%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SEU504^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n013.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 03:42:21 EDT 2024

% Result   : Theorem 2.81s 2.07s
% Output   : Refutation 2.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   8 unt;   4 typ;   2 def)
%            Number of atoms       :   17 (   5 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   31 (   4   ~;   0   |;   3   &;  15   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   1   ^   9   !;   6   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(exu_type,type,
    exu: ( $i > $o ) > $o ).

thf(exu_def,definition,
    ( exu
    = ( ^ [A: $i > $o] :
        ? [B: $i] :
          ( ( A @ B )
          & ! [C: $i] :
              ( ( A @ C )
             => ( B = C ) ) ) ) ) ).

thf(exuE1_type,type,
    exuE1: $o ).

thf(exuE1_def,definition,
    ( exuE1
    = ( ! [A: $i > $o] :
          ( ( exu @ A )
         => ? [B: $i] :
              ( ( A @ B )
              & ! [C: $i] :
                  ( ( A @ C )
                 => ( B = C ) ) ) ) ) ) ).

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

thf(sk2_type,type,
    sk2: $i ).

thf(1,conjecture,
    ( exuE1
   => ! [A: $i > $o] :
        ( ( exu @ A )
       => ? [B: $i] : ( A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3e) ).

thf(2,negated_conjecture,
    ~ ( exuE1
     => ! [A: $i > $o] :
          ( ( exu @ A )
         => ? [B: $i] : ( A @ B ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: $i > $o] :
        ( ? [B: $i] :
            ( ( A @ B )
            & ! [C: $i] :
                ( ( A @ C )
               => ( B = C ) ) )
       => ? [B: $i] : ( A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,plain,
    sk1 @ sk2,
    inference(cnf,[status(esa)],[3]) ).

thf(4,plain,
    ! [A: $i] :
      ~ ( sk1 @ A ),
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    ! [A: $i] :
      ~ ( sk1 @ A ),
    inference(simp,[status(thm)],[4]) ).

thf(9,plain,
    $false,
    inference(rewrite,[status(thm)],[6,7]) ).

thf(10,plain,
    $false,
    inference(simp,[status(thm)],[9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SEU504^2 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.16  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n013.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Sun May 19 17:56:54 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 1.12/1.04  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.47/1.20  % [INFO] 	 Parsing done (166ms). 
% 1.47/1.22  % [INFO] 	 Running in sequential loop mode. 
% 1.96/1.59  % [INFO] 	 nitpick registered as external prover. 
% 2.05/1.60  % [INFO] 	 Scanning for conjecture ... 
% 2.16/1.69  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.16/1.71  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.16/1.72  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.16/1.72  % [INFO] 	 Type checking passed. 
% 2.16/1.73  % [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 ... 
% 2.81/2.07  % [INFO] 	 Killing All external provers ... 
% 2.81/2.07  % Time passed: 1535ms (effective reasoning time: 845ms)
% 2.81/2.07  % 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)>
% 2.81/2.07  % Axioms used in derivation (0): 
% 2.81/2.07  % No. of inferences in proof: 8
% 2.81/2.07  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1535 ms resp. 845 ms w/o parsing
% 2.94/2.10  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.94/2.10  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------