TSTP Solution File: SET705+4 by Duper---1.0
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% File : Duper---1.0
% Problem : SET705+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 14:47:24 EDT 2023
% Result : Theorem 4.04s 4.33s
% Output : Proof 4.04s
% 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 : SET705+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : duper %s
% 0.19/0.35 % Computer : n019.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Sat Aug 26 09:39:28 EDT 2023
% 0.19/0.35 % CPUTime :
% 4.04/4.33 SZS status Theorem for theBenchmark.p
% 4.04/4.33 SZS output start Proof for theBenchmark.p
% 4.04/4.33 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (X : Iota), member X A → member X B)) True
% 4.04/4.33 Clause #2 (by assumption #[]): Eq (∀ (X A : Iota), Iff (member X (power_set A)) (subset X A)) True
% 4.04/4.33 Clause #11 (by assumption #[]): Eq (Not (∀ (A : Iota), member A (power_set A))) True
% 4.04/4.33 Clause #14 (by clausification #[11]): Eq (∀ (A : Iota), member A (power_set A)) False
% 4.04/4.33 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (member (skS.0 0 a) (power_set (skS.0 0 a)))) True
% 4.04/4.33 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (member (skS.0 0 a) (power_set (skS.0 0 a))) False
% 4.04/4.33 Clause #17 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (A : Iota), Iff (member a (power_set A)) (subset a A)) True
% 4.04/4.33 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (Iff (member a (power_set a_1)) (subset a a_1)) True
% 4.04/4.33 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (member a (power_set a_1)) True) (Eq (subset a a_1) False)
% 4.04/4.33 Clause #27 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (X : Iota), member X a → member X B)) True
% 4.04/4.33 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (X : Iota), member X a → member X a_1)) True
% 4.04/4.33 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (X : Iota), member X a → member X a_1) False)
% 4.04/4.33 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 4.04/4.33 Or (Eq (subset a a_1) True) (Eq (Not (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1)) True)
% 4.04/4.33 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.04/4.33 Or (Eq (subset a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1) False)
% 4.04/4.33 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a) True)
% 4.04/4.33 Clause #34 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a_1) False)
% 4.04/4.33 Clause #254 (by superposition #[34, 33]): ∀ (a : Iota), Or (Eq (subset a a) True) (Or (Eq (subset a a) True) (Eq False True))
% 4.04/4.33 Clause #329 (by clausification #[254]): ∀ (a : Iota), Or (Eq (subset a a) True) (Eq (subset a a) True)
% 4.04/4.33 Clause #330 (by eliminate duplicate literals #[329]): ∀ (a : Iota), Eq (subset a a) True
% 4.04/4.33 Clause #332 (by superposition #[330, 19]): ∀ (a : Iota), Or (Eq (member a (power_set a)) True) (Eq True False)
% 4.04/4.33 Clause #339 (by clausification #[332]): ∀ (a : Iota), Eq (member a (power_set a)) True
% 4.04/4.33 Clause #340 (by superposition #[339, 16]): Eq True False
% 4.04/4.33 Clause #347 (by clausification #[340]): False
% 4.04/4.33 SZS output end Proof for theBenchmark.p
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