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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC320+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.ZrZWd7gTOf true

% Computer : n022.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 04:59:22 PM UTC 2025

% Result   : Theorem 0.51s 0.82s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   52 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :  169 ( 104 equ;   0 cnn)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  484 ( 103   ~;  72   |;  17   &; 264   @)
%                                         (   0 <=>;   8  =>;  20  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  28   !;   4   ?;  32   :)

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

thf(sk__52_type,type,
    sk__52: $i ).

thf(nil_type,type,
    nil: $i ).

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__51_type,type,
    sk__51: $i ).

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

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

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

thf(cons_type,type,
    cons: $i > $i > $i ).

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( ? [X1: $i] :
                          ( ? [X2: $i] :
                              ( ( ( app @ X2 @ ( cons @ X1 @ nil ) )
                                = V )
                              & ( ( app @ ( cons @ X1 @ nil ) @ X2 )
                                = U )
                              & ( ssList @ X2 ) )
                          & ( ssItem @ X1 ) )
                      | ~ ( neq @ V @ nil ) )
                    & ( ( nil = U )
                      | ( nil != V ) ) )
                  | ( ( neq @ X @ nil )
                    & ! [Y: $i] :
                        ( ( ssItem @ Y )
                       => ! [Z: $i] :
                            ( ( ( app @ Z @ ( cons @ Y @ nil ) )
                             != X )
                            | ( ( app @ ( cons @ Y @ nil ) @ Z )
                             != W )
                            | ~ ( ssList @ Z ) ) ) )
                  | ( ( nil = X )
                    & ( nil != W ) )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ( ? [X1: $i] :
                            ( ? [X2: $i] :
                                ( ( ( app @ X2 @ ( cons @ X1 @ nil ) )
                                  = V )
                                & ( ( app @ ( cons @ X1 @ nil ) @ X2 )
                                  = U )
                                & ( ssList @ X2 ) )
                            & ( ssItem @ X1 ) )
                        | ~ ( neq @ V @ nil ) )
                      & ( ( nil = U )
                        | ( nil != V ) ) )
                    | ( ( neq @ X @ nil )
                      & ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ! [Z: $i] :
                              ( ( ( app @ Z @ ( cons @ Y @ nil ) )
                               != X )
                              | ( ( app @ ( cons @ Y @ nil ) @ Z )
                               != W )
                              | ~ ( ssList @ Z ) ) ) )
                    | ( ( nil = X )
                      & ( nil != W ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl195,plain,
    ( ( neq @ sk__48 @ nil )
    | ( nil = sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( nil = sk__48 )
    | ( neq @ sk__48 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( app @ X1 @ ( cons @ X0 @ nil ) )
       != sk__48 )
      | ( ( app @ ( cons @ X0 @ nil ) @ X1 )
       != sk__47 )
      | ~ ( ssList @ X1 )
      | ( nil = sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl208,plain,
    ( ( nil = sk__48 )
   <= ( nil = sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl202,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201,plain,
    ( ( nil != sk__50 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl221,plain,
    ( ( nil != sk__50 )
   <= ( nil != sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl273,plain,
    ( ( nil != sk__48 )
   <= ( nil != sk__50 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl221]) ).

thf(zip_derived_cl278,plain,
    ( ( nil != nil )
   <= ( ( nil != sk__50 )
      & ( nil = sk__48 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl273]) ).

thf('1',plain,
    ( ( nil = sk__50 )
    | ( nil != sk__48 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl278]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( app @ X1 @ ( cons @ X0 @ nil ) )
       != sk__48 )
      | ( ( app @ ( cons @ X0 @ nil ) @ X1 )
       != sk__47 )
      | ~ ( ssList @ X1 )
      | ( nil != sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ( nil != sk__47 )
    | ! [X0: $i,X1: $i] :
        ( ~ ( ssItem @ X0 )
        | ~ ( ssList @ X1 )
        | ( ( app @ ( cons @ X0 @ nil ) @ X1 )
         != sk__47 )
        | ( ( app @ X1 @ ( cons @ X0 @ nil ) )
         != sk__48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf('3',plain,
    ( ( nil = sk__48 )
    | ! [X0: $i,X1: $i] :
        ( ~ ( ssItem @ X0 )
        | ~ ( ssList @ X1 )
        | ( ( app @ ( cons @ X0 @ nil ) @ X1 )
         != sk__47 )
        | ( ( app @ X1 @ ( cons @ X0 @ nil ) )
         != sk__48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

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

thf(zip_derived_cl198,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__49 )
   <= ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl205,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( ssItem @ X0 )
        | ~ ( ssList @ X1 )
        | ( ( app @ ( cons @ X0 @ nil ) @ X1 )
         != sk__47 )
        | ( ( app @ X1 @ ( cons @ X0 @ nil ) )
         != sk__48 ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( ssItem @ X0 )
        | ~ ( ssList @ X1 )
        | ( ( app @ ( cons @ X0 @ nil ) @ X1 )
         != sk__47 )
        | ( ( app @ X1 @ ( cons @ X0 @ nil ) )
         != sk__48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl253,plain,
    ( ( ~ ( ssItem @ sk__51 )
      | ~ ( ssList @ sk__52 )
      | ( sk__49 != sk__47 )
      | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
       != sk__48 ) )
   <= ( ! [X0: $i,X1: $i] :
          ( ~ ( ssItem @ X0 )
          | ~ ( ssList @ X1 )
          | ( ( app @ ( cons @ X0 @ nil ) @ X1 )
           != sk__47 )
          | ( ( app @ X1 @ ( cons @ X0 @ nil ) )
           != sk__48 ) )
      & ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
        = sk__49 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl205]) ).

thf(zip_derived_cl257,plain,
    ( ( sk__49 != sk__47 )
   <= ( sk__49 != sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl267,plain,
    ( ( sk__47 != sk__47 )
   <= ( sk__49 != sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl257]) ).

thf('4',plain,
    sk__49 = sk__47,
    inference(simplify,[status(thm)],[zip_derived_cl267]) ).

thf(zip_derived_cl202_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl217,plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__50 )
   <= ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl255,plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
     != sk__48 )
   <= ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
     != sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl263,plain,
    ( ( sk__50 != sk__48 )
   <= ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
       != sk__48 )
      & ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
        = sk__50 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl255]) ).

thf(zip_derived_cl275,plain,
    ( ( sk__48 != sk__48 )
   <= ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
       != sk__48 )
      & ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
        = sk__50 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl263]) ).

thf('5',plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__48 )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
     != sk__50 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl275]) ).

thf(zip_derived_cl197,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ssList @ sk__52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ( ssList @ sk__52 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('7',plain,
    ( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__49 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('8',plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__50 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl200,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ssItem @ sk__51 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ( ssItem @ sk__51 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf('10',plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
     != sk__48 )
    | ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
     != sk__49 )
    | ( sk__49 != sk__47 )
    | ~ ! [X0: $i,X1: $i] :
          ( ~ ( ssItem @ X0 )
          | ~ ( ssList @ X1 )
          | ( ( app @ ( cons @ X0 @ nil ) @ X1 )
           != sk__47 )
          | ( ( app @ X1 @ ( cons @ X0 @ nil ) )
           != sk__48 ) )
    | ~ ( ssItem @ sk__51 )
    | ~ ( ssList @ sk__52 ) ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl202_002,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ~ ( neq @ sk__50 @ nil )
   <= ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl272,plain,
    ( ~ ( neq @ sk__48 @ nil )
   <= ~ ( neq @ sk__50 @ nil ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl214]) ).

thf(zip_derived_cl194,plain,
    ( ( neq @ sk__48 @ nil )
    | ( nil != sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl209,plain,
    ( ( neq @ sk__48 @ nil )
   <= ( neq @ sk__48 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('11',plain,
    ( ~ ( neq @ sk__48 @ nil )
    | ( neq @ sk__50 @ nil ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl209]) ).

thf('12',plain,
    ( ( nil != sk__47 )
    | ( neq @ sk__48 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl222,plain,
    ( ( nil = sk__49 )
   <= ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl196_003,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ( sk__47 = nil )
   <= ( nil = sk__49 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl196]) ).

thf(zip_derived_cl206,plain,
    ( ( nil != sk__47 )
   <= ( nil != sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl270,plain,
    ( ( nil != nil )
   <= ( ( nil != sk__47 )
      & ( nil = sk__49 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl206]) ).

thf('13',plain,
    ( ( nil != sk__49 )
    | ( nil = sk__47 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl270]) ).

thf('14',plain,
    ( ( nil = sk__49 )
    | ( nil != sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl300,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC320+1 : TPTP v9.2.0. Released v2.4.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZrZWd7gTOf true
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 17:14:23 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.18/0.34  % Python version: Python 3.6.8
% 0.18/0.34  % Running in FO mode
% 0.48/0.60  % Total configuration time : 435
% 0.48/0.60  % Estimated wc time : 1092
% 0.48/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.82  % Solved by fo/fo1_av.sh.
% 0.51/0.82  % done 65 iterations in 0.067s
% 0.51/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.82  % SZS output start Refutation
% See solution above
% 0.51/0.82  
% 0.51/0.82  
% 0.51/0.82  % Terminating...
% 1.59/0.96  % Runner terminated.
% 1.59/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------