TSTP Solution File: SET638^5 by Leo-III---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SET638^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 03:03:22 EDT 2024

% Result   : Theorem 2.67s 1.57s
% Output   : Refutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :    7 (   3 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   41 (   2   ~;   3   |;   6   &;  21   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   21 (   6   ^  15   !;   0   ?;  21   :)

% 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 )
              | ( C @ D ) ) )
        & ( ( ^ [D: a] :
                ( ( A @ D )
                & ( C @ D ) ) )
          = ( ^ [D: a] : $false ) ) )
     => ! [D: a] :
          ( ( A @ D )
         => ( B @ D ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_120_pme) ).

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

thf(12,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET638^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n017.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Mon May 20 11:15:39 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.83/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.20/0.95  % [INFO] 	 Parsing done (94ms). 
% 1.20/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.48/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.48/1.16  % [INFO] 	 cvc4 registered as external prover. 
% 1.48/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.80/1.22  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.87/1.24  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.87/1.24  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.87/1.24  % [INFO] 	 Type checking passed. 
% 1.87/1.24  % [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 ... 
% 2.67/1.57  % External prover 'e' found a proof!
% 2.67/1.57  % [INFO] 	 Killing All external provers ... 
% 2.67/1.57  % Time passed: 1048ms (effective reasoning time: 607ms)
% 2.67/1.57  % 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)>
% 2.67/1.57  % Axioms used in derivation (0): 
% 2.67/1.57  % No. of inferences in proof: 4
% 2.67/1.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1048 ms resp. 607 ms w/o parsing
% 3.03/1.63  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.03/1.63  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------