TSTP Solution File: SEU040+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU040+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 16:40:05 EDT 2023
% Result : Theorem 11.92s 12.10s
% Output : Proof 11.92s
% 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 : SEU040+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n001.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 13:24:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 11.92/12.10 SZS status Theorem for theBenchmark.p
% 11.92/12.10 SZS output start Proof for theBenchmark.p
% 11.92/12.10 Clause #35 (by assumption #[]): Eq
% 11.92/12.10 (Not
% 11.92/12.10 (∀ (A B : Iota),
% 11.92/12.10 And (relation B) (function B) →
% 11.92/12.10 And (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))
% 11.92/12.10 (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))
% 11.92/12.10 True
% 11.92/12.10 Clause #36 (by assumption #[]): Eq (∀ (A B : Iota), relation B → subset (relation_dom (relation_dom_restriction B A)) (relation_dom B)) True
% 11.92/12.10 Clause #37 (by assumption #[]): Eq (∀ (A B : Iota), relation B → subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)) True
% 11.92/12.10 Clause #278 (by clausification #[37]): ∀ (a : Iota), Eq (∀ (B : Iota), relation B → subset (relation_rng (relation_dom_restriction B a)) (relation_rng B)) True
% 11.92/12.10 Clause #279 (by clausification #[278]): ∀ (a a_1 : Iota), Eq (relation a → subset (relation_rng (relation_dom_restriction a a_1)) (relation_rng a)) True
% 11.92/12.10 Clause #280 (by clausification #[279]): ∀ (a a_1 : Iota),
% 11.92/12.10 Or (Eq (relation a) False) (Eq (subset (relation_rng (relation_dom_restriction a a_1)) (relation_rng a)) True)
% 11.92/12.10 Clause #290 (by clausification #[36]): ∀ (a : Iota), Eq (∀ (B : Iota), relation B → subset (relation_dom (relation_dom_restriction B a)) (relation_dom B)) True
% 11.92/12.10 Clause #291 (by clausification #[290]): ∀ (a a_1 : Iota), Eq (relation a → subset (relation_dom (relation_dom_restriction a a_1)) (relation_dom a)) True
% 11.92/12.10 Clause #292 (by clausification #[291]): ∀ (a a_1 : Iota),
% 11.92/12.10 Or (Eq (relation a) False) (Eq (subset (relation_dom (relation_dom_restriction a a_1)) (relation_dom a)) True)
% 11.92/12.10 Clause #343 (by clausification #[35]): Eq
% 11.92/12.10 (∀ (A B : Iota),
% 11.92/12.10 And (relation B) (function B) →
% 11.92/12.10 And (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))
% 11.92/12.10 (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)))
% 11.92/12.10 False
% 11.92/12.10 Clause #344 (by clausification #[343]): ∀ (a : Iota),
% 11.92/12.10 Eq
% 11.92/12.10 (Not
% 11.92/12.10 (∀ (B : Iota),
% 11.92/12.10 And (relation B) (function B) →
% 11.92/12.10 And (subset (relation_dom (relation_dom_restriction B (skS.0 11 a))) (relation_dom B))
% 11.92/12.10 (subset (relation_rng (relation_dom_restriction B (skS.0 11 a))) (relation_rng B))))
% 11.92/12.10 True
% 11.92/12.10 Clause #345 (by clausification #[344]): ∀ (a : Iota),
% 11.92/12.10 Eq
% 11.92/12.10 (∀ (B : Iota),
% 11.92/12.10 And (relation B) (function B) →
% 11.92/12.10 And (subset (relation_dom (relation_dom_restriction B (skS.0 11 a))) (relation_dom B))
% 11.92/12.10 (subset (relation_rng (relation_dom_restriction B (skS.0 11 a))) (relation_rng B)))
% 11.92/12.10 False
% 11.92/12.10 Clause #346 (by clausification #[345]): ∀ (a a_1 : Iota),
% 11.92/12.10 Eq
% 11.92/12.10 (Not
% 11.92/12.10 (And (relation (skS.0 12 a a_1)) (function (skS.0 12 a a_1)) →
% 11.92/12.10 And
% 11.92/12.10 (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a)))
% 11.92/12.10 (relation_dom (skS.0 12 a a_1)))
% 11.92/12.10 (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a)))
% 11.92/12.10 (relation_rng (skS.0 12 a a_1)))))
% 11.92/12.10 True
% 11.92/12.10 Clause #347 (by clausification #[346]): ∀ (a a_1 : Iota),
% 11.92/12.10 Eq
% 11.92/12.10 (And (relation (skS.0 12 a a_1)) (function (skS.0 12 a a_1)) →
% 11.92/12.10 And
% 11.92/12.10 (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1)))
% 11.92/12.10 (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a)))
% 11.92/12.10 (relation_rng (skS.0 12 a a_1))))
% 11.92/12.10 False
% 11.92/12.10 Clause #348 (by clausification #[347]): ∀ (a a_1 : Iota), Eq (And (relation (skS.0 12 a a_1)) (function (skS.0 12 a a_1))) True
% 11.92/12.10 Clause #349 (by clausification #[347]): ∀ (a a_1 : Iota),
% 11.92/12.10 Eq
% 11.92/12.10 (And
% 11.92/12.10 (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1)))
% 11.92/12.10 (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_rng (skS.0 12 a a_1))))
% 11.92/12.10 False
% 11.92/12.10 Clause #351 (by clausification #[348]): ∀ (a a_1 : Iota), Eq (relation (skS.0 12 a a_1)) True
% 11.92/12.10 Clause #358 (by superposition #[351, 280]): ∀ (a a_1 a_2 : Iota),
% 11.92/12.10 Or (Eq True False)
% 11.92/12.10 (Eq (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) a_2)) (relation_rng (skS.0 12 a a_1))) True)
% 11.92/12.11 Clause #359 (by superposition #[351, 292]): ∀ (a a_1 a_2 : Iota),
% 11.92/12.11 Or (Eq True False)
% 11.92/12.11 (Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) a_2)) (relation_dom (skS.0 12 a a_1))) True)
% 11.92/12.11 Clause #951 (by clausification #[349]): ∀ (a a_1 : Iota),
% 11.92/12.11 Or
% 11.92/12.11 (Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1)))
% 11.92/12.11 False)
% 11.92/12.11 (Eq (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_rng (skS.0 12 a a_1)))
% 11.92/12.11 False)
% 11.92/12.11 Clause #1051 (by clausification #[358]): ∀ (a a_1 a_2 : Iota),
% 11.92/12.11 Eq (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) a_2)) (relation_rng (skS.0 12 a a_1))) True
% 11.92/12.11 Clause #1052 (by backward demodulation #[1051, 951]): ∀ (a a_1 : Iota),
% 11.92/12.11 Or
% 11.92/12.11 (Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1)))
% 11.92/12.11 False)
% 11.92/12.11 (Eq True False)
% 11.92/12.11 Clause #1062 (by clausification #[359]): ∀ (a a_1 a_2 : Iota),
% 11.92/12.11 Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) a_2)) (relation_dom (skS.0 12 a a_1))) True
% 11.92/12.11 Clause #1338 (by clausification #[1052]): ∀ (a a_1 : Iota),
% 11.92/12.11 Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1)))
% 11.92/12.11 False
% 11.92/12.11 Clause #1339 (by superposition #[1338, 1062]): Eq False True
% 11.92/12.11 Clause #1340 (by clausification #[1339]): False
% 11.92/12.11 SZS output end Proof for theBenchmark.p
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