%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n001.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 : Mon Jun 24 16:00:09 EDT 2024

% Result   : Theorem 2.35s 1.50s
% Output   : Refutation 2.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   60 (   6 equ;   0 cnn)
%            Maximal formula atoms :    7 (   6 avg)
%            Number of connectives :   99 (  11   ~;  24   |;  14   &;  50   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^   3   !;   0   ?;   3   :)

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

thf(cZ_type,type,
    cZ: a > $o ).

thf(cY_type,type,
    cY: a > $o ).

thf(cX_type,type,
    cX: a > $o ).

thf(sk1_type,type,
    sk1: a ).

thf(1,conjecture,
    ! [A: a] :
      ( ( ( ( cX @ A )
          & ( cY @ A ) )
        | ( cZ @ A ) )
      = ( ( ( cX @ A )
          | ( cZ @ A ) )
        & ( ( cY @ A )
          | ( cZ @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM59_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: a] :
        ( ( ( ( cX @ A )
            & ( cY @ A ) )
          | ( cZ @ A ) )
        = ( ( ( cX @ A )
            | ( cZ @ A ) )
          & ( ( cY @ A )
            | ( cZ @ A ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: a] :
        ( ( ( ( cX @ A )
            & ( cY @ A ) )
          | ( cZ @ A ) )
        = ( ( ( cX @ A )
            | ( cZ @ A ) )
          & ( ( cY @ A )
            | ( cZ @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ( ( cX @ sk1 )
        & ( cY @ sk1 ) )
      | ( cZ @ sk1 ) )
   != ( ( ( cX @ sk1 )
        | ( cZ @ sk1 ) )
      & ( ( cY @ sk1 )
        | ( cZ @ sk1 ) ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ( ( cX @ sk1 )
        | ( cZ @ sk1 ) )
      & ( ( cY @ sk1 )
        | ( cZ @ sk1 ) ) )
   != ( ( ( cX @ sk1 )
        & ( cY @ sk1 ) )
      | ( cZ @ sk1 ) ) ),
    inference(lifteq,[status(thm)],[4]) ).

thf(6,plain,
    ( ~ ( ( ( cX @ sk1 )
          | ( cZ @ sk1 ) )
        & ( ( cY @ sk1 )
          | ( cZ @ sk1 ) ) )
    | ~ ( ( ( cX @ sk1 )
          & ( cY @ sk1 ) )
        | ( cZ @ sk1 ) ) ),
    inference(bool_ext,[status(thm)],[5]) ).

thf(10,plain,
    ( ~ ( cZ @ sk1 )
    | ~ ( cZ @ sk1 )
    | ~ ( cZ @ sk1 ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(16,plain,
    ~ ( cZ @ sk1 ),
    inference(simp,[status(thm)],[10]) ).

thf(29,plain,
    ( ( ( ( cX @ sk1 )
        | $false )
      & ( ( cY @ sk1 )
        | $false ) )
   != ( ( ( cX @ sk1 )
        & ( cY @ sk1 ) )
      | $false ) ),
    inference(rewrite,[status(thm)],[5,16]) ).

thf(30,plain,
    $false,
    inference(simp,[status(thm)],[29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_Leo-III %s %d SAT
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jun 21 18:41:55 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.97/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.25/0.98  % [INFO] 	 Parsing done (108ms). 
% 1.25/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.59/1.19  % [INFO] 	 nitpick registered as external prover. 
% 1.59/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.78/1.24  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.78/1.26  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.78/1.26  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.78/1.26  % [INFO] 	 Type checking passed. 
% 1.85/1.26  % [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 ... 
% 2.35/1.49  % [INFO] 	 Killing All external provers ... 
% 2.35/1.50  % Time passed: 956ms (effective reasoning time: 500ms)
% 2.35/1.50  % 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)>
% 2.35/1.50  % Axioms used in derivation (0): 
% 2.35/1.50  % No. of inferences in proof: 10
% 2.35/1.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 956 ms resp. 500 ms w/o parsing
% 2.52/1.54  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.52/1.54  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------