TSTP Solution File: SET027+3 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 14:45:09 EDT 2023
% Result : Theorem 3.77s 3.94s
% Output : Proof 3.77s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n007.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 10:33:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.77/3.94 SZS status Theorem for theBenchmark.p
% 3.77/3.94 SZS output start Proof for theBenchmark.p
% 3.77/3.94 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), Iff (subset B C) (∀ (D : Iota), member D B → member D C)) True
% 3.77/3.94 Clause #2 (by assumption #[]): Eq (Not (∀ (B C D : Iota), And (subset B C) (subset C D) → subset B D)) True
% 3.77/3.94 Clause #4 (by clausification #[2]): Eq (∀ (B C D : Iota), And (subset B C) (subset C D) → subset B D) False
% 3.77/3.94 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (Not (∀ (C D : Iota), And (subset (skS.0 0 a) C) (subset C D) → subset (skS.0 0 a) D)) True
% 3.77/3.94 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (C D : Iota), And (subset (skS.0 0 a) C) (subset C D) → subset (skS.0 0 a) D) False
% 3.77/3.94 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 3.77/3.94 Eq (Not (∀ (D : Iota), And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) D) → subset (skS.0 0 a) D))
% 3.77/3.94 True
% 3.77/3.94 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 3.77/3.94 Eq (∀ (D : Iota), And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) D) → subset (skS.0 0 a) D) False
% 3.77/3.94 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Eq
% 3.77/3.94 (Not
% 3.77/3.94 (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 3.77/3.94 subset (skS.0 0 a) (skS.0 2 a a_1 a_2)))
% 3.77/3.94 True
% 3.77/3.94 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Eq
% 3.77/3.94 (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 3.77/3.94 subset (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 3.77/3.94 False
% 3.77/3.94 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Eq (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True
% 3.77/3.94 Clause #12 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 0 a) (skS.0 2 a a_1 a_2)) False
% 3.77/3.94 Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 3.77/3.94 Clause #14 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (subset (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.77/3.94 Clause #15 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (subset a C) (∀ (D : Iota), member D a → member D C)) True
% 3.77/3.94 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (D : Iota), member D a → member D a_1)) True
% 3.77/3.94 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (D : Iota), member D a → member D a_1) False)
% 3.77/3.94 Clause #18 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (∀ (D : Iota), member D a → member D a_1) True)
% 3.77/3.94 Clause #19 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Or (Eq (subset a a_1) True) (Eq (Not (member (skS.0 3 a a_1 a_2) a → member (skS.0 3 a a_1 a_2) a_1)) True)
% 3.77/3.94 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.94 Or (Eq (subset a a_1) True) (Eq (member (skS.0 3 a a_1 a_2) a → member (skS.0 3 a a_1 a_2) a_1) False)
% 3.77/3.94 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 3 a a_1 a_2) a) True)
% 3.77/3.94 Clause #22 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 3 a a_1 a_2) a_1) False)
% 3.77/3.94 Clause #23 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Eq (member a_2 a → member a_2 a_1) True)
% 3.77/3.94 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Or (Eq (member a_2 a) False) (Eq (member a_2 a_1) True))
% 3.77/3.94 Clause #25 (by superposition #[24, 13]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.77/3.94 Or (Eq (member a (skS.0 1 a_1 a_2)) False) (Or (Eq (member a (skS.0 2 a_1 a_2 a_3)) True) (Eq False True))
% 3.77/3.94 Clause #28 (by superposition #[14, 24]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (skS.0 0 a_1)) False) (Or (Eq (member a (skS.0 1 a_1 a_2)) True) (Eq False True))
% 3.77/3.94 Clause #31 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (skS.0 0 a_1)) False) (Eq (member a (skS.0 1 a_1 a_2)) True)
% 3.77/3.94 Clause #32 (by superposition #[31, 21]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.77/3.94 Or (Eq (member (skS.0 3 (skS.0 0 a) a_1 a_2) (skS.0 1 a a_3)) True)
% 3.77/3.94 (Or (Eq (subset (skS.0 0 a) a_1) True) (Eq False True))
% 3.77/3.95 Clause #33 (by clausification #[25]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (member a (skS.0 1 a_1 a_2)) False) (Eq (member a (skS.0 2 a_1 a_2 a_3)) True)
% 3.77/3.95 Clause #35 (by clausification #[32]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.77/3.95 Or (Eq (member (skS.0 3 (skS.0 0 a) a_1 a_2) (skS.0 1 a a_3)) True) (Eq (subset (skS.0 0 a) a_1) True)
% 3.77/3.95 Clause #36 (by superposition #[35, 33]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.77/3.95 Or (Eq (subset (skS.0 0 a) a_1) True)
% 3.77/3.95 (Or (Eq True False) (Eq (member (skS.0 3 (skS.0 0 a) a_1 a_2) (skS.0 2 a a_3 a_4)) True))
% 3.77/3.95 Clause #39 (by clausification #[36]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.77/3.95 Or (Eq (subset (skS.0 0 a) a_1) True) (Eq (member (skS.0 3 (skS.0 0 a) a_1 a_2) (skS.0 2 a a_3 a_4)) True)
% 3.77/3.95 Clause #40 (by superposition #[39, 22]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.95 Or (Eq (subset (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 3.77/3.95 (Or (Eq (subset (skS.0 0 a) (skS.0 2 a a_1 a_2)) True) (Eq True False))
% 3.77/3.95 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.95 Or (Eq (subset (skS.0 0 a) (skS.0 2 a a_1 a_2)) True) (Eq (subset (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 3.77/3.95 Clause #42 (by eliminate duplicate literals #[41]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 0 a) (skS.0 2 a a_1 a_2)) True
% 3.77/3.95 Clause #43 (by superposition #[42, 12]): Eq True False
% 3.77/3.95 Clause #45 (by clausification #[43]): False
% 3.77/3.95 SZS output end Proof for theBenchmark.p
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