TSTP Solution File: SWC310+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC310+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.X7P9L4lPAb true

% Computer : n023.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 21:30:40 EDT 2023

% Result   : Theorem 26.85s 4.42s
% Output   : Refutation 26.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  155 (  47 unt;  15 typ;   0 def)
%            Number of atoms       :  525 ( 258 equ;   0 cnn)
%            Maximal formula atoms :   27 (   3 avg)
%            Number of connectives : 1463 ( 351   ~; 279   |;  33   &; 727   @)
%                                         (   2 <=>;  23  =>;  48  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :  133 (   0   ^; 123   !;  10   ?; 133   :)

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

thf(sk__48_type,type,
    sk__48: $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__49_type,type,
    sk__49: $i ).

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

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

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

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

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

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

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

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

thf(zip_derived_cl198,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl217,plain,
    ( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__50 )
   <= ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl202,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl528,plain,
    ( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__48 )
   <= ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__50 ) ),
    inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl202]) ).

thf(zip_derived_cl199,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl219,plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 )
   <= ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

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

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

thf(zip_derived_cl350,plain,
    ( ! [X0: $i] :
        ( ~ ( ssItem @ sk__51 )
        | ~ ( ssList @ nil )
        | ( sk__49 != X0 )
        | ~ ( ssList @ sk__52 )
        | ( memberP @ X0 @ sk__51 )
        | ~ ( ssList @ X0 ) )
   <= ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl8]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl196,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ! [X0: $i] :
        ( ~ ( ssItem @ sk__51 )
        | ( sk__47 != X0 )
        | ~ ( ssList @ sk__52 )
        | ( memberP @ X0 @ sk__51 )
        | ~ ( ssList @ X0 ) )
   <= ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 ) ),
    inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl83,zip_derived_cl196]) ).

thf(zip_derived_cl441,plain,
    ( ! [X0: $i] :
        ( ~ ( ssList @ X0 )
        | ( sk__47 != X0 )
        | ( memberP @ X0 @ sk__51 ) )
   <= ! [X0: $i] :
        ( ~ ( ssList @ X0 )
        | ( sk__47 != X0 )
        | ( memberP @ X0 @ sk__51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl353]) ).

thf(ax38,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ~ ( memberP @ nil @ U ) ) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ nil @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax38]) ).

thf(zip_derived_cl444,plain,
    ( ( ( sk__47 != nil )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ sk__51 ) )
   <= ! [X0: $i] :
        ( ~ ( ssList @ X0 )
        | ( sk__47 != X0 )
        | ( memberP @ X0 @ sk__51 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl113]) ).

thf(zip_derived_cl83_001,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl445,plain,
    ( ( ( sk__47 != nil )
      | ~ ( ssItem @ sk__51 ) )
   <= ! [X0: $i] :
        ( ~ ( ssList @ X0 )
        | ( sk__47 != X0 )
        | ( memberP @ X0 @ sk__51 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl83]) ).

thf('0',plain,
    ( ( nil != sk__47 )
    | ~ ! [X0: $i] :
          ( ~ ( ssList @ X0 )
          | ( sk__47 != X0 )
          | ( memberP @ X0 @ sk__51 ) )
    | ~ ( ssItem @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl445]) ).

thf(zip_derived_cl197,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ssList @ sk__52 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( ssList @ sk__52 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('2',plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl200,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( ssItem @ sk__51 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ( ssItem @ sk__51 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl194,plain,
    ( ( neq @ sk__48 @ nil )
    | ( nil != sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( neq @ sk__48 @ nil )
    | ( nil != sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('5',plain,
    ( ! [X0: $i] :
        ( ~ ( ssList @ X0 )
        | ( sk__47 != X0 )
        | ( memberP @ X0 @ sk__51 ) )
    | ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
     != sk__49 )
    | ~ ( ssList @ sk__52 )
    | ~ ( ssItem @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl353]) ).

thf(zip_derived_cl201,plain,
    ( ( nil != sk__50 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ( ( nil = sk__49 )
   <= ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl196_002,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ( sk__47 = nil )
   <= ( nil = sk__49 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl196]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X2 @ X1 )
       != X0 )
      | ~ ( neq @ nil @ sk__48 )
      | ( ( hd @ sk__48 )
       != X3 )
      | ( ( cons @ X3 @ nil )
       != X1 )
      | ~ ( ssItem @ X3 )
      | ( ( tl @ sk__48 )
       != X2 )
      | ~ ( neq @ nil @ sk__48 )
      | ~ ( ssList @ X2 )
      | ( nil != sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl207,plain,
    ( ( nil != sk__47 )
   <= ( nil != sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl314,plain,
    ( ( nil != nil )
   <= ( ( nil != sk__47 )
      & ( nil = sk__49 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl207]) ).

thf('6',plain,
    ( ( nil != sk__49 )
    | ( nil = sk__47 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl314]) ).

thf('7',plain,
    ( ( nil != sk__50 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X2 @ X1 )
       != X0 )
      | ~ ( neq @ nil @ sk__48 )
      | ( ( hd @ sk__48 )
       != X3 )
      | ( ( cons @ X3 @ nil )
       != X1 )
      | ~ ( ssItem @ X3 )
      | ( ( tl @ sk__48 )
       != X2 )
      | ~ ( neq @ nil @ sk__48 )
      | ~ ( ssList @ X2 )
      | ( nil = sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl210,plain,
    ( ( nil = sk__48 )
   <= ( nil = sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl202_003,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl223,plain,
    ( ( nil != sk__50 )
   <= ( nil != sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl326,plain,
    ( ( nil != sk__48 )
   <= ( nil != sk__50 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl223]) ).

thf(zip_derived_cl354,plain,
    ( ( nil != nil )
   <= ( ( nil != sk__50 )
      & ( nil = sk__48 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl210,zip_derived_cl326]) ).

thf('8',plain,
    ( ( nil != sk__48 )
    | ( nil = sk__50 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl354]) ).

thf(zip_derived_cl195,plain,
    ( ( neq @ sk__48 @ nil )
    | ( nil = sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ( neq @ sk__48 @ nil )
    | ( nil = sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl202_004,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl216,plain,
    ( ~ ( neq @ sk__50 @ nil )
   <= ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl325,plain,
    ( ~ ( neq @ sk__48 @ nil )
   <= ~ ( neq @ sk__50 @ nil ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl216]) ).

thf(zip_derived_cl211,plain,
    ( ( neq @ sk__48 @ nil )
   <= ( neq @ sk__48 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('10',plain,
    ( ( neq @ sk__50 @ nil )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl325,zip_derived_cl211]) ).

thf('11',plain,
    ( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__50 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('12',plain,
    ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
    = sk__50 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11']) ).

thf(zip_derived_cl529,plain,
    ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
    = sk__48 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl528,'12']) ).

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

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

thf(zip_derived_cl4346,plain,
    ( ~ ( ssItem @ sk__51 )
    | ( ( cons @ sk__51 @ sk__52 )
      = sk__48 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl529,zip_derived_cl171]) ).

thf(zip_derived_cl221,plain,
    ( ( ssItem @ sk__51 )
   <= ( ssItem @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf('13',plain,
    ssItem @ sk__51,
    inference('sat_resolution*',[status(thm)],['0','1','2','4','5','6','7','8','9','10','3']) ).

thf(zip_derived_cl532,plain,
    ssItem @ sk__51,
    inference(simpl_trail,[status(thm)],[zip_derived_cl221,'13']) ).

thf(zip_derived_cl215,plain,
    ( ( ssList @ sk__52 )
   <= ( ssList @ sk__52 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('14',plain,
    ssList @ sk__52,
    inference('sat_resolution*',[status(thm)],['0','2','3','4','5','6','7','8','9','10','1']) ).

thf(zip_derived_cl526,plain,
    ssList @ sk__52,
    inference(simpl_trail,[status(thm)],[zip_derived_cl215,'14']) ).

thf(zip_derived_cl4351,plain,
    ( ( cons @ sk__51 @ sk__52 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl4346,zip_derived_cl532,zip_derived_cl526]) ).

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

thf(zip_derived_cl94,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( tl @ ( cons @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax25]) ).

thf(zip_derived_cl15887,plain,
    ( ~ ( ssItem @ sk__51 )
    | ( ( tl @ sk__48 )
      = sk__52 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4351,zip_derived_cl94]) ).

thf(zip_derived_cl532_005,plain,
    ssItem @ sk__51,
    inference(simpl_trail,[status(thm)],[zip_derived_cl221,'13']) ).

thf(zip_derived_cl526_006,plain,
    ssList @ sk__52,
    inference(simpl_trail,[status(thm)],[zip_derived_cl215,'14']) ).

thf(zip_derived_cl15997,plain,
    ( ( tl @ sk__48 )
    = sk__52 ),
    inference(demod,[status(thm)],[zip_derived_cl15887,zip_derived_cl532,zip_derived_cl526]) ).

thf(zip_derived_cl219_007,plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 )
   <= ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl205,plain,
    ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
        ( ~ ( ssList @ X1 )
        | ~ ( ssList @ X2 )
        | ~ ( ssList @ X0 )
        | ~ ( ssItem @ X3 )
        | ( ( app @ X2 @ X1 )
         != X0 )
        | ( sk__47 != X0 )
        | ( ( hd @ sk__48 )
         != X3 )
        | ( ( cons @ X3 @ nil )
         != X1 )
        | ( ( tl @ sk__48 )
         != X2 ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i] :
        ( ~ ( ssList @ X1 )
        | ~ ( ssList @ X2 )
        | ~ ( ssList @ X0 )
        | ~ ( ssItem @ X3 )
        | ( ( app @ X2 @ X1 )
         != X0 )
        | ( sk__47 != X0 )
        | ( ( hd @ sk__48 )
         != X3 )
        | ( ( cons @ X3 @ nil )
         != X1 )
        | ( ( tl @ sk__48 )
         != X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl270,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ( ( tl @ sk__48 )
         != X0 )
        | ( ( cons @ X1 @ nil )
         != X2 )
        | ( ( hd @ sk__48 )
         != X1 )
        | ( sk__47
         != ( app @ X0 @ X2 ) )
        | ~ ( ssItem @ X1 )
        | ~ ( ssList @ ( app @ X0 @ X2 ) )
        | ~ ( ssList @ X0 )
        | ~ ( ssList @ X2 ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i] :
        ( ~ ( ssList @ X1 )
        | ~ ( ssList @ X2 )
        | ~ ( ssList @ X0 )
        | ~ ( ssItem @ X3 )
        | ( ( app @ X2 @ X1 )
         != X0 )
        | ( sk__47 != X0 )
        | ( ( hd @ sk__48 )
         != X3 )
        | ( ( cons @ X3 @ nil )
         != X1 )
        | ( ( tl @ sk__48 )
         != X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl205]) ).

thf(zip_derived_cl272,plain,
    ( ! [X0: $i] :
        ( ( ( tl @ sk__48 )
         != sk__52 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( hd @ sk__48 )
         != X0 )
        | ( sk__47 != sk__49 )
        | ~ ( ssItem @ X0 )
        | ~ ( ssList @ sk__49 )
        | ~ ( ssList @ sk__52 )
        | ~ ( ssList @ ( cons @ sk__51 @ nil ) ) )
   <= ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
          ( ~ ( ssList @ X1 )
          | ~ ( ssList @ X2 )
          | ~ ( ssList @ X0 )
          | ~ ( ssItem @ X3 )
          | ( ( app @ X2 @ X1 )
           != X0 )
          | ( sk__47 != X0 )
          | ( ( hd @ sk__48 )
           != X3 )
          | ( ( cons @ X3 @ nil )
           != X1 )
          | ( ( tl @ sk__48 )
           != X2 ) )
      & ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
        = sk__49 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl270]) ).

thf(zip_derived_cl196_008,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_009,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    ( ! [X0: $i] :
        ( ( ( tl @ sk__48 )
         != sk__52 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( hd @ sk__48 )
         != X0 )
        | ( sk__47 != sk__47 )
        | ~ ( ssItem @ X0 )
        | ~ ( ssList @ sk__47 )
        | ~ ( ssList @ sk__52 )
        | ~ ( ssList @ ( cons @ sk__51 @ nil ) ) )
   <= ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
          ( ~ ( ssList @ X1 )
          | ~ ( ssList @ X2 )
          | ~ ( ssList @ X0 )
          | ~ ( ssItem @ X3 )
          | ( ( app @ X2 @ X1 )
           != X0 )
          | ( sk__47 != X0 )
          | ( ( hd @ sk__48 )
           != X3 )
          | ( ( cons @ X3 @ nil )
           != X1 )
          | ( ( tl @ sk__48 )
           != X2 ) )
      & ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
        = sk__49 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl196,zip_derived_cl196]) ).

thf(zip_derived_cl275,plain,
    ( ! [X0: $i] :
        ( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
        | ~ ( ssList @ sk__52 )
        | ~ ( ssList @ sk__47 )
        | ~ ( ssItem @ X0 )
        | ( ( hd @ sk__48 )
         != X0 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( tl @ sk__48 )
         != sk__52 ) )
   <= ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
          ( ~ ( ssList @ X1 )
          | ~ ( ssList @ X2 )
          | ~ ( ssList @ X0 )
          | ~ ( ssItem @ X3 )
          | ( ( app @ X2 @ X1 )
           != X0 )
          | ( sk__47 != X0 )
          | ( ( hd @ sk__48 )
           != X3 )
          | ( ( cons @ X3 @ nil )
           != X1 )
          | ( ( tl @ sk__48 )
           != X2 ) )
      & ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
        = sk__49 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl274]) ).

thf(zip_derived_cl279,plain,
    ( ( ( tl @ sk__48 )
     != sk__52 )
   <= ( ( tl @ sk__48 )
     != sk__52 ) ),
    inference(split,[status(esa)],[zip_derived_cl275]) ).

thf(zip_derived_cl206,plain,
    ( ~ ( neq @ nil @ sk__48 )
   <= ~ ( neq @ nil @ sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

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(zip_derived_cl1572,plain,
    ( ( ~ ( ssList @ sk__48 )
      | ( nil = sk__48 )
      | ~ ( ssList @ nil ) )
   <= ~ ( neq @ nil @ sk__48 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl206,zip_derived_cl81]) ).

thf(zip_derived_cl203,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202_010,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl574,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl202]) ).

thf(zip_derived_cl83_011,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1573,plain,
    ( ( nil = sk__48 )
   <= ~ ( neq @ nil @ sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1572,zip_derived_cl574,zip_derived_cl83]) ).

thf(zip_derived_cl223_012,plain,
    ( ( nil != sk__50 )
   <= ( nil != sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl202_013,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl533,plain,
    ( ( nil != sk__48 )
   <= ( nil != sk__50 ) ),
    inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl202]) ).

thf('15',plain,
    nil != sk__50,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','10','4','5','6','7']) ).

thf(zip_derived_cl534,plain,
    nil != sk__48,
    inference(simpl_trail,[status(thm)],[zip_derived_cl533,'15']) ).

thf('16',plain,
    neq @ nil @ sk__48,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1573,zip_derived_cl534]) ).

thf('17',plain,
    ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
        ( ~ ( ssList @ X1 )
        | ~ ( ssList @ X2 )
        | ~ ( ssList @ X0 )
        | ~ ( ssItem @ X3 )
        | ( ( app @ X2 @ X1 )
         != X0 )
        | ( sk__47 != X0 )
        | ( ( hd @ sk__48 )
         != X3 )
        | ( ( cons @ X3 @ nil )
         != X1 )
        | ( ( tl @ sk__48 )
         != X2 ) )
    | ~ ( neq @ nil @ sk__48 )
    | ( nil = sk__48 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl277,plain,
    ( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
   <= ~ ( ssList @ ( cons @ sk__51 @ nil ) ) ),
    inference(split,[status(esa)],[zip_derived_cl275]) ).

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

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl1522,plain,
    ( ( ~ ( ssItem @ sk__51 )
      | ~ ( ssList @ nil ) )
   <= ~ ( ssList @ ( cons @ sk__51 @ nil ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl277,zip_derived_cl82]) ).

thf(zip_derived_cl532_014,plain,
    ssItem @ sk__51,
    inference(simpl_trail,[status(thm)],[zip_derived_cl221,'13']) ).

thf(zip_derived_cl83_015,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf('18',plain,
    ssList @ ( cons @ sk__51 @ nil ),
    inference(demod,[status(thm)],[zip_derived_cl1522,zip_derived_cl532,zip_derived_cl83]) ).

thf(zip_derived_cl276,plain,
    ( ! [X0: $i] :
        ( ~ ( ssItem @ X0 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( hd @ sk__48 )
         != X0 ) )
   <= ! [X0: $i] :
        ( ~ ( ssItem @ X0 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( hd @ sk__48 )
         != X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl275]) ).

thf(zip_derived_cl282,plain,
    ( ( ( ( cons @ ( hd @ sk__48 ) @ nil )
       != ( cons @ sk__51 @ nil ) )
      | ~ ( ssItem @ ( hd @ sk__48 ) ) )
   <= ! [X0: $i] :
        ( ~ ( ssItem @ X0 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( hd @ sk__48 )
         != X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl276]) ).

thf(zip_derived_cl409,plain,
    ( ~ ( ssItem @ ( hd @ sk__48 ) )
   <= ~ ( ssItem @ ( hd @ sk__48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

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

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssItem @ ( hd @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax22]) ).

thf(zip_derived_cl772,plain,
    ( ( ( nil = sk__48 )
      | ~ ( ssList @ sk__48 ) )
   <= ~ ( ssItem @ ( hd @ sk__48 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl409,zip_derived_cl91]) ).

thf(zip_derived_cl574_016,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl202]) ).

thf(zip_derived_cl774,plain,
    ( ( nil = sk__48 )
   <= ~ ( ssItem @ ( hd @ sk__48 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl772,zip_derived_cl574]) ).

thf(zip_derived_cl534_017,plain,
    nil != sk__48,
    inference(simpl_trail,[status(thm)],[zip_derived_cl533,'15']) ).

thf('19',plain,
    ssItem @ ( hd @ sk__48 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl774,zip_derived_cl534]) ).

thf(zip_derived_cl4351_018,plain,
    ( ( cons @ sk__51 @ sk__52 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl4346,zip_derived_cl532,zip_derived_cl526]) ).

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

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

thf(zip_derived_cl15886,plain,
    ( ~ ( ssItem @ sk__51 )
    | ( ( hd @ sk__48 )
      = sk__51 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4351,zip_derived_cl92]) ).

thf(zip_derived_cl532_019,plain,
    ssItem @ sk__51,
    inference(simpl_trail,[status(thm)],[zip_derived_cl221,'13']) ).

thf(zip_derived_cl526_020,plain,
    ssList @ sk__52,
    inference(simpl_trail,[status(thm)],[zip_derived_cl215,'14']) ).

thf(zip_derived_cl15996,plain,
    ( ( hd @ sk__48 )
    = sk__51 ),
    inference(demod,[status(thm)],[zip_derived_cl15886,zip_derived_cl532,zip_derived_cl526]) ).

thf(zip_derived_cl410,plain,
    ( ( ( cons @ ( hd @ sk__48 ) @ nil )
     != ( cons @ sk__51 @ nil ) )
   <= ( ( cons @ ( hd @ sk__48 ) @ nil )
     != ( cons @ sk__51 @ nil ) ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl17039,plain,
    ( ( ( cons @ sk__51 @ nil )
     != ( cons @ sk__51 @ nil ) )
   <= ( ( cons @ ( hd @ sk__48 ) @ nil )
     != ( cons @ sk__51 @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15996,zip_derived_cl410]) ).

thf('20',plain,
    ( ( cons @ ( hd @ sk__48 ) @ nil )
    = ( cons @ sk__51 @ nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17039]) ).

thf('21',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( ssItem @ X0 )
          | ( ( cons @ X0 @ nil )
           != ( cons @ sk__51 @ nil ) )
          | ( ( hd @ sk__48 )
           != X0 ) )
    | ( ( cons @ ( hd @ sk__48 ) @ nil )
     != ( cons @ sk__51 @ nil ) )
    | ~ ( ssItem @ ( hd @ sk__48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl219_021,plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 )
   <= ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl196_022,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl530,plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__47 )
   <= ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__49 ) ),
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl196]) ).

thf('22',plain,
    ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
    = sk__49 ),
    inference('sat_resolution*',[status(thm)],['0','1','3','4','5','6','7','8','9','10','2']) ).

thf(zip_derived_cl531,plain,
    ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
    = sk__47 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl530,'22']) ).

thf(zip_derived_cl270_023,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ( ( tl @ sk__48 )
         != X0 )
        | ( ( cons @ X1 @ nil )
         != X2 )
        | ( ( hd @ sk__48 )
         != X1 )
        | ( sk__47
         != ( app @ X0 @ X2 ) )
        | ~ ( ssItem @ X1 )
        | ~ ( ssList @ ( app @ X0 @ X2 ) )
        | ~ ( ssList @ X0 )
        | ~ ( ssList @ X2 ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i] :
        ( ~ ( ssList @ X1 )
        | ~ ( ssList @ X2 )
        | ~ ( ssList @ X0 )
        | ~ ( ssItem @ X3 )
        | ( ( app @ X2 @ X1 )
         != X0 )
        | ( sk__47 != X0 )
        | ( ( hd @ sk__48 )
         != X3 )
        | ( ( cons @ X3 @ nil )
         != X1 )
        | ( ( tl @ sk__48 )
         != X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl205]) ).

thf(zip_derived_cl698,plain,
    ( ! [X0: $i] :
        ( ( ( tl @ sk__48 )
         != sk__52 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( hd @ sk__48 )
         != X0 )
        | ( sk__47 != sk__47 )
        | ~ ( ssItem @ X0 )
        | ~ ( ssList @ sk__47 )
        | ~ ( ssList @ sk__52 )
        | ~ ( ssList @ ( cons @ sk__51 @ nil ) ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i] :
        ( ~ ( ssList @ X1 )
        | ~ ( ssList @ X2 )
        | ~ ( ssList @ X0 )
        | ~ ( ssItem @ X3 )
        | ( ( app @ X2 @ X1 )
         != X0 )
        | ( sk__47 != X0 )
        | ( ( hd @ sk__48 )
         != X3 )
        | ( ( cons @ X3 @ nil )
         != X1 )
        | ( ( tl @ sk__48 )
         != X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl270]) ).

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

thf(zip_derived_cl526_024,plain,
    ssList @ sk__52,
    inference(simpl_trail,[status(thm)],[zip_derived_cl215,'14']) ).

thf(zip_derived_cl704,plain,
    ( ! [X0: $i] :
        ( ( ( tl @ sk__48 )
         != sk__52 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( hd @ sk__48 )
         != X0 )
        | ( sk__47 != sk__47 )
        | ~ ( ssItem @ X0 )
        | ~ ( ssList @ ( cons @ sk__51 @ nil ) ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i] :
        ( ~ ( ssList @ X1 )
        | ~ ( ssList @ X2 )
        | ~ ( ssList @ X0 )
        | ~ ( ssItem @ X3 )
        | ( ( app @ X2 @ X1 )
         != X0 )
        | ( sk__47 != X0 )
        | ( ( hd @ sk__48 )
         != X3 )
        | ( ( cons @ X3 @ nil )
         != X1 )
        | ( ( tl @ sk__48 )
         != X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl190,zip_derived_cl526]) ).

thf(zip_derived_cl705,plain,
    ( ! [X0: $i] :
        ( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
        | ~ ( ssItem @ X0 )
        | ( ( hd @ sk__48 )
         != X0 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( tl @ sk__48 )
         != sk__52 ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i] :
        ( ~ ( ssList @ X1 )
        | ~ ( ssList @ X2 )
        | ~ ( ssList @ X0 )
        | ~ ( ssItem @ X3 )
        | ( ( app @ X2 @ X1 )
         != X0 )
        | ( sk__47 != X0 )
        | ( ( hd @ sk__48 )
         != X3 )
        | ( ( cons @ X3 @ nil )
         != X1 )
        | ( ( tl @ sk__48 )
         != X2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl704]) ).

thf('23',plain,
    ( ( ( tl @ sk__48 )
     != sk__52 )
    | ! [X0: $i] :
        ( ~ ( ssItem @ X0 )
        | ( ( cons @ X0 @ nil )
         != ( cons @ sk__51 @ nil ) )
        | ( ( hd @ sk__48 )
         != X0 ) )
    | ~ ( ssList @ ( cons @ sk__51 @ nil ) )
    | ~ ! [X0: $i,X1: $i,X2: $i,X3: $i] :
          ( ~ ( ssList @ X1 )
          | ~ ( ssList @ X2 )
          | ~ ( ssList @ X0 )
          | ~ ( ssItem @ X3 )
          | ( ( app @ X2 @ X1 )
           != X0 )
          | ( sk__47 != X0 )
          | ( ( hd @ sk__48 )
           != X3 )
          | ( ( cons @ X3 @ nil )
           != X1 )
          | ( ( tl @ sk__48 )
           != X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl705]) ).

thf('24',plain,
    ( ( tl @ sk__48 )
   != sk__52 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','10','4','5','6','7','8','16','17','18','19','20','21','23']) ).

thf(zip_derived_cl17234,plain,
    ( ( tl @ sk__48 )
   != sk__52 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl279,'24']) ).

thf(zip_derived_cl17281,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl15997,zip_derived_cl17234]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC310+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X7P9L4lPAb true
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 19:08:25 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.59/0.65  % Total configuration time : 435
% 0.59/0.65  % Estimated wc time : 1092
% 0.59/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 26.85/4.42  % Solved by fo/fo1_av.sh.
% 26.85/4.42  % done 3498 iterations in 3.653s
% 26.85/4.42  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.85/4.42  % SZS output start Refutation
% See solution above
% 26.85/4.42  
% 26.85/4.42  
% 26.85/4.42  % Terminating...
% 26.85/4.47  % Runner terminated.
% 26.85/4.48  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------