TSTP Solution File: SEU303+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 6.00s 6.54s
% Output : Proof 6.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.33 % Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.34 % Command : duper %s
% 0.17/0.56 % Computer : n009.cluster.edu
% 0.17/0.56 % Model : x86_64 x86_64
% 0.17/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.56 % Memory : 8042.1875MB
% 0.17/0.56 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.56 % CPULimit : 300
% 0.17/0.56 % WCLimit : 300
% 0.17/0.56 % DateTime : Wed Aug 23 12:08:08 EDT 2023
% 0.17/0.56 % CPUTime :
% 6.00/6.54 SZS status Theorem for theBenchmark.p
% 6.00/6.54 SZS output start Proof for theBenchmark.p
% 6.00/6.54 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), And (And (relation A) (function A)) (finite B) → finite (relation_image A B)) True
% 6.00/6.54 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), relation A → Eq (relation_image A (relation_dom A)) (relation_rng A)) True
% 6.00/6.54 Clause #5 (by assumption #[]): Eq (Not (∀ (A : Iota), And (relation A) (function A) → finite (relation_dom A) → finite (relation_rng A))) True
% 6.00/6.54 Clause #6 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), And (And (relation a) (function a)) (finite B) → finite (relation_image a B)) True
% 6.00/6.54 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (And (And (relation a) (function a)) (finite a_1) → finite (relation_image a a_1)) True
% 6.00/6.54 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 6.00/6.54 Or (Eq (And (And (relation a) (function a)) (finite a_1)) False) (Eq (finite (relation_image a a_1)) True)
% 6.00/6.54 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota),
% 6.00/6.54 Or (Eq (finite (relation_image a a_1)) True) (Or (Eq (And (relation a) (function a)) False) (Eq (finite a_1) False))
% 6.00/6.54 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota),
% 6.00/6.54 Or (Eq (finite (relation_image a a_1)) True)
% 6.00/6.54 (Or (Eq (finite a_1) False) (Or (Eq (relation a) False) (Eq (function a) False)))
% 6.00/6.54 Clause #11 (by clausification #[5]): Eq (∀ (A : Iota), And (relation A) (function A) → finite (relation_dom A) → finite (relation_rng A)) False
% 6.00/6.54 Clause #12 (by clausification #[11]): ∀ (a : Iota),
% 6.00/6.54 Eq
% 6.00/6.54 (Not
% 6.00/6.54 (And (relation (skS.0 0 a)) (function (skS.0 0 a)) →
% 6.00/6.54 finite (relation_dom (skS.0 0 a)) → finite (relation_rng (skS.0 0 a))))
% 6.00/6.54 True
% 6.00/6.54 Clause #13 (by clausification #[12]): ∀ (a : Iota),
% 6.00/6.54 Eq
% 6.00/6.54 (And (relation (skS.0 0 a)) (function (skS.0 0 a)) →
% 6.00/6.54 finite (relation_dom (skS.0 0 a)) → finite (relation_rng (skS.0 0 a)))
% 6.00/6.54 False
% 6.00/6.54 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (And (relation (skS.0 0 a)) (function (skS.0 0 a))) True
% 6.00/6.54 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (finite (relation_dom (skS.0 0 a)) → finite (relation_rng (skS.0 0 a))) False
% 6.00/6.54 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (function (skS.0 0 a)) True
% 6.00/6.54 Clause #17 (by clausification #[14]): ∀ (a : Iota), Eq (relation (skS.0 0 a)) True
% 6.00/6.54 Clause #21 (by clausification #[3]): ∀ (a : Iota), Eq (relation a → Eq (relation_image a (relation_dom a)) (relation_rng a)) True
% 6.00/6.54 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (Eq (relation_image a (relation_dom a)) (relation_rng a)) True)
% 6.00/6.54 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (relation_image a (relation_dom a)) (relation_rng a))
% 6.00/6.54 Clause #24 (by superposition #[23, 17]): ∀ (a : Iota), Or (Eq (relation_image (skS.0 0 a) (relation_dom (skS.0 0 a))) (relation_rng (skS.0 0 a))) (Eq False True)
% 6.00/6.54 Clause #31 (by clausification #[15]): ∀ (a : Iota), Eq (finite (relation_dom (skS.0 0 a))) True
% 6.00/6.54 Clause #32 (by clausification #[15]): ∀ (a : Iota), Eq (finite (relation_rng (skS.0 0 a))) False
% 6.00/6.54 Clause #33 (by superposition #[31, 10]): ∀ (a a_1 : Iota),
% 6.00/6.54 Or (Eq (finite (relation_image a (relation_dom (skS.0 0 a_1)))) True)
% 6.00/6.54 (Or (Eq True False) (Or (Eq (relation a) False) (Eq (function a) False)))
% 6.00/6.54 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 6.00/6.54 Or (Eq (finite (relation_image a (relation_dom (skS.0 0 a_1)))) True)
% 6.00/6.54 (Or (Eq (relation a) False) (Eq (function a) False))
% 6.00/6.54 Clause #35 (by superposition #[34, 17]): ∀ (a a_1 : Iota),
% 6.00/6.54 Or (Eq (finite (relation_image (skS.0 0 a) (relation_dom (skS.0 0 a_1)))) True)
% 6.00/6.54 (Or (Eq (function (skS.0 0 a)) False) (Eq False True))
% 6.00/6.54 Clause #37 (by clausification #[24]): ∀ (a : Iota), Eq (relation_image (skS.0 0 a) (relation_dom (skS.0 0 a))) (relation_rng (skS.0 0 a))
% 6.00/6.54 Clause #39 (by clausification #[35]): ∀ (a a_1 : Iota),
% 6.00/6.54 Or (Eq (finite (relation_image (skS.0 0 a) (relation_dom (skS.0 0 a_1)))) True) (Eq (function (skS.0 0 a)) False)
% 6.00/6.54 Clause #40 (by forward demodulation #[39, 16]): ∀ (a a_1 : Iota), Or (Eq (finite (relation_image (skS.0 0 a) (relation_dom (skS.0 0 a_1)))) True) (Eq True False)
% 6.00/6.54 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Eq (finite (relation_image (skS.0 0 a) (relation_dom (skS.0 0 a_1)))) True
% 6.00/6.54 Clause #43 (by superposition #[41, 37]): ∀ (a : Iota), Eq (finite (relation_rng (skS.0 0 a))) True
% 6.00/6.54 Clause #44 (by superposition #[43, 32]): Eq True False
% 6.00/6.54 Clause #46 (by clausification #[44]): False
% 6.00/6.54 SZS output end Proof for theBenchmark.p
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