%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SEU537^2 : TPTP v8.2.0. Released v3.7.0.
% 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 03:42:34 EDT 2024

% Result   : Theorem 2.05s 1.29s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   17 (   1 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   55 (  14   ~;   2   |;   3   &;  30   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^  11   !;   3   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(in_type,type,
    in: $i > $i > $o ).

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

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

thf(sk3_type,type,
    sk3: $i ).

thf(1,conjecture,
    ! [A: $i,B: $i > $o] :
      ( ! [C: $i] :
          ( ( in @ C @ A )
         => ~ ( B @ C ) )
     => ~ ? [C: $i] :
            ( ( in @ C @ A )
            & ( B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan2) ).

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

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

thf(5,plain,
    in @ sk3 @ sk1,
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk1 )
      | ~ ( sk2 @ A ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(9,plain,
    ! [A: $i] :
      ( ~ ( sk2 @ A )
      | ( ( in @ sk3 @ sk1 )
       != ( in @ A @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[5,6]) ).

thf(10,plain,
    ~ ( sk2 @ sk3 ),
    inference(pattern_uni,[status(thm)],[9:[bind(A,$thf( sk3 ))]]) ).

thf(4,plain,
    sk2 @ sk3,
    inference(cnf,[status(esa)],[3]) ).

thf(11,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[10,4]) ).

thf(12,plain,
    $false,
    inference(simp,[status(thm)],[11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SEU537^2 : TPTP v8.2.0. Released v3.7.0.
% 0.05/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.30  % Computer : n024.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Sun May 19 16:48:24 EDT 2024
% 0.11/0.30  % CPUTime  : 
% 0.77/0.69  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.98/0.78  % [INFO] 	 Parsing done (92ms). 
% 0.98/0.79  % [INFO] 	 Running in sequential loop mode. 
% 1.38/0.98  % [INFO] 	 nitpick registered as external prover. 
% 1.38/0.99  % [INFO] 	 Scanning for conjecture ... 
% 1.38/1.03  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.56/1.05  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.56/1.05  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.56/1.06  % [INFO] 	 Type checking passed. 
% 1.56/1.06  % [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 ... 
% 2.05/1.29  % [INFO] 	 Killing All external provers ... 
% 2.05/1.29  % Time passed: 863ms (effective reasoning time: 493ms)
% 2.05/1.29  % 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)>
% 2.05/1.29  % Axioms used in derivation (0): 
% 2.05/1.29  % No. of inferences in proof: 10
% 2.05/1.29  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 863 ms resp. 493 ms w/o parsing
% 2.05/1.31  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.05/1.31  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------