TSTP Solution File: MGT009+1 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : MGT009+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 00:41:15 EDT 2024

% Result   : Theorem 3.86s 2.32s
% Output   : Refutation 4.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   17 (   1 unt;   7 typ;   0 def)
%            Number of atoms       :   83 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   8 avg)
%            Number of connectives :  289 (   2   ~;   0   |;  61   &; 214   @)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (  18 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   1 con; 0-3 aty)
%            Number of variables   :   67 (   0   ^  65   !;   2   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(organization_type,type,
    organization: $i > $i > $o ).

thf(reorganization_free_type,type,
    reorganization_free: $i > $i > $i > $o ).

thf(class_type,type,
    class: $i > $i > $i > $o ).

thf(reproducibility_type,type,
    reproducibility: $i > $i > $i > $o ).

thf(size_type,type,
    size: $i > $i > $i > $o ).

thf(greater_type,type,
    greater: $i > $i > $o ).

thf(inertia_type,type,
    inertia: $i > $i > $i > $o ).

thf(1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
      ( ( ( organization @ A @ H )
        & ( organization @ B @ I )
        & ( reorganization_free @ A @ H @ H )
        & ( reorganization_free @ B @ I @ I )
        & ( class @ A @ C @ H )
        & ( class @ B @ C @ I )
        & ( reproducibility @ A @ D @ H )
        & ( reproducibility @ B @ E @ I )
        & ( size @ A @ F @ H )
        & ( size @ B @ G @ I )
        & ( greater @ G @ F ) )
     => ( greater @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
        ( ( ( organization @ A @ H )
          & ( organization @ B @ I )
          & ( reorganization_free @ A @ H @ H )
          & ( reorganization_free @ B @ I @ I )
          & ( class @ A @ C @ H )
          & ( class @ B @ C @ I )
          & ( reproducibility @ A @ D @ H )
          & ( reproducibility @ B @ E @ I )
          & ( size @ A @ F @ H )
          & ( size @ B @ G @ I )
          & ( greater @ G @ F ) )
       => ( greater @ E @ D ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
        ( ( ( organization @ A @ H )
          & ( organization @ B @ I )
          & ( reorganization_free @ A @ H @ H )
          & ( reorganization_free @ B @ I @ I )
          & ( class @ A @ C @ H )
          & ( class @ B @ C @ I )
          & ( reproducibility @ A @ D @ H )
          & ( reproducibility @ B @ E @ I )
          & ( size @ A @ F @ H )
          & ( size @ B @ G @ I )
          & ( greater @ G @ F ) )
       => ( greater @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( organization @ A @ B )
     => ? [C: $i] : ( inertia @ A @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).

thf(20,plain,
    ! [A: $i,B: $i] :
      ( ( organization @ A @ B )
     => ? [C: $i] : ( inertia @ A @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( organization @ A @ C )
        & ( organization @ B @ D )
        & ( reorganization_free @ A @ C @ C )
        & ( reorganization_free @ B @ D @ D )
        & ( reproducibility @ A @ E @ C )
        & ( reproducibility @ B @ F @ D )
        & ( inertia @ A @ G @ C )
        & ( inertia @ B @ H @ D ) )
     => ( ( greater @ F @ E )
      <=> ( greater @ H @ G ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL) ).

thf(22,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( organization @ A @ C )
        & ( organization @ B @ D )
        & ( reorganization_free @ A @ C @ C )
        & ( reorganization_free @ B @ D @ D )
        & ( reproducibility @ A @ E @ C )
        & ( reproducibility @ B @ F @ D )
        & ( inertia @ A @ G @ C )
        & ( inertia @ B @ H @ D ) )
     => ( ( ( greater @ F @ E )
         => ( greater @ H @ G ) )
        & ( ( greater @ H @ G )
         => ( greater @ F @ E ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
      ( ( ( organization @ A @ H )
        & ( organization @ B @ I )
        & ( class @ A @ C @ H )
        & ( class @ B @ C @ I )
        & ( size @ A @ D @ H )
        & ( size @ B @ E @ I )
        & ( inertia @ A @ F @ H )
        & ( inertia @ B @ G @ I )
        & ( greater @ E @ D ) )
     => ( greater @ G @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).

thf(25,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
      ( ( ( organization @ A @ H )
        & ( organization @ B @ I )
        & ( class @ A @ C @ H )
        & ( class @ B @ C @ I )
        & ( size @ A @ D @ H )
        & ( size @ B @ E @ I )
        & ( inertia @ A @ F @ H )
        & ( inertia @ B @ G @ I )
        & ( greater @ E @ D ) )
     => ( greater @ G @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(30,plain,
    $false,
    inference(e,[status(thm)],[6,20,22,25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : MGT009+1 : TPTP v8.2.0. Released v2.0.0.
% 0.05/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sun May 19 00:01:24 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 1.01/0.94  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.30/1.10  % [INFO] 	 Parsing done (160ms). 
% 1.30/1.11  % [INFO] 	 Running in sequential loop mode. 
% 1.85/1.47  % [INFO] 	 eprover registered as external prover. 
% 1.85/1.47  % [INFO] 	 cvc4 registered as external prover. 
% 1.91/1.48  % [INFO] 	 Scanning for conjecture ... 
% 2.08/1.58  % [INFO] 	 Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ... 
% 2.08/1.62  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 2.28/1.65  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.28/1.66  % [INFO] 	 Type checking passed. 
% 2.28/1.66  % [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 ... 
% 3.86/2.31  % External prover 'e' found a proof!
% 3.86/2.31  % [INFO] 	 Killing All external provers ... 
% 3.86/2.31  % Time passed: 1849ms (effective reasoning time: 1196ms)
% 3.86/2.31  % 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)>
% 3.86/2.32  % Axioms used in derivation (3): mp5, a3_FOL, a5_FOL
% 3.86/2.32  % No. of inferences in proof: 10
% 3.86/2.32  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1849 ms resp. 1196 ms w/o parsing
% 4.04/2.37  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.04/2.37  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------