%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SEU922^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n006.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 16:44:19 EDT 2023

% Result   : Theorem 3.52s 3.72s
% Output   : Proof 3.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU922^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.34  % Computer : n006.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   : Wed Aug 23 13:04:38 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 3.52/3.72  SZS status Theorem for theBenchmark.p
% 3.52/3.72  SZS output start Proof for theBenchmark.p
% 3.52/3.72  Clause #0 (by assumption #[]): Eq (Not ((Eq (fun Xx => f (g Xx)) fun Xx => g (f Xx)) → cP (f (f (g a))) → cP (g (f (f a))))) True
% 3.52/3.72  Clause #1 (by clausification #[0]): Eq ((Eq (fun Xx => f (g Xx)) fun Xx => g (f Xx)) → cP (f (f (g a))) → cP (g (f (f a)))) False
% 3.52/3.72  Clause #2 (by clausification #[1]): Eq (Eq (fun Xx => f (g Xx)) fun Xx => g (f Xx)) True
% 3.52/3.72  Clause #3 (by clausification #[1]): Eq (cP (f (f (g a))) → cP (g (f (f a)))) False
% 3.52/3.72  Clause #4 (by clausification #[2]): Eq (fun Xx => f (g Xx)) fun Xx => g (f Xx)
% 3.52/3.72  Clause #5 (by argument congruence #[4]): ∀ (a : Iota), Eq ((fun Xx => f (g Xx)) a) ((fun Xx => g (f Xx)) a)
% 3.52/3.72  Clause #6 (by clausification #[3]): Eq (cP (f (f (g a)))) True
% 3.52/3.72  Clause #7 (by clausification #[3]): Eq (cP (g (f (f a)))) False
% 3.52/3.72  Clause #8 (by betaEtaReduce #[5]): ∀ (a : Iota), Eq (f (g a)) (g (f a))
% 3.52/3.72  Clause #9 (by backward demodulation #[8, 7]): Eq (cP (f (g (f a)))) False
% 3.52/3.72  Clause #10 (by forward demodulation #[9, 8]): Eq (cP (f (f (g a)))) False
% 3.52/3.72  Clause #11 (by superposition #[10, 6]): Eq False True
% 3.52/3.72  Clause #12 (by clausification #[11]): False
% 3.52/3.72  SZS output end Proof for theBenchmark.p
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