TSTP Solution File: NUM605+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM605+1 : 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.l5q9Z7t42b 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 12:42:41 EDT 2023

% Result   : Theorem 1.94s 0.88s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   44 (  19 unt;  17 typ;   0 def)
%            Number of atoms       :   48 (  22 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  114 (  16   ~;  13   |;   4   &;  77   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
    szDzizrdt0: $i > $i ).

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(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

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

thf(xe_type,type,
    xe: $i ).

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

thf(xd_type,type,
    xd: $i ).

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

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

thf(xO_type,type,
    xO: $i ).

thf(xK_type,type,
    xK: $i ).

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

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

thf(sdtlcdtrc0_type,type,
    sdtlcdtrc0: $i > $i > $i ).

thf(m__5078,axiom,
    aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) ).

thf(zip_derived_cl133,plain,
    aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ),
    inference(cnf,[status(esa)],[m__5078]) ).

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

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

thf(zip_derived_cl134,plain,
    xQ = slcrc0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl975,plain,
    aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xO @ xK ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl134]) ).

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_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X2 @ X3 )
      | ( ( sbrdtbr0 @ X2 )
        = X1 )
      | ( X3
       != ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSel]) ).

thf(zip_derived_cl1316,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( slbdtsldtrb0 @ xO @ xK )
       != ( slbdtsldtrb0 @ X1 @ X0 ) )
      | ( ( sbrdtbr0 @ slcrc0 )
        = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl975,zip_derived_cl73]) ).

thf(mZeroNum,axiom,
    aElementOf0 @ sz00 @ szNzAzT0 ).

thf(zip_derived_cl23,plain,
    aElementOf0 @ sz00 @ szNzAzT0,
    inference(cnf,[status(esa)],[mZeroNum]) ).

thf(mCardSeg,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( sbrdtbr0 @ ( slbdtrb0 @ W0 ) )
        = W0 ) ) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ ( slbdtrb0 @ X0 ) )
        = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mCardSeg]) ).

thf(zip_derived_cl988,plain,
    ( ( sbrdtbr0 @ ( slbdtrb0 @ sz00 ) )
    = sz00 ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl71]) ).

thf(mSegZero,axiom,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ) ).

thf(zip_derived_cl63,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(cnf,[status(esa)],[mSegZero]) ).

thf(zip_derived_cl993,plain,
    ( ( sbrdtbr0 @ slcrc0 )
    = sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl63]) ).

thf(zip_derived_cl1328,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( slbdtsldtrb0 @ xO @ xK )
       != ( slbdtsldtrb0 @ X1 @ X0 ) )
      | ( sz00 = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1316,zip_derived_cl993]) ).

thf(zip_derived_cl1383,plain,
    ( ~ ( aSet0 @ xO )
    | ~ ( aElementOf0 @ xK @ szNzAzT0 )
    | ( sz00 = xK ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1328]) ).

thf(m__4891,axiom,
    ( ( xO
      = ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
    & ( aSet0 @ xO ) ) ).

thf(zip_derived_cl126,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4891]) ).

thf(m__3418,axiom,
    aElementOf0 @ xK @ szNzAzT0 ).

thf(zip_derived_cl93,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3418]) ).

thf(zip_derived_cl1384,plain,
    sz00 = xK,
    inference(demod,[status(thm)],[zip_derived_cl1383,zip_derived_cl126,zip_derived_cl93]) ).

thf(m__3462,axiom,
    xK != sz00 ).

thf(zip_derived_cl98,plain,
    xK != sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl1385,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1384,zip_derived_cl98]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM605+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.l5q9Z7t42b true
% 0.16/0.35  % Computer : n014.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Fri Aug 25 08:37:48 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.36  % Python version: Python 3.6.8
% 0.16/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.85  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.94/0.88  % Solved by fo/fo3_bce.sh.
% 1.94/0.88  % BCE start: 135
% 1.94/0.88  % BCE eliminated: 4
% 1.94/0.88  % PE start: 131
% 1.94/0.88  logic: eq
% 1.94/0.88  % PE eliminated: -6
% 1.94/0.88  % done 172 iterations in 0.108s
% 1.94/0.88  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.94/0.88  % SZS output start Refutation
% See solution above
% 1.94/0.88  
% 1.94/0.88  
% 1.94/0.88  % Terminating...
% 2.17/0.96  % Runner terminated.
% 2.17/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------