TSTP Solution File: KRS217+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.28hXBMSOjF true

% Computer : n003.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 05:56:54 EDT 2023

% Result   : Theorem 24.03s 4.11s
% Output   : Refutation 24.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   57 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :   99 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  338 (  40   ~;  38   |;   9   &; 244   @)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   8 con; 0-3 aty)
%            Number of variables   :   66 (   0   ^;  56   !;  10   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(thm_type,type,
    thm: $i ).

thf(sk__60_type,type,
    sk__60: $i ).

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

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

thf(sat_type,type,
    sat: $i ).

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

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

thf(sk__64_type,type,
    sk__64: $i ).

thf(sk__61_type,type,
    sk__61: $i ).

thf(noc_type,type,
    noc: $i ).

thf(sk__62_type,type,
    sk__62: $i ).

thf(nota_type,type,
    nota: $i > $i > $o ).

thf(mixed_pair,axiom,
    ? [Ax: $i,C: $i] :
      ( ? [I4: $i] :
          ~ ( model @ I4 @ C )
      & ? [I3: $i] :
          ( ( model @ I3 @ C )
          & ~ ( model @ I3 @ Ax ) )
      & ! [I2: $i] :
          ( ( model @ I2 @ Ax )
         => ( model @ I2 @ C ) )
      & ? [I1: $i] : ( model @ I1 @ Ax ) ) ).

thf(zip_derived_cl101,plain,
    ~ ( model @ sk__64 @ sk__60 ),
    inference(cnf,[status(esa)],[mixed_pair]) ).

thf(zip_derived_cl102,plain,
    model @ sk__64 @ sk__62,
    inference(cnf,[status(esa)],[mixed_pair]) ).

thf(zip_derived_cl102_001,plain,
    model @ sk__64 @ sk__62,
    inference(cnf,[status(esa)],[mixed_pair]) ).

thf(zip_derived_cl104,plain,
    model @ sk__61 @ sk__60,
    inference(cnf,[status(esa)],[mixed_pair]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ( model @ X0 @ sk__62 )
      | ~ ( model @ X0 @ sk__60 ) ),
    inference(cnf,[status(esa)],[mixed_pair]) ).

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

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( status @ X0 @ X1 @ sat )
      | ~ ( model @ X2 @ X0 )
      | ~ ( model @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[sat]) ).

thf(zip_derived_cl448,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( model @ X0 @ sk__60 )
      | ~ ( model @ X0 @ X1 )
      | ( status @ sk__62 @ X1 @ sat ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl10]) ).

thf(zip_derived_cl626,plain,
    ! [X0: $i] :
      ( ( status @ sk__62 @ X0 @ sat )
      | ~ ( model @ sk__61 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl448]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ ( sk__8 @ X0 @ X1 ) @ X1 )
      | ~ ( status @ X1 @ X0 @ sat ) ),
    inference(cnf,[status(esa)],[sat]) ).

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(zip_derived_cl626_002,plain,
    ! [X0: $i] :
      ( ( status @ sk__62 @ X0 @ sat )
      | ~ ( model @ sk__61 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl448]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ ( sk__8 @ X0 @ X1 ) @ X0 )
      | ~ ( status @ X1 @ X0 @ sat ) ),
    inference(cnf,[status(esa)],[sat]) ).

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

thf(zip_derived_cl3824,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( status @ X1 @ ( not @ X0 ) @ sat )
      | ~ ( model @ ( sk__8 @ ( not @ X0 ) @ X1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl90]) ).

thf(zip_derived_cl3914,plain,
    ! [X0: $i] :
      ( ~ ( model @ sk__61 @ ( not @ X0 ) )
      | ~ ( model @ ( sk__8 @ ( not @ X0 ) @ sk__62 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl3824]) ).

thf(zip_derived_cl5801,plain,
    ! [X0: $i] :
      ( ( model @ sk__61 @ X0 )
      | ~ ( model @ ( sk__8 @ ( not @ X0 ) @ sk__62 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl3914]) ).

thf(zip_derived_cl8584,plain,
    ( ~ ( status @ sk__62 @ ( not @ sk__62 ) @ sat )
    | ( model @ sk__61 @ sk__62 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl5801]) ).

thf(zip_derived_cl8677,plain,
    ( ~ ( model @ sk__61 @ ( not @ sk__62 ) )
    | ( model @ sk__61 @ sk__62 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl8584]) ).

thf(zip_derived_cl89_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ X0 @ ( not @ X1 ) )
      | ( model @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[completeness]) ).

thf(zip_derived_cl8701,plain,
    model @ sk__61 @ sk__62,
    inference(clc,[status(thm)],[zip_derived_cl8677,zip_derived_cl89]) ).

thf(zip_derived_cl104_004,plain,
    model @ sk__61 @ sk__60,
    inference(cnf,[status(esa)],[mixed_pair]) ).

thf(zip_derived_cl89_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ X0 @ ( not @ X1 ) )
      | ( model @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[completeness]) ).

thf(noc,axiom,
    ! [Ax: $i,C: $i] :
      ( ( ? [I1: $i] :
            ( ( model @ I1 @ C )
            & ( model @ I1 @ Ax ) )
        & ? [I2: $i] :
            ( ( model @ I2 @ ( not @ C ) )
            & ( model @ I2 @ Ax ) ) )
    <=> ( status @ Ax @ C @ noc ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( status @ X0 @ X1 @ noc )
      | ~ ( model @ X2 @ X0 )
      | ~ ( model @ X2 @ ( not @ X1 ) )
      | ~ ( model @ X3 @ X0 )
      | ~ ( model @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[noc]) ).

thf(zip_derived_cl5693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( model @ X1 @ X0 )
      | ~ ( model @ X2 @ X0 )
      | ~ ( model @ X2 @ X3 )
      | ~ ( model @ X1 @ X3 )
      | ( status @ X3 @ X0 @ noc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl68]) ).

thf(zip_derived_cl30994,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X0 @ sk__60 @ noc )
      | ~ ( model @ X1 @ X0 )
      | ~ ( model @ sk__61 @ X0 )
      | ( model @ X1 @ sk__60 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl5693]) ).

thf(zip_derived_cl31078,plain,
    ! [X0: $i] :
      ( ( model @ X0 @ sk__60 )
      | ~ ( model @ X0 @ sk__62 )
      | ( status @ sk__62 @ sk__60 @ noc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8701,zip_derived_cl30994]) ).

thf(zip_derived_cl31101,plain,
    ( ( status @ sk__62 @ sk__60 @ noc )
    | ( model @ sk__64 @ sk__60 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl31078]) ).

thf(zip_derived_cl101_006,plain,
    ~ ( model @ sk__64 @ sk__60 ),
    inference(cnf,[status(esa)],[mixed_pair]) ).

thf(zip_derived_cl31108,plain,
    status @ sk__62 @ sk__60 @ noc,
    inference(demod,[status(thm)],[zip_derived_cl31101,zip_derived_cl101]) ).

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

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( nota @ X0 @ X1 )
      | ~ ( status @ X2 @ X3 @ X0 )
      | ( status @ X2 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[nota]) ).

thf(zip_derived_cl31110,plain,
    ! [X0: $i] :
      ( ( status @ sk__62 @ sk__60 @ X0 )
      | ( nota @ noc @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31108,zip_derived_cl79]) ).

thf(nota_noc_thm,conjecture,
    nota @ noc @ thm ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( nota @ noc @ thm ),
    inference('cnf.neg',[status(esa)],[nota_noc_thm]) ).

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

thf(zip_derived_cl32838,plain,
    status @ sk__62 @ sk__60 @ thm,
    inference('sup-',[status(thm)],[zip_derived_cl31110,zip_derived_cl108]) ).

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

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( model @ X0 @ X1 )
      | ( model @ X0 @ X2 )
      | ~ ( status @ X1 @ X2 @ thm ) ),
    inference(cnf,[status(esa)],[thm]) ).

thf(zip_derived_cl32847,plain,
    ! [X0: $i] :
      ( ( model @ X0 @ sk__60 )
      | ~ ( model @ X0 @ sk__62 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32838,zip_derived_cl15]) ).

thf(zip_derived_cl32897,plain,
    model @ sk__64 @ sk__60,
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl32847]) ).

thf(zip_derived_cl32901,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl32897]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.28hXBMSOjF true
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Aug 28 01:38:55 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 24.03/4.11  % Solved by fo/fo7.sh.
% 24.03/4.11  % done 10293 iterations in 3.307s
% 24.03/4.11  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 24.03/4.11  % SZS output start Refutation
% See solution above
% 24.03/4.11  
% 24.03/4.11  
% 24.03/4.11  % Terminating...
% 24.65/4.19  % Runner terminated.
% 24.65/4.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------