TSTP Solution File: SWC079+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC079+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.9gOMxkjNDc true

% Computer : n027.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 21:29:00 EDT 2023

% Result   : Theorem 1.40s 1.19s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  178 (  60 unt;  13 typ;   0 def)
%            Number of atoms       :  495 ( 178 equ;   0 cnn)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives : 1235 ( 284   ~; 276   |;  20   &; 621   @)
%                                         (   2 <=>;  32  =>;   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   :  138 (   0   ^; 130   !;   8   ?; 138   :)

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

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

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

thf(sk__21_type,type,
    sk__21: $i ).

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

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

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

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

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

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

thf(zip_derived_cl38,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_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

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

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

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

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(ax7,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( segmentP @ U @ V )
          <=> ? [W: $i] :
                ( ? [X: $i] :
                    ( ( ( app @ ( app @ W @ V ) @ X )
                      = U )
                    & ( ssList @ X ) )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ ( app @ X3 @ X0 ) @ X1 )
       != X2 )
      | ~ ( ssList @ X3 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl815,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ X1 @ X0 )
       != X2 )
      | ~ ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X2 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl8]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl28,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl821,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ X1 @ X0 )
       != X2 )
      | ~ ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X2 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl815,zip_derived_cl28]) ).

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

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl2230,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X1 @ X0 )
       != X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl821,zip_derived_cl40]) ).

thf(zip_derived_cl2238,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl2230]) ).

thf(zip_derived_cl28_001,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl2248,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl28]) ).

thf(zip_derived_cl2249,plain,
    ! [X0: $i,X1: $i] :
      ( ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( X0 != X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2248]) ).

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] :
                            ( ( segmentP @ U @ Y )
                            & ( segmentP @ 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] :
                              ( ( segmentP @ U @ Y )
                              & ( segmentP @ 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_cl99,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( segmentP @ sk__19 @ X0 )
      | ~ ( segmentP @ sk__18 @ X0 )
      | ~ ( neq @ sk__21 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    ( ( neq @ sk__19 @ nil )
    | ( neq @ sk__19 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl769,plain,
    neq @ sk__19 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl901,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( segmentP @ sk__19 @ X0 )
      | ~ ( segmentP @ sk__18 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl102,zip_derived_cl769]) ).

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

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl26_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

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

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl101,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( sk__20 = X1 )
      | ~ ( neq @ nil @ sk__21 )
      | ( ( hd @ sk__21 )
       != X2 )
      | ( ( cons @ X2 @ nil )
       != X1 )
      | ~ ( ssItem @ X2 )
      | ~ ( neq @ sk__21 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl95,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_003,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_004,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_005,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl769_006,plain,
    neq @ sk__19 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl1513,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( sk__18 = X1 )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X2 )
      | ( ( cons @ X2 @ nil )
       != X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl95,zip_derived_cl102,zip_derived_cl102,zip_derived_cl102,zip_derived_cl769]) ).

thf(zip_derived_cl1514,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( sk__18
        = ( cons @ X0 @ nil ) )
      | ~ ( ssList @ ( cons @ X0 @ nil ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1513]) ).

thf(zip_derived_cl1516,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 )
      | ( sk__18
        = ( cons @ X0 @ nil ) )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1514]) ).

thf(zip_derived_cl28_007,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1517,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( sk__18
        = ( cons @ X0 @ nil ) )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1516,zip_derived_cl28]) ).

thf(zip_derived_cl1518,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__19 )
       != X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( sk__18
        = ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1517]) ).

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

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( hd @ ( cons @ X0 @ X1 ) )
        = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax23]) ).

thf(zip_derived_cl1529,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__18 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1518,zip_derived_cl37]) ).

thf(zip_derived_cl28_008,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1563,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__18 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1529,zip_derived_cl28]) ).

thf(zip_derived_cl1564,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__19 )
       != X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
        = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1563]) ).

thf(zip_derived_cl1684,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__19 )
      | ~ ( ssList @ sk__19 )
      | ( ( hd @ sk__18 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__19 )
       != X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1564]) ).

thf(zip_derived_cl28_009,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl103,plain,
    ssList @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_010,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl747,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl1686,plain,
    ! [X0: $i] :
      ( ( nil = sk__19 )
      | ( ( hd @ sk__18 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__19 )
       != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1684,zip_derived_cl28,zip_derived_cl747]) ).

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

thf(zip_derived_cl769_011,plain,
    neq @ sk__19 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl773,plain,
    ( ~ ( ssList @ sk__19 )
    | ( sk__19 != nil )
    | ~ ( ssList @ nil ) ),
    inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl769]) ).

thf(zip_derived_cl747_012,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl28_013,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl775,plain,
    sk__19 != nil,
    inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl747,zip_derived_cl28]) ).

thf(zip_derived_cl1687,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__18 )
        = X0 )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__19 )
       != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1686,zip_derived_cl775]) ).

thf(zip_derived_cl1688,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ( ( hd @ sk__19 )
       != ( hd @ X0 ) )
      | ( ( hd @ sk__18 )
        = ( hd @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl1687]) ).

thf(zip_derived_cl1705,plain,
    ( ( ( hd @ sk__18 )
      = ( hd @ sk__19 ) )
    | ( nil = sk__19 )
    | ~ ( ssList @ sk__19 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1688]) ).

thf(zip_derived_cl747_014,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl1706,plain,
    ( ( ( hd @ sk__18 )
      = ( hd @ sk__19 ) )
    | ( nil = sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1705,zip_derived_cl747]) ).

thf(zip_derived_cl775_015,plain,
    sk__19 != nil,
    inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl747,zip_derived_cl28]) ).

thf(zip_derived_cl1707,plain,
    ( ( hd @ sk__18 )
    = ( hd @ sk__19 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1706,zip_derived_cl775]) ).

thf(zip_derived_cl36_016,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl1717,plain,
    ( ( ssItem @ ( hd @ sk__18 ) )
    | ~ ( ssList @ sk__19 )
    | ( nil = sk__19 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1707,zip_derived_cl36]) ).

thf(zip_derived_cl747_017,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl1723,plain,
    ( ( ssItem @ ( hd @ sk__18 ) )
    | ( nil = sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1717,zip_derived_cl747]) ).

thf(zip_derived_cl775_018,plain,
    sk__19 != nil,
    inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl747,zip_derived_cl28]) ).

thf(zip_derived_cl1724,plain,
    ssItem @ ( hd @ sk__18 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1723,zip_derived_cl775]) ).

thf(zip_derived_cl26_019,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl1518_020,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__19 )
       != X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( sk__18
        = ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1517]) ).

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

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( tl @ ( cons @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax25]) ).

thf(zip_derived_cl1530,plain,
    ! [X0: $i] :
      ( ( ( tl @ sk__18 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1518,zip_derived_cl39]) ).

thf(zip_derived_cl28_021,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1565,plain,
    ! [X0: $i] :
      ( ( ( tl @ sk__18 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1530,zip_derived_cl28]) ).

thf(zip_derived_cl1566,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__19 )
       != X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ~ ( ssItem @ X0 )
      | ( ( tl @ sk__18 )
        = nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1565]) ).

thf(zip_derived_cl1707_022,plain,
    ( ( hd @ sk__18 )
    = ( hd @ sk__19 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1706,zip_derived_cl775]) ).

thf(zip_derived_cl1849,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__18 )
       != X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ~ ( ssItem @ X0 )
      | ( ( tl @ sk__18 )
        = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1566,zip_derived_cl1707]) ).

thf(zip_derived_cl1851,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__19 )
      | ~ ( ssList @ sk__19 )
      | ( ( tl @ sk__18 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1849]) ).

thf(zip_derived_cl28_023,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl747_024,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl1853,plain,
    ! [X0: $i] :
      ( ( nil = sk__19 )
      | ( ( tl @ sk__18 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1851,zip_derived_cl28,zip_derived_cl747]) ).

thf(zip_derived_cl775_025,plain,
    sk__19 != nil,
    inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl747,zip_derived_cl28]) ).

thf(zip_derived_cl1854,plain,
    ! [X0: $i] :
      ( ( ( tl @ sk__18 )
        = nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__18 )
       != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1853,zip_derived_cl775]) ).

thf(zip_derived_cl1865,plain,
    ( ( ( hd @ sk__18 )
     != ( hd @ sk__18 ) )
    | ( ( tl @ sk__18 )
      = nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl1854]) ).

thf(zip_derived_cl1874,plain,
    ( ( tl @ sk__18 )
    = nil ),
    inference(simplify,[status(thm)],[zip_derived_cl1865]) ).

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

thf(zip_derived_cl76,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(zip_derived_cl1877,plain,
    ( ( ( cons @ ( hd @ sk__18 ) @ nil )
      = sk__18 )
    | ~ ( ssList @ sk__18 )
    | ( nil = sk__18 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1874,zip_derived_cl76]) ).

thf(zip_derived_cl93,plain,
    ssList @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1885,plain,
    ( ( ( cons @ ( hd @ sk__18 ) @ nil )
      = sk__18 )
    | ( nil = sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1877,zip_derived_cl93]) ).

thf(zip_derived_cl36_026,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl26_027,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl1518_028,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__19 )
       != X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( sk__18
        = ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1517]) ).

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

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
       != X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax18]) ).

thf(zip_derived_cl1527,plain,
    ! [X0: $i] :
      ( ( sk__18 != nil )
      | ~ ( ssItem @ X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl29]) ).

thf(zip_derived_cl28_029,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1559,plain,
    ! [X0: $i] :
      ( ( sk__18 != nil )
      | ~ ( ssItem @ X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ( ( hd @ sk__19 )
       != X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1527,zip_derived_cl28]) ).

thf(zip_derived_cl1560,plain,
    ! [X0: $i] :
      ( ( ( hd @ sk__19 )
       != X0 )
      | ~ ( neq @ nil @ sk__19 )
      | ~ ( ssItem @ X0 )
      | ( sk__18 != nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1559]) ).

thf(zip_derived_cl1592,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__19 )
      | ~ ( ssList @ sk__19 )
      | ( sk__18 != nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__19 )
       != X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1560]) ).

thf(zip_derived_cl28_030,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl747_031,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl1594,plain,
    ! [X0: $i] :
      ( ( nil = sk__19 )
      | ( sk__18 != nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__19 )
       != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1592,zip_derived_cl28,zip_derived_cl747]) ).

thf(zip_derived_cl775_032,plain,
    sk__19 != nil,
    inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl747,zip_derived_cl28]) ).

thf(zip_derived_cl1595,plain,
    ! [X0: $i] :
      ( ( sk__18 != nil )
      | ~ ( ssItem @ X0 )
      | ( ( hd @ sk__19 )
       != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1594,zip_derived_cl775]) ).

thf(zip_derived_cl1596,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil = X0 )
      | ( ( hd @ sk__19 )
       != ( hd @ X0 ) )
      | ( sk__18 != nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl1595]) ).

thf(zip_derived_cl1673,plain,
    ( ( sk__18 != nil )
    | ( nil = sk__19 )
    | ~ ( ssList @ sk__19 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1596]) ).

thf(zip_derived_cl747_033,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl1674,plain,
    ( ( sk__18 != nil )
    | ( nil = sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl747]) ).

thf(zip_derived_cl775_034,plain,
    sk__19 != nil,
    inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl747,zip_derived_cl28]) ).

thf(zip_derived_cl1675,plain,
    sk__18 != nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl775]) ).

thf(zip_derived_cl1886,plain,
    ( ( cons @ ( hd @ sk__18 ) @ nil )
    = sk__18 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1885,zip_derived_cl1675]) ).

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

thf(zip_derived_cl79,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_cl1918,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( hd @ sk__18 ) @ X0 )
        = ( app @ sk__18 @ X0 ) )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ ( hd @ sk__18 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1886,zip_derived_cl79]) ).

thf(zip_derived_cl1724_035,plain,
    ssItem @ ( hd @ sk__18 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1723,zip_derived_cl775]) ).

thf(zip_derived_cl1946,plain,
    ! [X0: $i] :
      ( ( ( cons @ ( hd @ sk__18 ) @ X0 )
        = ( app @ sk__18 @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1918,zip_derived_cl1724]) ).

thf(zip_derived_cl1707_036,plain,
    ( ( hd @ sk__18 )
    = ( hd @ sk__19 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1706,zip_derived_cl775]) ).

thf(zip_derived_cl76_037,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(zip_derived_cl1720,plain,
    ( ( ( cons @ ( hd @ sk__18 ) @ ( tl @ sk__19 ) )
      = sk__19 )
    | ~ ( ssList @ sk__19 )
    | ( nil = sk__19 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1707,zip_derived_cl76]) ).

thf(zip_derived_cl747_038,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl1729,plain,
    ( ( ( cons @ ( hd @ sk__18 ) @ ( tl @ sk__19 ) )
      = sk__19 )
    | ( nil = sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1720,zip_derived_cl747]) ).

thf(zip_derived_cl775_039,plain,
    sk__19 != nil,
    inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl747,zip_derived_cl28]) ).

thf(zip_derived_cl1730,plain,
    ( ( cons @ ( hd @ sk__18 ) @ ( tl @ sk__19 ) )
    = sk__19 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1729,zip_derived_cl775]) ).

thf(zip_derived_cl2063,plain,
    ( ( ( app @ sk__18 @ ( tl @ sk__19 ) )
      = sk__19 )
    | ~ ( ssList @ ( tl @ sk__19 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1946,zip_derived_cl1730]) ).

thf(zip_derived_cl42_040,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl8_041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ ( app @ X3 @ X0 ) @ X1 )
       != X2 )
      | ~ ( ssList @ X3 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl819,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl8]) ).

thf(zip_derived_cl28_042,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl825,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl819,zip_derived_cl28]) ).

thf(zip_derived_cl826,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X2 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl825]) ).

thf(zip_derived_cl2718,plain,
    ! [X0: $i] :
      ( ( sk__19 != X0 )
      | ~ ( ssList @ ( tl @ sk__19 ) )
      | ~ ( ssList @ sk__18 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__18 )
      | ~ ( ssList @ ( tl @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2063,zip_derived_cl826]) ).

thf(zip_derived_cl93_043,plain,
    ssList @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2768,plain,
    ! [X0: $i] :
      ( ( sk__19 != X0 )
      | ~ ( ssList @ ( tl @ sk__19 ) )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__18 )
      | ~ ( ssList @ ( tl @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2718,zip_derived_cl93]) ).

thf(zip_derived_cl2769,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ sk__18 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ ( tl @ sk__19 ) )
      | ( sk__19 != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2768]) ).

thf(zip_derived_cl3712,plain,
    ( ~ ( segmentP @ sk__18 @ sk__18 )
    | ~ ( neq @ sk__18 @ nil )
    | ~ ( ssList @ sk__18 )
    | ( sk__19 != sk__19 )
    | ~ ( ssList @ ( tl @ sk__19 ) )
    | ~ ( ssList @ sk__19 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl2769]) ).

thf(zip_derived_cl93_044,plain,
    ssList @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl747_045,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl3721,plain,
    ( ~ ( segmentP @ sk__18 @ sk__18 )
    | ~ ( neq @ sk__18 @ nil )
    | ( sk__19 != sk__19 )
    | ~ ( ssList @ ( tl @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3712,zip_derived_cl93,zip_derived_cl747]) ).

thf(zip_derived_cl3722,plain,
    ( ~ ( ssList @ ( tl @ sk__19 ) )
    | ~ ( neq @ sk__18 @ nil )
    | ~ ( segmentP @ sk__18 @ sk__18 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3721]) ).

thf(zip_derived_cl3751,plain,
    ( ( sk__18 != sk__18 )
    | ~ ( ssList @ sk__18 )
    | ~ ( ssList @ sk__18 )
    | ~ ( neq @ sk__18 @ nil )
    | ~ ( ssList @ ( tl @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2249,zip_derived_cl3722]) ).

thf(zip_derived_cl93_046,plain,
    ssList @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93_047,plain,
    ssList @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3757,plain,
    ( ( sk__18 != sk__18 )
    | ~ ( neq @ sk__18 @ nil )
    | ~ ( ssList @ ( tl @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3751,zip_derived_cl93,zip_derived_cl93]) ).

thf(zip_derived_cl3758,plain,
    ( ~ ( ssList @ ( tl @ sk__19 ) )
    | ~ ( neq @ sk__18 @ nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3757]) ).

thf(zip_derived_cl3832,plain,
    ( ~ ( ssList @ sk__18 )
    | ( sk__18 = nil )
    | ~ ( ssList @ nil )
    | ~ ( ssList @ ( tl @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl3758]) ).

thf(zip_derived_cl93_048,plain,
    ssList @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_049,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl3834,plain,
    ( ( sk__18 = nil )
    | ~ ( ssList @ ( tl @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3832,zip_derived_cl93,zip_derived_cl28]) ).

thf(zip_derived_cl1675_050,plain,
    sk__18 != nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl775]) ).

thf(zip_derived_cl3835,plain,
    ~ ( ssList @ ( tl @ sk__19 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3834,zip_derived_cl1675]) ).

thf(zip_derived_cl3840,plain,
    ( ~ ( ssList @ sk__19 )
    | ( nil = sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl3835]) ).

thf(zip_derived_cl747_051,plain,
    ssList @ sk__19,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl102]) ).

thf(zip_derived_cl3841,plain,
    nil = sk__19,
    inference(demod,[status(thm)],[zip_derived_cl3840,zip_derived_cl747]) ).

thf(zip_derived_cl775_052,plain,
    sk__19 != nil,
    inference(demod,[status(thm)],[zip_derived_cl773,zip_derived_cl747,zip_derived_cl28]) ).

thf(zip_derived_cl3842,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3841,zip_derived_cl775]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC079+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9gOMxkjNDc true
% 0.14/0.35  % Computer : n027.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 19:31:22 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % 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/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.40/1.19  % Solved by fo/fo3_bce.sh.
% 1.40/1.19  % BCE start: 105
% 1.40/1.19  % BCE eliminated: 2
% 1.40/1.19  % PE start: 103
% 1.40/1.19  logic: eq
% 1.40/1.19  % PE eliminated: 2
% 1.40/1.19  % done 448 iterations in 0.409s
% 1.40/1.19  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/1.19  % SZS output start Refutation
% See solution above
% 1.40/1.19  
% 1.40/1.19  
% 1.40/1.19  % Terminating...
% 1.84/1.28  % Runner terminated.
% 1.84/1.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------