%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SET599^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n029.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 03:06:23 EDT 2024

% Result   : Theorem 2.22s 1.57s
% Output   : Refutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   3 unt;   4 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   0 avg)
%            Number of connectives :   53 (  14   ~;   5   |;   9   &;  22   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-1 aty)
%            Number of variables   :    9 (   0   ^   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

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

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

thf(sk3_type,type,
    sk3: a ).

thf(1,conjecture,
    ! [A: a > $o,B: a > $o,C: a] :
      ( ( ( A @ C )
        & ~ ( B @ C ) )
     => ( ( ( A @ C )
          & ~ ( B @ C ) )
        | ( ( B @ C )
          & ~ ( A @ C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_58_pme) ).

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

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

thf(5,plain,
    ( ~ ( sk1 @ sk3 )
    | ( sk2 @ sk3 ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    ~ ( sk2 @ sk3 ),
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    sk1 @ sk3,
    inference(cnf,[status(esa)],[3]) ).

thf(9,plain,
    ( ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[5,6,7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SET599^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon May 20 13:19:23 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.93/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.19/1.03  % [INFO] 	 Parsing done (143ms). 
% 1.19/1.03  % [INFO] 	 Running in sequential loop mode. 
% 1.51/1.28  % [INFO] 	 nitpick registered as external prover. 
% 1.51/1.28  % [INFO] 	 Scanning for conjecture ... 
% 1.73/1.34  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.73/1.36  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.73/1.36  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.73/1.36  % [INFO] 	 Type checking passed. 
% 1.73/1.36  % [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 ... 
% 2.22/1.56  % [INFO] 	 Killing All external provers ... 
% 2.22/1.57  % Time passed: 1037ms (effective reasoning time: 526ms)
% 2.22/1.57  % 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)>
% 2.22/1.57  % Axioms used in derivation (0): 
% 2.22/1.57  % No. of inferences in proof: 8
% 2.22/1.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1037 ms resp. 526 ms w/o parsing
% 2.22/1.58  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.22/1.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------