%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ016-2.005 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NeeY662Woa true
% Computer : n028.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 Oct 2 04:49:29 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 62
% Syntax : Number of formulae : 385 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 986 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1074 ( 473 ~; 601 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 38 usr; 39 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_1_3_type,type,
horizontal_1_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_cover5_3_2,conjecture,
~ ( ~ vertical_2_2
| ~ vertical_3_2 ) ).
thf(zf_stmt_0,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_0]) ).
thf(covered_2_2,conjecture,
~ ( vertical_1_2
| horizontal_2_1
| vertical_2_2
| horizontal_2_2 ) ).
thf(zf_stmt_1,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_1]) ).
thf(uncovered2_1_2,conjecture,
vertical_1_2 ).
thf(zf_stmt_2,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_2]) ).
thf(zip_derived_cl134,plain,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).
thf(covered_1_1,conjecture,
~ ( vertical_1_1
| horizontal_1_1 ) ).
thf(zf_stmt_3,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_3]) ).
thf(uncovered3_1_2,conjecture,
horizontal_1_1 ).
thf(zf_stmt_4,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_4]) ).
thf(zip_derived_cl117,plain,
vertical_1_1,
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl4]) ).
thf(unique_cover3_2_1,conjecture,
~ ( ~ vertical_1_1
| ~ horizontal_2_1 ) ).
thf(zf_stmt_5,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_5]) ).
thf(zip_derived_cl124,plain,
~ horizontal_2_1,
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl35]) ).
thf(zip_derived_cl150,plain,
( vertical_2_2
| horizontal_2_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl134,zip_derived_cl124]) ).
thf(unique_cover2_2_3,conjecture,
~ ( ~ horizontal_2_2
| ~ horizontal_2_3 ) ).
thf(zf_stmt_6,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_6]) ).
thf(zip_derived_cl193,plain,
( vertical_2_2
| ~ horizontal_2_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl150,zip_derived_cl44]) ).
thf(covered_3_1,conjecture,
~ ( vertical_2_1
| vertical_3_1
| horizontal_3_1 ) ).
thf(zf_stmt_7,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_7]) ).
thf(zip_derived_cl117_001,plain,
vertical_1_1,
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl4]) ).
thf(unique_cover5_2_1,conjecture,
~ ( ~ vertical_1_1
| ~ vertical_2_1 ) ).
thf(zf_stmt_8,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_8]) ).
thf(zip_derived_cl125,plain,
~ vertical_2_1,
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl36]) ).
thf(zip_derived_cl133,plain,
( horizontal_3_1
| vertical_3_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl125]) ).
thf(covered_4_2,conjecture,
~ ( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ) ).
thf(zf_stmt_9,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_9]) ).
thf(unique_cover3_4_1,conjecture,
~ ( ~ vertical_3_1
| ~ horizontal_4_1 ) ).
thf(zf_stmt_10,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_10]) ).
thf(zip_derived_cl232,plain,
( horizontal_4_2
| vertical_4_2
| vertical_3_2
| ~ vertical_3_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl83]) ).
thf(covered_5_1,conjecture,
~ ( vertical_4_1
| horizontal_5_1 ) ).
thf(zf_stmt_11,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_11]) ).
thf(unique_cover5_4_1,conjecture,
~ ( ~ vertical_3_1
| ~ vertical_4_1 ) ).
thf(zf_stmt_12,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_12]) ).
thf(zip_derived_cl156,plain,
( horizontal_5_1
| ~ vertical_3_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl84]) ).
thf(unique_cover6_5_2,conjecture,
~ ( ~ vertical_4_2
| ~ horizontal_5_1 ) ).
thf(zf_stmt_13,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_13]) ).
thf(zip_derived_cl179,plain,
( ~ vertical_3_1
| ~ vertical_4_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl156,zip_derived_cl109]) ).
thf(zip_derived_cl851,plain,
( ~ vertical_3_1
| vertical_3_2
| horizontal_4_2 ),
inference(clc,[status(thm)],[zip_derived_cl232,zip_derived_cl179]) ).
thf(zip_derived_cl852,plain,
( horizontal_3_1
| vertical_3_2
| horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl851]) ).
thf(zip_derived_cl852_002,plain,
( horizontal_3_1
| vertical_3_2
| horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl851]) ).
thf(covered_4_4,conjecture,
~ ( vertical_3_4
| horizontal_4_3
| vertical_4_4
| horizontal_4_4 ) ).
thf(zf_stmt_14,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_14]) ).
thf(covered_5_5,conjecture,
~ ( vertical_4_5
| horizontal_5_4 ) ).
thf(zf_stmt_15,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_15]) ).
thf(unique_cover4_4_5,conjecture,
~ ( ~ horizontal_4_4
| ~ vertical_4_5 ) ).
thf(zf_stmt_16,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_16]) ).
thf(zip_derived_cl161,plain,
( horizontal_5_4
| ~ horizontal_4_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl103]) ).
thf(zip_derived_cl202,plain,
( vertical_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_5_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl161]) ).
thf(covered_5_3,conjecture,
~ ( vertical_4_3
| horizontal_5_2
| horizontal_5_3 ) ).
thf(zf_stmt_17,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_17]) ).
thf(unique_cover6_5_4,conjecture,
~ ( ~ vertical_4_4
| ~ horizontal_5_3 ) ).
thf(zf_stmt_18,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_18]) ).
thf(zip_derived_cl184,plain,
( horizontal_5_2
| vertical_4_3
| ~ vertical_4_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl115]) ).
thf(zip_derived_cl349,plain,
( horizontal_5_4
| vertical_3_4
| horizontal_4_3
| vertical_4_3
| horizontal_5_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl202,zip_derived_cl184]) ).
thf(unique_cover4_4_3,conjecture,
~ ( ~ horizontal_4_2
| ~ vertical_4_3 ) ).
thf(zf_stmt_19,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_19]) ).
thf(zip_derived_cl518,plain,
( horizontal_5_2
| horizontal_4_3
| vertical_3_4
| horizontal_5_4
| ~ horizontal_4_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl349,zip_derived_cl94]) ).
thf(unique_cover2_4_3,conjecture,
~ ( ~ horizontal_4_2
| ~ horizontal_4_3 ) ).
thf(zf_stmt_20,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_20]) ).
thf(zip_derived_cl875,plain,
( ~ horizontal_4_2
| horizontal_5_4
| vertical_3_4
| horizontal_5_2 ),
inference(clc,[status(thm)],[zip_derived_cl518,zip_derived_cl92]) ).
thf(zip_derived_cl26_003,plain,
( vertical_4_3
| horizontal_5_2
| horizontal_5_3 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(unique_cover2_5_4,conjecture,
~ ( ~ horizontal_5_3
| ~ horizontal_5_4 ) ).
thf(zf_stmt_21,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_21]) ).
thf(zip_derived_cl183,plain,
( horizontal_5_2
| vertical_4_3
| ~ horizontal_5_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl113]) ).
thf(zip_derived_cl94_004,plain,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl506,plain,
( ~ horizontal_5_4
| horizontal_5_2
| ~ horizontal_4_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl183,zip_derived_cl94]) ).
thf(zip_derived_cl876,plain,
( horizontal_5_2
| vertical_3_4
| ~ horizontal_4_2 ),
inference(clc,[status(thm)],[zip_derived_cl875,zip_derived_cl506]) ).
thf(zip_derived_cl877,plain,
( vertical_3_2
| horizontal_3_1
| horizontal_5_2
| vertical_3_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl852,zip_derived_cl876]) ).
thf(zip_derived_cl133_005,plain,
( horizontal_3_1
| vertical_3_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl125]) ).
thf(zip_derived_cl156_006,plain,
( horizontal_5_1
| ~ vertical_3_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl84]) ).
thf(unique_cover2_5_2,conjecture,
~ ( ~ horizontal_5_1
| ~ horizontal_5_2 ) ).
thf(zf_stmt_22,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_22]) ).
thf(zip_derived_cl178,plain,
( ~ vertical_3_1
| ~ horizontal_5_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl156,zip_derived_cl107]) ).
thf(zip_derived_cl844,plain,
( horizontal_3_1
| ~ horizontal_5_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl178]) ).
thf(zip_derived_cl878,plain,
( vertical_3_4
| horizontal_3_1
| vertical_3_2 ),
inference(clc,[status(thm)],[zip_derived_cl877,zip_derived_cl844]) ).
thf(covered_2_4,conjecture,
~ ( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ) ).
thf(zf_stmt_23,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_23]) ).
thf(unique_cover5_3_4,conjecture,
~ ( ~ vertical_2_4
| ~ vertical_3_4 ) ).
thf(zf_stmt_24,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_24]) ).
thf(zip_derived_cl212,plain,
( horizontal_2_4
| horizontal_2_3
| vertical_1_4
| ~ vertical_3_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl77]) ).
thf(covered_3_5,conjecture,
~ ( vertical_2_5
| horizontal_3_4
| vertical_3_5 ) ).
thf(zf_stmt_25,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_25]) ).
thf(covered_1_5,conjecture,
~ ( horizontal_1_4
| vertical_1_5 ) ).
thf(zf_stmt_26,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_26]) ).
thf(unique_cover1_1_4,conjecture,
~ ( ~ vertical_1_4
| ~ horizontal_1_4 ) ).
thf(zf_stmt_27,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_27]) ).
thf(zip_derived_cl126,plain,
( vertical_1_5
| ~ vertical_1_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl30]) ).
thf(unique_cover5_2_5,conjecture,
~ ( ~ vertical_1_5
| ~ vertical_2_5 ) ).
thf(zf_stmt_28,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_28]) ).
thf(zip_derived_cl145,plain,
( ~ vertical_1_4
| ~ vertical_2_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl126,zip_derived_cl56]) ).
thf(zip_derived_cl167,plain,
( vertical_3_5
| horizontal_3_4
| ~ vertical_1_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl145]) ).
thf(zip_derived_cl433,plain,
( ~ vertical_3_4
| horizontal_2_3
| horizontal_2_4
| horizontal_3_4
| vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl212,zip_derived_cl167]) ).
thf(zip_derived_cl18_007,plain,
( vertical_2_5
| horizontal_3_4
| vertical_3_5 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(unique_cover4_2_5,conjecture,
~ ( ~ horizontal_2_4
| ~ vertical_2_5 ) ).
thf(zf_stmt_29,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_29]) ).
thf(zip_derived_cl164,plain,
( vertical_3_5
| horizontal_3_4
| ~ horizontal_2_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl55]) ).
thf(zip_derived_cl450,plain,
( vertical_3_5
| horizontal_3_4
| horizontal_2_3
| ~ vertical_3_4
| horizontal_3_4
| vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl433,zip_derived_cl164]) ).
thf(zip_derived_cl882,plain,
( ~ vertical_3_4
| horizontal_2_3
| horizontal_3_4
| vertical_3_5 ),
inference(simplify,[status(thm)],[zip_derived_cl450]) ).
thf(unique_cover1_3_4,conjecture,
~ ( ~ vertical_3_4
| ~ horizontal_3_4 ) ).
thf(zf_stmt_30,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_30]) ).
thf(zip_derived_cl883,plain,
( vertical_3_5
| horizontal_2_3
| ~ vertical_3_4 ),
inference(clc,[status(thm)],[zip_derived_cl882,zip_derived_cl73]) ).
thf(zip_derived_cl884,plain,
( vertical_3_2
| horizontal_3_1
| vertical_3_5
| horizontal_2_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl878,zip_derived_cl883]) ).
thf(zip_derived_cl28_008,plain,
( vertical_4_5
| horizontal_5_4 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(unique_cover5_4_5,conjecture,
~ ( ~ vertical_3_5
| ~ vertical_4_5 ) ).
thf(zf_stmt_31,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_31]) ).
thf(zip_derived_cl162,plain,
( horizontal_5_4
| ~ vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl104]) ).
thf(zip_derived_cl885,plain,
( horizontal_2_3
| horizontal_3_1
| vertical_3_2
| horizontal_5_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl884,zip_derived_cl162]) ).
thf(zip_derived_cl506_009,plain,
( ~ horizontal_5_4
| horizontal_5_2
| ~ horizontal_4_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl183,zip_derived_cl94]) ).
thf(zip_derived_cl892,plain,
( vertical_3_2
| horizontal_3_1
| horizontal_2_3
| horizontal_5_2
| ~ horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl506]) ).
thf(unique_cover3_4_2,conjecture,
~ ( ~ vertical_3_2
| ~ horizontal_4_2 ) ).
thf(zf_stmt_32,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
inference('cnf.neg',[status(esa)],[unique_cover3_4_2]) ).
thf(zip_derived_cl87,plain,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl917,plain,
( ~ horizontal_4_2
| horizontal_5_2
| horizontal_2_3
| horizontal_3_1 ),
inference(clc,[status(thm)],[zip_derived_cl892,zip_derived_cl87]) ).
thf(zip_derived_cl844_010,plain,
( horizontal_3_1
| ~ horizontal_5_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl178]) ).
thf(zip_derived_cl918,plain,
( horizontal_3_1
| horizontal_2_3
| ~ horizontal_4_2 ),
inference(clc,[status(thm)],[zip_derived_cl917,zip_derived_cl844]) ).
thf(zip_derived_cl919,plain,
( vertical_3_2
| horizontal_3_1
| horizontal_3_1
| horizontal_2_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl852,zip_derived_cl918]) ).
thf(zip_derived_cl920,plain,
( horizontal_2_3
| horizontal_3_1
| vertical_3_2 ),
inference(simplify,[status(thm)],[zip_derived_cl919]) ).
thf(covered_3_3,conjecture,
~ ( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ) ).
thf(zf_stmt_33,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_33]) ).
thf(unique_cover1_3_2,conjecture,
~ ( ~ vertical_3_2
| ~ horizontal_3_2 ) ).
thf(zf_stmt_34,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_34]) ).
thf(zip_derived_cl226,plain,
( horizontal_3_3
| vertical_3_3
| vertical_2_3
| ~ vertical_3_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl61]) ).
thf(zip_derived_cl150_011,plain,
( vertical_2_2
| horizontal_2_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl134,zip_derived_cl124]) ).
thf(unique_cover4_2_3,conjecture,
~ ( ~ horizontal_2_2
| ~ vertical_2_3 ) ).
thf(zf_stmt_35,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_35]) ).
thf(zip_derived_cl194,plain,
( vertical_2_2
| ~ vertical_2_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl150,zip_derived_cl46]) ).
thf(zip_derived_cl464,plain,
( ~ vertical_3_2
| vertical_3_3
| horizontal_3_3
| vertical_2_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl226,zip_derived_cl194]) ).
thf(zip_derived_cl65_012,plain,
( ~ vertical_2_2
| ~ vertical_3_2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl860,plain,
( horizontal_3_3
| vertical_3_3
| ~ vertical_3_2 ),
inference(clc,[status(thm)],[zip_derived_cl464,zip_derived_cl65]) ).
thf(zip_derived_cl924,plain,
( horizontal_3_1
| horizontal_2_3
| horizontal_3_3
| vertical_3_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl920,zip_derived_cl860]) ).
thf(zip_derived_cl16_013,plain,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(unique_cover2_3_2,conjecture,
~ ( ~ horizontal_3_1
| ~ horizontal_3_2 ) ).
thf(zf_stmt_36,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_36]) ).
thf(zip_derived_cl227,plain,
( horizontal_3_3
| vertical_3_3
| vertical_2_3
| ~ horizontal_3_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl62]) ).
thf(zip_derived_cl194_014,plain,
( vertical_2_2
| ~ vertical_2_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl150,zip_derived_cl46]) ).
thf(zip_derived_cl470,plain,
( ~ horizontal_3_1
| vertical_3_3
| horizontal_3_3
| vertical_2_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl227,zip_derived_cl194]) ).
thf(unique_cover6_3_2,conjecture,
~ ( ~ vertical_2_2
| ~ horizontal_3_1 ) ).
thf(zf_stmt_37,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_37]) ).
thf(zip_derived_cl861,plain,
( horizontal_3_3
| vertical_3_3
| ~ horizontal_3_1 ),
inference(clc,[status(thm)],[zip_derived_cl470,zip_derived_cl66]) ).
thf(zip_derived_cl933,plain,
( vertical_3_3
| horizontal_3_3
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl924,zip_derived_cl861]) ).
thf(zip_derived_cl16_015,plain,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(unique_cover3_3_2,conjecture,
~ ( ~ vertical_2_2
| ~ horizontal_3_2 ) ).
thf(zf_stmt_38,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_38]) ).
thf(zip_derived_cl228,plain,
( horizontal_3_3
| vertical_3_3
| vertical_2_3
| ~ vertical_2_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl63]) ).
thf(unique_cover1_2_3,conjecture,
~ ( ~ vertical_2_3
| ~ horizontal_2_3 ) ).
thf(zf_stmt_39,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_39]) ).
thf(zip_derived_cl473,plain,
( ~ vertical_2_2
| vertical_3_3
| horizontal_3_3
| ~ horizontal_2_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl228,zip_derived_cl43]) ).
thf(zip_derived_cl193_016,plain,
( vertical_2_2
| ~ horizontal_2_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl150,zip_derived_cl44]) ).
thf(zip_derived_cl856,plain,
( ~ horizontal_2_3
| horizontal_3_3
| vertical_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl473,zip_derived_cl193]) ).
thf(zip_derived_cl934,plain,
( horizontal_3_3
| vertical_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl933,zip_derived_cl856]) ).
thf(zip_derived_cl934_017,plain,
( horizontal_3_3
| vertical_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl933,zip_derived_cl856]) ).
thf(zip_derived_cl349_018,plain,
( horizontal_5_4
| vertical_3_4
| horizontal_4_3
| vertical_4_3
| horizontal_5_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl202,zip_derived_cl184]) ).
thf(unique_cover5_4_3,conjecture,
~ ( ~ vertical_3_3
| ~ vertical_4_3 ) ).
thf(zf_stmt_40,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_40]) ).
thf(zip_derived_cl519,plain,
( horizontal_5_2
| horizontal_4_3
| vertical_3_4
| horizontal_5_4
| ~ vertical_3_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl349,zip_derived_cl95]) ).
thf(unique_cover3_4_3,conjecture,
~ ( ~ vertical_3_3
| ~ horizontal_4_3 ) ).
thf(zf_stmt_41,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_41]) ).
thf(zip_derived_cl896,plain,
( ~ vertical_3_3
| horizontal_5_4
| vertical_3_4
| horizontal_5_2 ),
inference(clc,[status(thm)],[zip_derived_cl519,zip_derived_cl93]) ).
thf(zip_derived_cl183_019,plain,
( horizontal_5_2
| vertical_4_3
| ~ horizontal_5_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl113]) ).
thf(zip_derived_cl95_020,plain,
( ~ vertical_3_3
| ~ vertical_4_3 ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf(zip_derived_cl507,plain,
( ~ horizontal_5_4
| horizontal_5_2
| ~ vertical_3_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl183,zip_derived_cl95]) ).
thf(zip_derived_cl897,plain,
( horizontal_5_2
| vertical_3_4
| ~ vertical_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl896,zip_derived_cl507]) ).
thf(zip_derived_cl939,plain,
( horizontal_3_3
| horizontal_5_2
| vertical_3_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl897]) ).
thf(zip_derived_cl20_021,plain,
( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl24_022,plain,
( vertical_4_1
| horizontal_5_1 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(unique_cover1_4_1,conjecture,
~ ( ~ vertical_4_1
| ~ horizontal_4_1 ) ).
thf(zf_stmt_42,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_42]) ).
thf(zip_derived_cl155,plain,
( horizontal_5_1
| ~ horizontal_4_1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl82]) ).
thf(zip_derived_cl107_023,plain,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf(zip_derived_cl175,plain,
( ~ horizontal_4_1
| ~ horizontal_5_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl155,zip_derived_cl107]) ).
thf(zip_derived_cl236,plain,
( horizontal_4_2
| vertical_4_2
| vertical_3_2
| ~ horizontal_5_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl175]) ).
thf(unique_cover3_5_2,conjecture,
~ ( ~ vertical_4_2
| ~ horizontal_5_2 ) ).
thf(zf_stmt_43,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_43]) ).
thf(zip_derived_cl855,plain,
( ~ horizontal_5_2
| vertical_3_2
| horizontal_4_2 ),
inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl108]) ).
thf(zip_derived_cl944,plain,
( vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl939,zip_derived_cl855]) ).
thf(zip_derived_cl934_024,plain,
( horizontal_3_3
| vertical_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl933,zip_derived_cl856]) ).
thf(unique_cover6_4_3,conjecture,
~ ( ~ vertical_3_3
| ~ horizontal_4_2 ) ).
thf(zf_stmt_44,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_44]) ).
thf(zip_derived_cl937,plain,
( horizontal_3_3
| ~ horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl96]) ).
thf(zip_derived_cl977,plain,
( vertical_3_2
| horizontal_3_3
| vertical_3_4 ),
inference(clc,[status(thm)],[zip_derived_cl944,zip_derived_cl937]) ).
thf(zip_derived_cl883_025,plain,
( vertical_3_5
| horizontal_2_3
| ~ vertical_3_4 ),
inference(clc,[status(thm)],[zip_derived_cl882,zip_derived_cl73]) ).
thf(zip_derived_cl981,plain,
( horizontal_3_3
| vertical_3_2
| vertical_3_5
| horizontal_2_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl977,zip_derived_cl883]) ).
thf(zip_derived_cl12_026,plain,
( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(unique_cover6_3_4,conjecture,
~ ( ~ vertical_2_4
| ~ horizontal_3_3 ) ).
thf(zf_stmt_45,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_45]) ).
thf(zip_derived_cl213,plain,
( horizontal_2_4
| horizontal_2_3
| vertical_1_4
| ~ horizontal_3_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl78]) ).
thf(zip_derived_cl167_027,plain,
( vertical_3_5
| horizontal_3_4
| ~ vertical_1_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl145]) ).
thf(zip_derived_cl438,plain,
( ~ horizontal_3_3
| horizontal_2_3
| horizontal_2_4
| horizontal_3_4
| vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl213,zip_derived_cl167]) ).
thf(zip_derived_cl164_028,plain,
( vertical_3_5
| horizontal_3_4
| ~ horizontal_2_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl55]) ).
thf(zip_derived_cl453,plain,
( vertical_3_5
| horizontal_3_4
| horizontal_2_3
| ~ horizontal_3_3
| horizontal_3_4
| vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl438,zip_derived_cl164]) ).
thf(zip_derived_cl894,plain,
( ~ horizontal_3_3
| horizontal_2_3
| horizontal_3_4
| vertical_3_5 ),
inference(simplify,[status(thm)],[zip_derived_cl453]) ).
thf(unique_cover2_3_4,conjecture,
~ ( ~ horizontal_3_3
| ~ horizontal_3_4 ) ).
thf(zf_stmt_46,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_46]) ).
thf(zip_derived_cl895,plain,
( vertical_3_5
| horizontal_2_3
| ~ horizontal_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl894,zip_derived_cl74]) ).
thf(zip_derived_cl999,plain,
( horizontal_2_3
| vertical_3_5
| vertical_3_2 ),
inference(clc,[status(thm)],[zip_derived_cl981,zip_derived_cl895]) ).
thf(zip_derived_cl22_029,plain,
( vertical_3_4
| horizontal_4_3
| vertical_4_4
| horizontal_4_4 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(unique_cover6_4_5,conjecture,
~ ( ~ vertical_3_5
| ~ horizontal_4_4 ) ).
thf(zf_stmt_47,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_47]) ).
thf(zip_derived_cl201,plain,
( vertical_4_4
| horizontal_4_3
| vertical_3_4
| ~ vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl105]) ).
thf(unique_cover3_5_4,conjecture,
~ ( ~ vertical_4_4
| ~ horizontal_5_4 ) ).
thf(zf_stmt_48,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_48]) ).
thf(zip_derived_cl343,plain,
( ~ vertical_3_5
| vertical_3_4
| horizontal_4_3
| ~ horizontal_5_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl201,zip_derived_cl114]) ).
thf(zip_derived_cl162_030,plain,
( horizontal_5_4
| ~ vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl104]) ).
thf(zip_derived_cl854,plain,
( horizontal_4_3
| vertical_3_4
| ~ vertical_3_5 ),
inference(clc,[status(thm)],[zip_derived_cl343,zip_derived_cl162]) ).
thf(zip_derived_cl1002,plain,
( vertical_3_2
| horizontal_2_3
| horizontal_4_3
| vertical_3_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl999,zip_derived_cl854]) ).
thf(zip_derived_cl934_031,plain,
( horizontal_3_3
| vertical_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl933,zip_derived_cl856]) ).
thf(zip_derived_cl939_032,plain,
( horizontal_3_3
| horizontal_5_2
| vertical_3_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl897]) ).
thf(zip_derived_cl844_033,plain,
( horizontal_3_1
| ~ horizontal_5_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl178]) ).
thf(zip_derived_cl943,plain,
( vertical_3_4
| horizontal_3_3
| horizontal_3_1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl939,zip_derived_cl844]) ).
thf(zip_derived_cl883_034,plain,
( vertical_3_5
| horizontal_2_3
| ~ vertical_3_4 ),
inference(clc,[status(thm)],[zip_derived_cl882,zip_derived_cl73]) ).
thf(zip_derived_cl952,plain,
( horizontal_3_1
| horizontal_3_3
| vertical_3_5
| horizontal_2_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl943,zip_derived_cl883]) ).
thf(zip_derived_cl895_035,plain,
( vertical_3_5
| horizontal_2_3
| ~ horizontal_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl894,zip_derived_cl74]) ).
thf(zip_derived_cl984,plain,
( horizontal_2_3
| vertical_3_5
| horizontal_3_1 ),
inference(clc,[status(thm)],[zip_derived_cl952,zip_derived_cl895]) ).
thf(zip_derived_cl162_036,plain,
( horizontal_5_4
| ~ vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl104]) ).
thf(zip_derived_cl985,plain,
( horizontal_3_1
| horizontal_2_3
| horizontal_5_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl984,zip_derived_cl162]) ).
thf(zip_derived_cl507_037,plain,
( ~ horizontal_5_4
| horizontal_5_2
| ~ vertical_3_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl183,zip_derived_cl95]) ).
thf(zip_derived_cl993,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_5_2
| ~ vertical_3_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl985,zip_derived_cl507]) ).
thf(zip_derived_cl844_038,plain,
( horizontal_3_1
| ~ horizontal_5_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl178]) ).
thf(zip_derived_cl1015,plain,
( ~ vertical_3_3
| horizontal_3_1
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl993,zip_derived_cl844]) ).
thf(zip_derived_cl1016,plain,
( horizontal_3_3
| horizontal_3_1
| horizontal_2_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl1015]) ).
thf(unique_cover4_3_4,conjecture,
~ ( ~ horizontal_3_3
| ~ vertical_3_4 ) ).
thf(zf_stmt_49,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_49]) ).
thf(zip_derived_cl1025,plain,
( horizontal_2_3
| horizontal_3_1
| ~ vertical_3_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1016,zip_derived_cl76]) ).
thf(zip_derived_cl984_039,plain,
( horizontal_2_3
| vertical_3_5
| horizontal_3_1 ),
inference(clc,[status(thm)],[zip_derived_cl952,zip_derived_cl895]) ).
thf(zip_derived_cl854_040,plain,
( horizontal_4_3
| vertical_3_4
| ~ vertical_3_5 ),
inference(clc,[status(thm)],[zip_derived_cl343,zip_derived_cl162]) ).
thf(zip_derived_cl987,plain,
( horizontal_3_1
| horizontal_2_3
| horizontal_4_3
| vertical_3_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl984,zip_derived_cl854]) ).
thf(zip_derived_cl985_041,plain,
( horizontal_3_1
| horizontal_2_3
| horizontal_5_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl984,zip_derived_cl162]) ).
thf(zip_derived_cl183_042,plain,
( horizontal_5_2
| vertical_4_3
| ~ horizontal_5_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl113]) ).
thf(unique_cover1_4_3,conjecture,
~ ( ~ vertical_4_3
| ~ horizontal_4_3 ) ).
thf(zf_stmt_50,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_50]) ).
thf(zip_derived_cl505,plain,
( ~ horizontal_5_4
| horizontal_5_2
| ~ horizontal_4_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl183,zip_derived_cl91]) ).
thf(zip_derived_cl991,plain,
( horizontal_2_3
| horizontal_3_1
| horizontal_5_2
| ~ horizontal_4_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl985,zip_derived_cl505]) ).
thf(zip_derived_cl844_043,plain,
( horizontal_3_1
| ~ horizontal_5_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl178]) ).
thf(zip_derived_cl1012,plain,
( ~ horizontal_4_3
| horizontal_3_1
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl991,zip_derived_cl844]) ).
thf(zip_derived_cl1017,plain,
( vertical_3_4
| horizontal_2_3
| horizontal_3_1 ),
inference(clc,[status(thm)],[zip_derived_cl987,zip_derived_cl1012]) ).
thf(zip_derived_cl1030,plain,
( horizontal_3_1
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl1025,zip_derived_cl1017]) ).
thf(unique_cover4_3_2,conjecture,
~ ( ~ horizontal_3_1
| ~ vertical_3_2 ) ).
thf(zf_stmt_51,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_51]) ).
thf(zip_derived_cl1031,plain,
( horizontal_2_3
| ~ vertical_3_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1030,zip_derived_cl64]) ).
thf(zip_derived_cl1033,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl1002,zip_derived_cl1031]) ).
thf(zip_derived_cl934_044,plain,
( horizontal_3_3
| vertical_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl933,zip_derived_cl856]) ).
thf(zip_derived_cl93_045,plain,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl936,plain,
( horizontal_3_3
| ~ horizontal_4_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl93]) ).
thf(zip_derived_cl1034,plain,
( horizontal_2_3
| vertical_3_4
| horizontal_3_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1033,zip_derived_cl936]) ).
thf(covered_3_4,conjecture,
~ ( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ) ).
thf(zf_stmt_52,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_cl17,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf(unique_cover4_2_4,conjecture,
~ ( ~ horizontal_2_3
| ~ vertical_2_4 ) ).
thf(zf_stmt_53,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
inference('cnf.neg',[status(esa)],[unique_cover4_2_4]) ).
thf(zip_derived_cl52,plain,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf(zip_derived_cl215,plain,
( horizontal_3_4
| vertical_3_4
| horizontal_3_3
| ~ horizontal_2_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl52]) ).
thf(covered_2_5,conjecture,
~ ( vertical_1_5
| horizontal_2_4
| vertical_2_5 ) ).
thf(zf_stmt_54,negated_conjecture,
( vertical_1_5
| horizontal_2_4
| vertical_2_5 ),
inference('cnf.neg',[status(esa)],[covered_2_5]) ).
thf(zip_derived_cl13,plain,
( vertical_1_5
| horizontal_2_4
| vertical_2_5 ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf(covered_1_4,conjecture,
~ ( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ) ).
thf(zf_stmt_55,negated_conjecture,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
inference('cnf.neg',[status(esa)],[covered_1_4]) ).
thf(zip_derived_cl7,plain,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf(uncovered1_1_3,conjecture,
horizontal_1_3 ).
thf(zf_stmt_56,negated_conjecture,
~ horizontal_1_3,
inference('cnf.neg',[status(esa)],[uncovered1_1_3]) ).
thf(zip_derived_cl1,plain,
~ horizontal_1_3,
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf(zip_derived_cl119,plain,
( horizontal_1_4
| vertical_1_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(unique_cover4_1_5,conjecture,
~ ( ~ horizontal_1_4
| ~ vertical_1_5 ) ).
thf(zf_stmt_57,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
inference('cnf.neg',[status(esa)],[unique_cover4_1_5]) ).
thf(zip_derived_cl33,plain,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf(zip_derived_cl129,plain,
( vertical_1_4
| ~ vertical_1_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl119,zip_derived_cl33]) ).
thf(zip_derived_cl144,plain,
( vertical_2_5
| horizontal_2_4
| vertical_1_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl129]) ).
thf(unique_cover6_3_5,conjecture,
~ ( ~ vertical_2_5
| ~ horizontal_3_4 ) ).
thf(zf_stmt_58,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
inference('cnf.neg',[status(esa)],[unique_cover6_3_5]) ).
thf(zip_derived_cl81,plain,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
inference(cnf,[status(esa)],[zf_stmt_58]) ).
thf(zip_derived_cl170,plain,
( vertical_1_4
| horizontal_2_4
| ~ horizontal_3_4 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl144,zip_derived_cl81]) ).
thf(unique_cover6_2_4,conjecture,
~ ( ~ vertical_1_4
| ~ horizontal_2_3 ) ).
thf(zf_stmt_59,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
inference('cnf.neg',[status(esa)],[unique_cover6_2_4]) ).
thf(zip_derived_cl54,plain,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf(zip_derived_cl421,plain,
( ~ horizontal_3_4
| horizontal_2_4
| ~ horizontal_2_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl170,zip_derived_cl54]) ).
thf(unique_cover2_2_4,conjecture,
~ ( ~ horizontal_2_3
| ~ horizontal_2_4 ) ).
thf(zf_stmt_60,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
inference('cnf.neg',[status(esa)],[unique_cover2_2_4]) ).
thf(zip_derived_cl50,plain,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
inference(cnf,[status(esa)],[zf_stmt_60]) ).
thf(zip_derived_cl446,plain,
( ~ horizontal_2_3
| ~ horizontal_3_4
| ~ horizontal_2_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl421,zip_derived_cl50]) ).
thf(zip_derived_cl847,plain,
( ~ horizontal_3_4
| ~ horizontal_2_3 ),
inference(simplify,[status(thm)],[zip_derived_cl446]) ).
thf(zip_derived_cl850,plain,
( ~ horizontal_2_3
| horizontal_3_3
| vertical_3_4 ),
inference(clc,[status(thm)],[zip_derived_cl215,zip_derived_cl847]) ).
thf(zip_derived_cl1037,plain,
( horizontal_3_3
| vertical_3_4 ),
inference(clc,[status(thm)],[zip_derived_cl1034,zip_derived_cl850]) ).
thf(zip_derived_cl883_046,plain,
( vertical_3_5
| horizontal_2_3
| ~ vertical_3_4 ),
inference(clc,[status(thm)],[zip_derived_cl882,zip_derived_cl73]) ).
thf(zip_derived_cl1041,plain,
( horizontal_3_3
| vertical_3_5
| horizontal_2_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1037,zip_derived_cl883]) ).
thf(zip_derived_cl895_047,plain,
( vertical_3_5
| horizontal_2_3
| ~ horizontal_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl894,zip_derived_cl74]) ).
thf(zip_derived_cl1046,plain,
( horizontal_2_3
| vertical_3_5 ),
inference(clc,[status(thm)],[zip_derived_cl1041,zip_derived_cl895]) ).
thf(zip_derived_cl162_048,plain,
( horizontal_5_4
| ~ vertical_3_5 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl104]) ).
thf(zip_derived_cl1047,plain,
( horizontal_2_3
| horizontal_5_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1046,zip_derived_cl162]) ).
thf(zip_derived_cl507_049,plain,
( ~ horizontal_5_4
| horizontal_5_2
| ~ vertical_3_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl183,zip_derived_cl95]) ).
thf(zip_derived_cl1054,plain,
( horizontal_2_3
| horizontal_5_2
| ~ vertical_3_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1047,zip_derived_cl507]) ).
thf(zip_derived_cl1062,plain,
( horizontal_3_3
| horizontal_2_3
| horizontal_5_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl1054]) ).
thf(zip_derived_cl855_050,plain,
( ~ horizontal_5_2
| vertical_3_2
| horizontal_4_2 ),
inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl108]) ).
thf(zip_derived_cl1072,plain,
( horizontal_2_3
| horizontal_3_3
| vertical_3_2
| horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1062,zip_derived_cl855]) ).
thf(zip_derived_cl1031_051,plain,
( horizontal_2_3
| ~ vertical_3_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1030,zip_derived_cl64]) ).
thf(zip_derived_cl1097,plain,
( horizontal_4_2
| horizontal_3_3
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl1072,zip_derived_cl1031]) ).
thf(zip_derived_cl937_052,plain,
( horizontal_3_3
| ~ horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl96]) ).
thf(zip_derived_cl1098,plain,
( horizontal_2_3
| horizontal_3_3 ),
inference(clc,[status(thm)],[zip_derived_cl1097,zip_derived_cl937]) ).
thf(zip_derived_cl76_053,plain,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf(zip_derived_cl1099,plain,
( horizontal_2_3
| ~ vertical_3_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl76]) ).
thf(zip_derived_cl1033_054,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl1002,zip_derived_cl1031]) ).
thf(zip_derived_cl1033_055,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl1002,zip_derived_cl1031]) ).
thf(zip_derived_cl1047_056,plain,
( horizontal_2_3
| horizontal_5_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1046,zip_derived_cl162]) ).
thf(zip_derived_cl505_057,plain,
( ~ horizontal_5_4
| horizontal_5_2
| ~ horizontal_4_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl183,zip_derived_cl91]) ).
thf(zip_derived_cl1052,plain,
( horizontal_2_3
| horizontal_5_2
| ~ horizontal_4_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1047,zip_derived_cl505]) ).
thf(zip_derived_cl1060,plain,
( horizontal_2_3
| vertical_3_4
| horizontal_2_3
| horizontal_5_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1033,zip_derived_cl1052]) ).
thf(zip_derived_cl1061,plain,
( horizontal_5_2
| vertical_3_4
| horizontal_2_3 ),
inference(simplify,[status(thm)],[zip_derived_cl1060]) ).
thf(zip_derived_cl855_058,plain,
( ~ horizontal_5_2
| vertical_3_2
| horizontal_4_2 ),
inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl108]) ).
thf(zip_derived_cl1067,plain,
( horizontal_2_3
| vertical_3_4
| vertical_3_2
| horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1061,zip_derived_cl855]) ).
thf(zip_derived_cl1031_059,plain,
( horizontal_2_3
| ~ vertical_3_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1030,zip_derived_cl64]) ).
thf(zip_derived_cl1075,plain,
( horizontal_4_2
| vertical_3_4
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl1067,zip_derived_cl1031]) ).
thf(zip_derived_cl92_060,plain,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl1076,plain,
( horizontal_2_3
| vertical_3_4
| ~ horizontal_4_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1075,zip_derived_cl92]) ).
thf(unique_cover6_4_4,conjecture,
~ ( ~ vertical_3_4
| ~ horizontal_4_3 ) ).
thf(zf_stmt_61,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_61]) ).
thf(zip_derived_cl1086,plain,
( ~ horizontal_4_3
| horizontal_2_3 ),
inference(clc,[status(thm)],[zip_derived_cl1076,zip_derived_cl102]) ).
thf(zip_derived_cl1087,plain,
( horizontal_2_3
| vertical_3_4
| horizontal_2_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1033,zip_derived_cl1086]) ).
thf(zip_derived_cl1088,plain,
( vertical_3_4
| horizontal_2_3 ),
inference(simplify,[status(thm)],[zip_derived_cl1087]) ).
thf(zip_derived_cl1102,plain,
horizontal_2_3,
inference(clc,[status(thm)],[zip_derived_cl1099,zip_derived_cl1088]) ).
thf(zip_derived_cl1103,plain,
vertical_2_2,
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl1102]) ).
thf(zip_derived_cl1107,plain,
~ vertical_3_2,
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl1103]) ).
thf(zip_derived_cl852_061,plain,
( horizontal_3_1
| vertical_3_2
| horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl851]) ).
thf(zip_derived_cl937_062,plain,
( horizontal_3_3
| ~ horizontal_4_2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl96]) ).
thf(zip_derived_cl948,plain,
( vertical_3_2
| horizontal_3_1
| horizontal_3_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl852,zip_derived_cl937]) ).
thf(zip_derived_cl76_063,plain,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf(zip_derived_cl962,plain,
( horizontal_3_1
| vertical_3_2
| ~ vertical_3_4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl948,zip_derived_cl76]) ).
thf(zip_derived_cl878_064,plain,
( vertical_3_4
| horizontal_3_1
| vertical_3_2 ),
inference(clc,[status(thm)],[zip_derived_cl877,zip_derived_cl844]) ).
thf(zip_derived_cl968,plain,
( vertical_3_2
| horizontal_3_1 ),
inference(clc,[status(thm)],[zip_derived_cl962,zip_derived_cl878]) ).
thf(zip_derived_cl66_065,plain,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl1103_066,plain,
vertical_2_2,
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl1102]) ).
thf(zip_derived_cl1108,plain,
~ horizontal_3_1,
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl1103]) ).
thf(zip_derived_cl1115,plain,
vertical_3_2,
inference(demod,[status(thm)],[zip_derived_cl968,zip_derived_cl1108]) ).
thf(zip_derived_cl1121,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1107,zip_derived_cl1115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PUZ016-2.005 : TPTP v9.2.0. Released v1.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NeeY662Woa true
% 0.13/0.35 % Computer : n028.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 : Wed Oct 1 15:10:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81 % Solved by fo/fo6_bce.sh.
% 0.57/0.81 % BCE start: 117
% 0.57/0.81 % BCE eliminated: 2
% 0.57/0.81 % PE start: 115
% 0.57/0.81 logic: neq
% 0.57/0.81 % PE eliminated: 56
% 0.57/0.81 % done 169 iterations in 0.056s
% 0.57/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.81 % SZS output start Refutation
% See solution above
% 0.57/0.81
% 0.57/0.81
% 0.57/0.81 % Terminating...
% 0.57/0.85 % Runner terminated.
% 1.63/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------