%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SEU536^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n006.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 03:42:33 EDT 2024

% Result   : Theorem 2.76s 2.02s
% Output   : Refutation 2.97s
% 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 :   52 (  11   ~;   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     :    6 (   4 usr;   3 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/sandbox2/benchmark/theBenchmark.p',quantDeMorgan1) ).

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

thf(4,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk1 )
      | ( sk2 @ A ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    ! [A: $i] :
      ( ( sk2 @ A )
      | ( ( in @ sk3 @ sk1 )
       != ( in @ A @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[6,4]) ).

thf(8,plain,
    sk2 @ sk3,
    inference(pattern_uni,[status(thm)],[7:[bind(A,$thf( sk3 ))]]) ).

thf(5,plain,
    ~ ( sk2 @ sk3 ),
    inference(cnf,[status(esa)],[3]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SEU536^2 : TPTP v8.2.0. Released v3.7.0.
% 0.09/0.12  % Command  : run_Leo-III %s %d
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sun May 19 16:23:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 1.01/0.95  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.26/1.13  % [INFO] 	 Parsing done (180ms). 
% 1.26/1.14  % [INFO] 	 Running in sequential loop mode. 
% 1.88/1.51  % [INFO] 	 nitpick registered as external prover. 
% 1.88/1.51  % [INFO] 	 Scanning for conjecture ... 
% 1.98/1.59  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.07/1.63  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.07/1.63  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.07/1.63  % [INFO] 	 Type checking passed. 
% 2.07/1.64  % [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 ... 
% 2.76/2.01  % [INFO] 	 Killing All external provers ... 
% 2.76/2.02  % Time passed: 1540ms (effective reasoning time: 867ms)
% 2.76/2.02  % 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)>
% 2.76/2.02  % Axioms used in derivation (0): 
% 2.76/2.02  % No. of inferences in proof: 10
% 2.76/2.02  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1540 ms resp. 867 ms w/o parsing
% 2.97/2.10  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.97/2.10  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------