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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM611+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LChu39q8Gy 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 Oct  2 04:47:37 PM UTC 2025

% Result   : Theorem 24.87s 4.18s
% Output   : Refutation 24.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  100 (  47 unt;   0 typ;   0 def)
%            Number of atoms       :  218 (  37 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  620 (  94   ~;  86   |;  13   &; 408   @)
%                                         (   5 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;  11 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  50   !;   0   ?;  50   :)

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

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

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

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

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

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

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

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

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

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

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(szmzizndt0_type,type,
    szmzizndt0: $i > $i ).

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

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

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

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

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

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

thf(xp_type,type,
    xp: $i ).

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

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

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

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

thf(mCardNum,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 )
      <=> ( isFinite0 @ W0 ) ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ~ ( isFinite0 @ X0 )
      | ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardNum]) ).

thf(m__3533,axiom,
    ( ( ( szszuzczcdt0 @ xk )
      = xK )
    & ( aElementOf0 @ xk @ szNzAzT0 ) ) ).

thf(zip_derived_cl145,plain,
    ( ( szszuzczcdt0 @ xk )
    = xK ),
    inference(cnf,[status(esa)],[m__3533]) ).

thf(mSuccLess,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( sdtlseqdt0 @ W0 @ W1 )
      <=> ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSuccLess]) ).

thf(zip_derived_cl1976,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ xK @ ( szszuzczcdt0 @ X0 ) )
      | ( sdtlseqdt0 @ xk @ X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ xk @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl56]) ).

thf(zip_derived_cl146,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl1981,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ xK @ ( szszuzczcdt0 @ X0 ) )
      | ( sdtlseqdt0 @ xk @ X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1976,zip_derived_cl146]) ).

thf(m__5164,axiom,
    ( ( xP
      = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
    & ( aSet0 @ xP ) ) ).

thf(zip_derived_cl190,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
    inference(cnf,[status(esa)],[m__5164]) ).

thf(m__5147,axiom,
    ( xp
    = ( szmzizndt0 @ xQ ) ) ).

thf(zip_derived_cl189,plain,
    ( xp
    = ( szmzizndt0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__5147]) ).

thf(zip_derived_cl1600,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ xp ) ),
    inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl189]) ).

thf(mCardDiff,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( ( isFinite0 @ W0 )
            & ( aElementOf0 @ W1 @ W0 ) )
         => ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ W0 @ W1 ) ) )
            = ( sbrdtbr0 @ W0 ) ) ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ X1 @ X0 ) ) )
        = ( sbrdtbr0 @ X1 ) )
      | ~ ( isFinite0 @ X1 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mCardDiff]) ).

thf(zip_derived_cl2363,plain,
    ( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
      = ( sbrdtbr0 @ xQ ) )
    | ~ ( aSet0 @ xQ )
    | ~ ( isFinite0 @ xQ )
    | ~ ( aElementOf0 @ xp @ xQ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1600,zip_derived_cl68]) ).

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_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(m__5093,axiom,
    ( ( xQ != slcrc0 )
    & ( aSubsetOf0 @ xQ @ xO ) ) ).

thf(zip_derived_cl186,plain,
    aSubsetOf0 @ xQ @ xO,
    inference(cnf,[status(esa)],[m__5093]) ).

thf(zip_derived_cl1423,plain,
    ( ~ ( aSet0 @ xO )
    | ( aSet0 @ xQ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl186]) ).

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

thf(zip_derived_cl177,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl1424,plain,
    aSet0 @ xQ,
    inference(demod,[status(thm)],[zip_derived_cl1423,zip_derived_cl177]) ).

thf(m__5173,axiom,
    aElementOf0 @ xp @ xQ ).

thf(zip_derived_cl192,plain,
    aElementOf0 @ xp @ xQ,
    inference(cnf,[status(esa)],[m__5173]) ).

thf(zip_derived_cl2364,plain,
    ( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
      = ( sbrdtbr0 @ xQ ) )
    | ~ ( isFinite0 @ xQ ) ),
    inference(demod,[status(thm)],[zip_derived_cl2363,zip_derived_cl1424,zip_derived_cl192]) ).

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

thf(zip_derived_cl184,plain,
    aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ),
    inference(cnf,[status(esa)],[m__5078]) ).

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_cl95,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_cl2032,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( slbdtsldtrb0 @ xO @ xK )
       != ( slbdtsldtrb0 @ X1 @ X0 ) )
      | ( ( sbrdtbr0 @ xQ )
        = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aSet0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl95]) ).

thf(zip_derived_cl14852,plain,
    ( ~ ( aSet0 @ xO )
    | ~ ( aElementOf0 @ xK @ szNzAzT0 )
    | ( ( sbrdtbr0 @ xQ )
      = xK ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2032]) ).

thf(zip_derived_cl177_001,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4891]) ).

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

thf(zip_derived_cl133,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3418]) ).

thf(zip_derived_cl14853,plain,
    ( ( sbrdtbr0 @ xQ )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl14852,zip_derived_cl177,zip_derived_cl133]) ).

thf(zip_derived_cl14855,plain,
    ( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
      = xK )
    | ~ ( isFinite0 @ xQ ) ),
    inference(demod,[status(thm)],[zip_derived_cl2364,zip_derived_cl14853]) ).

thf(zip_derived_cl14853_002,plain,
    ( ( sbrdtbr0 @ xQ )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl14852,zip_derived_cl177,zip_derived_cl133]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
      | ( isFinite0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardNum]) ).

thf(zip_derived_cl14908,plain,
    ( ~ ( aElementOf0 @ xK @ szNzAzT0 )
    | ~ ( aSet0 @ xQ )
    | ( isFinite0 @ xQ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14853,zip_derived_cl64]) ).

thf(zip_derived_cl133_003,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3418]) ).

thf(zip_derived_cl1424_004,plain,
    aSet0 @ xQ,
    inference(demod,[status(thm)],[zip_derived_cl1423,zip_derived_cl177]) ).

thf(zip_derived_cl14930,plain,
    isFinite0 @ xQ,
    inference(demod,[status(thm)],[zip_derived_cl14908,zip_derived_cl133,zip_derived_cl1424]) ).

thf(zip_derived_cl15773,plain,
    ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl14855,zip_derived_cl14930]) ).

thf(zip_derived_cl145_005,plain,
    ( ( szszuzczcdt0 @ xk )
    = xK ),
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl56_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSuccLess]) ).

thf(zip_derived_cl1974,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xK )
      | ( sdtlseqdt0 @ X0 @ xk )
      | ~ ( aElementOf0 @ xk @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl56]) ).

thf(zip_derived_cl146_007,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl1980,plain,
    ! [X0: $i] :
      ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xK )
      | ( sdtlseqdt0 @ X0 @ xk )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1974,zip_derived_cl146]) ).

thf(zip_derived_cl15782,plain,
    ( ~ ( sdtlseqdt0 @ xK @ xK )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    | ( sdtlseqdt0 @ ( sbrdtbr0 @ xP ) @ xk ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15773,zip_derived_cl1980]) ).

thf(mLessRefl,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( sdtlseqdt0 @ W0 @ W0 ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ X0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mLessRefl]) ).

thf(zip_derived_cl145_008,plain,
    ( ( szszuzczcdt0 @ xk )
    = xK ),
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl145_009,plain,
    ( ( szszuzczcdt0 @ xk )
    = xK ),
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ X1 ) )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mSuccLess]) ).

thf(zip_derived_cl2015,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xK )
      | ~ ( sdtlseqdt0 @ X0 @ xk )
      | ~ ( aElementOf0 @ xk @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl55]) ).

thf(zip_derived_cl146_010,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl2020,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xK )
      | ~ ( sdtlseqdt0 @ X0 @ xk )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2015,zip_derived_cl146]) ).

thf(zip_derived_cl14491,plain,
    ( ( sdtlseqdt0 @ xK @ xK )
    | ~ ( aElementOf0 @ xk @ szNzAzT0 )
    | ~ ( sdtlseqdt0 @ xk @ xk ) ),
    inference('sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl2020]) ).

thf(zip_derived_cl146_011,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl14506,plain,
    ( ( sdtlseqdt0 @ xK @ xK )
    | ~ ( sdtlseqdt0 @ xk @ xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl14491,zip_derived_cl146]) ).

thf(zip_derived_cl14524,plain,
    ( ~ ( aElementOf0 @ xk @ szNzAzT0 )
    | ( sdtlseqdt0 @ xK @ xK ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl14506]) ).

thf(zip_derived_cl146_012,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl14529,plain,
    sdtlseqdt0 @ xK @ xK,
    inference(demod,[status(thm)],[zip_derived_cl14524,zip_derived_cl146]) ).

thf(zip_derived_cl15853,plain,
    ( ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    | ( sdtlseqdt0 @ ( sbrdtbr0 @ xP ) @ xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl15782,zip_derived_cl14529]) ).

thf(mLessASymm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W1 @ W0 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( X0 = X1 )
      | ~ ( sdtlseqdt0 @ X1 @ X0 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mLessASymm]) ).

thf(zip_derived_cl16876,plain,
    ( ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    | ~ ( sdtlseqdt0 @ xk @ ( sbrdtbr0 @ xP ) )
    | ( xk
      = ( sbrdtbr0 @ xP ) )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    | ~ ( aElementOf0 @ xk @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15853,zip_derived_cl59]) ).

thf(zip_derived_cl146_013,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl16894,plain,
    ( ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    | ~ ( sdtlseqdt0 @ xk @ ( sbrdtbr0 @ xP ) )
    | ( xk
      = ( sbrdtbr0 @ xP ) )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl16876,zip_derived_cl146]) ).

thf(zip_derived_cl16895,plain,
    ( ( xk
      = ( sbrdtbr0 @ xP ) )
    | ~ ( sdtlseqdt0 @ xk @ ( sbrdtbr0 @ xP ) )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16894]) ).

thf(m__,conjecture,
    ( ( sbrdtbr0 @ xP )
    = xk ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sbrdtbr0 @ xP )
   != xk ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl196,plain,
    ( ( sbrdtbr0 @ xP )
   != xk ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16896,plain,
    ( ~ ( sdtlseqdt0 @ xk @ ( sbrdtbr0 @ xP ) )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl16895,zip_derived_cl196]) ).

thf(zip_derived_cl16904,plain,
    ( ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    | ~ ( sdtlseqdt0 @ xK @ ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) ) )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1981,zip_derived_cl16896]) ).

thf(zip_derived_cl15773_014,plain,
    ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl14855,zip_derived_cl14930]) ).

thf(zip_derived_cl14529_015,plain,
    sdtlseqdt0 @ xK @ xK,
    inference(demod,[status(thm)],[zip_derived_cl14524,zip_derived_cl146]) ).

thf(zip_derived_cl16910,plain,
    ( ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl16904,zip_derived_cl15773,zip_derived_cl14529]) ).

thf(zip_derived_cl16911,plain,
    ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ),
    inference(simplify,[status(thm)],[zip_derived_cl16910]) ).

thf(zip_derived_cl16930,plain,
    ( ~ ( aSet0 @ xP )
    | ~ ( isFinite0 @ xP ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl16911]) ).

thf(zip_derived_cl191,plain,
    aSet0 @ xP,
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl1600_016,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ xp ) ),
    inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl189]) ).

thf(mFDiffSet,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ! [W1: $i] :
          ( ( ( aSet0 @ W1 )
            & ( isFinite0 @ W1 ) )
         => ( isFinite0 @ ( sdtmndt0 @ W1 @ W0 ) ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( isFinite0 @ X0 )
      | ( isFinite0 @ ( sdtmndt0 @ X0 @ X1 ) )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[mFDiffSet]) ).

thf(zip_derived_cl1873,plain,
    ( ( isFinite0 @ xP )
    | ~ ( aElement0 @ xp )
    | ~ ( isFinite0 @ xQ )
    | ~ ( aSet0 @ xQ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1600,zip_derived_cl42]) ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(m__5182,axiom,
    aElementOf0 @ xp @ xO ).

thf(zip_derived_cl193,plain,
    aElementOf0 @ xp @ xO,
    inference(cnf,[status(esa)],[m__5182]) ).

thf(zip_derived_cl1452,plain,
    ( ~ ( aSet0 @ xO )
    | ( aElement0 @ xp ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl193]) ).

thf(zip_derived_cl177_017,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl1454,plain,
    aElement0 @ xp,
    inference(demod,[status(thm)],[zip_derived_cl1452,zip_derived_cl177]) ).

thf(zip_derived_cl1424_018,plain,
    aSet0 @ xQ,
    inference(demod,[status(thm)],[zip_derived_cl1423,zip_derived_cl177]) ).

thf(zip_derived_cl1875,plain,
    ( ( isFinite0 @ xP )
    | ~ ( isFinite0 @ xQ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl1454,zip_derived_cl1424]) ).

thf(zip_derived_cl14930_019,plain,
    isFinite0 @ xQ,
    inference(demod,[status(thm)],[zip_derived_cl14908,zip_derived_cl133,zip_derived_cl1424]) ).

thf(zip_derived_cl14962,plain,
    isFinite0 @ xP,
    inference(demod,[status(thm)],[zip_derived_cl1875,zip_derived_cl14930]) ).

thf(zip_derived_cl16933,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16930,zip_derived_cl191,zip_derived_cl14962]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : NUM611+1 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LChu39q8Gy true
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 : Wed Oct  1 16:29:23 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.52/0.63  % Total configuration time : 435
% 0.52/0.63  % Estimated wc time : 1092
% 0.52/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 24.87/4.18  % Solved by fo/fo3_bce.sh.
% 24.87/4.18  % BCE start: 197
% 24.87/4.18  % BCE eliminated: 4
% 24.87/4.18  % PE start: 193
% 24.87/4.18  logic: eq
% 24.87/4.18  % PE eliminated: 0
% 24.87/4.18  % done 3535 iterations in 3.435s
% 24.87/4.18  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.87/4.18  % SZS output start Refutation
% See solution above
% 24.87/4.18  
% 24.87/4.18  
% 24.87/4.18  % Terminating...
% 25.25/4.28  % Runner terminated.
% 25.25/4.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------