TSTP Solution File: SEU217+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU217+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 16:40:50 EDT 2023
% Result : Theorem 4.02s 4.16s
% Output : Proof 4.02s
% 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+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 01:13:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.02/4.16 SZS status Theorem for theBenchmark.p
% 4.02/4.16 SZS output start Proof for theBenchmark.p
% 4.02/4.16 Clause #18 (by assumption #[]): Eq (∀ (A : Iota), relation (identity_relation A)) True
% 4.02/4.16 Clause #20 (by assumption #[]): Eq (∀ (A : Iota), And (relation (identity_relation A)) (function (identity_relation A))) True
% 4.02/4.16 Clause #23 (by assumption #[]): Eq (Not (∀ (A B : Iota), in B A → Eq (apply (identity_relation A) B) B)) True
% 4.02/4.16 Clause #24 (by assumption #[]): Eq
% 4.02/4.16 (∀ (A B : Iota),
% 4.02/4.16 And (relation B) (function B) →
% 4.02/4.16 Iff (Eq B (identity_relation A)) (And (Eq (relation_dom B) A) (∀ (C : Iota), in C A → Eq (apply B C) C)))
% 4.02/4.16 True
% 4.02/4.16 Clause #36 (by clausification #[18]): ∀ (a : Iota), Eq (relation (identity_relation a)) True
% 4.02/4.16 Clause #74 (by clausification #[20]): ∀ (a : Iota), Eq (And (relation (identity_relation a)) (function (identity_relation a))) True
% 4.02/4.16 Clause #75 (by clausification #[74]): ∀ (a : Iota), Eq (function (identity_relation a)) True
% 4.02/4.16 Clause #128 (by clausification #[23]): Eq (∀ (A B : Iota), in B A → Eq (apply (identity_relation A) B) B) False
% 4.02/4.16 Clause #129 (by clausification #[128]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in B (skS.0 7 a) → Eq (apply (identity_relation (skS.0 7 a)) B) B)) True
% 4.02/4.16 Clause #130 (by clausification #[129]): ∀ (a : Iota), Eq (∀ (B : Iota), in B (skS.0 7 a) → Eq (apply (identity_relation (skS.0 7 a)) B) B) False
% 4.02/4.16 Clause #131 (by clausification #[130]): ∀ (a a_1 : Iota),
% 4.02/4.16 Eq (Not (in (skS.0 8 a a_1) (skS.0 7 a) → Eq (apply (identity_relation (skS.0 7 a)) (skS.0 8 a a_1)) (skS.0 8 a a_1)))
% 4.02/4.16 True
% 4.02/4.16 Clause #132 (by clausification #[131]): ∀ (a a_1 : Iota),
% 4.02/4.16 Eq (in (skS.0 8 a a_1) (skS.0 7 a) → Eq (apply (identity_relation (skS.0 7 a)) (skS.0 8 a a_1)) (skS.0 8 a a_1)) False
% 4.02/4.16 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota), Eq (in (skS.0 8 a a_1) (skS.0 7 a)) True
% 4.02/4.16 Clause #134 (by clausification #[132]): ∀ (a a_1 : Iota), Eq (Eq (apply (identity_relation (skS.0 7 a)) (skS.0 8 a a_1)) (skS.0 8 a a_1)) False
% 4.02/4.16 Clause #146 (by clausification #[24]): ∀ (a : Iota),
% 4.02/4.16 Eq
% 4.02/4.16 (∀ (B : Iota),
% 4.02/4.16 And (relation B) (function B) →
% 4.02/4.16 Iff (Eq B (identity_relation a)) (And (Eq (relation_dom B) a) (∀ (C : Iota), in C a → Eq (apply B C) C)))
% 4.02/4.16 True
% 4.02/4.16 Clause #147 (by clausification #[146]): ∀ (a a_1 : Iota),
% 4.02/4.16 Eq
% 4.02/4.16 (And (relation a) (function a) →
% 4.02/4.16 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)))
% 4.02/4.16 True
% 4.02/4.16 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota),
% 4.02/4.16 Or (Eq (And (relation a) (function a)) False)
% 4.02/4.16 (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)))
% 4.02/4.16 True)
% 4.02/4.16 Clause #149 (by clausification #[148]): ∀ (a a_1 : Iota),
% 4.02/4.16 Or
% 4.02/4.16 (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)))
% 4.02/4.16 True)
% 4.02/4.16 (Or (Eq (relation a) False) (Eq (function a) False))
% 4.02/4.16 Clause #151 (by clausification #[149]): ∀ (a a_1 : Iota),
% 4.02/4.16 Or (Eq (relation a) False)
% 4.02/4.16 (Or (Eq (function a) False)
% 4.02/4.16 (Or (Eq (Eq a (identity_relation a_1)) False)
% 4.02/4.16 (Eq (And (Eq (relation_dom a) a_1) (∀ (C : Iota), in C a_1 → Eq (apply a C) C)) True)))
% 4.02/4.16 Clause #193 (by clausification #[134]): ∀ (a a_1 : Iota), Ne (apply (identity_relation (skS.0 7 a)) (skS.0 8 a a_1)) (skS.0 8 a a_1)
% 4.02/4.16 Clause #198 (by clausification #[151]): ∀ (a a_1 : Iota),
% 4.02/4.16 Or (Eq (relation a) False)
% 4.02/4.16 (Or (Eq (function a) False)
% 4.02/4.16 (Or (Eq (And (Eq (relation_dom a) a_1) (∀ (C : Iota), in C a_1 → Eq (apply a C) C)) True)
% 4.02/4.16 (Ne a (identity_relation a_1))))
% 4.02/4.16 Clause #199 (by clausification #[198]): ∀ (a a_1 : Iota),
% 4.02/4.16 Or (Eq (relation a) False)
% 4.02/4.16 (Or (Eq (function a) False)
% 4.02/4.16 (Or (Ne a (identity_relation a_1)) (Eq (∀ (C : Iota), in C a_1 → Eq (apply a C) C) True)))
% 4.02/4.16 Clause #201 (by clausification #[199]): ∀ (a a_1 a_2 : Iota),
% 4.02/4.16 Or (Eq (relation a) False)
% 4.02/4.16 (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)))
% 4.02/4.16 Clause #202 (by clausification #[201]): ∀ (a a_1 a_2 : Iota),
% 4.02/4.17 Or (Eq (relation a) False)
% 4.02/4.17 (Or (Eq (function a) False)
% 4.02/4.17 (Or (Ne a (identity_relation a_1)) (Or (Eq (in a_2 a_1) False) (Eq (Eq (apply a a_2) a_2) True))))
% 4.02/4.17 Clause #203 (by clausification #[202]): ∀ (a a_1 a_2 : Iota),
% 4.02/4.17 Or (Eq (relation a) False)
% 4.02/4.17 (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))))
% 4.02/4.17 Clause #204 (by destructive equality resolution #[203]): ∀ (a a_1 : Iota),
% 4.02/4.17 Or (Eq (relation (identity_relation a)) False)
% 4.02/4.17 (Or (Eq (function (identity_relation a)) False)
% 4.02/4.17 (Or (Eq (in a_1 a) False) (Eq (apply (identity_relation a) a_1) a_1)))
% 4.02/4.17 Clause #205 (by forward demodulation #[204, 36]): ∀ (a a_1 : Iota),
% 4.02/4.17 Or (Eq True False)
% 4.02/4.17 (Or (Eq (function (identity_relation a)) False)
% 4.02/4.17 (Or (Eq (in a_1 a) False) (Eq (apply (identity_relation a) a_1) a_1)))
% 4.02/4.17 Clause #206 (by clausification #[205]): ∀ (a a_1 : Iota),
% 4.02/4.17 Or (Eq (function (identity_relation a)) False) (Or (Eq (in a_1 a) False) (Eq (apply (identity_relation a) a_1) a_1))
% 4.02/4.17 Clause #207 (by superposition #[206, 75]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Or (Eq (apply (identity_relation a_1) a) a) (Eq False True))
% 4.02/4.17 Clause #212 (by clausification #[207]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (apply (identity_relation a_1) a) a)
% 4.02/4.17 Clause #213 (by superposition #[212, 133]): ∀ (a a_1 : Iota), Or (Eq (apply (identity_relation (skS.0 7 a)) (skS.0 8 a a_1)) (skS.0 8 a a_1)) (Eq False True)
% 4.02/4.17 Clause #239 (by clausification #[213]): ∀ (a a_1 : Iota), Eq (apply (identity_relation (skS.0 7 a)) (skS.0 8 a a_1)) (skS.0 8 a a_1)
% 4.02/4.17 Clause #240 (by forward contextual literal cutting #[239, 193]): False
% 4.02/4.17 SZS output end Proof for theBenchmark.p
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