TSTP Solution File: SEU264+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 16:41:08 EDT 2023
% Result : Theorem 42.45s 42.67s
% Output : Proof 42.45s
% 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 : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n004.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 17:32:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 42.45/42.67 SZS status Theorem for theBenchmark.p
% 42.45/42.67 SZS output start Proof for theBenchmark.p
% 42.45/42.67 Clause #8 (by assumption #[]): Eq (∀ (A B C : Iota), relation_of2_as_subset C A B → And (subset (relation_dom C) A) (subset (relation_rng C) B)) True
% 42.45/42.67 Clause #9 (by assumption #[]): Eq (∀ (A B C D : Iota), relation_of2_as_subset D C A → subset (relation_rng D) B → relation_of2_as_subset D C B) True
% 42.45/42.67 Clause #10 (by assumption #[]): Eq (Not (∀ (A B C D : Iota), relation_of2_as_subset D C A → subset A B → relation_of2_as_subset D C B)) True
% 42.45/42.67 Clause #11 (by assumption #[]): Eq (∀ (A B C : Iota), And (subset A B) (subset B C) → subset A C) True
% 42.45/42.67 Clause #19 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (B C : Iota), And (subset a B) (subset B C) → subset a C) True
% 42.45/42.67 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), And (subset a a_1) (subset a_1 C) → subset a C) True
% 42.45/42.67 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Eq (And (subset a a_1) (subset a_1 a_2) → subset a a_2) True
% 42.45/42.67 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (subset a a_1) (subset a_1 a_2)) False) (Eq (subset a a_2) True)
% 42.45/42.67 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Or (Eq (subset a a_2) False) (Eq (subset a_2 a_1) False))
% 42.45/42.67 Clause #40 (by clausification #[9]): ∀ (a : Iota),
% 42.45/42.67 Eq (∀ (B C D : Iota), relation_of2_as_subset D C a → subset (relation_rng D) B → relation_of2_as_subset D C B) True
% 42.45/42.67 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 42.45/42.67 Eq (∀ (C D : Iota), relation_of2_as_subset D C a → subset (relation_rng D) a_1 → relation_of2_as_subset D C a_1) True
% 42.45/42.67 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 42.45/42.67 Eq (∀ (D : Iota), relation_of2_as_subset D a a_1 → subset (relation_rng D) a_2 → relation_of2_as_subset D a a_2) True
% 42.45/42.67 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 a_3 : Iota),
% 42.45/42.67 Eq (relation_of2_as_subset a a_1 a_2 → subset (relation_rng a) a_3 → relation_of2_as_subset a a_1 a_3) True
% 42.45/42.67 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 a_3 : Iota),
% 42.45/42.67 Or (Eq (relation_of2_as_subset a a_1 a_2) False)
% 42.45/42.67 (Eq (subset (relation_rng a) a_3 → relation_of2_as_subset a a_1 a_3) True)
% 42.45/42.67 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 a_3 : Iota),
% 42.45/42.67 Or (Eq (relation_of2_as_subset a a_1 a_2) False)
% 42.45/42.67 (Or (Eq (subset (relation_rng a) a_3) False) (Eq (relation_of2_as_subset a a_1 a_3) True))
% 42.45/42.67 Clause #65 (by clausification #[8]): ∀ (a : Iota),
% 42.45/42.67 Eq (∀ (B C : Iota), relation_of2_as_subset C a B → And (subset (relation_dom C) a) (subset (relation_rng C) B)) True
% 42.45/42.67 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota),
% 42.45/42.67 Eq (∀ (C : Iota), relation_of2_as_subset C a a_1 → And (subset (relation_dom C) a) (subset (relation_rng C) a_1)) True
% 42.45/42.67 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota),
% 42.45/42.67 Eq (relation_of2_as_subset a a_1 a_2 → And (subset (relation_dom a) a_1) (subset (relation_rng a) a_2)) True
% 42.45/42.67 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota),
% 42.45/42.67 Or (Eq (relation_of2_as_subset a a_1 a_2) False)
% 42.45/42.67 (Eq (And (subset (relation_dom a) a_1) (subset (relation_rng a) a_2)) True)
% 42.45/42.67 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), Or (Eq (relation_of2_as_subset a a_1 a_2) False) (Eq (subset (relation_rng a) a_2) True)
% 42.45/42.67 Clause #73 (by clausification #[10]): Eq (∀ (A B C D : Iota), relation_of2_as_subset D C A → subset A B → relation_of2_as_subset D C B) False
% 42.45/42.67 Clause #74 (by clausification #[73]): ∀ (a : Iota),
% 42.45/42.67 Eq
% 42.45/42.67 (Not
% 42.45/42.67 (∀ (B C D : Iota), relation_of2_as_subset D C (skS.0 3 a) → subset (skS.0 3 a) B → relation_of2_as_subset D C B))
% 42.45/42.67 True
% 42.45/42.67 Clause #75 (by clausification #[74]): ∀ (a : Iota),
% 42.45/42.67 Eq (∀ (B C D : Iota), relation_of2_as_subset D C (skS.0 3 a) → subset (skS.0 3 a) B → relation_of2_as_subset D C B)
% 42.45/42.67 False
% 42.45/42.67 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota),
% 42.45/42.67 Eq
% 42.45/42.67 (Not
% 42.45/42.67 (∀ (C D : Iota),
% 42.45/42.67 relation_of2_as_subset D C (skS.0 3 a) →
% 42.45/42.67 subset (skS.0 3 a) (skS.0 4 a a_1) → relation_of2_as_subset D C (skS.0 4 a a_1)))
% 42.45/42.74 True
% 42.45/42.74 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota),
% 42.45/42.74 Eq
% 42.45/42.74 (∀ (C D : Iota),
% 42.45/42.74 relation_of2_as_subset D C (skS.0 3 a) →
% 42.45/42.74 subset (skS.0 3 a) (skS.0 4 a a_1) → relation_of2_as_subset D C (skS.0 4 a a_1))
% 42.45/42.74 False
% 42.45/42.74 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 : Iota),
% 42.45/42.74 Eq
% 42.45/42.74 (Not
% 42.45/42.74 (∀ (D : Iota),
% 42.45/42.74 relation_of2_as_subset D (skS.0 5 a a_1 a_2) (skS.0 3 a) →
% 42.45/42.74 subset (skS.0 3 a) (skS.0 4 a a_1) → relation_of2_as_subset D (skS.0 5 a a_1 a_2) (skS.0 4 a a_1)))
% 42.45/42.74 True
% 42.45/42.74 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota),
% 42.45/42.74 Eq
% 42.45/42.74 (∀ (D : Iota),
% 42.45/42.74 relation_of2_as_subset D (skS.0 5 a a_1 a_2) (skS.0 3 a) →
% 42.45/42.74 subset (skS.0 3 a) (skS.0 4 a a_1) → relation_of2_as_subset D (skS.0 5 a a_1 a_2) (skS.0 4 a a_1))
% 42.45/42.74 False
% 42.45/42.74 Clause #80 (by clausification #[79]): ∀ (a a_1 a_2 a_3 : Iota),
% 42.45/42.74 Eq
% 42.45/42.74 (Not
% 42.45/42.74 (relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 3 a) →
% 42.45/42.74 subset (skS.0 3 a) (skS.0 4 a a_1) →
% 42.45/42.74 relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 4 a a_1)))
% 42.45/42.74 True
% 42.45/42.74 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 a_3 : Iota),
% 42.45/42.74 Eq
% 42.45/42.74 (relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 3 a) →
% 42.45/42.74 subset (skS.0 3 a) (skS.0 4 a a_1) →
% 42.45/42.74 relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 4 a a_1))
% 42.45/42.74 False
% 42.45/42.74 Clause #82 (by clausification #[81]): ∀ (a a_1 a_2 a_3 : Iota), Eq (relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 3 a)) True
% 42.45/42.74 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 a_3 : Iota),
% 42.45/42.74 Eq
% 42.45/42.74 (subset (skS.0 3 a) (skS.0 4 a a_1) →
% 42.45/42.74 relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 4 a a_1))
% 42.45/42.74 False
% 42.45/42.74 Clause #85 (by superposition #[82, 45]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 42.45/42.74 Or (Eq True False)
% 42.45/42.74 (Or (Eq (subset (relation_rng (skS.0 6 a a_1 a_2 a_3)) a_4) False)
% 42.45/42.74 (Eq (relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) a_4) True))
% 42.45/42.74 Clause #87 (by superposition #[82, 69]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (subset (relation_rng (skS.0 6 a a_1 a_2 a_3)) (skS.0 3 a)) True)
% 42.45/42.74 Clause #121 (by clausification #[83]): ∀ (a a_1 : Iota), Eq (subset (skS.0 3 a) (skS.0 4 a a_1)) True
% 42.45/42.74 Clause #122 (by clausification #[83]): ∀ (a a_1 a_2 a_3 : Iota), Eq (relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 4 a a_1)) False
% 42.45/42.74 Clause #143 (by clausification #[85]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 42.45/42.74 Or (Eq (subset (relation_rng (skS.0 6 a a_1 a_2 a_3)) a_4) False)
% 42.45/42.74 (Eq (relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) a_4) True)
% 42.45/42.74 Clause #168 (by clausification #[87]): ∀ (a a_1 a_2 a_3 : Iota), Eq (subset (relation_rng (skS.0 6 a a_1 a_2 a_3)) (skS.0 3 a)) True
% 42.45/42.74 Clause #170 (by superposition #[168, 23]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 42.45/42.74 Or (Eq (subset (relation_rng (skS.0 6 a a_1 a_2 a_3)) a_4) True)
% 42.45/42.74 (Or (Eq True False) (Eq (subset (skS.0 3 a) a_4) False))
% 42.45/42.74 Clause #387 (by clausification #[170]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 42.45/42.74 Or (Eq (subset (relation_rng (skS.0 6 a a_1 a_2 a_3)) a_4) True) (Eq (subset (skS.0 3 a) a_4) False)
% 42.45/42.74 Clause #388 (by superposition #[387, 121]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 42.45/42.74 Or (Eq (subset (relation_rng (skS.0 6 a a_1 a_2 a_3)) (skS.0 4 a a_4)) True) (Eq False True)
% 42.45/42.74 Clause #390 (by clausification #[388]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (subset (relation_rng (skS.0 6 a a_1 a_2 a_3)) (skS.0 4 a a_4)) True
% 42.45/42.74 Clause #391 (by superposition #[390, 143]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 42.45/42.74 Or (Eq True False) (Eq (relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 4 a a_4)) True)
% 42.45/42.74 Clause #6056 (by clausification #[391]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 42.45/42.74 Eq (relation_of2_as_subset (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2) (skS.0 4 a a_4)) True
% 42.45/42.74 Clause #6057 (by superposition #[6056, 122]): Eq True False
% 42.45/42.74 Clause #6060 (by clausification #[6057]): False
% 42.45/42.74 SZS output end Proof for theBenchmark.p
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