%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN986+1.000 : 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 02:13:33 EDT 2023

% Result   : Theorem 3.30s 3.51s
% Output   : Proof 3.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN986+1.000 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : duper %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 21:41:47 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 3.30/3.51  SZS status Theorem for theBenchmark.p
% 3.30/3.51  SZS output start Proof for theBenchmark.p
% 3.30/3.51  Clause #0 (by assumption #[]): Eq (∀ (Y : Iota), r Y zero (succ Y)) True
% 3.30/3.51  Clause #2 (by assumption #[]): Eq (Not (Exists fun Z0 => r zero zero Z0)) True
% 3.30/3.51  Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (r a zero (succ a)) True
% 3.30/3.51  Clause #4 (by betaEtaReduce #[2]): Eq (Not (Exists (r zero zero))) True
% 3.30/3.51  Clause #5 (by clausification #[4]): Eq (Exists (r zero zero)) False
% 3.30/3.51  Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (r zero zero a) False
% 3.30/3.51  Clause #7 (by superposition #[6, 3]): Eq False True
% 3.30/3.51  Clause #8 (by clausification #[7]): False
% 3.30/3.51  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------