TSTP Solution File: SWC045+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC045+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.sRkLxNBNH3 true

% Computer : n003.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 21:28:44 EDT 2023

% Result   : Theorem 93.51s 14.03s
% Output   : Refutation 93.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  115 (  25 unt;  15 typ;   0 def)
%            Number of atoms       :  306 (  74 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives : 1039 ( 165   ~; 164   |;  10   &; 668   @)
%                                         (   2 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :   92 (   0   ^;  86   !;   6   ?;  92   :)

% 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__49_type,type,
    sk__49: $i ).

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

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

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

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

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

thf(sk__44_type,type,
    sk__44: $i > $i ).

thf(sk__43_type,type,
    sk__43: $i > $i ).

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

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

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

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(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(ax20,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( nil = U )
        | ? [V: $i] :
            ( ? [W: $i] :
                ( ( ( cons @ W @ V )
                  = U )
                & ( ssItem @ W ) )
            & ( ssList @ V ) ) ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( sk__44 @ X0 ) @ ( sk__43 @ X0 ) )
        = X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(ax23,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( hd @ ( cons @ V @ U ) )
            = V ) ) ) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( hd @ ( cons @ X0 @ X1 ) )
        = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax23]) ).

thf(zip_derived_cl1924,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ~ ( ssItem @ ( sk__44 @ X0 ) )
      | ( ( hd @ X0 )
        = ( sk__44 @ X0 ) )
      | ~ ( ssList @ ( sk__43 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl92]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__44 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl2030,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__43 @ X0 ) )
      | ( ( hd @ X0 )
        = ( sk__44 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1924,zip_derived_cl87]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__43 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl2031,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ( ( hd @ X0 )
        = ( sk__44 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2030,zip_derived_cl89]) ).

thf(zip_derived_cl88_001,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( sk__44 @ X0 ) @ ( sk__43 @ X0 ) )
        = X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl2033,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( ( cons @ ( hd @ X0 ) @ ( sk__43 @ X0 ) )
        = X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2031,zip_derived_cl88]) ).

thf(zip_derived_cl2035,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( hd @ X0 ) @ ( sk__43 @ X0 ) )
        = X0 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2033]) ).

thf(ax37,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( cons @ V @ W ) @ U )
              <=> ( ( U = V )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssItem @ X0 )
      | ( X1 != X0 )
      | ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax37]) ).

thf(zip_derived_cl2098,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl2099,plain,
    ! [X0: $i,X1: $i] :
      ( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2098]) ).

thf(zip_derived_cl13106,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( memberP @ X0 @ ( hd @ X0 ) )
      | ~ ( ssList @ ( sk__43 @ X0 ) )
      | ~ ( ssItem @ ( hd @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2035,zip_derived_cl2099]) ).

thf(zip_derived_cl89_002,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__43 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(zip_derived_cl36732,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( hd @ X0 ) )
      | ( memberP @ X0 @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 )
      | ( nil = X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl13106,zip_derived_cl89]) ).

thf(zip_derived_cl91_003,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl36733,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( memberP @ X0 @ ( hd @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl36732,zip_derived_cl91]) ).

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

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

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

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__51 @ X0 ) )
      | ~ ( memberP @ sk__49 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    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_cl1691,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__51 @ X0 ) )
      | ~ ( memberP @ sk__47 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl193]) ).

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_cl91_005,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

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

thf(zip_derived_cl91_007,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl36733_008,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ( memberP @ X0 @ ( hd @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl36732,zip_derived_cl91]) ).

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(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_cl196,plain,
    ! [X0: $i] :
      ( ( segmentP @ sk__50 @ ( app @ ( app @ ( cons @ X0 @ nil ) @ ( sk__51 @ X0 ) ) @ ( cons @ X0 @ nil ) ) )
      | ~ ( memberP @ sk__49 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    nil = sk__48,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1509,plain,
    nil = sk__50,
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl194]) ).

thf(zip_derived_cl193_009,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2960,plain,
    ! [X0: $i] :
      ( ( segmentP @ nil @ ( app @ ( app @ ( cons @ X0 @ nil ) @ ( sk__51 @ X0 ) ) @ ( cons @ X0 @ nil ) ) )
      | ~ ( memberP @ sk__47 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl1509,zip_derived_cl193]) ).

thf(zip_derived_cl2967,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( cons @ X0 @ nil ) )
      | ~ ( ssList @ ( cons @ X0 @ nil ) )
      | ~ ( ssList @ ( sk__51 @ X0 ) )
      | ( segmentP @ nil @ ( app @ ( cons @ X0 @ nil ) @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) )
      | ~ ( memberP @ sk__47 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl2960]) ).

thf(zip_derived_cl2970,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__47 @ X0 )
      | ( segmentP @ nil @ ( app @ ( cons @ X0 @ nil ) @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) )
      | ~ ( ssList @ ( sk__51 @ X0 ) )
      | ~ ( ssList @ ( cons @ X0 @ nil ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2967]) ).

thf(zip_derived_cl1691_010,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__51 @ X0 ) )
      | ~ ( memberP @ sk__47 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl193]) ).

thf(zip_derived_cl5279,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( cons @ X0 @ nil ) )
      | ( segmentP @ nil @ ( app @ ( cons @ X0 @ nil ) @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) )
      | ~ ( memberP @ sk__47 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2970,zip_derived_cl1691]) ).

thf(zip_derived_cl5285,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ ( cons @ X0 @ nil ) )
      | ( segmentP @ nil @ ( cons @ X0 @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) )
      | ~ ( memberP @ sk__47 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl5279]) ).

thf(zip_derived_cl5292,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__47 @ X0 )
      | ( segmentP @ nil @ ( cons @ X0 @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) )
      | ~ ( ssList @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5285]) ).

thf(ax58,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( segmentP @ nil @ U )
      <=> ( nil = U ) ) ) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ nil @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax58]) ).

thf(zip_derived_cl6988,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ ( cons @ X0 @ nil ) )
      | ~ ( memberP @ sk__47 @ X0 )
      | ( nil
        = ( cons @ X0 @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) )
      | ~ ( ssList @ ( cons @ X0 @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5292,zip_derived_cl138]) ).

thf(ax21,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( nil
           != ( cons @ V @ U ) ) ) ) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( nil
       != ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax21]) ).

thf(zip_derived_cl14967,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( cons @ X0 @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) )
      | ~ ( memberP @ sk__47 @ X0 )
      | ~ ( ssList @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6988,zip_derived_cl90]) ).

thf(zip_derived_cl82_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl14968,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( app @ ( sk__51 @ X0 ) @ ( cons @ X0 @ nil ) ) )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ ( cons @ X0 @ nil ) )
      | ~ ( memberP @ sk__47 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl14967,zip_derived_cl82]) ).

thf(zip_derived_cl36769,plain,
    ( ~ ( ssList @ sk__47 )
    | ( nil = sk__47 )
    | ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) )
    | ~ ( ssItem @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36733,zip_derived_cl14968]) ).

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

thf(zip_derived_cl36829,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) )
    | ~ ( ssItem @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl36769,zip_derived_cl190]) ).

thf(zip_derived_cl192,plain,
    nil != sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36830,plain,
    ( ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) )
    | ~ ( ssItem @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl36829,zip_derived_cl192]) ).

thf(zip_derived_cl36836,plain,
    ( ~ ( ssList @ sk__47 )
    | ( nil = sk__47 )
    | ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl36830]) ).

thf(zip_derived_cl190_012,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36837,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl36836,zip_derived_cl190]) ).

thf(zip_derived_cl192_013,plain,
    nil != sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36838,plain,
    ( ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl36837,zip_derived_cl192]) ).

thf(zip_derived_cl36841,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl36838]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl36842,plain,
    ( ~ ( ssItem @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl36841,zip_derived_cl83]) ).

thf(zip_derived_cl36843,plain,
    ( ~ ( ssList @ sk__47 )
    | ( nil = sk__47 )
    | ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl36842]) ).

thf(zip_derived_cl190_014,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36844,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl36843,zip_derived_cl190]) ).

thf(zip_derived_cl192_015,plain,
    nil != sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36845,plain,
    ~ ( ssList @ ( app @ ( sk__51 @ ( hd @ sk__47 ) ) @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl36844,zip_derived_cl192]) ).

thf(zip_derived_cl36861,plain,
    ( ~ ( ssList @ ( sk__51 @ ( hd @ sk__47 ) ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl36845]) ).

thf(zip_derived_cl36958,plain,
    ( ~ ( ssItem @ ( hd @ sk__47 ) )
    | ~ ( memberP @ sk__47 @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1691,zip_derived_cl36861]) ).

thf(zip_derived_cl36962,plain,
    ( ~ ( ssList @ sk__47 )
    | ( nil = sk__47 )
    | ~ ( memberP @ sk__47 @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl36958]) ).

thf(zip_derived_cl190_016,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36963,plain,
    ( ( nil = sk__47 )
    | ~ ( memberP @ sk__47 @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl36962,zip_derived_cl190]) ).

thf(zip_derived_cl192_017,plain,
    nil != sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36964,plain,
    ( ~ ( memberP @ sk__47 @ ( hd @ sk__47 ) )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl36963,zip_derived_cl192]) ).

thf(zip_derived_cl36966,plain,
    ( ~ ( ssList @ sk__47 )
    | ( nil = sk__47 )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36733,zip_derived_cl36964]) ).

thf(zip_derived_cl190_018,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36969,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl36966,zip_derived_cl190]) ).

thf(zip_derived_cl192_019,plain,
    nil != sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36970,plain,
    ~ ( ssList @ ( cons @ ( hd @ sk__47 ) @ nil ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl36969,zip_derived_cl192]) ).

thf(zip_derived_cl36986,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ ( hd @ sk__47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl36970]) ).

thf(zip_derived_cl83_020,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl36987,plain,
    ~ ( ssItem @ ( hd @ sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl36986,zip_derived_cl83]) ).

thf(zip_derived_cl36988,plain,
    ( ~ ( ssList @ sk__47 )
    | ( nil = sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl36987]) ).

thf(zip_derived_cl190_021,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36989,plain,
    nil = sk__47,
    inference(demod,[status(thm)],[zip_derived_cl36988,zip_derived_cl190]) ).

thf(zip_derived_cl192_022,plain,
    nil != sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36990,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl36989,zip_derived_cl192]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17  % Problem  : SWC045+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.18  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sRkLxNBNH3 true
% 0.13/0.39  % Computer : n003.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8042.1875MB
% 0.13/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Aug 28 17:14:25 EDT 2023
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  % Running portfolio for 300 s
% 0.13/0.39  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39  % Number of cores: 8
% 0.13/0.39  % Python version: Python 3.6.8
% 0.13/0.40  % Running in FO mode
% 0.36/0.67  % Total configuration time : 435
% 0.36/0.67  % Estimated wc time : 1092
% 0.36/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 93.51/14.03  % Solved by fo/fo6_bce.sh.
% 93.51/14.03  % BCE start: 201
% 93.51/14.03  % BCE eliminated: 6
% 93.51/14.03  % PE start: 195
% 93.51/14.03  logic: eq
% 93.51/14.03  % PE eliminated: 6
% 93.51/14.03  % done 5927 iterations in 13.268s
% 93.51/14.03  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 93.51/14.03  % SZS output start Refutation
% See solution above
% 93.94/14.03  
% 93.94/14.03  
% 93.94/14.03  % Terminating...
% 94.12/14.11  % Runner terminated.
% 94.12/14.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------