TSTP Solution File: NUM550+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM550+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.bHlFh2UQGE true

% Computer : n014.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 12:42:18 EDT 2023

% Result   : Theorem 1.23s 0.77s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   27 (   6 unt;  11 typ;   0 def)
%            Number of atoms       :   34 (  19 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   58 (  11   ~;   5   |;   9   &;  29   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   6   !;   3   ?;   9   :)

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

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

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

thf(xQ_type,type,
    xQ: $i ).

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

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( X0 != slcrc0 )
      | ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0 != slcrc0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl1137,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ( X0 != slcrc0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).

thf(m__2270,axiom,
    ( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ) )
    & ( ( sbrdtbr0 @ xQ )
      = xk )
    & ( aSubsetOf0 @ xQ @ xS )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
       => ( aElementOf0 @ W0 @ xS ) )
    & ( aSet0 @ xQ ) ) ).

thf(zip_derived_cl145,plain,
    ( ( sbrdtbr0 @ xQ )
    = xk ),
    inference(cnf,[status(esa)],[m__2270]) ).

thf(m__,conjecture,
    ~ ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xQ )
      & ( xQ = slcrc0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xQ )
    & ( xQ = slcrc0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl150,plain,
    xQ = slcrc0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1040,plain,
    ( ( sbrdtbr0 @ slcrc0 )
    = xk ),
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl150]) ).

thf(zip_derived_cl1139,plain,
    ( ( slcrc0 != slcrc0 )
    | ( sz00 = xk ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1137,zip_derived_cl1040]) ).

thf(zip_derived_cl1141,plain,
    sz00 = xk,
    inference(simplify,[status(thm)],[zip_derived_cl1139]) ).

thf(m__2202_02,axiom,
    ( ( xk != sz00 )
    & ( aSet0 @ xT )
    & ( aSet0 @ xS ) ) ).

thf(zip_derived_cl111,plain,
    xk != sz00,
    inference(cnf,[status(esa)],[m__2202_02]) ).

thf(zip_derived_cl1142,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1141,zip_derived_cl111]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM550+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.bHlFh2UQGE true
% 0.13/0.34  % Computer : n014.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 13:08:18 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
% 0.21/0.61  % Total configuration time : 435
% 0.21/0.61  % Estimated wc time : 1092
% 0.21/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /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/fo4.sh running for 50s
% 1.23/0.77  % Solved by fo/fo6_bce.sh.
% 1.23/0.77  % BCE start: 152
% 1.23/0.77  % BCE eliminated: 1
% 1.23/0.77  % PE start: 151
% 1.23/0.77  logic: eq
% 1.23/0.77  % PE eliminated: 0
% 1.23/0.77  % done 76 iterations in 0.053s
% 1.23/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.23/0.77  % SZS output start Refutation
% See solution above
% 1.23/0.77  
% 1.23/0.77  
% 1.23/0.77  % Terminating...
% 1.70/0.83  % Runner terminated.
% 1.70/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------