TSTP Solution File: SEU303+3 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU303+3 : TPTP v8.1.2. Released v3.2.0.
% 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 16:41:20 EDT 2023
% Result : Theorem 21.08s 21.35s
% Output : Proof 21.08s
% 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 : SEU303+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 14:58:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 21.08/21.35 SZS status Theorem for theBenchmark.p
% 21.08/21.35 SZS output start Proof for theBenchmark.p
% 21.08/21.35 Clause #14 (by assumption #[]): Eq (∀ (A B : Iota), And (And (relation A) (function A)) (finite B) → finite (relation_image A B)) True
% 21.08/21.35 Clause #52 (by assumption #[]): Eq (∀ (A : Iota), relation A → Eq (relation_image A (relation_dom A)) (relation_rng A)) True
% 21.08/21.35 Clause #55 (by assumption #[]): Eq (Not (∀ (A : Iota), And (relation A) (function A) → finite (relation_dom A) → finite (relation_rng A))) True
% 21.08/21.35 Clause #144 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B : Iota), And (And (relation a) (function a)) (finite B) → finite (relation_image a B)) True
% 21.08/21.35 Clause #145 (by clausification #[144]): ∀ (a a_1 : Iota), Eq (And (And (relation a) (function a)) (finite a_1) → finite (relation_image a a_1)) True
% 21.08/21.35 Clause #146 (by clausification #[145]): ∀ (a a_1 : Iota),
% 21.08/21.35 Or (Eq (And (And (relation a) (function a)) (finite a_1)) False) (Eq (finite (relation_image a a_1)) True)
% 21.08/21.35 Clause #147 (by clausification #[146]): ∀ (a a_1 : Iota),
% 21.08/21.35 Or (Eq (finite (relation_image a a_1)) True) (Or (Eq (And (relation a) (function a)) False) (Eq (finite a_1) False))
% 21.08/21.35 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota),
% 21.08/21.35 Or (Eq (finite (relation_image a a_1)) True)
% 21.08/21.35 (Or (Eq (finite a_1) False) (Or (Eq (relation a) False) (Eq (function a) False)))
% 21.08/21.35 Clause #163 (by clausification #[55]): Eq (∀ (A : Iota), And (relation A) (function A) → finite (relation_dom A) → finite (relation_rng A)) False
% 21.08/21.35 Clause #164 (by clausification #[163]): ∀ (a : Iota),
% 21.08/21.35 Eq
% 21.08/21.35 (Not
% 21.08/21.35 (And (relation (skS.0 3 a)) (function (skS.0 3 a)) →
% 21.08/21.35 finite (relation_dom (skS.0 3 a)) → finite (relation_rng (skS.0 3 a))))
% 21.08/21.35 True
% 21.08/21.35 Clause #165 (by clausification #[164]): ∀ (a : Iota),
% 21.08/21.35 Eq
% 21.08/21.35 (And (relation (skS.0 3 a)) (function (skS.0 3 a)) →
% 21.08/21.35 finite (relation_dom (skS.0 3 a)) → finite (relation_rng (skS.0 3 a)))
% 21.08/21.35 False
% 21.08/21.35 Clause #166 (by clausification #[165]): ∀ (a : Iota), Eq (And (relation (skS.0 3 a)) (function (skS.0 3 a))) True
% 21.08/21.35 Clause #167 (by clausification #[165]): ∀ (a : Iota), Eq (finite (relation_dom (skS.0 3 a)) → finite (relation_rng (skS.0 3 a))) False
% 21.08/21.35 Clause #168 (by clausification #[166]): ∀ (a : Iota), Eq (function (skS.0 3 a)) True
% 21.08/21.35 Clause #169 (by clausification #[166]): ∀ (a : Iota), Eq (relation (skS.0 3 a)) True
% 21.08/21.35 Clause #363 (by clausification #[167]): ∀ (a : Iota), Eq (finite (relation_dom (skS.0 3 a))) True
% 21.08/21.35 Clause #364 (by clausification #[167]): ∀ (a : Iota), Eq (finite (relation_rng (skS.0 3 a))) False
% 21.08/21.35 Clause #366 (by superposition #[363, 148]): ∀ (a a_1 : Iota),
% 21.08/21.35 Or (Eq (finite (relation_image a (relation_dom (skS.0 3 a_1)))) True)
% 21.08/21.35 (Or (Eq True False) (Or (Eq (relation a) False) (Eq (function a) False)))
% 21.08/21.35 Clause #433 (by clausification #[52]): ∀ (a : Iota), Eq (relation a → Eq (relation_image a (relation_dom a)) (relation_rng a)) True
% 21.08/21.35 Clause #434 (by clausification #[433]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (Eq (relation_image a (relation_dom a)) (relation_rng a)) True)
% 21.08/21.35 Clause #435 (by clausification #[434]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (relation_image a (relation_dom a)) (relation_rng a))
% 21.08/21.35 Clause #437 (by superposition #[435, 169]): ∀ (a : Iota), Or (Eq (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a))) (relation_rng (skS.0 3 a))) (Eq False True)
% 21.08/21.35 Clause #929 (by clausification #[366]): ∀ (a a_1 : Iota),
% 21.08/21.35 Or (Eq (finite (relation_image a (relation_dom (skS.0 3 a_1)))) True)
% 21.08/21.35 (Or (Eq (relation a) False) (Eq (function a) False))
% 21.08/21.35 Clause #931 (by superposition #[929, 169]): ∀ (a a_1 : Iota),
% 21.08/21.35 Or (Eq (finite (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a_1)))) True)
% 21.08/21.35 (Or (Eq (function (skS.0 3 a)) False) (Eq False True))
% 21.08/21.35 Clause #1057 (by clausification #[437]): ∀ (a : Iota), Eq (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a))) (relation_rng (skS.0 3 a))
% 21.08/21.35 Clause #2201 (by clausification #[931]): ∀ (a a_1 : Iota),
% 21.08/21.35 Or (Eq (finite (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a_1)))) True) (Eq (function (skS.0 3 a)) False)
% 21.08/21.35 Clause #2202 (by forward demodulation #[2201, 168]): ∀ (a a_1 : Iota), Or (Eq (finite (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a_1)))) True) (Eq True False)
% 21.08/21.36 Clause #2203 (by clausification #[2202]): ∀ (a a_1 : Iota), Eq (finite (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a_1)))) True
% 21.08/21.36 Clause #2206 (by superposition #[2203, 1057]): ∀ (a : Iota), Eq (finite (relation_rng (skS.0 3 a))) True
% 21.08/21.36 Clause #2207 (by superposition #[2206, 364]): Eq True False
% 21.08/21.36 Clause #2210 (by clausification #[2207]): False
% 21.08/21.36 SZS output end Proof for theBenchmark.p
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