%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO232^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n015.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 08:59:40 EDT 2024

% Result   : Theorem 2.32s 1.47s
% Output   : Refutation 2.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   15 (   2 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   19 (   3   ~;   0   |;   0   &;   8   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^   1   !;   3   ?;   4   :)

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

thf(cP_type,type,
    cP: a > $o ).

thf(x_type,type,
    x: a ).

thf(cB_type,type,
    cB: $o ).

thf(y_type,type,
    y: $i ).

thf(1,conjecture,
    ( ( ( y = y )
     => cB )
   => ( ( cP @ x )
     => ? [A: a] : ( cP @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cADDHYP4) ).

thf(2,negated_conjecture,
    ~ ( ( ( y = y )
       => cB )
     => ( ( cP @ x )
       => ? [A: a] : ( cP @ A ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( cB
     => ( ( cP @ x )
       => ? [A: a] : ( cP @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    cP @ x,
    inference(cnf,[status(esa)],[3]) ).

thf(4,plain,
    ! [A: a] :
      ~ ( cP @ A ),
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    $false,
    inference(rewrite,[status(thm)],[5,4]) ).

thf(8,plain,
    $false,
    inference(simp,[status(thm)],[7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYO232^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n015.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 09:34:24 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.86/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.20/0.96  % [INFO] 	 Parsing done (99ms). 
% 1.20/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.63/1.18  % [INFO] 	 nitpick registered as external prover. 
% 1.63/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.73/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.80/1.25  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.80/1.25  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.80/1.26  % [INFO] 	 Type checking passed. 
% 1.80/1.26  % [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 ... 
% 2.32/1.47  % [INFO] 	 Killing All external provers ... 
% 2.32/1.47  % Time passed: 948ms (effective reasoning time: 500ms)
% 2.32/1.47  % 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)>
% 2.32/1.47  % Axioms used in derivation (0): 
% 2.32/1.47  % No. of inferences in proof: 7
% 2.32/1.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 948 ms resp. 500 ms w/o parsing
% 2.32/1.49  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.32/1.49  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------