TSTP Solution File: SEV049^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SEV049^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 19:24:08 EDT 2023
% Result : Theorem 3.85s 4.02s
% Output : Proof 3.85s
% 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 : SEV049^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 02:06:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.85/4.02 SZS status Theorem for theBenchmark.p
% 3.85/4.02 SZS output start Proof for theBenchmark.p
% 3.85/4.02 Clause #0 (by assumption #[]): Eq
% 3.85/4.02 (Not
% 3.85/4.02 (Exists fun R =>
% 3.85/4.02 And (Not (R (fun Xx => True) fun Xx => False)) (∀ (Xx Xy Xz : Iota → Prop), And (R Xx Xy) (R Xy Xz) → R Xx Xz)))
% 3.85/4.02 True
% 3.85/4.02 Clause #1 (by clausification #[0]): Eq
% 3.85/4.02 (Exists fun R =>
% 3.85/4.02 And (Not (R (fun Xx => True) fun Xx => False)) (∀ (Xx Xy Xz : Iota → Prop), And (R Xx Xy) (R Xy Xz) → R Xx Xz))
% 3.85/4.02 False
% 3.85/4.02 Clause #2 (by clausification #[1]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop),
% 3.85/4.02 Eq (And (Not (a (fun Xx => True) fun Xx => False)) (∀ (Xx Xy Xz : Iota → Prop), And (a Xx Xy) (a Xy Xz) → a Xx Xz))
% 3.85/4.02 False
% 3.85/4.02 Clause #3 (by clausification #[2]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop),
% 3.85/4.02 Or (Eq (Not (a (fun Xx => True) fun Xx => False)) False)
% 3.85/4.02 (Eq (∀ (Xx Xy Xz : Iota → Prop), And (a Xx Xy) (a Xy Xz) → a Xx Xz) False)
% 3.85/4.02 Clause #4 (by clausification #[3]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop),
% 3.85/4.02 Or (Eq (∀ (Xx Xy Xz : Iota → Prop), And (a Xx Xy) (a Xy Xz) → a Xx Xz) False)
% 3.85/4.02 (Eq (a (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 Clause #5 (by clausification #[4]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop) (a_1 : Iota → Prop),
% 3.85/4.02 Or (Eq (a (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 (Eq (Not (∀ (Xy Xz : Iota → Prop), And (a (skS.0 0 a a_1) Xy) (a Xy Xz) → a (skS.0 0 a a_1) Xz)) True)
% 3.85/4.02 Clause #6 (by clausification #[5]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop) (a_1 : Iota → Prop),
% 3.85/4.02 Or (Eq (a (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 (Eq (∀ (Xy Xz : Iota → Prop), And (a (skS.0 0 a a_1) Xy) (a Xy Xz) → a (skS.0 0 a a_1) Xz) False)
% 3.85/4.02 Clause #7 (by clausification #[6]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop) (a_1 a_2 : Iota → Prop),
% 3.85/4.02 Or (Eq (a (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 (Eq
% 3.85/4.02 (Not
% 3.85/4.02 (∀ (Xz : Iota → Prop),
% 3.85/4.02 And (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (a (skS.0 1 a a_1 a_2) Xz) → a (skS.0 0 a a_1) Xz))
% 3.85/4.02 True)
% 3.85/4.02 Clause #8 (by clausification #[7]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop) (a_1 a_2 : Iota → Prop),
% 3.85/4.02 Or (Eq (a (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 (Eq
% 3.85/4.02 (∀ (Xz : Iota → Prop),
% 3.85/4.02 And (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (a (skS.0 1 a a_1 a_2) Xz) → a (skS.0 0 a a_1) Xz)
% 3.85/4.02 False)
% 3.85/4.02 Clause #9 (by clausification #[8]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop) (a_1 a_2 a_3 : Iota → Prop),
% 3.85/4.02 Or (Eq (a (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 (Eq
% 3.85/4.02 (Not
% 3.85/4.02 (And (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) →
% 3.85/4.02 a (skS.0 0 a a_1) (skS.0 2 a a_1 a_2 a_3)))
% 3.85/4.02 True)
% 3.85/4.02 Clause #10 (by clausification #[9]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop) (a_1 a_2 a_3 : Iota → Prop),
% 3.85/4.02 Or (Eq (a (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 (Eq
% 3.85/4.02 (And (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) →
% 3.85/4.02 a (skS.0 0 a a_1) (skS.0 2 a a_1 a_2 a_3))
% 3.85/4.02 False)
% 3.85/4.02 Clause #11 (by clausification #[10]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop) (a_1 a_2 a_3 : Iota → Prop),
% 3.85/4.02 Or (Eq (a (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 (Eq (And (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3))) True)
% 3.85/4.02 Clause #13 (by clausification #[11]): ∀ (a : (Iota → Prop) → (Iota → Prop) → Prop) (a_1 a_2 a_3 : Iota → Prop),
% 3.85/4.02 Or (Eq (a (fun Xx => True) fun Xx => False) True) (Eq (a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) True)
% 3.85/4.02 Clause #21 (by equality factoring #[13]): ∀ (a : Prop), Or (Ne True True) (Eq ((fun x x => a) (fun Xx => True) fun Xx => False) True)
% 3.85/4.02 Clause #47 (by betaEtaReduce #[21]): ∀ (a : Prop), Or (Ne True True) (Eq a True)
% 3.85/4.02 Clause #48 (by clausification #[47]): ∀ (a : Prop), Or (Eq a True) (Or (Eq True False) (Eq True False))
% 3.85/4.02 Clause #50 (by clausification #[48]): ∀ (a : Prop), Or (Eq a True) (Eq True False)
% 3.85/4.02 Clause #51 (by clausification #[50]): ∀ (a : Prop), Eq a True
% 3.85/4.02 Clause #52 (by falseElim #[51]): False
% 3.85/4.02 SZS output end Proof for theBenchmark.p
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