%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : DAT144^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n026.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 : Wed Aug 30 22:12:22 EDT 2023

% Result   : Theorem 4.24s 4.41s
% Output   : Proof 4.24s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : DAT144^1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.14  % Command    : duper %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 15:11:02 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 4.24/4.41  SZS status Theorem for theBenchmark.p
% 4.24/4.41  SZS output start Proof for theBenchmark.p
% 4.24/4.41  Clause #0 (by assumption #[]): Eq (∀ (A : Type) (P : A → Prop) (Q : A → A → Prop) (X : A), Eq (bNF_eq_onp A P) Q → Eq (P X) (Q X X)) True
% 4.24/4.41  Clause #302 (by assumption #[]): Eq (p x) True
% 4.24/4.41  Clause #303 (by assumption #[]): Eq (Not (bNF_eq_onp a p x x)) True
% 4.24/4.41  Clause #304 (by clausification #[0]): ∀ (a : Type), Eq (∀ (P : a → Prop) (Q : a → a → Prop) (X : a), Eq (bNF_eq_onp a P) Q → Eq (P X) (Q X X)) True
% 4.24/4.41  Clause #305 (by clausification #[304]): ∀ (a : Type) (a_1 : a → Prop), Eq (∀ (Q : a → a → Prop) (X : a), Eq (bNF_eq_onp a a_1) Q → Eq (a_1 X) (Q X X)) True
% 4.24/4.41  Clause #306 (by clausification #[305]): ∀ (a : Type) (a_1 : a → Prop) (a_2 : a → a → Prop),
% 4.24/4.41    Eq (∀ (X : a), Eq (bNF_eq_onp a a_1) a_2 → Eq (a_1 X) (a_2 X X)) True
% 4.24/4.41  Clause #307 (by clausification #[306]): ∀ (a : Type) (a_1 : a → Prop) (a_2 : a → a → Prop) (a_3 : a),
% 4.24/4.41    Eq (Eq (bNF_eq_onp a a_1) a_2 → Eq (a_1 a_3) (a_2 a_3 a_3)) True
% 4.24/4.41  Clause #308 (by clausification #[307]): ∀ (a : Type) (a_1 : a → Prop) (a_2 : a → a → Prop) (a_3 : a),
% 4.24/4.41    Or (Eq (Eq (bNF_eq_onp a a_1) a_2) False) (Eq (Eq (a_1 a_3) (a_2 a_3 a_3)) True)
% 4.24/4.41  Clause #309 (by clausification #[308]): ∀ (a : Type) (a_1 : a → Prop) (a_2 : a) (a_3 : a → a → Prop),
% 4.24/4.41    Or (Eq (Eq (a_1 a_2) (a_3 a_2 a_2)) True) (Ne (bNF_eq_onp a a_1) a_3)
% 4.24/4.41  Clause #310 (by clausification #[309]): ∀ (a : Type) (a_1 : a → Prop) (a_2 : a → a → Prop) (a_3 : a),
% 4.24/4.41    Or (Ne (bNF_eq_onp a a_1) a_2) (Eq (a_1 a_3) (a_2 a_3 a_3))
% 4.24/4.41  Clause #311 (by destructive equality resolution #[310]): ∀ (a : Type) (a_1 : a → Prop) (a_2 : a), Eq (a_1 a_2) (bNF_eq_onp a a_1 a_2 a_2)
% 4.24/4.41  Clause #732 (by clausification #[303]): Eq (bNF_eq_onp a p x x) False
% 4.24/4.41  Clause #733 (by superposition #[732, 311]): Eq (p x) False
% 4.24/4.41  Clause #734 (by superposition #[733, 302]): Eq False True
% 4.24/4.41  Clause #735 (by clausification #[734]): False
% 4.24/4.41  SZS output end Proof for theBenchmark.p
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