TSTP Solution File: NUM858+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM858+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9vBQtXBThw true

% Computer : n021.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 12:44:34 EDT 2023

% Result   : Theorem 84.60s 12.78s
% Output   : Refutation 84.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  259 (  40 unt;  12 typ;   0 def)
%            Number of atoms       :  557 ( 156 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 1623 ( 119   ~; 294   |;   5   &;1194   @)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :  297 (   0   ^; 297   !;   0   ?; 297   :)

% Comments : 
%------------------------------------------------------------------------------
thf(model_ub_type,type,
    model_ub: $i > $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(model_max_type,type,
    model_max: $i > $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(minsol_model_ub_type,type,
    minsol_model_ub: $i > $i > $i > $o ).

thf(lesseq_type,type,
    lesseq: $i > $i > $o ).

thf(ub_type,type,
    ub: $i > $i > $i > $o ).

thf(minsol_model_max_type,type,
    minsol_model_max: $i > $i > $i > $o ).

thf(max_type,type,
    max: $i > $i > $i ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i > $i ).

thf(sk__type,type,
    sk_: $i > $i > $i > $i ).

thf(max_is_ub_1,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( minsol_model_ub @ X @ Y @ Z )
    <=> ( minsol_model_max @ X @ Y @ Z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,Z: $i] :
        ( ( minsol_model_ub @ X @ Y @ Z )
      <=> ( minsol_model_max @ X @ Y @ Z ) ),
    inference('cnf.neg',[status(esa)],[max_is_ub_1]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( minsol_model_max @ sk__2 @ sk__3 @ sk__4 )
    | ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ( ( minsol_model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( minsol_model_ub @ sk__2 @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(lesseq_ref,axiom,
    ! [X: $i] : ( lesseq @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( lesseq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[lesseq_ref]) ).

thf(zip_derived_cl25_001,plain,
    ( ( minsol_model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( minsol_model_ub @ sk__2 @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(lesseq_total,axiom,
    ! [X: $i,Y: $i] :
      ( ( lesseq @ Y @ X )
      | ( lesseq @ X @ Y ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( lesseq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[lesseq_total]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i] : ( lesseq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[lesseq_ref]) ).

thf(ub,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ub @ X @ Y @ Z )
    <=> ( ( lesseq @ X @ Z )
        & ( lesseq @ Y @ Z ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ub @ X0 @ X1 @ X2 )
      | ~ ( lesseq @ X1 @ X2 )
      | ~ ( lesseq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ub]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i] :
      ( ( ub @ X1 @ X0 @ X0 )
      | ~ ( lesseq @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( ub @ X1 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl67]) ).

thf(model_ub_1,axiom,
    ! [X: $i,Y: $i,N: $i] :
      ( ( model_ub @ X @ Y @ N )
    <=> ( ub @ X @ Y @ N ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model_ub @ X0 @ X1 @ X2 )
      | ~ ( ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_ub_1]) ).

thf(zip_derived_cl234,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( model_ub @ X1 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl16]) ).

thf(minsol_model_ub,axiom,
    ! [X: $i,Y: $i,N: $i] :
      ( ( minsol_model_ub @ X @ Y @ N )
    <=> ( ( model_ub @ X @ Y @ N )
        & ! [Z: $i] :
            ( ( model_ub @ X @ Y @ Z )
           => ( lesseq @ N @ Z ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( model_ub @ X0 @ X1 @ X2 )
      | ( lesseq @ X3 @ X2 )
      | ~ ( minsol_model_ub @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[minsol_model_ub]) ).

thf(zip_derived_cl236,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( lesseq @ X2 @ X0 )
      | ~ ( minsol_model_ub @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl22]) ).

thf(zip_derived_cl2700,plain,
    ( ( minsol_model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( lesseq @ sk__4 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl236]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( lesseq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[lesseq_total]) ).

thf(max_2,axiom,
    ! [X: $i,Y: $i] :
      ( ~ ( lesseq @ X @ Y )
      | ( ( max @ X @ Y )
        = Y ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X0 @ X1 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_2]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(model_max_1,axiom,
    ! [X: $i,Y: $i,N: $i] :
      ( ( model_max @ X @ Y @ N )
    <=> ( N
        = ( max @ X @ Y ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model_max @ X0 @ X1 @ X2 )
      | ( X2
       != ( max @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[model_max_1]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] : ( model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( model_max @ X1 @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl46]) ).

thf(minsol_model_max,axiom,
    ! [X: $i,Y: $i,N: $i] :
      ( ( minsol_model_max @ X @ Y @ N )
    <=> ( ( model_max @ X @ Y @ N )
        & ! [Z: $i] :
            ( ( model_max @ X @ Y @ Z )
           => ( lesseq @ N @ Z ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( model_max @ X0 @ X1 @ X2 )
      | ( lesseq @ X3 @ X2 )
      | ~ ( minsol_model_max @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[minsol_model_max]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( lesseq @ X2 @ X0 )
      | ~ ( minsol_model_max @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl18]) ).

thf(zip_derived_cl2701,plain,
    ( ( lesseq @ sk__4 @ sk__3 )
    | ( lesseq @ sk__3 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2700,zip_derived_cl149]) ).

thf(zip_derived_cl25_004,plain,
    ( ( minsol_model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( minsol_model_ub @ sk__2 @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model_ub @ X0 @ X1 @ X2 )
      | ~ ( minsol_model_ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[minsol_model_ub]) ).

thf(zip_derived_cl53,plain,
    ( ( minsol_model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( model_ub @ sk__2 @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl21]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model_max @ X0 @ X1 @ X2 )
      | ~ ( minsol_model_max @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[minsol_model_max]) ).

thf(zip_derived_cl55,plain,
    ( ( model_ub @ sk__2 @ sk__3 @ sk__4 )
    | ( model_max @ sk__2 @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl17]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ub @ X0 @ X1 @ X2 )
      | ~ ( model_ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_ub_1]) ).

thf(zip_derived_cl73,plain,
    ( ( model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( ub @ sk__2 @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl15]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ~ ( ub @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ub]) ).

thf(zip_derived_cl84,plain,
    ( ( model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( max @ X0 @ X1 ) )
      | ~ ( model_max @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_max_1]) ).

thf(zip_derived_cl96,plain,
    ( ( lesseq @ sk__3 @ sk__4 )
    | ( sk__4
      = ( max @ sk__2 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl13]) ).

thf(zip_derived_cl40_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(zip_derived_cl100,plain,
    ( ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl40]) ).

thf(lesseq_antisymmetric,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( lesseq @ X @ Y )
        & ( lesseq @ Y @ X ) )
     => ( X = Y ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( lesseq @ X0 @ X1 )
      | ~ ( lesseq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[lesseq_antisymmetric]) ).

thf(zip_derived_cl131,plain,
    ( ( sk__4 = sk__3 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( sk__4 = sk__3 )
    | ~ ( lesseq @ sk__4 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl2]) ).

thf(zip_derived_cl138,plain,
    ( ~ ( lesseq @ sk__4 @ sk__3 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl131]) ).

thf(zip_derived_cl2717,plain,
    ( ( lesseq @ sk__3 @ sk__2 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2701,zip_derived_cl138]) ).

thf(zip_derived_cl2721,plain,
    ( ( sk__4 = sk__3 )
    | ( lesseq @ sk__3 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2717]) ).

thf(zip_derived_cl12_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ub @ X0 @ X1 @ X2 )
      | ~ ( lesseq @ X1 @ X2 )
      | ~ ( lesseq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ub]) ).

thf(zip_derived_cl2728,plain,
    ! [X0: $i] :
      ( ( sk__4 = sk__3 )
      | ( ub @ X0 @ sk__3 @ sk__2 )
      | ~ ( lesseq @ X0 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2721,zip_derived_cl12]) ).

thf(zip_derived_cl3440,plain,
    ( ( sk__4 = sk__3 )
    | ( ub @ sk__2 @ sk__3 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2728]) ).

thf(zip_derived_cl16_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model_ub @ X0 @ X1 @ X2 )
      | ~ ( ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_ub_1]) ).

thf(zip_derived_cl3460,plain,
    ( ( sk__4 = sk__3 )
    | ( model_ub @ sk__2 @ sk__3 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3440,zip_derived_cl16]) ).

thf(zip_derived_cl22_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( model_ub @ X0 @ X1 @ X2 )
      | ( lesseq @ X3 @ X2 )
      | ~ ( minsol_model_ub @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[minsol_model_ub]) ).

thf(zip_derived_cl3466,plain,
    ! [X0: $i] :
      ( ( sk__4 = sk__3 )
      | ( lesseq @ X0 @ sk__2 )
      | ~ ( minsol_model_ub @ sk__2 @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3460,zip_derived_cl22]) ).

thf(zip_derived_cl3472,plain,
    ( ( minsol_model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( sk__4 = sk__3 )
    | ( lesseq @ sk__4 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl3466]) ).

thf(zip_derived_cl2721_009,plain,
    ( ( sk__4 = sk__3 )
    | ( lesseq @ sk__3 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2717]) ).

thf(max_1,axiom,
    ! [X: $i,Y: $i] :
      ( ~ ( lesseq @ Y @ X )
      | ( ( max @ X @ Y )
        = X ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl2725,plain,
    ( ( sk__4 = sk__3 )
    | ( ( max @ sk__2 @ sk__3 )
      = sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2721,zip_derived_cl8]) ).

thf(zip_derived_cl46_010,plain,
    ! [X0: $i,X1: $i] : ( model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl18_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( model_max @ X0 @ X1 @ X2 )
      | ( lesseq @ X3 @ X2 )
      | ~ ( minsol_model_max @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[minsol_model_max]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X2 @ ( max @ X1 @ X0 ) )
      | ~ ( minsol_model_max @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl18]) ).

thf(zip_derived_cl2738,plain,
    ! [X0: $i] :
      ( ( sk__4 = sk__3 )
      | ( lesseq @ X0 @ sk__2 )
      | ~ ( minsol_model_max @ sk__2 @ sk__3 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2725,zip_derived_cl76]) ).

thf(zip_derived_cl3473,plain,
    ( ( lesseq @ sk__4 @ sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3472,zip_derived_cl2738]) ).

thf(zip_derived_cl73_012,plain,
    ( ( model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( ub @ sk__2 @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl15]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ~ ( ub @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ub]) ).

thf(zip_derived_cl83,plain,
    ( ( model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl10]) ).

thf(zip_derived_cl13_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( max @ X0 @ X1 ) )
      | ~ ( model_max @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_max_1]) ).

thf(zip_derived_cl86,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( sk__4
      = ( max @ sk__2 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl13]) ).

thf(zip_derived_cl40_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(zip_derived_cl90,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl40]) ).

thf(zip_derived_cl86_015,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( sk__4
      = ( max @ sk__2 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl13]) ).

thf(zip_derived_cl8_016,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl89,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ~ ( lesseq @ sk__3 @ sk__2 )
    | ( sk__4 = sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl8]) ).

thf(zip_derived_cl163,plain,
    ( ( sk__4 = sk__3 )
    | ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__4 )
    | ( sk__4 = sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl89]) ).

thf(zip_derived_cl164,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__2 @ sk__4 )
    | ( sk__4 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl163]) ).

thf(zip_derived_cl2_017,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( lesseq @ X0 @ X1 )
      | ~ ( lesseq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[lesseq_antisymmetric]) ).

thf(zip_derived_cl166,plain,
    ( ( sk__4 = sk__3 )
    | ( sk__4 = sk__2 )
    | ( sk__4 = sk__2 )
    | ~ ( lesseq @ sk__4 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl2]) ).

thf(zip_derived_cl174,plain,
    ( ~ ( lesseq @ sk__4 @ sk__2 )
    | ( sk__4 = sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl166]) ).

thf(zip_derived_cl3490,plain,
    ( ( sk__4 = sk__3 )
    | ( sk__4 = sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3473,zip_derived_cl174]) ).

thf(zip_derived_cl3495,plain,
    ( ( sk__4 = sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3490]) ).

thf(zip_derived_cl86_018,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( sk__4
      = ( max @ sk__2 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl13]) ).

thf(zip_derived_cl3_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( lesseq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[lesseq_total]) ).

thf(zip_derived_cl8_020,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( ( max @ X0 @ X1 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).

thf(zip_derived_cl95,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__3 )
    | ( sk__4 = sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl33]) ).

thf(zip_derived_cl3513,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__2 @ sk__3 )
    | ( lesseq @ sk__2 @ sk__3 )
    | ( sk__3 = sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3495,zip_derived_cl95]) ).

thf(zip_derived_cl3611,plain,
    ( ( sk__3 = sk__2 )
    | ( lesseq @ sk__2 @ sk__3 )
    | ( sk__4 = sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3513]) ).

thf(zip_derived_cl3495_021,plain,
    ( ( sk__4 = sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3490]) ).

thf(zip_derived_cl3609,plain,
    ( ( sk__3 != sk__2 )
    | ( sk__4 = sk__2 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl3495]) ).

thf(zip_derived_cl3694,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__2 @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3611,zip_derived_cl3609]) ).

thf(zip_derived_cl67_022,plain,
    ! [X0: $i,X1: $i] :
      ( ( ub @ X1 @ X0 @ X0 )
      | ~ ( lesseq @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl12]) ).

thf(zip_derived_cl3703,plain,
    ( ( sk__4 = sk__2 )
    | ( ub @ sk__2 @ sk__3 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3694,zip_derived_cl67]) ).

thf(zip_derived_cl16_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model_ub @ X0 @ X1 @ X2 )
      | ~ ( ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_ub_1]) ).

thf(zip_derived_cl3748,plain,
    ( ( sk__4 = sk__2 )
    | ( model_ub @ sk__2 @ sk__3 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3703,zip_derived_cl16]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( minsol_model_ub @ X0 @ X1 @ X2 )
      | ( model_ub @ X0 @ X1 @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( model_ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[minsol_model_ub]) ).

thf(zip_derived_cl3773,plain,
    ( ( sk__4 = sk__2 )
    | ( minsol_model_ub @ sk__2 @ sk__3 @ sk__3 )
    | ( model_ub @ sk__2 @ sk__3 @ ( sk__1 @ sk__3 @ sk__3 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3748,zip_derived_cl23]) ).

thf(zip_derived_cl3694_024,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__2 @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3611,zip_derived_cl3609]) ).

thf(zip_derived_cl9_025,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X0 @ X1 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_2]) ).

thf(zip_derived_cl3699,plain,
    ( ( sk__4 = sk__2 )
    | ( ( max @ sk__2 @ sk__3 )
      = sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3694,zip_derived_cl9]) ).

thf(zip_derived_cl46_026,plain,
    ! [X0: $i,X1: $i] : ( model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( minsol_model_max @ X0 @ X1 @ X2 )
      | ( model_max @ X0 @ X1 @ ( sk_ @ X2 @ X1 @ X0 ) )
      | ~ ( model_max @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[minsol_model_max]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) )
      | ( model_max @ X1 @ X0 @ ( sk_ @ ( max @ X1 @ X0 ) @ X0 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl19]) ).

thf(zip_derived_cl13_027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( max @ X0 @ X1 ) )
      | ~ ( model_max @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_max_1]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i,X1: $i] :
      ( ( minsol_model_max @ X0 @ X1 @ ( max @ X0 @ X1 ) )
      | ( ( sk_ @ ( max @ X0 @ X1 ) @ X1 @ X0 )
        = ( max @ X0 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl13]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( minsol_model_max @ X0 @ X1 @ X2 )
      | ~ ( lesseq @ X2 @ ( sk_ @ X2 @ X1 @ X0 ) )
      | ~ ( model_max @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[minsol_model_max]) ).

thf(zip_derived_cl3824,plain,
    ! [X0: $i,X1: $i] :
      ( ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) )
      | ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) )
      | ~ ( lesseq @ ( max @ X1 @ X0 ) @ ( max @ X1 @ X0 ) )
      | ~ ( model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl538,zip_derived_cl20]) ).

thf(zip_derived_cl0_028,plain,
    ! [X0: $i] : ( lesseq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[lesseq_ref]) ).

thf(zip_derived_cl46_029,plain,
    ! [X0: $i,X1: $i] : ( model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl3852,plain,
    ! [X0: $i,X1: $i] :
      ( ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) )
      | ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3824,zip_derived_cl0,zip_derived_cl46]) ).

thf(zip_derived_cl3853,plain,
    ! [X0: $i,X1: $i] : ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3852]) ).

thf(zip_derived_cl3880,plain,
    ( ( sk__4 = sk__2 )
    | ( minsol_model_max @ sk__2 @ sk__3 @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3699,zip_derived_cl3853]) ).

thf(zip_derived_cl3495_030,plain,
    ( ( sk__4 = sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3490]) ).

thf(zip_derived_cl26_031,plain,
    ( ~ ( minsol_model_max @ sk__2 @ sk__3 @ sk__4 )
    | ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3497,plain,
    ( ( sk__4 = sk__2 )
    | ~ ( minsol_model_max @ sk__2 @ sk__3 @ sk__3 )
    | ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3495,zip_derived_cl26]) ).

thf(zip_derived_cl4012,plain,
    ( ( sk__4 = sk__2 )
    | ( sk__4 = sk__2 )
    | ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3880,zip_derived_cl3497]) ).

thf(zip_derived_cl4014,plain,
    ( ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__3 )
    | ( sk__4 = sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4012]) ).

thf(zip_derived_cl91688,plain,
    ( ( model_ub @ sk__2 @ sk__3 @ ( sk__1 @ sk__3 @ sk__3 @ sk__2 ) )
    | ( sk__4 = sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3773,zip_derived_cl4014]) ).

thf(zip_derived_cl3853_032,plain,
    ! [X0: $i,X1: $i] : ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3852]) ).

thf(zip_derived_cl3694_033,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__2 @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3611,zip_derived_cl3609]) ).

thf(zip_derived_cl8_034,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl3698,plain,
    ( ( sk__4 = sk__2 )
    | ( ( max @ sk__3 @ sk__2 )
      = sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3694,zip_derived_cl8]) ).

thf(zip_derived_cl76_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X2 @ ( max @ X1 @ X0 ) )
      | ~ ( minsol_model_max @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl18]) ).

thf(zip_derived_cl3712,plain,
    ! [X0: $i] :
      ( ( sk__4 = sk__2 )
      | ( lesseq @ X0 @ sk__3 )
      | ~ ( minsol_model_max @ sk__3 @ sk__2 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3698,zip_derived_cl76]) ).

thf(zip_derived_cl8182,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ ( max @ sk__3 @ sk__2 ) @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3853,zip_derived_cl3712]) ).

thf(zip_derived_cl8_036,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl8193,plain,
    ( ( sk__4 = sk__2 )
    | ( ( max @ sk__3 @ ( max @ sk__3 @ sk__2 ) )
      = sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8182,zip_derived_cl8]) ).

thf(zip_derived_cl8193_037,plain,
    ( ( sk__4 = sk__2 )
    | ( ( max @ sk__3 @ ( max @ sk__3 @ sk__2 ) )
      = sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8182,zip_derived_cl8]) ).

thf(zip_derived_cl3853_038,plain,
    ! [X0: $i,X1: $i] : ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3852]) ).

thf(zip_derived_cl8219,plain,
    ( ( sk__4 = sk__2 )
    | ( minsol_model_max @ sk__3 @ ( max @ sk__3 @ sk__2 ) @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8193,zip_derived_cl3853]) ).

thf(zip_derived_cl76_039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X2 @ ( max @ X1 @ X0 ) )
      | ~ ( minsol_model_max @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl18]) ).

thf(zip_derived_cl8587,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__3 @ ( max @ sk__3 @ ( max @ sk__3 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8219,zip_derived_cl76]) ).

thf(lesseq_trans,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( lesseq @ X @ Y )
        & ( lesseq @ Y @ Z ) )
     => ( lesseq @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ~ ( lesseq @ X1 @ X2 )
      | ( lesseq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[lesseq_trans]) ).

thf(zip_derived_cl57512,plain,
    ! [X0: $i] :
      ( ( sk__4 = sk__2 )
      | ~ ( lesseq @ ( max @ sk__3 @ ( max @ sk__3 @ sk__2 ) ) @ X0 )
      | ( lesseq @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8587,zip_derived_cl1]) ).

thf(zip_derived_cl11_040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ~ ( ub @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ub]) ).

thf(zip_derived_cl57599,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ sk__3 @ X0 )
      | ( sk__4 = sk__2 )
      | ~ ( ub @ X1 @ ( max @ sk__3 @ ( max @ sk__3 @ sk__2 ) ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl57512,zip_derived_cl11]) ).

thf(zip_derived_cl15_041,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ub @ X0 @ X1 @ X2 )
      | ~ ( model_ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_ub_1]) ).

thf(zip_derived_cl62637,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__4 = sk__2 )
      | ( lesseq @ sk__3 @ X0 )
      | ~ ( model_ub @ X1 @ ( max @ sk__3 @ ( max @ sk__3 @ sk__2 ) ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl57599,zip_derived_cl15]) ).

thf(zip_derived_cl69281,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__4 = sk__2 )
      | ( sk__4 = sk__2 )
      | ( lesseq @ sk__3 @ X0 )
      | ~ ( model_ub @ X1 @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8193,zip_derived_cl62637]) ).

thf(zip_derived_cl69311,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( model_ub @ X1 @ sk__3 @ X0 )
      | ( lesseq @ sk__3 @ X0 )
      | ( sk__4 = sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl69281]) ).

thf(zip_derived_cl91695,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__3 @ ( sk__1 @ sk__3 @ sk__3 @ sk__2 ) )
    | ( sk__4 = sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl91688,zip_derived_cl69311]) ).

thf(zip_derived_cl91697,plain,
    ( ( lesseq @ sk__3 @ ( sk__1 @ sk__3 @ sk__3 @ sk__2 ) )
    | ( sk__4 = sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl91695]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( minsol_model_ub @ X0 @ X1 @ X2 )
      | ~ ( lesseq @ X2 @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( model_ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[minsol_model_ub]) ).

thf(zip_derived_cl91725,plain,
    ( ( sk__4 = sk__2 )
    | ( minsol_model_ub @ sk__2 @ sk__3 @ sk__3 )
    | ~ ( model_ub @ sk__2 @ sk__3 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl91697,zip_derived_cl24]) ).

thf(zip_derived_cl4014_042,plain,
    ( ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__3 )
    | ( sk__4 = sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4012]) ).

thf(zip_derived_cl91840,plain,
    ( ~ ( model_ub @ sk__2 @ sk__3 @ sk__3 )
    | ( sk__4 = sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl91725,zip_derived_cl4014]) ).

thf(zip_derived_cl3748_043,plain,
    ( ( sk__4 = sk__2 )
    | ( model_ub @ sk__2 @ sk__3 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3703,zip_derived_cl16]) ).

thf(zip_derived_cl91841,plain,
    sk__4 = sk__2,
    inference(clc,[status(thm)],[zip_derived_cl91840,zip_derived_cl3748]) ).

thf(zip_derived_cl91841_044,plain,
    sk__4 = sk__2,
    inference(clc,[status(thm)],[zip_derived_cl91840,zip_derived_cl3748]) ).

thf(zip_derived_cl91843,plain,
    ( ~ ( minsol_model_max @ sk__2 @ sk__3 @ sk__2 )
    | ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl91841,zip_derived_cl91841]) ).

thf(zip_derived_cl90_045,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( sk__4 = sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl40]) ).

thf(zip_derived_cl3_046,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( lesseq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[lesseq_total]) ).

thf(zip_derived_cl1_047,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ~ ( lesseq @ X1 @ X2 )
      | ( lesseq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[lesseq_trans]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ~ ( lesseq @ X0 @ X2 )
      | ( lesseq @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i] :
      ( ( sk__4 = sk__3 )
      | ( lesseq @ sk__2 @ sk__4 )
      | ( lesseq @ sk__3 @ X0 )
      | ( lesseq @ X0 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl36]) ).

thf(zip_derived_cl8_048,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl1346,plain,
    ! [X0: $i] :
      ( ( lesseq @ sk__3 @ X0 )
      | ( lesseq @ sk__2 @ sk__4 )
      | ( sk__4 = sk__3 )
      | ( ( max @ sk__2 @ X0 )
        = sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl8]) ).

thf(zip_derived_cl96_049,plain,
    ( ( lesseq @ sk__3 @ sk__4 )
    | ( sk__4
      = ( max @ sk__2 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl13]) ).

thf(zip_derived_cl33_050,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( ( max @ X0 @ X1 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).

thf(zip_derived_cl105,plain,
    ( ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__3 )
    | ( sk__4 = sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl33]) ).

thf(zip_derived_cl8_051,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl155,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__2 @ sk__3 )
    | ( ( max @ sk__4 @ sk__3 )
      = sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl8]) ).

thf(zip_derived_cl40_052,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(zip_derived_cl283,plain,
    ( ( lesseq @ sk__2 @ sk__3 )
    | ( sk__4 = sk__2 )
    | ( lesseq @ sk__3 @ sk__4 )
    | ( sk__4 = sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl155,zip_derived_cl40]) ).

thf(zip_derived_cl96_053,plain,
    ( ( lesseq @ sk__3 @ sk__4 )
    | ( sk__4
      = ( max @ sk__2 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl13]) ).

thf(zip_derived_cl9_054,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X0 @ X1 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_2]) ).

thf(zip_derived_cl102,plain,
    ( ( lesseq @ sk__3 @ sk__4 )
    | ~ ( lesseq @ sk__2 @ sk__3 )
    | ( sk__4 = sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl9]) ).

thf(zip_derived_cl477,plain,
    ( ( sk__4 = sk__3 )
    | ( lesseq @ sk__3 @ sk__4 )
    | ( sk__4 = sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl283,zip_derived_cl102]) ).

thf(zip_derived_cl36_055,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ~ ( lesseq @ X0 @ X2 )
      | ( lesseq @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl485,plain,
    ! [X0: $i] :
      ( ( sk__4 = sk__2 )
      | ( sk__4 = sk__3 )
      | ( lesseq @ sk__3 @ X0 )
      | ( lesseq @ X0 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl36]) ).

thf(zip_derived_cl9_056,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X0 @ X1 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_2]) ).

thf(zip_derived_cl875,plain,
    ! [X0: $i] :
      ( ( lesseq @ sk__3 @ X0 )
      | ( sk__4 = sk__3 )
      | ( sk__4 = sk__2 )
      | ( ( max @ X0 @ sk__4 )
        = sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl9]) ).

thf(zip_derived_cl1727,plain,
    ( ( sk__4 = sk__3 )
    | ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( sk__4 = sk__3 )
    | ( sk__4 = sk__2 )
    | ( sk__2 = sk__4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1346,zip_derived_cl875]) ).

thf(zip_derived_cl1738,plain,
    ( ( sk__4 = sk__2 )
    | ( lesseq @ sk__3 @ sk__2 )
    | ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__4 )
    | ( sk__4 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1727]) ).

thf(zip_derived_cl2725_057,plain,
    ( ( sk__4 = sk__3 )
    | ( ( max @ sk__2 @ sk__3 )
      = sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2721,zip_derived_cl8]) ).

thf(zip_derived_cl3853_058,plain,
    ! [X0: $i,X1: $i] : ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3852]) ).

thf(zip_derived_cl3879,plain,
    ( ( sk__4 = sk__3 )
    | ( minsol_model_max @ sk__2 @ sk__3 @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2725,zip_derived_cl3853]) ).

thf(zip_derived_cl83_059,plain,
    ( ( model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl10]) ).

thf(zip_derived_cl18_060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( model_max @ X0 @ X1 @ X2 )
      | ( lesseq @ X3 @ X2 )
      | ~ ( minsol_model_max @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[minsol_model_max]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ( ( lesseq @ sk__2 @ sk__4 )
      | ( lesseq @ X0 @ sk__4 )
      | ~ ( minsol_model_max @ sk__2 @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl18]) ).

thf(zip_derived_cl3893,plain,
    ( ( sk__4 = sk__3 )
    | ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3879,zip_derived_cl87]) ).

thf(zip_derived_cl3897,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( sk__4 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3893]) ).

thf(zip_derived_cl9612,plain,
    ( ( sk__4 = sk__3 )
    | ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1738,zip_derived_cl3897]) ).

thf(zip_derived_cl40_061,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(zip_derived_cl3853_062,plain,
    ! [X0: $i,X1: $i] : ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3852]) ).

thf(zip_derived_cl3865,plain,
    ! [X0: $i,X1: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ( minsol_model_max @ X1 @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl3853]) ).

thf(zip_derived_cl84_063,plain,
    ( ( model_max @ sk__2 @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl11]) ).

thf(zip_derived_cl18_064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( model_max @ X0 @ X1 @ X2 )
      | ( lesseq @ X3 @ X2 )
      | ~ ( minsol_model_max @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[minsol_model_max]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( lesseq @ sk__3 @ sk__4 )
      | ( lesseq @ X0 @ sk__4 )
      | ~ ( minsol_model_max @ sk__2 @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl18]) ).

thf(zip_derived_cl4571,plain,
    ( ( lesseq @ sk__3 @ sk__2 )
    | ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3865,zip_derived_cl97]) ).

thf(zip_derived_cl4578,plain,
    ( ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4571]) ).

thf(zip_derived_cl9613,plain,
    ( ( lesseq @ sk__3 @ sk__2 )
    | ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__4 ) ),
    inference(clc,[status(thm)],[zip_derived_cl9612,zip_derived_cl4578]) ).

thf(zip_derived_cl36_065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ~ ( lesseq @ X0 @ X2 )
      | ( lesseq @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl9614,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl9613,zip_derived_cl36]) ).

thf(zip_derived_cl8_066,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl9618,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( ( max @ sk__2 @ sk__3 )
      = sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9614,zip_derived_cl8]) ).

thf(zip_derived_cl3853_067,plain,
    ! [X0: $i,X1: $i] : ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3852]) ).

thf(zip_derived_cl9636,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( minsol_model_max @ sk__2 @ sk__3 @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9618,zip_derived_cl3853]) ).

thf(zip_derived_cl87_068,plain,
    ! [X0: $i] :
      ( ( lesseq @ sk__2 @ sk__4 )
      | ( lesseq @ X0 @ sk__4 )
      | ~ ( minsol_model_max @ sk__2 @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl18]) ).

thf(zip_derived_cl9711,plain,
    ( ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__4 )
    | ( lesseq @ sk__2 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9636,zip_derived_cl87]) ).

thf(zip_derived_cl9716,plain,
    lesseq @ sk__2 @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl9711]) ).

thf(zip_derived_cl36_069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ~ ( lesseq @ X0 @ X2 )
      | ( lesseq @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl9726,plain,
    ! [X0: $i] :
      ( ( lesseq @ sk__2 @ X0 )
      | ( lesseq @ X0 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9716,zip_derived_cl36]) ).

thf(zip_derived_cl9_070,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X0 @ X1 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_2]) ).

thf(zip_derived_cl10475,plain,
    ! [X0: $i] :
      ( ( lesseq @ X0 @ sk__4 )
      | ( ( max @ sk__2 @ X0 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9726,zip_derived_cl9]) ).

thf(zip_derived_cl3853_071,plain,
    ! [X0: $i,X1: $i] : ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3852]) ).

thf(zip_derived_cl10568,plain,
    ! [X0: $i] :
      ( ( lesseq @ X0 @ sk__4 )
      | ( minsol_model_max @ sk__2 @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10475,zip_derived_cl3853]) ).

thf(zip_derived_cl97_072,plain,
    ! [X0: $i] :
      ( ( lesseq @ sk__3 @ sk__4 )
      | ( lesseq @ X0 @ sk__4 )
      | ~ ( minsol_model_max @ sk__2 @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl18]) ).

thf(zip_derived_cl10716,plain,
    ( ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__4 )
    | ( lesseq @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10568,zip_derived_cl97]) ).

thf(zip_derived_cl10722,plain,
    lesseq @ sk__3 @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl10716]) ).

thf(zip_derived_cl8_073,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lesseq @ X0 @ X1 )
      | ( ( max @ X1 @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[max_1]) ).

thf(zip_derived_cl10728,plain,
    ( ( max @ sk__4 @ sk__3 )
    = sk__4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10722,zip_derived_cl8]) ).

thf(zip_derived_cl3853_074,plain,
    ! [X0: $i,X1: $i] : ( minsol_model_max @ X1 @ X0 @ ( max @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3852]) ).

thf(zip_derived_cl10759,plain,
    minsol_model_max @ sk__4 @ sk__3 @ sk__4,
    inference('s_sup+',[status(thm)],[zip_derived_cl10728,zip_derived_cl3853]) ).

thf(zip_derived_cl91841_075,plain,
    sk__4 = sk__2,
    inference(clc,[status(thm)],[zip_derived_cl91840,zip_derived_cl3748]) ).

thf(zip_derived_cl91841_076,plain,
    sk__4 = sk__2,
    inference(clc,[status(thm)],[zip_derived_cl91840,zip_derived_cl3748]) ).

thf(zip_derived_cl92158,plain,
    minsol_model_max @ sk__2 @ sk__3 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl10759,zip_derived_cl91841,zip_derived_cl91841]) ).

thf(zip_derived_cl92901,plain,
    ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl91843,zip_derived_cl92158]) ).

thf(zip_derived_cl0_077,plain,
    ! [X0: $i] : ( lesseq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[lesseq_ref]) ).

thf(zip_derived_cl10722_078,plain,
    lesseq @ sk__3 @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl10716]) ).

thf(zip_derived_cl12_079,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ub @ X0 @ X1 @ X2 )
      | ~ ( lesseq @ X1 @ X2 )
      | ~ ( lesseq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ub]) ).

thf(zip_derived_cl10731,plain,
    ! [X0: $i] :
      ( ( ub @ X0 @ sk__3 @ sk__4 )
      | ~ ( lesseq @ X0 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10722,zip_derived_cl12]) ).

thf(zip_derived_cl11342,plain,
    ub @ sk__4 @ sk__3 @ sk__4,
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl10731]) ).

thf(zip_derived_cl16_080,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model_ub @ X0 @ X1 @ X2 )
      | ~ ( ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_ub_1]) ).

thf(zip_derived_cl11371,plain,
    model_ub @ sk__4 @ sk__3 @ sk__4,
    inference('s_sup-',[status(thm)],[zip_derived_cl11342,zip_derived_cl16]) ).

thf(zip_derived_cl91841_081,plain,
    sk__4 = sk__2,
    inference(clc,[status(thm)],[zip_derived_cl91840,zip_derived_cl3748]) ).

thf(zip_derived_cl91841_082,plain,
    sk__4 = sk__2,
    inference(clc,[status(thm)],[zip_derived_cl91840,zip_derived_cl3748]) ).

thf(zip_derived_cl92182,plain,
    model_ub @ sk__2 @ sk__3 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl11371,zip_derived_cl91841,zip_derived_cl91841]) ).

thf(zip_derived_cl23_083,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( minsol_model_ub @ X0 @ X1 @ X2 )
      | ( model_ub @ X0 @ X1 @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( model_ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[minsol_model_ub]) ).

thf(zip_derived_cl92974,plain,
    ( ( minsol_model_ub @ sk__2 @ sk__3 @ sk__2 )
    | ( model_ub @ sk__2 @ sk__3 @ ( sk__1 @ sk__2 @ sk__3 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl92182,zip_derived_cl23]) ).

thf(zip_derived_cl92901_084,plain,
    ~ ( minsol_model_ub @ sk__2 @ sk__3 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl91843,zip_derived_cl92158]) ).

thf(zip_derived_cl92978,plain,
    model_ub @ sk__2 @ sk__3 @ ( sk__1 @ sk__2 @ sk__3 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl92974,zip_derived_cl92901]) ).

thf(zip_derived_cl15_085,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ub @ X0 @ X1 @ X2 )
      | ~ ( model_ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[model_ub_1]) ).

thf(zip_derived_cl94449,plain,
    ub @ sk__2 @ sk__3 @ ( sk__1 @ sk__2 @ sk__3 @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl92978,zip_derived_cl15]) ).

thf(zip_derived_cl10_086,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lesseq @ X0 @ X1 )
      | ~ ( ub @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ub]) ).

thf(zip_derived_cl95278,plain,
    lesseq @ sk__2 @ ( sk__1 @ sk__2 @ sk__3 @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl94449,zip_derived_cl10]) ).

thf(zip_derived_cl24_087,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( minsol_model_ub @ X0 @ X1 @ X2 )
      | ~ ( lesseq @ X2 @ ( sk__1 @ X2 @ X1 @ X0 ) )
      | ~ ( model_ub @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[minsol_model_ub]) ).

thf(zip_derived_cl95303,plain,
    ( ( minsol_model_ub @ sk__2 @ sk__3 @ sk__2 )
    | ~ ( model_ub @ sk__2 @ sk__3 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95278,zip_derived_cl24]) ).

thf(zip_derived_cl92182_088,plain,
    model_ub @ sk__2 @ sk__3 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl11371,zip_derived_cl91841,zip_derived_cl91841]) ).

thf(zip_derived_cl95305,plain,
    minsol_model_ub @ sk__2 @ sk__3 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl95303,zip_derived_cl92182]) ).

thf(zip_derived_cl95306,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl92901,zip_derived_cl95305]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM858+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9vBQtXBThw true
% 0.17/0.34  % Computer : n021.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Fri Aug 25 12:49:11 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 84.60/12.78  % Solved by fo/fo13.sh.
% 84.60/12.78  % done 7917 iterations in 12.004s
% 84.60/12.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 84.60/12.78  % SZS output start Refutation
% See solution above
% 84.60/12.78  
% 84.60/12.78  
% 84.60/12.78  % Terminating...
% 85.22/12.89  % Runner terminated.
% 85.22/12.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------