TSTP Solution File: NUM565+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM565+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.fobXvFYqhd true

% Computer : n011.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 12:42:25 EDT 2023

% Result   : Theorem 0.59s 0.83s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   23 (   6 unt;  11 typ;   0 def)
%            Number of atoms       :   35 (  16 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   86 (  10   ~;   5   |;  10   &;  53   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   6   !;   2   ?;   8   :)

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

thf(sk__28_type,type,
    sk__28: $i ).

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

thf(sz00_type,type,
    sz00: $i ).

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

thf(xc_type,type,
    xc: $i ).

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

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

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

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

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

thf(m__,conjecture,
    ! [W0: $i] :
      ( ( ( aSet0 @ W0 )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ W0 )
           => ( aElementOf0 @ W1 @ xS ) )
        & ( aSubsetOf0 @ W0 @ xS )
        & ( ( sbrdtbr0 @ W0 )
          = sz00 )
        & ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) )
     => ( ( ( aSet0 @ slcrc0 )
          & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ slcrc0 ) )
       => ( ( sdtlpdtrp0 @ xc @ W0 )
          = ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [W0: $i] :
        ( ( ( aSet0 @ W0 )
          & ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ W0 )
             => ( aElementOf0 @ W1 @ xS ) )
          & ( aSubsetOf0 @ W0 @ xS )
          & ( ( sbrdtbr0 @ W0 )
            = sz00 )
          & ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) )
       => ( ( ( aSet0 @ slcrc0 )
            & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ slcrc0 ) )
         => ( ( sdtlpdtrp0 @ xc @ W0 )
            = ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl213,plain,
    ( ( sdtlpdtrp0 @ xc @ sk__28 )
   != ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ( ( sbrdtbr0 @ sk__28 )
    = sz00 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mCardEmpty,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( ( ( sbrdtbr0 @ W0 )
          = sz00 )
      <=> ( W0 = slcrc0 ) ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
       != sz00 )
      | ( X0 = slcrc0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(zip_derived_cl293,plain,
    ( ( sz00 != sz00 )
    | ( sk__28 = slcrc0 )
    | ~ ( aSet0 @ sk__28 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl68]) ).

thf(zip_derived_cl218,plain,
    aSet0 @ sk__28,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl294,plain,
    ( ( sz00 != sz00 )
    | ( sk__28 = slcrc0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl218]) ).

thf(zip_derived_cl295,plain,
    sk__28 = slcrc0,
    inference(simplify,[status(thm)],[zip_derived_cl294]) ).

thf(zip_derived_cl304,plain,
    ( ( sdtlpdtrp0 @ xc @ slcrc0 )
   != ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl295]) ).

thf(zip_derived_cl305,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl304]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM565+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fobXvFYqhd true
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 18:03:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.83  % Solved by fo/fo1_av.sh.
% 0.59/0.83  % done 83 iterations in 0.050s
% 0.59/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.83  % SZS output start Refutation
% See solution above
% 0.59/0.83  
% 0.59/0.83  
% 0.59/0.83  % Terminating...
% 1.79/0.88  % Runner terminated.
% 1.79/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------