TSTP Solution File: SEV122^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SEV122^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n022.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 19:24:17 EDT 2023
% Result : Theorem 3.48s 3.74s
% Output : Proof 3.48s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV122^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n022.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 03:31:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.48/3.74 SZS status Theorem for theBenchmark.p
% 3.48/3.74 SZS output start Proof for theBenchmark.p
% 3.48/3.74 Clause #0 (by assumption #[]): Eq
% 3.48/3.74 (Not
% 3.48/3.74 (∀ (PROP : (a → a → Prop) → Prop),
% 3.48/3.74 ((a → a → Prop) → Prop) →
% 3.48/3.74 Eq
% 3.48/3.74 (fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop), And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (PROP Xp) → Xp Xx Xy)
% 3.48/3.74 fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop), And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (PROP Xp) → Xp Xx Xy))
% 3.48/3.74 True
% 3.48/3.74 Clause #1 (by clausification #[0]): Eq
% 3.48/3.74 (∀ (PROP : (a → a → Prop) → Prop),
% 3.48/3.74 ((a → a → Prop) → Prop) →
% 3.48/3.74 Eq
% 3.48/3.74 (fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop), And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (PROP Xp) → Xp Xx Xy)
% 3.48/3.74 fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop), And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (PROP Xp) → Xp Xx Xy)
% 3.48/3.74 False
% 3.48/3.74 Clause #2 (by clausification #[1]): ∀ (a_1 : (a → a → Prop) → Prop),
% 3.48/3.74 Eq
% 3.48/3.74 (Not
% 3.48/3.74 (((a → a → Prop) → Prop) →
% 3.48/3.74 Eq
% 3.48/3.74 (fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy)
% 3.48/3.74 fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy))
% 3.48/3.74 True
% 3.48/3.74 Clause #3 (by clausification #[2]): ∀ (a_1 : (a → a → Prop) → Prop),
% 3.48/3.74 Eq
% 3.48/3.74 (((a → a → Prop) → Prop) →
% 3.48/3.74 Eq
% 3.48/3.74 (fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy)
% 3.48/3.74 fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy)
% 3.48/3.74 False
% 3.48/3.74 Clause #4 (by clausification #[3]): ∀ (a_1 : (a → a → Prop) → Prop),
% 3.48/3.74 ((a → a → Prop) → Prop) →
% 3.48/3.74 Eq
% 3.48/3.74 (Not
% 3.48/3.74 (Eq
% 3.48/3.74 (fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy)
% 3.48/3.74 fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy))
% 3.48/3.74 True
% 3.48/3.74 Clause #5 (by clausification #[4]): ∀ (a_1 : (a → a → Prop) → Prop),
% 3.48/3.74 Eq
% 3.48/3.74 (Eq
% 3.48/3.74 (fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy)
% 3.48/3.74 fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy)
% 3.48/3.74 False
% 3.48/3.74 Clause #6 (by clausification #[5]): ∀ (a_1 : (a → a → Prop) → Prop),
% 3.48/3.74 Ne
% 3.48/3.74 (fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop),
% 3.48/3.74 And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy)
% 3.48/3.74 fun Xx Xy =>
% 3.48/3.74 ∀ (Xp : a → a → Prop), And (∀ (Xx0 Xy0 : a), (Exists fun R => R Xx0 Xy0) → Xp Xx0 Xy0) (skS.0 0 a_1 Xp) → Xp Xx Xy
% 3.48/3.74 Clause #7 (by eliminate resolved literals #[6]): False
% 3.48/3.74 SZS output end Proof for theBenchmark.p
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