TSTP Solution File: SWC022+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC022+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CsSyHeO25e true

% Computer : n019.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 21:28:34 EDT 2023

% Result   : Theorem 2.95s 1.45s
% Output   : Refutation 2.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  181 (  64 unt;  13 typ;   0 def)
%            Number of atoms       :  467 ( 171 equ;   0 cnn)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives : 1184 ( 243   ~; 244   |;  19   &; 642   @)
%                                         (   2 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :  132 (   0   ^; 125   !;   7   ?; 132   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
    frontsegP: $i > $i > $o ).

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

thf(sk__20_type,type,
    sk__20: $i ).

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

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

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

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

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

thf(sk__17_type,type,
    sk__17: $i ).

thf(sk__19_type,type,
    sk__19: $i ).

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

thf(sk__18_type,type,
    sk__18: $i ).

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

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

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssList @ ( tl @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax24]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

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

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

thf(zip_derived_cl101,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( frontsegP @ sk__18 @ X0 )
      | ~ ( frontsegP @ sk__17 @ X0 )
      | ~ ( neq @ sk__20 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98,plain,
    ( ( neq @ sk__18 @ nil )
    | ( neq @ sk__18 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl795,plain,
    neq @ sk__18 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl901,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( frontsegP @ sk__18 @ X0 )
      | ~ ( frontsegP @ sk__17 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl104,zip_derived_cl795]) ).

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

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl25_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl103,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( sk__19 = X1 )
      | ~ ( neq @ nil @ sk__20 )
      | ( ( hd @ sk__20 )
       != X2 )
      | ( ( cons @ X2 @ nil )
       != X1 )
      | ~ ( ssItem @ X2 )
      | ~ ( neq @ sk__20 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104_002,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104_003,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104_004,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl795_005,plain,
    neq @ sk__18 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl2646,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( sk__17 = X1 )
      | ~ ( neq @ nil @ sk__18 )
      | ( ( hd @ sk__18 )
       != X2 )
      | ( ( cons @ X2 @ nil )
       != X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl97,zip_derived_cl104,zip_derived_cl104,zip_derived_cl104,zip_derived_cl795]) ).

thf(zip_derived_cl2647,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( neq @ nil @ sk__18 )
      | ( sk__17
        = ( cons @ X0 @ nil ) )
      | ~ ( ssList @ ( cons @ X0 @ nil ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2646]) ).

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

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

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_cl40,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_cl1208,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ X0 ) @ nil ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl40]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl27,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1215,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ X0 ) @ nil ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1208,zip_derived_cl27]) ).

thf(zip_derived_cl1216,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ X0 ) @ nil ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1215]) ).

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

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

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

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl862,plain,
    ! [X0: $i,X1: $i] :
      ( ( ssList @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl26]) ).

thf(zip_derived_cl869,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 )
      | ( ssList @ ( app @ ( cons @ X1 @ nil ) @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl862]) ).

thf(zip_derived_cl2320,plain,
    ! [X0: $i] :
      ( ( ssList @ ( cons @ X0 @ nil ) )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1216,zip_derived_cl869]) ).

thf(zip_derived_cl27_006,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl27_007,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl2364,plain,
    ! [X0: $i] :
      ( ( ssList @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2320,zip_derived_cl27,zip_derived_cl27]) ).

thf(zip_derived_cl2365,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ nil ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2364]) ).

thf(zip_derived_cl3490,plain,
    ! [X0: $i] :
      ( ( sk__17
        = ( cons @ X0 @ nil ) )
      | ~ ( neq @ nil @ sk__18 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2647,zip_derived_cl2365]) ).

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

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( hd @ ( cons @ X0 @ X1 ) )
        = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax23]) ).

thf(zip_derived_cl3500,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__17 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( neq @ nil @ sk__18 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3490,zip_derived_cl36]) ).

thf(zip_derived_cl27_008,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl3570,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__17 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( neq @ nil @ sk__18 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3500,zip_derived_cl27]) ).

thf(zip_derived_cl3571,plain,
    ! [X0: $i] :
      ( ~ ( neq @ nil @ sk__18 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__17 )
        = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3570]) ).

thf(zip_derived_cl3720,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__18 )
      | ~ ( ssList @ sk__18 )
      | ( ( hd @ sk__17 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl3571]) ).

thf(zip_derived_cl27_009,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl105,plain,
    ssList @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104_010,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl771,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl3722,plain,
    ! [X0: $i] :
      ( ( nil = sk__18 )
      | ( ( hd @ sk__17 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3720,zip_derived_cl27,zip_derived_cl771]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl795_011,plain,
    neq @ sk__18 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl799,plain,
    ( ~ ( ssList @ sk__18 )
    | ( sk__18 != nil )
    | ~ ( ssList @ nil ) ),
    inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl795]) ).

thf(zip_derived_cl771_012,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl27_013,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl801,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl771,zip_derived_cl27]) ).

thf(zip_derived_cl3723,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__17 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3722,zip_derived_cl801]) ).

thf(zip_derived_cl3724,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ( ( hd @ sk__18 )
       != ( hd @ X0 ) )
      | ( ( hd @ sk__17 )
        = ( hd @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl3723]) ).

thf(zip_derived_cl3743,plain,
    ( ( ( hd @ sk__17 )
      = ( hd @ sk__18 ) )
    | ( nil = sk__18 )
    | ~ ( ssList @ sk__18 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3724]) ).

thf(zip_derived_cl771_014,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl3744,plain,
    ( ( ( hd @ sk__17 )
      = ( hd @ sk__18 ) )
    | ( nil = sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3743,zip_derived_cl771]) ).

thf(zip_derived_cl801_015,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl771,zip_derived_cl27]) ).

thf(zip_derived_cl3745,plain,
    ( ( hd @ sk__17 )
    = ( hd @ sk__18 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3744,zip_derived_cl801]) ).

thf(zip_derived_cl81_016,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

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

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(zip_derived_cl951,plain,
    ! [X0: $i] :
      ( ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
        = X0 )
      | ~ ( ssList @ ( tl @ X0 ) )
      | ~ ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 )
      | ( nil = X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl78]) ).

thf(zip_derived_cl37_017,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssList @ ( tl @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax24]) ).

thf(zip_derived_cl4237,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ ( hd @ X0 ) )
      | ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
        = X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl951,zip_derived_cl37]) ).

thf(zip_derived_cl35_018,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl4238,plain,
    ! [X0: $i] :
      ( ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
        = X0 )
      | ~ ( ssList @ X0 )
      | ( nil = X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4237,zip_derived_cl35]) ).

thf(zip_derived_cl4278,plain,
    ( ( ( app @ ( cons @ ( hd @ sk__17 ) @ nil ) @ ( tl @ sk__18 ) )
      = sk__18 )
    | ( nil = sk__18 )
    | ~ ( ssList @ sk__18 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3745,zip_derived_cl4238]) ).

thf(zip_derived_cl771_019,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl4279,plain,
    ( ( ( app @ ( cons @ ( hd @ sk__17 ) @ nil ) @ ( tl @ sk__18 ) )
      = sk__18 )
    | ( nil = sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4278,zip_derived_cl771]) ).

thf(zip_derived_cl801_020,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl771,zip_derived_cl27]) ).

thf(zip_derived_cl4280,plain,
    ( ( app @ ( cons @ ( hd @ sk__17 ) @ nil ) @ ( tl @ sk__18 ) )
    = sk__18 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4279,zip_derived_cl801]) ).

thf(zip_derived_cl3745_021,plain,
    ( ( hd @ sk__17 )
    = ( hd @ sk__18 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3744,zip_derived_cl801]) ).

thf(zip_derived_cl35_022,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl3801,plain,
    ( ( ssItem @ ( hd @ sk__17 ) )
    | ~ ( ssList @ sk__18 )
    | ( nil = sk__18 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3745,zip_derived_cl35]) ).

thf(zip_derived_cl771_023,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl3808,plain,
    ( ( ssItem @ ( hd @ sk__17 ) )
    | ( nil = sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3801,zip_derived_cl771]) ).

thf(zip_derived_cl801_024,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl771,zip_derived_cl27]) ).

thf(zip_derived_cl3809,plain,
    ssItem @ ( hd @ sk__17 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3808,zip_derived_cl801]) ).

thf(zip_derived_cl25_025,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl3490_026,plain,
    ! [X0: $i] :
      ( ( sk__17
        = ( cons @ X0 @ nil ) )
      | ~ ( neq @ nil @ sk__18 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2647,zip_derived_cl2365]) ).

thf(ax25,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( tl @ ( cons @ V @ U ) )
            = U ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( tl @ ( cons @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax25]) ).

thf(zip_derived_cl3501,plain,
    ! [X0: $i] :
      ( ( ( tl @ sk__17 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( neq @ nil @ sk__18 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3490,zip_derived_cl38]) ).

thf(zip_derived_cl27_027,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl3572,plain,
    ! [X0: $i] :
      ( ( ( tl @ sk__17 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( neq @ nil @ sk__18 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3501,zip_derived_cl27]) ).

thf(zip_derived_cl3573,plain,
    ! [X0: $i] :
      ( ~ ( neq @ nil @ sk__18 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( ssItem @ X0 )
      | ( ( tl @ sk__17 )
        = nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3572]) ).

thf(zip_derived_cl3745_028,plain,
    ( ( hd @ sk__17 )
    = ( hd @ sk__18 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3744,zip_derived_cl801]) ).

thf(zip_derived_cl4231,plain,
    ! [X0: $i] :
      ( ~ ( neq @ nil @ sk__18 )
      | ( ( hd @ sk__17 )
       != X0 )
      | ~ ( ssItem @ X0 )
      | ( ( tl @ sk__17 )
        = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl3573,zip_derived_cl3745]) ).

thf(zip_derived_cl4233,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__18 )
      | ~ ( ssList @ sk__18 )
      | ( ( tl @ sk__17 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__17 )
       != X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl4231]) ).

thf(zip_derived_cl27_029,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl771_030,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl4235,plain,
    ! [X0: $i] :
      ( ( nil = sk__18 )
      | ( ( tl @ sk__17 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__17 )
       != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4233,zip_derived_cl27,zip_derived_cl771]) ).

thf(zip_derived_cl801_031,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl771,zip_derived_cl27]) ).

thf(zip_derived_cl4236,plain,
    ! [X0: $i] :
      ( ( ( tl @ sk__17 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__17 )
       != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4235,zip_derived_cl801]) ).

thf(zip_derived_cl4289,plain,
    ( ( ( hd @ sk__17 )
     != ( hd @ sk__17 ) )
    | ( ( tl @ sk__17 )
      = nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3809,zip_derived_cl4236]) ).

thf(zip_derived_cl4298,plain,
    ( ( tl @ sk__17 )
    = nil ),
    inference(simplify,[status(thm)],[zip_derived_cl4289]) ).

thf(zip_derived_cl78_032,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(zip_derived_cl4301,plain,
    ( ( ( cons @ ( hd @ sk__17 ) @ nil )
      = sk__17 )
    | ~ ( ssList @ sk__17 )
    | ( nil = sk__17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4298,zip_derived_cl78]) ).

thf(zip_derived_cl95,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4311,plain,
    ( ( ( cons @ ( hd @ sk__17 ) @ nil )
      = sk__17 )
    | ( nil = sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4301,zip_derived_cl95]) ).

thf(zip_derived_cl35_033,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl25_034,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl3490_035,plain,
    ! [X0: $i] :
      ( ( sk__17
        = ( cons @ X0 @ nil ) )
      | ~ ( neq @ nil @ sk__18 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2647,zip_derived_cl2365]) ).

thf(ax18,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( cons @ V @ U )
           != U ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
       != X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax18]) ).

thf(zip_derived_cl3498,plain,
    ! [X0: $i] :
      ( ( sk__17 != nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( neq @ nil @ sk__18 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3490,zip_derived_cl28]) ).

thf(zip_derived_cl27_036,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl3566,plain,
    ! [X0: $i] :
      ( ( sk__17 != nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( neq @ nil @ sk__18 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3498,zip_derived_cl27]) ).

thf(zip_derived_cl3567,plain,
    ! [X0: $i] :
      ( ~ ( neq @ nil @ sk__18 )
      | ( ( hd @ sk__18 )
       != X0 )
      | ~ ( ssItem @ X0 )
      | ( sk__17 != nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3566]) ).

thf(zip_derived_cl3652,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__18 )
      | ~ ( ssList @ sk__18 )
      | ( sk__17 != nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl3567]) ).

thf(zip_derived_cl27_037,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl771_038,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl3654,plain,
    ! [X0: $i] :
      ( ( nil = sk__18 )
      | ( sk__17 != nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3652,zip_derived_cl27,zip_derived_cl771]) ).

thf(zip_derived_cl801_039,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl771,zip_derived_cl27]) ).

thf(zip_derived_cl3655,plain,
    ! [X0: $i] :
      ( ( sk__17 != nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3654,zip_derived_cl801]) ).

thf(zip_derived_cl3656,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ( ( hd @ sk__18 )
       != ( hd @ X0 ) )
      | ( sk__17 != nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl3655]) ).

thf(zip_derived_cl3709,plain,
    ( ( sk__17 != nil )
    | ( nil = sk__18 )
    | ~ ( ssList @ sk__18 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3656]) ).

thf(zip_derived_cl771_040,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl3710,plain,
    ( ( sk__17 != nil )
    | ( nil = sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3709,zip_derived_cl771]) ).

thf(zip_derived_cl801_041,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl771,zip_derived_cl27]) ).

thf(zip_derived_cl3711,plain,
    sk__17 != nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3710,zip_derived_cl801]) ).

thf(zip_derived_cl4312,plain,
    ( ( cons @ ( hd @ sk__17 ) @ nil )
    = sk__17 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4311,zip_derived_cl3711]) ).

thf(zip_derived_cl5412,plain,
    ( ( app @ sk__17 @ ( tl @ sk__18 ) )
    = sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl4280,zip_derived_cl4312]) ).

thf(ax5,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( frontsegP @ U @ V )
          <=> ? [W: $i] :
                ( ( ( app @ V @ W )
                  = U )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ( frontsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl819,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ ( app @ X1 @ X0 ) )
      | ( frontsegP @ ( app @ X1 @ X0 ) @ X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl7]) ).

thf(ax26,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ssList @ ( app @ U @ V ) ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl2821,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( frontsegP @ ( app @ X1 @ X0 ) @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl819,zip_derived_cl39]) ).

thf(zip_derived_cl5426,plain,
    ( ( frontsegP @ sk__18 @ sk__17 )
    | ~ ( ssList @ ( tl @ sk__18 ) )
    | ~ ( ssList @ sk__17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5412,zip_derived_cl2821]) ).

thf(zip_derived_cl95_042,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5466,plain,
    ( ( frontsegP @ sk__18 @ sk__17 )
    | ~ ( ssList @ ( tl @ sk__18 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5426,zip_derived_cl95]) ).

thf(zip_derived_cl5549,plain,
    ( ~ ( frontsegP @ sk__17 @ sk__17 )
    | ~ ( neq @ sk__17 @ nil )
    | ~ ( ssList @ sk__17 )
    | ~ ( ssList @ ( tl @ sk__18 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl5466]) ).

thf(zip_derived_cl4312_043,plain,
    ( ( cons @ ( hd @ sk__17 ) @ nil )
    = sk__17 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4311,zip_derived_cl3711]) ).

thf(zip_derived_cl1216_044,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ X0 ) @ nil ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1215]) ).

thf(zip_derived_cl4361,plain,
    ( ( ( cons @ ( hd @ sk__17 ) @ nil )
      = ( app @ sk__17 @ nil ) )
    | ~ ( ssList @ nil )
    | ~ ( ssItem @ ( hd @ sk__17 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4312,zip_derived_cl1216]) ).

thf(zip_derived_cl4312_045,plain,
    ( ( cons @ ( hd @ sk__17 ) @ nil )
    = sk__17 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4311,zip_derived_cl3711]) ).

thf(zip_derived_cl27_046,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl3809_047,plain,
    ssItem @ ( hd @ sk__17 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3808,zip_derived_cl801]) ).

thf(zip_derived_cl4431,plain,
    ( sk__17
    = ( app @ sk__17 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl4361,zip_derived_cl4312,zip_derived_cl27,zip_derived_cl3809]) ).

thf(zip_derived_cl2821_048,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( frontsegP @ ( app @ X1 @ X0 ) @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl819,zip_derived_cl39]) ).

thf(zip_derived_cl4560,plain,
    ( ( frontsegP @ sk__17 @ sk__17 )
    | ~ ( ssList @ nil )
    | ~ ( ssList @ sk__17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4431,zip_derived_cl2821]) ).

thf(zip_derived_cl27_049,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl95_050,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4594,plain,
    frontsegP @ sk__17 @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl4560,zip_derived_cl27,zip_derived_cl95]) ).

thf(zip_derived_cl95_051,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5561,plain,
    ( ~ ( neq @ sk__17 @ nil )
    | ~ ( ssList @ ( tl @ sk__18 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5549,zip_derived_cl4594,zip_derived_cl95]) ).

thf(zip_derived_cl5643,plain,
    ( ~ ( ssList @ sk__17 )
    | ( sk__17 = nil )
    | ~ ( ssList @ nil )
    | ~ ( ssList @ ( tl @ sk__18 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl5561]) ).

thf(zip_derived_cl95_052,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_053,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl5645,plain,
    ( ( sk__17 = nil )
    | ~ ( ssList @ ( tl @ sk__18 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5643,zip_derived_cl95,zip_derived_cl27]) ).

thf(zip_derived_cl3711_054,plain,
    sk__17 != nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3710,zip_derived_cl801]) ).

thf(zip_derived_cl5646,plain,
    ~ ( ssList @ ( tl @ sk__18 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5645,zip_derived_cl3711]) ).

thf(zip_derived_cl5651,plain,
    ( ~ ( ssList @ sk__18 )
    | ( nil = sk__18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl5646]) ).

thf(zip_derived_cl771_055,plain,
    ssList @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl104]) ).

thf(zip_derived_cl5652,plain,
    nil = sk__18,
    inference(demod,[status(thm)],[zip_derived_cl5651,zip_derived_cl771]) ).

thf(zip_derived_cl801_056,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl771,zip_derived_cl27]) ).

thf(zip_derived_cl5653,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5652,zip_derived_cl801]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWC022+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CsSyHeO25e true
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Aug 28 16:35:13 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.95/1.45  % Solved by fo/fo3_bce.sh.
% 2.95/1.45  % BCE start: 107
% 2.95/1.45  % BCE eliminated: 2
% 2.95/1.45  % PE start: 105
% 2.95/1.45  logic: eq
% 2.95/1.45  % PE eliminated: 2
% 2.95/1.45  % done 779 iterations in 0.687s
% 2.95/1.45  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.95/1.45  % SZS output start Refutation
% See solution above
% 2.95/1.46  
% 2.95/1.46  
% 2.95/1.46  % Terminating...
% 6.27/1.56  % Runner terminated.
% 6.27/1.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------