TSTP Solution File: SET627^5 by Leo-III-SAT---1.7.10

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : SET627^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.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  7 10:50:11 EDT 2024

% Result   : Theorem 2.30s 1.63s
% Output   : Refutation 2.45s
% 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       :    4 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   2   &;   2   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   0   ^   2   !;   2   ?;   4   :)

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

thf(1,conjecture,
    ! [A: a > $o] :
      ~ ? [B: a] :
          ( ( A @ B )
          & $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_104_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: a > $o] :
        ~ ? [B: a] :
            ( ( A @ B )
            & $false ),
    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
% 0.03/0.12  % Problem  : SET627^5 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n026.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  6 20:34:24 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 1.06/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.37/1.09  % [INFO] 	 Parsing done (123ms). 
% 1.37/1.10  % [INFO] 	 Running in sequential loop mode. 
% 1.82/1.40  % [INFO] 	 nitpick registered as external prover. 
% 1.82/1.41  % [INFO] 	 Scanning for conjecture ... 
% 2.00/1.47  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 2.10/1.50  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.10/1.50  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.10/1.50  % [INFO] 	 Type checking passed. 
% 2.10/1.51  % [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 ... 
% 2.30/1.62  % [INFO] 	 Killing All external provers ... 
% 2.30/1.63  % Time passed: 1064ms (effective reasoning time: 520ms)
% 2.30/1.63  % 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)>
% 2.30/1.63  % Axioms used in derivation (0): 
% 2.30/1.63  % No. of inferences in proof: 4
% 2.30/1.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1064 ms resp. 520 ms w/o parsing
% 2.45/1.66  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.45/1.66  % [INFO] 	 Killing All external provers ... 
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