TSTP Solution File: NUM550+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM550+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Xg8iDNn58H true

% Computer : n008.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 0.17s 0.74s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   34 (  14 unt;  11 typ;   0 def)
%            Number of atoms       :   38 (  26 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  12   ~;   7   |;   5   &;  32   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   7   !;   1   ?;   8   :)

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

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

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

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

thf(slbdtrb0_type,type,
    slbdtrb0: $i > $i ).

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

thf(isFinite0_type,type,
    isFinite0: $i > $o ).

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

thf(xQ_type,type,
    xQ: $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(mSegZero,axiom,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ) ).

thf(zip_derived_cl91,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ( X0
       != ( slbdtrb0 @ sz00 ) )
      | ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ~ ( aSet0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl91]) ).

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_cl91_001,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0
       != ( slbdtrb0 @ sz00 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl91]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ( X0
       != ( slbdtrb0 @ sz00 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl143,zip_derived_cl124]) ).

thf(zip_derived_cl145,plain,
    ( ( sbrdtbr0 @ ( slbdtrb0 @ sz00 ) )
    = sz00 ),
    inference(eq_res,[status(thm)],[zip_derived_cl144]) ).

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(m__2291,axiom,
    ( ( ( sbrdtbr0 @ xQ )
      = xk )
    & ( isFinite0 @ xQ )
    & ( aSet0 @ xQ ) ) ).

thf(zip_derived_cl118,plain,
    ( ( sbrdtbr0 @ xQ )
    = xk ),
    inference(cnf,[status(esa)],[m__2291]) ).

thf(m__,conjecture,
    xQ != slcrc0 ).

thf(zf_stmt_0,negated_conjecture,
    xQ = slcrc0,
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl121,plain,
    xQ = slcrc0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl91_002,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(zip_derived_cl128,plain,
    ( xQ
    = ( slbdtrb0 @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl91]) ).

thf(zip_derived_cl130,plain,
    ( ( sbrdtbr0 @ ( slbdtrb0 @ sz00 ) )
    = xk ),
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl128]) ).

thf(zip_derived_cl131,plain,
    ( ( sbrdtbr0 @ ( slbdtrb0 @ sz00 ) )
   != sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl130]) ).

thf(zip_derived_cl146,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl145,zip_derived_cl131]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM550+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Xg8iDNn58H true
% 0.12/0.32  % Computer : n008.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri Aug 25 10:14:02 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.17/0.58  % Total configuration time : 435
% 0.17/0.58  % Estimated wc time : 1092
% 0.17/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.17/0.74  % Solved by fo/fo7.sh.
% 0.17/0.74  % done 33 iterations in 0.026s
% 0.17/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.17/0.74  % SZS output start Refutation
% See solution above
% 0.17/0.74  
% 0.17/0.74  
% 0.17/0.74  % Terminating...
% 1.36/0.79  % Runner terminated.
% 1.36/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------