TSTP Solution File: SET366+4 by Duper---1.0
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% File : Duper---1.0
% Problem : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 14:46:23 EDT 2023
% Result : Theorem 4.17s 4.48s
% Output : Proof 4.17s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.16 % Command : duper %s
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8042.1875MB
% 0.08/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Aug 26 14:49:52 EDT 2023
% 0.08/0.36 % CPUTime :
% 4.17/4.48 SZS status Theorem for theBenchmark.p
% 4.17/4.48 SZS output start Proof for theBenchmark.p
% 4.17/4.48 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (X : Iota), member X A → member X B)) True
% 4.17/4.48 Clause #2 (by assumption #[]): Eq (∀ (X A : Iota), Iff (member X (power_set A)) (subset X A)) True
% 4.17/4.48 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Not (member X empty_set)) True
% 4.17/4.48 Clause #11 (by assumption #[]): Eq (Not (∀ (A : Iota), member empty_set (power_set A))) True
% 4.17/4.48 Clause #12 (by clausification #[5]): ∀ (a : Iota), Eq (Not (member a empty_set)) True
% 4.17/4.48 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (member a empty_set) False
% 4.17/4.48 Clause #14 (by clausification #[11]): Eq (∀ (A : Iota), member empty_set (power_set A)) False
% 4.17/4.48 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (member empty_set (power_set (skS.0 0 a)))) True
% 4.17/4.48 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (member empty_set (power_set (skS.0 0 a))) False
% 4.17/4.48 Clause #17 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (A : Iota), Iff (member a (power_set A)) (subset a A)) True
% 4.17/4.48 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (Iff (member a (power_set a_1)) (subset a a_1)) True
% 4.17/4.48 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (member a (power_set a_1)) True) (Eq (subset a a_1) False)
% 4.17/4.48 Clause #27 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (X : Iota), member X a → member X B)) True
% 4.17/4.48 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
% 4.17/4.48 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)
% 4.17/4.48 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.48 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)
% 4.17/4.48 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.48 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)
% 4.17/4.48 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)
% 4.17/4.48 Clause #35 (by superposition #[33, 13]): ∀ (a : Iota), Or (Eq (subset empty_set a) True) (Eq True False)
% 4.17/4.48 Clause #37 (by clausification #[35]): ∀ (a : Iota), Eq (subset empty_set a) True
% 4.17/4.48 Clause #38 (by superposition #[37, 19]): ∀ (a : Iota), Or (Eq (member empty_set (power_set a)) True) (Eq True False)
% 4.17/4.48 Clause #39 (by clausification #[38]): ∀ (a : Iota), Eq (member empty_set (power_set a)) True
% 4.17/4.48 Clause #40 (by superposition #[39, 16]): Eq True False
% 4.17/4.48 Clause #42 (by clausification #[40]): False
% 4.17/4.48 SZS output end Proof for theBenchmark.p
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