TSTP Solution File: SET624^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET624^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.p8whVaPOpd true

% Computer : n008.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 16:15:07 EDT 2023

% Result   : Theorem 1.45s 0.82s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   80 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :  305 (   2 equ;   0 cnn)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  612 (  84   ~; 121   |;  68   &; 272   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   7 con; 0-2 aty)
%                                         (   6  !!;  55  ??;   0 @@+;   0 @@-)
%            Number of variables   :   85 (  61   ^;  18   !;   6   ?;  85   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf('#sk6_type',type,
    '#sk6': a ).

thf('#sk4_type',type,
    '#sk4': a ).

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

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

thf('#sk3_type',type,
    '#sk3': a > $o ).

thf('#form5_type',type,
    '#form5': $o ).

thf('#sk7_type',type,
    '#sk7': a ).

thf(cBOOL_PROP_100_pme,conjecture,
    ! [X: a > $o,Y: a > $o,Z: a > $o] :
      ( ? [Xx: a] :
          ( ( X @ Xx )
          & ( ( Y @ Xx )
            | ( Z @ Xx ) ) )
    <=> ( ? [Xx: a] :
            ( ( X @ Xx )
            & ( Z @ Xx ) )
        | ? [Xx: a] :
            ( ( X @ Xx )
            & ( Y @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o,Z: a > $o] :
        ( ? [Xx: a] :
            ( ( X @ Xx )
            & ( ( Y @ Xx )
              | ( Z @ Xx ) ) )
      <=> ( ? [Xx: a] :
              ( ( X @ Xx )
              & ( Z @ Xx ) )
          | ? [Xx: a] :
              ( ( X @ Xx )
              & ( Y @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_100_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( !!
              @ ^ [Y2: a > $o] :
                  ( ( ??
                    @ ^ [Y3: a] :
                        ( ( Y0 @ Y3 )
                        & ( ( Y1 @ Y3 )
                          | ( Y2 @ Y3 ) ) ) )
                <=> ( ( ??
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y3 )
                          & ( Y2 @ Y3 ) ) )
                    | ( ??
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y3 )
                          & ( Y1 @ Y3 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( ( ??
                @ ^ [Y2: a] :
                    ( ( '#sk1' @ Y2 )
                    & ( ( Y0 @ Y2 )
                      | ( Y1 @ Y2 ) ) ) )
            <=> ( ( ??
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y2 )
                      & ( Y1 @ Y2 ) ) )
                | ( ??
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y2 )
                      & ( Y0 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( ( ??
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y1 )
                & ( ( '#sk2' @ Y1 )
                  | ( Y0 @ Y1 ) ) ) )
        <=> ( ( ??
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y1 )
                  & ( Y0 @ Y1 ) ) )
            | ( ??
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y1 )
                  & ( '#sk2' @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( ( '#sk2' @ Y0 )
              | ( '#sk3' @ Y0 ) ) ) )
    <=> ( ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk3' @ Y0 ) ) )
        | ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk2' @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( ( '#sk2' @ Y0 )
            | ( '#sk3' @ Y0 ) ) ) )
   != ( ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( '#sk3' @ Y0 ) ) )
      | ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( '#sk2' @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( ( '#sk2' @ Y0 )
            | ( '#sk3' @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ( ( ( '#sk1' @ '#sk4' )
      & ( ( '#sk2' @ '#sk4' )
        | ( '#sk3' @ '#sk4' ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl8_001,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl10,plain,
    ( ~ '#form5'
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl12,plain,
    ( '#form5'
    | ( '#sk1' @ '#sk4' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).

thf(zip_derived_cl10_002,plain,
    ( ~ '#form5'
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl11,plain,
    ( ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) )
    | ~ '#form5' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14,plain,
    ( ( ( '#sk1' @ '#sk6' )
      & ( '#sk3' @ '#sk6' ) )
    | ~ '#form5'
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl17,plain,
    ( ( '#sk3' @ '#sk6' )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) )
    | ~ '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl19,plain,
    ( ( ( '#sk1' @ '#sk7' )
      & ( '#sk2' @ '#sk7' ) )
    | ~ '#form5'
    | ( '#sk3' @ '#sk6' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl23,plain,
    ( ( '#sk2' @ '#sk7' )
    | ( '#sk3' @ '#sk6' )
    | ~ '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl16,plain,
    ( ( '#sk1' @ '#sk6' )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) )
    | ~ '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl18,plain,
    ( ( ( '#sk1' @ '#sk7' )
      & ( '#sk2' @ '#sk7' ) )
    | ~ '#form5'
    | ( '#sk1' @ '#sk6' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl21,plain,
    ( ( '#sk2' @ '#sk7' )
    | ( '#sk1' @ '#sk6' )
    | ~ '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl4_003,plain,
    ( ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( ( '#sk2' @ Y0 )
            | ( '#sk3' @ Y0 ) ) ) )
   != ( ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( '#sk3' @ Y0 ) ) )
      | ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( '#sk2' @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( ( '#sk2' @ Y0 )
              | ( '#sk3' @ Y0 ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk3' @ Y0 ) ) )
        | ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk2' @ Y0 ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6_004,plain,
    ( ~ ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( ( '#sk2' @ Y0 )
              | ( '#sk3' @ Y0 ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk3' @ Y0 ) ) )
        | ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk2' @ Y0 ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl24,plain,
    ( '#form5'
    | ~ ( ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk3' @ Y0 ) ) )
        | ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk2' @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl10_005,plain,
    ( ~ '#form5'
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl27,plain,
    ( ~ '#form5'
    | ~ ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( ( '#sk2' @ Y0 )
              | ( '#sk3' @ Y0 ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl6,zip_derived_cl24,zip_derived_cl10]) ).

thf(zip_derived_cl28,plain,
    ! [X2: a] :
      ( ~ ( ( '#sk1' @ X2 )
          & ( ( '#sk2' @ X2 )
            | ( '#sk3' @ X2 ) ) )
      | ~ '#form5' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl31,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ~ ( ( '#sk2' @ X2 )
          | ( '#sk3' @ X2 ) )
      | ~ '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl34,plain,
    ! [X2: a] :
      ( ~ ( '#sk2' @ X2 )
      | ~ '#form5'
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl46,plain,
    ( ~ '#form5'
    | ( '#sk1' @ '#sk6' )
    | ~ ( '#sk1' @ '#sk7' )
    | ~ '#form5' ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl34]) ).

thf(zip_derived_cl50,plain,
    ( ~ ( '#sk1' @ '#sk7' )
    | ( '#sk1' @ '#sk6' )
    | ~ '#form5' ),
    inference(simplify,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl20,plain,
    ( ( '#sk1' @ '#sk7' )
    | ( '#sk1' @ '#sk6' )
    | ~ '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl71,plain,
    ( ~ '#form5'
    | ( '#sk1' @ '#sk6' ) ),
    inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl20]) ).

thf(zip_derived_cl35,plain,
    ! [X2: a] :
      ( ~ ( '#sk3' @ X2 )
      | ~ '#form5'
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl24_006,plain,
    ( '#form5'
    | ~ ( ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk3' @ Y0 ) ) )
        | ( ??
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 )
              & ( '#sk2' @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl25,plain,
    ( ~ ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( '#sk3' @ Y0 ) ) )
    | '#form5' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl29,plain,
    ! [X2: a] :
      ( ~ ( ( '#sk1' @ X2 )
          & ( '#sk3' @ X2 ) )
      | '#form5' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl32,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ~ ( '#sk3' @ X2 )
      | '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl52,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ~ ( '#sk3' @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl32]) ).

thf(zip_derived_cl72,plain,
    ( ~ '#form5'
    | ~ ( '#sk3' @ '#sk6' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl52]) ).

thf(zip_derived_cl80,plain,
    ( ~ '#form5'
    | ( '#sk2' @ '#sk7' )
    | ~ '#form5' ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl72]) ).

thf(zip_derived_cl84,plain,
    ( ( '#sk2' @ '#sk7' )
    | ~ '#form5' ),
    inference(simplify,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl34_007,plain,
    ! [X2: a] :
      ( ~ ( '#sk2' @ X2 )
      | ~ '#form5'
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl88,plain,
    ( ~ '#form5'
    | ~ ( '#sk1' @ '#sk7' )
    | ~ '#form5' ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl34]) ).

thf(zip_derived_cl90,plain,
    ( ~ ( '#sk1' @ '#sk7' )
    | ~ '#form5' ),
    inference(simplify,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl22,plain,
    ( ( '#sk1' @ '#sk7' )
    | ( '#sk3' @ '#sk6' )
    | ~ '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl72_008,plain,
    ( ~ '#form5'
    | ~ ( '#sk3' @ '#sk6' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl52]) ).

thf(zip_derived_cl81,plain,
    ( ~ '#form5'
    | ( '#sk1' @ '#sk7' )
    | ~ '#form5' ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl72]) ).

thf(zip_derived_cl85,plain,
    ( ( '#sk1' @ '#sk7' )
    | ~ '#form5' ),
    inference(simplify,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl94,plain,
    ~ '#form5',
    inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl85]) ).

thf(zip_derived_cl95,plain,
    '#sk1' @ '#sk4',
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl94]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
            & ( '#sk2' @ Y0 ) ) )
    | '#form5' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl30,plain,
    ! [X2: a] :
      ( ~ ( ( '#sk1' @ X2 )
          & ( '#sk2' @ X2 ) )
      | '#form5' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl33,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ~ ( '#sk2' @ X2 )
      | '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl94_009,plain,
    ~ '#form5',
    inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl85]) ).

thf(zip_derived_cl99,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ~ ( '#sk2' @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl94]) ).

thf(zip_derived_cl101,plain,
    ~ ( '#sk2' @ '#sk4' ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl99]) ).

thf(zip_derived_cl9,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk3' @ '#sk4' )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl10_010,plain,
    ( ~ '#form5'
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk3' @ Y0 ) ) )
    | ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          & ( '#sk2' @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl13,plain,
    ( '#form5'
    | ( '#sk2' @ '#sk4' )
    | ( '#sk3' @ '#sk4' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).

thf(zip_derived_cl15,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk3' @ '#sk4' )
    | '#form5' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl12_011,plain,
    ( '#form5'
    | ( '#sk1' @ '#sk4' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).

thf(zip_derived_cl32_012,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ~ ( '#sk3' @ X2 )
      | '#form5' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl39,plain,
    ( '#form5'
    | '#form5'
    | ~ ( '#sk3' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl32]) ).

thf(zip_derived_cl44,plain,
    ( ~ ( '#sk3' @ '#sk4' )
    | '#form5' ),
    inference(simplify,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl62,plain,
    ( '#form5'
    | ( '#sk2' @ '#sk4' )
    | '#form5' ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl44]) ).

thf(zip_derived_cl65,plain,
    ( ( '#sk2' @ '#sk4' )
    | '#form5' ),
    inference(simplify,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl94_013,plain,
    ~ '#form5',
    inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl85]) ).

thf(zip_derived_cl97,plain,
    '#sk2' @ '#sk4',
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl94]) ).

thf(zip_derived_cl105,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl97]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET624^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.p8whVaPOpd true
% 0.14/0.34  % Computer : n008.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 09:38:18 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
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /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
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.45/0.82  % Solved by lams/20_acsne_simpl.sh.
% 1.45/0.82  % done 35 iterations in 0.030s
% 1.45/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.45/0.82  % SZS output start Refutation
% See solution above
% 1.45/0.83  
% 1.45/0.83  
% 1.45/0.83  % Terminating...
% 1.45/0.87  % Runner terminated.
% 1.82/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------