%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYO367_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 09:00:01 EDT 2024

% Result   : Theorem 2.28s 1.76s
% Output   : Refutation 2.42s
% 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       :   10 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   12 (   6   ~;   0   |;   0   &;   4   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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(cA_type,type,
    cA: $o ).

thf(cC_type,type,
    cC: $o > $o ).

thf(1,conjecture,
    ( ( cC @ cA )
   => ( cC
      @ ~ ~ cA ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXT2) ).

thf(2,negated_conjecture,
    ~ ( ( cC @ cA )
     => ( cC
        @ ~ ~ cA ) ),
    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  : SYO367_8 : TPTP v8.2.0. Released v8.0.0.
% 0.11/0.12  % Command  : run_Leo-III %s %d
% 0.12/0.32  % Computer : n024.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Mon May 20 09:47:54 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 1.02/0.95  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.29/1.10  % [INFO] 	 Parsing done (149ms). 
% 1.29/1.13  % [INFO] 	 Running in sequential loop mode. 
% 1.86/1.49  % [INFO] 	 nitpick registered as external prover. 
% 1.86/1.50  % [INFO] 	 Scanning for conjecture ... 
% 1.99/1.58  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.99/1.61  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.99/1.61  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 1.99/1.61  % [INFO] 	 Type checking passed. 
% 1.99/1.61  % [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 ... 
% 2.28/1.75  % [INFO] 	 Killing All external provers ... 
% 2.28/1.76  % Time passed: 1279ms (effective reasoning time: 624ms)
% 2.28/1.76  % 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)>
% 2.28/1.76  % Axioms used in derivation (0): 
% 2.28/1.76  % No. of inferences in proof: 4
% 2.28/1.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1279 ms resp. 624 ms w/o parsing
% 2.42/1.79  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.42/1.79  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------