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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG098+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JySOTMiURV true

% Computer : n023.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 Oct  2 04:50:31 PM UTC 2025

% Result   : Theorem 16.61s 5.71s
% Output   : Refutation 16.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   49 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  111 (  12 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  407 (  42   ~;  35   |;  15   &; 303   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  34   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(smndt0_type,type,
    smndt0: $i > $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(sz10_type,type,
    sz10: $i ).

thf(xJ_type,type,
    xJ: $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(xw_type,type,
    xw: $i ).

thf(aIdeal0_type,type,
    aIdeal0: $i > $o ).

thf(xy_type,type,
    xy: $i ).

thf(xI_type,type,
    xI: $i ).

thf(xb_type,type,
    xb: $i ).

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

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

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

thf(xa_type,type,
    xa: $i ).

thf(mSortsU,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( aElement0 @ ( smndt0 @ W0 ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( smndt0 @ X0 ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSortsU]) ).

thf(mMulMnOne,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
          = ( smndt0 @ W0 ) )
        & ( ( smndt0 @ W0 )
          = ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( ( smndt0 @ X0 )
        = ( sdtasdt0 @ X0 @ ( smndt0 @ sz10 ) ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mMulMnOne]) ).

thf(mAMDistr,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
        & ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
          = ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAMDistr]) ).

thf(zip_derived_cl253,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ X1 @ ( smndt0 @ sz10 ) ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( smndt0 @ X0 ) ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ ( smndt0 @ sz10 ) )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ ( smndt0 @ sz10 ) )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ X0 @ ( sdtpldt0 @ X1 @ ( smndt0 @ sz10 ) ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( smndt0 @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl253]) ).

thf(m__1393,axiom,
    aElementOf0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) @ xI ).

thf(zip_derived_cl35,plain,
    aElementOf0 @ ( sdtasdt0 @ xx @ ( sdtpldt0 @ xb @ ( smndt0 @ sz10 ) ) ) @ xI,
    inference(cnf,[status(esa)],[m__1393]) ).

thf(zip_derived_cl7893,plain,
    ( ( aElementOf0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xb ) @ ( smndt0 @ xx ) ) @ xI )
    | ~ ( aElement0 @ xx )
    | ~ ( aElement0 @ ( smndt0 @ sz10 ) )
    | ~ ( aElement0 @ xb ) ),
    inference('sup+',[status(thm)],[zip_derived_cl257,zip_derived_cl35]) ).

thf(m__1217,axiom,
    ( ( aElement0 @ xy )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl29,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__1217]) ).

thf(m__1294,axiom,
    ( ( ( sdtpldt0 @ xa @ xb )
      = sz10 )
    & ( aElementOf0 @ xb @ xJ )
    & ( aElementOf0 @ xa @ xI ) ) ).

thf(zip_derived_cl31,plain,
    aElementOf0 @ xb @ xJ,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl37,plain,
    ( ~ ( aSet0 @ xJ )
    | ( aElement0 @ xb ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl10]) ).

thf(m__1205,axiom,
    ( ( aIdeal0 @ xJ )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xJ )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xJ )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xJ ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xJ ) ) ) )
    & ( aSet0 @ xJ )
    & ( aIdeal0 @ xI )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xI )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
    & ( aSet0 @ xI ) ) ).

thf(zip_derived_cl20,plain,
    aSet0 @ xJ,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl38,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl20]) ).

thf(zip_derived_cl7945,plain,
    ( ( aElementOf0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xb ) @ ( smndt0 @ xx ) ) @ xI )
    | ~ ( aElement0 @ ( smndt0 @ sz10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7893,zip_derived_cl29,zip_derived_cl38]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( aElementOf0 @ ( sdtasdt0 @ X0 @ X1 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__1205]) ).

thf(m__1374,axiom,
    ( ( sdtpldt0 @ xw @ ( smndt0 @ xx ) )
    = ( sdtpldt0 @ ( sdtasdt0 @ xy @ xa ) @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xb ) @ ( smndt0 @ xx ) ) ) ) ).

thf(zip_derived_cl34,plain,
    ( ( sdtpldt0 @ xw @ ( smndt0 @ xx ) )
    = ( sdtpldt0 @ ( sdtasdt0 @ xy @ xa ) @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xb ) @ ( smndt0 @ xx ) ) ) ),
    inference(cnf,[status(esa)],[m__1374]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xI )
      | ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl47,plain,
    ( ( aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xx ) ) @ xI )
    | ~ ( aElementOf0 @ ( sdtasdt0 @ xy @ xa ) @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xb ) @ ( smndt0 @ xx ) ) @ xI ) ),
    inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl17]) ).

thf(m__,conjecture,
    aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xx ) ) @ xI ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xx ) ) @ xI ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl36,plain,
    ~ ( aElementOf0 @ ( sdtpldt0 @ xw @ ( smndt0 @ xx ) ) @ xI ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ( ~ ( aElementOf0 @ ( sdtasdt0 @ xy @ xa ) @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xb ) @ ( smndt0 @ xx ) ) @ xI ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl36]) ).

thf(zip_derived_cl121,plain,
    ( ~ ( aElementOf0 @ xa @ xI )
    | ~ ( aElement0 @ xy )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xb ) @ ( smndt0 @ xx ) ) @ xI ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl50]) ).

thf(zip_derived_cl32,plain,
    aElementOf0 @ xa @ xI,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl28,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__1217]) ).

thf(zip_derived_cl130,plain,
    ~ ( aElementOf0 @ ( sdtpldt0 @ ( sdtasdt0 @ xx @ xb ) @ ( smndt0 @ xx ) ) @ xI ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl32,zip_derived_cl28]) ).

thf(zip_derived_cl17571,plain,
    ~ ( aElement0 @ ( smndt0 @ sz10 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7945,zip_derived_cl130]) ).

thf(zip_derived_cl17572,plain,
    ~ ( aElement0 @ sz10 ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl17571]) ).

thf(zip_derived_cl30,plain,
    ( ( sdtpldt0 @ xa @ xb )
    = sz10 ),
    inference(cnf,[status(esa)],[m__1294]) ).

thf(mSortsB,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl63,plain,
    ( ( aElement0 @ sz10 )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xa ) ),
    inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl1]) ).

thf(zip_derived_cl38_001,plain,
    aElement0 @ xb,
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl20]) ).

thf(zip_derived_cl32_002,plain,
    aElementOf0 @ xa @ xI,
    inference(cnf,[status(esa)],[m__1294]) ).

thf(zip_derived_cl10_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( aSet0 @ xI )
    | ( aElement0 @ xa ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    aSet0 @ xI,
    inference(cnf,[status(esa)],[m__1205]) ).

thf(zip_derived_cl40,plain,
    aElement0 @ xa,
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl16]) ).

thf(zip_derived_cl64,plain,
    aElement0 @ sz10,
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl38,zip_derived_cl40]) ).

thf(zip_derived_cl17573,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl17572,zip_derived_cl64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.74  % Problem  : RNG098+2 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.77  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JySOTMiURV true
% 0.08/0.98  % Computer : n023.cluster.edu
% 0.08/0.98  % Model    : x86_64 x86_64
% 0.08/0.98  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.98  % Memory   : 8042.1875MB
% 0.08/0.98  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.98  % CPULimit : 300
% 0.08/0.98  % WCLimit  : 300
% 0.08/0.98  % DateTime : Wed Oct  1 17:24:23 EDT 2025
% 0.12/0.99  % CPUTime  : 
% 0.12/0.99  % Running portfolio for 300 s
% 0.12/0.99  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.99  % Number of cores: 8
% 0.12/1.00  % Python version: Python 3.6.8
% 0.12/1.00  % Running in FO mode
% 0.21/1.32  % Total configuration time : 435
% 0.21/1.32  % Estimated wc time : 1092
% 0.21/1.32  % Estimated cpu time (7 cpus) : 156.0
% 0.22/1.41  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/1.41  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/1.42  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/1.45  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/1.52  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/1.54  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/1.56  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 16.61/5.71  % Solved by fo/fo4.sh.
% 16.61/5.71  % done 2122 iterations in 4.018s
% 16.61/5.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.61/5.71  % SZS output start Refutation
% See solution above
% 16.61/5.71  
% 16.61/5.71  
% 16.61/5.71  % Terminating...
% 17.10/5.94  % Runner terminated.
% 17.10/5.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------