TSTP Solution File: SEV134^5 by Leo-III-SAT---1.7.15

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SEV134^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n018.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 15:59:35 EDT 2024

% Result   : Theorem 1.98s 1.57s
% Output   : Refutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :    2 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   22 (   2   ~;   0   |;   2   &;  12   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (   0   ^  10   !;   0   ?;  10   :)

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

thf(1,conjecture,
    ! [A: a > a > $o,B: a,C: a > $o] :
      ( ! [D: a,E: a] :
          ( ( ( A @ D @ E )
            & ( C @ D ) )
         => ( C @ E ) )
     => ( ( C @ B )
       => ( C @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM201_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: a > a > $o,B: a,C: a > $o] :
        ( ! [D: a,E: a] :
            ( ( ( A @ D @ E )
              & ( C @ D ) )
           => ( C @ E ) )
       => ( ( C @ B )
         => ( C @ B ) ) ),
    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
% 0.02/0.10  % Problem  : SEV134^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.10  % Command  : run_Leo-III %s %d SAT
% 0.10/0.31  % Computer : n018.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
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri Jun 21 18:57:09 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.90/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.15/1.03  % [INFO] 	 Parsing done (147ms). 
% 1.15/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.56/1.35  % [INFO] 	 nitpick registered as external prover. 
% 1.56/1.36  % [INFO] 	 Scanning for conjecture ... 
% 1.72/1.42  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.72/1.44  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.72/1.44  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.72/1.44  % [INFO] 	 Type checking passed. 
% 1.72/1.45  % [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 ... 
% 1.98/1.57  % [INFO] 	 Killing All external provers ... 
% 1.98/1.57  % Time passed: 1084ms (effective reasoning time: 525ms)
% 1.98/1.57  % 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)>
% 1.98/1.57  % Axioms used in derivation (0): 
% 1.98/1.57  % No. of inferences in proof: 4
% 1.98/1.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1084 ms resp. 525 ms w/o parsing
% 1.98/1.60  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.98/1.60  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------