%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO357^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n025.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 08:56:30 EDT 2024

% Result   : Theorem 2.41s 1.80s
% Output   : Refutation 2.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   2 unt;   3 typ;   0 def)
%            Number of atoms       :   18 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :   28 (   6   ~;   4   |;   4   &;   8   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   6 con; 0-0 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(atype_type,type,
    atype: $tType ).

thf(a_type,type,
    a: $o ).

thf(b_type,type,
    b: $o ).

thf(1,conjecture,
    ( ! [A: atype > $o] :
        ( ( ( a
            | ~ a )
          & ( A @ u ) )
       => ( ( b
            | ~ b )
          & ( A @ v ) ) )
   => ! [A: atype > $o] :
        ( ( A @ u )
       => ( A @ v ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cE2LEIBEQ2_pme) ).

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

thf(3,plain,
    ~ $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    $false,
    inference(simp,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYO357^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon May 20 08:31:09 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.98/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.24/1.13  % [INFO] 	 Parsing done (158ms). 
% 1.24/1.14  % [INFO] 	 Running in sequential loop mode. 
% 1.90/1.52  % [INFO] 	 eprover registered as external prover. 
% 1.90/1.52  % [INFO] 	 cvc4 registered as external prover. 
% 1.90/1.53  % [INFO] 	 Scanning for conjecture ... 
% 1.98/1.61  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.13/1.64  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.13/1.64  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.13/1.65  % [INFO] 	 Type checking passed. 
% 2.13/1.65  % [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 ... 
% 2.41/1.79  % [INFO] 	 Killing All external provers ... 
% 2.41/1.79  % Time passed: 1307ms (effective reasoning time: 641ms)
% 2.41/1.79  % 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)>
% 2.41/1.79  % Axioms used in derivation (0): 
% 2.41/1.79  % No. of inferences in proof: 4
% 2.41/1.80  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1307 ms resp. 641 ms w/o parsing
% 2.47/1.84  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.47/1.84  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------