TSTP Solution File: SEU217+3 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU217+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 4.53s 4.70s
% Output : Proof 4.53s
% 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 : SEU217+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n026.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 18:51:01 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.53/4.70 SZS status Theorem for theBenchmark.p
% 4.53/4.70 SZS output start Proof for theBenchmark.p
% 4.53/4.70 Clause #17 (by assumption #[]): Eq (∀ (A : Iota), relation (identity_relation A)) True
% 4.53/4.70 Clause #18 (by assumption #[]): Eq (∀ (A : Iota), And (relation (identity_relation A)) (function (identity_relation A))) True
% 4.53/4.70 Clause #29 (by assumption #[]): Eq (Not (∀ (A B : Iota), in B A → Eq (apply (identity_relation A) B) B)) True
% 4.53/4.70 Clause #30 (by assumption #[]): Eq
% 4.53/4.70 (∀ (A B : Iota),
% 4.53/4.70 And (relation B) (function B) →
% 4.53/4.70 Iff (Eq B (identity_relation A)) (And (Eq (relation_dom B) A) (∀ (C : Iota), in C A → Eq (apply B C) C)))
% 4.53/4.70 True
% 4.53/4.70 Clause #41 (by clausification #[17]): ∀ (a : Iota), Eq (relation (identity_relation a)) True
% 4.53/4.70 Clause #139 (by clausification #[18]): ∀ (a : Iota), Eq (And (relation (identity_relation a)) (function (identity_relation a))) True
% 4.53/4.70 Clause #140 (by clausification #[139]): ∀ (a : Iota), Eq (function (identity_relation a)) True
% 4.53/4.70 Clause #194 (by clausification #[29]): Eq (∀ (A B : Iota), in B A → Eq (apply (identity_relation A) B) B) False
% 4.53/4.70 Clause #195 (by clausification #[194]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in B (skS.0 9 a) → Eq (apply (identity_relation (skS.0 9 a)) B) B)) True
% 4.53/4.70 Clause #196 (by clausification #[195]): ∀ (a : Iota), Eq (∀ (B : Iota), in B (skS.0 9 a) → Eq (apply (identity_relation (skS.0 9 a)) B) B) False
% 4.53/4.70 Clause #197 (by clausification #[196]): ∀ (a a_1 : Iota),
% 4.53/4.70 Eq
% 4.53/4.70 (Not
% 4.53/4.70 (in (skS.0 10 a a_1) (skS.0 9 a) → Eq (apply (identity_relation (skS.0 9 a)) (skS.0 10 a a_1)) (skS.0 10 a a_1)))
% 4.53/4.70 True
% 4.53/4.70 Clause #198 (by clausification #[197]): ∀ (a a_1 : Iota),
% 4.53/4.70 Eq (in (skS.0 10 a a_1) (skS.0 9 a) → Eq (apply (identity_relation (skS.0 9 a)) (skS.0 10 a a_1)) (skS.0 10 a a_1))
% 4.53/4.70 False
% 4.53/4.70 Clause #199 (by clausification #[198]): ∀ (a a_1 : Iota), Eq (in (skS.0 10 a a_1) (skS.0 9 a)) True
% 4.53/4.70 Clause #200 (by clausification #[198]): ∀ (a a_1 : Iota), Eq (Eq (apply (identity_relation (skS.0 9 a)) (skS.0 10 a a_1)) (skS.0 10 a a_1)) False
% 4.53/4.70 Clause #214 (by clausification #[30]): ∀ (a : Iota),
% 4.53/4.70 Eq
% 4.53/4.70 (∀ (B : Iota),
% 4.53/4.70 And (relation B) (function B) →
% 4.53/4.70 Iff (Eq B (identity_relation a)) (And (Eq (relation_dom B) a) (∀ (C : Iota), in C a → Eq (apply B C) C)))
% 4.53/4.70 True
% 4.53/4.70 Clause #215 (by clausification #[214]): ∀ (a a_1 : Iota),
% 4.53/4.70 Eq
% 4.53/4.70 (And (relation a) (function a) →
% 4.53/4.70 Iff (Eq a (identity_relation a_1)) (And (Eq (relation_dom a) a_1) (∀ (C : Iota), in C a_1 → Eq (apply a C) C)))
% 4.53/4.70 True
% 4.53/4.70 Clause #216 (by clausification #[215]): ∀ (a a_1 : Iota),
% 4.53/4.70 Or (Eq (And (relation a) (function a)) False)
% 4.53/4.70 (Eq (Iff (Eq a (identity_relation a_1)) (And (Eq (relation_dom a) a_1) (∀ (C : Iota), in C a_1 → Eq (apply a C) C)))
% 4.53/4.70 True)
% 4.53/4.70 Clause #217 (by clausification #[216]): ∀ (a a_1 : Iota),
% 4.53/4.70 Or
% 4.53/4.70 (Eq (Iff (Eq a (identity_relation a_1)) (And (Eq (relation_dom a) a_1) (∀ (C : Iota), in C a_1 → Eq (apply a C) C)))
% 4.53/4.70 True)
% 4.53/4.70 (Or (Eq (relation a) False) (Eq (function a) False))
% 4.53/4.70 Clause #219 (by clausification #[217]): ∀ (a a_1 : Iota),
% 4.53/4.70 Or (Eq (relation a) False)
% 4.53/4.70 (Or (Eq (function a) False)
% 4.53/4.70 (Or (Eq (Eq a (identity_relation a_1)) False)
% 4.53/4.70 (Eq (And (Eq (relation_dom a) a_1) (∀ (C : Iota), in C a_1 → Eq (apply a C) C)) True)))
% 4.53/4.70 Clause #303 (by clausification #[200]): ∀ (a a_1 : Iota), Ne (apply (identity_relation (skS.0 9 a)) (skS.0 10 a a_1)) (skS.0 10 a a_1)
% 4.53/4.70 Clause #326 (by clausification #[219]): ∀ (a a_1 : Iota),
% 4.53/4.70 Or (Eq (relation a) False)
% 4.53/4.70 (Or (Eq (function a) False)
% 4.53/4.70 (Or (Eq (And (Eq (relation_dom a) a_1) (∀ (C : Iota), in C a_1 → Eq (apply a C) C)) True)
% 4.53/4.70 (Ne a (identity_relation a_1))))
% 4.53/4.70 Clause #327 (by clausification #[326]): ∀ (a a_1 : Iota),
% 4.53/4.70 Or (Eq (relation a) False)
% 4.53/4.70 (Or (Eq (function a) False)
% 4.53/4.70 (Or (Ne a (identity_relation a_1)) (Eq (∀ (C : Iota), in C a_1 → Eq (apply a C) C) True)))
% 4.53/4.70 Clause #329 (by clausification #[327]): ∀ (a a_1 a_2 : Iota),
% 4.53/4.70 Or (Eq (relation a) False)
% 4.53/4.70 (Or (Eq (function a) False) (Or (Ne a (identity_relation a_1)) (Eq (in a_2 a_1 → Eq (apply a a_2) a_2) True)))
% 4.53/4.71 Clause #330 (by clausification #[329]): ∀ (a a_1 a_2 : Iota),
% 4.53/4.71 Or (Eq (relation a) False)
% 4.53/4.71 (Or (Eq (function a) False)
% 4.53/4.71 (Or (Ne a (identity_relation a_1)) (Or (Eq (in a_2 a_1) False) (Eq (Eq (apply a a_2) a_2) True))))
% 4.53/4.71 Clause #331 (by clausification #[330]): ∀ (a a_1 a_2 : Iota),
% 4.53/4.71 Or (Eq (relation a) False)
% 4.53/4.71 (Or (Eq (function a) False) (Or (Ne a (identity_relation a_1)) (Or (Eq (in a_2 a_1) False) (Eq (apply a a_2) a_2))))
% 4.53/4.71 Clause #332 (by destructive equality resolution #[331]): ∀ (a a_1 : Iota),
% 4.53/4.71 Or (Eq (relation (identity_relation a)) False)
% 4.53/4.71 (Or (Eq (function (identity_relation a)) False)
% 4.53/4.71 (Or (Eq (in a_1 a) False) (Eq (apply (identity_relation a) a_1) a_1)))
% 4.53/4.71 Clause #333 (by forward demodulation #[332, 41]): ∀ (a a_1 : Iota),
% 4.53/4.71 Or (Eq True False)
% 4.53/4.71 (Or (Eq (function (identity_relation a)) False)
% 4.53/4.71 (Or (Eq (in a_1 a) False) (Eq (apply (identity_relation a) a_1) a_1)))
% 4.53/4.71 Clause #334 (by clausification #[333]): ∀ (a a_1 : Iota),
% 4.53/4.71 Or (Eq (function (identity_relation a)) False) (Or (Eq (in a_1 a) False) (Eq (apply (identity_relation a) a_1) a_1))
% 4.53/4.71 Clause #335 (by superposition #[334, 140]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Or (Eq (apply (identity_relation a_1) a) a) (Eq False True))
% 4.53/4.71 Clause #336 (by clausification #[335]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (apply (identity_relation a_1) a) a)
% 4.53/4.71 Clause #337 (by superposition #[336, 199]): ∀ (a a_1 : Iota), Or (Eq (apply (identity_relation (skS.0 9 a)) (skS.0 10 a a_1)) (skS.0 10 a a_1)) (Eq False True)
% 4.53/4.71 Clause #397 (by clausification #[337]): ∀ (a a_1 : Iota), Eq (apply (identity_relation (skS.0 9 a)) (skS.0 10 a a_1)) (skS.0 10 a a_1)
% 4.53/4.71 Clause #398 (by forward contextual literal cutting #[397, 303]): False
% 4.53/4.71 SZS output end Proof for theBenchmark.p
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