TSTP Solution File: NUM538+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM538+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vxPv2235gj true

% Computer : n016.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 12:42:12 EDT 2023

% Result   : Theorem 1.66s 0.89s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   42 (  15 unt;  10 typ;   0 def)
%            Number of atoms       :   75 (  14 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  226 (  28   ~;  21   |;   9   &; 155   @)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(xx_type,type,
    xx: $i ).

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(isFinite0_type,type,
    isFinite0: $i > $o ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(xS_type,type,
    xS: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(mFDiffSet,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ! [W1: $i] :
          ( ( ( aSet0 @ W1 )
            & ( isFinite0 @ W1 ) )
         => ( isFinite0 @ ( sdtmndt0 @ W1 @ W0 ) ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( isFinite0 @ X0 )
      | ( isFinite0 @ ( sdtmndt0 @ X0 @ X1 ) )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[mFDiffSet]) ).

thf(m__1522_02,axiom,
    ( ( aElementOf0 @ xx @ xS )
    & ( isFinite0 @ xS ) ) ).

thf(zip_derived_cl71,plain,
    aElementOf0 @ xx @ xS,
    inference(cnf,[status(esa)],[m__1522_02]) ).

thf(mConsDiff,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( ( sdtpldt0 @ ( sdtmndt0 @ W0 @ W1 ) @ W1 )
            = W0 ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( ( sdtpldt0 @ ( sdtmndt0 @ X1 @ X0 ) @ X0 )
        = X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mConsDiff]) ).

thf(zip_derived_cl311,plain,
    ( ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx )
      = xS )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl37]) ).

thf(m__1522,axiom,
    aSet0 @ xS ).

thf(zip_derived_cl70,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__1522]) ).

thf(zip_derived_cl322,plain,
    ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx )
    = xS ),
    inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl70]) ).

thf(mCardCons,axiom,
    ! [W0: $i] :
      ( ( ( aSet0 @ W0 )
        & ( isFinite0 @ W0 ) )
     => ! [W1: $i] :
          ( ( aElement0 @ W1 )
         => ( ~ ( aElementOf0 @ W1 @ W0 )
           => ( ( sbrdtbr0 @ ( sdtpldt0 @ W0 @ W1 ) )
              = ( szszuzczcdt0 @ ( sbrdtbr0 @ W0 ) ) ) ) ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( ( sbrdtbr0 @ ( sdtpldt0 @ X1 @ X0 ) )
        = ( szszuzczcdt0 @ ( sbrdtbr0 @ X1 ) ) )
      | ( aElementOf0 @ X0 @ X1 )
      | ~ ( isFinite0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mCardCons]) ).

thf(zip_derived_cl524,plain,
    ( ~ ( aElement0 @ xx )
    | ( ( sbrdtbr0 @ xS )
      = ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) ) )
    | ( aElementOf0 @ xx @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( isFinite0 @ ( sdtmndt0 @ xS @ xx ) )
    | ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl69]) ).

thf(zip_derived_cl71_001,plain,
    aElementOf0 @ xx @ xS,
    inference(cnf,[status(esa)],[m__1522_02]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl83,plain,
    ( ( aElement0 @ xx )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl2]) ).

thf(zip_derived_cl70_002,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__1522]) ).

thf(zip_derived_cl84,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl70]) ).

thf(m__,conjecture,
    ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
      & ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
        <=> ( ( aElement0 @ W0 )
            & ( aElementOf0 @ W0 @ xS )
            & ( W0 != xx ) ) ) )
   => ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) )
      = ( sbrdtbr0 @ xS ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
          <=> ( ( aElement0 @ W0 )
              & ( aElementOf0 @ W0 @ xS )
              & ( W0 != xx ) ) ) )
     => ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) )
        = ( sbrdtbr0 @ xS ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl77,plain,
    ! [X1: $i] :
      ( ( X1 != xx )
      | ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    ~ ( aElementOf0 @ xx @ ( sdtmndt0 @ xS @ xx ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl73,plain,
    aSet0 @ ( sdtmndt0 @ xS @ xx ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ( ( sbrdtbr0 @ xS )
      = ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) ) )
    | ~ ( isFinite0 @ ( sdtmndt0 @ xS @ xx ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl524,zip_derived_cl84,zip_derived_cl88,zip_derived_cl73]) ).

thf(zip_derived_cl78,plain,
    ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) )
   != ( sbrdtbr0 @ xS ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl526,plain,
    ~ ( isFinite0 @ ( sdtmndt0 @ xS @ xx ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl525,zip_derived_cl78]) ).

thf(zip_derived_cl527,plain,
    ( ~ ( aElement0 @ xx )
    | ~ ( isFinite0 @ xS )
    | ~ ( aSet0 @ xS ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl526]) ).

thf(zip_derived_cl84_003,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl70]) ).

thf(zip_derived_cl72,plain,
    isFinite0 @ xS,
    inference(cnf,[status(esa)],[m__1522_02]) ).

thf(zip_derived_cl70_004,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__1522]) ).

thf(zip_derived_cl528,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl84,zip_derived_cl72,zip_derived_cl70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM538+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vxPv2235gj true
% 0.17/0.35  % Computer : n016.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Fri Aug 25 14:54:55 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.17/0.36  % Running portfolio for 300 s
% 0.17/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /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
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.66/0.89  % Solved by fo/fo13.sh.
% 1.66/0.89  % done 140 iterations in 0.101s
% 1.66/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.66/0.89  % SZS output start Refutation
% See solution above
% 1.66/0.89  
% 1.66/0.89  
% 1.66/0.89  % Terminating...
% 2.37/0.98  % Runner terminated.
% 2.37/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------