TSTP Solution File: SET062+4 by Duper---1.0
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% File : Duper---1.0
% Problem : SET062+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 14:45:23 EDT 2023
% Result : Theorem 3.78s 3.95s
% Output : Proof 3.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET062+4 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 11:50:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.78/3.95 SZS status Theorem for theBenchmark.p
% 3.78/3.95 SZS output start Proof for theBenchmark.p
% 3.78/3.95 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (X : Iota), member X A → member X B)) True
% 3.78/3.95 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Not (member X empty_set)) True
% 3.78/3.95 Clause #11 (by assumption #[]): Eq (Not (∀ (A : Iota), subset empty_set A)) True
% 3.78/3.95 Clause #12 (by clausification #[11]): Eq (∀ (A : Iota), subset empty_set A) False
% 3.78/3.95 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Not (subset empty_set (skS.0 0 a))) True
% 3.78/3.95 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (subset empty_set (skS.0 0 a)) False
% 3.78/3.95 Clause #15 (by clausification #[5]): ∀ (a : Iota), Eq (Not (member a empty_set)) True
% 3.78/3.95 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (member a empty_set) False
% 3.78/3.95 Clause #27 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (X : Iota), member X a → member X B)) True
% 3.78/3.95 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
% 3.78/3.95 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)
% 3.78/3.95 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 3.78/3.95 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)
% 3.78/3.95 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 3.78/3.95 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)
% 3.78/3.95 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)
% 3.78/3.95 Clause #35 (by superposition #[33, 16]): ∀ (a : Iota), Or (Eq (subset empty_set a) True) (Eq True False)
% 3.78/3.95 Clause #37 (by clausification #[35]): ∀ (a : Iota), Eq (subset empty_set a) True
% 3.78/3.95 Clause #38 (by superposition #[37, 14]): Eq True False
% 3.78/3.95 Clause #40 (by clausification #[38]): False
% 3.78/3.95 SZS output end Proof for theBenchmark.p
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