TSTP Solution File: SEU928^5 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU928^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 16:44:20 EDT 2023
% Result : Theorem 3.62s 3.85s
% Output : Proof 3.62s
% 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 : SEU928^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : duper %s
% 0.13/0.34 % Computer : n008.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 17:02:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.62/3.85 SZS status Theorem for theBenchmark.p
% 3.62/3.85 SZS output start Proof for theBenchmark.p
% 3.62/3.85 Clause #0 (by assumption #[]): Eq
% 3.62/3.85 (Not
% 3.62/3.85 (∀ (F : Iota → Iota),
% 3.62/3.85 (∀ (Xx Xy : Iota), Eq (F Xx) (F Xy) → Eq Xx Xy) → ∀ (Xx Xy : Iota), Eq (F (F Xx)) (F (F Xy)) → Eq Xx Xy))
% 3.62/3.85 True
% 3.62/3.85 Clause #1 (by clausification #[0]): Eq
% 3.62/3.85 (∀ (F : Iota → Iota),
% 3.62/3.85 (∀ (Xx Xy : Iota), Eq (F Xx) (F Xy) → Eq Xx Xy) → ∀ (Xx Xy : Iota), Eq (F (F Xx)) (F (F Xy)) → Eq Xx Xy)
% 3.62/3.85 False
% 3.62/3.85 Clause #2 (by clausification #[1]): ∀ (a : Iota → Iota),
% 3.62/3.85 Eq
% 3.62/3.85 (Not
% 3.62/3.85 ((∀ (Xx Xy : Iota), Eq (skS.0 0 a Xx) (skS.0 0 a Xy) → Eq Xx Xy) →
% 3.62/3.85 ∀ (Xx Xy : Iota), Eq (skS.0 0 a (skS.0 0 a Xx)) (skS.0 0 a (skS.0 0 a Xy)) → Eq Xx Xy))
% 3.62/3.85 True
% 3.62/3.85 Clause #3 (by clausification #[2]): ∀ (a : Iota → Iota),
% 3.62/3.85 Eq
% 3.62/3.85 ((∀ (Xx Xy : Iota), Eq (skS.0 0 a Xx) (skS.0 0 a Xy) → Eq Xx Xy) →
% 3.62/3.85 ∀ (Xx Xy : Iota), Eq (skS.0 0 a (skS.0 0 a Xx)) (skS.0 0 a (skS.0 0 a Xy)) → Eq Xx Xy)
% 3.62/3.85 False
% 3.62/3.85 Clause #4 (by clausification #[3]): ∀ (a : Iota → Iota), Eq (∀ (Xx Xy : Iota), Eq (skS.0 0 a Xx) (skS.0 0 a Xy) → Eq Xx Xy) True
% 3.62/3.85 Clause #5 (by clausification #[3]): ∀ (a : Iota → Iota), Eq (∀ (Xx Xy : Iota), Eq (skS.0 0 a (skS.0 0 a Xx)) (skS.0 0 a (skS.0 0 a Xy)) → Eq Xx Xy) False
% 3.62/3.85 Clause #6 (by clausification #[4]): ∀ (a : Iota → Iota) (a_1 : Iota), Eq (∀ (Xy : Iota), Eq (skS.0 0 a a_1) (skS.0 0 a Xy) → Eq a_1 Xy) True
% 3.62/3.85 Clause #7 (by clausification #[6]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (Eq (skS.0 0 a a_1) (skS.0 0 a a_2) → Eq a_1 a_2) True
% 3.62/3.85 Clause #8 (by clausification #[7]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Or (Eq (Eq (skS.0 0 a a_1) (skS.0 0 a a_2)) False) (Eq (Eq a_1 a_2) True)
% 3.62/3.85 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota), Or (Eq (Eq a a_1) True) (Ne (skS.0 0 a_2 a) (skS.0 0 a_2 a_1))
% 3.62/3.85 Clause #10 (by clausification #[9]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Or (Ne (skS.0 0 a a_1) (skS.0 0 a a_2)) (Eq a_1 a_2)
% 3.62/3.85 Clause #12 (by clausification #[5]): ∀ (a : Iota → Iota) (a_1 : Iota),
% 3.62/3.85 Eq
% 3.62/3.85 (Not (∀ (Xy : Iota), Eq (skS.0 0 a (skS.0 0 a (skS.0 1 a a_1))) (skS.0 0 a (skS.0 0 a Xy)) → Eq (skS.0 1 a a_1) Xy))
% 3.62/3.85 True
% 3.62/3.85 Clause #13 (by clausification #[12]): ∀ (a : Iota → Iota) (a_1 : Iota),
% 3.62/3.85 Eq (∀ (Xy : Iota), Eq (skS.0 0 a (skS.0 0 a (skS.0 1 a a_1))) (skS.0 0 a (skS.0 0 a Xy)) → Eq (skS.0 1 a a_1) Xy)
% 3.62/3.85 False
% 3.62/3.85 Clause #14 (by clausification #[13]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota),
% 3.62/3.85 Eq
% 3.62/3.85 (Not
% 3.62/3.85 (Eq (skS.0 0 a (skS.0 0 a (skS.0 1 a a_1))) (skS.0 0 a (skS.0 0 a (skS.0 2 a a_1 a_2))) →
% 3.62/3.85 Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.62/3.85 True
% 3.62/3.85 Clause #15 (by clausification #[14]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota),
% 3.62/3.85 Eq
% 3.62/3.85 (Eq (skS.0 0 a (skS.0 0 a (skS.0 1 a a_1))) (skS.0 0 a (skS.0 0 a (skS.0 2 a a_1 a_2))) →
% 3.62/3.85 Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 3.62/3.85 False
% 3.62/3.85 Clause #16 (by clausification #[15]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota),
% 3.62/3.85 Eq (Eq (skS.0 0 a (skS.0 0 a (skS.0 1 a a_1))) (skS.0 0 a (skS.0 0 a (skS.0 2 a a_1 a_2)))) True
% 3.62/3.85 Clause #17 (by clausification #[15]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) False
% 3.62/3.85 Clause #18 (by clausification #[16]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota),
% 3.62/3.85 Eq (skS.0 0 a (skS.0 0 a (skS.0 1 a a_1))) (skS.0 0 a (skS.0 0 a (skS.0 2 a a_1 a_2)))
% 3.62/3.85 Clause #19 (by superposition #[18, 10]): ∀ (a : Iota → Iota) (a_1 a_2 a_3 : Iota),
% 3.62/3.85 Or (Ne (skS.0 0 a (skS.0 0 a (skS.0 1 a a_1))) (skS.0 0 a a_2)) (Eq (skS.0 0 a (skS.0 2 a a_1 a_3)) a_2)
% 3.62/3.85 Clause #21 (by clausification #[17]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Ne (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)
% 3.62/3.85 Clause #22 (by equality resolution #[19]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (skS.0 0 a (skS.0 2 a a_1 a_2)) (skS.0 0 a (skS.0 1 a a_1))
% 3.62/3.85 Clause #27 (by superposition #[22, 10]): ∀ (a : Iota → Iota) (a_1 a_2 a_3 : Iota),
% 3.62/3.85 Or (Ne (skS.0 0 a a_1) (skS.0 0 a (skS.0 1 a a_2))) (Eq a_1 (skS.0 2 a a_2 a_3))
% 3.62/3.85 Clause #28 (by equality resolution #[27]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)
% 3.62/3.85 Clause #30 (by forward contextual literal cutting #[28, 21]): False
% 3.62/3.85 SZS output end Proof for theBenchmark.p
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