TSTP Solution File: SEU198+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU198+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 16:40:45 EDT 2023
% Result : Theorem 59.45s 59.60s
% Output : Proof 59.52s
% 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 : SEU198+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Aug 23 18:48:07 EDT 2023
% 0.14/0.33 % CPUTime :
% 59.45/59.60 SZS status Theorem for theBenchmark.p
% 59.45/59.60 SZS output start Proof for theBenchmark.p
% 59.45/59.60 Clause #2 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (C : Iota), in C A → in C B)) True
% 59.45/59.60 Clause #18 (by assumption #[]): Eq
% 59.45/59.60 (∀ (A B C : Iota),
% 59.45/59.60 relation C → Iff (in A (relation_rng (relation_rng_restriction B C))) (And (in A B) (in A (relation_rng C))))
% 59.45/59.60 True
% 59.45/59.60 Clause #19 (by assumption #[]): Eq (Not (∀ (A B : Iota), relation B → subset (relation_rng (relation_rng_restriction A B)) A)) True
% 59.45/59.60 Clause #51 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (C : Iota), in C a → in C B)) True
% 59.45/59.60 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (C : Iota), in C a → in C a_1)) True
% 59.45/59.60 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (C : Iota), in C a → in C a_1) False)
% 59.45/59.60 Clause #55 (by clausification #[53]): ∀ (a a_1 a_2 : Iota),
% 59.45/59.60 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 2 a a_1 a_2) a → in (skS.0 2 a a_1 a_2) a_1)) True)
% 59.45/59.60 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 2 a a_1 a_2) a → in (skS.0 2 a a_1 a_2) a_1) False)
% 59.45/59.60 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 2 a a_1 a_2) a) True)
% 59.45/59.60 Clause #58 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 2 a a_1 a_2) a_1) False)
% 59.45/59.60 Clause #162 (by clausification #[18]): ∀ (a : Iota),
% 59.45/59.60 Eq
% 59.45/59.60 (∀ (B C : Iota),
% 59.45/59.60 relation C → Iff (in a (relation_rng (relation_rng_restriction B C))) (And (in a B) (in a (relation_rng C))))
% 59.45/59.60 True
% 59.45/59.60 Clause #163 (by clausification #[162]): ∀ (a a_1 : Iota),
% 59.45/59.60 Eq
% 59.45/59.60 (∀ (C : Iota),
% 59.45/59.60 relation C → Iff (in a (relation_rng (relation_rng_restriction a_1 C))) (And (in a a_1) (in a (relation_rng C))))
% 59.45/59.60 True
% 59.45/59.60 Clause #164 (by clausification #[163]): ∀ (a a_1 a_2 : Iota),
% 59.45/59.60 Eq
% 59.45/59.60 (relation a →
% 59.45/59.60 Iff (in a_1 (relation_rng (relation_rng_restriction a_2 a))) (And (in a_1 a_2) (in a_1 (relation_rng a))))
% 59.45/59.60 True
% 59.45/59.60 Clause #165 (by clausification #[164]): ∀ (a a_1 a_2 : Iota),
% 59.45/59.60 Or (Eq (relation a) False)
% 59.45/59.60 (Eq (Iff (in a_1 (relation_rng (relation_rng_restriction a_2 a))) (And (in a_1 a_2) (in a_1 (relation_rng a))))
% 59.45/59.60 True)
% 59.45/59.60 Clause #167 (by clausification #[165]): ∀ (a a_1 a_2 : Iota),
% 59.45/59.60 Or (Eq (relation a) False)
% 59.45/59.60 (Or (Eq (in a_1 (relation_rng (relation_rng_restriction a_2 a))) False)
% 59.45/59.60 (Eq (And (in a_1 a_2) (in a_1 (relation_rng a))) True))
% 59.45/59.60 Clause #177 (by clausification #[19]): Eq (∀ (A B : Iota), relation B → subset (relation_rng (relation_rng_restriction A B)) A) False
% 59.45/59.60 Clause #178 (by clausification #[177]): ∀ (a : Iota),
% 59.45/59.60 Eq (Not (∀ (B : Iota), relation B → subset (relation_rng (relation_rng_restriction (skS.0 8 a) B)) (skS.0 8 a))) True
% 59.45/59.60 Clause #179 (by clausification #[178]): ∀ (a : Iota),
% 59.45/59.60 Eq (∀ (B : Iota), relation B → subset (relation_rng (relation_rng_restriction (skS.0 8 a) B)) (skS.0 8 a)) False
% 59.45/59.60 Clause #180 (by clausification #[179]): ∀ (a a_1 : Iota),
% 59.45/59.60 Eq
% 59.45/59.60 (Not
% 59.45/59.60 (relation (skS.0 9 a a_1) →
% 59.45/59.60 subset (relation_rng (relation_rng_restriction (skS.0 8 a) (skS.0 9 a a_1))) (skS.0 8 a)))
% 59.45/59.60 True
% 59.45/59.60 Clause #181 (by clausification #[180]): ∀ (a a_1 : Iota),
% 59.45/59.60 Eq
% 59.45/59.60 (relation (skS.0 9 a a_1) →
% 59.45/59.60 subset (relation_rng (relation_rng_restriction (skS.0 8 a) (skS.0 9 a a_1))) (skS.0 8 a))
% 59.45/59.60 False
% 59.45/59.60 Clause #182 (by clausification #[181]): ∀ (a a_1 : Iota), Eq (relation (skS.0 9 a a_1)) True
% 59.45/59.60 Clause #183 (by clausification #[181]): ∀ (a a_1 : Iota), Eq (subset (relation_rng (relation_rng_restriction (skS.0 8 a) (skS.0 9 a a_1))) (skS.0 8 a)) False
% 59.45/59.60 Clause #337 (by clausification #[167]): ∀ (a a_1 a_2 : Iota),
% 59.45/59.60 Or (Eq (relation a) False)
% 59.45/59.60 (Or (Eq (in a_1 (relation_rng (relation_rng_restriction a_2 a))) False) (Eq (in a_1 a_2) True))
% 59.45/59.60 Clause #358 (by superposition #[337, 182]): ∀ (a a_1 a_2 a_3 : Iota),
% 59.45/59.60 Or (Eq (in a (relation_rng (relation_rng_restriction a_1 (skS.0 9 a_2 a_3)))) False)
% 59.52/59.69 (Or (Eq (in a a_1) True) (Eq False True))
% 59.52/59.69 Clause #554 (by clausification #[358]): ∀ (a a_1 a_2 a_3 : Iota),
% 59.52/59.69 Or (Eq (in a (relation_rng (relation_rng_restriction a_1 (skS.0 9 a_2 a_3)))) False) (Eq (in a a_1) True)
% 59.52/59.69 Clause #555 (by superposition #[554, 57]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 59.52/59.69 Or (Eq (in (skS.0 2 (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a_3 a_4) a) True)
% 59.52/59.69 (Or (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a_3) True) (Eq False True))
% 59.52/59.69 Clause #2617 (by clausification #[555]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 59.52/59.69 Or (Eq (in (skS.0 2 (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a_3 a_4) a) True)
% 59.52/59.69 (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a_3) True)
% 59.52/59.69 Clause #2655 (by superposition #[2617, 58]): ∀ (a a_1 a_2 : Iota),
% 59.52/59.69 Or (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a) True)
% 59.52/59.69 (Or (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a) True) (Eq True False))
% 59.52/59.69 Clause #8986 (by clausification #[2655]): ∀ (a a_1 a_2 : Iota),
% 59.52/59.69 Or (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a) True)
% 59.52/59.69 (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a) True)
% 59.52/59.69 Clause #8987 (by eliminate duplicate literals #[8986]): ∀ (a a_1 a_2 : Iota), Eq (subset (relation_rng (relation_rng_restriction a (skS.0 9 a_1 a_2))) a) True
% 59.52/59.69 Clause #8988 (by superposition #[8987, 183]): Eq True False
% 59.52/59.69 Clause #8991 (by clausification #[8988]): False
% 59.52/59.69 SZS output end Proof for theBenchmark.p
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