TSTP Solution File: NUM597+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM597+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b8uXWaQEni true

% Computer : n001.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 12:42:38 EDT 2023

% Result   : Theorem 1.25s 0.81s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   29 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   36 (   9 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  153 (  13   ~;   8   |;   6   &; 122   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
    szDzizrdt0: $i > $i ).

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

thf(szDzozmdt0_type,type,
    szDzozmdt0: $i > $i ).

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

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(xT_type,type,
    xT: $i ).

thf(xd_type,type,
    xd: $i ).

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

thf(sdtlcdtrc0_type,type,
    sdtlcdtrc0: $i > $i > $i ).

thf(m__4868,axiom,
    ~ ( ( ( aSet0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
          <=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xd ) )
              & ( ( sdtlpdtrp0 @ xd @ W0 )
                = ( szDzizrdt0 @ xd ) ) ) ) )
     => ~ ? [W0: $i] : ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xd ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(cnf,[status(esa)],[m__4868]) ).

thf(zip_derived_cl47,plain,
    aElementOf0 @ sk__8 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ),
    inference(cnf,[status(esa)],[m__4868]) ).

thf(zip_derived_cl53,plain,
    aElementOf0 @ sk__8 @ ( szDzozmdt0 @ xd ),
    inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

thf(m__4758,axiom,
    ( ( aSubsetOf0 @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) @ xT )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) )
       => ( aElementOf0 @ W0 @ xT ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) )
      <=> ? [W1: $i] :
            ( ( ( sdtlpdtrp0 @ xd @ W1 )
              = W0 )
            & ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xd ) ) ) )
    & ( aSet0 @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X1 @ ( szDzozmdt0 @ xd ) )
      | ( ( sdtlpdtrp0 @ xd @ X1 )
       != X0 ) ),
    inference(cnf,[status(esa)],[m__4758]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xd @ sk__8 )
       != X0 )
      | ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl38]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xd @ X0 )
        = ( szDzizrdt0 @ xd ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(cnf,[status(esa)],[m__4868]) ).

thf(zip_derived_cl47_001,plain,
    aElementOf0 @ sk__8 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ),
    inference(cnf,[status(esa)],[m__4868]) ).

thf(zip_derived_cl57,plain,
    ( ( sdtlpdtrp0 @ xd @ sk__8 )
    = ( szDzizrdt0 @ xd ) ),
    inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl47]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( ( szDzizrdt0 @ xd )
       != X0 )
      | ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl57]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xd @ ( szDzozmdt0 @ xd ) ) ) ),
    inference(cnf,[status(esa)],[m__4758]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( ( szDzizrdt0 @ xd )
       != X0 )
      | ( aElementOf0 @ X0 @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl41]) ).

thf(m__,conjecture,
    aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl48,plain,
    ~ ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    ( ( szDzizrdt0 @ xd )
   != ( szDzizrdt0 @ xd ) ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl48]) ).

thf(zip_derived_cl72,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM597+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b8uXWaQEni true
% 0.13/0.34  % Computer : n001.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 : Fri Aug 25 15:24:58 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.61  % Total configuration time : 435
% 0.20/0.61  % Estimated wc time : 1092
% 0.20/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.81  % Solved by fo/fo4.sh.
% 1.25/0.81  % done 33 iterations in 0.023s
% 1.25/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/0.81  % SZS output start Refutation
% See solution above
% 1.25/0.81  
% 1.25/0.81  
% 1.25/0.82  % Terminating...
% 1.41/0.94  % Runner terminated.
% 1.42/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------