%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN402+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n031.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 02:11:38 EDT 2023

% Result   : Theorem 3.42s 3.58s
% Output   : Proof 3.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN402+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command    : duper %s
% 0.15/0.36  % Computer : n031.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 22:14:08 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 3.42/3.58  SZS status Theorem for theBenchmark.p
% 3.42/3.58  SZS output start Proof for theBenchmark.p
% 3.42/3.58  Clause #0 (by assumption #[]): Eq (Not (∀ (X : Iota), f X → Exists fun Y => f Y)) True
% 3.42/3.58  Clause #1 (by betaEtaReduce #[0]): Eq (Not (∀ (X : Iota), f X → Exists f)) True
% 3.42/3.58  Clause #2 (by clausification #[1]): Eq (∀ (X : Iota), f X → Exists f) False
% 3.42/3.58  Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (Not (f (skS.0 0 a) → Exists f)) True
% 3.42/3.58  Clause #4 (by clausification #[3]): ∀ (a : Iota), Eq (f (skS.0 0 a) → Exists f) False
% 3.42/3.58  Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (f (skS.0 0 a)) True
% 3.42/3.58  Clause #6 (by clausification #[4]): Eq (Exists f) False
% 3.42/3.58  Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (f a) False
% 3.42/3.58  Clause #8 (by superposition #[7, 5]): Eq False True
% 3.42/3.58  Clause #9 (by clausification #[8]): False
% 3.42/3.58  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------