TSTP Solution File: ITP023_2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP023_2 : 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.tkHiA6ACka true

% Computer : n025.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 05:21:36 EDT 2023

% Result   : Theorem 0.83s 1.33s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   56 (  20 unt;  17 typ;   0 def)
%            Number of atoms       :   77 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  605 (  38   ~;  32   |;   1   &; 529   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  10 avg)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   66 (   0   ^;  66   !;   0   ?;  66   :)

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

thf(tp__ty_2Erealax_2Ereal_type,type,
    tp__ty_2Erealax_2Ereal: $tType ).

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

thf(c_2Epair_2E_2C_type,type,
    c_2Epair_2E_2C: del > del > $i ).

thf(c_2Ereal__topology_2Ecball_type,type,
    c_2Ereal__topology_2Ecball: $i ).

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

thf(c_2Epred__set_2ESUBSET_type,type,
    c_2Epred__set_2ESUBSET: del > $i ).

thf(sk__3_type,type,
    sk__3: tp__ty_2Erealax_2Ereal ).

thf(sk__4_type,type,
    sk__4: tp__ty_2Erealax_2Ereal ).

thf(c_2Ereal__topology_2Ebounded__def_type,type,
    c_2Ereal__topology_2Ebounded__def: $i ).

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

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

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

thf(inj__ty_2Erealax_2Ereal_type,type,
    inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).

thf(bool_type,type,
    bool: del ).

thf(ty_2Erealax_2Ereal_type,type,
    ty_2Erealax_2Ereal: del ).

thf(c_2Ereal__topology_2Eball_type,type,
    c_2Ereal__topology_2Eball: $i ).

thf(mem_c_2Epair_2E_2C,axiom,
    ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: del,X1: del] : ( mem @ ( c_2Epair_2E_2C @ X0 @ X1 ) @ ( arr @ X0 @ ( arr @ X1 @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[mem_c_2Epair_2E_2C]) ).

thf(ap_tp,axiom,
    ! [A: del,B: del,F: $i] :
      ( ( mem @ F @ ( arr @ A @ B ) )
     => ! [X: $i] :
          ( ( mem @ X @ A )
         => ( mem @ ( ap @ F @ X ) @ B ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl1654,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( mem @ ( ap @ ( c_2Epair_2E_2C @ X1 @ X0 ) @ X2 ) @ ( arr @ X0 @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
      | ~ ( mem @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl1859,plain,
    ! [X0: del,X1: del,X2: $i,X3: $i] :
      ( ~ ( mem @ X2 @ X1 )
      | ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ X1 @ X0 ) @ X2 ) @ X3 ) @ ( ty_2Epair_2Eprod @ X1 @ X0 ) )
      | ~ ( mem @ X3 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1654,zip_derived_cl0]) ).

thf(mem_c_2Ereal__topology_2Eball,axiom,
    mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ).

thf(zip_derived_cl10,plain,
    mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Ereal__topology_2Eball]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl1623,plain,
    ! [X0: $i] :
      ( ( mem @ ( ap @ c_2Ereal__topology_2Eball @ X0 ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
      | ~ ( mem @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).

thf(zip_derived_cl1888,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( mem @ X0 @ ty_2Erealax_2Ereal )
      | ~ ( mem @ X1 @ ty_2Erealax_2Ereal )
      | ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ X1 ) @ X0 ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl1623]) ).

thf(conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1e: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL]) ).

thf(conj_thm_2Ereal__topology_2EBOUNDED__SUBSET,axiom,
    ! [V0s: $i] :
      ( ( mem @ V0s @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
     => ! [V1t: $i] :
          ( ( mem @ V1t @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
         => ( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ V1t ) )
              & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ V0s ) @ V1t ) ) )
           => ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ V0s ) ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
      | ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X1 ) @ X0 ) )
      | ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) )
      | ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X1 ) )
      | ~ ( mem @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__SUBSET]) ).

thf(zip_derived_cl1678,plain,
    ! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
      ( ~ ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
      | ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) )
      | ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) )
      | ~ ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl48]) ).

thf(conj_thm_2Ereal__topology_2EBOUNDED__CBALL,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1e: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__CBALL]) ).

thf(zip_derived_cl1679,plain,
    ! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
      ( ~ ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
      | ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) )
      | ~ ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl49]) ).

thf(conj_thm_2Ereal__topology_2EBOUNDED__BALL,conjecture,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1e: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0x: tp__ty_2Erealax_2Ereal,V1e: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__BALL]) ).

thf(zip_derived_cl174,plain,
    ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sk__3 ) ) @ ( inj__ty_2Erealax_2Ereal @ sk__4 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4083,plain,
    ( ~ ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sk__3 ) ) @ ( inj__ty_2Erealax_2Ereal @ sk__4 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
    | ~ ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sk__3 ) ) @ ( inj__ty_2Erealax_2Ereal @ sk__4 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1679,zip_derived_cl174]) ).

thf(zip_derived_cl1859_003,plain,
    ! [X0: del,X1: del,X2: $i,X3: $i] :
      ( ~ ( mem @ X2 @ X1 )
      | ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ X1 @ X0 ) @ X2 ) @ X3 ) @ ( ty_2Epair_2Eprod @ X1 @ X0 ) )
      | ~ ( mem @ X3 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1654,zip_derived_cl0]) ).

thf(mem_c_2Ereal__topology_2Ecball,axiom,
    mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ).

thf(zip_derived_cl14,plain,
    mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Ereal__topology_2Ecball]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl1659,plain,
    ! [X0: $i] :
      ( ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ X0 ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
      | ~ ( mem @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl0]) ).

thf(zip_derived_cl1889,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( mem @ X0 @ ty_2Erealax_2Ereal )
      | ~ ( mem @ X1 @ ty_2Erealax_2Ereal )
      | ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ X1 ) @ X0 ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl1659]) ).

thf(zip_derived_cl4167,plain,
    ( ~ ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sk__3 ) ) @ ( inj__ty_2Erealax_2Ereal @ sk__4 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
    | ~ ( mem @ ( inj__ty_2Erealax_2Ereal @ sk__3 ) @ ty_2Erealax_2Ereal )
    | ~ ( mem @ ( inj__ty_2Erealax_2Ereal @ sk__4 ) @ ty_2Erealax_2Ereal ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4083,zip_derived_cl1889]) ).

thf(stp_inj_mem_ty_2Erealax_2Ereal,axiom,
    ! [X: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X ) @ ty_2Erealax_2Ereal ) ).

thf(zip_derived_cl6,plain,
    ! [X0: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal ),
    inference(cnf,[status(esa)],[stp_inj_mem_ty_2Erealax_2Ereal]) ).

thf(zip_derived_cl6_005,plain,
    ! [X0: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal ),
    inference(cnf,[status(esa)],[stp_inj_mem_ty_2Erealax_2Ereal]) ).

thf(zip_derived_cl4168,plain,
    ~ ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sk__3 ) ) @ ( inj__ty_2Erealax_2Ereal @ sk__4 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
    inference(demod,[status(thm)],[zip_derived_cl4167,zip_derived_cl6,zip_derived_cl6]) ).

thf(zip_derived_cl4171,plain,
    ( ~ ( mem @ ( inj__ty_2Erealax_2Ereal @ sk__3 ) @ ty_2Erealax_2Ereal )
    | ~ ( mem @ ( inj__ty_2Erealax_2Ereal @ sk__4 ) @ ty_2Erealax_2Ereal ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1888,zip_derived_cl4168]) ).

thf(zip_derived_cl6_006,plain,
    ! [X0: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal ),
    inference(cnf,[status(esa)],[stp_inj_mem_ty_2Erealax_2Ereal]) ).

thf(zip_derived_cl6_007,plain,
    ! [X0: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal ),
    inference(cnf,[status(esa)],[stp_inj_mem_ty_2Erealax_2Ereal]) ).

thf(zip_derived_cl4172,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4171,zip_derived_cl6,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : ITP023_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tkHiA6ACka true
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 15:37:09 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.23/0.69  % Total configuration time : 435
% 0.23/0.69  % Estimated wc time : 1092
% 0.23/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.83/1.33  % Solved by fo/fo3_bce.sh.
% 0.83/1.33  % BCE start: 175
% 0.83/1.33  % BCE eliminated: 2
% 0.83/1.33  % PE start: 173
% 0.83/1.33  logic: eq
% 0.83/1.33  % PE eliminated: 120
% 0.83/1.33  % done 305 iterations in 0.534s
% 0.83/1.33  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.83/1.33  % SZS output start Refutation
% See solution above
% 0.83/1.33  
% 0.83/1.33  
% 0.83/1.33  % Terminating...
% 0.83/1.42  % Runner terminated.
% 0.83/1.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------