TSTP Solution File: ITP020^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP020^2 : 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.LuMLV5szxl true

% Computer : n015.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 05:21:28 EDT 2023

% Result   : Theorem 18.00s 2.94s
% Output   : Refutation 18.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   44 (  13 unt;  13 typ;   0 def)
%            Number of atoms       :   67 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  694 (  31   ~;  26   |;   5   &; 627   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  11 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   4 con; 0-4 aty)
%            Number of variables   :   48 (   0   ^;  43   !;   5   ?;  48   :)

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

thf(sk__24_type,type,
    sk__24: $i > $i > del > del > $i ).

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

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

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

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

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

thf(ty_2Enum_2Enum_type,type,
    ty_2Enum_2Enum: del ).

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

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

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

thf(sk__25_type,type,
    sk__25: $i ).

thf(bool_type,type,
    bool: del ).

thf(mem_c_2Epred__set_2ECROSS,axiom,
    ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: del,X1: del] : ( mem @ ( c_2Epred__set_2ECROSS @ X0 @ X1 ) @ ( arr @ ( arr @ X0 @ bool ) @ ( arr @ ( arr @ X1 @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ X0 @ X1 ) @ bool ) ) ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2ECROSS]) ).

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_cl269,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( mem @ ( ap @ ( c_2Epred__set_2ECROSS @ X1 @ X0 ) @ X2 ) @ ( arr @ ( arr @ X0 @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ X1 @ X0 ) @ bool ) ) )
      | ~ ( mem @ X2 @ ( arr @ X1 @ bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,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_cl1127,plain,
    ! [X0: del,X1: del,X2: $i,X3: $i] :
      ( ~ ( mem @ X2 @ ( arr @ X1 @ bool ) )
      | ( mem @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ X1 @ X0 ) @ X2 ) @ X3 ) @ ( arr @ ( ty_2Epair_2Eprod @ X1 @ X0 ) @ bool ) )
      | ~ ( mem @ X3 @ ( arr @ X0 @ bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl0]) ).

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_cl237,plain,
    p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ sk__25 ) @ ( 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_2EBIJ__SYM,axiom,
    ! [A_27a: del,A_27b: del,V0s: $i] :
      ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
     => ! [V1t: $i] :
          ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
         => ( ? [V2f: $i] :
                ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ V0s ) @ V1t ) )
                & ( mem @ V2f @ ( arr @ A_27a @ A_27b ) ) )
          <=> ? [V3g: $i] :
                ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27b @ A_27a ) @ V3g ) @ V1t ) @ V0s ) )
                & ( mem @ V3g @ ( arr @ A_27b @ A_27a ) ) ) ) ) ) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: del,X2: del,X3: $i,X4: $i] :
      ( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ X2 @ X1 ) @ X3 ) @ X4 ) @ X0 ) )
      | ~ ( mem @ X3 @ ( arr @ X2 @ X1 ) )
      | ( mem @ ( sk__24 @ X0 @ X4 @ X1 @ X2 ) @ ( arr @ X1 @ X2 ) )
      | ~ ( mem @ X4 @ ( arr @ X2 @ bool ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epred__set_2EBIJ__SYM]) ).

thf(zip_derived_cl919,plain,
    ( ~ ( mem @ ( 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 ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
    | ( mem @ ( sk__24 @ ( 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 ) ) @ 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 ) ) )
    | ~ ( mem @ sk__25 @ ( 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 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl109]) ).

thf(zip_derived_cl236,plain,
    mem @ sk__25 @ ( 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(mem_c_2Epred__set_2EUNIV,axiom,
    ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EUNIV @ A_27a ) @ ( arr @ A_27a @ bool ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: del] : ( mem @ ( c_2Epred__set_2EUNIV @ X0 ) @ ( arr @ X0 @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2EUNIV]) ).

thf(zip_derived_cl921,plain,
    ( ~ ( mem @ ( 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 ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
    | ( mem @ ( sk__24 @ ( 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 ) ) @ 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_cl919,zip_derived_cl236,zip_derived_cl3]) ).

thf(zip_derived_cl237_002,plain,
    p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ sk__25 ) @ ( 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(zip_derived_cl108,plain,
    ! [X0: $i,X1: del,X2: del,X3: $i,X4: $i] :
      ( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
      | ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ X2 @ X1 ) @ X3 ) @ X4 ) @ X0 ) )
      | ~ ( mem @ X3 @ ( arr @ X2 @ X1 ) )
      | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ X1 @ X2 ) @ ( sk__24 @ X0 @ X4 @ X1 @ X2 ) ) @ X0 ) @ X4 ) )
      | ~ ( mem @ X4 @ ( arr @ X2 @ bool ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Epred__set_2EBIJ__SYM]) ).

thf(zip_derived_cl907,plain,
    ( ~ ( mem @ ( 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 ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
    | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( sk__24 @ ( 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 ) ) @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( 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 @ sk__25 @ ( 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 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl108]) ).

thf(zip_derived_cl236_003,plain,
    mem @ sk__25 @ ( 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_cl3_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_cl912,plain,
    ( ~ ( mem @ ( 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 ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
    | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( sk__24 @ ( 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 ) ) @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( 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 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl907,zip_derived_cl236,zip_derived_cl3]) ).

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_cl238,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_cl4613,plain,
    ( ~ ( mem @ ( 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 ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
    | ~ ( mem @ ( sk__24 @ ( 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 ) ) @ 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_cl912,zip_derived_cl238]) ).

thf(zip_derived_cl4729,plain,
    ~ ( mem @ ( 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 ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) ),
    inference(clc,[status(thm)],[zip_derived_cl921,zip_derived_cl4613]) ).

thf(zip_derived_cl6002,plain,
    ( ~ ( mem @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ bool ) )
    | ~ ( mem @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1127,zip_derived_cl4729]) ).

thf(zip_derived_cl3_005,plain,
    ! [X0: del] : ( mem @ ( c_2Epred__set_2EUNIV @ X0 ) @ ( arr @ X0 @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2EUNIV]) ).

thf(zip_derived_cl3_006,plain,
    ! [X0: del] : ( mem @ ( c_2Epred__set_2EUNIV @ X0 ) @ ( arr @ X0 @ bool ) ),
    inference(cnf,[status(esa)],[mem_c_2Epred__set_2EUNIV]) ).

thf(zip_derived_cl6094,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6002,zip_derived_cl3,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP020^2 : 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.LuMLV5szxl true
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 16:01:09 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.42/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.42/0.84  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 18.00/2.94  % Solved by lams/40_noforms.sh.
% 18.00/2.94  % done 1171 iterations in 2.141s
% 18.00/2.94  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.00/2.94  % SZS output start Refutation
% See solution above
% 18.00/2.95  
% 18.00/2.95  
% 18.00/2.95  % Terminating...
% 18.56/3.02  % Runner terminated.
% 18.56/3.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------