TSTP Solution File: SET924+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 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 14:48:04 EDT 2023
% Result : Theorem 3.72s 3.92s
% Output : Proof 3.72s
% 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 : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 12:49:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.72/3.92 SZS status Theorem for theBenchmark.p
% 3.72/3.92 SZS output start Proof for theBenchmark.p
% 3.72/3.92 Clause #3 (by assumption #[]): Eq (Not (∀ (A B : Iota), Iff (Eq (set_difference (singleton A) B) (singleton A)) (Not (in A B)))) True
% 3.72/3.92 Clause #4 (by assumption #[]): Eq (∀ (A B : Iota), Iff (Eq (set_difference (singleton A) B) (singleton A)) (Not (in A B))) True
% 3.72/3.92 Clause #13 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (Eq (set_difference (singleton a) B) (singleton a)) (Not (in a B))) True
% 3.72/3.92 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Iff (Eq (set_difference (singleton a) a_1) (singleton a)) (Not (in a a_1))) True
% 3.72/3.92 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (Eq (set_difference (singleton a) a_1) (singleton a)) True) (Eq (Not (in a a_1)) False)
% 3.72/3.92 Clause #16 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (Eq (set_difference (singleton a) a_1) (singleton a)) False) (Eq (Not (in a a_1)) True)
% 3.72/3.92 Clause #17 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (Not (in a a_1)) False) (Eq (set_difference (singleton a) a_1) (singleton a))
% 3.72/3.92 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (set_difference (singleton a) a_1) (singleton a)) (Eq (in a a_1) True)
% 3.72/3.92 Clause #19 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (Not (in a a_1)) True) (Ne (set_difference (singleton a) a_1) (singleton a))
% 3.72/3.92 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Ne (set_difference (singleton a) a_1) (singleton a)) (Eq (in a a_1) False)
% 3.72/3.92 Clause #22 (by clausification #[3]): Eq (∀ (A B : Iota), Iff (Eq (set_difference (singleton A) B) (singleton A)) (Not (in A B))) False
% 3.72/3.92 Clause #23 (by clausification #[22]): ∀ (a : Iota),
% 3.72/3.92 Eq
% 3.72/3.92 (Not
% 3.72/3.92 (∀ (B : Iota),
% 3.72/3.92 Iff (Eq (set_difference (singleton (skS.0 2 a)) B) (singleton (skS.0 2 a))) (Not (in (skS.0 2 a) B))))
% 3.72/3.92 True
% 3.72/3.92 Clause #24 (by clausification #[23]): ∀ (a : Iota),
% 3.72/3.92 Eq
% 3.72/3.92 (∀ (B : Iota), Iff (Eq (set_difference (singleton (skS.0 2 a)) B) (singleton (skS.0 2 a))) (Not (in (skS.0 2 a) B)))
% 3.72/3.92 False
% 3.72/3.92 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota),
% 3.72/3.92 Eq
% 3.72/3.92 (Not
% 3.72/3.92 (Iff (Eq (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a)))
% 3.72/3.92 (Not (in (skS.0 2 a) (skS.0 3 a a_1)))))
% 3.72/3.92 True
% 3.72/3.92 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota),
% 3.72/3.92 Eq
% 3.72/3.92 (Iff (Eq (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a)))
% 3.72/3.92 (Not (in (skS.0 2 a) (skS.0 3 a a_1))))
% 3.72/3.92 False
% 3.72/3.92 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota),
% 3.72/3.92 Or (Eq (Eq (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a))) False)
% 3.72/3.92 (Eq (Not (in (skS.0 2 a) (skS.0 3 a a_1))) False)
% 3.72/3.92 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota),
% 3.72/3.92 Or (Eq (Eq (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a))) True)
% 3.72/3.92 (Eq (Not (in (skS.0 2 a) (skS.0 3 a a_1))) True)
% 3.72/3.92 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota),
% 3.72/3.92 Or (Eq (Not (in (skS.0 2 a) (skS.0 3 a a_1))) False)
% 3.72/3.92 (Ne (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a)))
% 3.72/3.92 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota),
% 3.72/3.92 Or (Ne (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a)))
% 3.72/3.92 (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True)
% 3.72/3.92 Clause #31 (by forward contextual literal cutting #[30, 18]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True
% 3.72/3.92 Clause #34 (by clausification #[28]): ∀ (a a_1 : Iota),
% 3.72/3.92 Or (Eq (Not (in (skS.0 2 a) (skS.0 3 a a_1))) True)
% 3.72/3.92 (Eq (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a)))
% 3.72/3.92 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 3.72/3.92 Or (Eq (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a)))
% 3.72/3.92 (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) False)
% 3.72/3.92 Clause #36 (by forward demodulation #[35, 31]): ∀ (a a_1 : Iota),
% 3.72/3.92 Or (Eq (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a))) (Eq True False)
% 3.72/3.92 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Eq (set_difference (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (singleton (skS.0 2 a))
% 3.72/3.93 Clause #38 (by superposition #[37, 20]): ∀ (a a_1 : Iota), Or (Ne (singleton (skS.0 2 a)) (singleton (skS.0 2 a))) (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) False)
% 3.72/3.93 Clause #39 (by eliminate resolved literals #[38]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) False
% 3.72/3.93 Clause #40 (by superposition #[39, 31]): Eq False True
% 3.72/3.93 Clause #41 (by clausification #[40]): False
% 3.72/3.93 SZS output end Proof for theBenchmark.p
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