%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO094^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 08:55:48 EDT 2024

% Result   : Theorem 2.47s 1.51s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   5 unt;   2 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (   5   ~;   0   |;   0   &;  38   @)
%                                         (   0 <=>;  12  =>;   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     :    4 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^  11   !;   7   ?;  18   :)

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

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

thf(1,conjecture,
    ( ( ? [A: $i] : ( cR @ A @ A )
     => ! [A: $i] : ( cR @ A @ A ) )
   => ? [A: $i] :
      ! [B: $i] :
        ( ( cR @ A @ A )
       => ( cR @ B @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM55A) ).

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

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

thf(4,plain,
    ~ ( ( ? [A: $i] : ( cR @ A @ A )
       => ! [A: $i] : ( cR @ A @ A ) )
     => ( ! [A: $i] : ( cR @ A @ A )
       => ! [A: $i] : ( cR @ A @ A ) ) ),
    inference(miniscope,[status(thm)],[3]) ).

thf(5,plain,
    ~ ( cR @ sk1 @ sk1 ),
    inference(cnf,[status(esa)],[4]) ).

thf(6,plain,
    ! [A: $i] : ( cR @ A @ A ),
    inference(cnf,[status(esa)],[4]) ).

thf(8,plain,
    ! [A: $i] : ( cR @ A @ A ),
    inference(simp,[status(thm)],[6]) ).

thf(9,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[5,8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO094^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n024.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 : Mon May 20 09:35:24 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.93/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.21/0.94  % [INFO] 	 Parsing done (92ms). 
% 1.21/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.60/1.15  % [INFO] 	 eprover registered as external prover. 
% 1.60/1.15  % [INFO] 	 cvc4 registered as external prover. 
% 1.60/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.68/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.68/1.22  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.68/1.22  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.68/1.23  % [INFO] 	 Type checking passed. 
% 1.84/1.23  % [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 ... 
% 2.47/1.47  % [INFO] 	 Killing All external provers ... 
% 2.47/1.51  % Time passed: 955ms (effective reasoning time: 518ms)
% 2.47/1.51  % 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)>
% 2.47/1.51  % Axioms used in derivation (0): 
% 2.47/1.51  % No. of inferences in proof: 9
% 2.47/1.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 955 ms resp. 518 ms w/o parsing
% 2.65/1.53  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.65/1.53  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------