TSTP Solution File: NUM557+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM557+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.DgkqsKRuLt true

% Computer : n012.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 12:42:21 EDT 2023

% Result   : Theorem 1.33s 1.00s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   29 (  10 unt;  11 typ;   0 def)
%            Number of atoms       :   42 (  14 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  112 (  20   ~;  15   |;   6   &;  68   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 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   :   13 (   0   ^;  13   !;   0   ?;  13   :)

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

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

thf(sz00_type,type,
    sz00: $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(szNzAzT0_type,type,
    szNzAzT0: $i ).

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

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

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

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

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

thf(zip_derived_cl130,plain,
    ~ ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xS @ xk ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__2431,axiom,
    ( ( ( sbrdtbr0 @ xP )
      = xk )
    & ( aSubsetOf0 @ xP @ xS ) ) ).

thf(zip_derived_cl129,plain,
    aSubsetOf0 @ xP @ xS,
    inference(cnf,[status(esa)],[m__2431]) ).

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_cl103,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_cl1513,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ xS @ X1 ) )
      | ( aElementOf0 @ xP @ X0 )
      | ( ( sbrdtbr0 @ xP )
       != X1 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( aSet0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl103]) ).

thf(zip_derived_cl128,plain,
    ( ( sbrdtbr0 @ xP )
    = xk ),
    inference(cnf,[status(esa)],[m__2431]) ).

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

thf(zip_derived_cl113,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__2202_02]) ).

thf(zip_derived_cl1515,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ xS @ X1 ) )
      | ( aElementOf0 @ xP @ X0 )
      | ( xk != X1 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1513,zip_derived_cl128,zip_derived_cl113]) ).

thf(zip_derived_cl2035,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ( xk != X0 )
      | ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xS @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1515]) ).

thf(zip_derived_cl2051,plain,
    ( ( xk != xk )
    | ~ ( aElementOf0 @ xk @ szNzAzT0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl2035]) ).

thf(m__2202,axiom,
    aElementOf0 @ xk @ szNzAzT0 ).

thf(zip_derived_cl110,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__2202]) ).

thf(zip_derived_cl2052,plain,
    xk != xk,
    inference(demod,[status(thm)],[zip_derived_cl2051,zip_derived_cl110]) ).

thf(zip_derived_cl2053,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2052]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : NUM557+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DgkqsKRuLt true
% 0.15/0.37  % Computer : n012.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Fri Aug 25 13:05:41 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.82/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.82/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.82/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/1.00  % Solved by fo/fo3_bce.sh.
% 1.33/1.00  % BCE start: 131
% 1.33/1.00  % BCE eliminated: 1
% 1.33/1.00  % PE start: 130
% 1.33/1.00  logic: eq
% 1.33/1.00  % PE eliminated: 0
% 1.33/1.00  % done 257 iterations in 0.216s
% 1.33/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/1.00  % SZS output start Refutation
% See solution above
% 1.33/1.00  
% 1.33/1.00  
% 1.33/1.00  % Terminating...
% 1.67/1.11  % Runner terminated.
% 1.67/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------