TSTP Solution File: SEU121+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU121+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 16:40:16 EDT 2023
% Result : Theorem 3.75s 3.95s
% Output : Proof 3.75s
% 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 : SEU121+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 21:46:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.75/3.95 SZS status Theorem for theBenchmark.p
% 3.75/3.95 SZS output start Proof for theBenchmark.p
% 3.75/3.95 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (C : Iota), in C A → in C B)) True
% 3.75/3.95 Clause #7 (by assumption #[]): Eq (Not (∀ (A B C : Iota), And (subset A B) (subset B C) → subset A C)) True
% 3.75/3.95 Clause #27 (by clausification #[7]): Eq (∀ (A B C : Iota), And (subset A B) (subset B C) → subset A C) False
% 3.75/3.95 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Not (∀ (B C : Iota), And (subset (skS.0 2 a) B) (subset B C) → subset (skS.0 2 a) C)) True
% 3.75/3.95 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (B C : Iota), And (subset (skS.0 2 a) B) (subset B C) → subset (skS.0 2 a) C) False
% 3.75/3.95 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota),
% 3.75/3.95 Eq (Not (∀ (C : Iota), And (subset (skS.0 2 a) (skS.0 3 a a_1)) (subset (skS.0 3 a a_1) C) → subset (skS.0 2 a) C))
% 3.75/3.95 True
% 3.75/3.95 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 3.75/3.95 Eq (∀ (C : Iota), And (subset (skS.0 2 a) (skS.0 3 a a_1)) (subset (skS.0 3 a a_1) C) → subset (skS.0 2 a) C) False
% 3.75/3.95 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.95 Eq
% 3.75/3.95 (Not
% 3.75/3.95 (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (subset (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) →
% 3.75/3.95 subset (skS.0 2 a) (skS.0 4 a a_1 a_2)))
% 3.75/3.95 True
% 3.75/3.95 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.95 Eq
% 3.75/3.95 (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (subset (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) →
% 3.75/3.95 subset (skS.0 2 a) (skS.0 4 a a_1 a_2))
% 3.75/3.95 False
% 3.75/3.95 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), Eq (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (subset (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))) True
% 3.75/3.95 Clause #35 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 2 a) (skS.0 4 a a_1 a_2)) False
% 3.75/3.95 Clause #36 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) True
% 3.75/3.95 Clause #37 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True
% 3.75/3.95 Clause #43 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (C : Iota), in C a → in C B)) True
% 3.75/3.95 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (C : Iota), in C a → in C a_1)) True
% 3.75/3.95 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (C : Iota), in C a → in C a_1) False)
% 3.75/3.95 Clause #46 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (∀ (C : Iota), in C a → in C a_1) True)
% 3.75/3.95 Clause #47 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.95 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 5 a a_1 a_2) a → in (skS.0 5 a a_1 a_2) a_1)) True)
% 3.75/3.95 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 5 a a_1 a_2) a → in (skS.0 5 a a_1 a_2) a_1) False)
% 3.75/3.95 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 5 a a_1 a_2) a) True)
% 3.75/3.95 Clause #50 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 5 a a_1 a_2) a_1) False)
% 3.75/3.95 Clause #56 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Eq (in a_2 a → in a_2 a_1) True)
% 3.75/3.95 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Or (Eq (in a_2 a) False) (Eq (in a_2 a_1) True))
% 3.75/3.95 Clause #58 (by superposition #[57, 36]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.75/3.95 Or (Eq (in a (skS.0 3 a_1 a_2)) False) (Or (Eq (in a (skS.0 4 a_1 a_2 a_3)) True) (Eq False True))
% 3.75/3.95 Clause #71 (by superposition #[37, 57]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 2 a_1)) False) (Or (Eq (in a (skS.0 3 a_1 a_2)) True) (Eq False True))
% 3.75/3.95 Clause #78 (by clausification #[71]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 2 a_1)) False) (Eq (in a (skS.0 3 a_1 a_2)) True)
% 3.75/3.95 Clause #79 (by superposition #[78, 49]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.75/3.95 Or (Eq (in (skS.0 5 (skS.0 2 a) a_1 a_2) (skS.0 3 a a_3)) True)
% 3.75/3.95 (Or (Eq (subset (skS.0 2 a) a_1) True) (Eq False True))
% 3.75/3.95 Clause #80 (by clausification #[58]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in a (skS.0 3 a_1 a_2)) False) (Eq (in a (skS.0 4 a_1 a_2 a_3)) True)
% 3.75/3.96 Clause #82 (by clausification #[79]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.75/3.96 Or (Eq (in (skS.0 5 (skS.0 2 a) a_1 a_2) (skS.0 3 a a_3)) True) (Eq (subset (skS.0 2 a) a_1) True)
% 3.75/3.96 Clause #83 (by superposition #[82, 80]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.75/3.96 Or (Eq (subset (skS.0 2 a) a_1) True)
% 3.75/3.96 (Or (Eq True False) (Eq (in (skS.0 5 (skS.0 2 a) a_1 a_2) (skS.0 4 a a_3 a_4)) True))
% 3.75/3.96 Clause #95 (by clausification #[83]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.75/3.96 Or (Eq (subset (skS.0 2 a) a_1) True) (Eq (in (skS.0 5 (skS.0 2 a) a_1 a_2) (skS.0 4 a a_3 a_4)) True)
% 3.75/3.96 Clause #96 (by superposition #[95, 50]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.96 Or (Eq (subset (skS.0 2 a) (skS.0 4 a a_1 a_2)) True)
% 3.75/3.96 (Or (Eq (subset (skS.0 2 a) (skS.0 4 a a_1 a_2)) True) (Eq True False))
% 3.75/3.96 Clause #102 (by clausification #[96]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.96 Or (Eq (subset (skS.0 2 a) (skS.0 4 a a_1 a_2)) True) (Eq (subset (skS.0 2 a) (skS.0 4 a a_1 a_2)) True)
% 3.75/3.96 Clause #103 (by eliminate duplicate literals #[102]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 2 a) (skS.0 4 a a_1 a_2)) True
% 3.75/3.96 Clause #104 (by superposition #[103, 35]): Eq True False
% 3.75/3.96 Clause #106 (by clausification #[104]): False
% 3.75/3.96 SZS output end Proof for theBenchmark.p
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