TSTP Solution File: NUM578+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM578+3 : 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.pdHKMuOcJs true

% Computer : n003.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 12:42:29 EDT 2023

% Result   : Theorem 1.35s 0.82s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   45 (  11 unt;  15 typ;   0 def)
%            Number of atoms       :  139 (  28 equ;   0 cnn)
%            Maximal formula atoms :   29 (   4 avg)
%            Number of connectives :  717 (  33   ~;  18   |;  44   &; 575   @)
%                                         (   4 <=>;  34  =>;   9  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   5 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

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

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

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

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

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

thf(xj_type,type,
    xj: $i ).

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

thf(xN_type,type,
    xN: $i ).

thf(zip_tseitin_24_type,type,
    zip_tseitin_24: $i > $i > $o ).

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

thf(m__3856_02,axiom,
    ( ( xi != xj )
   => ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ) ) ).

thf(zip_derived_cl241,plain,
    ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj )
    | ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
    | ( xi = xj ) ),
    inference(cnf,[status(esa)],[m__3856_02]) ).

thf(zip_derived_cl265,plain,
    ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj )
   <= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(m__,conjecture,
    ( ! [W0: $i,W1: $i] :
        ( ( ( aElementOf0 @ W1 @ szNzAzT0 )
          & ( aElementOf0 @ W0 @ szNzAzT0 ) )
       => ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ W1 )
         => ( ~ ( ( ! [W2: $i] :
                      ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
                     => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) )
                  & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) )
               => ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) )
                    = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
                  | ( ! [W2: $i] :
                        ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
                       => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) )
                    & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
            & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W1 ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
               => ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
              <=> ( ( W2
                   != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
                  & ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
                  & ( aElement0 @ W2 ) ) )
            & ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
               => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
            & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
   => ( ( xi != xj )
     => ~ ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
            = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) )
             => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
          & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xj ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
             => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
          & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_24: $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [W2: $i,W0: $i] :
      ( ( zip_tseitin_24 @ W2 @ W0 )
    <=> ( ( aElement0 @ W2 )
        & ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
        & ( W2
         != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).

thf(zf_stmt_2,conjecture,
    ( ! [W0: $i,W1: $i] :
        ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
          & ( aElementOf0 @ W1 @ szNzAzT0 ) )
       => ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ W1 )
         => ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
               => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
            & ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
              <=> ( zip_tseitin_24 @ W2 @ W0 ) )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
               => ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
            & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W1 ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
            & ~ ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ ( sdtlpdtrp0 @ xN @ W1 ) )
                  & ! [W2: $i] :
                      ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
                     => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) )
               => ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
                    & ! [W2: $i] :
                        ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
                       => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) )
                  | ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) )
                    = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) )
   => ( ( xi != xj )
     => ~ ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
             => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
          & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xj ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) )
             => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
          & ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
            = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ( ! [W0: $i,W1: $i] :
          ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
            & ( aElementOf0 @ W1 @ szNzAzT0 ) )
         => ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ W1 )
           => ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
              & ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
                 => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
              & ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
              & ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
                <=> ( zip_tseitin_24 @ W2 @ W0 ) )
              & ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
                 => ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
              & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W1 ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
              & ~ ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ ( sdtlpdtrp0 @ xN @ W1 ) )
                    & ! [W2: $i] :
                        ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
                       => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) )
                 => ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
                      & ! [W2: $i] :
                          ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
                         => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) )
                    | ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) )
                      = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) )
     => ( ( xi != xj )
       => ~ ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
            & ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
               => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
            & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xj ) )
            & ! [W0: $i] :
                ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) )
               => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
            & ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
              = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) )
       != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
      | ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl384,plain,
    ( ( ~ ( aElementOf0 @ xi @ szNzAzT0 )
      | ~ ( aElementOf0 @ xj @ szNzAzT0 )
      | ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) )
       != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
   <= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl257]) ).

thf(m__3856,axiom,
    ( ( aElementOf0 @ xj @ szNzAzT0 )
    & ( aElementOf0 @ xi @ szNzAzT0 ) ) ).

thf(zip_derived_cl240,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl239,plain,
    aElementOf0 @ xj @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl258,plain,
    ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
    = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl388,plain,
    ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
     != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
   <= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ),
    inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl240,zip_derived_cl239,zip_derived_cl258]) ).

thf(zip_derived_cl389,plain,
    ( $false
   <= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ),
    inference(simplify,[status(thm)],[zip_derived_cl388]) ).

thf(zip_derived_cl266,plain,
    ( ( xi = xj )
   <= ( xi = xj ) ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(zip_derived_cl263,plain,
    xi != xj,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl269,plain,
    ( ( xi != xi )
   <= ( xi = xj ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl263]) ).

thf('0',plain,
    xi != xj,
    inference(simplify,[status(thm)],[zip_derived_cl269]) ).

thf(zip_derived_cl264,plain,
    ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
   <= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ) ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(zip_derived_cl257_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) )
       != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
      | ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl383,plain,
    ( ( ~ ( aElementOf0 @ xj @ szNzAzT0 )
      | ~ ( aElementOf0 @ xi @ szNzAzT0 )
      | ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
       != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) )
   <= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl257]) ).

thf(zip_derived_cl239_002,plain,
    aElementOf0 @ xj @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl240_003,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl258_004,plain,
    ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
    = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl386,plain,
    ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
     != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
   <= ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ) ),
    inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl239,zip_derived_cl240,zip_derived_cl258]) ).

thf('1',plain,
    ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ),
    inference(simplify,[status(thm)],[zip_derived_cl386]) ).

thf('2',plain,
    ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj )
    | ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
    | ( xi = xj ) ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf('3',plain,
    sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj,
    inference('sat_resolution*',[status(thm)],['0','1','2']) ).

thf(zip_derived_cl391,plain,
    $false,
    inference(simpl_trail,[status(thm)],[zip_derived_cl389,'3']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM578+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pdHKMuOcJs true
% 0.14/0.34  % Computer : n003.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
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 16:58:38 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
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.35/0.82  % Solved by fo/fo1_av.sh.
% 1.35/0.82  % done 118 iterations in 0.063s
% 1.35/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.82  % SZS output start Refutation
% See solution above
% 1.35/0.82  
% 1.35/0.82  
% 1.35/0.82  % Terminating...
% 1.52/0.86  % Runner terminated.
% 1.52/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------