%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SEV388^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n028.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 : Mon Jun 24 16:00:08 EDT 2024

% Result   : Theorem 2.45s 1.57s
% Output   : Refutation 2.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   29 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   20 (   3   ~;   0   |;   0   &;  11   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cS_type,type,
    cS: $i > $o ).

thf(cR_type,type,
    cR: $i > $o ).

thf(sk1_type,type,
    sk1: $i ).

thf(1,conjecture,
    ( ( cR = cS )
   => ! [A: $i] :
        ( ( cR @ A )
       => ( cS @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM36_pme) ).

thf(2,negated_conjecture,
    ~ ( ( cR = cS )
     => ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( cR = cS )
     => ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    cR @ sk1,
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    cR = cS,
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    cR = cS,
    inference(lifteq,[status(thm)],[6]) ).

thf(8,plain,
    ! [A: $i] :
      ( ( cR @ A )
      = ( cS @ A ) ),
    inference(func_ext,[status(esa)],[7]) ).

thf(9,plain,
    cS @ sk1,
    inference(rewrite,[status(thm)],[5,8]) ).

thf(4,plain,
    ~ ( cS @ sk1 ),
    inference(cnf,[status(esa)],[3]) ).

thf(16,plain,
    $false,
    inference(rewrite,[status(thm)],[9,4]) ).

thf(17,plain,
    $false,
    inference(simp,[status(thm)],[16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEV388^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_Leo-III %s %d SAT
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jun 21 18:54:55 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 1.03/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.27/1.03  % [INFO] 	 Parsing done (111ms). 
% 1.27/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.72/1.24  % [INFO] 	 nitpick registered as external prover. 
% 1.72/1.25  % [INFO] 	 Scanning for conjecture ... 
% 1.72/1.29  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.72/1.31  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.72/1.31  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.72/1.32  % [INFO] 	 Type checking passed. 
% 1.72/1.32  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 2.45/1.57  % [INFO] 	 Killing All external provers ... 
% 2.45/1.57  % Time passed: 1048ms (effective reasoning time: 529ms)
% 2.45/1.57  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.45/1.57  % Axioms used in derivation (0): 
% 2.45/1.57  % No. of inferences in proof: 11
% 2.45/1.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1048 ms resp. 529 ms w/o parsing
% 2.45/1.63  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.45/1.63  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------