TSTP Solution File: PUZ015-2.006 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ015-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fsNi24z3WK true

% Computer : n019.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 13:30:37 EDT 2023

% Result   : Unsatisfiable 0.21s 0.83s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  146
% Syntax   : Number of formulae    :  417 (  13 unt;  57 typ;   0 def)
%            Number of atoms       :  799 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives : 1086 ( 647   ~; 436   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   3  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   58 (  57 usr;  58 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(horizontal_1_3_type,type,
    horizontal_1_3: $o ).

thf(vertical_1_5_type,type,
    vertical_1_5: $o ).

thf(vertical_2_1_type,type,
    vertical_2_1: $o ).

thf(vertical_3_2_type,type,
    vertical_3_2: $o ).

thf(horizontal_3_4_type,type,
    horizontal_3_4: $o ).

thf(horizontal_5_5_type,type,
    horizontal_5_5: $o ).

thf(vertical_4_3_type,type,
    vertical_4_3: $o ).

thf(horizontal_6_2_type,type,
    horizontal_6_2: $o ).

thf(vertical_1_2_type,type,
    vertical_1_2: $o ).

thf(vertical_2_4_type,type,
    vertical_2_4: $o ).

thf(vertical_2_6_type,type,
    vertical_2_6: $o ).

thf(horizontal_4_3_type,type,
    horizontal_4_3: $o ).

thf(vertical_1_3_type,type,
    vertical_1_3: $o ).

thf(vertical_5_2_type,type,
    vertical_5_2: $o ).

thf(vertical_2_2_type,type,
    vertical_2_2: $o ).

thf(horizontal_5_1_type,type,
    horizontal_5_1: $o ).

thf(horizontal_5_4_type,type,
    horizontal_5_4: $o ).

thf(horizontal_1_2_type,type,
    horizontal_1_2: $o ).

thf(horizontal_1_5_type,type,
    horizontal_1_5: $o ).

thf(horizontal_3_3_type,type,
    horizontal_3_3: $o ).

thf(vertical_1_4_type,type,
    vertical_1_4: $o ).

thf(vertical_5_3_type,type,
    vertical_5_3: $o ).

thf(vertical_5_6_type,type,
    vertical_5_6: $o ).

thf(vertical_3_1_type,type,
    vertical_3_1: $o ).

thf(horizontal_4_4_type,type,
    horizontal_4_4: $o ).

thf(horizontal_3_2_type,type,
    horizontal_3_2: $o ).

thf(horizontal_3_5_type,type,
    horizontal_3_5: $o ).

thf(vertical_4_5_type,type,
    vertical_4_5: $o ).

thf(horizontal_5_3_type,type,
    horizontal_5_3: $o ).

thf(vertical_4_4_type,type,
    vertical_4_4: $o ).

thf(vertical_4_2_type,type,
    vertical_4_2: $o ).

thf(horizontal_4_5_type,type,
    horizontal_4_5: $o ).

thf(horizontal_5_2_type,type,
    horizontal_5_2: $o ).

thf(vertical_3_5_type,type,
    vertical_3_5: $o ).

thf(vertical_4_6_type,type,
    vertical_4_6: $o ).

thf(vertical_2_5_type,type,
    vertical_2_5: $o ).

thf(vertical_1_1_type,type,
    vertical_1_1: $o ).

thf(horizontal_6_3_type,type,
    horizontal_6_3: $o ).

thf(horizontal_3_1_type,type,
    horizontal_3_1: $o ).

thf(vertical_3_6_type,type,
    vertical_3_6: $o ).

thf(horizontal_2_5_type,type,
    horizontal_2_5: $o ).

thf(vertical_3_4_type,type,
    vertical_3_4: $o ).

thf(vertical_4_1_type,type,
    vertical_4_1: $o ).

thf(horizontal_1_1_type,type,
    horizontal_1_1: $o ).

thf(vertical_3_3_type,type,
    vertical_3_3: $o ).

thf(vertical_2_3_type,type,
    vertical_2_3: $o ).

thf(horizontal_4_1_type,type,
    horizontal_4_1: $o ).

thf(horizontal_6_1_type,type,
    horizontal_6_1: $o ).

thf(vertical_5_1_type,type,
    vertical_5_1: $o ).

thf(horizontal_2_1_type,type,
    horizontal_2_1: $o ).

thf(vertical_5_4_type,type,
    vertical_5_4: $o ).

thf(horizontal_4_2_type,type,
    horizontal_4_2: $o ).

thf(vertical_1_6_type,type,
    vertical_1_6: $o ).

thf(horizontal_1_4_type,type,
    horizontal_1_4: $o ).

thf(horizontal_2_3_type,type,
    horizontal_2_3: $o ).

thf(horizontal_2_4_type,type,
    horizontal_2_4: $o ).

thf(horizontal_2_2_type,type,
    horizontal_2_2: $o ).

thf(unique_cover1_3_1,conjecture,
    ~ ( ~ vertical_3_1
      | ~ horizontal_3_1 ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ~ vertical_3_1
    | ~ horizontal_3_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_3_1]) ).

thf(zip_derived_cl81,plain,
    ( ~ vertical_3_1
    | ~ horizontal_3_1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(unique_cover4_2_2,conjecture,
    ~ ( ~ horizontal_2_1
      | ~ vertical_2_2 ) ).

thf(zf_stmt_1,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_2_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_2_2]) ).

thf(zip_derived_cl57,plain,
    ( ~ horizontal_2_1
    | ~ vertical_2_2 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf('1',plain,
    ( ~ vertical_2_2
    | ~ horizontal_2_1 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(unique_cover4_4_4,conjecture,
    ~ ( ~ horizontal_4_3
      | ~ vertical_4_4 ) ).

thf(zf_stmt_2,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_4_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_4_4]) ).

thf(zip_derived_cl129,plain,
    ( ~ horizontal_4_3
    | ~ vertical_4_4 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf('2',plain,
    ( ~ horizontal_4_3
    | ~ vertical_4_4 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(unique_cover5_4_2,conjecture,
    ~ ( ~ vertical_3_2
      | ~ vertical_4_2 ) ).

thf(zf_stmt_3,negated_conjecture,
    ( ~ vertical_3_2
    | ~ vertical_4_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_4_2]) ).

thf(zip_derived_cl118,plain,
    ( ~ vertical_3_2
    | ~ vertical_4_2 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf('3',plain,
    ( ~ vertical_4_2
    | ~ vertical_3_2 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(unique_cover2_5_3,conjecture,
    ~ ( ~ horizontal_5_2
      | ~ horizontal_5_3 ) ).

thf(zf_stmt_4,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ horizontal_5_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_5_3]) ).

thf(zip_derived_cl151,plain,
    ( ~ horizontal_5_2
    | ~ horizontal_5_3 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf('4',plain,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(unique_cover3_4_2,conjecture,
    ~ ( ~ vertical_3_2
      | ~ horizontal_4_2 ) ).

thf(zf_stmt_5,negated_conjecture,
    ( ~ vertical_3_2
    | ~ horizontal_4_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_4_2]) ).

thf(zip_derived_cl116,plain,
    ( ~ vertical_3_2
    | ~ horizontal_4_2 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf('5',plain,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(unique_cover4_3_3,conjecture,
    ~ ( ~ horizontal_3_2
      | ~ vertical_3_3 ) ).

thf(zf_stmt_6,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_3_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_3_3]) ).

thf(zip_derived_cl93,plain,
    ( ~ horizontal_3_2
    | ~ vertical_3_3 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf('6',plain,
    ( ~ horizontal_3_2
    | ~ vertical_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(unique_cover4_3_5,conjecture,
    ~ ( ~ horizontal_3_4
      | ~ vertical_3_5 ) ).

thf(zf_stmt_7,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_3_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_3_5]) ).

thf(zip_derived_cl105,plain,
    ( ~ horizontal_3_4
    | ~ vertical_3_5 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf('7',plain,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(unique_cover5_4_4,conjecture,
    ~ ( ~ vertical_3_4
      | ~ vertical_4_4 ) ).

thf(zf_stmt_8,negated_conjecture,
    ( ~ vertical_3_4
    | ~ vertical_4_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_4_4]) ).

thf(zip_derived_cl130,plain,
    ( ~ vertical_3_4
    | ~ vertical_4_4 ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf('8',plain,
    ( ~ vertical_3_4
    | ~ vertical_4_4 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(unique_cover6_4_4,conjecture,
    ~ ( ~ vertical_3_4
      | ~ horizontal_4_3 ) ).

thf(zf_stmt_9,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_4_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_4_4]) ).

thf(zip_derived_cl131,plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_3 ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf('9',plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(unique_cover5_3_3,conjecture,
    ~ ( ~ vertical_2_3
      | ~ vertical_3_3 ) ).

thf(zf_stmt_10,negated_conjecture,
    ( ~ vertical_2_3
    | ~ vertical_3_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_3_3]) ).

thf(zip_derived_cl94,plain,
    ( ~ vertical_2_3
    | ~ vertical_3_3 ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf('10',plain,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(unique_cover1_5_1,conjecture,
    ~ ( ~ vertical_5_1
      | ~ horizontal_5_1 ) ).

thf(zf_stmt_11,negated_conjecture,
    ( ~ vertical_5_1
    | ~ horizontal_5_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_5_1]) ).

thf(zip_derived_cl141,plain,
    ( ~ vertical_5_1
    | ~ horizontal_5_1 ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf('11',plain,
    ( ~ vertical_5_1
    | ~ horizontal_5_1 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(unique_cover2_6_2,conjecture,
    ~ ( ~ horizontal_6_1
      | ~ horizontal_6_2 ) ).

thf(zf_stmt_12,negated_conjecture,
    ( ~ horizontal_6_1
    | ~ horizontal_6_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_6_2]) ).

thf(zip_derived_cl172,plain,
    ( ~ horizontal_6_1
    | ~ horizontal_6_2 ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf('12',plain,
    ( ~ horizontal_6_2
    | ~ horizontal_6_1 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(unique_cover4_4_2,conjecture,
    ~ ( ~ horizontal_4_1
      | ~ vertical_4_2 ) ).

thf(zf_stmt_13,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_4_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_4_2]) ).

thf(zip_derived_cl117,plain,
    ( ~ horizontal_4_1
    | ~ vertical_4_2 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf('13',plain,
    ( ~ horizontal_4_1
    | ~ vertical_4_2 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(covered_5_2,conjecture,
    ~ ( vertical_4_2
      | horizontal_5_1
      | vertical_5_2
      | horizontal_5_2 ) ).

thf(zf_stmt_14,negated_conjecture,
    ( vertical_4_2
    | horizontal_5_1
    | vertical_5_2
    | horizontal_5_2 ),
    inference('cnf.neg',[status(esa)],[covered_5_2]) ).

thf(zip_derived_cl28,plain,
    ( vertical_4_2
    | horizontal_5_1
    | vertical_5_2
    | horizontal_5_2 ),
    inference(cnf,[status(esa)],[zf_stmt_14]) ).

thf('14',plain,
    ( horizontal_5_2
    | horizontal_5_1
    | vertical_4_2
    | vertical_5_2 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(unique_cover3_5_1,conjecture,
    ~ ( ~ vertical_4_1
      | ~ horizontal_5_1 ) ).

thf(zf_stmt_15,negated_conjecture,
    ( ~ vertical_4_1
    | ~ horizontal_5_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_5_1]) ).

thf(zip_derived_cl142,plain,
    ( ~ vertical_4_1
    | ~ horizontal_5_1 ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf('15',plain,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(unique_cover1_4_2,conjecture,
    ~ ( ~ vertical_4_2
      | ~ horizontal_4_2 ) ).

thf(zf_stmt_16,negated_conjecture,
    ( ~ vertical_4_2
    | ~ horizontal_4_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_4_2]) ).

thf(zip_derived_cl114,plain,
    ( ~ vertical_4_2
    | ~ horizontal_4_2 ),
    inference(cnf,[status(esa)],[zf_stmt_16]) ).

thf('16',plain,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(unique_cover4_5_3,conjecture,
    ~ ( ~ horizontal_5_2
      | ~ vertical_5_3 ) ).

thf(zf_stmt_17,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ vertical_5_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_5_3]) ).

thf(zip_derived_cl153,plain,
    ( ~ horizontal_5_2
    | ~ vertical_5_3 ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf('17',plain,
    ( ~ vertical_5_3
    | ~ horizontal_5_2 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(unique_cover5_5_3,conjecture,
    ~ ( ~ vertical_4_3
      | ~ vertical_5_3 ) ).

thf(zf_stmt_18,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_5_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_5_3]) ).

thf(zip_derived_cl154,plain,
    ( ~ vertical_4_3
    | ~ vertical_5_3 ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf('18',plain,
    ( ~ vertical_5_3
    | ~ vertical_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(unique_cover1_4_4,conjecture,
    ~ ( ~ vertical_4_4
      | ~ horizontal_4_4 ) ).

thf(zf_stmt_19,negated_conjecture,
    ( ~ vertical_4_4
    | ~ horizontal_4_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_4_4]) ).

thf(zip_derived_cl126,plain,
    ( ~ vertical_4_4
    | ~ horizontal_4_4 ),
    inference(cnf,[status(esa)],[zf_stmt_19]) ).

thf('19',plain,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(unique_cover2_4_4,conjecture,
    ~ ( ~ horizontal_4_3
      | ~ horizontal_4_4 ) ).

thf(zf_stmt_20,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_4_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_4_4]) ).

thf(zip_derived_cl127,plain,
    ( ~ horizontal_4_3
    | ~ horizontal_4_4 ),
    inference(cnf,[status(esa)],[zf_stmt_20]) ).

thf('20',plain,
    ( ~ horizontal_4_3
    | ~ horizontal_4_4 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(unique_cover3_5_5,conjecture,
    ~ ( ~ vertical_4_5
      | ~ horizontal_5_5 ) ).

thf(zf_stmt_21,negated_conjecture,
    ( ~ vertical_4_5
    | ~ horizontal_5_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_5_5]) ).

thf(zip_derived_cl164,plain,
    ( ~ vertical_4_5
    | ~ horizontal_5_5 ),
    inference(cnf,[status(esa)],[zf_stmt_21]) ).

thf('21',plain,
    ( ~ vertical_4_5
    | ~ horizontal_5_5 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(unique_cover6_4_6,conjecture,
    ~ ( ~ vertical_3_6
      | ~ horizontal_4_5 ) ).

thf(zf_stmt_22,negated_conjecture,
    ( ~ vertical_3_6
    | ~ horizontal_4_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_4_6]) ).

thf(zip_derived_cl140,plain,
    ( ~ vertical_3_6
    | ~ horizontal_4_5 ),
    inference(cnf,[status(esa)],[zf_stmt_22]) ).

thf('22',plain,
    ( ~ horizontal_4_5
    | ~ vertical_3_6 ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(unique_cover3_5_3,conjecture,
    ~ ( ~ vertical_4_3
      | ~ horizontal_5_3 ) ).

thf(zf_stmt_23,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_5_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_5_3]) ).

thf(zip_derived_cl152,plain,
    ( ~ vertical_4_3
    | ~ horizontal_5_3 ),
    inference(cnf,[status(esa)],[zf_stmt_23]) ).

thf('23',plain,
    ( ~ horizontal_5_3
    | ~ vertical_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf(covered_5_4,conjecture,
    ~ ( vertical_4_4
      | horizontal_5_3
      | vertical_5_4
      | horizontal_5_4 ) ).

thf(zf_stmt_24,negated_conjecture,
    ( vertical_4_4
    | horizontal_5_3
    | vertical_5_4
    | horizontal_5_4 ),
    inference('cnf.neg',[status(esa)],[covered_5_4]) ).

thf(zip_derived_cl30,plain,
    ( vertical_4_4
    | horizontal_5_3
    | vertical_5_4
    | horizontal_5_4 ),
    inference(cnf,[status(esa)],[zf_stmt_24]) ).

thf('24',plain,
    ( vertical_4_4
    | vertical_5_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(covered_4_1,conjecture,
    ~ ( vertical_3_1
      | vertical_4_1
      | horizontal_4_1 ) ).

thf(zf_stmt_25,negated_conjecture,
    ( vertical_3_1
    | vertical_4_1
    | horizontal_4_1 ),
    inference('cnf.neg',[status(esa)],[covered_4_1]) ).

thf(zip_derived_cl21,plain,
    ( vertical_3_1
    | vertical_4_1
    | horizontal_4_1 ),
    inference(cnf,[status(esa)],[zf_stmt_25]) ).

thf('25',plain,
    ( vertical_4_1
    | vertical_3_1
    | horizontal_4_1 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(unique_cover6_6_4,conjecture,
    ~ ( ~ vertical_5_4
      | ~ horizontal_6_3 ) ).

thf(zf_stmt_26,negated_conjecture,
    ( ~ vertical_5_4
    | ~ horizontal_6_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_6_4]) ).

thf(zip_derived_cl180,plain,
    ( ~ vertical_5_4
    | ~ horizontal_6_3 ),
    inference(cnf,[status(esa)],[zf_stmt_26]) ).

thf('26',plain,
    ( ~ horizontal_6_3
    | ~ vertical_5_4 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(unique_cover5_5_1,conjecture,
    ~ ( ~ vertical_4_1
      | ~ vertical_5_1 ) ).

thf(zf_stmt_27,negated_conjecture,
    ( ~ vertical_4_1
    | ~ vertical_5_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_5_1]) ).

thf(zip_derived_cl143,plain,
    ( ~ vertical_4_1
    | ~ vertical_5_1 ),
    inference(cnf,[status(esa)],[zf_stmt_27]) ).

thf('27',plain,
    ( ~ vertical_5_1
    | ~ vertical_4_1 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(covered_6_3,conjecture,
    ~ ( vertical_5_3
      | horizontal_6_2
      | horizontal_6_3 ) ).

thf(zf_stmt_28,negated_conjecture,
    ( vertical_5_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference('cnf.neg',[status(esa)],[covered_6_3]) ).

thf(zip_derived_cl35,plain,
    ( vertical_5_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(cnf,[status(esa)],[zf_stmt_28]) ).

thf('28',plain,
    ( horizontal_6_3
    | vertical_5_3
    | horizontal_6_2 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(covered_6_1,conjecture,
    ~ ( vertical_5_1
      | horizontal_6_1 ) ).

thf(zf_stmt_29,negated_conjecture,
    ( vertical_5_1
    | horizontal_6_1 ),
    inference('cnf.neg',[status(esa)],[covered_6_1]) ).

thf(zip_derived_cl33,plain,
    ( vertical_5_1
    | horizontal_6_1 ),
    inference(cnf,[status(esa)],[zf_stmt_29]) ).

thf('29',plain,
    ( horizontal_6_1
    | vertical_5_1 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(unique_cover3_6_2,conjecture,
    ~ ( ~ vertical_5_2
      | ~ horizontal_6_2 ) ).

thf(zf_stmt_30,negated_conjecture,
    ( ~ vertical_5_2
    | ~ horizontal_6_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_6_2]) ).

thf(zip_derived_cl173,plain,
    ( ~ vertical_5_2
    | ~ horizontal_6_2 ),
    inference(cnf,[status(esa)],[zf_stmt_30]) ).

thf('30',plain,
    ( ~ vertical_5_2
    | ~ horizontal_6_2 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(unique_cover4_2_6,conjecture,
    ~ ( ~ horizontal_2_5
      | ~ vertical_2_6 ) ).

thf(zf_stmt_31,negated_conjecture,
    ( ~ horizontal_2_5
    | ~ vertical_2_6 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_2_6]) ).

thf(zip_derived_cl78,plain,
    ( ~ horizontal_2_5
    | ~ vertical_2_6 ),
    inference(cnf,[status(esa)],[zf_stmt_31]) ).

thf('31',plain,
    ( ~ horizontal_2_5
    | ~ vertical_2_6 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(unique_cover3_2_3,conjecture,
    ~ ( ~ vertical_1_3
      | ~ horizontal_2_3 ) ).

thf(zf_stmt_32,negated_conjecture,
    ( ~ vertical_1_3
    | ~ horizontal_2_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_2_3]) ).

thf(zip_derived_cl62,plain,
    ( ~ vertical_1_3
    | ~ horizontal_2_3 ),
    inference(cnf,[status(esa)],[zf_stmt_32]) ).

thf('32',plain,
    ( ~ vertical_1_3
    | ~ horizontal_2_3 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(unique_cover5_2_3,conjecture,
    ~ ( ~ vertical_1_3
      | ~ vertical_2_3 ) ).

thf(zf_stmt_33,negated_conjecture,
    ( ~ vertical_1_3
    | ~ vertical_2_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_2_3]) ).

thf(zip_derived_cl64,plain,
    ( ~ vertical_1_3
    | ~ vertical_2_3 ),
    inference(cnf,[status(esa)],[zf_stmt_33]) ).

thf('33',plain,
    ( ~ vertical_1_3
    | ~ vertical_2_3 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(unique_cover5_3_5,conjecture,
    ~ ( ~ vertical_2_5
      | ~ vertical_3_5 ) ).

thf(zf_stmt_34,negated_conjecture,
    ( ~ vertical_2_5
    | ~ vertical_3_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_3_5]) ).

thf(zip_derived_cl106,plain,
    ( ~ vertical_2_5
    | ~ vertical_3_5 ),
    inference(cnf,[status(esa)],[zf_stmt_34]) ).

thf('34',plain,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(unique_cover6_3_5,conjecture,
    ~ ( ~ vertical_2_5
      | ~ horizontal_3_4 ) ).

thf(zf_stmt_35,negated_conjecture,
    ( ~ vertical_2_5
    | ~ horizontal_3_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_3_5]) ).

thf(zip_derived_cl107,plain,
    ( ~ vertical_2_5
    | ~ horizontal_3_4 ),
    inference(cnf,[status(esa)],[zf_stmt_35]) ).

thf('35',plain,
    ( ~ vertical_2_5
    | ~ horizontal_3_4 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(unique_cover1_1_5,conjecture,
    ~ ( ~ vertical_1_5
      | ~ horizontal_1_5 ) ).

thf(zf_stmt_36,negated_conjecture,
    ( ~ vertical_1_5
    | ~ horizontal_1_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_1_5]) ).

thf(zip_derived_cl47,plain,
    ( ~ vertical_1_5
    | ~ horizontal_1_5 ),
    inference(cnf,[status(esa)],[zf_stmt_36]) ).

thf('36',plain,
    ( ~ vertical_1_5
    | ~ horizontal_1_5 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(unique_cover2_3_3,conjecture,
    ~ ( ~ horizontal_3_2
      | ~ horizontal_3_3 ) ).

thf(zf_stmt_37,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ horizontal_3_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_3_3]) ).

thf(zip_derived_cl91,plain,
    ( ~ horizontal_3_2
    | ~ horizontal_3_3 ),
    inference(cnf,[status(esa)],[zf_stmt_37]) ).

thf('37',plain,
    ( ~ horizontal_3_2
    | ~ horizontal_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(unique_cover6_3_3,conjecture,
    ~ ( ~ vertical_2_3
      | ~ horizontal_3_2 ) ).

thf(zf_stmt_38,negated_conjecture,
    ( ~ vertical_2_3
    | ~ horizontal_3_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_3_3]) ).

thf(zip_derived_cl95,plain,
    ( ~ vertical_2_3
    | ~ horizontal_3_2 ),
    inference(cnf,[status(esa)],[zf_stmt_38]) ).

thf('38',plain,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(unique_cover3_3_1,conjecture,
    ~ ( ~ vertical_2_1
      | ~ horizontal_3_1 ) ).

thf(zf_stmt_39,negated_conjecture,
    ( ~ vertical_2_1
    | ~ horizontal_3_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_3_1]) ).

thf(zip_derived_cl82,plain,
    ( ~ vertical_2_1
    | ~ horizontal_3_1 ),
    inference(cnf,[status(esa)],[zf_stmt_39]) ).

thf('39',plain,
    ( ~ horizontal_3_1
    | ~ vertical_2_1 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(unique_cover3_2_2,conjecture,
    ~ ( ~ vertical_1_2
      | ~ horizontal_2_2 ) ).

thf(zf_stmt_40,negated_conjecture,
    ( ~ vertical_1_2
    | ~ horizontal_2_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_2_2]) ).

thf(zip_derived_cl56,plain,
    ( ~ vertical_1_2
    | ~ horizontal_2_2 ),
    inference(cnf,[status(esa)],[zf_stmt_40]) ).

thf('40',plain,
    ( ~ horizontal_2_2
    | ~ vertical_1_2 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(unique_cover1_1_3,conjecture,
    ~ ( ~ vertical_1_3
      | ~ horizontal_1_3 ) ).

thf(zf_stmt_41,negated_conjecture,
    ( ~ vertical_1_3
    | ~ horizontal_1_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_1_3]) ).

thf(zip_derived_cl41,plain,
    ( ~ vertical_1_3
    | ~ horizontal_1_3 ),
    inference(cnf,[status(esa)],[zf_stmt_41]) ).

thf('41',plain,
    ( ~ vertical_1_3
    | ~ horizontal_1_3 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(unique_cover4_2_4,conjecture,
    ~ ( ~ horizontal_2_3
      | ~ vertical_2_4 ) ).

thf(zf_stmt_42,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_2_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_2_4]) ).

thf(zip_derived_cl69,plain,
    ( ~ horizontal_2_3
    | ~ vertical_2_4 ),
    inference(cnf,[status(esa)],[zf_stmt_42]) ).

thf('42',plain,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(covered_3_2,conjecture,
    ~ ( vertical_2_2
      | horizontal_3_1
      | vertical_3_2
      | horizontal_3_2 ) ).

thf(zf_stmt_43,negated_conjecture,
    ( vertical_2_2
    | horizontal_3_1
    | vertical_3_2
    | horizontal_3_2 ),
    inference('cnf.neg',[status(esa)],[covered_3_2]) ).

thf(zip_derived_cl16,plain,
    ( vertical_2_2
    | horizontal_3_1
    | vertical_3_2
    | horizontal_3_2 ),
    inference(cnf,[status(esa)],[zf_stmt_43]) ).

thf('43',plain,
    ( horizontal_3_1
    | vertical_3_2
    | vertical_2_2
    | horizontal_3_2 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(unique_cover2_2_4,conjecture,
    ~ ( ~ horizontal_2_3
      | ~ horizontal_2_4 ) ).

thf(zf_stmt_44,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ horizontal_2_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_2_4]) ).

thf(zip_derived_cl67,plain,
    ( ~ horizontal_2_3
    | ~ horizontal_2_4 ),
    inference(cnf,[status(esa)],[zf_stmt_44]) ).

thf('44',plain,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(unique_cover6_2_4,conjecture,
    ~ ( ~ vertical_1_4
      | ~ horizontal_2_3 ) ).

thf(zf_stmt_45,negated_conjecture,
    ( ~ vertical_1_4
    | ~ horizontal_2_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_2_4]) ).

thf(zip_derived_cl71,plain,
    ( ~ vertical_1_4
    | ~ horizontal_2_3 ),
    inference(cnf,[status(esa)],[zf_stmt_45]) ).

thf('45',plain,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(covered_3_4,conjecture,
    ~ ( vertical_2_4
      | horizontal_3_3
      | vertical_3_4
      | horizontal_3_4 ) ).

thf(zf_stmt_46,negated_conjecture,
    ( vertical_2_4
    | horizontal_3_3
    | vertical_3_4
    | horizontal_3_4 ),
    inference('cnf.neg',[status(esa)],[covered_3_4]) ).

thf(zip_derived_cl18,plain,
    ( vertical_2_4
    | horizontal_3_3
    | vertical_3_4
    | horizontal_3_4 ),
    inference(cnf,[status(esa)],[zf_stmt_46]) ).

thf('46',plain,
    ( horizontal_3_3
    | horizontal_3_4
    | vertical_3_4
    | vertical_2_4 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(covered_1_6,conjecture,
    ~ ( horizontal_1_5
      | vertical_1_6 ) ).

thf(zf_stmt_47,negated_conjecture,
    ( horizontal_1_5
    | vertical_1_6 ),
    inference('cnf.neg',[status(esa)],[covered_1_6]) ).

thf(zip_derived_cl8,plain,
    ( horizontal_1_5
    | vertical_1_6 ),
    inference(cnf,[status(esa)],[zf_stmt_47]) ).

thf('47',plain,
    ( horizontal_1_5
    | vertical_1_6 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(covered_2_5,conjecture,
    ~ ( vertical_1_5
      | horizontal_2_4
      | vertical_2_5
      | horizontal_2_5 ) ).

thf(zf_stmt_48,negated_conjecture,
    ( vertical_1_5
    | horizontal_2_4
    | vertical_2_5
    | horizontal_2_5 ),
    inference('cnf.neg',[status(esa)],[covered_2_5]) ).

thf(zip_derived_cl13,plain,
    ( vertical_1_5
    | horizontal_2_4
    | vertical_2_5
    | horizontal_2_5 ),
    inference(cnf,[status(esa)],[zf_stmt_48]) ).

thf('48',plain,
    ( horizontal_2_4
    | vertical_1_5
    | vertical_2_5
    | horizontal_2_5 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(unique_cover2_1_5,conjecture,
    ~ ( ~ horizontal_1_4
      | ~ horizontal_1_5 ) ).

thf(zf_stmt_49,negated_conjecture,
    ( ~ horizontal_1_4
    | ~ horizontal_1_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_1_5]) ).

thf(zip_derived_cl48,plain,
    ( ~ horizontal_1_4
    | ~ horizontal_1_5 ),
    inference(cnf,[status(esa)],[zf_stmt_49]) ).

thf('49',plain,
    ( ~ horizontal_1_4
    | ~ horizontal_1_5 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(covered_1_4,conjecture,
    ~ ( horizontal_1_3
      | vertical_1_4
      | horizontal_1_4 ) ).

thf(zf_stmt_50,negated_conjecture,
    ( horizontal_1_3
    | vertical_1_4
    | horizontal_1_4 ),
    inference('cnf.neg',[status(esa)],[covered_1_4]) ).

thf(zip_derived_cl6,plain,
    ( horizontal_1_3
    | vertical_1_4
    | horizontal_1_4 ),
    inference(cnf,[status(esa)],[zf_stmt_50]) ).

thf('50',plain,
    ( vertical_1_4
    | horizontal_1_4
    | horizontal_1_3 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(unique_cover1_2_4,conjecture,
    ~ ( ~ vertical_2_4
      | ~ horizontal_2_4 ) ).

thf(zf_stmt_51,negated_conjecture,
    ( ~ vertical_2_4
    | ~ horizontal_2_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_2_4]) ).

thf(zip_derived_cl66,plain,
    ( ~ vertical_2_4
    | ~ horizontal_2_4 ),
    inference(cnf,[status(esa)],[zf_stmt_51]) ).

thf('51',plain,
    ( ~ vertical_2_4
    | ~ horizontal_2_4 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(unique_cover5_2_4,conjecture,
    ~ ( ~ vertical_1_4
      | ~ vertical_2_4 ) ).

thf(zf_stmt_52,negated_conjecture,
    ( ~ vertical_1_4
    | ~ vertical_2_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_2_4]) ).

thf(zip_derived_cl70,plain,
    ( ~ vertical_1_4
    | ~ vertical_2_4 ),
    inference(cnf,[status(esa)],[zf_stmt_52]) ).

thf('52',plain,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(unique_cover2_1_3,conjecture,
    ~ ( ~ horizontal_1_2
      | ~ horizontal_1_3 ) ).

thf(zf_stmt_53,negated_conjecture,
    ( ~ horizontal_1_2
    | ~ horizontal_1_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_1_3]) ).

thf(zip_derived_cl42,plain,
    ( ~ horizontal_1_2
    | ~ horizontal_1_3 ),
    inference(cnf,[status(esa)],[zf_stmt_53]) ).

thf('53',plain,
    ( ~ horizontal_1_3
    | ~ horizontal_1_2 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(unique_cover1_2_2,conjecture,
    ~ ( ~ vertical_2_2
      | ~ horizontal_2_2 ) ).

thf(zf_stmt_54,negated_conjecture,
    ( ~ vertical_2_2
    | ~ horizontal_2_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_2_2]) ).

thf(zip_derived_cl54,plain,
    ( ~ vertical_2_2
    | ~ horizontal_2_2 ),
    inference(cnf,[status(esa)],[zf_stmt_54]) ).

thf('54',plain,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(unique_cover5_2_2,conjecture,
    ~ ( ~ vertical_1_2
      | ~ vertical_2_2 ) ).

thf(zf_stmt_55,negated_conjecture,
    ( ~ vertical_1_2
    | ~ vertical_2_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_2_2]) ).

thf(zip_derived_cl58,plain,
    ( ~ vertical_1_2
    | ~ vertical_2_2 ),
    inference(cnf,[status(esa)],[zf_stmt_55]) ).

thf('55',plain,
    ( ~ vertical_1_2
    | ~ vertical_2_2 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(covered_4_5,conjecture,
    ~ ( vertical_3_5
      | horizontal_4_4
      | vertical_4_5
      | horizontal_4_5 ) ).

thf(zf_stmt_56,negated_conjecture,
    ( vertical_3_5
    | horizontal_4_4
    | vertical_4_5
    | horizontal_4_5 ),
    inference('cnf.neg',[status(esa)],[covered_4_5]) ).

thf(zip_derived_cl25,plain,
    ( vertical_3_5
    | horizontal_4_4
    | vertical_4_5
    | horizontal_4_5 ),
    inference(cnf,[status(esa)],[zf_stmt_56]) ).

thf('56',plain,
    ( horizontal_4_5
    | vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(unique_cover1_3_5,conjecture,
    ~ ( ~ vertical_3_5
      | ~ horizontal_3_5 ) ).

thf(zf_stmt_57,negated_conjecture,
    ( ~ vertical_3_5
    | ~ horizontal_3_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_3_5]) ).

thf(zip_derived_cl102,plain,
    ( ~ vertical_3_5
    | ~ horizontal_3_5 ),
    inference(cnf,[status(esa)],[zf_stmt_57]) ).

thf('57',plain,
    ( ~ horizontal_3_5
    | ~ vertical_3_5 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(unique_cover2_3_5,conjecture,
    ~ ( ~ horizontal_3_4
      | ~ horizontal_3_5 ) ).

thf(zf_stmt_58,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ horizontal_3_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_3_5]) ).

thf(zip_derived_cl103,plain,
    ( ~ horizontal_3_4
    | ~ horizontal_3_5 ),
    inference(cnf,[status(esa)],[zf_stmt_58]) ).

thf('58',plain,
    ( ~ horizontal_3_5
    | ~ horizontal_3_4 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(unique_cover3_3_5,conjecture,
    ~ ( ~ vertical_2_5
      | ~ horizontal_3_5 ) ).

thf(zf_stmt_59,negated_conjecture,
    ( ~ vertical_2_5
    | ~ horizontal_3_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_3_5]) ).

thf(zip_derived_cl104,plain,
    ( ~ vertical_2_5
    | ~ horizontal_3_5 ),
    inference(cnf,[status(esa)],[zf_stmt_59]) ).

thf('59',plain,
    ( ~ horizontal_3_5
    | ~ vertical_2_5 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(covered_3_6,conjecture,
    ~ ( vertical_2_6
      | horizontal_3_5
      | vertical_3_6 ) ).

thf(zf_stmt_60,negated_conjecture,
    ( vertical_2_6
    | horizontal_3_5
    | vertical_3_6 ),
    inference('cnf.neg',[status(esa)],[covered_3_6]) ).

thf(zip_derived_cl20,plain,
    ( vertical_2_6
    | horizontal_3_5
    | vertical_3_6 ),
    inference(cnf,[status(esa)],[zf_stmt_60]) ).

thf('60',plain,
    ( vertical_2_6
    | vertical_3_6
    | horizontal_3_5 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(unique_cover5_2_6,conjecture,
    ~ ( ~ vertical_1_6
      | ~ vertical_2_6 ) ).

thf(zf_stmt_61,negated_conjecture,
    ( ~ vertical_1_6
    | ~ vertical_2_6 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_2_6]) ).

thf(zip_derived_cl79,plain,
    ( ~ vertical_1_6
    | ~ vertical_2_6 ),
    inference(cnf,[status(esa)],[zf_stmt_61]) ).

thf('61',plain,
    ( ~ vertical_1_6
    | ~ vertical_2_6 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(unique_cover6_2_6,conjecture,
    ~ ( ~ vertical_1_6
      | ~ horizontal_2_5 ) ).

thf(zf_stmt_62,negated_conjecture,
    ( ~ vertical_1_6
    | ~ horizontal_2_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_2_6]) ).

thf(zip_derived_cl80,plain,
    ( ~ vertical_1_6
    | ~ horizontal_2_5 ),
    inference(cnf,[status(esa)],[zf_stmt_62]) ).

thf('62',plain,
    ( ~ horizontal_2_5
    | ~ vertical_1_6 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(unique_cover4_1_5,conjecture,
    ~ ( ~ horizontal_1_4
      | ~ vertical_1_5 ) ).

thf(zf_stmt_63,negated_conjecture,
    ( ~ horizontal_1_4
    | ~ vertical_1_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_1_5]) ).

thf(zip_derived_cl49,plain,
    ( ~ horizontal_1_4
    | ~ vertical_1_5 ),
    inference(cnf,[status(esa)],[zf_stmt_63]) ).

thf('63',plain,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(unique_cover4_4_6,conjecture,
    ~ ( ~ horizontal_4_5
      | ~ vertical_4_6 ) ).

thf(zf_stmt_64,negated_conjecture,
    ( ~ horizontal_4_5
    | ~ vertical_4_6 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_4_6]) ).

thf(zip_derived_cl138,plain,
    ( ~ horizontal_4_5
    | ~ vertical_4_6 ),
    inference(cnf,[status(esa)],[zf_stmt_64]) ).

thf('64',plain,
    ( ~ horizontal_4_5
    | ~ vertical_4_6 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(unique_cover5_4_6,conjecture,
    ~ ( ~ vertical_3_6
      | ~ vertical_4_6 ) ).

thf(zf_stmt_65,negated_conjecture,
    ( ~ vertical_3_6
    | ~ vertical_4_6 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_4_6]) ).

thf(zip_derived_cl139,plain,
    ( ~ vertical_3_6
    | ~ vertical_4_6 ),
    inference(cnf,[status(esa)],[zf_stmt_65]) ).

thf('65',plain,
    ( ~ vertical_4_6
    | ~ vertical_3_6 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(covered_5_6,conjecture,
    ~ ( vertical_4_6
      | horizontal_5_5
      | vertical_5_6 ) ).

thf(zf_stmt_66,negated_conjecture,
    ( vertical_4_6
    | horizontal_5_5
    | vertical_5_6 ),
    inference('cnf.neg',[status(esa)],[covered_5_6]) ).

thf(zip_derived_cl32,plain,
    ( vertical_4_6
    | horizontal_5_5
    | vertical_5_6 ),
    inference(cnf,[status(esa)],[zf_stmt_66]) ).

thf('66',plain,
    ( horizontal_5_5
    | vertical_4_6
    | vertical_5_6 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl285,plain,
    ( vertical_5_6
   <= vertical_5_6 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(uncovered4_6_6,conjecture,
    vertical_5_6 ).

thf(zf_stmt_67,negated_conjecture,
    ~ vertical_5_6,
    inference('cnf.neg',[status(esa)],[uncovered4_6_6]) ).

thf(zip_derived_cl3,plain,
    ~ vertical_5_6,
    inference(cnf,[status(esa)],[zf_stmt_67]) ).

thf('67',plain,
    ~ vertical_5_6,
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl3]) ).

thf(unique_cover2_5_5,conjecture,
    ~ ( ~ horizontal_5_4
      | ~ horizontal_5_5 ) ).

thf(zf_stmt_68,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ horizontal_5_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_5_5]) ).

thf(zip_derived_cl163,plain,
    ( ~ horizontal_5_4
    | ~ horizontal_5_5 ),
    inference(cnf,[status(esa)],[zf_stmt_68]) ).

thf('68',plain,
    ( ~ horizontal_5_4
    | ~ horizontal_5_5 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(unique_cover6_5_5,conjecture,
    ~ ( ~ vertical_4_5
      | ~ horizontal_5_4 ) ).

thf(zf_stmt_69,negated_conjecture,
    ( ~ vertical_4_5
    | ~ horizontal_5_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_5_5]) ).

thf(zip_derived_cl167,plain,
    ( ~ vertical_4_5
    | ~ horizontal_5_4 ),
    inference(cnf,[status(esa)],[zf_stmt_69]) ).

thf('69',plain,
    ( ~ vertical_4_5
    | ~ horizontal_5_4 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(unique_cover3_4_4,conjecture,
    ~ ( ~ vertical_3_4
      | ~ horizontal_4_4 ) ).

thf(zf_stmt_70,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_4_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_4_4]) ).

thf(zip_derived_cl128,plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_4 ),
    inference(cnf,[status(esa)],[zf_stmt_70]) ).

thf('70',plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_4 ),
    inference(split,[status(esa)],[zip_derived_cl128]) ).

thf(unique_cover3_4_1,conjecture,
    ~ ( ~ vertical_3_1
      | ~ horizontal_4_1 ) ).

thf(zf_stmt_71,negated_conjecture,
    ( ~ vertical_3_1
    | ~ horizontal_4_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_4_1]) ).

thf(zip_derived_cl112,plain,
    ( ~ vertical_3_1
    | ~ horizontal_4_1 ),
    inference(cnf,[status(esa)],[zf_stmt_71]) ).

thf('71',plain,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(unique_cover2_4_2,conjecture,
    ~ ( ~ horizontal_4_1
      | ~ horizontal_4_2 ) ).

thf(zf_stmt_72,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ horizontal_4_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_4_2]) ).

thf(zip_derived_cl115,plain,
    ( ~ horizontal_4_1
    | ~ horizontal_4_2 ),
    inference(cnf,[status(esa)],[zf_stmt_72]) ).

thf('72',plain,
    ( ~ horizontal_4_1
    | ~ horizontal_4_2 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(unique_cover6_4_2,conjecture,
    ~ ( ~ vertical_3_2
      | ~ horizontal_4_1 ) ).

thf(zf_stmt_73,negated_conjecture,
    ( ~ vertical_3_2
    | ~ horizontal_4_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_4_2]) ).

thf(zip_derived_cl119,plain,
    ( ~ vertical_3_2
    | ~ horizontal_4_1 ),
    inference(cnf,[status(esa)],[zf_stmt_73]) ).

thf('73',plain,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(unique_cover3_2_4,conjecture,
    ~ ( ~ vertical_1_4
      | ~ horizontal_2_4 ) ).

thf(zf_stmt_74,negated_conjecture,
    ( ~ vertical_1_4
    | ~ horizontal_2_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_2_4]) ).

thf(zip_derived_cl68,plain,
    ( ~ vertical_1_4
    | ~ horizontal_2_4 ),
    inference(cnf,[status(esa)],[zf_stmt_74]) ).

thf('74',plain,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(unique_cover5_3_1,conjecture,
    ~ ( ~ vertical_2_1
      | ~ vertical_3_1 ) ).

thf(zf_stmt_75,negated_conjecture,
    ( ~ vertical_2_1
    | ~ vertical_3_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_3_1]) ).

thf(zip_derived_cl83,plain,
    ( ~ vertical_2_1
    | ~ vertical_3_1 ),
    inference(cnf,[status(esa)],[zf_stmt_75]) ).

thf('75',plain,
    ( ~ vertical_3_1
    | ~ vertical_2_1 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(unique_cover6_5_3,conjecture,
    ~ ( ~ vertical_4_3
      | ~ horizontal_5_2 ) ).

thf(zf_stmt_76,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_5_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_5_3]) ).

thf(zip_derived_cl155,plain,
    ( ~ vertical_4_3
    | ~ horizontal_5_2 ),
    inference(cnf,[status(esa)],[zf_stmt_76]) ).

thf('76',plain,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(covered_2_1,conjecture,
    ~ ( vertical_1_1
      | vertical_2_1
      | horizontal_2_1 ) ).

thf(zf_stmt_77,negated_conjecture,
    ( vertical_1_1
    | vertical_2_1
    | horizontal_2_1 ),
    inference('cnf.neg',[status(esa)],[covered_2_1]) ).

thf(zip_derived_cl9,plain,
    ( vertical_1_1
    | vertical_2_1
    | horizontal_2_1 ),
    inference(cnf,[status(esa)],[zf_stmt_77]) ).

thf('77',plain,
    ( vertical_2_1
    | horizontal_2_1
    | vertical_1_1 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl200,plain,
    ( vertical_1_1
   <= vertical_1_1 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(uncovered2_1_1,conjecture,
    vertical_1_1 ).

thf(zf_stmt_78,negated_conjecture,
    ~ vertical_1_1,
    inference('cnf.neg',[status(esa)],[uncovered2_1_1]) ).

thf(zip_derived_cl1,plain,
    ~ vertical_1_1,
    inference(cnf,[status(esa)],[zf_stmt_78]) ).

thf('78',plain,
    ~ vertical_1_1,
    inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl1]) ).

thf(covered_4_3,conjecture,
    ~ ( vertical_3_3
      | horizontal_4_2
      | vertical_4_3
      | horizontal_4_3 ) ).

thf(zf_stmt_79,negated_conjecture,
    ( vertical_3_3
    | horizontal_4_2
    | vertical_4_3
    | horizontal_4_3 ),
    inference('cnf.neg',[status(esa)],[covered_4_3]) ).

thf(zip_derived_cl23,plain,
    ( vertical_3_3
    | horizontal_4_2
    | vertical_4_3
    | horizontal_4_3 ),
    inference(cnf,[status(esa)],[zf_stmt_79]) ).

thf('79',plain,
    ( vertical_4_3
    | horizontal_4_2
    | horizontal_4_3
    | vertical_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(covered_2_3,conjecture,
    ~ ( vertical_1_3
      | horizontal_2_2
      | vertical_2_3
      | horizontal_2_3 ) ).

thf(zf_stmt_80,negated_conjecture,
    ( vertical_1_3
    | horizontal_2_2
    | vertical_2_3
    | horizontal_2_3 ),
    inference('cnf.neg',[status(esa)],[covered_2_3]) ).

thf(zip_derived_cl11,plain,
    ( vertical_1_3
    | horizontal_2_2
    | vertical_2_3
    | horizontal_2_3 ),
    inference(cnf,[status(esa)],[zf_stmt_80]) ).

thf('80',plain,
    ( vertical_1_3
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_3 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(covered_1_2,conjecture,
    ~ ( horizontal_1_1
      | vertical_1_2
      | horizontal_1_2 ) ).

thf(zf_stmt_81,negated_conjecture,
    ( horizontal_1_1
    | vertical_1_2
    | horizontal_1_2 ),
    inference('cnf.neg',[status(esa)],[covered_1_2]) ).

thf(zip_derived_cl4,plain,
    ( horizontal_1_1
    | vertical_1_2
    | horizontal_1_2 ),
    inference(cnf,[status(esa)],[zf_stmt_81]) ).

thf('81',plain,
    ( horizontal_1_2
    | vertical_1_2
    | horizontal_1_1 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl186,plain,
    ( horizontal_1_1
   <= horizontal_1_1 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(uncovered1_1_1,conjecture,
    horizontal_1_1 ).

thf(zf_stmt_82,negated_conjecture,
    ~ horizontal_1_1,
    inference('cnf.neg',[status(esa)],[uncovered1_1_1]) ).

thf(zip_derived_cl0,plain,
    ~ horizontal_1_1,
    inference(cnf,[status(esa)],[zf_stmt_82]) ).

thf('82',plain,
    ~ horizontal_1_1,
    inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl0]) ).

thf(unique_cover2_2_2,conjecture,
    ~ ( ~ horizontal_2_1
      | ~ horizontal_2_2 ) ).

thf(zf_stmt_83,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ horizontal_2_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_2_2]) ).

thf(zip_derived_cl55,plain,
    ( ~ horizontal_2_1
    | ~ horizontal_2_2 ),
    inference(cnf,[status(esa)],[zf_stmt_83]) ).

thf('83',plain,
    ( ~ horizontal_2_2
    | ~ horizontal_2_1 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(unique_cover6_2_2,conjecture,
    ~ ( ~ vertical_1_2
      | ~ horizontal_2_1 ) ).

thf(zf_stmt_84,negated_conjecture,
    ( ~ vertical_1_2
    | ~ horizontal_2_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_2_2]) ).

thf(zip_derived_cl59,plain,
    ( ~ vertical_1_2
    | ~ horizontal_2_1 ),
    inference(cnf,[status(esa)],[zf_stmt_84]) ).

thf('84',plain,
    ( ~ vertical_1_2
    | ~ horizontal_2_1 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(unique_cover4_1_3,conjecture,
    ~ ( ~ horizontal_1_2
      | ~ vertical_1_3 ) ).

thf(zf_stmt_85,negated_conjecture,
    ( ~ horizontal_1_2
    | ~ vertical_1_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_1_3]) ).

thf(zip_derived_cl43,plain,
    ( ~ horizontal_1_2
    | ~ vertical_1_3 ),
    inference(cnf,[status(esa)],[zf_stmt_85]) ).

thf('85',plain,
    ( ~ vertical_1_3
    | ~ horizontal_1_2 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(unique_cover1_3_3,conjecture,
    ~ ( ~ vertical_3_3
      | ~ horizontal_3_3 ) ).

thf(zf_stmt_86,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_3_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_3_3]) ).

thf(zip_derived_cl90,plain,
    ( ~ vertical_3_3
    | ~ horizontal_3_3 ),
    inference(cnf,[status(esa)],[zf_stmt_86]) ).

thf('86',plain,
    ( ~ vertical_3_3
    | ~ horizontal_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(unique_cover3_3_3,conjecture,
    ~ ( ~ vertical_2_3
      | ~ horizontal_3_3 ) ).

thf(zf_stmt_87,negated_conjecture,
    ( ~ vertical_2_3
    | ~ horizontal_3_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_3_3]) ).

thf(zip_derived_cl92,plain,
    ( ~ vertical_2_3
    | ~ horizontal_3_3 ),
    inference(cnf,[status(esa)],[zf_stmt_87]) ).

thf('87',plain,
    ( ~ vertical_2_3
    | ~ horizontal_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

thf(unique_cover6_6_2,conjecture,
    ~ ( ~ vertical_5_2
      | ~ horizontal_6_1 ) ).

thf(zf_stmt_88,negated_conjecture,
    ( ~ vertical_5_2
    | ~ horizontal_6_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_6_2]) ).

thf(zip_derived_cl174,plain,
    ( ~ vertical_5_2
    | ~ horizontal_6_1 ),
    inference(cnf,[status(esa)],[zf_stmt_88]) ).

thf('88',plain,
    ( ~ vertical_5_2
    | ~ horizontal_6_1 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl699,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ015-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fsNi24z3WK true
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 22:54:43 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.83  % Solved by fo/fo1_av.sh.
% 0.21/0.83  % done 400 iterations in 0.040s
% 0.21/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.83  % SZS output start Refutation
% See solution above
% 0.21/0.84  
% 0.21/0.84  
% 0.21/0.84  % Terminating...
% 1.44/0.88  % Runner terminated.
% 1.44/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------