TSTP Solution File: SWC316+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC316+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TJpnm3zgFC true

% Computer : n031.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 21:30:42 EDT 2023

% Result   : Theorem 5.16s 1.33s
% Output   : Refutation 5.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  108 (  42 unt;  14 typ;   0 def)
%            Number of atoms       :  325 ( 128 equ;   0 cnn)
%            Maximal formula atoms :   25 (   3 avg)
%            Number of connectives :  859 ( 196   ~; 180   |;  24   &; 432   @)
%                                         (   1 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :  104 (   0   ^;  96   !;   8   ?; 104   :)

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

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

thf(zip_derived_cl205,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1621,plain,
    ( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
      = sk__48 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl205,zip_derived_cl205]) ).

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

thf(zip_derived_cl1696,plain,
    neq @ sk__48 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl1697,plain,
    ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl1621,zip_derived_cl1696]) ).

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_cl81_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( neq @ sk__47 @ nil )
      | ~ ( ssList @ X0 )
      | ~ ( neq @ nil @ sk__47 )
      | ( ( tl @ sk__47 )
       != X0 )
      | ~ ( ssItem @ X1 )
      | ( ( cons @ X1 @ nil )
       != X2 )
      | ( ( hd @ sk__47 )
       != X1 )
      | ~ ( neq @ nil @ sk__47 )
      | ( ( app @ X0 @ X2 )
       != X3 )
      | ~ ( ssList @ X2 )
      | ( sk__48 != X3 )
      | ~ ( ssList @ X3 )
      | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3592,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( neq @ sk__50 @ nil )
      | ~ ( ssList @ X3 )
      | ( sk__48 != X3 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X3 )
      | ( ( hd @ sk__47 )
       != X1 )
      | ( ( cons @ X1 @ nil )
       != X2 )
      | ~ ( ssItem @ X1 )
      | ( ( tl @ sk__47 )
       != X0 )
      | ~ ( neq @ nil @ sk__47 )
      | ~ ( ssList @ X0 )
      | ~ ( neq @ sk__47 @ nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl204]) ).

thf(zip_derived_cl205_003,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1696_004,plain,
    neq @ sk__48 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

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(ax27,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssItem @ W )
             => ( ( cons @ W @ ( app @ V @ U ) )
                = ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
        = ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax27]) ).

thf(zip_derived_cl2127,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ nil )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ nil ) @ X0 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl96]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl2136,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ nil ) @ X0 ) )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2127,zip_derived_cl83]) ).

thf(zip_derived_cl2137,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ( ( cons @ X1 @ X0 )
        = ( app @ ( cons @ X1 @ nil ) @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2136]) ).

thf(zip_derived_cl200,plain,
    ( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__49 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_005,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1644,plain,
    ( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
      = sk__47 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl192,zip_derived_cl205]) ).

thf(zip_derived_cl1696_006,plain,
    neq @ sk__48 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl1698,plain,
    ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl1644,zip_derived_cl1696]) ).

thf(zip_derived_cl2185,plain,
    ( ~ ( ssList @ sk__52 )
    | ~ ( ssItem @ sk__51 )
    | ( ( cons @ sk__51 @ sk__52 )
      = sk__47 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2137,zip_derived_cl1698]) ).

thf(zip_derived_cl201,plain,
    ( ( ssList @ sk__52 )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202,plain,
    ( ( ssList @ sk__52 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_007,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1601,plain,
    ( ( ssList @ sk__52 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl205]) ).

thf(zip_derived_cl1609,plain,
    ssList @ sk__52,
    inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl1601]) ).

thf(zip_derived_cl196,plain,
    ( ( ssItem @ sk__51 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_008,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1599,plain,
    ( ( ssItem @ sk__51 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl205]) ).

thf(zip_derived_cl195,plain,
    ( ( ssItem @ sk__51 )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1600,plain,
    ssItem @ sk__51,
    inference(clc,[status(thm)],[zip_derived_cl1599,zip_derived_cl195]) ).

thf(zip_derived_cl2196,plain,
    ( ( cons @ sk__51 @ sk__52 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl2185,zip_derived_cl1609,zip_derived_cl1600]) ).

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_cl2219,plain,
    ( ~ ( ssItem @ sk__51 )
    | ( ( hd @ sk__47 )
      = sk__51 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2196,zip_derived_cl92]) ).

thf(zip_derived_cl1600_009,plain,
    ssItem @ sk__51,
    inference(clc,[status(thm)],[zip_derived_cl1599,zip_derived_cl195]) ).

thf(zip_derived_cl1609_010,plain,
    ssList @ sk__52,
    inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl1601]) ).

thf(zip_derived_cl2236,plain,
    ( ( hd @ sk__47 )
    = sk__51 ),
    inference(demod,[status(thm)],[zip_derived_cl2219,zip_derived_cl1600,zip_derived_cl1609]) ).

thf(zip_derived_cl2196_011,plain,
    ( ( cons @ sk__51 @ sk__52 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl2185,zip_derived_cl1609,zip_derived_cl1600]) ).

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_cl2220,plain,
    ( ~ ( ssItem @ sk__51 )
    | ( ( tl @ sk__47 )
      = sk__52 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2196,zip_derived_cl94]) ).

thf(zip_derived_cl1600_012,plain,
    ssItem @ sk__51,
    inference(clc,[status(thm)],[zip_derived_cl1599,zip_derived_cl195]) ).

thf(zip_derived_cl1609_013,plain,
    ssList @ sk__52,
    inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl1601]) ).

thf(zip_derived_cl2237,plain,
    ( ( tl @ sk__47 )
    = sk__52 ),
    inference(demod,[status(thm)],[zip_derived_cl2220,zip_derived_cl1600,zip_derived_cl1609]) ).

thf(zip_derived_cl3593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X3 )
      | ( sk__48 != X3 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X3 )
      | ( sk__51 != X1 )
      | ( ( cons @ X1 @ nil )
       != X2 )
      | ~ ( ssItem @ X1 )
      | ( sk__52 != X0 )
      | ~ ( neq @ nil @ sk__47 )
      | ~ ( ssList @ X0 )
      | ~ ( neq @ sk__47 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl3592,zip_derived_cl205,zip_derived_cl1696,zip_derived_cl2236,zip_derived_cl2237]) ).

thf(zip_derived_cl3595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__47 )
      | ~ ( ssList @ sk__47 )
      | ~ ( ssList @ X0 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X2 @ X1 )
       != X0 )
      | ( sk__51 != X3 )
      | ( ( cons @ X3 @ nil )
       != X1 )
      | ~ ( ssItem @ X3 )
      | ( sk__52 != X2 )
      | ~ ( ssList @ X2 )
      | ~ ( neq @ sk__47 @ nil ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl3593]) ).

thf(zip_derived_cl83_014,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

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

thf(zip_derived_cl3597,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( nil = sk__47 )
      | ~ ( ssList @ X0 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X2 @ X1 )
       != X0 )
      | ( sk__51 != X3 )
      | ( ( cons @ X3 @ nil )
       != X1 )
      | ~ ( ssItem @ X3 )
      | ( sk__52 != X2 )
      | ~ ( ssList @ X2 )
      | ~ ( neq @ sk__47 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl3595,zip_derived_cl83,zip_derived_cl190]) ).

thf(zip_derived_cl2196_015,plain,
    ( ( cons @ sk__51 @ sk__52 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl2185,zip_derived_cl1609,zip_derived_cl1600]) ).

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

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

thf(zip_derived_cl2218,plain,
    ( ~ ( ssItem @ sk__51 )
    | ( nil != sk__47 )
    | ~ ( ssList @ sk__52 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2196,zip_derived_cl90]) ).

thf(zip_derived_cl1600_016,plain,
    ssItem @ sk__51,
    inference(clc,[status(thm)],[zip_derived_cl1599,zip_derived_cl195]) ).

thf(zip_derived_cl1609_017,plain,
    ssList @ sk__52,
    inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl1601]) ).

thf(zip_derived_cl2235,plain,
    nil != sk__47,
    inference(demod,[status(thm)],[zip_derived_cl2218,zip_derived_cl1600,zip_derived_cl1609]) ).

thf(zip_derived_cl3598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X2 @ X1 )
       != X0 )
      | ( sk__51 != X3 )
      | ( ( cons @ X3 @ nil )
       != X1 )
      | ~ ( ssItem @ X3 )
      | ( sk__52 != X2 )
      | ~ ( ssList @ X2 )
      | ~ ( neq @ sk__47 @ nil ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3597,zip_derived_cl2235]) ).

thf(zip_derived_cl3810,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( sk__47 = nil )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X0 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X2 @ X1 )
       != X0 )
      | ( sk__51 != X3 )
      | ( ( cons @ X3 @ nil )
       != X1 )
      | ~ ( ssItem @ X3 )
      | ( sk__52 != X2 )
      | ~ ( ssList @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl3598]) ).

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

thf(zip_derived_cl83_019,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl3812,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sk__47 = nil )
      | ~ ( ssList @ X0 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X2 @ X1 )
       != X0 )
      | ( sk__51 != X3 )
      | ( ( cons @ X3 @ nil )
       != X1 )
      | ~ ( ssItem @ X3 )
      | ( sk__52 != X2 )
      | ~ ( ssList @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3810,zip_derived_cl190,zip_derived_cl83]) ).

thf(zip_derived_cl2235_020,plain,
    nil != sk__47,
    inference(demod,[status(thm)],[zip_derived_cl2218,zip_derived_cl1600,zip_derived_cl1609]) ).

thf(zip_derived_cl3813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ X2 @ X1 )
       != X0 )
      | ( sk__51 != X3 )
      | ( ( cons @ X3 @ nil )
       != X1 )
      | ~ ( ssItem @ X3 )
      | ( sk__52 != X2 )
      | ~ ( ssList @ X2 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3812,zip_derived_cl2235]) ).

thf(zip_derived_cl3863,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( sk__52 != X0 )
      | ~ ( ssItem @ X1 )
      | ( ( cons @ X1 @ nil )
       != X2 )
      | ( sk__51 != X1 )
      | ( ( app @ X0 @ X2 )
       != sk__48 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ sk__48 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3813]) ).

thf(zip_derived_cl206,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_021,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1597,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl205]) ).

thf(zip_derived_cl3864,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( sk__52 != X0 )
      | ~ ( ssItem @ X1 )
      | ( ( cons @ X1 @ nil )
       != X2 )
      | ( sk__51 != X1 )
      | ( ( app @ X0 @ X2 )
       != sk__48 )
      | ~ ( ssList @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3863,zip_derived_cl1597]) ).

thf(zip_derived_cl4031,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ sk__52 @ X0 )
       != sk__48 )
      | ( sk__51 != X1 )
      | ( ( cons @ X1 @ nil )
       != X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ sk__52 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3864]) ).

thf(zip_derived_cl1609_022,plain,
    ssList @ sk__52,
    inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl1601]) ).

thf(zip_derived_cl4032,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ sk__52 @ X0 )
       != sk__48 )
      | ( sk__51 != X1 )
      | ( ( cons @ X1 @ nil )
       != X0 )
      | ~ ( ssItem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4031,zip_derived_cl1609]) ).

thf(zip_derived_cl4078,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ sk__51 )
      | ( ( cons @ sk__51 @ nil )
       != X0 )
      | ( ( app @ sk__52 @ X0 )
       != sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl4032]) ).

thf(zip_derived_cl1600_023,plain,
    ssItem @ sk__51,
    inference(clc,[status(thm)],[zip_derived_cl1599,zip_derived_cl195]) ).

thf(zip_derived_cl4079,plain,
    ! [X0: $i] :
      ( ( ( cons @ sk__51 @ nil )
       != X0 )
      | ( ( app @ sk__52 @ X0 )
       != sk__48 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4078,zip_derived_cl1600]) ).

thf(zip_derived_cl4120,plain,
    ( ( ( cons @ sk__51 @ nil )
     != ( cons @ sk__51 @ nil ) )
    | ( sk__48 != sk__48 )
    | ~ ( ssList @ ( cons @ sk__51 @ nil ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1697,zip_derived_cl4079]) ).

thf(zip_derived_cl4126,plain,
    ~ ( ssList @ ( cons @ sk__51 @ nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4120]) ).

thf(zip_derived_cl4128,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__51 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4126]) ).

thf(zip_derived_cl83_024,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1600_025,plain,
    ssItem @ sk__51,
    inference(clc,[status(thm)],[zip_derived_cl1599,zip_derived_cl195]) ).

thf(zip_derived_cl4130,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4128,zip_derived_cl83,zip_derived_cl1600]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC316+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TJpnm3zgFC true
% 0.14/0.34  % Computer : n031.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 18:32:25 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.90/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.90/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.90/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.90/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.90/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.90/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.90/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.16/1.33  % Solved by fo/fo6_bce.sh.
% 5.16/1.33  % BCE start: 208
% 5.16/1.33  % BCE eliminated: 2
% 5.16/1.33  % PE start: 206
% 5.16/1.33  logic: eq
% 5.16/1.33  % PE eliminated: 6
% 5.16/1.33  % done 411 iterations in 0.589s
% 5.16/1.33  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.16/1.33  % SZS output start Refutation
% See solution above
% 5.16/1.33  
% 5.16/1.33  
% 5.16/1.33  % Terminating...
% 5.16/1.37  % Runner terminated.
% 5.16/1.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------