TSTP Solution File: KRS268+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS268+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jqF8fMXiCK true

% Computer : n013.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 : Thu Aug 31 05:57:02 EDT 2023

% Result   : Theorem 11.64s 2.25s
% Output   : Refutation 11.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   50 (  15 unt;  15 typ;   0 def)
%            Number of atoms       :   71 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  241 (  25   ~;  25   |;   4   &; 180   @)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   9 con; 0-3 aty)
%            Number of variables   :   73 (   0   ^;  61   !;  12   ?;  73   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__51_type,type,
    sk__51: $i ).

thf(thm_type,type,
    thm: $i ).

thf(sk__54_type,type,
    sk__54: $i ).

thf(sk__53_type,type,
    sk__53: $i ).

thf(status_type,type,
    status: $i > $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i > $i > $i ).

thf(sk__35_type,type,
    sk__35: $i > $i ).

thf(unp_type,type,
    unp: $i ).

thf(not_type,type,
    not: $i > $i ).

thf(model_type,type,
    model: $i > $i > $o ).

thf(mighta_type,type,
    mighta: $i > $i > $o ).

thf(wca_type,type,
    wca: $i ).

thf(sk__55_type,type,
    sk__55: $i ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(sk__52_type,type,
    sk__52: $i ).

thf(thm,axiom,
    ! [Ax: $i,C: $i] :
      ( ! [I1: $i] :
          ( ( model @ I1 @ Ax )
         => ( model @ I1 @ C ) )
    <=> ( status @ Ax @ C @ thm ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X0 @ X1 @ thm )
      | ( model @ ( sk__9 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[thm]) ).

thf(completeness,axiom,
    ! [I: $i,F: $i] :
      ~ ( ( model @ I @ F )
      <=> ( model @ I @ ( not @ F ) ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ X0 @ ( not @ X1 ) )
      | ( model @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[completeness]) ).

thf(wca,axiom,
    ! [Ax: $i,C: $i] :
      ( ( ~ ? [I1: $i] : ( model @ I1 @ Ax )
        & ? [I2: $i] : ( model @ I2 @ C )
        & ? [I3: $i] :
            ~ ( model @ I3 @ C ) )
    <=> ( status @ Ax @ C @ wca ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( status @ X0 @ X1 @ wca )
      | ( model @ X2 @ X1 )
      | ~ ( model @ X3 @ X1 )
      | ( model @ ( sk__35 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[wca]) ).

thf(zip_derived_cl506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( model @ X1 @ X0 )
      | ( model @ ( sk__35 @ X2 ) @ X2 )
      | ( model @ X3 @ ( not @ X0 ) )
      | ( status @ X2 @ ( not @ X0 ) @ wca ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl58]) ).

thf(mighta,axiom,
    ! [S1: $i,S2: $i] :
      ( ? [Ax: $i,C: $i] :
          ( ( status @ Ax @ C @ S2 )
          & ( status @ Ax @ C @ S1 ) )
    <=> ( mighta @ S1 @ S2 ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( mighta @ X0 @ X1 )
      | ~ ( status @ X2 @ X3 @ X0 )
      | ~ ( status @ X2 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[mighta]) ).

thf(mighta_wca_thm,conjecture,
    mighta @ wca @ thm ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( mighta @ wca @ thm ),
    inference('cnf.neg',[status(esa)],[mighta_wca_thm]) ).

thf(zip_derived_cl108,plain,
    ~ ( mighta @ wca @ thm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( status @ X1 @ X0 @ thm )
      | ~ ( status @ X1 @ X0 @ wca ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl73,zip_derived_cl108]) ).

thf(zip_derived_cl15790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( model @ X2 @ ( not @ X0 ) )
      | ( model @ ( sk__35 @ X1 ) @ X1 )
      | ( model @ X3 @ X0 )
      | ~ ( status @ X1 @ ( not @ X0 ) @ thm ) ),
    inference('sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl117]) ).

thf(zip_derived_cl15853,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( model @ ( sk__9 @ ( not @ X0 ) @ X1 ) @ X1 )
      | ( model @ X2 @ X0 )
      | ( model @ ( sk__35 @ X1 ) @ X1 )
      | ( model @ X3 @ ( not @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl15790]) ).

thf(contradiction,axiom,
    ? [F: $i] :
    ! [I: $i] :
      ~ ( model @ I @ F ) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ~ ( model @ X0 @ sk__55 ),
    inference(cnf,[status(esa)],[contradiction]) ).

thf(zip_derived_cl15938,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model @ X1 @ ( not @ X0 ) )
      | ( model @ ( sk__35 @ sk__55 ) @ sk__55 )
      | ( model @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15853,zip_derived_cl96]) ).

thf(zip_derived_cl96_001,plain,
    ! [X0: $i] :
      ~ ( model @ X0 @ sk__55 ),
    inference(cnf,[status(esa)],[contradiction]) ).

thf(zip_derived_cl16125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model @ X2 @ X0 )
      | ( model @ X1 @ ( not @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl15938,zip_derived_cl96]) ).

thf(satisfiable,axiom,
    ? [F: $i] :
      ( ? [I2: $i] :
          ~ ( model @ I2 @ F )
      & ? [I1: $i] : ( model @ I1 @ F ) ) ).

thf(zip_derived_cl95,plain,
    ~ ( model @ sk__53 @ sk__52 ),
    inference(cnf,[status(esa)],[satisfiable]) ).

thf(zip_derived_cl16236,plain,
    ! [X0: $i] : ( model @ X0 @ ( not @ sk__52 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16125,zip_derived_cl95]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( model @ X0 @ ( not @ X1 ) )
      | ~ ( model @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[completeness]) ).

thf(zip_derived_cl16517,plain,
    ! [X0: $i] :
      ~ ( model @ X0 @ sk__52 ),
    inference('sup-',[status(thm)],[zip_derived_cl16236,zip_derived_cl90]) ).

thf(tautology,axiom,
    ? [F: $i] :
    ! [I: $i] : ( model @ I @ F ) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] : ( model @ X0 @ sk__51 ),
    inference(cnf,[status(esa)],[tautology]) ).

thf(zip_derived_cl94,plain,
    model @ sk__54 @ sk__52,
    inference(cnf,[status(esa)],[satisfiable]) ).

thf(unp,axiom,
    ! [Ax: $i,C: $i] :
      ( ( ~ ? [I1: $i] : ( model @ I1 @ Ax )
       => ~ ? [I2: $i] : ( model @ I2 @ C ) )
    <=> ( status @ Ax @ C @ unp ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( status @ X0 @ X1 @ unp )
      | ~ ( model @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[unp]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] : ( status @ sk__52 @ X0 @ unp ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model @ ( sk_ @ X0 ) @ X0 )
      | ~ ( model @ X1 @ X2 )
      | ~ ( status @ X0 @ X2 @ unp ) ),
    inference(cnf,[status(esa)],[unp]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( model @ X1 @ X0 )
      | ( model @ ( sk_ @ sk__52 ) @ sk__52 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2]) ).

thf(zip_derived_cl179,plain,
    model @ ( sk_ @ sk__52 ) @ sk__52,
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl144]) ).

thf(zip_derived_cl16712,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl16517,zip_derived_cl179]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS268+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jqF8fMXiCK true
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 01:14:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.59/1.10  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 11.64/2.25  % Solved by fo/fo3_bce.sh.
% 11.64/2.25  % BCE start: 109
% 11.64/2.25  % BCE eliminated: 0
% 11.64/2.25  % PE start: 109
% 11.64/2.25  logic: neq
% 11.64/2.25  % PE eliminated: 4
% 11.64/2.25  % done 2174 iterations in 1.526s
% 11.64/2.25  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.64/2.25  % SZS output start Refutation
% See solution above
% 11.64/2.26  
% 11.64/2.26  
% 11.64/2.26  % Terminating...
% 12.11/2.34  % Runner terminated.
% 12.11/2.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------