TSTP Solution File: SWC190+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC190+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.JI21z3H3O0 true

% Computer : n029.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 21:29:46 EDT 2023

% Result   : Theorem 17.96s 3.14s
% Output   : Refutation 17.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  110 (  41 unt;  13 typ;   0 def)
%            Number of atoms       :  262 (  67 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  851 ( 135   ~; 133   |;   6   &; 551   @)
%                                         (   1 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   83 (   0   ^;  79   !;   4   ?;  83   :)

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

thf(sk__53_type,type,
    sk__53: $i ).

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

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

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

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

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

thf(sk__54_type,type,
    sk__54: $i ).

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

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

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

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

thf(sk__55_type,type,
    sk__55: $i ).

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_cl82_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(ax81,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( cons @ V @ U )
            = ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

thf(zip_derived_cl82_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl82_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl171_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

thf(zip_derived_cl82_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

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(zip_derived_cl82_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ! [X3: $i] :
                      ( ( ssItem @ X3 )
                     => ? [X4: $i] :
                          ( ( memberP @ W @ X4 )
                          & ( X3 != X4 )
                          & ( ssItem @ X4 ) ) )
                  | ! [Y: $i] :
                      ( ( ssItem @ Y )
                     => ! [Z: $i] :
                          ( ( ssItem @ Z )
                         => ! [X1: $i] :
                              ( ( ssList @ X1 )
                             => ! [X2: $i] :
                                  ( ( Y = Z )
                                  | ( ( app @ ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ ( cons @ Z @ nil ) ) @ X2 )
                                   != U )
                                  | ~ ( ssList @ X2 ) ) ) ) )
                  | ( 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] :
                    ( ! [X3: $i] :
                        ( ( ssItem @ X3 )
                       => ? [X4: $i] :
                            ( ( memberP @ W @ X4 )
                            & ( X3 != X4 )
                            & ( ssItem @ X4 ) ) )
                    | ! [Y: $i] :
                        ( ( ssItem @ Y )
                       => ! [Z: $i] :
                            ( ( ssItem @ Z )
                           => ! [X1: $i] :
                                ( ( ssList @ X1 )
                               => ! [X2: $i] :
                                    ( ( Y = Z )
                                    | ( ( app @ ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ ( cons @ Z @ nil ) ) @ X2 )
                                     != U )
                                    | ~ ( ssList @ X2 ) ) ) ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl196,plain,
    ( ( app @ ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
    = sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl2851,plain,
    ( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) )
    | ~ ( ssList @ sk__54 )
    | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl172]) ).

thf(zip_derived_cl195,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2868,plain,
    ( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) )
    | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2851,zip_derived_cl195]) ).

thf(zip_derived_cl3066,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__52 )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) )
    | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl2868]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl194,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3067,plain,
    ( ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) )
    | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3066,zip_derived_cl83,zip_derived_cl194]) ).

thf(zip_derived_cl3757,plain,
    ( ~ ( ssList @ sk__53 )
    | ~ ( ssList @ ( cons @ sk__51 @ nil ) )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl3067]) ).

thf(zip_derived_cl198,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3759,plain,
    ( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3757,zip_derived_cl198]) ).

thf(zip_derived_cl3833,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__51 )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3759]) ).

thf(zip_derived_cl83_007,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl199,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3834,plain,
    ( sk__47
    = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3833,zip_derived_cl83,zip_derived_cl199]) ).

thf(zip_derived_cl3907,plain,
    ( ~ ( ssList @ sk__54 )
    | ~ ( ssItem @ sk__52 )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( cons @ sk__52 @ sk__54 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl3834]) ).

thf(zip_derived_cl195_008,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194_009,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3910,plain,
    ( sk__47
    = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( cons @ sk__52 @ sk__54 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3907,zip_derived_cl195,zip_derived_cl194]) ).

thf(zip_derived_cl172_010,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_cl4113,plain,
    ( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
    | ( sk__47
      = ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ sk__54 ) ) ) )
    | ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
    | ~ ( ssList @ sk__53 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3910,zip_derived_cl172]) ).

thf(zip_derived_cl198_011,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4149,plain,
    ( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
    | ( sk__47
      = ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ sk__54 ) ) ) )
    | ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4113,zip_derived_cl198]) ).

thf(zip_derived_cl4534,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__51 )
    | ( sk__47
      = ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ sk__54 ) ) ) )
    | ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4149]) ).

thf(zip_derived_cl83_012,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl199_013,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4535,plain,
    ( ( sk__47
      = ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ sk__54 ) ) ) )
    | ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4534,zip_derived_cl83,zip_derived_cl199]) ).

thf(zip_derived_cl5069,plain,
    ( ~ ( ssList @ sk__54 )
    | ~ ( ssItem @ sk__52 )
    | ( sk__47
      = ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ sk__54 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4535]) ).

thf(zip_derived_cl195_014,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194_015,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5070,plain,
    ( sk__47
    = ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ ( cons @ sk__52 @ sk__54 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5069,zip_derived_cl195,zip_derived_cl194]) ).

thf(zip_derived_cl5201,plain,
    ( ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
    | ~ ( ssItem @ sk__51 )
    | ( sk__47
      = ( app @ sk__53 @ ( cons @ sk__51 @ ( cons @ sk__52 @ sk__54 ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl5070]) ).

thf(zip_derived_cl199_016,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5202,plain,
    ( ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
    | ( sk__47
      = ( app @ sk__53 @ ( cons @ sk__51 @ ( cons @ sk__52 @ sk__54 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5201,zip_derived_cl199]) ).

thf(zip_derived_cl5377,plain,
    ( ~ ( ssList @ sk__54 )
    | ~ ( ssItem @ sk__52 )
    | ( sk__47
      = ( app @ sk__53 @ ( cons @ sk__51 @ ( cons @ sk__52 @ sk__54 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl5202]) ).

thf(zip_derived_cl195_017,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194_018,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5378,plain,
    ( sk__47
    = ( app @ sk__53 @ ( cons @ sk__51 @ ( cons @ sk__52 @ sk__54 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5377,zip_derived_cl195,zip_derived_cl194]) ).

thf(ax3,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( memberP @ U @ V )
          <=> ? [W: $i] :
                ( ? [X: $i] :
                    ( ( ( app @ W @ ( cons @ V @ X ) )
                      = U )
                    & ( ssList @ X ) )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X3 @ ( cons @ X0 @ X1 ) )
       != X2 )
      | ~ ( ssList @ X3 )
      | ( memberP @ X2 @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl5419,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ sk__51 )
      | ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
      | ( sk__47 != X0 )
      | ~ ( ssList @ sk__53 )
      | ( memberP @ X0 @ sk__51 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5378,zip_derived_cl8]) ).

thf(zip_derived_cl199_019,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198_020,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5480,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
      | ( sk__47 != X0 )
      | ( memberP @ X0 @ sk__51 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5419,zip_derived_cl199,zip_derived_cl198]) ).

thf(zip_derived_cl11647,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__54 )
      | ~ ( ssItem @ sk__52 )
      | ( sk__47 != X0 )
      | ( memberP @ X0 @ sk__51 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl5480]) ).

thf(zip_derived_cl195_021,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194_022,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11648,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ( memberP @ X0 @ sk__51 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11647,zip_derived_cl195,zip_derived_cl194]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__49 @ X0 )
      | ( sk__55 = X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1579,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__47 @ X0 )
      | ( sk__55 = X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl200]) ).

thf(zip_derived_cl82_023,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl95_024,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl3910_025,plain,
    ( sk__47
    = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ ( cons @ sk__52 @ sk__54 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3907,zip_derived_cl195,zip_derived_cl194]) ).

thf(zip_derived_cl8_026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X3 @ ( cons @ X0 @ X1 ) )
       != X2 )
      | ~ ( ssList @ X3 )
      | ( memberP @ X2 @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(zip_derived_cl4095,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ sk__52 )
      | ~ ( ssList @ sk__54 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) )
      | ( memberP @ X0 @ sk__52 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3910,zip_derived_cl8]) ).

thf(zip_derived_cl194_027,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195_028,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4131,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) )
      | ( memberP @ X0 @ sk__52 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4095,zip_derived_cl194,zip_derived_cl195]) ).

thf(zip_derived_cl4574,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__53 )
      | ~ ( ssList @ ( cons @ sk__51 @ nil ) )
      | ( sk__47 != X0 )
      | ( memberP @ X0 @ sk__52 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl4131]) ).

thf(zip_derived_cl198_029,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4576,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
      | ( sk__47 != X0 )
      | ( memberP @ X0 @ sk__52 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4574,zip_derived_cl198]) ).

thf(zip_derived_cl4578,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ~ ( ssItem @ sk__51 )
      | ( sk__47 != X0 )
      | ( memberP @ X0 @ sk__52 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4576]) ).

thf(zip_derived_cl83_030,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl199_031,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4579,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ( memberP @ X0 @ sk__52 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4578,zip_derived_cl83,zip_derived_cl199]) ).

thf(zip_derived_cl1579_032,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__47 @ X0 )
      | ( sk__55 = X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl200]) ).

thf(zip_derived_cl4584,plain,
    ( ~ ( ssList @ sk__47 )
    | ( sk__47 != sk__47 )
    | ( sk__55 = sk__52 )
    | ~ ( ssItem @ sk__52 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4579,zip_derived_cl1579]) ).

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

thf(zip_derived_cl194_033,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4590,plain,
    ( ( sk__47 != sk__47 )
    | ( sk__55 = sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4584,zip_derived_cl190,zip_derived_cl194]) ).

thf(zip_derived_cl4591,plain,
    sk__55 = sk__52,
    inference(simplify,[status(thm)],[zip_derived_cl4590]) ).

thf(zip_derived_cl4597,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__47 @ X0 )
      | ( sk__52 = X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1579,zip_derived_cl4591]) ).

thf(zip_derived_cl11656,plain,
    ( ~ ( ssList @ sk__47 )
    | ( sk__47 != sk__47 )
    | ( sk__52 = sk__51 )
    | ~ ( ssItem @ sk__51 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11648,zip_derived_cl4597]) ).

thf(zip_derived_cl190_034,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199_035,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11665,plain,
    ( ( sk__47 != sk__47 )
    | ( sk__52 = sk__51 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11656,zip_derived_cl190,zip_derived_cl199]) ).

thf(zip_derived_cl11666,plain,
    sk__52 = sk__51,
    inference(simplify,[status(thm)],[zip_derived_cl11665]) ).

thf(zip_derived_cl197,plain,
    sk__51 != sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11667,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl11666,zip_derived_cl197]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC190+1 : TPTP v8.1.2. 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.JI21z3H3O0 true
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 17:12:56 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34  % Number of cores: 8
% 0.20/0.34  % Python version: Python 3.6.8
% 0.20/0.34  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 17.96/3.14  % Solved by fo/fo6_bce.sh.
% 17.96/3.14  % BCE start: 204
% 17.96/3.14  % BCE eliminated: 6
% 17.96/3.14  % PE start: 198
% 17.96/3.14  logic: eq
% 17.96/3.14  % PE eliminated: 6
% 17.96/3.14  % done 1908 iterations in 2.436s
% 17.96/3.14  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.96/3.14  % SZS output start Refutation
% See solution above
% 17.96/3.15  
% 17.96/3.15  
% 17.96/3.15  % Terminating...
% 18.37/3.27  % Runner terminated.
% 18.37/3.27  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------