TSTP Solution File: PUZ016-2.005 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ016-2.005 : 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.3IJL2Hb7X8 true

% Computer : n010.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 1.36s 0.79s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   91
% Syntax   : Number of formulae    :  256 (   9 unt;  37 typ;   0 def)
%            Number of atoms       :  481 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  640 ( 378   ~; 260   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   2  <=;   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     :   38 (  37 usr;  38 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(horizontal_1_4_type,type,
    horizontal_1_4: $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(zf_stmt_0,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ horizontal_5_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_5_3]) ).

thf(zip_derived_cl110,plain,
    ( ~ horizontal_5_2
    | ~ horizontal_5_3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(unique_cover2_4_3,conjecture,
    ~ ( ~ horizontal_4_2
      | ~ horizontal_4_3 ) ).

thf(zf_stmt_1,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_4_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_4_3]) ).

thf(zip_derived_cl92,plain,
    ( ~ horizontal_4_2
    | ~ horizontal_4_3 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf('1',plain,
    ( ~ horizontal_4_2
    | ~ horizontal_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

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

thf(zf_stmt_2,negated_conjecture,
    ( ~ vertical_2_3
    | ~ horizontal_3_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_3_3]) ).

thf(zip_derived_cl69,plain,
    ( ~ vertical_2_3
    | ~ horizontal_3_3 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf('2',plain,
    ( ~ vertical_2_3
    | ~ horizontal_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(unique_cover1_3_2,conjecture,
    ~ ( ~ vertical_3_2
      | ~ horizontal_3_2 ) ).

thf(zf_stmt_3,negated_conjecture,
    ( ~ vertical_3_2
    | ~ horizontal_3_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_3_2]) ).

thf(zip_derived_cl61,plain,
    ( ~ vertical_3_2
    | ~ horizontal_3_2 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf('3',plain,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(unique_cover3_3_2,conjecture,
    ~ ( ~ vertical_2_2
      | ~ horizontal_3_2 ) ).

thf(zf_stmt_4,negated_conjecture,
    ( ~ vertical_2_2
    | ~ horizontal_3_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_3_2]) ).

thf(zip_derived_cl63,plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_2 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf('4',plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_2 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(unique_cover1_2_3,conjecture,
    ~ ( ~ vertical_2_3
      | ~ horizontal_2_3 ) ).

thf(zf_stmt_5,negated_conjecture,
    ( ~ vertical_2_3
    | ~ horizontal_2_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_2_3]) ).

thf(zip_derived_cl43,plain,
    ( ~ vertical_2_3
    | ~ horizontal_2_3 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf('5',plain,
    ( ~ vertical_2_3
    | ~ horizontal_2_3 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(unique_cover6_5_2,conjecture,
    ~ ( ~ vertical_4_2
      | ~ horizontal_5_1 ) ).

thf(zf_stmt_6,negated_conjecture,
    ( ~ vertical_4_2
    | ~ horizontal_5_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_5_2]) ).

thf(zip_derived_cl109,plain,
    ( ~ vertical_4_2
    | ~ horizontal_5_1 ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf('6',plain,
    ( ~ vertical_4_2
    | ~ horizontal_5_1 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

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

thf(zf_stmt_7,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_4_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_4_4]) ).

thf(zip_derived_cl102,plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_3 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf('7',plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(unique_cover1_3_4,conjecture,
    ~ ( ~ vertical_3_4
      | ~ horizontal_3_4 ) ).

thf(zf_stmt_8,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_3_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_3_4]) ).

thf(zip_derived_cl73,plain,
    ( ~ vertical_3_4
    | ~ horizontal_3_4 ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf('8',plain,
    ( ~ horizontal_3_4
    | ~ vertical_3_4 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(unique_cover5_3_4,conjecture,
    ~ ( ~ vertical_2_4
      | ~ vertical_3_4 ) ).

thf(zf_stmt_9,negated_conjecture,
    ( ~ vertical_2_4
    | ~ vertical_3_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_3_4]) ).

thf(zip_derived_cl77,plain,
    ( ~ vertical_2_4
    | ~ vertical_3_4 ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf('9',plain,
    ( ~ vertical_2_4
    | ~ vertical_3_4 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(unique_cover4_3_4,conjecture,
    ~ ( ~ horizontal_3_3
      | ~ vertical_3_4 ) ).

thf(zf_stmt_10,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_3_4]) ).

thf(zip_derived_cl76,plain,
    ( ~ horizontal_3_3
    | ~ vertical_3_4 ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf('10',plain,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(unique_cover3_5_4,conjecture,
    ~ ( ~ vertical_4_4
      | ~ horizontal_5_4 ) ).

thf(zf_stmt_11,negated_conjecture,
    ( ~ vertical_4_4
    | ~ horizontal_5_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_5_4]) ).

thf(zip_derived_cl114,plain,
    ( ~ vertical_4_4
    | ~ horizontal_5_4 ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf('11',plain,
    ( ~ vertical_4_4
    | ~ horizontal_5_4 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(unique_cover6_4_5,conjecture,
    ~ ( ~ vertical_3_5
      | ~ horizontal_4_4 ) ).

thf(zf_stmt_12,negated_conjecture,
    ( ~ vertical_3_5
    | ~ horizontal_4_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_4_5]) ).

thf(zip_derived_cl105,plain,
    ( ~ vertical_3_5
    | ~ horizontal_4_4 ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf('12',plain,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(unique_cover5_4_5,conjecture,
    ~ ( ~ vertical_3_5
      | ~ vertical_4_5 ) ).

thf(zf_stmt_13,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_4_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_4_5]) ).

thf(zip_derived_cl104,plain,
    ( ~ vertical_3_5
    | ~ vertical_4_5 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf('13',plain,
    ( ~ vertical_4_5
    | ~ vertical_3_5 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(unique_cover2_3_4,conjecture,
    ~ ( ~ horizontal_3_3
      | ~ horizontal_3_4 ) ).

thf(zf_stmt_14,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ horizontal_3_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_3_4]) ).

thf(zip_derived_cl74,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_3_4 ),
    inference(cnf,[status(esa)],[zf_stmt_14]) ).

thf('14',plain,
    ( ~ horizontal_3_4
    | ~ horizontal_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(unique_cover1_4_3,conjecture,
    ~ ( ~ vertical_4_3
      | ~ horizontal_4_3 ) ).

thf(zf_stmt_15,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_4_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_4_3]) ).

thf(zip_derived_cl91,plain,
    ( ~ vertical_4_3
    | ~ horizontal_4_3 ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf('15',plain,
    ( ~ horizontal_4_3
    | ~ vertical_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(unique_cover2_2_3,conjecture,
    ~ ( ~ horizontal_2_2
      | ~ horizontal_2_3 ) ).

thf(zf_stmt_16,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ horizontal_2_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_2_3]) ).

thf(zip_derived_cl44,plain,
    ( ~ horizontal_2_2
    | ~ horizontal_2_3 ),
    inference(cnf,[status(esa)],[zf_stmt_16]) ).

thf('16',plain,
    ( ~ horizontal_2_3
    | ~ horizontal_2_2 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(covered_2_2,conjecture,
    ~ ( vertical_1_2
      | horizontal_2_1
      | vertical_2_2
      | horizontal_2_2 ) ).

thf(zf_stmt_17,negated_conjecture,
    ( vertical_1_2
    | horizontal_2_1
    | vertical_2_2
    | horizontal_2_2 ),
    inference('cnf.neg',[status(esa)],[covered_2_2]) ).

thf(zip_derived_cl10,plain,
    ( vertical_1_2
    | horizontal_2_1
    | vertical_2_2
    | horizontal_2_2 ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl130,plain,
    ( vertical_1_2
   <= vertical_1_2 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(uncovered2_1_2,conjecture,
    vertical_1_2 ).

thf(zf_stmt_18,negated_conjecture,
    ~ vertical_1_2,
    inference('cnf.neg',[status(esa)],[uncovered2_1_2]) ).

thf(zip_derived_cl2,plain,
    ~ vertical_1_2,
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf('17',plain,
    ~ vertical_1_2,
    inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl2]) ).

thf(unique_cover3_2_1,conjecture,
    ~ ( ~ vertical_1_1
      | ~ horizontal_2_1 ) ).

thf(zf_stmt_19,negated_conjecture,
    ( ~ vertical_1_1
    | ~ horizontal_2_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_2_1]) ).

thf(zip_derived_cl35,plain,
    ( ~ vertical_1_1
    | ~ horizontal_2_1 ),
    inference(cnf,[status(esa)],[zf_stmt_19]) ).

thf('18',plain,
    ( ~ horizontal_2_1
    | ~ vertical_1_1 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(unique_cover2_3_2,conjecture,
    ~ ( ~ horizontal_3_1
      | ~ horizontal_3_2 ) ).

thf(zf_stmt_20,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ horizontal_3_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_3_2]) ).

thf(zip_derived_cl62,plain,
    ( ~ horizontal_3_1
    | ~ horizontal_3_2 ),
    inference(cnf,[status(esa)],[zf_stmt_20]) ).

thf('19',plain,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(covered_1_1,conjecture,
    ~ ( vertical_1_1
      | horizontal_1_1 ) ).

thf(zf_stmt_21,negated_conjecture,
    ( vertical_1_1
    | horizontal_1_1 ),
    inference('cnf.neg',[status(esa)],[covered_1_1]) ).

thf(zip_derived_cl6,plain,
    ( vertical_1_1
    | horizontal_1_1 ),
    inference(cnf,[status(esa)],[zf_stmt_21]) ).

thf(zip_derived_cl118,plain,
    ( horizontal_1_1
   <= horizontal_1_1 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(uncovered3_1_2,conjecture,
    horizontal_1_1 ).

thf(zf_stmt_22,negated_conjecture,
    ~ horizontal_1_1,
    inference('cnf.neg',[status(esa)],[uncovered3_1_2]) ).

thf(zip_derived_cl4,plain,
    ~ horizontal_1_1,
    inference(cnf,[status(esa)],[zf_stmt_22]) ).

thf('20',plain,
    ~ horizontal_1_1,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl4]) ).

thf('21',plain,
    ( vertical_1_1
    | horizontal_1_1 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(unique_cover5_2_1,conjecture,
    ~ ( ~ vertical_1_1
      | ~ vertical_2_1 ) ).

thf(zf_stmt_23,negated_conjecture,
    ( ~ vertical_1_1
    | ~ vertical_2_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_2_1]) ).

thf(zip_derived_cl36,plain,
    ( ~ vertical_1_1
    | ~ vertical_2_1 ),
    inference(cnf,[status(esa)],[zf_stmt_23]) ).

thf('22',plain,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(unique_cover1_4_1,conjecture,
    ~ ( ~ vertical_4_1
      | ~ horizontal_4_1 ) ).

thf(zf_stmt_24,negated_conjecture,
    ( ~ vertical_4_1
    | ~ horizontal_4_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_4_1]) ).

thf(zip_derived_cl82,plain,
    ( ~ vertical_4_1
    | ~ horizontal_4_1 ),
    inference(cnf,[status(esa)],[zf_stmt_24]) ).

thf('23',plain,
    ( ~ horizontal_4_1
    | ~ vertical_4_1 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

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

thf(zf_stmt_25,negated_conjecture,
    ( ~ vertical_3_1
    | ~ horizontal_4_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_4_1]) ).

thf(zip_derived_cl83,plain,
    ( ~ vertical_3_1
    | ~ horizontal_4_1 ),
    inference(cnf,[status(esa)],[zf_stmt_25]) ).

thf('24',plain,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(unique_cover5_4_3,conjecture,
    ~ ( ~ vertical_3_3
      | ~ vertical_4_3 ) ).

thf(zf_stmt_26,negated_conjecture,
    ( ~ vertical_3_3
    | ~ vertical_4_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_4_3]) ).

thf(zip_derived_cl95,plain,
    ( ~ vertical_3_3
    | ~ vertical_4_3 ),
    inference(cnf,[status(esa)],[zf_stmt_26]) ).

thf('25',plain,
    ( ~ vertical_3_3
    | ~ vertical_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(unique_cover6_4_3,conjecture,
    ~ ( ~ vertical_3_3
      | ~ horizontal_4_2 ) ).

thf(zf_stmt_27,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_4_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_4_3]) ).

thf(zip_derived_cl96,plain,
    ( ~ vertical_3_3
    | ~ horizontal_4_2 ),
    inference(cnf,[status(esa)],[zf_stmt_27]) ).

thf('26',plain,
    ( ~ vertical_3_3
    | ~ horizontal_4_2 ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(unique_cover3_4_3,conjecture,
    ~ ( ~ vertical_3_3
      | ~ horizontal_4_3 ) ).

thf(zf_stmt_28,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_4_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_4_3]) ).

thf(zip_derived_cl93,plain,
    ( ~ vertical_3_3
    | ~ horizontal_4_3 ),
    inference(cnf,[status(esa)],[zf_stmt_28]) ).

thf('27',plain,
    ( ~ vertical_3_3
    | ~ horizontal_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(covered_5_5,conjecture,
    ~ ( vertical_4_5
      | horizontal_5_4 ) ).

thf(zf_stmt_29,negated_conjecture,
    ( vertical_4_5
    | horizontal_5_4 ),
    inference('cnf.neg',[status(esa)],[covered_5_5]) ).

thf(zip_derived_cl28,plain,
    ( vertical_4_5
    | horizontal_5_4 ),
    inference(cnf,[status(esa)],[zf_stmt_29]) ).

thf('28',plain,
    ( horizontal_5_4
    | vertical_4_5 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(covered_4_4,conjecture,
    ~ ( vertical_3_4
      | horizontal_4_3
      | vertical_4_4
      | horizontal_4_4 ) ).

thf(zf_stmt_30,negated_conjecture,
    ( vertical_3_4
    | horizontal_4_3
    | vertical_4_4
    | horizontal_4_4 ),
    inference('cnf.neg',[status(esa)],[covered_4_4]) ).

thf(zip_derived_cl22,plain,
    ( vertical_3_4
    | horizontal_4_3
    | vertical_4_4
    | horizontal_4_4 ),
    inference(cnf,[status(esa)],[zf_stmt_30]) ).

thf('29',plain,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_3_4
    | horizontal_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(unique_cover2_5_4,conjecture,
    ~ ( ~ horizontal_5_3
      | ~ horizontal_5_4 ) ).

thf(zf_stmt_31,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_5_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_5_4]) ).

thf(zip_derived_cl113,plain,
    ( ~ horizontal_5_3
    | ~ horizontal_5_4 ),
    inference(cnf,[status(esa)],[zf_stmt_31]) ).

thf('30',plain,
    ( ~ horizontal_5_3
    | ~ horizontal_5_4 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(unique_cover6_5_4,conjecture,
    ~ ( ~ vertical_4_4
      | ~ horizontal_5_3 ) ).

thf(zf_stmt_32,negated_conjecture,
    ( ~ vertical_4_4
    | ~ horizontal_5_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_5_4]) ).

thf(zip_derived_cl115,plain,
    ( ~ vertical_4_4
    | ~ horizontal_5_3 ),
    inference(cnf,[status(esa)],[zf_stmt_32]) ).

thf('31',plain,
    ( ~ horizontal_5_3
    | ~ vertical_4_4 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(unique_cover4_4_5,conjecture,
    ~ ( ~ horizontal_4_4
      | ~ vertical_4_5 ) ).

thf(zf_stmt_33,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_4_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_4_5]) ).

thf(zip_derived_cl103,plain,
    ( ~ horizontal_4_4
    | ~ vertical_4_5 ),
    inference(cnf,[status(esa)],[zf_stmt_33]) ).

thf('32',plain,
    ( ~ horizontal_4_4
    | ~ vertical_4_5 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(unique_cover4_3_2,conjecture,
    ~ ( ~ horizontal_3_1
      | ~ vertical_3_2 ) ).

thf(zf_stmt_34,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_3_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_3_2]) ).

thf(zip_derived_cl64,plain,
    ( ~ horizontal_3_1
    | ~ vertical_3_2 ),
    inference(cnf,[status(esa)],[zf_stmt_34]) ).

thf('33',plain,
    ( ~ horizontal_3_1
    | ~ vertical_3_2 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(unique_cover6_3_2,conjecture,
    ~ ( ~ vertical_2_2
      | ~ horizontal_3_1 ) ).

thf(zf_stmt_35,negated_conjecture,
    ( ~ vertical_2_2
    | ~ horizontal_3_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_3_2]) ).

thf(zip_derived_cl66,plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_1 ),
    inference(cnf,[status(esa)],[zf_stmt_35]) ).

thf('34',plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_1 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(unique_cover3_5_2,conjecture,
    ~ ( ~ vertical_4_2
      | ~ horizontal_5_2 ) ).

thf(zf_stmt_36,negated_conjecture,
    ( ~ vertical_4_2
    | ~ horizontal_5_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover3_5_2]) ).

thf(zip_derived_cl108,plain,
    ( ~ vertical_4_2
    | ~ horizontal_5_2 ),
    inference(cnf,[status(esa)],[zf_stmt_36]) ).

thf('35',plain,
    ( ~ vertical_4_2
    | ~ horizontal_5_2 ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(covered_3_1,conjecture,
    ~ ( vertical_2_1
      | vertical_3_1
      | horizontal_3_1 ) ).

thf(zf_stmt_37,negated_conjecture,
    ( vertical_2_1
    | vertical_3_1
    | horizontal_3_1 ),
    inference('cnf.neg',[status(esa)],[covered_3_1]) ).

thf(zip_derived_cl14,plain,
    ( vertical_2_1
    | vertical_3_1
    | horizontal_3_1 ),
    inference(cnf,[status(esa)],[zf_stmt_37]) ).

thf('36',plain,
    ( vertical_3_1
    | horizontal_3_1
    | vertical_2_1 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(unique_cover5_4_1,conjecture,
    ~ ( ~ vertical_3_1
      | ~ vertical_4_1 ) ).

thf(zf_stmt_38,negated_conjecture,
    ( ~ vertical_3_1
    | ~ vertical_4_1 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_4_1]) ).

thf(zip_derived_cl84,plain,
    ( ~ vertical_3_1
    | ~ vertical_4_1 ),
    inference(cnf,[status(esa)],[zf_stmt_38]) ).

thf('37',plain,
    ( ~ vertical_4_1
    | ~ vertical_3_1 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(covered_5_1,conjecture,
    ~ ( vertical_4_1
      | horizontal_5_1 ) ).

thf(zf_stmt_39,negated_conjecture,
    ( vertical_4_1
    | horizontal_5_1 ),
    inference('cnf.neg',[status(esa)],[covered_5_1]) ).

thf(zip_derived_cl24,plain,
    ( vertical_4_1
    | horizontal_5_1 ),
    inference(cnf,[status(esa)],[zf_stmt_39]) ).

thf('38',plain,
    ( horizontal_5_1
    | vertical_4_1 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(unique_cover2_5_2,conjecture,
    ~ ( ~ horizontal_5_1
      | ~ horizontal_5_2 ) ).

thf(zf_stmt_40,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ horizontal_5_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover2_5_2]) ).

thf(zip_derived_cl107,plain,
    ( ~ horizontal_5_1
    | ~ horizontal_5_2 ),
    inference(cnf,[status(esa)],[zf_stmt_40]) ).

thf('39',plain,
    ( ~ horizontal_5_2
    | ~ horizontal_5_1 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(covered_5_3,conjecture,
    ~ ( vertical_4_3
      | horizontal_5_2
      | horizontal_5_3 ) ).

thf(zf_stmt_41,negated_conjecture,
    ( vertical_4_3
    | horizontal_5_2
    | horizontal_5_3 ),
    inference('cnf.neg',[status(esa)],[covered_5_3]) ).

thf(zip_derived_cl26,plain,
    ( vertical_4_3
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(cnf,[status(esa)],[zf_stmt_41]) ).

thf('40',plain,
    ( vertical_4_3
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(unique_cover4_4_3,conjecture,
    ~ ( ~ horizontal_4_2
      | ~ vertical_4_3 ) ).

thf(zf_stmt_42,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_4_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_4_3]) ).

thf(zip_derived_cl94,plain,
    ( ~ horizontal_4_2
    | ~ vertical_4_3 ),
    inference(cnf,[status(esa)],[zf_stmt_42]) ).

thf('41',plain,
    ( ~ horizontal_4_2
    | ~ vertical_4_3 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(covered_4_2,conjecture,
    ~ ( vertical_3_2
      | horizontal_4_1
      | vertical_4_2
      | horizontal_4_2 ) ).

thf(zf_stmt_43,negated_conjecture,
    ( vertical_3_2
    | horizontal_4_1
    | vertical_4_2
    | horizontal_4_2 ),
    inference('cnf.neg',[status(esa)],[covered_4_2]) ).

thf(zip_derived_cl20,plain,
    ( vertical_3_2
    | horizontal_4_1
    | vertical_4_2
    | horizontal_4_2 ),
    inference(cnf,[status(esa)],[zf_stmt_43]) ).

thf('42',plain,
    ( vertical_3_2
    | horizontal_4_2
    | horizontal_4_1
    | vertical_4_2 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(unique_cover5_3_2,conjecture,
    ~ ( ~ vertical_2_2
      | ~ vertical_3_2 ) ).

thf(zf_stmt_44,negated_conjecture,
    ( ~ vertical_2_2
    | ~ vertical_3_2 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_3_2]) ).

thf(zip_derived_cl65,plain,
    ( ~ vertical_2_2
    | ~ vertical_3_2 ),
    inference(cnf,[status(esa)],[zf_stmt_44]) ).

thf('43',plain,
    ( ~ vertical_2_2
    | ~ vertical_3_2 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf('44',plain,
    ( horizontal_2_2
    | vertical_2_2
    | vertical_1_2
    | horizontal_2_1 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(unique_cover4_2_3,conjecture,
    ~ ( ~ horizontal_2_2
      | ~ vertical_2_3 ) ).

thf(zf_stmt_45,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_2_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_2_3]) ).

thf(zip_derived_cl46,plain,
    ( ~ horizontal_2_2
    | ~ vertical_2_3 ),
    inference(cnf,[status(esa)],[zf_stmt_45]) ).

thf('45',plain,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(covered_3_3,conjecture,
    ~ ( vertical_2_3
      | horizontal_3_2
      | vertical_3_3
      | horizontal_3_3 ) ).

thf(zf_stmt_46,negated_conjecture,
    ( vertical_2_3
    | horizontal_3_2
    | vertical_3_3
    | horizontal_3_3 ),
    inference('cnf.neg',[status(esa)],[covered_3_3]) ).

thf(zip_derived_cl16,plain,
    ( vertical_2_3
    | horizontal_3_2
    | vertical_3_3
    | horizontal_3_3 ),
    inference(cnf,[status(esa)],[zf_stmt_46]) ).

thf('46',plain,
    ( horizontal_3_3
    | vertical_2_3
    | horizontal_3_2
    | vertical_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(unique_cover6_3_4,conjecture,
    ~ ( ~ vertical_2_4
      | ~ horizontal_3_3 ) ).

thf(zf_stmt_47,negated_conjecture,
    ( ~ vertical_2_4
    | ~ horizontal_3_3 ),
    inference('cnf.neg',[status(esa)],[unique_cover6_3_4]) ).

thf(zip_derived_cl78,plain,
    ( ~ vertical_2_4
    | ~ horizontal_3_3 ),
    inference(cnf,[status(esa)],[zf_stmt_47]) ).

thf('47',plain,
    ( ~ vertical_2_4
    | ~ horizontal_3_3 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(covered_2_4,conjecture,
    ~ ( vertical_1_4
      | horizontal_2_3
      | vertical_2_4
      | horizontal_2_4 ) ).

thf(zf_stmt_48,negated_conjecture,
    ( vertical_1_4
    | horizontal_2_3
    | vertical_2_4
    | horizontal_2_4 ),
    inference('cnf.neg',[status(esa)],[covered_2_4]) ).

thf(zip_derived_cl12,plain,
    ( vertical_1_4
    | horizontal_2_3
    | vertical_2_4
    | horizontal_2_4 ),
    inference(cnf,[status(esa)],[zf_stmt_48]) ).

thf('48',plain,
    ( vertical_1_4
    | horizontal_2_4
    | horizontal_2_3
    | vertical_2_4 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(covered_1_5,conjecture,
    ~ ( horizontal_1_4
      | vertical_1_5 ) ).

thf(zf_stmt_49,negated_conjecture,
    ( horizontal_1_4
    | vertical_1_5 ),
    inference('cnf.neg',[status(esa)],[covered_1_5]) ).

thf(zip_derived_cl8,plain,
    ( horizontal_1_4
    | vertical_1_5 ),
    inference(cnf,[status(esa)],[zf_stmt_49]) ).

thf('49',plain,
    ( horizontal_1_4
    | vertical_1_5 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(unique_cover4_2_5,conjecture,
    ~ ( ~ horizontal_2_4
      | ~ vertical_2_5 ) ).

thf(zf_stmt_50,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_2_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover4_2_5]) ).

thf(zip_derived_cl55,plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_5 ),
    inference(cnf,[status(esa)],[zf_stmt_50]) ).

thf('50',plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_5 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(unique_cover5_2_5,conjecture,
    ~ ( ~ vertical_1_5
      | ~ vertical_2_5 ) ).

thf(zf_stmt_51,negated_conjecture,
    ( ~ vertical_1_5
    | ~ vertical_2_5 ),
    inference('cnf.neg',[status(esa)],[unique_cover5_2_5]) ).

thf(zip_derived_cl56,plain,
    ( ~ vertical_1_5
    | ~ vertical_2_5 ),
    inference(cnf,[status(esa)],[zf_stmt_51]) ).

thf('51',plain,
    ( ~ vertical_1_5
    | ~ vertical_2_5 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(unique_cover1_1_4,conjecture,
    ~ ( ~ vertical_1_4
      | ~ horizontal_1_4 ) ).

thf(zf_stmt_52,negated_conjecture,
    ( ~ vertical_1_4
    | ~ horizontal_1_4 ),
    inference('cnf.neg',[status(esa)],[unique_cover1_1_4]) ).

thf(zip_derived_cl30,plain,
    ( ~ vertical_1_4
    | ~ horizontal_1_4 ),
    inference(cnf,[status(esa)],[zf_stmt_52]) ).

thf('52',plain,
    ( ~ vertical_1_4
    | ~ horizontal_1_4 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(covered_3_5,conjecture,
    ~ ( vertical_2_5
      | horizontal_3_4
      | vertical_3_5 ) ).

thf(zf_stmt_53,negated_conjecture,
    ( vertical_2_5
    | horizontal_3_4
    | vertical_3_5 ),
    inference('cnf.neg',[status(esa)],[covered_3_5]) ).

thf(zip_derived_cl18,plain,
    ( vertical_2_5
    | horizontal_3_4
    | vertical_3_5 ),
    inference(cnf,[status(esa)],[zf_stmt_53]) ).

thf('53',plain,
    ( vertical_2_5
    | horizontal_3_4
    | vertical_3_5 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl389,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ016-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3IJL2Hb7X8 true
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 22:09:35 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.79  % Solved by fo/fo1_av.sh.
% 1.36/0.79  % done 94 iterations in 0.019s
% 1.36/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.79  % SZS output start Refutation
% See solution above
% 1.36/0.79  
% 1.36/0.79  
% 1.36/0.79  % Terminating...
% 1.61/0.85  % Runner terminated.
% 1.61/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------