%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SEV390^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n029.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 15:58:54 EDT 2024

% Result   : Theorem 2.99s 1.76s
% Output   : Refutation 2.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   19 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :   23 (   2   ~;   0   |;   3   &;  12   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    6 (   3   ^   3   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cS_type,type,
    cS: $i > $o ).

thf(cR_type,type,
    cR: $i > $o ).

thf(1,conjecture,
    ( ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR )
   => ! [A: $i] :
        ( ( cR @ A )
       => ( cS @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM35_pme) ).

thf(2,negated_conjecture,
    ~ ( ( ( ^ [A: $i] :
              ( ( cR @ A )
              & ( cS @ A ) ) )
        = cR )
     => ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ( ^ [A: $i] :
              ( ( cR @ A )
              & ( cS @ A ) ) )
        = cR )
     => ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(18,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEV390^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_Leo-III %s %d THM
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Jun 21 19:07:40 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 1.08/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.19/1.04  % [INFO] 	 Parsing done (110ms). 
% 1.19/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.69/1.26  % [INFO] 	 eprover registered as external prover. 
% 1.69/1.27  % [INFO] 	 Scanning for conjecture ... 
% 1.79/1.31  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.79/1.33  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.79/1.33  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.79/1.34  % [INFO] 	 Type checking passed. 
% 2.00/1.34  % [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 ... 
% 2.99/1.75  % External prover 'e' found a proof!
% 2.99/1.75  % [INFO] 	 Killing All external provers ... 
% 2.99/1.75  % Time passed: 1209ms (effective reasoning time: 701ms)
% 2.99/1.76  % 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)>
% 2.99/1.76  % Axioms used in derivation (0): 
% 2.99/1.76  % No. of inferences in proof: 4
% 2.99/1.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1209 ms resp. 701 ms w/o parsing
% 2.99/1.77  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.99/1.77  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------