TSTP Solution File: SET947+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n014.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 14:48:08 EDT 2023
% Result : Theorem 8.89s 9.06s
% Output : Proof 8.89s
% 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 : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n014.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 14:39:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 8.89/9.06 SZS status Theorem for theBenchmark.p
% 8.89/9.06 SZS output start Proof for theBenchmark.p
% 8.89/9.06 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), Iff (Eq B (powerset A)) (∀ (C : Iota), Iff (in C B) (subset C A))) True
% 8.89/9.06 Clause #2 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (C : Iota), in C A → in C B)) True
% 8.89/9.06 Clause #3 (by assumption #[]): Eq (∀ (A B : Iota), in A B → subset A (union B)) True
% 8.89/9.06 Clause #7 (by assumption #[]): Eq (Not (∀ (A : Iota), subset A (powerset (union A)))) True
% 8.89/9.06 Clause #14 (by clausification #[7]): Eq (∀ (A : Iota), subset A (powerset (union A))) False
% 8.89/9.06 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (subset (skS.0 2 a) (powerset (union (skS.0 2 a))))) True
% 8.89/9.06 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (subset (skS.0 2 a) (powerset (union (skS.0 2 a)))) False
% 8.89/9.06 Clause #17 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → subset a (union B)) True
% 8.89/9.06 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (in a a_1 → subset a (union a_1)) True
% 8.89/9.06 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (subset a (union a_1)) True)
% 8.89/9.06 Clause #24 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (C : Iota), in C a → in C B)) True
% 8.89/9.06 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (C : Iota), in C a → in C a_1)) True
% 8.89/9.06 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (C : Iota), in C a → in C a_1) False)
% 8.89/9.06 Clause #28 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 8.89/9.06 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 3 a a_1 a_2) a → in (skS.0 3 a a_1 a_2) a_1)) True)
% 8.89/9.06 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 3 a a_1 a_2) a → in (skS.0 3 a a_1 a_2) a_1) False)
% 8.89/9.06 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 3 a a_1 a_2) a) True)
% 8.89/9.06 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 3 a a_1 a_2) a_1) False)
% 8.89/9.06 Clause #32 (by superposition #[30, 19]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Or (Eq True False) (Eq (subset (skS.0 3 a a_1 a_2) (union a)) True))
% 8.89/9.06 Clause #38 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (Eq B (powerset a)) (∀ (C : Iota), Iff (in C B) (subset C a))) True
% 8.89/9.06 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (Iff (Eq a (powerset a_1)) (∀ (C : Iota), Iff (in C a) (subset C a_1))) True
% 8.89/9.06 Clause #41 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (Eq a (powerset a_1)) False) (Eq (∀ (C : Iota), Iff (in C a) (subset C a_1)) True)
% 8.89/9.06 Clause #47 (by clausification #[41]): ∀ (a a_1 : Iota), Or (Eq (∀ (C : Iota), Iff (in C a) (subset C a_1)) True) (Ne a (powerset a_1))
% 8.89/9.06 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Ne a (powerset a_1)) (Eq (Iff (in a_2 a) (subset a_2 a_1)) True)
% 8.89/9.06 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Or (Ne a (powerset a_1)) (Or (Eq (in a_2 a) True) (Eq (subset a_2 a_1) False))
% 8.89/9.06 Clause #51 (by destructive equality resolution #[49]): ∀ (a a_1 : Iota), Or (Eq (in a (powerset a_1)) True) (Eq (subset a a_1) False)
% 8.89/9.06 Clause #65 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (subset (skS.0 3 a a_1 a_2) (union a)) True)
% 8.89/9.06 Clause #67 (by superposition #[65, 51]): ∀ (a a_1 a_2 : Iota),
% 8.89/9.06 Or (Eq (subset a a_1) True) (Or (Eq (in (skS.0 3 a a_1 a_2) (powerset (union a))) True) (Eq True False))
% 8.89/9.06 Clause #175 (by clausification #[67]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 3 a a_1 a_2) (powerset (union a))) True)
% 8.89/9.06 Clause #176 (by superposition #[175, 31]): ∀ (a : Iota),
% 8.89/9.06 Or (Eq (subset a (powerset (union a))) True) (Or (Eq (subset a (powerset (union a))) True) (Eq True False))
% 8.89/9.06 Clause #555 (by clausification #[176]): ∀ (a : Iota), Or (Eq (subset a (powerset (union a))) True) (Eq (subset a (powerset (union a))) True)
% 8.89/9.06 Clause #556 (by eliminate duplicate literals #[555]): ∀ (a : Iota), Eq (subset a (powerset (union a))) True
% 8.89/9.07 Clause #557 (by superposition #[556, 16]): Eq True False
% 8.89/9.07 Clause #562 (by clausification #[557]): False
% 8.89/9.07 SZS output end Proof for theBenchmark.p
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