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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC096+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.FDjRrVocwu true

% Computer : n007.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 04:58:35 PM UTC 2025

% Result   : Theorem 0.54s 1.00s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   39 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  105 (  43 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  272 (  55   ~;  50   |;   8   &; 151   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 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   :   27 (   0   ^;  23   !;   4   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

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

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

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

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

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

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

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

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

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

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

thf(zip_derived_cl37,plain,
    ( ( neq @ sk__5 @ nil )
    | ( ( cons @ sk__8 @ nil )
      = sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    ( ( neq @ sk__5 @ nil )
    | ( ( cons @ sk__8 @ nil )
      = sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl29]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( ( cons @ sk__8 @ nil )
      = sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29_001,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ( ~ ( neq @ sk__5 @ nil )
    | ( ( cons @ sk__8 @ nil )
      = sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl42,zip_derived_cl29]) ).

thf(zip_derived_cl56,plain,
    ( ( cons @ sk__8 @ nil )
    = sk__4 ),
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl51]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
      = sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_002,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ( ( neq @ sk__5 @ nil )
    | ( neq @ sk__5 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl65,plain,
    neq @ sk__5 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl56_003,plain,
    ( ( cons @ sk__8 @ nil )
    = sk__4 ),
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl51]) ).

thf(zip_derived_cl42_004,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    ( ( app @ sk__9 @ sk__4 )
    = sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl42,zip_derived_cl65,zip_derived_cl56,zip_derived_cl42]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( neq @ sk__7 @ nil )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ ( cons @ X1 @ nil ) )
       != sk__5 )
      | ( ( cons @ X1 @ nil )
       != sk__4 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( neq @ sk__7 @ nil )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ sk__4 )
       != sk__5 )
      | ( ( cons @ X1 @ nil )
       != sk__4 )
      | ~ ( ssItem @ X1 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl42_005,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( neq @ sk__5 @ nil )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ sk__4 )
       != sk__5 )
      | ( ( cons @ X1 @ nil )
       != sk__4 )
      | ~ ( ssItem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl42]) ).

thf(zip_derived_cl65_006,plain,
    neq @ sk__5 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X0 @ sk__4 )
       != sk__5 )
      | ( ( cons @ X1 @ nil )
       != sk__4 )
      | ~ ( ssItem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl65]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i] :
      ( ( sk__5 != sk__5 )
      | ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__4 )
      | ~ ( ssList @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl66]) ).

thf(zip_derived_cl39,plain,
    ( ( neq @ sk__5 @ nil )
    | ( ssList @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( ssList @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_007,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( neq @ sk__5 @ nil )
    | ( ssList @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl42]) ).

thf(zip_derived_cl54,plain,
    ssList @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl48]) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i] :
      ( ( sk__5 != sk__5 )
      | ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl54]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i] :
      ( ( ( cons @ X0 @ nil )
       != sk__4 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl146]) ).

thf(zip_derived_cl148,plain,
    ( ( sk__4 != sk__4 )
    | ~ ( ssItem @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl147]) ).

thf(zip_derived_cl36,plain,
    ( ( neq @ sk__5 @ nil )
    | ( ssItem @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( ssItem @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_008,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ( ~ ( neq @ sk__5 @ nil )
    | ( ssItem @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl42]) ).

thf(zip_derived_cl53,plain,
    ssItem @ sk__8,
    inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl47]) ).

thf(zip_derived_cl149,plain,
    sk__4 != sk__4,
    inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl53]) ).

thf(zip_derived_cl150,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl149]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC096+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FDjRrVocwu true
% 0.12/0.35  % Computer : n007.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 17:08:53 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.54/0.73  % Total configuration time : 435
% 0.54/0.73  % Estimated wc time : 1092
% 0.54/0.73  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.88  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.90  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.92  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.93  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.93  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.95  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/1.00  % Solved by fo/fo7.sh.
% 0.54/1.00  % done 50 iterations in 0.040s
% 0.54/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/1.00  % SZS output start Refutation
% See solution above
% 0.54/1.00  
% 0.54/1.00  
% 0.54/1.00  % Terminating...
% 1.46/1.18  % Runner terminated.
% 1.53/1.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------