TSTP Solution File: SEU219+1 by Duper---1.0
View Problem
- Process Solution
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% File : Duper---1.0
% Problem : SEU219+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 16:40:51 EDT 2023
% Result : Theorem 83.06s 83.27s
% Output : Proof 83.06s
% 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 : SEU219+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n018.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 17:51:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 83.06/83.27 SZS status Theorem for theBenchmark.p
% 83.06/83.27 SZS output start Proof for theBenchmark.p
% 83.06/83.27 Clause #0 (by assumption #[]): Eq (∀ (A : Iota), And (relation A) (function A) → one_to_one A → Eq (function_inverse A) (relation_inverse A)) True
% 83.06/83.27 Clause #8 (by assumption #[]): Eq
% 83.06/83.27 (∀ (A : Iota),
% 83.06/83.27 relation A →
% 83.06/83.27 And (Eq (relation_rng A) (relation_dom (relation_inverse A)))
% 83.06/83.27 (Eq (relation_dom A) (relation_rng (relation_inverse A))))
% 83.06/83.27 True
% 83.06/83.27 Clause #9 (by assumption #[]): Eq
% 83.06/83.27 (Not
% 83.06/83.27 (∀ (A : Iota),
% 83.06/83.27 And (relation A) (function A) →
% 83.06/83.27 one_to_one A →
% 83.06/83.27 And (Eq (relation_rng A) (relation_dom (function_inverse A)))
% 83.06/83.27 (Eq (relation_dom A) (relation_rng (function_inverse A)))))
% 83.06/83.27 True
% 83.06/83.27 Clause #20 (by clausification #[0]): ∀ (a : Iota), Eq (And (relation a) (function a) → one_to_one a → Eq (function_inverse a) (relation_inverse a)) True
% 83.06/83.27 Clause #21 (by clausification #[20]): ∀ (a : Iota),
% 83.06/83.27 Or (Eq (And (relation a) (function a)) False) (Eq (one_to_one a → Eq (function_inverse a) (relation_inverse a)) True)
% 83.06/83.27 Clause #22 (by clausification #[21]): ∀ (a : Iota),
% 83.06/83.27 Or (Eq (one_to_one a → Eq (function_inverse a) (relation_inverse a)) True)
% 83.06/83.27 (Or (Eq (relation a) False) (Eq (function a) False))
% 83.06/83.27 Clause #23 (by clausification #[22]): ∀ (a : Iota),
% 83.06/83.27 Or (Eq (relation a) False)
% 83.06/83.27 (Or (Eq (function a) False) (Or (Eq (one_to_one a) False) (Eq (Eq (function_inverse a) (relation_inverse a)) True)))
% 83.06/83.27 Clause #24 (by clausification #[23]): ∀ (a : Iota),
% 83.06/83.27 Or (Eq (relation a) False)
% 83.06/83.27 (Or (Eq (function a) False) (Or (Eq (one_to_one a) False) (Eq (function_inverse a) (relation_inverse a))))
% 83.06/83.27 Clause #49 (by clausification #[8]): ∀ (a : Iota),
% 83.06/83.27 Eq
% 83.06/83.27 (relation a →
% 83.06/83.27 And (Eq (relation_rng a) (relation_dom (relation_inverse a)))
% 83.06/83.27 (Eq (relation_dom a) (relation_rng (relation_inverse a))))
% 83.06/83.27 True
% 83.06/83.27 Clause #50 (by clausification #[49]): ∀ (a : Iota),
% 83.06/83.27 Or (Eq (relation a) False)
% 83.06/83.27 (Eq
% 83.06/83.27 (And (Eq (relation_rng a) (relation_dom (relation_inverse a)))
% 83.06/83.27 (Eq (relation_dom a) (relation_rng (relation_inverse a))))
% 83.06/83.27 True)
% 83.06/83.27 Clause #51 (by clausification #[50]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (Eq (relation_dom a) (relation_rng (relation_inverse a))) True)
% 83.06/83.27 Clause #52 (by clausification #[50]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (Eq (relation_rng a) (relation_dom (relation_inverse a))) True)
% 83.06/83.27 Clause #53 (by clausification #[51]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (relation_dom a) (relation_rng (relation_inverse a)))
% 83.06/83.27 Clause #56 (by clausification #[52]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (relation_rng a) (relation_dom (relation_inverse a)))
% 83.06/83.27 Clause #84 (by clausification #[9]): Eq
% 83.06/83.27 (∀ (A : Iota),
% 83.06/83.27 And (relation A) (function A) →
% 83.06/83.27 one_to_one A →
% 83.06/83.27 And (Eq (relation_rng A) (relation_dom (function_inverse A)))
% 83.06/83.27 (Eq (relation_dom A) (relation_rng (function_inverse A))))
% 83.06/83.27 False
% 83.06/83.27 Clause #85 (by clausification #[84]): ∀ (a : Iota),
% 83.06/83.27 Eq
% 83.06/83.27 (Not
% 83.06/83.27 (And (relation (skS.0 2 a)) (function (skS.0 2 a)) →
% 83.06/83.27 one_to_one (skS.0 2 a) →
% 83.06/83.27 And (Eq (relation_rng (skS.0 2 a)) (relation_dom (function_inverse (skS.0 2 a))))
% 83.06/83.27 (Eq (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a))))))
% 83.06/83.27 True
% 83.06/83.27 Clause #86 (by clausification #[85]): ∀ (a : Iota),
% 83.06/83.27 Eq
% 83.06/83.27 (And (relation (skS.0 2 a)) (function (skS.0 2 a)) →
% 83.06/83.27 one_to_one (skS.0 2 a) →
% 83.06/83.27 And (Eq (relation_rng (skS.0 2 a)) (relation_dom (function_inverse (skS.0 2 a))))
% 83.06/83.27 (Eq (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a)))))
% 83.06/83.27 False
% 83.06/83.27 Clause #87 (by clausification #[86]): ∀ (a : Iota), Eq (And (relation (skS.0 2 a)) (function (skS.0 2 a))) True
% 83.06/83.27 Clause #88 (by clausification #[86]): ∀ (a : Iota),
% 83.06/83.27 Eq
% 83.06/83.27 (one_to_one (skS.0 2 a) →
% 83.06/83.27 And (Eq (relation_rng (skS.0 2 a)) (relation_dom (function_inverse (skS.0 2 a))))
% 83.06/83.27 (Eq (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a)))))
% 83.06/83.27 False
% 83.06/83.27 Clause #89 (by clausification #[87]): ∀ (a : Iota), Eq (function (skS.0 2 a)) True
% 83.06/83.30 Clause #90 (by clausification #[87]): ∀ (a : Iota), Eq (relation (skS.0 2 a)) True
% 83.06/83.30 Clause #93 (by superposition #[90, 24]): ∀ (a : Iota),
% 83.06/83.30 Or (Eq True False)
% 83.06/83.30 (Or (Eq (function (skS.0 2 a)) False)
% 83.06/83.30 (Or (Eq (one_to_one (skS.0 2 a)) False) (Eq (function_inverse (skS.0 2 a)) (relation_inverse (skS.0 2 a)))))
% 83.06/83.30 Clause #96 (by superposition #[90, 53]): ∀ (a : Iota), Or (Eq True False) (Eq (relation_dom (skS.0 2 a)) (relation_rng (relation_inverse (skS.0 2 a))))
% 83.06/83.30 Clause #97 (by superposition #[90, 56]): ∀ (a : Iota), Or (Eq True False) (Eq (relation_rng (skS.0 2 a)) (relation_dom (relation_inverse (skS.0 2 a))))
% 83.06/83.30 Clause #278 (by clausification #[96]): ∀ (a : Iota), Eq (relation_dom (skS.0 2 a)) (relation_rng (relation_inverse (skS.0 2 a)))
% 83.06/83.30 Clause #281 (by clausification #[97]): ∀ (a : Iota), Eq (relation_rng (skS.0 2 a)) (relation_dom (relation_inverse (skS.0 2 a)))
% 83.06/83.30 Clause #881 (by clausification #[88]): ∀ (a : Iota), Eq (one_to_one (skS.0 2 a)) True
% 83.06/83.30 Clause #882 (by clausification #[88]): ∀ (a : Iota),
% 83.06/83.30 Eq
% 83.06/83.30 (And (Eq (relation_rng (skS.0 2 a)) (relation_dom (function_inverse (skS.0 2 a))))
% 83.06/83.30 (Eq (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a)))))
% 83.06/83.30 False
% 83.06/83.30 Clause #895 (by clausification #[93]): ∀ (a : Iota),
% 83.06/83.30 Or (Eq (function (skS.0 2 a)) False)
% 83.06/83.30 (Or (Eq (one_to_one (skS.0 2 a)) False) (Eq (function_inverse (skS.0 2 a)) (relation_inverse (skS.0 2 a))))
% 83.06/83.30 Clause #896 (by forward demodulation #[895, 89]): ∀ (a : Iota),
% 83.06/83.30 Or (Eq True False)
% 83.06/83.30 (Or (Eq (one_to_one (skS.0 2 a)) False) (Eq (function_inverse (skS.0 2 a)) (relation_inverse (skS.0 2 a))))
% 83.06/83.30 Clause #897 (by clausification #[896]): ∀ (a : Iota), Or (Eq (one_to_one (skS.0 2 a)) False) (Eq (function_inverse (skS.0 2 a)) (relation_inverse (skS.0 2 a)))
% 83.06/83.30 Clause #898 (by superposition #[897, 881]): ∀ (a : Iota), Or (Eq (function_inverse (skS.0 2 a)) (relation_inverse (skS.0 2 a))) (Eq False True)
% 83.06/83.30 Clause #899 (by clausification #[898]): ∀ (a : Iota), Eq (function_inverse (skS.0 2 a)) (relation_inverse (skS.0 2 a))
% 83.06/83.30 Clause #6205 (by clausification #[882]): ∀ (a : Iota),
% 83.06/83.30 Or (Eq (Eq (relation_rng (skS.0 2 a)) (relation_dom (function_inverse (skS.0 2 a)))) False)
% 83.06/83.30 (Eq (Eq (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a)))) False)
% 83.06/83.30 Clause #6206 (by clausification #[6205]): ∀ (a : Iota),
% 83.06/83.30 Or (Eq (Eq (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a)))) False)
% 83.06/83.30 (Ne (relation_rng (skS.0 2 a)) (relation_dom (function_inverse (skS.0 2 a))))
% 83.06/83.30 Clause #6207 (by clausification #[6206]): ∀ (a : Iota),
% 83.06/83.30 Or (Ne (relation_rng (skS.0 2 a)) (relation_dom (function_inverse (skS.0 2 a))))
% 83.06/83.30 (Ne (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a))))
% 83.06/83.30 Clause #6208 (by forward demodulation #[6207, 899]): ∀ (a : Iota),
% 83.06/83.30 Or (Ne (relation_rng (skS.0 2 a)) (relation_dom (relation_inverse (skS.0 2 a))))
% 83.06/83.30 (Ne (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a))))
% 83.06/83.30 Clause #6209 (by forward demodulation #[6208, 281]): ∀ (a : Iota),
% 83.06/83.30 Or (Ne (relation_rng (skS.0 2 a)) (relation_rng (skS.0 2 a)))
% 83.06/83.30 (Ne (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a))))
% 83.06/83.30 Clause #6210 (by eliminate resolved literals #[6209]): ∀ (a : Iota), Ne (relation_dom (skS.0 2 a)) (relation_rng (function_inverse (skS.0 2 a)))
% 83.06/83.30 Clause #6211 (by forward demodulation #[6210, 899]): ∀ (a : Iota), Ne (relation_dom (skS.0 2 a)) (relation_rng (relation_inverse (skS.0 2 a)))
% 83.06/83.30 Clause #6212 (by forward demodulation #[6211, 278]): ∀ (a : Iota), Ne (relation_dom (skS.0 2 a)) (relation_dom (skS.0 2 a))
% 83.06/83.30 Clause #6213 (by eliminate resolved literals #[6212]): False
% 83.06/83.30 SZS output end Proof for theBenchmark.p
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