (by superposition #[30, 27]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True) (Eq True False)
% 3.76/3.92 Clause #33 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 3.76/3.92 Clause #34 (by superposition #[33, 26]): Eq True False
% 3.76/3.92 Clause #36 (by clausification #[34]): False
% 3.76/3.92 SZS output end Proof for theBenchmark.p
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