TSTP Solution File: SEV233^5 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEV233^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n025.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 04:10:12 EDT 2024

% Result   : Theorem 2.53s 1.60s
% Output   : Refutation 2.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   1 unt;   2 typ;   0 def)
%            Number of atoms       :   13 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   41 (   2   ~;   0   |;   6   &;  21   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (   0   ^  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cE_type,type,
    cE: $i > $o ).

thf(cD_type,type,
    cD: $i > $o ).

thf(1,conjecture,
    ! [A: $i > $o] :
      ( ! [B: $i] :
          ( ( A @ B )
         => ( ( cD @ B )
            & ( cE @ B ) ) )
     => ( ! [B: $i] :
            ( ( A @ B )
           => ( cD @ B ) )
        & ! [B: $i] :
            ( ( A @ B )
           => ( cE @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM46_pme) ).

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

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

thf(13,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEV233^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.16  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n025.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Sun May 19 19:15:09 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.97/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.24/0.99  % [INFO] 	 Parsing done (104ms). 
% 1.24/1.00  % [INFO] 	 Running in sequential loop mode. 
% 1.62/1.22  % [INFO] 	 eprover registered as external prover. 
% 1.62/1.23  % [INFO] 	 cvc4 registered as external prover. 
% 1.62/1.23  % [INFO] 	 Scanning for conjecture ... 
% 1.81/1.28  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.81/1.30  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.81/1.30  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.81/1.31  % [INFO] 	 Type checking passed. 
% 1.96/1.31  % [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 ... 
% 2.53/1.60  % External prover 'e' found a proof!
% 2.53/1.60  % [INFO] 	 Killing All external provers ... 
% 2.53/1.60  % Time passed: 1067ms (effective reasoning time: 599ms)
% 2.53/1.60  % 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)>
% 2.53/1.60  % Axioms used in derivation (0): 
% 2.53/1.60  % No. of inferences in proof: 4
% 2.53/1.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1067 ms resp. 599 ms w/o parsing
% 2.81/1.66  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.81/1.66  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------