TSTP Solution File: NUM552+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM552+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.6VgrBGDMuV true

% Computer : n020.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 12:42:19 EDT 2023

% Result   : Theorem 3.89s 1.52s
% Output   : Refutation 3.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   48 (  15 unt;  13 typ;   0 def)
%            Number of atoms       :   80 (   8 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  242 (  34   ~;  30   |;   7   &; 163   @)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

% 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(xx_type,type,
    xx: $i ).

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

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

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

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

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

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

thf(m__,conjecture,
    ( ( aElementOf0 @ xx @ xQ )
   => ( aElementOf0 @ xx @ xT ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aElementOf0 @ xx @ xQ )
     => ( aElementOf0 @ xx @ xT ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl124,plain,
    ~ ( aElementOf0 @ xx @ xT ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123,plain,
    aElementOf0 @ xx @ xQ,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__2270,axiom,
    aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ) ).

thf(zip_derived_cl117,plain,
    aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ),
    inference(cnf,[status(esa)],[m__2270]) ).

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

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

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_cl100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( aSet0 @ X2 )
      | ( X2
       != ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSel]) ).

thf(zip_derived_cl432,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ xk ) )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl100]) ).

thf(zip_derived_cl673,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( aSet0 @ ( slbdtsldtrb0 @ X0 @ xk ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl432]) ).

thf(m__2227,axiom,
    ( ( ( slbdtsldtrb0 @ xS @ xk )
     != slcrc0 )
    & ( aSubsetOf0 @ ( slbdtsldtrb0 @ xS @ xk ) @ ( slbdtsldtrb0 @ xT @ xk ) ) ) ).

thf(zip_derived_cl115,plain,
    aSubsetOf0 @ ( slbdtsldtrb0 @ xS @ xk ) @ ( slbdtsldtrb0 @ xT @ xk ),
    inference(cnf,[status(esa)],[m__2227]) ).

thf(mDefSub,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ W0 )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
               => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl507,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ ( slbdtsldtrb0 @ xT @ xk ) )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ xk ) )
      | ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xT @ xk ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl13]) ).

thf(zip_derived_cl5407,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ xT )
      | ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xT @ xk ) )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ xk ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl673,zip_derived_cl507]) ).

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

thf(zip_derived_cl112,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__2202_02]) ).

thf(zip_derived_cl5408,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xT @ xk ) )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ xk ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5407,zip_derived_cl112]) ).

thf(zip_derived_cl5528,plain,
    aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xT @ xk ),
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl5408]) ).

thf(zip_derived_cl110_001,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__2202]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X2 @ X3 )
      | ( aSubsetOf0 @ X2 @ X0 )
      | ( X3
       != ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSel]) ).

thf(zip_derived_cl960,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( slbdtsldtrb0 @ X1 @ xk ) )
      | ( aSubsetOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl102]) ).

thf(zip_derived_cl5354,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ X0 @ xk ) )
      | ( aSubsetOf0 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl960]) ).

thf(zip_derived_cl5554,plain,
    ( ( aSubsetOf0 @ xQ @ xT )
    | ~ ( aSet0 @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5528,zip_derived_cl5354]) ).

thf(zip_derived_cl112_002,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__2202_02]) ).

thf(zip_derived_cl5558,plain,
    aSubsetOf0 @ xQ @ xT,
    inference(demod,[status(thm)],[zip_derived_cl5554,zip_derived_cl112]) ).

thf(zip_derived_cl13_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl5559,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ xT )
      | ~ ( aElementOf0 @ X0 @ xQ )
      | ( aElementOf0 @ X0 @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5558,zip_derived_cl13]) ).

thf(zip_derived_cl112_004,plain,
    aSet0 @ xT,
    inference(cnf,[status(esa)],[m__2202_02]) ).

thf(zip_derived_cl5565,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xQ )
      | ( aElementOf0 @ X0 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl5559,zip_derived_cl112]) ).

thf(zip_derived_cl5574,plain,
    aElementOf0 @ xx @ xT,
    inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl5565]) ).

thf(zip_derived_cl5608,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl5574]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM552+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6VgrBGDMuV true
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 15:55:00 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.89/1.52  % Solved by fo/fo5.sh.
% 3.89/1.52  % done 1440 iterations in 0.733s
% 3.89/1.52  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.89/1.52  % SZS output start Refutation
% See solution above
% 3.89/1.52  
% 3.89/1.52  
% 3.89/1.52  % Terminating...
% 3.89/1.58  % Runner terminated.
% 3.89/1.59  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------