TSTP Solution File: ITP020^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP020^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.05xagSjI8l true

% Computer : n027.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 05:21:29 EDT 2023

% Result   : Theorem 45.34s 6.41s
% Output   : Refutation 45.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   41 (  13 unt;  15 typ;   0 def)
%            Number of atoms       :   65 (   5 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  645 (  34   ~;  25   |;   6   &; 572   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  11 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   4 con; 0-5 aty)
%            Number of variables   :   39 (   0   ^;  35   !;   4   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(del_type,type,
    del: $tType ).

thf(c_2Ebool_2EIN_type,type,
    c_2Ebool_2EIN: del > $i ).

thf(sk__20_type,type,
    sk__20: $i > $i > $i > del > del > $i ).

thf(mem_type,type,
    mem: $i > del > $o ).

thf(p_type,type,
    p: $i > $o ).

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

thf(c_2Epred__set_2EUNIV_type,type,
    c_2Epred__set_2EUNIV: del > $i ).

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(arr_type,type,
    arr: del > del > del ).

thf(ty_2Epair_2Eprod_type,type,
    ty_2Epair_2Eprod: del > del > del ).

thf(bool_type,type,
    bool: del ).

thf(c_2Epred__set_2ECROSS_type,type,
    c_2Epred__set_2ECROSS: del > del > $i ).

thf(ty_2Enum_2Enum_type,type,
    ty_2Enum_2Enum: del ).

thf(c_2Ecombin_2Eo_type,type,
    c_2Ecombin_2Eo: del > del > del > $i ).

thf(c_2Epred__set_2EBIJ_type,type,
    c_2Epred__set_2EBIJ: del > del > $i ).

thf(conj_thm_2Eutil__prob_2ENUM__2D__BIJ,axiom,
    ? [V0f: $i] :
      ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
      & ( mem @ V0f @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ) ).

thf(zip_derived_cl320,plain,
    p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ sk__50 ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ),
    inference(cnf,[status(esa)],[conj_thm_2Eutil__prob_2ENUM__2D__BIJ]) ).

thf(conj_thm_2Epred__set_2ECROSS__UNIV,axiom,
    ! [A_27a: del,A_27b: del] :
      ( ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
      = ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) ) ).

thf(zip_derived_cl187,plain,
    ! [X0: del,X1: del] :
      ( ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ X0 @ X1 ) )
      = ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ X0 @ X1 ) @ ( c_2Epred__set_2EUNIV @ X0 ) ) @ ( c_2Epred__set_2EUNIV @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epred__set_2ECROSS__UNIV]) ).

thf(zip_derived_cl1455,plain,
    p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ sk__50 ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ),
    inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl187]) ).

thf(conj_thm_2Epred__set_2EBIJ__INV,axiom,
    ! [A_27a: del,A_27b: del,V0f: $i] :
      ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
     => ! [V1s: $i] :
          ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
         => ! [V2t: $i] :
              ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
             => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
               => ? [V3g: $i] :
                    ( ! [V5x: $i] :
                        ( ( mem @ V5x @ A_27b )
                       => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V5x ) @ V2t ) )
                         => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27b @ A_27a ) @ V0f ) @ V3g ) @ V5x )
                            = V5x ) ) )
                    & ! [V4x: $i] :
                        ( ( mem @ V4x @ A_27a )
                       => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) )
                         => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27b ) @ V3g ) @ V0f ) @ V4x )
                            = V4x ) ) )
                    & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27b @ A_27a ) @ V3g ) @ V2t ) @ V1s ) )
                    & ( mem @ V3g @ ( arr @ A_27b @ A_27a ) ) ) ) ) ) ) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: del,X2: del,X3: $i,X4: $i] :
      ( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ X1 @ X2 ) @ X3 ) @ X0 ) @ X4 ) )
      | ( mem @ ( sk__20 @ X4 @ X0 @ X3 @ X2 @ X1 ) @ ( arr @ X2 @ X1 ) )
      | ~ ( mem @ X4 @ ( arr @ X2 @ bool ) )
      | ~ ( mem @ X3 @ ( arr @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epred__set_2EBIJ__INV]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: del,X2: del,X3: $i,X4: $i] :
      ( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ X1 @ X2 ) @ X3 ) @ X0 ) @ X4 ) )
      | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ X2 @ X1 ) @ ( sk__20 @ X4 @ X0 @ X3 @ X2 @ X1 ) ) @ X4 ) @ X0 ) )
      | ~ ( mem @ X4 @ ( arr @ X2 @ bool ) )
      | ~ ( mem @ X3 @ ( arr @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epred__set_2EBIJ__INV]) ).

thf(conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
    ? [V0f: $i] :
      ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ V0f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) )
      & ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [V0f: $i] :
        ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ V0f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) )
        & ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV]) ).

thf(zip_derived_cl321,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) )
      | ~ ( mem @ X0 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl187_001,plain,
    ! [X0: del,X1: del] :
      ( ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ X0 @ X1 ) )
      = ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ X0 @ X1 ) @ ( c_2Epred__set_2EUNIV @ X0 ) ) @ ( c_2Epred__set_2EUNIV @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epred__set_2ECROSS__UNIV]) ).

thf(zip_derived_cl3300,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) )
      | ~ ( mem @ X0 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl187]) ).

thf(zip_derived_cl3311,plain,
    ! [X0: $i] :
      ( ~ ( mem @ X0 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) )
      | ~ ( mem @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ bool ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
      | ~ ( mem @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
      | ~ ( mem @ ( sk__20 @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ X0 @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl3300]) ).

thf(mem_c_2Epred__set_2EUNIV,axiom,
    ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EUNIV @ A_27a ) @ ( arr @ A_27a @ bool ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: del] : ( mem @ ( c_2Epred__set_2EUNIV @ X0 ) @ ( arr @ X0 @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2EUNIV]) ).

thf(zip_derived_cl50_002,plain,
    ! [X0: del] : ( mem @ ( c_2Epred__set_2EUNIV @ X0 ) @ ( arr @ X0 @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2EUNIV]) ).

thf(zip_derived_cl3350,plain,
    ! [X0: $i] :
      ( ~ ( mem @ X0 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
      | ~ ( mem @ ( sk__20 @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ X0 @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3311,zip_derived_cl50,zip_derived_cl50]) ).

thf(zip_derived_cl4792,plain,
    ! [X0: $i] :
      ( ~ ( mem @ X0 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) )
      | ~ ( mem @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ bool ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
      | ~ ( mem @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
      | ~ ( mem @ X0 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl3350]) ).

thf(zip_derived_cl50_003,plain,
    ! [X0: del] : ( mem @ ( c_2Epred__set_2EUNIV @ X0 ) @ ( arr @ X0 @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2EUNIV]) ).

thf(zip_derived_cl50_004,plain,
    ! [X0: del] : ( mem @ ( c_2Epred__set_2EUNIV @ X0 ) @ ( arr @ X0 @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2EUNIV]) ).

thf(zip_derived_cl4794,plain,
    ! [X0: $i] :
      ( ~ ( mem @ X0 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
      | ~ ( mem @ X0 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4792,zip_derived_cl50,zip_derived_cl50]) ).

thf(zip_derived_cl4795,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ X0 ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
      | ~ ( mem @ X0 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4794]) ).

thf(zip_derived_cl4798,plain,
    ~ ( mem @ sk__50 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl4795]) ).

thf(zip_derived_cl319,plain,
    mem @ sk__50 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ),
    inference(cnf,[status(esa)],[conj_thm_2Eutil__prob_2ENUM__2D__BIJ]) ).

thf(zip_derived_cl4804,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4798,zip_derived_cl319]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP020^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.05xagSjI8l true
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 : Sun Aug 27 13:47:38 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
% 0.14/0.36  % Running in HO mode
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 18.99/3.07  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 45.34/6.41  % Solved by lams/40_c_ic.sh.
% 45.34/6.41  % done 614 iterations in 5.634s
% 45.34/6.41  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 45.34/6.41  % SZS output start Refutation
% See solution above
% 45.34/6.42  
% 45.34/6.42  
% 45.34/6.42  % Terminating...
% 45.34/6.49  % Runner terminated.
% 45.34/6.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------