TSTP Solution File: SWC324+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC324+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ysguNGAxVg true

% Computer : n014.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 21:30:46 EDT 2023

% Result   : Theorem 9.90s 2.05s
% Output   : Refutation 9.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  102 (  28 unt;  11 typ;   0 def)
%            Number of atoms       :  267 ( 132 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  760 ( 161   ~; 139   |;  15   &; 423   @)
%                                         (   1 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   74 (   0   ^;  66   !;   8   ?;  74   :)

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

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

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

thf(hd_type,type,
    hd: $i > $i ).

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

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

thf(tl_type,type,
    tl: $i > $i ).

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

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

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

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

thf(ax78,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( nil != U )
       => ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
          = U ) ) ) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(ax24,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( nil != U )
       => ( ssList @ ( tl @ U ) ) ) ) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssList @ ( tl @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax24]) ).

thf(ax22,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( nil != U )
       => ( ssItem @ ( hd @ U ) ) ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(ax28,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ nil @ U )
        = U ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(ax27,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssItem @ W )
             => ( ( cons @ W @ ( app @ V @ U ) )
                = ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
        = ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax27]) ).

thf(zip_derived_cl1977,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ nil )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ nil ) @ X0 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl96]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl83,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1984,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ nil ) @ X0 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1977,zip_derived_cl83]) ).

thf(zip_derived_cl1985,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ nil ) @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1984]) ).

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

thf(zip_derived_cl195,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( ssList @ X2 )
      | ( ( app @ X2 @ ( cons @ X3 @ nil ) )
        = sk__49 )
      | ( ( app @ ( cons @ X3 @ nil ) @ X2 )
       != sk__50 )
      | ~ ( ssItem @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3108,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( ssList @ X2 )
      | ( ( app @ X2 @ ( cons @ X3 @ nil ) )
        = sk__47 )
      | ( ( app @ ( cons @ X3 @ nil ) @ X2 )
       != sk__48 )
      | ~ ( ssItem @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl193,zip_derived_cl196]) ).

thf(zip_derived_cl3112,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ ( cons @ X1 @ nil ) )
        = sk__47 )
      | ( ( cons @ X1 @ X0 )
       != sk__48 )
      | ~ ( ssItem @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1985,zip_derived_cl3108]) ).

thf(zip_derived_cl3115,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ X0 )
       != sk__48 )
      | ( ( app @ X0 @ ( cons @ X1 @ nil ) )
        = sk__47 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3112]) ).

thf(zip_derived_cl91_001,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(ax16,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ssList @ ( cons @ V @ U ) ) ) ) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl168_002,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(zip_derived_cl1985_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ nil ) @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1984]) ).

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

thf(zip_derived_cl2380,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( cons @ X1 @ X0 )
       != sk__48 )
      | ( ( app @ X0 @ ( cons @ X1 @ nil ) )
       != sk__47 )
      | ~ ( ssList @ ( cons @ X1 @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1985,zip_derived_cl192]) ).

thf(zip_derived_cl2416,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ ( cons @ X1 @ nil ) )
      | ( ( app @ X0 @ ( cons @ X1 @ nil ) )
       != sk__47 )
      | ( ( cons @ X1 @ X0 )
       != sk__48 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2380]) ).

thf(zip_derived_cl4977,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ ( cons @ ( hd @ X0 ) @ nil ) )
      | ( ( app @ ( tl @ X0 ) @ ( cons @ ( hd @ X0 ) @ nil ) )
       != sk__47 )
      | ( X0 != sk__48 )
      | ~ ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ ( tl @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl2416]) ).

thf(zip_derived_cl91_004,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl5472,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( tl @ X0 ) )
      | ( X0 != sk__48 )
      | ( ( app @ ( tl @ X0 ) @ ( cons @ ( hd @ X0 ) @ nil ) )
       != sk__47 )
      | ~ ( ssList @ ( cons @ ( hd @ X0 ) @ nil ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4977,zip_derived_cl91]) ).

thf(zip_derived_cl93_005,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssList @ ( tl @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax24]) ).

thf(zip_derived_cl5473,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ ( cons @ ( hd @ X0 ) @ nil ) )
      | ( ( app @ ( tl @ X0 ) @ ( cons @ ( hd @ X0 ) @ nil ) )
       != sk__47 )
      | ( X0 != sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5472,zip_derived_cl93]) ).

thf(zip_derived_cl5474,plain,
    ( ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
     != sk__47 )
    | ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
    | ( nil = sk__48 )
    | ~ ( ssList @ sk__48 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5473]) ).

thf(zip_derived_cl197,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_006,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1498,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl5475,plain,
    ( ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
     != sk__47 )
    | ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5474,zip_derived_cl1498]) ).

thf(ax83,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( nil
              = ( app @ U @ V ) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ) ).

thf(zip_derived_cl175,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil != X0 )
      | ( nil != X1 )
      | ( nil
        = ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl192_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X1 @ X0 )
       != sk__48 )
      | ( ( app @ X0 @ X1 )
       != sk__47 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1678,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ nil )
      | ( X0 != sk__48 )
      | ( ( app @ nil @ X0 )
       != sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl192]) ).

thf(zip_derived_cl83_008,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1686,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( X0 != sk__48 )
      | ( ( app @ nil @ X0 )
       != sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl83]) ).

thf(zip_derived_cl1687,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
       != sk__47 )
      | ( X0 != sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1686]) ).

thf(zip_derived_cl1692,plain,
    ( ~ ( ssList @ sk__48 )
    | ( ( app @ nil @ sk__48 )
     != sk__47 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1687]) ).

thf(zip_derived_cl1498_009,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl1693,plain,
    ( ( app @ nil @ sk__48 )
   != sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl1692,zip_derived_cl1498]) ).

thf(zip_derived_cl1694,plain,
    ( ~ ( ssList @ nil )
    | ( nil != nil )
    | ( nil != sk__48 )
    | ~ ( ssList @ sk__48 )
    | ( nil != sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl1693]) ).

thf(zip_derived_cl83_010,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1498_011,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl1696,plain,
    ( ( nil != nil )
    | ( nil != sk__48 )
    | ( nil != sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1694,zip_derived_cl83,zip_derived_cl1498]) ).

thf(zip_derived_cl1697,plain,
    ( ( nil != sk__47 )
    | ( nil != sk__48 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1696]) ).

thf(zip_derived_cl194,plain,
    ( ( nil != sk__50 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193_012,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1495,plain,
    ( ( nil != sk__50 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl193]) ).

thf(zip_derived_cl196_013,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1496,plain,
    ( ( nil != sk__48 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1495,zip_derived_cl196]) ).

thf(zip_derived_cl1719,plain,
    nil != sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1697,zip_derived_cl1496]) ).

thf(zip_derived_cl5476,plain,
    ( ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
     != sk__47 )
    | ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5475,zip_derived_cl1719]) ).

thf(zip_derived_cl6036,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ ( hd @ sk__48 ) )
    | ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
     != sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl5476]) ).

thf(zip_derived_cl83_014,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl6037,plain,
    ( ~ ( ssItem @ ( hd @ sk__48 ) )
    | ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
     != sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6036,zip_derived_cl83]) ).

thf(zip_derived_cl6102,plain,
    ( ~ ( ssList @ sk__48 )
    | ( nil = sk__48 )
    | ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
     != sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl6037]) ).

thf(zip_derived_cl1498_015,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl6103,plain,
    ( ( nil = sk__48 )
    | ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
     != sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6102,zip_derived_cl1498]) ).

thf(zip_derived_cl1719_016,plain,
    nil != sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1697,zip_derived_cl1496]) ).

thf(zip_derived_cl6104,plain,
    ( ( app @ ( tl @ sk__48 ) @ ( cons @ ( hd @ sk__48 ) @ nil ) )
   != sk__47 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6103,zip_derived_cl1719]) ).

thf(zip_derived_cl6346,plain,
    ( ~ ( ssList @ ( tl @ sk__48 ) )
    | ~ ( ssItem @ ( hd @ sk__48 ) )
    | ( ( cons @ ( hd @ sk__48 ) @ ( tl @ sk__48 ) )
     != sk__48 )
    | ( sk__47 != sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3115,zip_derived_cl6104]) ).

thf(zip_derived_cl6347,plain,
    ( ( ( cons @ ( hd @ sk__48 ) @ ( tl @ sk__48 ) )
     != sk__48 )
    | ~ ( ssItem @ ( hd @ sk__48 ) )
    | ~ ( ssList @ ( tl @ sk__48 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6346]) ).

thf(zip_derived_cl6423,plain,
    ( ~ ( ssList @ sk__48 )
    | ( nil = sk__48 )
    | ( ( cons @ ( hd @ sk__48 ) @ ( tl @ sk__48 ) )
     != sk__48 )
    | ~ ( ssList @ ( tl @ sk__48 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl6347]) ).

thf(zip_derived_cl1498_017,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl6424,plain,
    ( ( nil = sk__48 )
    | ( ( cons @ ( hd @ sk__48 ) @ ( tl @ sk__48 ) )
     != sk__48 )
    | ~ ( ssList @ ( tl @ sk__48 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6423,zip_derived_cl1498]) ).

thf(zip_derived_cl1719_018,plain,
    nil != sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1697,zip_derived_cl1496]) ).

thf(zip_derived_cl6425,plain,
    ( ( ( cons @ ( hd @ sk__48 ) @ ( tl @ sk__48 ) )
     != sk__48 )
    | ~ ( ssList @ ( tl @ sk__48 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6424,zip_derived_cl1719]) ).

thf(zip_derived_cl6434,plain,
    ( ~ ( ssList @ sk__48 )
    | ( nil = sk__48 )
    | ( ( cons @ ( hd @ sk__48 ) @ ( tl @ sk__48 ) )
     != sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl6425]) ).

thf(zip_derived_cl1498_019,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl6435,plain,
    ( ( nil = sk__48 )
    | ( ( cons @ ( hd @ sk__48 ) @ ( tl @ sk__48 ) )
     != sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6434,zip_derived_cl1498]) ).

thf(zip_derived_cl1719_020,plain,
    nil != sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1697,zip_derived_cl1496]) ).

thf(zip_derived_cl6436,plain,
    ( ( cons @ ( hd @ sk__48 ) @ ( tl @ sk__48 ) )
   != sk__48 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6435,zip_derived_cl1719]) ).

thf(zip_derived_cl6437,plain,
    ( ~ ( ssList @ sk__48 )
    | ( nil = sk__48 )
    | ( sk__48 != sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl6436]) ).

thf(zip_derived_cl1498_021,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl6438,plain,
    ( ( nil = sk__48 )
    | ( sk__48 != sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6437,zip_derived_cl1498]) ).

thf(zip_derived_cl6439,plain,
    nil = sk__48,
    inference(simplify,[status(thm)],[zip_derived_cl6438]) ).

thf(zip_derived_cl1719_022,plain,
    nil != sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1697,zip_derived_cl1496]) ).

thf(zip_derived_cl6440,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6439,zip_derived_cl1719]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC324+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ysguNGAxVg true
% 0.14/0.35  % Computer : n014.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 : Mon Aug 28 18:57:46 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /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
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.90/2.05  % Solved by fo/fo6_bce.sh.
% 9.90/2.05  % BCE start: 199
% 9.90/2.05  % BCE eliminated: 6
% 9.90/2.05  % PE start: 193
% 9.90/2.05  logic: eq
% 9.90/2.05  % PE eliminated: 6
% 9.90/2.05  % done 736 iterations in 1.276s
% 9.90/2.05  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.90/2.05  % SZS output start Refutation
% See solution above
% 9.90/2.05  
% 9.90/2.05  
% 9.90/2.05  % Terminating...
% 10.23/2.17  % Runner terminated.
% 10.23/2.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------