TSTP Solution File: NUM547+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM547+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.FcZFcm34wH true

% Computer : n018.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 12:42:16 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   21 (   5 unt;  10 typ;   0 def)
%            Number of atoms       :   68 (  14 equ;   0 cnn)
%            Maximal formula atoms :   43 (   6 avg)
%            Number of connectives :  210 (   8   ~;  11   |;  29   &; 145   @)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  15   !;   4   ?;  19   :)

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

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

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

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

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

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

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

thf(slcrc0_type,type,
    slcrc0: $i ).

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

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

thf(mDefEmp,axiom,
    ! [W0: $i] :
      ( ( W0 = slcrc0 )
    <=> ( ( aSet0 @ W0 )
        & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
      | ( ( ( sbrdtbr0 @ W0 )
          = xk )
        & ( ( aSubsetOf0 @ W0 @ xS )
          | ( ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ W0 )
               => ( aElementOf0 @ W1 @ xS ) )
            & ( aSet0 @ W0 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
        | ( ( ( sbrdtbr0 @ W0 )
            = xk )
          & ( ( aSubsetOf0 @ W0 @ xS )
            | ( ! [W1: $i] :
                  ( ( aElementOf0 @ W1 @ W0 )
                 => ( aElementOf0 @ W1 @ xS ) )
              & ( aSet0 @ W0 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl145,plain,
    ! [X1: $i] :
      ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ xS @ xk ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1030,plain,
    ( ~ ( aSet0 @ ( slbdtsldtrb0 @ xS @ xk ) )
    | ( ( slbdtsldtrb0 @ xS @ xk )
      = slcrc0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl145]) ).

thf(m__2227,axiom,
    ( ~ ( ! [W0: $i] :
            ( ( ( ( ( ( aSet0 @ W0 )
                    & ! [W1: $i] :
                        ( ( aElementOf0 @ W1 @ W0 )
                       => ( aElementOf0 @ W1 @ xS ) ) )
                  | ( aSubsetOf0 @ W0 @ xS ) )
                & ( ( sbrdtbr0 @ W0 )
                  = xk ) )
             => ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) ) )
            & ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
             => ( ( aSet0 @ W0 )
                & ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ xS ) )
                & ( aSubsetOf0 @ W0 @ xS )
                & ( ( sbrdtbr0 @ W0 )
                  = xk ) ) ) )
       => ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
          | ( ( slbdtsldtrb0 @ xS @ xk )
            = slcrc0 ) ) )
    & ( aSubsetOf0 @ ( slbdtsldtrb0 @ xS @ xk ) @ ( slbdtsldtrb0 @ xT @ xk ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
       => ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) ) )
    & ! [W0: $i] :
        ( ( ( ( ( ( aSet0 @ W0 )
                & ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ xT ) ) )
              | ( aSubsetOf0 @ W0 @ xT ) )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) )
         => ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) ) )
        & ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) )
         => ( ( aSet0 @ W0 )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ W0 )
               => ( aElementOf0 @ W1 @ xT ) )
            & ( aSubsetOf0 @ W0 @ xT )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) ) ) )
    & ( aSet0 @ ( slbdtsldtrb0 @ xT @ xk ) )
    & ! [W0: $i] :
        ( ( ( ( ( ( aSet0 @ W0 )
                & ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ xS ) ) )
              | ( aSubsetOf0 @ W0 @ xS ) )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) )
         => ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) ) )
        & ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
         => ( ( aSet0 @ W0 )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ W0 )
               => ( aElementOf0 @ W1 @ xS ) )
            & ( aSubsetOf0 @ W0 @ xS )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) ) ) )
    & ( aSet0 @ ( slbdtsldtrb0 @ xS @ xk ) ) ) ).

thf(zip_derived_cl114,plain,
    aSet0 @ ( slbdtsldtrb0 @ xS @ xk ),
    inference(cnf,[status(esa)],[m__2227]) ).

thf(zip_derived_cl1032,plain,
    ( ( slbdtsldtrb0 @ xS @ xk )
    = slcrc0 ),
    inference(demod,[status(thm)],[zip_derived_cl1030,zip_derived_cl114]) ).

thf(zip_derived_cl132,plain,
    ( ( slbdtsldtrb0 @ xS @ xk )
   != slcrc0 ),
    inference(cnf,[status(esa)],[m__2227]) ).

thf(zip_derived_cl1033,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1032,zip_derived_cl132]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM547+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FcZFcm34wH true
% 0.13/0.34  % Computer : n018.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 15:14:44 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
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76  % Solved by fo/fo6_bce.sh.
% 0.21/0.76  % BCE start: 146
% 0.21/0.76  % BCE eliminated: 1
% 0.21/0.76  % PE start: 145
% 0.21/0.76  logic: eq
% 0.21/0.76  % PE eliminated: 0
% 0.21/0.76  % done 17 iterations in 0.036s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 1.70/0.84  % Runner terminated.
% 1.70/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------