TSTP Solution File: SEU200+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU200+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 59.97s 60.17s
% Output : Proof 60.04s
% 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 : SEU200+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.34 % Computer : n005.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 : Thu Aug 24 01:35:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 59.97/60.17 SZS status Theorem for theBenchmark.p
% 59.97/60.17 SZS output start Proof for theBenchmark.p
% 59.97/60.17 Clause #3 (by assumption #[]): Eq (∀ (A B : Iota), relation B → relation (relation_rng_restriction A B)) True
% 59.97/60.17 Clause #19 (by assumption #[]): Eq (∀ (A B : Iota), relation B → subset (relation_rng_restriction A B) B) True
% 59.97/60.17 Clause #20 (by assumption #[]): Eq (Not (∀ (A B : Iota), relation B → subset (relation_rng (relation_rng_restriction A B)) (relation_rng B))) True
% 59.97/60.17 Clause #22 (by assumption #[]): Eq
% 59.97/60.17 (∀ (A : Iota),
% 59.97/60.17 relation A →
% 59.97/60.17 ∀ (B : Iota),
% 59.97/60.17 relation B →
% 59.97/60.17 subset A B → And (subset (relation_dom A) (relation_dom B)) (subset (relation_rng A) (relation_rng B)))
% 59.97/60.17 True
% 59.97/60.17 Clause #50 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B : Iota), relation B → relation (relation_rng_restriction a B)) True
% 59.97/60.17 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (relation a → relation (relation_rng_restriction a_1 a)) True
% 59.97/60.17 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (relation a) False) (Eq (relation (relation_rng_restriction a_1 a)) True)
% 59.97/60.17 Clause #91 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (B : Iota), relation B → subset (relation_rng_restriction a B) B) True
% 59.97/60.17 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota), Eq (relation a → subset (relation_rng_restriction a_1 a) a) True
% 59.97/60.17 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (relation a) False) (Eq (subset (relation_rng_restriction a_1 a) a) True)
% 59.97/60.17 Clause #206 (by clausification #[20]): Eq (∀ (A B : Iota), relation B → subset (relation_rng (relation_rng_restriction A B)) (relation_rng B)) False
% 59.97/60.17 Clause #207 (by clausification #[206]): ∀ (a : Iota),
% 59.97/60.17 Eq (Not (∀ (B : Iota), relation B → subset (relation_rng (relation_rng_restriction (skS.0 7 a) B)) (relation_rng B)))
% 59.97/60.17 True
% 59.97/60.17 Clause #208 (by clausification #[207]): ∀ (a : Iota),
% 59.97/60.17 Eq (∀ (B : Iota), relation B → subset (relation_rng (relation_rng_restriction (skS.0 7 a) B)) (relation_rng B)) False
% 59.97/60.17 Clause #209 (by clausification #[208]): ∀ (a a_1 : Iota),
% 59.97/60.17 Eq
% 59.97/60.17 (Not
% 59.97/60.17 (relation (skS.0 8 a a_1) →
% 59.97/60.17 subset (relation_rng (relation_rng_restriction (skS.0 7 a) (skS.0 8 a a_1))) (relation_rng (skS.0 8 a a_1))))
% 59.97/60.17 True
% 59.97/60.17 Clause #210 (by clausification #[209]): ∀ (a a_1 : Iota),
% 59.97/60.17 Eq
% 59.97/60.17 (relation (skS.0 8 a a_1) →
% 59.97/60.17 subset (relation_rng (relation_rng_restriction (skS.0 7 a) (skS.0 8 a a_1))) (relation_rng (skS.0 8 a a_1)))
% 59.97/60.17 False
% 59.97/60.17 Clause #211 (by clausification #[210]): ∀ (a a_1 : Iota), Eq (relation (skS.0 8 a a_1)) True
% 59.97/60.17 Clause #212 (by clausification #[210]): ∀ (a a_1 : Iota),
% 59.97/60.17 Eq (subset (relation_rng (relation_rng_restriction (skS.0 7 a) (skS.0 8 a a_1))) (relation_rng (skS.0 8 a a_1))) False
% 59.97/60.17 Clause #213 (by superposition #[211, 52]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (relation (relation_rng_restriction a (skS.0 8 a_1 a_2))) True)
% 59.97/60.17 Clause #216 (by superposition #[211, 93]): ∀ (a a_1 a_2 : Iota),
% 59.97/60.17 Or (Eq True False) (Eq (subset (relation_rng_restriction a (skS.0 8 a_1 a_2)) (skS.0 8 a_1 a_2)) True)
% 59.97/60.17 Clause #225 (by clausification #[22]): ∀ (a : Iota),
% 59.97/60.17 Eq
% 59.97/60.17 (relation a →
% 59.97/60.17 ∀ (B : Iota),
% 59.97/60.17 relation B →
% 59.97/60.17 subset a B → And (subset (relation_dom a) (relation_dom B)) (subset (relation_rng a) (relation_rng B)))
% 59.97/60.17 True
% 59.97/60.17 Clause #226 (by clausification #[225]): ∀ (a : Iota),
% 59.97/60.17 Or (Eq (relation a) False)
% 59.97/60.17 (Eq
% 59.97/60.17 (∀ (B : Iota),
% 59.97/60.17 relation B →
% 59.97/60.17 subset a B → And (subset (relation_dom a) (relation_dom B)) (subset (relation_rng a) (relation_rng B)))
% 59.97/60.17 True)
% 59.97/60.17 Clause #227 (by clausification #[226]): ∀ (a a_1 : Iota),
% 59.97/60.17 Or (Eq (relation a) False)
% 59.97/60.17 (Eq
% 59.97/60.17 (relation a_1 →
% 59.97/60.17 subset a a_1 → And (subset (relation_dom a) (relation_dom a_1)) (subset (relation_rng a) (relation_rng a_1)))
% 59.97/60.17 True)
% 59.97/60.17 Clause #228 (by clausification #[227]): ∀ (a a_1 : Iota),
% 59.97/60.17 Or (Eq (relation a) False)
% 59.97/60.17 (Or (Eq (relation a_1) False)
% 59.97/60.17 (Eq (subset a a_1 → And (subset (relation_dom a) (relation_dom a_1)) (subset (relation_rng a) (relation_rng a_1)))
% 60.04/60.24 True))
% 60.04/60.24 Clause #229 (by clausification #[228]): ∀ (a a_1 : Iota),
% 60.04/60.24 Or (Eq (relation a) False)
% 60.04/60.24 (Or (Eq (relation a_1) False)
% 60.04/60.24 (Or (Eq (subset a a_1) False)
% 60.04/60.24 (Eq (And (subset (relation_dom a) (relation_dom a_1)) (subset (relation_rng a) (relation_rng a_1))) True)))
% 60.04/60.24 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota),
% 60.04/60.24 Or (Eq (relation a) False)
% 60.04/60.24 (Or (Eq (relation a_1) False) (Or (Eq (subset a a_1) False) (Eq (subset (relation_rng a) (relation_rng a_1)) True)))
% 60.04/60.24 Clause #355 (by clausification #[213]): ∀ (a a_1 a_2 : Iota), Eq (relation (relation_rng_restriction a (skS.0 8 a_1 a_2))) True
% 60.04/60.24 Clause #360 (by superposition #[355, 230]): ∀ (a a_1 a_2 a_3 : Iota),
% 60.04/60.24 Or (Eq True False)
% 60.04/60.24 (Or (Eq (relation a) False)
% 60.04/60.24 (Or (Eq (subset (relation_rng_restriction a_1 (skS.0 8 a_2 a_3)) a) False)
% 60.04/60.24 (Eq (subset (relation_rng (relation_rng_restriction a_1 (skS.0 8 a_2 a_3))) (relation_rng a)) True)))
% 60.04/60.24 Clause #458 (by clausification #[216]): ∀ (a a_1 a_2 : Iota), Eq (subset (relation_rng_restriction a (skS.0 8 a_1 a_2)) (skS.0 8 a_1 a_2)) True
% 60.04/60.24 Clause #769 (by clausification #[360]): ∀ (a a_1 a_2 a_3 : Iota),
% 60.04/60.24 Or (Eq (relation a) False)
% 60.04/60.24 (Or (Eq (subset (relation_rng_restriction a_1 (skS.0 8 a_2 a_3)) a) False)
% 60.04/60.24 (Eq (subset (relation_rng (relation_rng_restriction a_1 (skS.0 8 a_2 a_3))) (relation_rng a)) True))
% 60.04/60.24 Clause #772 (by superposition #[769, 211]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 60.04/60.24 Or (Eq (subset (relation_rng_restriction a (skS.0 8 a_1 a_2)) (skS.0 8 a_3 a_4)) False)
% 60.04/60.24 (Or
% 60.04/60.24 (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 8 a_1 a_2))) (relation_rng (skS.0 8 a_3 a_4))) True)
% 60.04/60.24 (Eq False True))
% 60.04/60.24 Clause #8604 (by clausification #[772]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 60.04/60.24 Or (Eq (subset (relation_rng_restriction a (skS.0 8 a_1 a_2)) (skS.0 8 a_3 a_4)) False)
% 60.04/60.24 (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 8 a_1 a_2))) (relation_rng (skS.0 8 a_3 a_4))) True)
% 60.04/60.24 Clause #8605 (by superposition #[8604, 458]): ∀ (a a_1 a_2 : Iota),
% 60.04/60.24 Or (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 8 a_1 a_2))) (relation_rng (skS.0 8 a_1 a_2))) True)
% 60.04/60.24 (Eq False True)
% 60.04/60.24 Clause #8606 (by clausification #[8605]): ∀ (a a_1 a_2 : Iota),
% 60.04/60.24 Eq (subset (relation_rng (relation_rng_restriction a (skS.0 8 a_1 a_2))) (relation_rng (skS.0 8 a_1 a_2))) True
% 60.04/60.24 Clause #8607 (by superposition #[8606, 212]): Eq True False
% 60.04/60.24 Clause #8609 (by clausification #[8607]): False
% 60.04/60.24 SZS output end Proof for theBenchmark.p
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