%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN972+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n007.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 02:13:29 EDT 2023

% Result   : Theorem 3.36s 3.54s
% Output   : Proof 3.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN972+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command    : duper %s
% 0.15/0.36  % Computer : n007.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 18:02:12 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 3.36/3.54  SZS status Theorem for theBenchmark.p
% 3.36/3.54  SZS output start Proof for theBenchmark.p
% 3.36/3.54  Clause #0 (by assumption #[]): Eq (Not ((Exists fun X => ∀ (Y : Iota), p X Y) → ∀ (Y : Iota), Exists fun X => p X Y)) True
% 3.36/3.54  Clause #1 (by clausification #[0]): Eq ((Exists fun X => ∀ (Y : Iota), p X Y) → ∀ (Y : Iota), Exists fun X => p X Y) False
% 3.36/3.54  Clause #2 (by clausification #[1]): Eq (Exists fun X => ∀ (Y : Iota), p X Y) True
% 3.36/3.54  Clause #3 (by clausification #[1]): Eq (∀ (Y : Iota), Exists fun X => p X Y) False
% 3.36/3.54  Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), p (skS.0 0 a) Y) True
% 3.36/3.54  Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (p (skS.0 0 a) a_1) True
% 3.36/3.54  Clause #6 (by clausification #[3]): ∀ (a : Iota), Eq (Not (Exists fun X => p X (skS.0 1 a))) True
% 3.36/3.54  Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (Exists fun X => p X (skS.0 1 a)) False
% 3.36/3.54  Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (p a (skS.0 1 a_1)) False
% 3.36/3.54  Clause #9 (by superposition #[8, 5]): Eq False True
% 3.36/3.54  Clause #10 (by clausification #[9]): False
% 3.36/3.55  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------