%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SET027^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n009.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 03:01:01 EDT 2024

% Result   : Theorem 2.86s 1.98s
% Output   : Refutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   1 unt;   1 typ;   0 def)
%            Number of atoms       :    1 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   35 (   2   ~;   0   |;   3   &;  18   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    1 (   0 usr;   1 con; 0-0 aty)
%            Number of variables   :   18 (   0   ^  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(1,conjecture,
    ! [A: a > $o,B: a > $o,C: a > $o] :
      ( ( ! [D: a] :
            ( ( A @ D )
           => ( B @ D ) )
        & ! [D: a] :
            ( ( B @ D )
           => ( C @ D ) ) )
     => ! [D: a] :
          ( ( A @ D )
         => ( C @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_29_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: a > $o,B: a > $o,C: a > $o] :
        ( ( ! [D: a] :
              ( ( A @ D )
             => ( B @ D ) )
          & ! [D: a] :
              ( ( B @ D )
             => ( C @ D ) ) )
       => ! [D: a] :
            ( ( A @ D )
           => ( C @ D ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: a > $o,B: a > $o,C: a > $o] :
        ( ( ! [D: a] :
              ( ( A @ D )
             => ( B @ D ) )
          & ! [D: a] :
              ( ( B @ D )
             => ( C @ D ) ) )
       => ! [D: a] :
            ( ( A @ D )
           => ( C @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(11,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET027^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12  % Command  : run_Leo-III %s %d
% 0.10/0.31  % Computer : n009.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31  % CPULimit : 300
% 0.15/0.31  % WCLimit  : 300
% 0.15/0.31  % DateTime : Mon May 20 12:20:24 EDT 2024
% 0.15/0.32  % CPUTime  : 
% 0.91/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.18/1.04  % [INFO] 	 Parsing done (143ms). 
% 1.18/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.71/1.38  % [INFO] 	 eprover registered as external prover. 
% 1.71/1.39  % [INFO] 	 cvc4 registered as external prover. 
% 1.71/1.39  % [INFO] 	 Scanning for conjecture ... 
% 1.71/1.47  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.93/1.49  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.93/1.49  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.93/1.50  % [INFO] 	 Type checking passed. 
% 1.93/1.50  % [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 ... 
% 2.86/1.97  % External prover 'e' found a proof!
% 2.86/1.97  % [INFO] 	 Killing All external provers ... 
% 2.86/1.97  % Time passed: 1519ms (effective reasoning time: 918ms)
% 2.86/1.97  % 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)>
% 2.86/1.98  % Axioms used in derivation (0): 
% 2.86/1.98  % No. of inferences in proof: 4
% 2.86/1.98  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1519 ms resp. 918 ms w/o parsing
% 3.03/2.00  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.03/2.00  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------