%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SEV392^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n020.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 2.69s 1.56s
% Output   : Refutation 2.69s
% 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       :   22 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives :   32 (   2   ~;   3   |;   3   &;  18   @)
%                                         (   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   :    9 (   6   ^   3   !;   0   ?;   9   :)

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

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

thf(1,conjecture,
    ( ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = ( ^ [A: $i] :
            ( ( cR @ A )
            | ( cS @ A ) ) ) )
   => ! [A: $i] :
        ( ( cR @ A )
       => ( cS @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM38_pme) ).

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

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

thf(20,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEV392^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11  % Command  : run_Leo-III %s %d THM
% 0.10/0.30  % Computer : n020.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Fri Jun 21 19:31:40 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.83/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.09/0.92  % [INFO] 	 Parsing done (91ms). 
% 1.09/0.93  % [INFO] 	 Running in sequential loop mode. 
% 1.43/1.12  % [INFO] 	 eprover registered as external prover. 
% 1.43/1.13  % [INFO] 	 Scanning for conjecture ... 
% 1.43/1.17  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.70/1.19  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.70/1.19  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.70/1.19  % [INFO] 	 Type checking passed. 
% 1.70/1.20  % [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 ... 
% 2.69/1.55  % External prover 'e' found a proof!
% 2.69/1.55  % [INFO] 	 Killing All external provers ... 
% 2.69/1.56  % Time passed: 1057ms (effective reasoning time: 624ms)
% 2.69/1.56  % 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)>
% 2.69/1.56  % Axioms used in derivation (0): 
% 2.69/1.56  % No. of inferences in proof: 4
% 2.69/1.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1057 ms resp. 624 ms w/o parsing
% 2.69/1.57  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.69/1.57  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------