TSTP Solution File: MSC007-1.008 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MSC007-1.008 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EeQ9FjxPVZ true

% Computer : n004.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 09:31:46 EDT 2023

% Result   : Unsatisfiable 1.97s 0.93s
% Output   : Refutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  260
% Syntax   : Number of formulae    :  873 (   1 unt;  56 typ;   0 def)
%            Number of atoms       : 1793 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 2748 (1772   ~; 976   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   57 (  56 usr;  57 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pigeon_1_in_hole_7_type,type,
    pigeon_1_in_hole_7: $o ).

thf(pigeon_2_in_hole_5_type,type,
    pigeon_2_in_hole_5: $o ).

thf(pigeon_3_in_hole_1_type,type,
    pigeon_3_in_hole_1: $o ).

thf(pigeon_4_in_hole_7_type,type,
    pigeon_4_in_hole_7: $o ).

thf(pigeon_5_in_hole_3_type,type,
    pigeon_5_in_hole_3: $o ).

thf(pigeon_8_in_hole_6_type,type,
    pigeon_8_in_hole_6: $o ).

thf(pigeon_6_in_hole_6_type,type,
    pigeon_6_in_hole_6: $o ).

thf(pigeon_1_in_hole_6_type,type,
    pigeon_1_in_hole_6: $o ).

thf(pigeon_3_in_hole_7_type,type,
    pigeon_3_in_hole_7: $o ).

thf(pigeon_4_in_hole_3_type,type,
    pigeon_4_in_hole_3: $o ).

thf(pigeon_6_in_hole_5_type,type,
    pigeon_6_in_hole_5: $o ).

thf(pigeon_2_in_hole_1_type,type,
    pigeon_2_in_hole_1: $o ).

thf(pigeon_8_in_hole_1_type,type,
    pigeon_8_in_hole_1: $o ).

thf(pigeon_3_in_hole_3_type,type,
    pigeon_3_in_hole_3: $o ).

thf(pigeon_7_in_hole_5_type,type,
    pigeon_7_in_hole_5: $o ).

thf(pigeon_8_in_hole_4_type,type,
    pigeon_8_in_hole_4: $o ).

thf(pigeon_1_in_hole_5_type,type,
    pigeon_1_in_hole_5: $o ).

thf(pigeon_8_in_hole_7_type,type,
    pigeon_8_in_hole_7: $o ).

thf(pigeon_2_in_hole_4_type,type,
    pigeon_2_in_hole_4: $o ).

thf(pigeon_5_in_hole_1_type,type,
    pigeon_5_in_hole_1: $o ).

thf(pigeon_2_in_hole_3_type,type,
    pigeon_2_in_hole_3: $o ).

thf(pigeon_8_in_hole_3_type,type,
    pigeon_8_in_hole_3: $o ).

thf(pigeon_1_in_hole_4_type,type,
    pigeon_1_in_hole_4: $o ).

thf(pigeon_4_in_hole_5_type,type,
    pigeon_4_in_hole_5: $o ).

thf(pigeon_6_in_hole_7_type,type,
    pigeon_6_in_hole_7: $o ).

thf(pigeon_4_in_hole_6_type,type,
    pigeon_4_in_hole_6: $o ).

thf(pigeon_5_in_hole_5_type,type,
    pigeon_5_in_hole_5: $o ).

thf(pigeon_7_in_hole_3_type,type,
    pigeon_7_in_hole_3: $o ).

thf(pigeon_8_in_hole_2_type,type,
    pigeon_8_in_hole_2: $o ).

thf(pigeon_7_in_hole_1_type,type,
    pigeon_7_in_hole_1: $o ).

thf(pigeon_6_in_hole_4_type,type,
    pigeon_6_in_hole_4: $o ).

thf(pigeon_7_in_hole_2_type,type,
    pigeon_7_in_hole_2: $o ).

thf(pigeon_7_in_hole_7_type,type,
    pigeon_7_in_hole_7: $o ).

thf(pigeon_1_in_hole_3_type,type,
    pigeon_1_in_hole_3: $o ).

thf(pigeon_5_in_hole_6_type,type,
    pigeon_5_in_hole_6: $o ).

thf(pigeon_7_in_hole_4_type,type,
    pigeon_7_in_hole_4: $o ).

thf(pigeon_4_in_hole_2_type,type,
    pigeon_4_in_hole_2: $o ).

thf(pigeon_1_in_hole_2_type,type,
    pigeon_1_in_hole_2: $o ).

thf(pigeon_4_in_hole_4_type,type,
    pigeon_4_in_hole_4: $o ).

thf(pigeon_5_in_hole_7_type,type,
    pigeon_5_in_hole_7: $o ).

thf(pigeon_4_in_hole_1_type,type,
    pigeon_4_in_hole_1: $o ).

thf(pigeon_5_in_hole_4_type,type,
    pigeon_5_in_hole_4: $o ).

thf(pigeon_6_in_hole_2_type,type,
    pigeon_6_in_hole_2: $o ).

thf(pigeon_1_in_hole_1_type,type,
    pigeon_1_in_hole_1: $o ).

thf(pigeon_5_in_hole_2_type,type,
    pigeon_5_in_hole_2: $o ).

thf(pigeon_3_in_hole_5_type,type,
    pigeon_3_in_hole_5: $o ).

thf(pigeon_6_in_hole_1_type,type,
    pigeon_6_in_hole_1: $o ).

thf(pigeon_7_in_hole_6_type,type,
    pigeon_7_in_hole_6: $o ).

thf(pigeon_2_in_hole_7_type,type,
    pigeon_2_in_hole_7: $o ).

thf(pigeon_8_in_hole_5_type,type,
    pigeon_8_in_hole_5: $o ).

thf(pigeon_6_in_hole_3_type,type,
    pigeon_6_in_hole_3: $o ).

thf(pigeon_2_in_hole_6_type,type,
    pigeon_2_in_hole_6: $o ).

thf(pigeon_2_in_hole_2_type,type,
    pigeon_2_in_hole_2: $o ).

thf(pigeon_3_in_hole_4_type,type,
    pigeon_3_in_hole_4: $o ).

thf(pigeon_3_in_hole_6_type,type,
    pigeon_3_in_hole_6: $o ).

thf(pigeon_3_in_hole_2_type,type,
    pigeon_3_in_hole_2: $o ).

thf(hole_6_pigeons_1_and_2,conjecture,
    ~ ( ~ pigeon_2_in_hole_6
      | ~ pigeon_1_in_hole_6 ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ~ pigeon_2_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_1_and_2]) ).

thf(zip_derived_cl148,plain,
    ( ~ pigeon_2_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ~ pigeon_1_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

thf(hole_6_pigeons_1_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_6
      | ~ pigeon_1_in_hole_6 ) ).

thf(zf_stmt_1,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_1_and_5]) ).

thf(zip_derived_cl151,plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf('1',plain,
    ( ~ pigeon_1_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(hole_6_pigeons_1_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_6
      | ~ pigeon_1_in_hole_6 ) ).

thf(zf_stmt_2,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_1_and_6]) ).

thf(zip_derived_cl152,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf('2',plain,
    ( ~ pigeon_1_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf(hole_6_pigeons_1_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_6
      | ~ pigeon_1_in_hole_6 ) ).

thf(zf_stmt_3,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_1_and_4]) ).

thf(zip_derived_cl150,plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf('3',plain,
    ( ~ pigeon_1_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(hole_6_pigeons_1_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_6
      | ~ pigeon_1_in_hole_6 ) ).

thf(zf_stmt_4,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_1_and_7]) ).

thf(zip_derived_cl153,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf('4',plain,
    ( ~ pigeon_1_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(hole_1_pigeons_1_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_1
      | ~ pigeon_1_in_hole_1 ) ).

thf(zf_stmt_5,negated_conjecture,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_1_and_3]) ).

thf(zip_derived_cl9,plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf('5',plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(hole_6_pigeons_1_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_6
      | ~ pigeon_1_in_hole_6 ) ).

thf(zf_stmt_6,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_1_and_8]) ).

thf(zip_derived_cl154,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf('6',plain,
    ( ~ pigeon_1_in_hole_6
    | ~ pigeon_8_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(hole_7_pigeons_3_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_7
      | ~ pigeon_3_in_hole_7 ) ).

thf(zf_stmt_7,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_3_and_8]) ).

thf(zip_derived_cl193,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf('7',plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_8_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(hole_7_pigeons_7_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_7
      | ~ pigeon_7_in_hole_7 ) ).

thf(zf_stmt_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_7_and_8]) ).

thf(zip_derived_cl203,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf('8',plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(hole_1_pigeons_1_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_1
      | ~ pigeon_1_in_hole_1 ) ).

thf(zf_stmt_9,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_1_and_7]) ).

thf(zip_derived_cl13,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf('9',plain,
    ( ~ pigeon_1_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(hole_1_pigeons_1_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_1
      | ~ pigeon_1_in_hole_1 ) ).

thf(zf_stmt_10,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_1_and_6]) ).

thf(zip_derived_cl12,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf('10',plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(hole_1_pigeons_1_and_2,conjecture,
    ~ ( ~ pigeon_2_in_hole_1
      | ~ pigeon_1_in_hole_1 ) ).

thf(zf_stmt_11,negated_conjecture,
    ( ~ pigeon_2_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_1_and_2]) ).

thf(zip_derived_cl8,plain,
    ( ~ pigeon_2_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf('11',plain,
    ( ~ pigeon_1_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(hole_1_pigeons_1_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_1
      | ~ pigeon_1_in_hole_1 ) ).

thf(zf_stmt_12,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_1_and_5]) ).

thf(zip_derived_cl11,plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf('12',plain,
    ( ~ pigeon_1_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(hole_1_pigeons_1_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_1
      | ~ pigeon_1_in_hole_1 ) ).

thf(zf_stmt_13,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_1_and_4]) ).

thf(zip_derived_cl10,plain,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf('13',plain,
    ( ~ pigeon_1_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(hole_7_pigeons_4_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_7
      | ~ pigeon_4_in_hole_7 ) ).

thf(zf_stmt_14,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_4_and_8]) ).

thf(zip_derived_cl197,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_14]) ).

thf('14',plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(hole_7_pigeons_2_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_7
      | ~ pigeon_2_in_hole_7 ) ).

thf(zf_stmt_15,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_2_and_8]) ).

thf(zip_derived_cl188,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf('15',plain,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_8_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(hole_7_pigeons_6_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_7
      | ~ pigeon_6_in_hole_7 ) ).

thf(zf_stmt_16,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_6_and_8]) ).

thf(zip_derived_cl202,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_16]) ).

thf('16',plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(hole_2_pigeons_1_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_2
      | ~ pigeon_1_in_hole_2 ) ).

thf(zf_stmt_17,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_1_and_8]) ).

thf(zip_derived_cl42,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf('17',plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(hole_7_pigeons_5_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_7
      | ~ pigeon_5_in_hole_7 ) ).

thf(zf_stmt_18,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_5_and_6]) ).

thf(zip_derived_cl198,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf('18',plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(hole_2_pigeons_1_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_2
      | ~ pigeon_1_in_hole_2 ) ).

thf(zf_stmt_19,negated_conjecture,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_1_and_3]) ).

thf(zip_derived_cl37,plain,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_19]) ).

thf('19',plain,
    ( ~ pigeon_1_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(hole_7_pigeons_6_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_7
      | ~ pigeon_6_in_hole_7 ) ).

thf(zf_stmt_20,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_6_and_7]) ).

thf(zip_derived_cl201,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_20]) ).

thf('20',plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(hole_7_pigeons_4_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_7
      | ~ pigeon_4_in_hole_7 ) ).

thf(zf_stmt_21,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_4_and_6]) ).

thf(zip_derived_cl195,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_21]) ).

thf('21',plain,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(hole_7_pigeons_2_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_7
      | ~ pigeon_2_in_hole_7 ) ).

thf(zf_stmt_22,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_2_and_6]) ).

thf(zip_derived_cl186,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_22]) ).

thf('22',plain,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(hole_7_pigeons_4_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_7
      | ~ pigeon_4_in_hole_7 ) ).

thf(zf_stmt_23,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_4_and_7]) ).

thf(zip_derived_cl196,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_23]) ).

thf('23',plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(hole_7_pigeons_2_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_7
      | ~ pigeon_2_in_hole_7 ) ).

thf(zf_stmt_24,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_2_and_4]) ).

thf(zip_derived_cl184,plain,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_24]) ).

thf('24',plain,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl184]) ).

thf(hole_7_pigeons_2_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_7
      | ~ pigeon_2_in_hole_7 ) ).

thf(zf_stmt_25,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_2_and_7]) ).

thf(zip_derived_cl187,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_25]) ).

thf('25',plain,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(hole_2_pigeons_1_and_2,conjecture,
    ~ ( ~ pigeon_2_in_hole_2
      | ~ pigeon_1_in_hole_2 ) ).

thf(zf_stmt_26,negated_conjecture,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_1_and_2]) ).

thf(zip_derived_cl36,plain,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_26]) ).

thf('26',plain,
    ( ~ pigeon_1_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(hole_2_pigeons_1_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_2
      | ~ pigeon_1_in_hole_2 ) ).

thf(zf_stmt_27,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_1_and_6]) ).

thf(zip_derived_cl40,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_27]) ).

thf('27',plain,
    ( ~ pigeon_1_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(hole_2_pigeons_1_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_2
      | ~ pigeon_1_in_hole_2 ) ).

thf(zf_stmt_28,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_1_and_4]) ).

thf(zip_derived_cl38,plain,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_28]) ).

thf('28',plain,
    ( ~ pigeon_1_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(hole_2_pigeons_1_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_2
      | ~ pigeon_1_in_hole_2 ) ).

thf(zf_stmt_29,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_1_and_5]) ).

thf(zip_derived_cl39,plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_29]) ).

thf('29',plain,
    ( ~ pigeon_1_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(hole_2_pigeons_1_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_2
      | ~ pigeon_1_in_hole_2 ) ).

thf(zf_stmt_30,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_1_and_7]) ).

thf(zip_derived_cl41,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_30]) ).

thf('30',plain,
    ( ~ pigeon_1_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(hole_7_pigeons_2_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_7
      | ~ pigeon_2_in_hole_7 ) ).

thf(zf_stmt_31,negated_conjecture,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_2_and_3]) ).

thf(zip_derived_cl183,plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_31]) ).

thf('31',plain,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(hole_7_pigeons_3_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_7
      | ~ pigeon_3_in_hole_7 ) ).

thf(zf_stmt_32,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_3_and_4]) ).

thf(zip_derived_cl189,plain,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_32]) ).

thf('32',plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(hole_7_pigeons_3_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_7
      | ~ pigeon_3_in_hole_7 ) ).

thf(zf_stmt_33,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_3_and_6]) ).

thf(zip_derived_cl191,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_33]) ).

thf('33',plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(hole_7_pigeons_3_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_7
      | ~ pigeon_3_in_hole_7 ) ).

thf(zf_stmt_34,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_3_and_7]) ).

thf(zip_derived_cl192,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_34]) ).

thf('34',plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(hole_5_pigeons_1_and_2,conjecture,
    ~ ( ~ pigeon_2_in_hole_5
      | ~ pigeon_1_in_hole_5 ) ).

thf(zf_stmt_35,negated_conjecture,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_1_and_2]) ).

thf(zip_derived_cl120,plain,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_35]) ).

thf('35',plain,
    ( ~ pigeon_1_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf(hole_4_pigeons_1_and_2,conjecture,
    ~ ( ~ pigeon_2_in_hole_4
      | ~ pigeon_1_in_hole_4 ) ).

thf(zf_stmt_36,negated_conjecture,
    ( ~ pigeon_2_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_1_and_2]) ).

thf(zip_derived_cl92,plain,
    ( ~ pigeon_2_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_36]) ).

thf('36',plain,
    ( ~ pigeon_1_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

thf(hole_5_pigeons_1_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_5
      | ~ pigeon_1_in_hole_5 ) ).

thf(zf_stmt_37,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_1_and_7]) ).

thf(zip_derived_cl125,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_37]) ).

thf('37',plain,
    ( ~ pigeon_1_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(hole_4_pigeons_1_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_4
      | ~ pigeon_1_in_hole_4 ) ).

thf(zf_stmt_38,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_1_and_7]) ).

thf(zip_derived_cl97,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_38]) ).

thf('38',plain,
    ( ~ pigeon_1_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(hole_1_pigeons_1_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_1
      | ~ pigeon_1_in_hole_1 ) ).

thf(zf_stmt_39,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_1_and_8]) ).

thf(zip_derived_cl14,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_39]) ).

thf('39',plain,
    ( ~ pigeon_1_in_hole_1
    | ~ pigeon_8_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(hole_6_pigeons_1_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_6
      | ~ pigeon_1_in_hole_6 ) ).

thf(zf_stmt_40,negated_conjecture,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_1_and_3]) ).

thf(zip_derived_cl149,plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_40]) ).

thf('40',plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(hole_7_pigeons_2_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_7
      | ~ pigeon_2_in_hole_7 ) ).

thf(zf_stmt_41,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_2_and_5]) ).

thf(zip_derived_cl185,plain,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_41]) ).

thf('41',plain,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(hole_7_pigeons_3_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_7
      | ~ pigeon_3_in_hole_7 ) ).

thf(zf_stmt_42,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_3_and_5]) ).

thf(zip_derived_cl190,plain,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_42]) ).

thf('42',plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(hole_7_pigeons_4_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_7
      | ~ pigeon_4_in_hole_7 ) ).

thf(zf_stmt_43,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_4_and_5]) ).

thf(zip_derived_cl194,plain,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_43]) ).

thf('43',plain,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(hole_7_pigeons_5_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_7
      | ~ pigeon_5_in_hole_7 ) ).

thf(zf_stmt_44,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_5_and_7]) ).

thf(zip_derived_cl199,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_44]) ).

thf('44',plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(hole_7_pigeons_5_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_7
      | ~ pigeon_5_in_hole_7 ) ).

thf(zf_stmt_45,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_5_and_8]) ).

thf(zip_derived_cl200,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_45]) ).

thf('45',plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(hole_3_pigeons_1_and_2,conjecture,
    ~ ( ~ pigeon_2_in_hole_3
      | ~ pigeon_1_in_hole_3 ) ).

thf(zf_stmt_46,negated_conjecture,
    ( ~ pigeon_2_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_1_and_2]) ).

thf(zip_derived_cl64,plain,
    ( ~ pigeon_2_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_46]) ).

thf('46',plain,
    ( ~ pigeon_1_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(hole_3_pigeons_1_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_3
      | ~ pigeon_1_in_hole_3 ) ).

thf(zf_stmt_47,negated_conjecture,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_1_and_3]) ).

thf(zip_derived_cl65,plain,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_47]) ).

thf('47',plain,
    ( ~ pigeon_1_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(hole_3_pigeons_1_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_3
      | ~ pigeon_1_in_hole_3 ) ).

thf(zf_stmt_48,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_1_and_4]) ).

thf(zip_derived_cl66,plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_48]) ).

thf('48',plain,
    ( ~ pigeon_1_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(hole_3_pigeons_1_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_3
      | ~ pigeon_1_in_hole_3 ) ).

thf(zf_stmt_49,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_1_and_5]) ).

thf(zip_derived_cl67,plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_49]) ).

thf('49',plain,
    ( ~ pigeon_1_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(hole_3_pigeons_1_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_3
      | ~ pigeon_1_in_hole_3 ) ).

thf(zf_stmt_50,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_1_and_6]) ).

thf(zip_derived_cl68,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_50]) ).

thf('50',plain,
    ( ~ pigeon_1_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(hole_3_pigeons_1_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_3
      | ~ pigeon_1_in_hole_3 ) ).

thf(zf_stmt_51,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_1_and_7]) ).

thf(zip_derived_cl69,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_51]) ).

thf('51',plain,
    ( ~ pigeon_1_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(hole_3_pigeons_1_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_3
      | ~ pigeon_1_in_hole_3 ) ).

thf(zf_stmt_52,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_1_and_8]) ).

thf(zip_derived_cl70,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_52]) ).

thf('52',plain,
    ( ~ pigeon_1_in_hole_3
    | ~ pigeon_8_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(hole_4_pigeons_1_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_4
      | ~ pigeon_1_in_hole_4 ) ).

thf(zf_stmt_53,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_1_and_8]) ).

thf(zip_derived_cl98,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_53]) ).

thf('53',plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(hole_5_pigeons_1_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_5
      | ~ pigeon_1_in_hole_5 ) ).

thf(zf_stmt_54,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_1_and_8]) ).

thf(zip_derived_cl126,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_54]) ).

thf('54',plain,
    ( ~ pigeon_1_in_hole_5
    | ~ pigeon_8_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(hole_4_pigeons_1_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_4
      | ~ pigeon_1_in_hole_4 ) ).

thf(zf_stmt_55,negated_conjecture,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_1_and_3]) ).

thf(zip_derived_cl93,plain,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_55]) ).

thf('55',plain,
    ( ~ pigeon_1_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(hole_5_pigeons_1_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_5
      | ~ pigeon_1_in_hole_5 ) ).

thf(zf_stmt_56,negated_conjecture,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_1_and_3]) ).

thf(zip_derived_cl121,plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_56]) ).

thf('56',plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(hole_4_pigeons_1_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_4
      | ~ pigeon_1_in_hole_4 ) ).

thf(zf_stmt_57,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_1_and_6]) ).

thf(zip_derived_cl96,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_57]) ).

thf('57',plain,
    ( ~ pigeon_1_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(hole_5_pigeons_1_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_5
      | ~ pigeon_1_in_hole_5 ) ).

thf(zf_stmt_58,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_1_and_6]) ).

thf(zip_derived_cl124,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_58]) ).

thf('58',plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(hole_4_pigeons_1_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_4
      | ~ pigeon_1_in_hole_4 ) ).

thf(zf_stmt_59,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_1_and_4]) ).

thf(zip_derived_cl94,plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_59]) ).

thf('59',plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(hole_5_pigeons_1_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_5
      | ~ pigeon_1_in_hole_5 ) ).

thf(zf_stmt_60,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_1_and_5]) ).

thf(zip_derived_cl123,plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_60]) ).

thf('60',plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(pigeon_1,conjecture,
    ~ ( pigeon_1_in_hole_7
      | pigeon_1_in_hole_6
      | pigeon_1_in_hole_5
      | pigeon_1_in_hole_4
      | pigeon_1_in_hole_3
      | pigeon_1_in_hole_2
      | pigeon_1_in_hole_1 ) ).

thf(zf_stmt_61,negated_conjecture,
    ( pigeon_1_in_hole_7
    | pigeon_1_in_hole_6
    | pigeon_1_in_hole_5
    | pigeon_1_in_hole_4
    | pigeon_1_in_hole_3
    | pigeon_1_in_hole_2
    | pigeon_1_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[pigeon_1]) ).

thf(zip_derived_cl0,plain,
    ( pigeon_1_in_hole_7
    | pigeon_1_in_hole_6
    | pigeon_1_in_hole_5
    | pigeon_1_in_hole_4
    | pigeon_1_in_hole_3
    | pigeon_1_in_hole_2
    | pigeon_1_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_61]) ).

thf('61',plain,
    ( pigeon_1_in_hole_4
    | pigeon_1_in_hole_5
    | pigeon_1_in_hole_7
    | pigeon_1_in_hole_3
    | pigeon_1_in_hole_2
    | pigeon_1_in_hole_6
    | pigeon_1_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(hole_6_pigeons_6_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_6
      | ~ pigeon_6_in_hole_6 ) ).

thf(zf_stmt_62,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_6_and_7]) ).

thf(zip_derived_cl173,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_62]) ).

thf('62',plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(hole_1_pigeons_3_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_1
      | ~ pigeon_3_in_hole_1 ) ).

thf(zf_stmt_63,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_3_and_4]) ).

thf(zip_derived_cl21,plain,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_63]) ).

thf('63',plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(hole_1_pigeons_3_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_1
      | ~ pigeon_3_in_hole_1 ) ).

thf(zf_stmt_64,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_3_and_5]) ).

thf(zip_derived_cl22,plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_64]) ).

thf('64',plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(hole_1_pigeons_2_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_1
      | ~ pigeon_2_in_hole_1 ) ).

thf(zf_stmt_65,negated_conjecture,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_2_and_3]) ).

thf(zip_derived_cl15,plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_65]) ).

thf('65',plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(hole_6_pigeons_7_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_6
      | ~ pigeon_7_in_hole_6 ) ).

thf(zf_stmt_66,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_7_and_8]) ).

thf(zip_derived_cl175,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_66]) ).

thf('66',plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_8_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(hole_2_pigeons_3_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_2
      | ~ pigeon_3_in_hole_2 ) ).

thf(zf_stmt_67,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_3_and_7]) ).

thf(zip_derived_cl52,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_67]) ).

thf('67',plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(hole_6_pigeons_2_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_6
      | ~ pigeon_2_in_hole_6 ) ).

thf(zf_stmt_68,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_2_and_7]) ).

thf(zip_derived_cl159,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_68]) ).

thf('68',plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(hole_6_pigeons_5_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_6
      | ~ pigeon_5_in_hole_6 ) ).

thf(zf_stmt_69,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_5_and_7]) ).

thf(zip_derived_cl171,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_69]) ).

thf('69',plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(hole_5_pigeons_3_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_5
      | ~ pigeon_3_in_hole_5 ) ).

thf(zf_stmt_70,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_3_and_7]) ).

thf(zip_derived_cl136,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_70]) ).

thf('70',plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf(hole_3_pigeons_3_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_3
      | ~ pigeon_3_in_hole_3 ) ).

thf(zf_stmt_71,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_3_and_7]) ).

thf(zip_derived_cl80,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_71]) ).

thf('71',plain,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(hole_6_pigeons_4_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_6
      | ~ pigeon_4_in_hole_6 ) ).

thf(zf_stmt_72,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_4_and_7]) ).

thf(zip_derived_cl168,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_72]) ).

thf('72',plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(hole_1_pigeons_5_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_1
      | ~ pigeon_5_in_hole_1 ) ).

thf(zf_stmt_73,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_5_and_6]) ).

thf(zip_derived_cl30,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_73]) ).

thf('73',plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(hole_2_pigeons_5_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_2
      | ~ pigeon_5_in_hole_2 ) ).

thf(zf_stmt_74,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_5_and_7]) ).

thf(zip_derived_cl59,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_74]) ).

thf('74',plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(hole_3_pigeons_6_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_3
      | ~ pigeon_6_in_hole_3 ) ).

thf(zf_stmt_75,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_6_and_7]) ).

thf(zip_derived_cl89,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_75]) ).

thf('75',plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(hole_3_pigeons_7_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_3
      | ~ pigeon_7_in_hole_3 ) ).

thf(zf_stmt_76,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_7_and_8]) ).

thf(zip_derived_cl91,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_76]) ).

thf('76',plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_8_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(hole_1_pigeons_2_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_1
      | ~ pigeon_2_in_hole_1 ) ).

thf(zf_stmt_77,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_2_and_5]) ).

thf(zip_derived_cl17,plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_77]) ).

thf('77',plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(hole_3_pigeons_4_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_3
      | ~ pigeon_4_in_hole_3 ) ).

thf(zf_stmt_78,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_4_and_7]) ).

thf(zip_derived_cl84,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_78]) ).

thf('78',plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(hole_5_pigeons_5_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_5
      | ~ pigeon_5_in_hole_5 ) ).

thf(zf_stmt_79,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_5_and_7]) ).

thf(zip_derived_cl143,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_79]) ).

thf('79',plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(hole_1_pigeons_5_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_1
      | ~ pigeon_5_in_hole_1 ) ).

thf(zf_stmt_80,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_5_and_8]) ).

thf(zip_derived_cl32,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_80]) ).

thf('80',plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(hole_3_pigeons_2_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_3
      | ~ pigeon_2_in_hole_3 ) ).

thf(zf_stmt_81,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_2_and_7]) ).

thf(zip_derived_cl75,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_81]) ).

thf('81',plain,
    ( ~ pigeon_2_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(hole_4_pigeons_5_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_4
      | ~ pigeon_5_in_hole_4 ) ).

thf(zf_stmt_82,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_5_and_7]) ).

thf(zip_derived_cl115,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_82]) ).

thf('82',plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(hole_1_pigeons_3_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_1
      | ~ pigeon_3_in_hole_1 ) ).

thf(zf_stmt_83,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_3_and_6]) ).

thf(zip_derived_cl23,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_83]) ).

thf('83',plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(hole_2_pigeons_7_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_2
      | ~ pigeon_7_in_hole_2 ) ).

thf(zf_stmt_84,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_7_and_8]) ).

thf(zip_derived_cl63,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_84]) ).

thf('84',plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(hole_1_pigeons_2_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_1
      | ~ pigeon_2_in_hole_1 ) ).

thf(zf_stmt_85,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_2_and_6]) ).

thf(zip_derived_cl18,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_85]) ).

thf('85',plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(hole_2_pigeons_4_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_2
      | ~ pigeon_4_in_hole_2 ) ).

thf(zf_stmt_86,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_4_and_7]) ).

thf(zip_derived_cl56,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_86]) ).

thf('86',plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(hole_4_pigeons_6_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_4
      | ~ pigeon_6_in_hole_4 ) ).

thf(zf_stmt_87,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_6_and_7]) ).

thf(zip_derived_cl117,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_87]) ).

thf('87',plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(hole_1_pigeons_6_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_1
      | ~ pigeon_6_in_hole_1 ) ).

thf(zf_stmt_88,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_6_and_8]) ).

thf(zip_derived_cl34,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_88]) ).

thf('88',plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_8_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(hole_1_pigeons_4_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_1
      | ~ pigeon_4_in_hole_1 ) ).

thf(zf_stmt_89,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_4_and_6]) ).

thf(zip_derived_cl27,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_89]) ).

thf('89',plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(hole_5_pigeons_6_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_5
      | ~ pigeon_6_in_hole_5 ) ).

thf(zf_stmt_90,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_6_and_7]) ).

thf(zip_derived_cl145,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_90]) ).

thf('90',plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(hole_2_pigeons_2_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_2
      | ~ pigeon_2_in_hole_2 ) ).

thf(zf_stmt_91,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_2_and_7]) ).

thf(zip_derived_cl47,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_91]) ).

thf('91',plain,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(hole_5_pigeons_7_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_5
      | ~ pigeon_7_in_hole_5 ) ).

thf(zf_stmt_92,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_7_and_8]) ).

thf(zip_derived_cl147,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_92]) ).

thf('92',plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(hole_4_pigeons_7_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_4
      | ~ pigeon_7_in_hole_4 ) ).

thf(zf_stmt_93,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_7_and_8]) ).

thf(zip_derived_cl119,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_93]) ).

thf('93',plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(hole_4_pigeons_2_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_4
      | ~ pigeon_2_in_hole_4 ) ).

thf(zf_stmt_94,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_2_and_7]) ).

thf(zip_derived_cl103,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_94]) ).

thf('94',plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(hole_4_pigeons_3_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_4
      | ~ pigeon_3_in_hole_4 ) ).

thf(zf_stmt_95,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_3_and_7]) ).

thf(zip_derived_cl108,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_95]) ).

thf('95',plain,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(hole_5_pigeons_4_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_5
      | ~ pigeon_4_in_hole_5 ) ).

thf(zf_stmt_96,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_4_and_7]) ).

thf(zip_derived_cl140,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_96]) ).

thf('96',plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(pigeon_7,conjecture,
    ~ ( pigeon_7_in_hole_7
      | pigeon_7_in_hole_6
      | pigeon_7_in_hole_5
      | pigeon_7_in_hole_4
      | pigeon_7_in_hole_3
      | pigeon_7_in_hole_2
      | pigeon_7_in_hole_1 ) ).

thf(zf_stmt_97,negated_conjecture,
    ( pigeon_7_in_hole_7
    | pigeon_7_in_hole_6
    | pigeon_7_in_hole_5
    | pigeon_7_in_hole_4
    | pigeon_7_in_hole_3
    | pigeon_7_in_hole_2
    | pigeon_7_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[pigeon_7]) ).

thf(zip_derived_cl6,plain,
    ( pigeon_7_in_hole_7
    | pigeon_7_in_hole_6
    | pigeon_7_in_hole_5
    | pigeon_7_in_hole_4
    | pigeon_7_in_hole_3
    | pigeon_7_in_hole_2
    | pigeon_7_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_97]) ).

thf('97',plain,
    ( pigeon_7_in_hole_4
    | pigeon_7_in_hole_5
    | pigeon_7_in_hole_7
    | pigeon_7_in_hole_2
    | pigeon_7_in_hole_3
    | pigeon_7_in_hole_6
    | pigeon_7_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(hole_4_pigeons_4_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_4
      | ~ pigeon_4_in_hole_4 ) ).

thf(zf_stmt_98,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_4_and_7]) ).

thf(zip_derived_cl112,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_98]) ).

thf('98',plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(hole_5_pigeons_2_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_5
      | ~ pigeon_2_in_hole_5 ) ).

thf(zf_stmt_99,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_2_and_7]) ).

thf(zip_derived_cl131,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_99]) ).

thf('99',plain,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(hole_1_pigeons_2_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_1
      | ~ pigeon_2_in_hole_1 ) ).

thf(zf_stmt_100,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_2_and_8]) ).

thf(zip_derived_cl20,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_100]) ).

thf('100',plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(hole_1_pigeons_3_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_1
      | ~ pigeon_3_in_hole_1 ) ).

thf(zf_stmt_101,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_3_and_8]) ).

thf(zip_derived_cl25,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_101]) ).

thf('101',plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_8_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(hole_1_pigeons_4_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_1
      | ~ pigeon_4_in_hole_1 ) ).

thf(zf_stmt_102,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_4_and_8]) ).

thf(zip_derived_cl29,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_102]) ).

thf('102',plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(hole_2_pigeons_6_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_2
      | ~ pigeon_6_in_hole_2 ) ).

thf(zf_stmt_103,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_6_and_7]) ).

thf(zip_derived_cl61,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_103]) ).

thf('103',plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(hole_1_pigeons_2_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_1
      | ~ pigeon_2_in_hole_1 ) ).

thf(zf_stmt_104,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_2_and_4]) ).

thf(zip_derived_cl16,plain,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_104]) ).

thf('104',plain,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(hole_3_pigeons_5_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_3
      | ~ pigeon_5_in_hole_3 ) ).

thf(zf_stmt_105,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_5_and_7]) ).

thf(zip_derived_cl87,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_105]) ).

thf('105',plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(hole_6_pigeons_3_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_6
      | ~ pigeon_3_in_hole_6 ) ).

thf(zf_stmt_106,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_3_and_7]) ).

thf(zip_derived_cl164,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_106]) ).

thf('106',plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(hole_1_pigeons_4_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_1
      | ~ pigeon_4_in_hole_1 ) ).

thf(zf_stmt_107,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_4_and_5]) ).

thf(zip_derived_cl26,plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_107]) ).

thf('107',plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(hole_2_pigeons_4_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_2
      | ~ pigeon_4_in_hole_2 ) ).

thf(zf_stmt_108,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_4_and_6]) ).

thf(zip_derived_cl55,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_108]) ).

thf('108',plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(hole_6_pigeons_3_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_6
      | ~ pigeon_3_in_hole_6 ) ).

thf(zf_stmt_109,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_3_and_4]) ).

thf(zip_derived_cl161,plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_109]) ).

thf('109',plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(hole_3_pigeons_3_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_3
      | ~ pigeon_3_in_hole_3 ) ).

thf(zf_stmt_110,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_3_and_6]) ).

thf(zip_derived_cl79,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_110]) ).

thf('110',plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(hole_3_pigeons_6_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_3
      | ~ pigeon_6_in_hole_3 ) ).

thf(zf_stmt_111,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_6_and_8]) ).

thf(zip_derived_cl90,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_111]) ).

thf('111',plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_8_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(hole_6_pigeons_4_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_6
      | ~ pigeon_4_in_hole_6 ) ).

thf(zf_stmt_112,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_4_and_8]) ).

thf(zip_derived_cl169,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_112]) ).

thf('112',plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_8_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(hole_3_pigeons_5_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_3
      | ~ pigeon_5_in_hole_3 ) ).

thf(zf_stmt_113,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_5_and_6]) ).

thf(zip_derived_cl86,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_113]) ).

thf('113',plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(hole_6_pigeons_2_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_6
      | ~ pigeon_2_in_hole_6 ) ).

thf(zf_stmt_114,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_2_and_4]) ).

thf(zip_derived_cl156,plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_114]) ).

thf('114',plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl156]) ).

thf(hole_3_pigeons_2_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_3
      | ~ pigeon_2_in_hole_3 ) ).

thf(zf_stmt_115,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_2_and_6]) ).

thf(zip_derived_cl74,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_115]) ).

thf('115',plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(hole_6_pigeons_4_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_6
      | ~ pigeon_4_in_hole_6 ) ).

thf(zf_stmt_116,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_4_and_5]) ).

thf(zip_derived_cl166,plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_116]) ).

thf('116',plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(hole_2_pigeons_2_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_2
      | ~ pigeon_2_in_hole_2 ) ).

thf(zf_stmt_117,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_2_and_4]) ).

thf(zip_derived_cl44,plain,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_117]) ).

thf('117',plain,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(hole_3_pigeons_3_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_3
      | ~ pigeon_3_in_hole_3 ) ).

thf(zf_stmt_118,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_3_and_5]) ).

thf(zip_derived_cl78,plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_118]) ).

thf('118',plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(hole_3_pigeons_5_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_3
      | ~ pigeon_5_in_hole_3 ) ).

thf(zf_stmt_119,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_5_and_8]) ).

thf(zip_derived_cl88,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_119]) ).

thf('119',plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_8_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl88]) ).

thf(hole_2_pigeons_4_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_2
      | ~ pigeon_4_in_hole_2 ) ).

thf(zf_stmt_120,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_4_and_8]) ).

thf(zip_derived_cl57,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_120]) ).

thf('120',plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(hole_2_pigeons_3_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_2
      | ~ pigeon_3_in_hole_2 ) ).

thf(zf_stmt_121,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_3_and_4]) ).

thf(zip_derived_cl49,plain,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_121]) ).

thf('121',plain,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(hole_3_pigeons_2_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_3
      | ~ pigeon_2_in_hole_3 ) ).

thf(zf_stmt_122,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_2_and_5]) ).

thf(zip_derived_cl73,plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_122]) ).

thf('122',plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(hole_4_pigeons_2_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_4
      | ~ pigeon_2_in_hole_4 ) ).

thf(zf_stmt_123,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_2_and_4]) ).

thf(zip_derived_cl100,plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_123]) ).

thf('123',plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(hole_5_pigeons_2_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_5
      | ~ pigeon_2_in_hole_5 ) ).

thf(zf_stmt_124,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_2_and_4]) ).

thf(zip_derived_cl128,plain,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_124]) ).

thf('124',plain,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl128]) ).

thf(hole_5_pigeons_4_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_5
      | ~ pigeon_4_in_hole_5 ) ).

thf(zf_stmt_125,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_4_and_8]) ).

thf(zip_derived_cl141,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_125]) ).

thf('125',plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(hole_4_pigeons_3_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_4
      | ~ pigeon_3_in_hole_4 ) ).

thf(zf_stmt_126,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_3_and_4]) ).

thf(zip_derived_cl105,plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_126]) ).

thf('126',plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(hole_4_pigeons_4_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_4
      | ~ pigeon_4_in_hole_4 ) ).

thf(zf_stmt_127,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_4_and_8]) ).

thf(zip_derived_cl113,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_127]) ).

thf('127',plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_8_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(hole_3_pigeons_2_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_3
      | ~ pigeon_2_in_hole_3 ) ).

thf(zf_stmt_128,negated_conjecture,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_2_and_3]) ).

thf(zip_derived_cl71,plain,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_128]) ).

thf('128',plain,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(hole_3_pigeons_2_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_3
      | ~ pigeon_2_in_hole_3 ) ).

thf(zf_stmt_129,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_2_and_8]) ).

thf(zip_derived_cl76,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_129]) ).

thf('129',plain,
    ( ~ pigeon_2_in_hole_3
    | ~ pigeon_8_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(hole_2_pigeons_4_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_2
      | ~ pigeon_4_in_hole_2 ) ).

thf(zf_stmt_130,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_4_and_5]) ).

thf(zip_derived_cl54,plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_130]) ).

thf('130',plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(hole_5_pigeons_3_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_5
      | ~ pigeon_3_in_hole_5 ) ).

thf(zf_stmt_131,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_3_and_4]) ).

thf(zip_derived_cl133,plain,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_131]) ).

thf('131',plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(hole_6_pigeons_4_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_6
      | ~ pigeon_4_in_hole_6 ) ).

thf(zf_stmt_132,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_4_and_6]) ).

thf(zip_derived_cl167,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_132]) ).

thf('132',plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(hole_3_pigeons_3_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_3
      | ~ pigeon_3_in_hole_3 ) ).

thf(zf_stmt_133,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_3_and_8]) ).

thf(zip_derived_cl81,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_133]) ).

thf('133',plain,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_8_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(hole_6_pigeons_2_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_6
      | ~ pigeon_2_in_hole_6 ) ).

thf(zf_stmt_134,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_2_and_5]) ).

thf(zip_derived_cl157,plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_134]) ).

thf('134',plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(hole_2_pigeons_3_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_2
      | ~ pigeon_3_in_hole_2 ) ).

thf(zf_stmt_135,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_3_and_6]) ).

thf(zip_derived_cl51,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_135]) ).

thf('135',plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(hole_2_pigeons_3_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_2
      | ~ pigeon_3_in_hole_2 ) ).

thf(zf_stmt_136,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_3_and_8]) ).

thf(zip_derived_cl53,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_136]) ).

thf('136',plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(hole_6_pigeons_5_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_6
      | ~ pigeon_5_in_hole_6 ) ).

thf(zf_stmt_137,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_5_and_8]) ).

thf(zip_derived_cl172,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_137]) ).

thf('137',plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_8_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(hole_5_pigeons_3_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_5
      | ~ pigeon_3_in_hole_5 ) ).

thf(zf_stmt_138,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_3_and_5]) ).

thf(zip_derived_cl134,plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_138]) ).

thf('138',plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(hole_6_pigeons_5_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_6
      | ~ pigeon_5_in_hole_6 ) ).

thf(zf_stmt_139,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_5_and_6]) ).

thf(zip_derived_cl170,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_139]) ).

thf('139',plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(hole_2_pigeons_2_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_2
      | ~ pigeon_2_in_hole_2 ) ).

thf(zf_stmt_140,negated_conjecture,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_2_and_3]) ).

thf(zip_derived_cl43,plain,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_140]) ).

thf('140',plain,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(hole_2_pigeons_6_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_2
      | ~ pigeon_6_in_hole_2 ) ).

thf(zf_stmt_141,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_6_and_8]) ).

thf(zip_derived_cl62,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_141]) ).

thf('141',plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(hole_5_pigeons_2_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_5
      | ~ pigeon_2_in_hole_5 ) ).

thf(zf_stmt_142,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_2_and_5]) ).

thf(zip_derived_cl129,plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_142]) ).

thf('142',plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(hole_5_pigeons_5_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_5
      | ~ pigeon_5_in_hole_5 ) ).

thf(zf_stmt_143,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_5_and_8]) ).

thf(zip_derived_cl144,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_143]) ).

thf('143',plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_8_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(hole_4_pigeons_5_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_4
      | ~ pigeon_5_in_hole_4 ) ).

thf(zf_stmt_144,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_5_and_8]) ).

thf(zip_derived_cl116,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_144]) ).

thf('144',plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(hole_2_pigeons_2_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_2
      | ~ pigeon_2_in_hole_2 ) ).

thf(zf_stmt_145,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_2_and_6]) ).

thf(zip_derived_cl46,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_145]) ).

thf('145',plain,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(hole_2_pigeons_2_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_2
      | ~ pigeon_2_in_hole_2 ) ).

thf(zf_stmt_146,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_2_and_8]) ).

thf(zip_derived_cl48,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_146]) ).

thf('146',plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(hole_6_pigeons_3_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_6
      | ~ pigeon_3_in_hole_6 ) ).

thf(zf_stmt_147,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_3_and_5]) ).

thf(zip_derived_cl162,plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_147]) ).

thf('147',plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(hole_4_pigeons_2_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_4
      | ~ pigeon_2_in_hole_4 ) ).

thf(zf_stmt_148,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_2_and_5]) ).

thf(zip_derived_cl101,plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_148]) ).

thf('148',plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(hole_5_pigeons_3_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_5
      | ~ pigeon_3_in_hole_5 ) ).

thf(zf_stmt_149,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_3_and_6]) ).

thf(zip_derived_cl135,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_149]) ).

thf('149',plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(hole_4_pigeons_3_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_4
      | ~ pigeon_3_in_hole_4 ) ).

thf(zf_stmt_150,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_3_and_6]) ).

thf(zip_derived_cl107,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_150]) ).

thf('150',plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(hole_5_pigeons_3_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_5
      | ~ pigeon_3_in_hole_5 ) ).

thf(zf_stmt_151,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_3_and_8]) ).

thf(zip_derived_cl137,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_151]) ).

thf('151',plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_8_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(pigeon_3,conjecture,
    ~ ( pigeon_3_in_hole_7
      | pigeon_3_in_hole_6
      | pigeon_3_in_hole_5
      | pigeon_3_in_hole_4
      | pigeon_3_in_hole_3
      | pigeon_3_in_hole_2
      | pigeon_3_in_hole_1 ) ).

thf(zf_stmt_152,negated_conjecture,
    ( pigeon_3_in_hole_7
    | pigeon_3_in_hole_6
    | pigeon_3_in_hole_5
    | pigeon_3_in_hole_4
    | pigeon_3_in_hole_3
    | pigeon_3_in_hole_2
    | pigeon_3_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[pigeon_3]) ).

thf(zip_derived_cl2,plain,
    ( pigeon_3_in_hole_7
    | pigeon_3_in_hole_6
    | pigeon_3_in_hole_5
    | pigeon_3_in_hole_4
    | pigeon_3_in_hole_3
    | pigeon_3_in_hole_2
    | pigeon_3_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_152]) ).

thf('152',plain,
    ( pigeon_3_in_hole_4
    | pigeon_3_in_hole_5
    | pigeon_3_in_hole_6
    | pigeon_3_in_hole_1
    | pigeon_3_in_hole_7
    | pigeon_3_in_hole_3
    | pigeon_3_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(hole_4_pigeons_3_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_4
      | ~ pigeon_3_in_hole_4 ) ).

thf(zf_stmt_153,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_3_and_8]) ).

thf(zip_derived_cl109,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_153]) ).

thf('153',plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(hole_5_pigeons_2_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_5
      | ~ pigeon_2_in_hole_5 ) ).

thf(zf_stmt_154,negated_conjecture,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_2_and_3]) ).

thf(zip_derived_cl127,plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_154]) ).

thf('154',plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(hole_6_pigeons_2_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_6
      | ~ pigeon_2_in_hole_6 ) ).

thf(zf_stmt_155,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_2_and_6]) ).

thf(zip_derived_cl158,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_155]) ).

thf('155',plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(hole_6_pigeons_6_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_6
      | ~ pigeon_6_in_hole_6 ) ).

thf(zf_stmt_156,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_6_and_8]) ).

thf(zip_derived_cl174,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_156]) ).

thf('156',plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_8_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(hole_4_pigeons_2_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_4
      | ~ pigeon_2_in_hole_4 ) ).

thf(zf_stmt_157,negated_conjecture,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_2_and_3]) ).

thf(zip_derived_cl99,plain,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_157]) ).

thf('157',plain,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(hole_5_pigeons_2_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_5
      | ~ pigeon_2_in_hole_5 ) ).

thf(zf_stmt_158,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_2_and_6]) ).

thf(zip_derived_cl130,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_158]) ).

thf('158',plain,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(hole_5_pigeons_6_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_5
      | ~ pigeon_6_in_hole_5 ) ).

thf(zf_stmt_159,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_6_and_8]) ).

thf(zip_derived_cl146,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_159]) ).

thf('159',plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_8_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(pigeon_8,conjecture,
    ~ ( pigeon_8_in_hole_7
      | pigeon_8_in_hole_6
      | pigeon_8_in_hole_5
      | pigeon_8_in_hole_4
      | pigeon_8_in_hole_3
      | pigeon_8_in_hole_2
      | pigeon_8_in_hole_1 ) ).

thf(zf_stmt_160,negated_conjecture,
    ( pigeon_8_in_hole_7
    | pigeon_8_in_hole_6
    | pigeon_8_in_hole_5
    | pigeon_8_in_hole_4
    | pigeon_8_in_hole_3
    | pigeon_8_in_hole_2
    | pigeon_8_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[pigeon_8]) ).

thf(zip_derived_cl7,plain,
    ( pigeon_8_in_hole_7
    | pigeon_8_in_hole_6
    | pigeon_8_in_hole_5
    | pigeon_8_in_hole_4
    | pigeon_8_in_hole_3
    | pigeon_8_in_hole_2
    | pigeon_8_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_160]) ).

thf('160',plain,
    ( pigeon_8_in_hole_4
    | pigeon_8_in_hole_5
    | pigeon_8_in_hole_2
    | pigeon_8_in_hole_7
    | pigeon_8_in_hole_1
    | pigeon_8_in_hole_3
    | pigeon_8_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(hole_4_pigeons_2_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_4
      | ~ pigeon_2_in_hole_4 ) ).

thf(zf_stmt_161,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_2_and_6]) ).

thf(zip_derived_cl102,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_161]) ).

thf('161',plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(hole_5_pigeons_2_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_5
      | ~ pigeon_2_in_hole_5 ) ).

thf(zf_stmt_162,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_2_and_8]) ).

thf(zip_derived_cl132,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_162]) ).

thf('162',plain,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_8_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl132]) ).

thf(hole_6_pigeons_2_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_6
      | ~ pigeon_2_in_hole_6 ) ).

thf(zf_stmt_163,negated_conjecture,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_2_and_3]) ).

thf(zip_derived_cl155,plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_163]) ).

thf('163',plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(hole_6_pigeons_3_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_6
      | ~ pigeon_3_in_hole_6 ) ).

thf(zf_stmt_164,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_3_and_6]) ).

thf(zip_derived_cl163,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_164]) ).

thf('164',plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(hole_6_pigeons_3_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_6
      | ~ pigeon_3_in_hole_6 ) ).

thf(zf_stmt_165,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_3_and_8]) ).

thf(zip_derived_cl165,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_165]) ).

thf('165',plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_8_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(hole_4_pigeons_2_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_4
      | ~ pigeon_2_in_hole_4 ) ).

thf(zf_stmt_166,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_2_and_8]) ).

thf(zip_derived_cl104,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_166]) ).

thf('166',plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(hole_2_pigeons_2_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_2
      | ~ pigeon_2_in_hole_2 ) ).

thf(zf_stmt_167,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_2_and_5]) ).

thf(zip_derived_cl45,plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_167]) ).

thf('167',plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(hole_2_pigeons_3_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_2
      | ~ pigeon_3_in_hole_2 ) ).

thf(zf_stmt_168,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_3_and_5]) ).

thf(zip_derived_cl50,plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_168]) ).

thf('168',plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(hole_2_pigeons_5_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_2
      | ~ pigeon_5_in_hole_2 ) ).

thf(zf_stmt_169,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_5_and_6]) ).

thf(zip_derived_cl58,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_169]) ).

thf('169',plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(hole_2_pigeons_5_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_2
      | ~ pigeon_5_in_hole_2 ) ).

thf(zf_stmt_170,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference('cnf.neg',[status(esa)],[hole_2_pigeons_5_and_8]) ).

thf(zip_derived_cl60,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference(cnf,[status(esa)],[zf_stmt_170]) ).

thf('170',plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(hole_4_pigeons_6_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_4
      | ~ pigeon_6_in_hole_4 ) ).

thf(zf_stmt_171,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_6_and_8]) ).

thf(zip_derived_cl118,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_171]) ).

thf('171',plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(hole_3_pigeons_2_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_3
      | ~ pigeon_2_in_hole_3 ) ).

thf(zf_stmt_172,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_2_and_4]) ).

thf(zip_derived_cl72,plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_172]) ).

thf('172',plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(hole_3_pigeons_3_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_3
      | ~ pigeon_3_in_hole_3 ) ).

thf(zf_stmt_173,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_3_and_4]) ).

thf(zip_derived_cl77,plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_173]) ).

thf('173',plain,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(hole_3_pigeons_4_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_3
      | ~ pigeon_4_in_hole_3 ) ).

thf(zf_stmt_174,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_4_and_5]) ).

thf(zip_derived_cl82,plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_174]) ).

thf('174',plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(hole_3_pigeons_4_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_3
      | ~ pigeon_4_in_hole_3 ) ).

thf(zf_stmt_175,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_4_and_6]) ).

thf(zip_derived_cl83,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_175]) ).

thf('175',plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(hole_3_pigeons_4_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_3
      | ~ pigeon_4_in_hole_3 ) ).

thf(zf_stmt_176,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference('cnf.neg',[status(esa)],[hole_3_pigeons_4_and_8]) ).

thf(zip_derived_cl85,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(cnf,[status(esa)],[zf_stmt_176]) ).

thf('176',plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_8_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(hole_4_pigeons_3_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_4
      | ~ pigeon_3_in_hole_4 ) ).

thf(zf_stmt_177,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_3_and_5]) ).

thf(zip_derived_cl106,plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_177]) ).

thf('177',plain,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(hole_1_pigeons_2_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_1
      | ~ pigeon_2_in_hole_1 ) ).

thf(zf_stmt_178,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_2_and_7]) ).

thf(zip_derived_cl19,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_178]) ).

thf('178',plain,
    ( ~ pigeon_2_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(hole_1_pigeons_3_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_1
      | ~ pigeon_3_in_hole_1 ) ).

thf(zf_stmt_179,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_3_and_7]) ).

thf(zip_derived_cl24,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_179]) ).

thf('179',plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(hole_1_pigeons_4_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_1
      | ~ pigeon_4_in_hole_1 ) ).

thf(zf_stmt_180,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_4_and_7]) ).

thf(zip_derived_cl28,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_180]) ).

thf('180',plain,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(hole_1_pigeons_5_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_1
      | ~ pigeon_5_in_hole_1 ) ).

thf(zf_stmt_181,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_5_and_7]) ).

thf(zip_derived_cl31,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_181]) ).

thf('181',plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(hole_1_pigeons_6_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_1
      | ~ pigeon_6_in_hole_1 ) ).

thf(zf_stmt_182,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_6_and_7]) ).

thf(zip_derived_cl33,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_182]) ).

thf('182',plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(hole_1_pigeons_7_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_1
      | ~ pigeon_7_in_hole_1 ) ).

thf(zf_stmt_183,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[hole_1_pigeons_7_and_8]) ).

thf(zip_derived_cl35,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_183]) ).

thf('183',plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(hole_7_pigeons_1_and_2,conjecture,
    ~ ( ~ pigeon_2_in_hole_7
      | ~ pigeon_1_in_hole_7 ) ).

thf(zf_stmt_184,negated_conjecture,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_1_and_2]) ).

thf(zip_derived_cl176,plain,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_184]) ).

thf('184',plain,
    ( ~ pigeon_1_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl176]) ).

thf(hole_7_pigeons_1_and_3,conjecture,
    ~ ( ~ pigeon_3_in_hole_7
      | ~ pigeon_1_in_hole_7 ) ).

thf(zf_stmt_185,negated_conjecture,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_1_and_3]) ).

thf(zip_derived_cl177,plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_185]) ).

thf('185',plain,
    ( ~ pigeon_1_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(hole_7_pigeons_1_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_7
      | ~ pigeon_1_in_hole_7 ) ).

thf(zf_stmt_186,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_1_and_4]) ).

thf(zip_derived_cl178,plain,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_186]) ).

thf('186',plain,
    ( ~ pigeon_1_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(hole_7_pigeons_1_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_7
      | ~ pigeon_1_in_hole_7 ) ).

thf(zf_stmt_187,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_1_and_5]) ).

thf(zip_derived_cl179,plain,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_187]) ).

thf('187',plain,
    ( ~ pigeon_1_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(hole_7_pigeons_1_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_7
      | ~ pigeon_1_in_hole_7 ) ).

thf(zf_stmt_188,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_1_and_6]) ).

thf(zip_derived_cl180,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_188]) ).

thf('188',plain,
    ( ~ pigeon_1_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(hole_7_pigeons_1_and_7,conjecture,
    ~ ( ~ pigeon_7_in_hole_7
      | ~ pigeon_1_in_hole_7 ) ).

thf(zf_stmt_189,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_1_and_7]) ).

thf(zip_derived_cl181,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_189]) ).

thf('189',plain,
    ( ~ pigeon_1_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(hole_7_pigeons_1_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_7
      | ~ pigeon_1_in_hole_7 ) ).

thf(zf_stmt_190,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference('cnf.neg',[status(esa)],[hole_7_pigeons_1_and_8]) ).

thf(zip_derived_cl182,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf,[status(esa)],[zf_stmt_190]) ).

thf('190',plain,
    ( ~ pigeon_1_in_hole_7
    | ~ pigeon_8_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(hole_5_pigeons_4_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_5
      | ~ pigeon_4_in_hole_5 ) ).

thf(zf_stmt_191,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_4_and_6]) ).

thf(zip_derived_cl139,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_191]) ).

thf('191',plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(hole_5_pigeons_5_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_5
      | ~ pigeon_5_in_hole_5 ) ).

thf(zf_stmt_192,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_5_and_6]) ).

thf(zip_derived_cl142,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_192]) ).

thf('192',plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(hole_4_pigeons_4_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_4
      | ~ pigeon_4_in_hole_4 ) ).

thf(zf_stmt_193,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_4_and_6]) ).

thf(zip_derived_cl111,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_193]) ).

thf('193',plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(hole_4_pigeons_5_and_6,conjecture,
    ~ ( ~ pigeon_6_in_hole_4
      | ~ pigeon_5_in_hole_4 ) ).

thf(zf_stmt_194,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_5_and_6]) ).

thf(zip_derived_cl114,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_194]) ).

thf('194',plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(hole_4_pigeons_4_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_4
      | ~ pigeon_4_in_hole_4 ) ).

thf(zf_stmt_195,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_4_and_5]) ).

thf(zip_derived_cl110,plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_195]) ).

thf('195',plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(pigeon_5,conjecture,
    ~ ( pigeon_5_in_hole_7
      | pigeon_5_in_hole_6
      | pigeon_5_in_hole_5
      | pigeon_5_in_hole_4
      | pigeon_5_in_hole_3
      | pigeon_5_in_hole_2
      | pigeon_5_in_hole_1 ) ).

thf(zf_stmt_196,negated_conjecture,
    ( pigeon_5_in_hole_7
    | pigeon_5_in_hole_6
    | pigeon_5_in_hole_5
    | pigeon_5_in_hole_4
    | pigeon_5_in_hole_3
    | pigeon_5_in_hole_2
    | pigeon_5_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[pigeon_5]) ).

thf(zip_derived_cl4,plain,
    ( pigeon_5_in_hole_7
    | pigeon_5_in_hole_6
    | pigeon_5_in_hole_5
    | pigeon_5_in_hole_4
    | pigeon_5_in_hole_3
    | pigeon_5_in_hole_2
    | pigeon_5_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_196]) ).

thf('196',plain,
    ( pigeon_5_in_hole_4
    | pigeon_5_in_hole_7
    | pigeon_5_in_hole_2
    | pigeon_5_in_hole_3
    | pigeon_5_in_hole_6
    | pigeon_5_in_hole_5
    | pigeon_5_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(hole_5_pigeons_1_and_4,conjecture,
    ~ ( ~ pigeon_4_in_hole_5
      | ~ pigeon_1_in_hole_5 ) ).

thf(zf_stmt_197,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_1_and_4]) ).

thf(zip_derived_cl122,plain,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_197]) ).

thf('197',plain,
    ( ~ pigeon_1_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(hole_5_pigeons_4_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_5
      | ~ pigeon_4_in_hole_5 ) ).

thf(zf_stmt_198,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference('cnf.neg',[status(esa)],[hole_5_pigeons_4_and_5]) ).

thf(zip_derived_cl138,plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(cnf,[status(esa)],[zf_stmt_198]) ).

thf('198',plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(hole_4_pigeons_1_and_5,conjecture,
    ~ ( ~ pigeon_5_in_hole_4
      | ~ pigeon_1_in_hole_4 ) ).

thf(zf_stmt_199,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference('cnf.neg',[status(esa)],[hole_4_pigeons_1_and_5]) ).

thf(zip_derived_cl95,plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf,[status(esa)],[zf_stmt_199]) ).

thf('199',plain,
    ( ~ pigeon_1_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(pigeon_4,conjecture,
    ~ ( pigeon_4_in_hole_7
      | pigeon_4_in_hole_6
      | pigeon_4_in_hole_5
      | pigeon_4_in_hole_4
      | pigeon_4_in_hole_3
      | pigeon_4_in_hole_2
      | pigeon_4_in_hole_1 ) ).

thf(zf_stmt_200,negated_conjecture,
    ( pigeon_4_in_hole_7
    | pigeon_4_in_hole_6
    | pigeon_4_in_hole_5
    | pigeon_4_in_hole_4
    | pigeon_4_in_hole_3
    | pigeon_4_in_hole_2
    | pigeon_4_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[pigeon_4]) ).

thf(zip_derived_cl3,plain,
    ( pigeon_4_in_hole_7
    | pigeon_4_in_hole_6
    | pigeon_4_in_hole_5
    | pigeon_4_in_hole_4
    | pigeon_4_in_hole_3
    | pigeon_4_in_hole_2
    | pigeon_4_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_200]) ).

thf('200',plain,
    ( pigeon_4_in_hole_5
    | pigeon_4_in_hole_4
    | pigeon_4_in_hole_6
    | pigeon_4_in_hole_1
    | pigeon_4_in_hole_7
    | pigeon_4_in_hole_2
    | pigeon_4_in_hole_3 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(pigeon_6,conjecture,
    ~ ( pigeon_6_in_hole_7
      | pigeon_6_in_hole_6
      | pigeon_6_in_hole_5
      | pigeon_6_in_hole_4
      | pigeon_6_in_hole_3
      | pigeon_6_in_hole_2
      | pigeon_6_in_hole_1 ) ).

thf(zf_stmt_201,negated_conjecture,
    ( pigeon_6_in_hole_7
    | pigeon_6_in_hole_6
    | pigeon_6_in_hole_5
    | pigeon_6_in_hole_4
    | pigeon_6_in_hole_3
    | pigeon_6_in_hole_2
    | pigeon_6_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[pigeon_6]) ).

thf(zip_derived_cl5,plain,
    ( pigeon_6_in_hole_7
    | pigeon_6_in_hole_6
    | pigeon_6_in_hole_5
    | pigeon_6_in_hole_4
    | pigeon_6_in_hole_3
    | pigeon_6_in_hole_2
    | pigeon_6_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_201]) ).

thf('201',plain,
    ( pigeon_6_in_hole_4
    | pigeon_6_in_hole_5
    | pigeon_6_in_hole_1
    | pigeon_6_in_hole_3
    | pigeon_6_in_hole_2
    | pigeon_6_in_hole_6
    | pigeon_6_in_hole_7 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(hole_6_pigeons_2_and_8,conjecture,
    ~ ( ~ pigeon_8_in_hole_6
      | ~ pigeon_2_in_hole_6 ) ).

thf(zf_stmt_202,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference('cnf.neg',[status(esa)],[hole_6_pigeons_2_and_8]) ).

thf(zip_derived_cl160,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf,[status(esa)],[zf_stmt_202]) ).

thf('202',plain,
    ( ~ pigeon_2_in_hole_6
    | ~ pigeon_8_in_hole_6 ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf(pigeon_2,conjecture,
    ~ ( pigeon_2_in_hole_7
      | pigeon_2_in_hole_6
      | pigeon_2_in_hole_5
      | pigeon_2_in_hole_4
      | pigeon_2_in_hole_3
      | pigeon_2_in_hole_2
      | pigeon_2_in_hole_1 ) ).

thf(zf_stmt_203,negated_conjecture,
    ( pigeon_2_in_hole_7
    | pigeon_2_in_hole_6
    | pigeon_2_in_hole_5
    | pigeon_2_in_hole_4
    | pigeon_2_in_hole_3
    | pigeon_2_in_hole_2
    | pigeon_2_in_hole_1 ),
    inference('cnf.neg',[status(esa)],[pigeon_2]) ).

thf(zip_derived_cl1,plain,
    ( pigeon_2_in_hole_7
    | pigeon_2_in_hole_6
    | pigeon_2_in_hole_5
    | pigeon_2_in_hole_4
    | pigeon_2_in_hole_3
    | pigeon_2_in_hole_2
    | pigeon_2_in_hole_1 ),
    inference(cnf,[status(esa)],[zf_stmt_203]) ).

thf('203',plain,
    ( pigeon_2_in_hole_6
    | pigeon_2_in_hole_4
    | pigeon_2_in_hole_7
    | pigeon_2_in_hole_2
    | pigeon_2_in_hole_3
    | pigeon_2_in_hole_5
    | pigeon_2_in_hole_1 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl652,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : MSC007-1.008 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EeQ9FjxPVZ true
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 13:41:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.97/0.93  % Solved by fo/fo1_av.sh.
% 1.97/0.93  % done 0 iterations in 0.138s
% 1.97/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.97/0.93  % SZS output start Refutation
% See solution above
% 1.97/0.93  
% 1.97/0.93  
% 1.97/0.93  % Terminating...
% 2.14/1.02  % Runner terminated.
% 2.14/1.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------