%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYO366_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n017.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 : Fri May 19 12:35:46 EDT 2023

% Result   : Theorem 2.09s 1.35s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   2 unt;   2 typ;   0 def)
%            Number of atoms       :   12 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   10 (   2   ~;   0   |;   0   &;   4   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cP_type,type,
    cP: $o > $o ).

thf(cA_type,type,
    cA: $o ).

thf(1,conjecture,
    ( ( cP
      @ ( cA
       => cA ) )
   => ( cP @ $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT4) ).

thf(2,negated_conjecture,
    ~ ( ( cP
        @ ( cA
         => cA ) )
     => ( cP @ $true ) ),
    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
% 0.03/0.12  % Problem  : SYO366_8 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 17:53:01 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.97/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.22/0.97  % [INFO] 	 Parsing done (107ms). 
% 1.22/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.66/1.19  % [INFO] 	 eprover registered as external prover. 
% 1.66/1.19  % [INFO] 	 cvc4 registered as external prover. 
% 1.66/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.83/1.24  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.83/1.26  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.83/1.26  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 1.83/1.26  % [INFO] 	 Type checking passed. 
% 1.83/1.26  % [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 ... 
% 2.09/1.35  % [INFO] 	 Killing All external provers ... 
% 2.09/1.35  % Time passed: 822ms (effective reasoning time: 368ms)
% 2.09/1.35  % 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)>
% 2.09/1.35  % Axioms used in derivation (0): 
% 2.09/1.35  % No. of inferences in proof: 4
% 2.09/1.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 822 ms resp. 368 ms w/o parsing
% 2.09/1.37  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.09/1.37  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------