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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC401+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.in8a9bg1hU true

% Computer : n001.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 04:59:39 PM UTC 2025

% Result   : Theorem 22.67s 3.86s
% Output   : Refutation 22.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   53 (  30 unt;   0 typ;   0 def)
%            Number of atoms       :  144 (  15 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  435 (  60   ~;  59   |;  10   &; 284   @)
%                                         (   2 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   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   :   47 (   0   ^;  43   !;   4   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

thf(totalorderedP_type,type,
    totalorderedP: $i > $o ).

thf(app_type,type,
    app: $i > $i > $i ).

thf(sk__47_type,type,
    sk__47: $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__50_type,type,
    sk__50: $i ).

thf(sk__49_type,type,
    sk__49: $i ).

thf(sk__48_type,type,
    sk__48: $i ).

thf(sk__7_type,type,
    sk__7: $i > $i > $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(segmentP_type,type,
    segmentP: $i > $i > $o ).

thf(sk__51_type,type,
    sk__51: $i ).

thf(ax26,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ssList @ ( app @ U @ V ) ) ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ~ ( segmentP @ X @ W )
                    | ~ ( totalorderedP @ W )
                    | ? [Y: $i] :
                        ( ( totalorderedP @ Y )
                        & ( segmentP @ Y @ W )
                        & ( segmentP @ X @ Y )
                        & ( neq @ W @ Y )
                        & ( ssList @ Y ) )
                    | ! [Z: $i] :
                        ( ( ssItem @ Z )
                       => ( ~ ( memberP @ U @ Z )
                          | ( memberP @ V @ Z ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ~ ( segmentP @ X @ W )
                      | ~ ( totalorderedP @ W )
                      | ? [Y: $i] :
                          ( ( totalorderedP @ Y )
                          & ( segmentP @ Y @ W )
                          & ( segmentP @ X @ Y )
                          & ( neq @ W @ Y )
                          & ( ssList @ Y ) )
                      | ! [Z: $i] :
                          ( ( ssItem @ Z )
                         => ( ~ ( memberP @ U @ Z )
                            | ( memberP @ V @ Z ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl198,plain,
    segmentP @ sk__50 @ sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205,plain,
    segmentP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl199,zip_derived_cl196]) ).

thf(ax7,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( segmentP @ U @ V )
          <=> ? [W: $i] :
                ( ? [X: $i] :
                    ( ( ( app @ ( app @ W @ V ) @ X )
                      = U )
                    & ( ssList @ X ) )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ( app @ ( app @ ( sk__7 @ X0 @ X1 ) @ X0 ) @ ( sk__8 @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl414,plain,
    ( ~ ( ssList @ sk__47 )
    | ( ( app @ ( app @ ( sk__7 @ sk__47 @ sk__48 ) @ sk__47 ) @ ( sk__8 @ sk__47 @ sk__48 ) )
      = sk__48 )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl19]) ).

thf(zip_derived_cl190,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).

thf(zip_derived_cl420,plain,
    ( ( app @ ( app @ ( sk__7 @ sk__47 @ sk__48 ) @ sk__47 ) @ ( sk__8 @ sk__47 @ sk__48 ) )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl190,zip_derived_cl204]) ).

thf(ax82,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( app @ ( app @ U @ V ) @ W )
                = ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
        = ( app @ X1 @ ( app @ X0 @ X2 ) ) )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax82]) ).

thf(zip_derived_cl2627,plain,
    ( ~ ( ssList @ sk__47 )
    | ( sk__48
      = ( app @ ( sk__7 @ sk__47 @ sk__48 ) @ ( app @ sk__47 @ ( sk__8 @ sk__47 @ sk__48 ) ) ) )
    | ~ ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
    | ~ ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl420,zip_derived_cl172]) ).

thf(zip_derived_cl190_002,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_003,plain,
    segmentP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl199,zip_derived_cl196]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ssList @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl371,plain,
    ( ~ ( ssList @ sk__47 )
    | ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl18]) ).

thf(zip_derived_cl190_004,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204_005,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).

thf(zip_derived_cl376,plain,
    ssList @ ( sk__8 @ sk__47 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl190,zip_derived_cl204]) ).

thf(zip_derived_cl205_006,plain,
    segmentP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl199,zip_derived_cl196]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ssList @ ( sk__7 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl469,plain,
    ( ~ ( ssList @ sk__47 )
    | ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl20]) ).

thf(zip_derived_cl190_007,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204_008,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).

thf(zip_derived_cl474,plain,
    ssList @ ( sk__7 @ sk__47 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl469,zip_derived_cl190,zip_derived_cl204]) ).

thf(zip_derived_cl2653,plain,
    ( sk__48
    = ( app @ ( sk__7 @ sk__47 @ sk__48 ) @ ( app @ sk__47 @ ( sk__8 @ sk__47 @ sk__48 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2627,zip_derived_cl190,zip_derived_cl376,zip_derived_cl474]) ).

thf(zip_derived_cl193,plain,
    memberP @ sk__47 @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax36,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( app @ V @ W ) @ U )
              <=> ( ( memberP @ V @ U )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X0 @ X1 )
      | ( memberP @ ( app @ X0 @ X2 ) @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl1150,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( memberP @ ( app @ sk__47 @ X0 ) @ sk__51 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ sk__51 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl108]) ).

thf(zip_derived_cl190_009,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1165,plain,
    ! [X0: $i] :
      ( ( memberP @ ( app @ sk__47 @ X0 ) @ sk__51 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1150,zip_derived_cl190,zip_derived_cl194]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X1 @ X2 )
      | ( memberP @ ( app @ X0 @ X1 ) @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl1218,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( memberP @ ( app @ X1 @ ( app @ sk__47 @ X0 ) ) @ sk__51 )
      | ~ ( ssList @ ( app @ sk__47 @ X0 ) )
      | ~ ( ssItem @ sk__51 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1165,zip_derived_cl109]) ).

thf(zip_derived_cl194_010,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1235,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( memberP @ ( app @ X1 @ ( app @ sk__47 @ X0 ) ) @ sk__51 )
      | ~ ( ssList @ ( app @ sk__47 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1218,zip_derived_cl194]) ).

thf(zip_derived_cl20855,plain,
    ( ~ ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
    | ~ ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) )
    | ( memberP @ sk__48 @ sk__51 )
    | ~ ( ssList @ ( app @ sk__47 @ ( sk__8 @ sk__47 @ sk__48 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2653,zip_derived_cl1235]) ).

thf(zip_derived_cl376_011,plain,
    ssList @ ( sk__8 @ sk__47 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl190,zip_derived_cl204]) ).

thf(zip_derived_cl474_012,plain,
    ssList @ ( sk__7 @ sk__47 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl469,zip_derived_cl190,zip_derived_cl204]) ).

thf(zip_derived_cl192,plain,
    ~ ( memberP @ sk__48 @ sk__51 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20873,plain,
    ~ ( ssList @ ( app @ sk__47 @ ( sk__8 @ sk__47 @ sk__48 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl20855,zip_derived_cl376,zip_derived_cl474,zip_derived_cl192]) ).

thf(zip_derived_cl20883,plain,
    ( ~ ( ssList @ sk__47 )
    | ~ ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl20873]) ).

thf(zip_derived_cl190_013,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl376_014,plain,
    ssList @ ( sk__8 @ sk__47 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl190,zip_derived_cl204]) ).

thf(zip_derived_cl20884,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl20883,zip_derived_cl190,zip_derived_cl376]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC401+1 : TPTP v9.2.0. Released v2.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.in8a9bg1hU true
% 0.14/0.35  % Computer : n001.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 17:08:08 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.68  % Total configuration time : 435
% 0.57/0.68  % Estimated wc time : 1092
% 0.57/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 22.67/3.86  % Solved by fo/fo13.sh.
% 22.67/3.86  % done 3754 iterations in 3.077s
% 22.67/3.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 22.67/3.86  % SZS output start Refutation
% See solution above
% 22.67/3.86  
% 22.67/3.86  
% 22.67/3.86  % Terminating...
% 22.99/3.89  % Runner terminated.
% 22.99/3.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------