%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYO262^5 : 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 : Fri Sep  1 04:22:00 EDT 2023

% Result   : Theorem 3.58s 3.73s
% Output   : Proof 3.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYO262^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.15/0.36  % Computer : n008.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   : Sat Aug 26 03:37:32 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 3.58/3.73  SZS status Theorem for theBenchmark.p
% 3.58/3.73  SZS output start Proof for theBenchmark.p
% 3.58/3.73  Clause #0 (by assumption #[]): Eq
% 3.58/3.73    (Not
% 3.58/3.73      (Not
% 3.58/3.73        (And (∀ (Xx : Iota), cP Xx (cE fun Xy => cP Xx Xy))
% 3.58/3.73          (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx)))))))))
% 3.58/3.73    True
% 3.58/3.73  Clause #1 (by betaEtaReduce #[0]): Eq
% 3.58/3.73    (Not
% 3.58/3.73      (Not
% 3.58/3.73        (And (∀ (Xx : Iota), cP Xx (cE (cP Xx)))
% 3.58/3.73          (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx)))))))))
% 3.58/3.73    True
% 3.58/3.73  Clause #2 (by clausification #[1]): Eq
% 3.58/3.73    (Not
% 3.58/3.73      (And (∀ (Xx : Iota), cP Xx (cE (cP Xx)))
% 3.58/3.73        (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx))))))))
% 3.58/3.73    False
% 3.58/3.73  Clause #3 (by clausification #[2]): Eq
% 3.58/3.73    (And (∀ (Xx : Iota), cP Xx (cE (cP Xx)))
% 3.58/3.73      (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx)))))))
% 3.58/3.73    True
% 3.58/3.73  Clause #4 (by clausification #[3]): Eq (∀ (Xf : Iota → Iota), Not (cP (cE fun Xx => Not (cP Xx (Xf Xx))) (Xf (cE fun Xx => Not (cP Xx (Xf Xx)))))) True
% 3.58/3.73  Clause #5 (by clausification #[3]): Eq (∀ (Xx : Iota), cP Xx (cE (cP Xx))) True
% 3.58/3.73  Clause #6 (by clausification #[4]): ∀ (a : Iota → Iota), Eq (Not (cP (cE fun Xx => Not (cP Xx (a Xx))) (a (cE fun Xx => Not (cP Xx (a Xx)))))) True
% 3.58/3.73  Clause #7 (by clausification #[6]): ∀ (a : Iota → Iota), Eq (cP (cE fun Xx => Not (cP Xx (a Xx))) (a (cE fun Xx => Not (cP Xx (a Xx))))) False
% 3.58/3.73  Clause #12 (by clausification #[5]): ∀ (a : Iota), Eq (cP a (cE (cP a))) True
% 3.58/3.73  Clause #13 (by superposition #[12, 7]): Eq True False
% 3.58/3.73  Clause #16 (by clausification #[13]): False
% 3.58/3.73  SZS output end Proof for theBenchmark.p
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