TSTP Solution File: KRS261+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS261+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.fvrSSBxC10 true

% Computer : n008.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 05:57:00 EDT 2023

% Result   : Theorem 65.54s 9.99s
% Output   : Refutation 65.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   60 (  16 unt;  16 typ;   0 def)
%            Number of atoms       :   96 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  353 (  32   ~;  39   |;   4   &; 269   @)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   8 con; 0-3 aty)
%            Number of variables   :   84 (   0   ^;  74   !;  10   ?;  84   :)

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

thf(eth_type,type,
    eth: $i ).

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

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

thf(nevera_type,type,
    nevera: $i > $i > $o ).

thf(sk__47_type,type,
    sk__47: $i > $i > $i ).

thf(sk__48_type,type,
    sk__48: $i > $i > $i ).

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

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

thf(sk__19_type,type,
    sk__19: $i > $i > $i ).

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(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_cl121,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_cl149,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( model @ X1 @ X0 )
      | ( model @ ( sk_ @ sk__52 ) @ sk__52 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl2]) ).

thf(zip_derived_cl169,plain,
    model @ ( sk_ @ sk__52 ) @ sk__52,
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl149]) ).

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

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( status @ X0 @ X1 @ eth )
      | ( model @ ( sk__19 @ X1 @ X0 ) @ X0 )
      | ( model @ ( sk__19 @ X1 @ X0 ) @ X1 )
      | ( model @ X2 @ X0 )
      | ~ ( model @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[eth]) ).

thf(zip_derived_cl1059,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( status @ X1 @ X0 @ eth )
      | ( model @ ( sk__19 @ X0 @ X1 ) @ X1 )
      | ( model @ ( sk__19 @ X0 @ X1 ) @ X0 )
      | ~ ( model @ X2 @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl1062,plain,
    ! [X0: $i] :
      ( ( model @ ( sk__19 @ X0 @ sk__52 ) @ X0 )
      | ( model @ ( sk__19 @ X0 @ sk__52 ) @ sk__52 )
      | ( status @ sk__52 @ X0 @ eth ) ),
    inference('sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl1059]) ).

thf(zip_derived_cl97006,plain,
    ( ( status @ sk__52 @ sk__52 @ eth )
    | ( model @ ( sk__19 @ sk__52 @ sk__52 ) @ sk__52 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1062]) ).

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

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ( nevera @ X0 @ X1 )
      | ( status @ ( sk__47 @ X1 @ X0 ) @ ( sk__48 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[nevera]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ( nevera @ X0 @ X1 )
      | ( status @ ( sk__47 @ X1 @ X0 ) @ ( sk__48 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[nevera]) ).

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(zip_derived_cl954,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nevera @ X1 @ X0 )
      | ~ ( status @ ( sk__47 @ X0 @ X1 ) @ ( sk__48 @ X0 @ X1 ) @ X2 )
      | ( mighta @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl73]) ).

thf(zip_derived_cl78936,plain,
    ! [X0: $i,X1: $i] :
      ( ( nevera @ X0 @ X1 )
      | ( mighta @ X1 @ X0 )
      | ( nevera @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl954]) ).

thf(zip_derived_cl78938,plain,
    ! [X0: $i,X1: $i] :
      ( ( mighta @ X1 @ X0 )
      | ( nevera @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl78936]) ).

thf(mighta_eth_thm,conjecture,
    mighta @ eth @ thm ).

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

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

thf(zip_derived_cl78941,plain,
    nevera @ thm @ eth,
    inference('sup-',[status(thm)],[zip_derived_cl78938,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_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X0 @ X1 @ thm )
      | ( model @ ( sk__9 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[thm]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X0 @ X1 @ thm )
      | ~ ( model @ ( sk__9 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[thm]) ).

thf(zip_derived_cl600,plain,
    ! [X0: $i] :
      ( ( status @ X0 @ X0 @ thm )
      | ( status @ X0 @ X0 @ thm ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).

thf(zip_derived_cl601,plain,
    ! [X0: $i] : ( status @ X0 @ X0 @ thm ),
    inference(simplify,[status(thm)],[zip_derived_cl600]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( status @ X0 @ X1 @ X2 )
      | ~ ( status @ X0 @ X1 @ X3 )
      | ~ ( nevera @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[nevera]) ).

thf(zip_derived_cl1236,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( nevera @ thm @ X1 )
      | ~ ( status @ X0 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl84]) ).

thf(zip_derived_cl78949,plain,
    ! [X0: $i] :
      ~ ( status @ X0 @ X0 @ eth ),
    inference('sup-',[status(thm)],[zip_derived_cl78941,zip_derived_cl1236]) ).

thf(zip_derived_cl97007,plain,
    model @ ( sk__19 @ sk__52 @ sk__52 ) @ sk__52,
    inference(demod,[status(thm)],[zip_derived_cl97006,zip_derived_cl78949]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( status @ X0 @ X1 @ eth )
      | ~ ( model @ ( sk__19 @ X1 @ X0 ) @ X0 )
      | ~ ( model @ ( sk__19 @ X1 @ X0 ) @ X1 )
      | ( model @ X2 @ X0 )
      | ~ ( model @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[eth]) ).

thf(zip_derived_cl1054,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( status @ X1 @ X0 @ eth )
      | ~ ( model @ ( sk__19 @ X0 @ X1 ) @ X1 )
      | ~ ( model @ ( sk__19 @ X0 @ X1 ) @ X0 )
      | ( model @ X2 @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl1057,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ X1 @ X0 )
      | ~ ( model @ ( sk__19 @ X0 @ X0 ) @ X0 )
      | ( status @ X0 @ X0 @ eth ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1054]) ).

thf(zip_derived_cl78949_001,plain,
    ! [X0: $i] :
      ~ ( status @ X0 @ X0 @ eth ),
    inference('sup-',[status(thm)],[zip_derived_cl78941,zip_derived_cl1236]) ).

thf(zip_derived_cl96354,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( model @ ( sk__19 @ X0 @ X0 ) @ X0 )
      | ( model @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1057,zip_derived_cl78949]) ).

thf(zip_derived_cl98516,plain,
    ! [X0: $i] : ( model @ X0 @ sk__52 ),
    inference('sup-',[status(thm)],[zip_derived_cl97007,zip_derived_cl96354]) ).

thf(zip_derived_cl98520,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl98516]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS261+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fvrSSBxC10 true
% 0.15/0.35  % Computer : n008.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 02:18:47 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % 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
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.99  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 65.54/9.99  % Solved by fo/fo5.sh.
% 65.54/9.99  % done 9759 iterations in 9.199s
% 65.54/9.99  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 65.54/9.99  % SZS output start Refutation
% See solution above
% 65.54/9.99  
% 65.54/9.99  
% 65.54/9.99  % Terminating...
% 66.11/10.11  % Runner terminated.
% 66.11/10.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------