TSTP Solution File: SEU697^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU697^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 16:43:26 EDT 2023
% Result : Theorem 3.50s 3.68s
% Output : Proof 3.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU697^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 21:17:16 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.50/3.68 SZS status Theorem for theBenchmark.p
% 3.50/3.68 SZS output start Proof for theBenchmark.p
% 3.50/3.68 Clause #1 (by assumption #[]): Eq
% 3.50/3.68 (Not
% 3.50/3.68 (∀ (A B : Iota) (Xf : Iota → Iota),
% 3.50/3.68 (∀ (Xx : Iota), in Xx A → in (Xf Xx) B) → Eq (lam A B fun Xx => Xf Xx) (lam A B fun Xx => Xf Xx)))
% 3.50/3.68 True
% 3.50/3.68 Clause #2 (by betaEtaReduce #[1]): Eq (Not (∀ (A B : Iota) (Xf : Iota → Iota), (∀ (Xx : Iota), in Xx A → in (Xf Xx) B) → Eq (lam A B Xf) (lam A B Xf)))
% 3.50/3.68 True
% 3.50/3.68 Clause #3 (by clausification #[2]): Eq (∀ (A B : Iota) (Xf : Iota → Iota), (∀ (Xx : Iota), in Xx A → in (Xf Xx) B) → Eq (lam A B Xf) (lam A B Xf)) False
% 3.50/3.68 Clause #4 (by clausification #[3]): ∀ (a : Iota),
% 3.50/3.68 Eq
% 3.50/3.68 (Not
% 3.50/3.68 (∀ (B : Iota) (Xf : Iota → Iota),
% 3.50/3.68 (∀ (Xx : Iota), in Xx (skS.0 0 a) → in (Xf Xx) B) → Eq (lam (skS.0 0 a) B Xf) (lam (skS.0 0 a) B Xf)))
% 3.50/3.68 True
% 3.50/3.68 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 3.50/3.68 Eq
% 3.50/3.68 (∀ (B : Iota) (Xf : Iota → Iota),
% 3.50/3.68 (∀ (Xx : Iota), in Xx (skS.0 0 a) → in (Xf Xx) B) → Eq (lam (skS.0 0 a) B Xf) (lam (skS.0 0 a) B Xf))
% 3.50/3.68 False
% 3.50/3.68 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota),
% 3.50/3.68 Eq
% 3.50/3.68 (Not
% 3.50/3.68 (∀ (Xf : Iota → Iota),
% 3.50/3.68 (∀ (Xx : Iota), in Xx (skS.0 0 a) → in (Xf Xx) (skS.0 1 a a_1)) →
% 3.50/3.68 Eq (lam (skS.0 0 a) (skS.0 1 a a_1) Xf) (lam (skS.0 0 a) (skS.0 1 a a_1) Xf)))
% 3.50/3.68 True
% 3.50/3.68 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 3.50/3.68 Eq
% 3.50/3.68 (∀ (Xf : Iota → Iota),
% 3.50/3.68 (∀ (Xx : Iota), in Xx (skS.0 0 a) → in (Xf Xx) (skS.0 1 a a_1)) →
% 3.50/3.68 Eq (lam (skS.0 0 a) (skS.0 1 a a_1) Xf) (lam (skS.0 0 a) (skS.0 1 a a_1) Xf))
% 3.50/3.68 False
% 3.50/3.68 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota),
% 3.50/3.68 Eq
% 3.50/3.68 (Not
% 3.50/3.68 ((∀ (Xx : Iota), in Xx (skS.0 0 a) → in (skS.0 2 a a_1 a_2 Xx) (skS.0 1 a a_1)) →
% 3.50/3.68 Eq (lam (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (lam (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 3.50/3.68 True
% 3.50/3.68 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota),
% 3.50/3.68 Eq
% 3.50/3.68 ((∀ (Xx : Iota), in Xx (skS.0 0 a) → in (skS.0 2 a a_1 a_2 Xx) (skS.0 1 a a_1)) →
% 3.50/3.68 Eq (lam (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (lam (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.50/3.68 False
% 3.50/3.68 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota),
% 3.50/3.68 Eq (Eq (lam (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (lam (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.50/3.68 False
% 3.50/3.68 Clause #30 (by clausification #[11]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota),
% 3.50/3.68 Ne (lam (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (lam (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.50/3.68 Clause #31 (by eliminate resolved literals #[30]): False
% 3.50/3.68 SZS output end Proof for theBenchmark.p
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