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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM544+2 : 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.uO5ArvsBzm 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 04:47:23 PM UTC 2025

% Result   : Theorem 0.59s 0.94s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   35 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  103 (   5 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  364 (  38   ~;  31   |;  15   &; 258   @)
%                                         (   6 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  34   !;   2   ?;  36   :)

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

thf(sk__9_type,type,
    sk__9: $i ).

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

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

thf(isCountable0_type,type,
    isCountable0: $i > $o ).

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

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

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

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

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

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

thf(szmzazxdt0_type,type,
    szmzazxdt0: $i > $i ).

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

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

thf(m__,conjecture,
    ( ~ ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xS )
        | ( xS = slcrc0 ) )
   => ( ( ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ xS )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ xS )
           => ( sdtlseqdt0 @ W0 @ ( szmzazxdt0 @ xS ) ) ) )
     => ( ( ( aSet0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
            <=> ( ( aElementOf0 @ W0 @ szNzAzT0 )
                & ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ) )
       => ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ xS )
             => ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) )
          | ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ~ ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xS )
          | ( xS = slcrc0 ) )
     => ( ( ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ xS )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ xS )
             => ( sdtlseqdt0 @ W0 @ ( szmzazxdt0 @ xS ) ) ) )
       => ( ( ( aSet0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
            & ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
              <=> ( ( aElementOf0 @ W0 @ szNzAzT0 )
                  & ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ) )
         => ( ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ xS )
               => ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) )
            | ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl110,plain,
    ! [X2: $i] :
      ( ( sdtlseqdt0 @ X2 @ ( szmzazxdt0 @ xS ) )
      | ~ ( aElementOf0 @ X2 @ xS ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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_cl108,plain,
    aElementOf0 @ sk__9 @ xS,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__1986,axiom,
    ( ( isFinite0 @ xS )
    & ( aSubsetOf0 @ xS @ szNzAzT0 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xS )
       => ( aElementOf0 @ W0 @ szNzAzT0 ) )
    & ( aSet0 @ xS ) ) ).

thf(zip_derived_cl99,plain,
    aSubsetOf0 @ xS @ szNzAzT0,
    inference(cnf,[status(esa)],[m__1986]) ).

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_cl835,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ xS )
      | ~ ( aSet0 @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl13]) ).

thf(mNATSet,axiom,
    ( ( isCountable0 @ szNzAzT0 )
    & ( aSet0 @ szNzAzT0 ) ) ).

thf(zip_derived_cl44,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl836,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl835,zip_derived_cl44]) ).

thf(zip_derived_cl840,plain,
    aElementOf0 @ sk__9 @ szNzAzT0,
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl836]) ).

thf(zip_derived_cl111,plain,
    aElementOf0 @ ( szmzazxdt0 @ xS ) @ xS,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl836_001,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl835,zip_derived_cl44]) ).

thf(zip_derived_cl837,plain,
    aElementOf0 @ ( szmzazxdt0 @ xS ) @ szNzAzT0,
    inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl836]) ).

thf(mSuccNum,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
        & ( ( szszuzczcdt0 @ W0 )
         != sz00 ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mSuccNum]) ).

thf(mDefSeg,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ! [W1: $i] :
          ( ( W1
            = ( slbdtrb0 @ W0 ) )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
              <=> ( ( aElementOf0 @ W2 @ szNzAzT0 )
                  & ( sdtlseqdt0 @ ( szszuzczcdt0 @ W2 ) @ W0 ) ) ) ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( slbdtrb0 @ X0 ) )
      | ( aElementOf0 @ X2 @ X1 )
      | ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X2 ) @ X0 )
      | ~ ( aElementOf0 @ X2 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mDefSeg]) ).

thf(zip_derived_cl1371,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 )
      | ( aElementOf0 @ X1 @ ( slbdtrb0 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl1374,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ ( szszuzczcdt0 @ X0 ) )
      | ( aElementOf0 @ X1 @ ( slbdtrb0 @ ( szszuzczcdt0 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1371]) ).

thf(zip_derived_cl1427,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) )
      | ( aElementOf0 @ X0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl837,zip_derived_cl1374]) ).

thf(zip_derived_cl1485,plain,
    ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ sk__9 ) @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) )
    | ( aElementOf0 @ sk__9 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl840,zip_derived_cl1427]) ).

thf(zip_derived_cl107,plain,
    ~ ( aElementOf0 @ sk__9 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1489,plain,
    ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ sk__9 ) @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1485,zip_derived_cl107]) ).

thf(zip_derived_cl1507,plain,
    ( ~ ( sdtlseqdt0 @ sk__9 @ ( szmzazxdt0 @ xS ) )
    | ~ ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ szNzAzT0 )
    | ~ ( aElementOf0 @ sk__9 @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl1489]) ).

thf(zip_derived_cl837_002,plain,
    aElementOf0 @ ( szmzazxdt0 @ xS ) @ szNzAzT0,
    inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl836]) ).

thf(zip_derived_cl840_003,plain,
    aElementOf0 @ sk__9 @ szNzAzT0,
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl836]) ).

thf(zip_derived_cl1509,plain,
    ~ ( sdtlseqdt0 @ sk__9 @ ( szmzazxdt0 @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl1507,zip_derived_cl837,zip_derived_cl840]) ).

thf(zip_derived_cl1510,plain,
    ~ ( aElementOf0 @ sk__9 @ xS ),
    inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl1509]) ).

thf(zip_derived_cl108_004,plain,
    aElementOf0 @ sk__9 @ xS,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1511,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1510,zip_derived_cl108]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM544+2 : 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.uO5ArvsBzm 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 16:37:38 EDT 2025
% 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
% 0.58/0.65  % Total configuration time : 435
% 0.58/0.65  % Estimated wc time : 1092
% 0.58/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.94  % Solved by fo/fo6_bce.sh.
% 0.59/0.94  % BCE start: 112
% 0.59/0.94  % BCE eliminated: 1
% 0.59/0.94  % PE start: 111
% 0.59/0.94  logic: eq
% 0.59/0.94  % PE eliminated: 0
% 0.59/0.94  % done 230 iterations in 0.211s
% 0.59/0.94  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.94  % SZS output start Refutation
% See solution above
% 0.59/0.94  
% 0.59/0.94  
% 0.59/0.94  % Terminating...
% 0.64/1.05  % Runner terminated.
% 0.64/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------