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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC083+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZVqIe8Voie true

% Computer : n001.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 Oct  2 04:58:32 PM UTC 2025

% Result   : Theorem 6.70s 1.57s
% Output   : Refutation 6.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  189 ( 103 unt;   0 typ;   0 def)
%            Number of atoms       :  432 (  89 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives : 1140 ( 208   ~; 202   |;  10   &; 689   @)
%                                         (   4 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   9 con; 0-2 aty)
%            Number of variables   :  121 (   0   ^; 115   !;   6   ?; 121   :)

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

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

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

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

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

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

thf(rearsegP_type,type,
    rearsegP: $i > $i > $o ).

thf(sk__5_type,type,
    sk__5: $i > $i > $i ).

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

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

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

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

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

thf(sk__7_type,type,
    sk__7: $i > $i > $i ).

thf(sk__6_type,type,
    sk__6: $i > $i > $i ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

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

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

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(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ! [Z: $i] :
                      ( ( ssList @ Z )
                     => ! [X1: $i] :
                          ( ( ssList @ X1 )
                         => ! [X2: $i] :
                              ( ( ( app @ Z @ X2 )
                               != X )
                              | ( ( app @ ( app @ Z @ X1 ) @ X2 )
                               != W )
                              | ~ ( ssList @ X2 ) ) ) )
                  | ? [Y: $i] :
                      ( ( segmentP @ U @ Y )
                      & ( segmentP @ V @ Y )
                      & ( neq @ Y @ nil )
                      & ( ssList @ Y ) )
                  | ~ ( neq @ V @ nil )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ! [Z: $i] :
                        ( ( ssList @ Z )
                       => ! [X1: $i] :
                            ( ( ssList @ X1 )
                           => ! [X2: $i] :
                                ( ( ( app @ Z @ X2 )
                                 != X )
                                | ( ( app @ ( app @ Z @ X1 ) @ X2 )
                                 != W )
                                | ~ ( ssList @ X2 ) ) ) )
                    | ? [Y: $i] :
                        ( ( segmentP @ U @ Y )
                        & ( segmentP @ V @ Y )
                        & ( neq @ Y @ nil )
                        & ( ssList @ Y ) )
                    | ~ ( neq @ V @ nil )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl197,plain,
    ( ( app @ ( app @ sk__51 @ sk__52 ) @ sk__53 )
    = sk__49 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206,plain,
    ( ( app @ ( app @ sk__51 @ sk__52 ) @ sk__53 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl194]) ).

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

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

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

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

thf(zip_derived_cl95_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl206_002,plain,
    ( ( app @ ( app @ sk__51 @ sk__52 ) @ sk__53 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl194]) ).

thf(ax6,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( rearsegP @ U @ V )
          <=> ? [W: $i] :
                ( ( ( app @ W @ V )
                  = U )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X2 @ X0 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl415,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__53 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ ( app @ sk__51 @ sk__52 ) )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl17]) ).

thf(zip_derived_cl196,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl425,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ~ ( ssList @ ( app @ sk__51 @ sk__52 ) )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl415,zip_derived_cl196]) ).

thf(zip_derived_cl1073,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__51 )
      | ~ ( ssList @ sk__52 )
      | ( sk__47 != X0 )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl425]) ).

thf(zip_derived_cl195,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199,plain,
    ssList @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1074,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1073,zip_derived_cl195,zip_derived_cl199]) ).

thf(zip_derived_cl1075,plain,
    ( ~ ( ssList @ sk__47 )
    | ( rearsegP @ sk__47 @ sk__53 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1074]) ).

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

thf(zip_derived_cl1076,plain,
    rearsegP @ sk__47 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl1075,zip_derived_cl190]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ( app @ ( sk__6 @ X0 @ X1 ) @ X0 )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl1077,plain,
    ( ~ ( ssList @ sk__53 )
    | ( ( app @ ( sk__6 @ sk__53 @ sk__47 ) @ sk__53 )
      = sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1076,zip_derived_cl15]) ).

thf(zip_derived_cl196_003,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190_004,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1080,plain,
    ( ( app @ ( sk__6 @ sk__53 @ sk__47 ) @ sk__53 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl1077,zip_derived_cl196,zip_derived_cl190]) ).

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_cl21,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_cl1130,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ sk__53 )
      | ~ ( ssList @ X1 )
      | ( ( app @ sk__47 @ X1 )
       != X0 )
      | ~ ( ssList @ ( sk__6 @ sk__53 @ sk__47 ) )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1080,zip_derived_cl21]) ).

thf(zip_derived_cl196_005,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1076_006,plain,
    rearsegP @ sk__47 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl1075,zip_derived_cl190]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ssList @ ( sk__6 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl1078,plain,
    ( ~ ( ssList @ sk__53 )
    | ( ssList @ ( sk__6 @ sk__53 @ sk__47 ) )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1076,zip_derived_cl16]) ).

thf(zip_derived_cl196_007,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190_008,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1081,plain,
    ssList @ ( sk__6 @ sk__53 @ sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl1078,zip_derived_cl196,zip_derived_cl190]) ).

thf(zip_derived_cl1143,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( ( app @ sk__47 @ X1 )
       != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1130,zip_derived_cl196,zip_derived_cl1081]) ).

thf(zip_derived_cl1241,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ~ ( ssList @ nil )
      | ( sk__47 != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl1143]) ).

thf(zip_derived_cl190_009,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl1244,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1241,zip_derived_cl190,zip_derived_cl83]) ).

thf(zip_derived_cl1246,plain,
    ( ~ ( ssList @ sk__47 )
    | ( segmentP @ sk__47 @ sk__53 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1244]) ).

thf(zip_derived_cl190_010,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1247,plain,
    segmentP @ sk__47 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl1246,zip_derived_cl190]) ).

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

thf(zip_derived_cl1252,plain,
    ( ~ ( segmentP @ sk__48 @ sk__53 )
    | ~ ( neq @ sk__53 @ nil )
    | ~ ( ssList @ sk__53 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1247,zip_derived_cl192]) ).

thf(zip_derived_cl176_011,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl198,plain,
    ( ( app @ sk__51 @ sk__53 )
    = sk__50 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205,plain,
    ( ( app @ sk__51 @ sk__53 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl200]) ).

thf(zip_derived_cl17_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X2 @ X0 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl421,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__53 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ sk__51 )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl17]) ).

thf(zip_derived_cl196_013,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195_014,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl432,plain,
    ! [X0: $i] :
      ( ( sk__48 != X0 )
      | ( rearsegP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl421,zip_derived_cl196,zip_derived_cl195]) ).

thf(zip_derived_cl435,plain,
    ( ~ ( ssList @ sk__48 )
    | ( rearsegP @ sk__48 @ sk__53 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl432]) ).

thf(zip_derived_cl201,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200_015,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl436,plain,
    rearsegP @ sk__48 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl435,zip_derived_cl204]) ).

thf(zip_derived_cl15_016,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ( app @ ( sk__6 @ X0 @ X1 ) @ X0 )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl437,plain,
    ( ~ ( ssList @ sk__53 )
    | ( ( app @ ( sk__6 @ sk__53 @ sk__48 ) @ sk__53 )
      = sk__48 )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl15]) ).

thf(zip_derived_cl196_017,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204_018,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl439,plain,
    ( ( app @ ( sk__6 @ sk__53 @ sk__48 ) @ sk__53 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl196,zip_derived_cl204]) ).

thf(zip_derived_cl21_019,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_cl587,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ sk__53 )
      | ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ~ ( ssList @ ( sk__6 @ sk__53 @ sk__48 ) )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl21]) ).

thf(zip_derived_cl196_020,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl436_021,plain,
    rearsegP @ sk__48 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl435,zip_derived_cl204]) ).

thf(zip_derived_cl16_022,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ssList @ ( sk__6 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl438,plain,
    ( ~ ( ssList @ sk__53 )
    | ( ssList @ ( sk__6 @ sk__53 @ sk__48 ) )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl16]) ).

thf(zip_derived_cl196_023,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204_024,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl440,plain,
    ssList @ ( sk__6 @ sk__53 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl196,zip_derived_cl204]) ).

thf(zip_derived_cl602,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl196,zip_derived_cl440]) ).

thf(zip_derived_cl817,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__48 )
      | ~ ( ssList @ nil )
      | ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl602]) ).

thf(zip_derived_cl204_025,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl83_026,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl820,plain,
    ! [X0: $i] :
      ( ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__53 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl817,zip_derived_cl204,zip_derived_cl83]) ).

thf(zip_derived_cl822,plain,
    ( ~ ( ssList @ sk__48 )
    | ( segmentP @ sk__48 @ sk__53 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl820]) ).

thf(zip_derived_cl204_027,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl823,plain,
    segmentP @ sk__48 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl204]) ).

thf(zip_derived_cl196_028,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1257,plain,
    ~ ( neq @ sk__53 @ nil ),
    inference(demod,[status(thm)],[zip_derived_cl1252,zip_derived_cl823,zip_derived_cl196]) ).

thf(zip_derived_cl1259,plain,
    ( ~ ( ssList @ sk__53 )
    | ( sk__53 = nil )
    | ~ ( ssList @ nil ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl1257]) ).

thf(zip_derived_cl196_029,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1260,plain,
    sk__53 = nil,
    inference(demod,[status(thm)],[zip_derived_cl1259,zip_derived_cl196,zip_derived_cl83]) ).

thf(zip_derived_cl1263,plain,
    ( ( app @ ( app @ sk__51 @ sk__52 ) @ nil )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl1260]) ).

thf(zip_derived_cl205_031,plain,
    ( ( app @ sk__51 @ sk__53 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl200]) ).

thf(zip_derived_cl1260_032,plain,
    sk__53 = nil,
    inference(demod,[status(thm)],[zip_derived_cl1259,zip_derived_cl196,zip_derived_cl83]) ).

thf(zip_derived_cl1262,plain,
    ( ( app @ sk__51 @ nil )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl1260]) ).

thf(zip_derived_cl176_033,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl1331,plain,
    ( ( sk__48 = sk__51 )
    | ~ ( ssList @ sk__51 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1262,zip_derived_cl176]) ).

thf(zip_derived_cl195_034,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1349,plain,
    sk__48 = sk__51,
    inference(demod,[status(thm)],[zip_derived_cl1331,zip_derived_cl195]) ).

thf(zip_derived_cl1558,plain,
    ( ( app @ ( app @ sk__48 @ sk__52 ) @ nil )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl1263,zip_derived_cl1349]) ).

thf(zip_derived_cl176_035,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl1573,plain,
    ( ( sk__47
      = ( app @ sk__48 @ sk__52 ) )
    | ~ ( ssList @ ( app @ sk__48 @ sk__52 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1558,zip_derived_cl176]) ).

thf(zip_derived_cl2134,plain,
    ( ~ ( ssList @ sk__48 )
    | ~ ( ssList @ sk__52 )
    | ( sk__47
      = ( app @ sk__48 @ sk__52 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1573]) ).

thf(zip_derived_cl204_036,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl199_037,plain,
    ssList @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2135,plain,
    ( sk__47
    = ( app @ sk__48 @ sk__52 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2134,zip_derived_cl204,zip_derived_cl199]) ).

thf(ax45,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( frontsegP @ U @ nil ) ) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i] :
      ( ( frontsegP @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax45]) ).

thf(zip_derived_cl176_038,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl823_039,plain,
    segmentP @ sk__48 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl204]) ).

thf(zip_derived_cl1260_040,plain,
    sk__53 = nil,
    inference(demod,[status(thm)],[zip_derived_cl1259,zip_derived_cl196,zip_derived_cl83]) ).

thf(zip_derived_cl1274,plain,
    segmentP @ sk__48 @ nil,
    inference(demod,[status(thm)],[zip_derived_cl823,zip_derived_cl1260]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ( app @ ( app @ ( sk__7 @ X0 @ X1 ) @ X0 ) @ ( sk__8 @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl1362,plain,
    ( ~ ( ssList @ nil )
    | ( ( app @ ( app @ ( sk__7 @ nil @ sk__48 ) @ nil ) @ ( sk__8 @ nil @ sk__48 ) )
      = sk__48 )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1274,zip_derived_cl19]) ).

thf(zip_derived_cl83_041,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl204_042,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl1366,plain,
    ( ( app @ ( app @ ( sk__7 @ nil @ sk__48 ) @ nil ) @ ( sk__8 @ nil @ sk__48 ) )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl1362,zip_derived_cl83,zip_derived_cl204]) ).

thf(zip_derived_cl3822,plain,
    ( ~ ( ssList @ ( sk__7 @ nil @ sk__48 ) )
    | ( ( app @ ( sk__7 @ nil @ sk__48 ) @ ( sk__8 @ nil @ sk__48 ) )
      = sk__48 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl176,zip_derived_cl1366]) ).

thf(zip_derived_cl823_043,plain,
    segmentP @ sk__48 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl204]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ssList @ ( sk__7 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl826,plain,
    ( ~ ( ssList @ sk__53 )
    | ( ssList @ ( sk__7 @ sk__53 @ sk__48 ) )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl20]) ).

thf(zip_derived_cl196_044,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204_045,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl830,plain,
    ssList @ ( sk__7 @ sk__53 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl196,zip_derived_cl204]) ).

thf(zip_derived_cl1260_046,plain,
    sk__53 = nil,
    inference(demod,[status(thm)],[zip_derived_cl1259,zip_derived_cl196,zip_derived_cl83]) ).

thf(zip_derived_cl1276,plain,
    ssList @ ( sk__7 @ nil @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl1260]) ).

thf(zip_derived_cl3823,plain,
    ( ( app @ ( sk__7 @ nil @ sk__48 ) @ ( sk__8 @ nil @ sk__48 ) )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl3822,zip_derived_cl1276]) ).

thf(ax43,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( frontsegP @ U @ V )
               => ( frontsegP @ ( app @ U @ W ) @ V ) ) ) ) ) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ( frontsegP @ ( app @ X1 @ X2 ) @ X0 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax43]) ).

thf(zip_derived_cl3881,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ ( sk__7 @ nil @ sk__48 ) @ X0 )
      | ( frontsegP @ sk__48 @ X0 )
      | ~ ( ssList @ ( sk__8 @ nil @ sk__48 ) )
      | ~ ( ssList @ ( sk__7 @ nil @ sk__48 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3823,zip_derived_cl118]) ).

thf(zip_derived_cl823_047,plain,
    segmentP @ sk__48 @ sk__53,
    inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl204]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ssList @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl824,plain,
    ( ~ ( ssList @ sk__53 )
    | ( ssList @ ( sk__8 @ sk__53 @ sk__48 ) )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl18]) ).

thf(zip_derived_cl196_048,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204_049,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl828,plain,
    ssList @ ( sk__8 @ sk__53 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl824,zip_derived_cl196,zip_derived_cl204]) ).

thf(zip_derived_cl1260_050,plain,
    sk__53 = nil,
    inference(demod,[status(thm)],[zip_derived_cl1259,zip_derived_cl196,zip_derived_cl83]) ).

thf(zip_derived_cl1275,plain,
    ssList @ ( sk__8 @ nil @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl828,zip_derived_cl1260]) ).

thf(zip_derived_cl1276_051,plain,
    ssList @ ( sk__7 @ nil @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl1260]) ).

thf(zip_derived_cl3904,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ ( sk__7 @ nil @ sk__48 ) @ X0 )
      | ( frontsegP @ sk__48 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3881,zip_derived_cl1275,zip_derived_cl1276]) ).

thf(zip_derived_cl4201,plain,
    ( ~ ( ssList @ ( sk__7 @ nil @ sk__48 ) )
    | ~ ( ssList @ nil )
    | ( frontsegP @ sk__48 @ nil ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl3904]) ).

thf(zip_derived_cl1276_052,plain,
    ssList @ ( sk__7 @ nil @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl1260]) ).

thf(zip_derived_cl83_053,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl4204,plain,
    frontsegP @ sk__48 @ nil,
    inference(demod,[status(thm)],[zip_derived_cl4201,zip_derived_cl1276,zip_derived_cl83]) ).

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_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ( ( app @ X0 @ ( sk__5 @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl4205,plain,
    ( ~ ( ssList @ nil )
    | ( ( app @ nil @ ( sk__5 @ nil @ sk__48 ) )
      = sk__48 )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4204,zip_derived_cl12]) ).

thf(zip_derived_cl83_054,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl204_055,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl4211,plain,
    ( ( app @ nil @ ( sk__5 @ nil @ sk__48 ) )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl4205,zip_derived_cl83,zip_derived_cl204]) ).

thf(zip_derived_cl4211_056,plain,
    ( ( app @ nil @ ( sk__5 @ nil @ sk__48 ) )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl4205,zip_derived_cl83,zip_derived_cl204]) ).

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

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

thf(zip_derived_cl4241,plain,
    ( ( sk__48
      = ( sk__5 @ nil @ sk__48 ) )
    | ~ ( ssList @ ( sk__5 @ nil @ sk__48 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4211,zip_derived_cl97]) ).

thf(zip_derived_cl4204_057,plain,
    frontsegP @ sk__48 @ nil,
    inference(demod,[status(thm)],[zip_derived_cl4201,zip_derived_cl1276,zip_derived_cl83]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ( ssList @ ( sk__5 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl4206,plain,
    ( ~ ( ssList @ nil )
    | ( ssList @ ( sk__5 @ nil @ sk__48 ) )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4204,zip_derived_cl13]) ).

thf(zip_derived_cl83_058,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl204_059,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl4212,plain,
    ssList @ ( sk__5 @ nil @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl4206,zip_derived_cl83,zip_derived_cl204]) ).

thf(zip_derived_cl4274,plain,
    ( sk__48
    = ( sk__5 @ nil @ sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4241,zip_derived_cl4212]) ).

thf(zip_derived_cl4287,plain,
    ( ( app @ nil @ sk__48 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl4274]) ).

thf(zip_derived_cl21_060,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_cl4308,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ sk__48 )
      | ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X0 @ sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4287,zip_derived_cl21]) ).

thf(zip_derived_cl204_061,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl83_062,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl4340,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ( segmentP @ X0 @ sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4308,zip_derived_cl204,zip_derived_cl83]) ).

thf(zip_derived_cl5573,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__52 )
      | ( sk__47 != X0 )
      | ( segmentP @ X0 @ sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2135,zip_derived_cl4340]) ).

thf(zip_derived_cl199_063,plain,
    ssList @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5578,plain,
    ! [X0: $i] :
      ( ( sk__47 != X0 )
      | ( segmentP @ X0 @ sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5573,zip_derived_cl199]) ).

thf(zip_derived_cl5597,plain,
    ( ~ ( ssList @ sk__47 )
    | ( segmentP @ sk__47 @ sk__48 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5578]) ).

thf(zip_derived_cl190_064,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5598,plain,
    segmentP @ sk__47 @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl5597,zip_derived_cl190]) ).

thf(zip_derived_cl192_065,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__47 @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5605,plain,
    ( ~ ( segmentP @ sk__48 @ sk__48 )
    | ~ ( neq @ sk__48 @ nil )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5598,zip_derived_cl192]) ).

thf(zip_derived_cl176_066,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl4340_067,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ( segmentP @ X0 @ sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4308,zip_derived_cl204,zip_derived_cl83]) ).

thf(zip_derived_cl5569,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__48 )
      | ~ ( ssList @ nil )
      | ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl4340]) ).

thf(zip_derived_cl204_068,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl83_069,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl5575,plain,
    ! [X0: $i] :
      ( ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5569,zip_derived_cl204,zip_derived_cl83]) ).

thf(zip_derived_cl5579,plain,
    ( ~ ( ssList @ sk__48 )
    | ( segmentP @ sk__48 @ sk__48 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5575]) ).

thf(zip_derived_cl204_070,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl5580,plain,
    segmentP @ sk__48 @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl5579,zip_derived_cl204]) ).

thf(zip_derived_cl193,plain,
    neq @ sk__48 @ nil,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204_071,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl200]) ).

thf(zip_derived_cl5612,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5605,zip_derived_cl5580,zip_derived_cl193,zip_derived_cl204]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC083+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZVqIe8Voie true
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 17:11:23 EDT 2025
% 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
% 0.15/0.37  % Running in FO mode
% 0.55/0.66  % Total configuration time : 435
% 0.55/0.66  % Estimated wc time : 1092
% 0.55/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.70/1.57  % Solved by fo/fo13.sh.
% 6.70/1.57  % done 1050 iterations in 0.760s
% 6.70/1.57  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.70/1.57  % SZS output start Refutation
% See solution above
% 6.70/1.57  
% 6.70/1.57  
% 6.70/1.57  % Terminating...
% 7.21/1.68  % Runner terminated.
% 7.21/1.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------