↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM614+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hVq2P2ZzCl true

% Computer : n007.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 Oct  2 04:47:38 PM UTC 2025

% Result   : Theorem 0.52s 0.98s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   40 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  107 (  18   ~;  14   |;   5   &;  67   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  13   !;   0   ?;  13   :)

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

thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

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

thf(xP_type,type,
    xP: $i ).

thf(isCountable0_type,type,
    isCountable0: $i > $o ).

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

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

thf(xO_type,type,
    xO: $i ).

thf(xK_type,type,
    xK: $i ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

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

thf(xk_type,type,
    xk: $i ).

thf(m__3533,axiom,
    ( ( ( szszuzczcdt0 @ xk )
      = xK )
    & ( aElementOf0 @ xk @ szNzAzT0 ) ) ).

thf(zip_derived_cl15,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(mDefSel,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( slbdtsldtrb0 @ W0 @ W1 ) )
        <=> ( ( aSet0 @ W2 )
            & ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( ( aSubsetOf0 @ W3 @ W0 )
                  & ( ( sbrdtbr0 @ W3 )
                    = W1 ) ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( aSubsetOf0 @ X2 @ X0 )
      | ( ( sbrdtbr0 @ X2 )
       != X1 )
      | ( aElementOf0 @ X2 @ X3 )
      | ( X3
       != ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSel]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ xk ) )
      | ( aElementOf0 @ X2 @ X0 )
      | ( ( sbrdtbr0 @ X2 )
       != xk )
      | ~ ( aSubsetOf0 @ X2 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X1 @ X0 )
      | ( ( sbrdtbr0 @ X1 )
       != xk )
      | ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ X0 @ xk ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl37]) ).

thf(m__,conjecture,
    aElementOf0 @ xP @ ( slbdtsldtrb0 @ xO @ xk ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xO @ xk ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl27,plain,
    ~ ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xO @ xk ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ( ( ( sbrdtbr0 @ xP )
     != xk )
    | ~ ( aSubsetOf0 @ xP @ xO )
    | ~ ( aSet0 @ xO ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl27]) ).

thf(m__5217,axiom,
    ( ( sbrdtbr0 @ xP )
    = xk ) ).

thf(zip_derived_cl26,plain,
    ( ( sbrdtbr0 @ xP )
    = xk ),
    inference(cnf,[status(esa)],[m__5217]) ).

thf(m__5208,axiom,
    aSubsetOf0 @ xP @ xO ).

thf(zip_derived_cl25,plain,
    aSubsetOf0 @ xP @ xO,
    inference(cnf,[status(esa)],[m__5208]) ).

thf(m__4908,axiom,
    ( ( isCountable0 @ xO )
    & ( aSet0 @ xO ) ) ).

thf(zip_derived_cl18,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4908]) ).

thf(zip_derived_cl76,plain,
    xk != xk,
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl26,zip_derived_cl25,zip_derived_cl18]) ).

thf(zip_derived_cl77,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl76]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM614+1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hVq2P2ZzCl true
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 16:18:53 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.51/0.64  % Total configuration time : 435
% 0.51/0.64  % Estimated wc time : 1092
% 0.51/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.98  % Solved by fo/fo4.sh.
% 0.52/0.98  % done 45 iterations in 0.096s
% 0.52/0.98  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.98  % SZS output start Refutation
% See solution above
% 0.52/0.98  
% 0.52/0.98  
% 0.52/0.98  % Terminating...
% 1.57/1.16  % Runner terminated.
% 1.57/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------