TSTP Solution File: SET611^3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET611^3 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E0cHlFG6PH true

% Computer : n022.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 16:14:59 EDT 2023

% Result   : Theorem 0.21s 0.79s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   83 (  21 unt;   7 typ;   0 def)
%            Number of atoms       :  381 (  79 equ;  25 cnn)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives :  494 (  78   ~;  64   |;  79   &; 264   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   7 usr;   6 con; 0-3 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  143 ( 122   ^;  21   !;   0   ?; 143   :)

% Comments : 
%------------------------------------------------------------------------------
thf(intersection_type,type,
    intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf('#sk2_type',type,
    '#sk2': $i > $o ).

thf(emptyset_type,type,
    emptyset: $i > $o ).

thf('#sk3_type',type,
    '#sk3': $i ).

thf('#sk1_type',type,
    '#sk1': $i > $o ).

thf('#sk4_type',type,
    '#sk4': $i ).

thf(setminus_type,type,
    setminus: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(setminus,axiom,
    ( setminus
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ~ ( Y @ U ) ) ) ) ).

thf('0',plain,
    ( setminus
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ~ ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[setminus]) ).

thf('1',plain,
    ( setminus
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          & ~ ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(intersection,axiom,
    ( intersection
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ) ).

thf('2',plain,
    ( intersection
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[intersection]) ).

thf('3',plain,
    ( intersection
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(emptyset,axiom,
    ( emptyset
    = ( ^ [X: $i] : $false ) ) ).

thf('4',plain,
    ( emptyset
    = ( ^ [X: $i] : $false ) ),
    inference(simplify_rw_rule,[status(thm)],[emptyset]) ).

thf('5',plain,
    ( emptyset
    = ( ^ [V_1: $i] : $false ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    ! [A: $i > $o,B: $i > $o] :
      ( ( ( intersection @ A @ B )
        = emptyset )
    <=> ( ( setminus @ A @ B )
        = A ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $o,X6: $i > $o] :
      ( ( ( ^ [V_1: $i] :
              ( ( X6 @ V_1 )
              & ( X4 @ V_1 ) ) )
        = ( ^ [V_2: $i] : $false ) )
    <=> ( ( ^ [V_3: $i] :
              ( ~ ( X6 @ V_3 )
              & ( X4 @ V_3 ) ) )
        = X4 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $o,X6: $i > $o] :
        ( ( ( ^ [V_1: $i] :
                ( ( X6 @ V_1 )
                & ( X4 @ V_1 ) ) )
          = ( ^ [V_2: $i] : $false ) )
      <=> ( ( ^ [V_3: $i] :
                ( ~ ( X6 @ V_3 )
                & ( X4 @ V_3 ) ) )
          = X4 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i > $o] :
          ( !!
          @ ^ [Y1: $i > $o] :
              ( ( ( ^ [Y2: $i] :
                      ( ( Y1 @ Y2 )
                      & ( Y0 @ Y2 ) ) )
                = ( ^ [Y2: $i] : $false ) )
            <=> ( ( ^ [Y2: $i] :
                      ( ( (~) @ ( Y1 @ Y2 ) )
                      & ( Y0 @ Y2 ) ) )
                = Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: $i > $o] :
          ( ( ( ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                  & ( '#sk1' @ Y1 ) ) )
            = ( ^ [Y1: $i] : $false ) )
        <=> ( ( ^ [Y1: $i] :
                  ( ( (~) @ ( Y0 @ Y1 ) )
                  & ( '#sk1' @ Y1 ) ) )
            = '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) )
    <=> ( ( ^ [Y0: $i] :
              ( ( (~) @ ( '#sk2' @ Y0 ) )
              & ( '#sk1' @ Y0 ) ) )
        = '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) )
   != ( ( ^ [Y0: $i] :
            ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk1' @ Y0 ) ) )
      = '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) )
    | ( ( ^ [Y0: $i] :
            ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk1' @ Y0 ) ) )
     != '#sk1' ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) )
    | ( ( ^ [Y0: $i] :
            ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk1' @ Y0 ) ) )
     != '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) )
    | ( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
        & ( '#sk1' @ '#sk3' ) )
     != ( '#sk1' @ '#sk3' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    ( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
      & ( '#sk1' @ '#sk3' ) )
    | ( '#sk1' @ '#sk3' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
      & $false )
    | ( '#sk1' @ '#sk3' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl17,plain,
    ( ( '#sk1' @ '#sk3' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl58,plain,
    ( ( '#sk1' @ '#sk3' )
    | ( ( '#sk2' @ '#sk4' )
      & ( '#sk1' @ '#sk4' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl59,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk1' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl10_001,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) )
    | ( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
        & ( '#sk1' @ '#sk3' ) )
     != ( '#sk1' @ '#sk3' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ( ( '#sk2' @ '#sk3' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) )
    | ( ( ( (~) @ $false )
        & ( '#sk1' @ '#sk3' ) )
     != ( '#sk1' @ '#sk3' ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14,plain,
    ( ( '#sk2' @ '#sk3' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) )
    | ( ( '#sk1' @ '#sk3' )
     != ( '#sk1' @ '#sk3' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl15,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) )
    | ( '#sk2' @ '#sk3' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl35,plain,
    ( ( ( '#sk2' @ '#sk4' )
      & ( '#sk1' @ '#sk4' ) )
    | ( '#sk2' @ '#sk3' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl36,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk2' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl3_002,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) )
   != ( ( ^ [Y0: $i] :
            ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk1' @ Y0 ) ) )
      = '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) )
    | ( ( ^ [Y0: $i] :
            ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk1' @ Y0 ) ) )
      = '#sk1' ) ),
    inference(eq_hoist,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) )
    | ( ( ^ [Y0: $i] :
            ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk1' @ Y0 ) ) )
      = '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl22,plain,
    ! [X1: $i] :
      ( ( ( ^ [Y0: $i] :
              ( ( (~) @ ( '#sk2' @ Y0 ) )
              & ( '#sk1' @ Y0 ) )
          @ X1 )
        = ( '#sk1' @ X1 ) )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl23,plain,
    ! [X1: $i] :
      ( ( ( ( (~) @ ( '#sk2' @ X1 ) )
          & ( '#sk1' @ X1 ) )
        = ( '#sk1' @ X1 ) )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl39,plain,
    ( ( ( ( (~) @ $true )
        & ( '#sk1' @ '#sk3' ) )
      = ( '#sk1' @ '#sk3' ) )
    | ( '#sk2' @ '#sk4' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl23]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( '#sk1' @ '#sk3' )
    | ( '#sk2' @ '#sk4' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl59_003,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk1' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl76,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) )
    | ( '#sk2' @ '#sk4' ) ),
    inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl59]) ).

thf(zip_derived_cl80,plain,
    ! [X1: $i] :
      ( ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) )
          @ X1 )
        = ( ^ [Y0: $i] : $false
          @ X1 ) )
      | ( '#sk2' @ '#sk4' ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl81,plain,
    ! [X1: $i] :
      ( ~ ( ( '#sk2' @ X1 )
          & ( '#sk1' @ X1 ) )
      | ( '#sk2' @ '#sk4' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl123,plain,
    ! [X1: $i] :
      ( ~ ( '#sk2' @ X1 )
      | ~ ( '#sk1' @ X1 )
      | ( '#sk2' @ '#sk4' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl126,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk2' @ '#sk4' )
    | ~ ( '#sk2' @ '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl123]) ).

thf(zip_derived_cl36_004,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk2' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl23_005,plain,
    ! [X1: $i] :
      ( ( ( ( (~) @ ( '#sk2' @ X1 ) )
          & ( '#sk1' @ X1 ) )
        = ( '#sk1' @ X1 ) )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl40,plain,
    ( ( ( ( (~) @ $true )
        & ( '#sk1' @ '#sk4' ) )
      = ( '#sk1' @ '#sk4' ) )
    | ( '#sk2' @ '#sk3' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl23]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( '#sk1' @ '#sk4' )
    | ( '#sk2' @ '#sk3' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl37,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( '#sk2' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl109,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) )
    | ( '#sk2' @ '#sk3' ) ),
    inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl37]) ).

thf(zip_derived_cl15_006,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) )
    | ( '#sk2' @ '#sk3' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl110,plain,
    '#sk2' @ '#sk3',
    inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl15]) ).

thf(zip_derived_cl131,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk2' @ '#sk4' ) ),
    inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl110]) ).

thf(zip_derived_cl132,plain,
    '#sk2' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl131]) ).

thf(zip_derived_cl23_007,plain,
    ! [X1: $i] :
      ( ( ( ( (~) @ ( '#sk2' @ X1 ) )
          & ( '#sk1' @ X1 ) )
        = ( '#sk1' @ X1 ) )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl137,plain,
    ( ( ( ( (~) @ $true )
        & ( '#sk1' @ '#sk4' ) )
      = ( '#sk1' @ '#sk4' ) )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl132,zip_derived_cl23]) ).

thf(zip_derived_cl140,plain,
    ( ~ ( '#sk1' @ '#sk4' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl110_008,plain,
    '#sk2' @ '#sk3',
    inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl15]) ).

thf(zip_derived_cl23_009,plain,
    ! [X1: $i] :
      ( ( ( ( (~) @ ( '#sk2' @ X1 ) )
          & ( '#sk1' @ X1 ) )
        = ( '#sk1' @ X1 ) )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl26,plain,
    ! [X1: $i] :
      ( ( ( (~) @ ( '#sk2' @ X1 ) )
        & ( '#sk1' @ X1 ) )
      | ~ ( '#sk1' @ X1 )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl30,plain,
    ! [X1: $i] :
      ( ( ( (~) @ ( '#sk2' @ X1 ) )
        & $true )
      | ~ ( '#sk1' @ X1 )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl31,plain,
    ! [X1: $i] :
      ( ( (~) @ ( '#sk2' @ X1 ) )
      | ~ ( '#sk1' @ X1 )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl32,plain,
    ! [X1: $i] :
      ( ~ ( '#sk2' @ X1 )
      | ~ ( '#sk1' @ X1 )
      | ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) ) )
        = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl115,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
      = ( ^ [Y0: $i] : $false ) )
    | ~ ( '#sk1' @ '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl32]) ).

thf(zip_derived_cl163,plain,
    ! [X1: $i] :
      ( ( ( ^ [Y0: $i] :
              ( ( '#sk2' @ Y0 )
              & ( '#sk1' @ Y0 ) )
          @ X1 )
        = ( ^ [Y0: $i] : $false
          @ X1 ) )
      | ~ ( '#sk1' @ '#sk3' ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl115]) ).

thf(zip_derived_cl164,plain,
    ! [X1: $i] :
      ( ~ ( ( '#sk2' @ X1 )
          & ( '#sk1' @ X1 ) )
      | ~ ( '#sk1' @ '#sk3' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl163]) ).

thf(zip_derived_cl180,plain,
    ! [X1: $i] :
      ( ~ ( '#sk2' @ X1 )
      | ~ ( '#sk1' @ X1 )
      | ~ ( '#sk1' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl164]) ).

thf(zip_derived_cl182,plain,
    ( ~ ( '#sk1' @ '#sk3' )
    | ~ ( '#sk2' @ '#sk3' ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl180]) ).

thf(zip_derived_cl110_010,plain,
    '#sk2' @ '#sk3',
    inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl15]) ).

thf(zip_derived_cl185,plain,
    ~ ( '#sk1' @ '#sk3' ),
    inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl110]) ).

thf(zip_derived_cl60,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( '#sk1' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl188,plain,
    '#sk1' @ '#sk4',
    inference('sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl60]) ).

thf(zip_derived_cl203,plain,
    ( ( ^ [Y0: $i] :
          ( ( '#sk2' @ Y0 )
          & ( '#sk1' @ Y0 ) ) )
    = ( ^ [Y0: $i] : $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl188]) ).

thf(zip_derived_cl17_011,plain,
    ( ( '#sk1' @ '#sk3' )
    | ( ( ^ [Y0: $i] :
            ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) )
     != ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl185_012,plain,
    ~ ( '#sk1' @ '#sk3' ),
    inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl110]) ).

thf(zip_derived_cl187,plain,
    ( ( ^ [Y0: $i] :
          ( ( '#sk2' @ Y0 )
          & ( '#sk1' @ Y0 ) ) )
   != ( ^ [Y0: $i] : $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl185]) ).

thf(zip_derived_cl204,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl203,zip_derived_cl187]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET611^3 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E0cHlFG6PH true
% 0.14/0.34  % Computer : n022.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 : Sat Aug 26 08:54:25 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 HO mode
% 0.21/0.61  % Total configuration time : 828
% 0.21/0.61  % Estimated wc time : 1656
% 0.21/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79  % Solved by lams/35_full_unif4.sh.
% 0.21/0.79  % done 60 iterations in 0.037s
% 0.21/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.79  % SZS output start Refutation
% See solution above
% 0.21/0.79  
% 0.21/0.79  
% 0.21/0.79  % Terminating...
% 1.58/0.87  % Runner terminated.
% 1.58/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------