%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SET054+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n020.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 : Tue May 21 03:05:06 EDT 2024

% Result   : Theorem 5.54s 2.85s
% Output   : Refutation 5.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   26 (   7 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   54 (   6   ~;   2   |;   7   &;  34   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subclass_type,type,
    subclass: $i > $i > $o ).

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

thf(1,conjecture,
    ! [A: $i] : ( subclass @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subclass) ).

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

thf(46,plain,
    ~ ! [A: $i] : ( subclass @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(47,plain,
    ~ ( subclass @ sk1 @ sk1 ),
    inference(cnf,[status(esa)],[46]) ).

thf(34,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( subclass @ A @ B )
        & ( subclass @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).

thf(200,plain,
    ! [A: $i,B: $i] :
      ( ( ( A = B )
       => ( ( subclass @ A @ B )
          & ( subclass @ B @ A ) ) )
      & ( ( ( subclass @ A @ B )
          & ( subclass @ B @ A ) )
       => ( A = B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(201,plain,
    ( ! [A: $i,B: $i] :
        ( ( A = B )
       => ( ( subclass @ A @ B )
          & ( subclass @ B @ A ) ) )
    & ! [A: $i,B: $i] :
        ( ( ( subclass @ A @ B )
          & ( subclass @ B @ A ) )
       => ( A = B ) ) ),
    inference(miniscope,[status(thm)],[200]) ).

thf(203,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( subclass @ A @ B ) ),
    inference(cnf,[status(esa)],[201]) ).

thf(207,plain,
    ! [B: $i,A: $i] :
      ( ( A != B )
      | ( subclass @ A @ B ) ),
    inference(lifteq,[status(thm)],[203]) ).

thf(208,plain,
    ! [A: $i] : ( subclass @ A @ A ),
    inference(simp,[status(thm)],[207]) ).

thf(260,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[47,208]) ).

thf(261,plain,
    $false,
    inference(simp,[status(thm)],[260]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET054+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.11/0.11  % Command  : run_Leo-III %s %d
% 0.11/0.31  % Computer : n020.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Mon May 20 13:03:54 EDT 2024
% 0.11/0.31  % CPUTime  : 
% 1.00/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.30/1.13  % [INFO] 	 Parsing done (199ms). 
% 1.30/1.15  % [INFO] 	 Running in sequential loop mode. 
% 2.09/1.50  % [INFO] 	 nitpick registered as external prover. 
% 2.15/1.51  % [INFO] 	 Scanning for conjecture ... 
% 2.21/1.61  % [INFO] 	 Found a conjecture (or negated_conjecture) and 43 axioms. Running axiom selection ... 
% 2.34/1.69  % [INFO] 	 Axiom selection finished. Selected 43 axioms (removed 0 axioms). 
% 2.82/1.78  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.85/1.79  % [INFO] 	 Type checking passed. 
% 2.85/1.80  % [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 ... 
% 5.54/2.85  % [INFO] 	 Killing All external provers ... 
% 5.54/2.85  % Time passed: 2386ms (effective reasoning time: 1694ms)
% 5.54/2.85  % 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)>
% 5.54/2.85  % Axioms used in derivation (1): extensionality
% 5.54/2.85  % No. of inferences in proof: 12
% 5.54/2.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2386 ms resp. 1694 ms w/o parsing
% 5.54/2.88  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.54/2.88  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------