TSTP Solution File: PUZ016-2.005 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PUZ016-2.005 : TPTP v3.4.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:11:04 EDT 2009

% Result   : Unsatisfiable 15.7s
% Output   : Refutation 15.7s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   74
%            Number of leaves      :   89
% Syntax   : Number of formulae    :  755 (  26 unt;   0 def)
%            Number of atoms       : 2369 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives : 2483 ( 869   ~;1614   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   39 (  38 usr;  39 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(unique_cover5_4_3,plain,
    ( ~ vertical_4_3
    | ~ vertical_3_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151950272,plain,
    ( ~ vertical_4_3
    | ~ vertical_3_3 ),
    inference(rewrite,[status(thm)],[unique_cover5_4_3]),
    [] ).

fof(unique_cover4_2_3,plain,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151519520,plain,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    inference(rewrite,[status(thm)],[unique_cover4_2_3]),
    [] ).

fof(unique_cover3_2_1,plain,
    ( ~ horizontal_2_1
    | ~ vertical_1_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151445736,plain,
    ( ~ horizontal_2_1
    | ~ vertical_1_1 ),
    inference(rewrite,[status(thm)],[unique_cover3_2_1]),
    [] ).

fof(covered_1_1,plain,
    ( horizontal_1_1
    | vertical_1_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151055264,plain,
    ( horizontal_1_1
    | vertical_1_1 ),
    inference(rewrite,[status(thm)],[covered_1_1]),
    [] ).

fof(uncovered3_1_2,plain,
    ~ horizontal_1_1,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151097824,plain,
    ~ horizontal_1_1,
    inference(rewrite,[status(thm)],[uncovered3_1_2]),
    [] ).

cnf(450660560,plain,
    vertical_1_1,
    inference(resolution,[status(thm)],[151055264,151097824]),
    [] ).

cnf(450670744,plain,
    ~ horizontal_2_1,
    inference(resolution,[status(thm)],[151445736,450660560]),
    [] ).

fof(covered_2_2,plain,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1
    | vertical_1_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151054752,plain,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1
    | vertical_1_2 ),
    inference(rewrite,[status(thm)],[covered_2_2]),
    [] ).

fof(uncovered2_1_2,plain,
    ~ vertical_1_2,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151076400,plain,
    ~ vertical_1_2,
    inference(rewrite,[status(thm)],[uncovered2_1_2]),
    [] ).

cnf(155013568,plain,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1 ),
    inference(resolution,[status(thm)],[151054752,151076400]),
    [] ).

cnf(450737552,plain,
    ( horizontal_2_2
    | vertical_2_2 ),
    inference(resolution,[status(thm)],[450670744,155013568]),
    [] ).

cnf(450891048,plain,
    ( ~ vertical_2_3
    | vertical_2_2 ),
    inference(resolution,[status(thm)],[151519520,450737552]),
    [] ).

fof(covered_3_3,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151246784,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(rewrite,[status(thm)],[covered_3_3]),
    [] ).

cnf(450917712,plain,
    ( vertical_2_2
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(resolution,[status(thm)],[450891048,151246784]),
    [] ).

fof(unique_cover1_3_2,plain,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151642128,plain,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    inference(rewrite,[status(thm)],[unique_cover1_3_2]),
    [] ).

cnf(454561384,plain,
    ( vertical_2_2
    | horizontal_3_3
    | vertical_3_3
    | ~ vertical_3_2 ),
    inference(resolution,[status(thm)],[450917712,151642128]),
    [] ).

fof(unique_cover3_4_1,plain,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151845320,plain,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    inference(rewrite,[status(thm)],[unique_cover3_4_1]),
    [] ).

fof(covered_3_1,plain,
    ( horizontal_3_1
    | vertical_3_1
    | vertical_2_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151219224,plain,
    ( horizontal_3_1
    | vertical_3_1
    | vertical_2_1 ),
    inference(rewrite,[status(thm)],[covered_3_1]),
    [] ).

fof(unique_cover5_2_1,plain,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151457640,plain,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    inference(rewrite,[status(thm)],[unique_cover5_2_1]),
    [] ).

cnf(450676736,plain,
    ~ vertical_2_1,
    inference(resolution,[status(thm)],[151457640,450660560]),
    [] ).

cnf(450686776,plain,
    ( horizontal_3_1
    | vertical_3_1 ),
    inference(resolution,[status(thm)],[151219224,450676736]),
    [] ).

cnf(452094224,plain,
    ( ~ horizontal_4_1
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[151845320,450686776]),
    [] ).

fof(covered_4_2,plain,
    ( horizontal_4_2
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151302312,plain,
    ( horizontal_4_2
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference(rewrite,[status(thm)],[covered_4_2]),
    [] ).

cnf(452178432,plain,
    ( horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[452094224,151302312]),
    [] ).

fof(unique_cover6_5_2,plain,
    ( ~ horizontal_5_1
    | ~ vertical_4_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152073584,plain,
    ( ~ horizontal_5_1
    | ~ vertical_4_2 ),
    inference(rewrite,[status(thm)],[unique_cover6_5_2]),
    [] ).

fof(unique_cover5_4_1,plain,
    ( ~ vertical_4_1
    | ~ vertical_3_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151852784,plain,
    ( ~ vertical_4_1
    | ~ vertical_3_1 ),
    inference(rewrite,[status(thm)],[unique_cover5_4_1]),
    [] ).

fof(covered_5_1,plain,
    ( horizontal_5_1
    | vertical_4_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151359768,plain,
    ( horizontal_5_1
    | vertical_4_1 ),
    inference(rewrite,[status(thm)],[covered_5_1]),
    [] ).

cnf(452205248,plain,
    ( ~ vertical_3_1
    | horizontal_5_1 ),
    inference(resolution,[status(thm)],[151852784,151359768]),
    [] ).

cnf(452284640,plain,
    ( horizontal_5_1
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[452205248,450686776]),
    [] ).

cnf(453435904,plain,
    ( ~ vertical_4_2
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[152073584,452284640]),
    [] ).

cnf(458012280,plain,
    ( horizontal_3_1
    | horizontal_4_2
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[452178432,453435904]),
    [] ).

cnf(478559032,plain,
    ( vertical_2_2
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[454561384,458012280]),
    [] ).

fof(unique_cover5_3_2,plain,
    ( ~ vertical_3_2
    | ~ vertical_2_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151676840,plain,
    ( ~ vertical_3_2
    | ~ vertical_2_2 ),
    inference(rewrite,[status(thm)],[unique_cover5_3_2]),
    [] ).

cnf(451460184,plain,
    ( ~ vertical_3_2
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[151676840,450737552]),
    [] ).

cnf(451508008,plain,
    ( horizontal_2_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_1 ),
    inference(resolution,[status(thm)],[451460184,151302312]),
    [] ).

fof(unique_cover6_3_2,plain,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151687072,plain,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    inference(rewrite,[status(thm)],[unique_cover6_3_2]),
    [] ).

cnf(451518568,plain,
    ( ~ vertical_2_2
    | vertical_3_1 ),
    inference(resolution,[status(thm)],[151687072,450686776]),
    [] ).

cnf(451560104,plain,
    ( vertical_3_1
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[451518568,450737552]),
    [] ).

cnf(452109768,plain,
    ( ~ horizontal_4_1
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[151845320,451560104]),
    [] ).

cnf(455954120,plain,
    ( horizontal_2_2
    | horizontal_4_2
    | vertical_4_2 ),
    inference(resolution,[status(thm)],[451508008,452109768]),
    [] ).

cnf(452291840,plain,
    ( horizontal_5_1
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[452205248,451560104]),
    [] ).

cnf(453442448,plain,
    ( ~ vertical_4_2
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[152073584,452291840]),
    [] ).

cnf(456009016,plain,
    ( horizontal_2_2
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[455954120,453442448]),
    [] ).

fof(unique_cover1_2_2,plain,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151053392,plain,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    inference(rewrite,[status(thm)],[unique_cover1_2_2]),
    [] ).

cnf(456080656,plain,
    ( horizontal_4_2
    | ~ vertical_2_2 ),
    inference(resolution,[status(thm)],[456009016,151053392]),
    [] ).

cnf(478617784,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[478559032,456080656]),
    [] ).

fof(unique_cover2_3_2,plain,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151652904,plain,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    inference(rewrite,[status(thm)],[unique_cover2_3_2]),
    [] ).

cnf(454568176,plain,
    ( vertical_2_2
    | horizontal_3_3
    | vertical_3_3
    | ~ horizontal_3_1 ),
    inference(resolution,[status(thm)],[450917712,151652904]),
    [] ).

cnf(480304696,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[478617784,454568176,456080656]),
    [] ).

cnf(451577696,plain,
    ( vertical_3_1
    | ~ vertical_2_3 ),
    inference(resolution,[status(thm)],[451518568,450891048]),
    [] ).

fof(unique_cover4_4_3,plain,
    ( ~ vertical_4_3
    | ~ horizontal_4_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151944480,plain,
    ( ~ vertical_4_3
    | ~ horizontal_4_2 ),
    inference(rewrite,[status(thm)],[unique_cover4_4_3]),
    [] ).

cnf(456118136,plain,
    ( horizontal_2_2
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[456009016,151944480]),
    [] ).

fof(unique_cover2_5_2,plain,
    ( ~ horizontal_5_2
    | ~ horizontal_5_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152053216,plain,
    ( ~ horizontal_5_2
    | ~ horizontal_5_1 ),
    inference(rewrite,[status(thm)],[unique_cover2_5_2]),
    [] ).

cnf(453092776,plain,
    ( ~ horizontal_5_2
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[152053216,452291840]),
    [] ).

fof(covered_5_3,plain,
    ( horizontal_5_3
    | horizontal_5_2
    | vertical_4_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151387584,plain,
    ( horizontal_5_3
    | horizontal_5_2
    | vertical_4_3 ),
    inference(rewrite,[status(thm)],[covered_5_3]),
    [] ).

cnf(453218632,plain,
    ( horizontal_2_2
    | horizontal_5_3
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[453092776,151387584]),
    [] ).

cnf(456369568,plain,
    ( horizontal_2_2
    | horizontal_5_3 ),
    inference(resolution,[status(thm)],[456118136,453218632]),
    [] ).

fof(unique_cover6_5_4,plain,
    ( ~ horizontal_5_3
    | ~ vertical_4_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152124360,plain,
    ( ~ horizontal_5_3
    | ~ vertical_4_4 ),
    inference(rewrite,[status(thm)],[unique_cover6_5_4]),
    [] ).

cnf(456456624,plain,
    ( horizontal_2_2
    | ~ vertical_4_4 ),
    inference(resolution,[status(thm)],[456369568,152124360]),
    [] ).

fof(covered_4_4,plain,
    ( horizontal_4_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151337696,plain,
    ( horizontal_4_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(rewrite,[status(thm)],[covered_4_4]),
    [] ).

cnf(456768928,plain,
    ( horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[456456624,151337696]),
    [] ).

fof(unique_cover2_5_4,plain,
    ( ~ horizontal_5_4
    | ~ horizontal_5_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152108784,plain,
    ( ~ horizontal_5_4
    | ~ horizontal_5_3 ),
    inference(rewrite,[status(thm)],[unique_cover2_5_4]),
    [] ).

fof(covered_5_5,plain,
    ( horizontal_5_4
    | vertical_4_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151407784,plain,
    ( horizontal_5_4
    | vertical_4_5 ),
    inference(rewrite,[status(thm)],[covered_5_5]),
    [] ).

cnf(453636416,plain,
    ( ~ horizontal_5_3
    | vertical_4_5 ),
    inference(resolution,[status(thm)],[152108784,151407784]),
    [] ).

cnf(453764616,plain,
    ( vertical_4_5
    | horizontal_2_2
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[453636416,453218632]),
    [] ).

cnf(456404440,plain,
    ( horizontal_2_2
    | vertical_4_5 ),
    inference(resolution,[status(thm)],[456118136,453764616]),
    [] ).

fof(unique_cover5_4_5,plain,
    ( ~ vertical_4_5
    | ~ vertical_3_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152029176,plain,
    ( ~ vertical_4_5
    | ~ vertical_3_5 ),
    inference(rewrite,[status(thm)],[unique_cover5_4_5]),
    [] ).

cnf(456502216,plain,
    ( horizontal_2_2
    | ~ vertical_3_5 ),
    inference(resolution,[status(thm)],[456404440,152029176]),
    [] ).

fof(unique_cover5_2_5,plain,
    ( ~ vertical_2_5
    | ~ vertical_1_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151594352,plain,
    ( ~ vertical_2_5
    | ~ vertical_1_5 ),
    inference(rewrite,[status(thm)],[unique_cover5_2_5]),
    [] ).

fof(covered_1_5,plain,
    ( vertical_1_5
    | horizontal_1_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151132888,plain,
    ( vertical_1_5
    | horizontal_1_4 ),
    inference(rewrite,[status(thm)],[covered_1_5]),
    [] ).

cnf(451212616,plain,
    ( ~ vertical_2_5
    | horizontal_1_4 ),
    inference(resolution,[status(thm)],[151594352,151132888]),
    [] ).

fof(covered_3_5,plain,
    ( vertical_3_5
    | horizontal_3_4
    | vertical_2_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151054032,plain,
    ( vertical_3_5
    | horizontal_3_4
    | vertical_2_5 ),
    inference(rewrite,[status(thm)],[covered_3_5]),
    [] ).

cnf(451251968,plain,
    ( horizontal_1_4
    | vertical_3_5
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[451212616,151054032]),
    [] ).

fof(unique_cover1_1_4,plain,
    ( ~ horizontal_1_4
    | ~ vertical_1_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151419976,plain,
    ( ~ horizontal_1_4
    | ~ vertical_1_4 ),
    inference(rewrite,[status(thm)],[unique_cover1_1_4]),
    [] ).

cnf(451261800,plain,
    ( vertical_3_5
    | horizontal_3_4
    | ~ vertical_1_4 ),
    inference(resolution,[status(thm)],[451251968,151419976]),
    [] ).

cnf(456949104,plain,
    ( horizontal_2_2
    | horizontal_3_4
    | ~ vertical_1_4 ),
    inference(resolution,[status(thm)],[456502216,451261800]),
    [] ).

fof(unique_cover1_3_4,plain,
    ( ~ horizontal_3_4
    | ~ vertical_3_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151751416,plain,
    ( ~ horizontal_3_4
    | ~ vertical_3_4 ),
    inference(rewrite,[status(thm)],[unique_cover1_3_4]),
    [] ).

cnf(508955912,plain,
    ( horizontal_2_2
    | ~ vertical_1_4
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[456949104,151751416]),
    [] ).

cnf(509110440,plain,
    ( horizontal_2_2
    | ~ vertical_1_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_3 ),
    inference(resolution,[status(thm)],[508955912,151337696]),
    [] ).

fof(unique_cover5_4_4,plain,
    ( ~ vertical_4_4
    | ~ vertical_3_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152005232,plain,
    ( ~ vertical_4_4
    | ~ vertical_3_4 ),
    inference(rewrite,[status(thm)],[unique_cover5_4_4]),
    [] ).

cnf(511558624,plain,
    ( horizontal_2_2
    | ~ vertical_1_4
    | horizontal_4_4
    | horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[456768928,509110440,152005232]),
    [] ).

fof(unique_cover2_4_3,plain,
    ( ~ horizontal_4_3
    | ~ horizontal_4_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151926912,plain,
    ( ~ horizontal_4_3
    | ~ horizontal_4_2 ),
    inference(rewrite,[status(thm)],[unique_cover2_4_3]),
    [] ).

cnf(456111680,plain,
    ( horizontal_2_2
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[456009016,151926912]),
    [] ).

cnf(511536944,plain,
    ( horizontal_2_2
    | ~ vertical_1_4
    | horizontal_4_4
    | vertical_4_4 ),
    inference(resolution,[status(thm)],[509110440,456111680]),
    [] ).

fof(unique_cover4_4_4,plain,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151995384,plain,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    inference(rewrite,[status(thm)],[unique_cover4_4_4]),
    [] ).

cnf(511646128,plain,
    ( horizontal_2_2
    | ~ vertical_1_4
    | horizontal_4_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[511558624,511536944,151995384]),
    [] ).

fof(unique_cover4_4_5,plain,
    ( ~ vertical_4_5
    | ~ horizontal_4_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152022768,plain,
    ( ~ vertical_4_5
    | ~ horizontal_4_4 ),
    inference(rewrite,[status(thm)],[unique_cover4_4_5]),
    [] ).

cnf(456491608,plain,
    ( horizontal_2_2
    | ~ horizontal_4_4 ),
    inference(resolution,[status(thm)],[456404440,152022768]),
    [] ).

cnf(456909192,plain,
    ( horizontal_2_2
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[456491608,151337696]),
    [] ).

fof(unique_cover3_4_4,plain,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151987856,plain,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    inference(rewrite,[status(thm)],[unique_cover3_4_4]),
    [] ).

cnf(511546720,plain,
    ( horizontal_2_2
    | ~ vertical_1_4
    | vertical_4_4
    | horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[456909192,509110440,151987856]),
    [] ).

fof(unique_cover2_4_4,plain,
    ( ~ horizontal_4_4
    | ~ horizontal_4_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151977880,plain,
    ( ~ horizontal_4_4
    | ~ horizontal_4_3 ),
    inference(rewrite,[status(thm)],[unique_cover2_4_4]),
    [] ).

cnf(511635360,plain,
    ( horizontal_2_2
    | ~ vertical_1_4
    | vertical_4_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[511546720,511536944,151977880]),
    [] ).

fof(unique_cover1_4_4,plain,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151971960,plain,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    inference(rewrite,[status(thm)],[unique_cover1_4_4]),
    [] ).

cnf(511716504,plain,
    ( horizontal_2_2
    | ~ vertical_1_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[511646128,511635360,151971960]),
    [] ).

cnf(511759680,plain,
    ( ~ vertical_1_4
    | ~ vertical_2_2 ),
    inference(resolution,[status(thm)],[511716504,151053392]),
    [] ).

fof(covered_1_4,plain,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151120288,plain,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    inference(rewrite,[status(thm)],[covered_1_4]),
    [] ).

fof(uncovered1_1_3,plain,
    ~ horizontal_1_3,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151065312,plain,
    ~ horizontal_1_3,
    inference(rewrite,[status(thm)],[uncovered1_1_3]),
    [] ).

cnf(155013408,plain,
    ( horizontal_1_4
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[151120288,151065312]),
    [] ).

cnf(511790600,plain,
    ( ~ vertical_2_2
    | horizontal_1_4 ),
    inference(resolution,[status(thm)],[511759680,155013408]),
    [] ).

fof(unique_cover4_2_5,plain,
    ( ~ vertical_2_5
    | ~ horizontal_2_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151584184,plain,
    ( ~ vertical_2_5
    | ~ horizontal_2_4 ),
    inference(rewrite,[status(thm)],[unique_cover4_2_5]),
    [] ).

cnf(451182840,plain,
    ( ~ horizontal_2_4
    | vertical_3_5
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[151584184,151054032]),
    [] ).

cnf(456930680,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[456502216,451182840]),
    [] ).

cnf(464922192,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[456930680,151751416]),
    [] ).

cnf(483856464,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_3 ),
    inference(resolution,[status(thm)],[464922192,151337696]),
    [] ).

cnf(485417024,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4
    | horizontal_4_4
    | horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[456768928,483856464,152005232]),
    [] ).

cnf(485393904,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4
    | horizontal_4_4
    | vertical_4_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[456009016,483856464,151926912]),
    [] ).

cnf(485502488,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4
    | horizontal_4_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[485417024,485393904,151995384]),
    [] ).

cnf(485404824,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4
    | vertical_4_4
    | horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[456909192,483856464,151987856]),
    [] ).

cnf(485491720,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4
    | vertical_4_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[485404824,485393904,151977880]),
    [] ).

cnf(485565560,plain,
    ( horizontal_2_2
    | ~ horizontal_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[485502488,485491720,151971960]),
    [] ).

cnf(485606048,plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_2 ),
    inference(resolution,[status(thm)],[485565560,151053392]),
    [] ).

fof(covered_2_4,plain,
    ( horizontal_2_4
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151190888,plain,
    ( horizontal_2_4
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    inference(rewrite,[status(thm)],[covered_2_4]),
    [] ).

cnf(485658768,plain,
    ( ~ vertical_2_2
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[485606048,151190888]),
    [] ).

cnf(552974944,plain,
    ( ~ vertical_2_2
    | vertical_2_4
    | horizontal_2_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[511790600,485658768,151419976]),
    [] ).

fof(unique_cover1_2_3,plain,
    ( ~ horizontal_2_3
    | ~ vertical_2_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151500680,plain,
    ( ~ horizontal_2_3
    | ~ vertical_2_3 ),
    inference(rewrite,[status(thm)],[unique_cover1_2_3]),
    [] ).

cnf(553021672,plain,
    ( vertical_2_4
    | ~ vertical_2_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[450891048,552974944,151500680]),
    [] ).

cnf(453074976,plain,
    ( ~ horizontal_5_2
    | vertical_4_1 ),
    inference(resolution,[status(thm)],[152053216,151359768]),
    [] ).

cnf(453186856,plain,
    ( vertical_4_1
    | horizontal_5_3
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[453074976,151387584]),
    [] ).

cnf(454143352,plain,
    ( ~ vertical_4_4
    | vertical_4_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[152124360,453186856]),
    [] ).

cnf(463645688,plain,
    ( horizontal_4_4
    | horizontal_4_3
    | vertical_3_4
    | vertical_4_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[151337696,454143352]),
    [] ).

cnf(452834032,plain,
    ( ~ horizontal_4_4
    | horizontal_5_4 ),
    inference(resolution,[status(thm)],[152022768,151407784]),
    [] ).

cnf(452859896,plain,
    ( horizontal_5_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[452834032,151337696]),
    [] ).

cnf(453701200,plain,
    ( ~ horizontal_5_4
    | vertical_4_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[152108784,453186856]),
    [] ).

cnf(462215512,plain,
    ( vertical_4_4
    | horizontal_4_3
    | vertical_3_4
    | vertical_4_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[452859896,453701200]),
    [] ).

cnf(564511584,plain,
    ( horizontal_4_3
    | vertical_3_4
    | vertical_4_1
    | vertical_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[463645688,462215512,151971960]),
    [] ).

cnf(564673344,plain,
    ( vertical_3_4
    | vertical_4_1
    | vertical_4_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[564511584,151926912]),
    [] ).

cnf(456098640,plain,
    ( horizontal_4_2
    | ~ vertical_2_3 ),
    inference(resolution,[status(thm)],[456009016,151519520]),
    [] ).

cnf(565310200,plain,
    ( vertical_3_4
    | vertical_4_1
    | vertical_4_3
    | ~ vertical_2_3 ),
    inference(resolution,[status(thm)],[564673344,456098640]),
    [] ).

fof(unique_cover5_3_4,plain,
    ( ~ vertical_3_4
    | ~ vertical_2_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151785600,plain,
    ( ~ vertical_3_4
    | ~ vertical_2_4 ),
    inference(rewrite,[status(thm)],[unique_cover5_3_4]),
    [] ).

cnf(566119600,plain,
    ( vertical_4_1
    | vertical_4_3
    | ~ vertical_2_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[553021672,565310200,151785600]),
    [] ).

cnf(566162944,plain,
    ( vertical_4_3
    | ~ vertical_2_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451577696,566119600,151852784]),
    [] ).

cnf(566178464,plain,
    ( vertical_4_3
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(resolution,[status(thm)],[566162944,151246784]),
    [] ).

fof(unique_cover2_3_3,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151705568,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    inference(rewrite,[status(thm)],[unique_cover2_3_3]),
    [] ).

fof(covered_3_4,plain,
    ( horizontal_3_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151262560,plain,
    ( horizontal_3_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(rewrite,[status(thm)],[covered_3_4]),
    [] ).

cnf(451668120,plain,
    ( ~ horizontal_3_2
    | horizontal_3_4
    | vertical_3_4
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[151705568,151262560]),
    [] ).

fof(unique_cover6_3_5,plain,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151823600,plain,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    inference(rewrite,[status(thm)],[unique_cover6_3_5]),
    [] ).

fof(unique_cover4_1_5,plain,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151428056,plain,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    inference(rewrite,[status(thm)],[unique_cover4_1_5]),
    [] ).

cnf(450759728,plain,
    ( ~ vertical_1_5
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[151428056,155013408]),
    [] ).

fof(covered_2_5,plain,
    ( vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151205088,plain,
    ( vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    inference(rewrite,[status(thm)],[covered_2_5]),
    [] ).

cnf(450783616,plain,
    ( vertical_1_4
    | vertical_2_5
    | horizontal_2_4 ),
    inference(resolution,[status(thm)],[450759728,151205088]),
    [] ).

cnf(452035744,plain,
    ( ~ horizontal_3_4
    | vertical_1_4
    | horizontal_2_4 ),
    inference(resolution,[status(thm)],[151823600,450783616]),
    [] ).

cnf(457847272,plain,
    ( vertical_1_4
    | horizontal_2_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[452035744,151262560]),
    [] ).

fof(unique_cover2_2_3,plain,
    ( ~ horizontal_2_3
    | ~ horizontal_2_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151507464,plain,
    ( ~ horizontal_2_3
    | ~ horizontal_2_2 ),
    inference(rewrite,[status(thm)],[unique_cover2_2_3]),
    [] ).

cnf(450850960,plain,
    ( ~ horizontal_2_3
    | vertical_2_2 ),
    inference(resolution,[status(thm)],[151507464,450737552]),
    [] ).

cnf(450879328,plain,
    ( vertical_2_2
    | horizontal_2_4
    | vertical_2_4
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[450850960,151190888]),
    [] ).

cnf(450839512,plain,
    ( ~ horizontal_2_3
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(resolution,[status(thm)],[151500680,151246784]),
    [] ).

cnf(463736824,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | horizontal_2_4
    | vertical_2_4
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[450839512,151190888]),
    [] ).

fof(unique_cover3_3_2,plain,
    ( ~ horizontal_3_2
    | ~ vertical_2_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151659016,plain,
    ( ~ horizontal_3_2
    | ~ vertical_2_2 ),
    inference(rewrite,[status(thm)],[unique_cover3_3_2]),
    [] ).

cnf(463821544,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_2_4
    | vertical_2_4
    | vertical_1_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[450879328,463736824,151659016]),
    [] ).

cnf(450866064,plain,
    ( ~ horizontal_2_2
    | horizontal_2_4
    | vertical_2_4
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[151507464,151190888]),
    [] ).

fof(unique_cover6_4_3,plain,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151960312,plain,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    inference(rewrite,[status(thm)],[unique_cover6_4_3]),
    [] ).

cnf(456128680,plain,
    ( horizontal_2_2
    | ~ vertical_3_3 ),
    inference(resolution,[status(thm)],[456009016,151960312]),
    [] ).

cnf(464755480,plain,
    ( horizontal_2_4
    | vertical_2_4
    | vertical_1_4
    | ~ vertical_3_3 ),
    inference(resolution,[status(thm)],[450866064,456128680]),
    [] ).

cnf(465432168,plain,
    ( horizontal_2_4
    | vertical_1_4
    | ~ vertical_3_3
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[464755480,151785600]),
    [] ).

cnf(465815208,plain,
    ( horizontal_2_4
    | vertical_1_4
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[463821544,465432168,151262560]),
    [] ).

cnf(465863904,plain,
    ( horizontal_2_4
    | vertical_1_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[457847272,465815208,151751416]),
    [] ).

cnf(465909816,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | vertical_2_4
    | ~ horizontal_1_4 ),
    inference(resolution,[status(thm)],[465863904,151419976]),
    [] ).

cnf(474795432,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | vertical_2_4
    | vertical_3_5
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[465909816,451251968]),
    [] ).

cnf(455259424,plain,
    ( ~ horizontal_2_4
    | vertical_3_5
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[451182840,151751416]),
    [] ).

cnf(483545296,plain,
    ( vertical_3_5
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[474795432,455259424,151262560]),
    [] ).

fof(unique_cover1_2_4,plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151531456,plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    inference(rewrite,[status(thm)],[unique_cover1_2_4]),
    [] ).

cnf(450954592,plain,
    ( ~ horizontal_2_4
    | horizontal_3_4
    | vertical_3_4
    | horizontal_3_3 ),
    inference(resolution,[status(thm)],[151531456,151262560]),
    [] ).

cnf(452871040,plain,
    ( ~ vertical_3_5
    | horizontal_5_4 ),
    inference(resolution,[status(thm)],[152029176,151407784]),
    [] ).

cnf(452904744,plain,
    ( horizontal_5_4
    | horizontal_3_4
    | vertical_2_5 ),
    inference(resolution,[status(thm)],[452871040,151054032]),
    [] ).

cnf(452926376,plain,
    ( horizontal_5_4
    | horizontal_3_4
    | ~ horizontal_2_4 ),
    inference(resolution,[status(thm)],[452904744,151584184]),
    [] ).

fof(unique_cover3_5_4,plain,
    ( ~ horizontal_5_4
    | ~ vertical_4_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152114544,plain,
    ( ~ horizontal_5_4
    | ~ vertical_4_4 ),
    inference(rewrite,[status(thm)],[unique_cover3_5_4]),
    [] ).

cnf(459183216,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | ~ vertical_4_4 ),
    inference(resolution,[status(thm)],[452926376,152114544]),
    [] ).

cnf(483798264,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[459183216,151337696]),
    [] ).

fof(unique_cover6_4_5,plain,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152039024,plain,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    inference(rewrite,[status(thm)],[unique_cover6_4_5]),
    [] ).

cnf(455291232,plain,
    ( ~ horizontal_2_4
    | horizontal_3_4
    | ~ horizontal_4_4 ),
    inference(resolution,[status(thm)],[451182840,152039024]),
    [] ).

cnf(485239728,plain,
    ( ~ horizontal_2_4
    | horizontal_3_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[455291232,151337696]),
    [] ).

cnf(488226560,plain,
    ( ~ horizontal_2_4
    | horizontal_3_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[483798264,485239728,151971960]),
    [] ).

fof(unique_cover4_3_4,plain,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151779680,plain,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    inference(rewrite,[status(thm)],[unique_cover4_3_4]),
    [] ).

cnf(488295352,plain,
    ( ~ horizontal_2_4
    | horizontal_3_4
    | horizontal_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[488226560,151779680]),
    [] ).

fof(unique_cover2_3_4,plain,
    ( ~ horizontal_3_4
    | ~ horizontal_3_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151761584,plain,
    ( ~ horizontal_3_4
    | ~ horizontal_3_3 ),
    inference(rewrite,[status(thm)],[unique_cover2_3_4]),
    [] ).

cnf(488283928,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_4
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[488226560,151761584]),
    [] ).

cnf(490174360,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[488295352,488283928,151751416]),
    [] ).

cnf(453081528,plain,
    ( ~ horizontal_5_2
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[152053216,452284640]),
    [] ).

cnf(453200032,plain,
    ( horizontal_3_1
    | horizontal_5_3
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[453081528,151387584]),
    [] ).

cnf(453709448,plain,
    ( ~ horizontal_5_4
    | horizontal_3_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[152108784,453200032]),
    [] ).

cnf(462781104,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | horizontal_3_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[452926376,453709448]),
    [] ).

cnf(496168232,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | vertical_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[462781104,151761584]),
    [] ).

fof(unique_cover1_4_3,plain,
    ( ~ horizontal_4_3
    | ~ vertical_4_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151916296,plain,
    ( ~ horizontal_4_3
    | ~ vertical_4_3 ),
    inference(rewrite,[status(thm)],[unique_cover1_4_3]),
    [] ).

cnf(496713928,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[490174360,496168232,151916296]),
    [] ).

cnf(496783608,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | horizontal_3_4
    | vertical_3_4
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[496713928,151262560]),
    [] ).

fof(unique_cover6_3_4,plain,
    ( ~ horizontal_3_3
    | ~ vertical_2_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151795768,plain,
    ( ~ horizontal_3_3
    | ~ vertical_2_4 ),
    inference(rewrite,[status(thm)],[unique_cover6_3_4]),
    [] ).

cnf(498444440,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | horizontal_3_4
    | vertical_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[450954592,496783608,151795768]),
    [] ).

cnf(451332880,plain,
    ( ~ horizontal_3_2
    | vertical_3_1 ),
    inference(resolution,[status(thm)],[151652904,450686776]),
    [] ).

cnf(451361064,plain,
    ( vertical_3_1
    | horizontal_3_3
    | vertical_3_3
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[451332880,151246784]),
    [] ).

cnf(455520680,plain,
    ( vertical_3_1
    | horizontal_3_3
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[451361064,451577696]),
    [] ).

cnf(490228944,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_1
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[490174360,455520680]),
    [] ).

cnf(490391416,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_1
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[490228944,151960312]),
    [] ).

cnf(490373240,plain,
    ( ~ horizontal_2_4
    | vertical_3_1
    | vertical_3_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[490228944,151926912]),
    [] ).

fof(unique_cover3_4_3,plain,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151932832,plain,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    inference(rewrite,[status(thm)],[unique_cover3_4_3]),
    [] ).

cnf(492762888,plain,
    ( ~ horizontal_2_4
    | vertical_3_1
    | ~ horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[490391416,490373240,151932832]),
    [] ).

fof(unique_cover1_3_1,plain,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151612304,plain,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    inference(rewrite,[status(thm)],[unique_cover1_3_1]),
    [] ).

cnf(496130576,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | vertical_4_3
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[462781104,151612304]),
    [] ).

cnf(496273840,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | ~ horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[492762888,496130576,151944480]),
    [] ).

cnf(496430416,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | horizontal_3_1
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[496273840,458012280]),
    [] ).

cnf(496512080,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | vertical_3_2
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[496430416,151751416]),
    [] ).

fof(unique_cover4_3_2,plain,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151670856,plain,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    inference(rewrite,[status(thm)],[unique_cover4_3_2]),
    [] ).

cnf(496148272,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | vertical_4_3
    | ~ vertical_3_2 ),
    inference(resolution,[status(thm)],[462781104,151670856]),
    [] ).

cnf(496592296,plain,
    ( ~ horizontal_2_4
    | vertical_4_3
    | ~ vertical_3_2
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[496148272,151751416]),
    [] ).

cnf(485617352,plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_3 ),
    inference(resolution,[status(thm)],[485565560,151519520]),
    [] ).

cnf(485720288,plain,
    ( ~ horizontal_2_4
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(resolution,[status(thm)],[485617352,151246784]),
    [] ).

cnf(485904848,plain,
    ( ~ horizontal_2_4
    | vertical_3_3
    | horizontal_3_2
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[485720288,151779680]),
    [] ).

cnf(488858864,plain,
    ( ~ horizontal_2_4
    | horizontal_3_2
    | ~ vertical_3_4
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[485904848,151950272]),
    [] ).

cnf(504548040,plain,
    ( ~ horizontal_2_4
    | ~ vertical_3_4
    | ~ vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[496592296,488858864,151642128]),
    [] ).

cnf(504645184,plain,
    ( ~ horizontal_2_4
    | ~ vertical_3_4
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[504548040,458012280]),
    [] ).

fof(unique_cover3_4_2,plain,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151881128,plain,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    inference(rewrite,[status(thm)],[unique_cover3_4_2]),
    [] ).

cnf(504739200,plain,
    ( ~ horizontal_2_4
    | ~ vertical_3_4
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[496512080,504645184,151881128]),
    [] ).

cnf(504785320,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[504739200,151262560]),
    [] ).

cnf(504877896,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | horizontal_3_4
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[496783608,504785320,151779680]),
    [] ).

cnf(504979760,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[498444440,504877896,151785600]),
    [] ).

cnf(505022712,plain,
    ( ~ horizontal_2_4
    | horizontal_3_4
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[504979760,151612304]),
    [] ).

cnf(505092288,plain,
    ( horizontal_3_4
    | ~ vertical_3_1
    | vertical_1_4
    | vertical_2_5 ),
    inference(resolution,[status(thm)],[505022712,450783616]),
    [] ).

cnf(452914304,plain,
    ( horizontal_5_4
    | horizontal_1_4
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[452871040,451251968]),
    [] ).

cnf(452979024,plain,
    ( horizontal_5_4
    | horizontal_3_4
    | ~ vertical_1_4 ),
    inference(resolution,[status(thm)],[452914304,151419976]),
    [] ).

cnf(459492200,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | ~ vertical_4_4 ),
    inference(resolution,[status(thm)],[452979024,152114544]),
    [] ).

cnf(510592648,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[459492200,151337696]),
    [] ).

cnf(455452688,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | ~ horizontal_4_4 ),
    inference(resolution,[status(thm)],[451261800,152039024]),
    [] ).

cnf(520482232,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[455452688,151337696]),
    [] ).

cnf(520715720,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[510592648,520482232,151971960]),
    [] ).

cnf(520811480,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | vertical_3_4
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[520715720,151926912]),
    [] ).

fof(unique_cover5_2_4,plain,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151566008,plain,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    inference(rewrite,[status(thm)],[unique_cover5_2_4]),
    [] ).

cnf(451071584,plain,
    ( ~ vertical_1_4
    | horizontal_3_4
    | vertical_3_4
    | horizontal_3_3 ),
    inference(resolution,[status(thm)],[151566008,151262560]),
    [] ).

cnf(520780352,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | horizontal_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[520715720,151779680]),
    [] ).

cnf(520773032,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | vertical_3_4
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[520715720,151761584]),
    [] ).

cnf(520973392,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[520780352,520773032,151751416]),
    [] ).

cnf(521080544,plain,
    ( ~ vertical_1_4
    | ~ horizontal_3_3
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[520973392,151916296]),
    [] ).

fof(covered_4_3,plain,
    ( horizontal_4_3
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151322048,plain,
    ( horizontal_4_3
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference(rewrite,[status(thm)],[covered_4_3]),
    [] ).

cnf(522093808,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[480304696,521080544,151322048]),
    [] ).

cnf(521033088,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | vertical_3_1
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[520973392,455520680]),
    [] ).

cnf(521197280,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | vertical_3_1
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[521033088,151960312]),
    [] ).

cnf(521179272,plain,
    ( ~ vertical_1_4
    | vertical_3_1
    | vertical_3_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[521033088,151926912]),
    [] ).

cnf(523012768,plain,
    ( ~ vertical_1_4
    | vertical_3_1
    | ~ horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[521197280,521179272,151932832]),
    [] ).

cnf(453331344,plain,
    ( horizontal_3_1
    | horizontal_5_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[453200032,151944480]),
    [] ).

cnf(460496152,plain,
    ( horizontal_3_1
    | horizontal_5_3
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[453331344,458012280]),
    [] ).

cnf(460539088,plain,
    ( horizontal_3_1
    | vertical_3_2
    | vertical_4_5 ),
    inference(resolution,[status(thm)],[460496152,453636416]),
    [] ).

cnf(455446048,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | ~ vertical_4_5 ),
    inference(resolution,[status(thm)],[451261800,152029176]),
    [] ).

cnf(455419248,plain,
    ( vertical_3_5
    | ~ vertical_1_4
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[451261800,151751416]),
    [] ).

cnf(474660808,plain,
    ( vertical_3_5
    | ~ vertical_1_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_3 ),
    inference(resolution,[status(thm)],[455419248,151337696]),
    [] ).

cnf(510849568,plain,
    ( vertical_3_5
    | ~ vertical_1_4
    | vertical_4_4
    | horizontal_4_3
    | ~ vertical_4_5 ),
    inference(resolution,[status(thm)],[474660808,152022768]),
    [] ).

fof(unique_cover4_3_5,plain,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151807544,plain,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    inference(rewrite,[status(thm)],[unique_cover4_3_5]),
    [] ).

cnf(517655560,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | horizontal_4_3
    | ~ vertical_4_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[455446048,510849568,151807544]),
    [] ).

cnf(517725672,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | ~ vertical_4_5
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[517655560,151926912]),
    [] ).

cnf(529481704,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | horizontal_3_1
    | vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[460539088,517725672,458012280]),
    [] ).

cnf(529543008,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | vertical_3_2
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[529481704,151612304]),
    [] ).

cnf(529684064,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | ~ horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[523012768,529543008,151881128]),
    [] ).

cnf(529871768,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_4_3
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[529684064,151322048]),
    [] ).

cnf(530789328,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[522093808,529871768,151944480]),
    [] ).

cnf(530907320,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | vertical_3_3
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[530789328,152005232]),
    [] ).

cnf(511766096,plain,
    ( ~ vertical_1_4
    | ~ vertical_2_3 ),
    inference(resolution,[status(thm)],[511716504,151519520]),
    [] ).

cnf(511876888,plain,
    ( ~ vertical_1_4
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(resolution,[status(thm)],[511766096,151246784]),
    [] ).

cnf(529651008,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | vertical_3_2
    | horizontal_3_3
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[529543008,455520680]),
    [] ).

cnf(530295464,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | horizontal_3_3
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[511876888,529651008,151642128]),
    [] ).

cnf(530420688,plain,
    ( ~ vertical_1_4
    | vertical_4_4
    | vertical_3_3
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[530295464,151779680]),
    [] ).

cnf(531615936,plain,
    ( ~ vertical_1_4
    | vertical_3_3
    | ~ vertical_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[530907320,530420688,151995384]),
    [] ).

cnf(531664944,plain,
    ( ~ vertical_1_4
    | vertical_3_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[531615936,151262560]),
    [] ).

cnf(532144056,plain,
    ( ~ vertical_1_4
    | vertical_3_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451071584,531664944,151785600]),
    [] ).

cnf(532197848,plain,
    ( ~ vertical_1_4
    | horizontal_3_4
    | horizontal_3_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[532144056,151960312]),
    [] ).

cnf(532384328,plain,
    ( ~ vertical_1_4
    | horizontal_3_4
    | ~ horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[520811480,532197848,151779680]),
    [] ).

cnf(532447824,plain,
    ( ~ vertical_1_4
    | horizontal_3_4
    | horizontal_3_1
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[532384328,458012280]),
    [] ).

cnf(451422192,plain,
    ( ~ vertical_3_2
    | vertical_3_1 ),
    inference(resolution,[status(thm)],[151670856,450686776]),
    [] ).

cnf(521064912,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[520973392,151246784]),
    [] ).

cnf(521871296,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[511716504,521064912,151519520]),
    [] ).

cnf(452315232,plain,
    ( horizontal_5_1
    | ~ vertical_3_2 ),
    inference(resolution,[status(thm)],[452205248,451422192]),
    [] ).

cnf(453142856,plain,
    ( ~ horizontal_5_2
    | ~ vertical_3_2 ),
    inference(resolution,[status(thm)],[152053216,452315232]),
    [] ).

cnf(453731088,plain,
    ( vertical_4_5
    | horizontal_5_2
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[453636416,151387584]),
    [] ).

cnf(453775392,plain,
    ( vertical_4_5
    | horizontal_5_2
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[453731088,151916296]),
    [] ).

cnf(462365440,plain,
    ( ~ vertical_3_2
    | vertical_4_5
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[453142856,453775392]),
    [] ).

cnf(455430136,plain,
    ( vertical_3_5
    | ~ vertical_1_4
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[451261800,151761584]),
    [] ).

cnf(474699328,plain,
    ( vertical_3_5
    | ~ vertical_1_4
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[455430136,151246784]),
    [] ).

cnf(475146072,plain,
    ( vertical_3_5
    | ~ vertical_1_4
    | vertical_3_3
    | horizontal_3_2
    | ~ horizontal_2_2 ),
    inference(resolution,[status(thm)],[474699328,151519520]),
    [] ).

cnf(475828496,plain,
    ( vertical_3_5
    | ~ vertical_1_4
    | vertical_3_3
    | ~ vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451460184,475146072,151642128]),
    [] ).

cnf(511352312,plain,
    ( ~ vertical_1_4
    | vertical_3_3
    | ~ vertical_3_2
    | ~ vertical_4_5 ),
    inference(resolution,[status(thm)],[475828496,152029176]),
    [] ).

cnf(518171472,plain,
    ( ~ vertical_1_4
    | ~ vertical_3_2
    | ~ horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[462365440,511352312,151932832]),
    [] ).

cnf(518287912,plain,
    ( ~ vertical_1_4
    | ~ horizontal_4_3
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[518171472,458012280]),
    [] ).

cnf(518352400,plain,
    ( ~ vertical_1_4
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_3
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[518287912,151322048]),
    [] ).

fof(covered_3_2,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151235032,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference(rewrite,[status(thm)],[covered_3_2]),
    [] ).

cnf(511829632,plain,
    ( ~ vertical_1_4
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[511759680,151235032]),
    [] ).

cnf(512042320,plain,
    ( ~ vertical_1_4
    | horizontal_3_2
    | horizontal_3_1
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[511829632,151881128]),
    [] ).

cnf(513906184,plain,
    ( ~ vertical_1_4
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_3
    | vertical_4_3
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[512042320,151322048]),
    [] ).

cnf(525959832,plain,
    ( ~ vertical_1_4
    | horizontal_3_2
    | horizontal_3_1
    | vertical_4_3
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[518352400,513906184,151926912]),
    [] ).

cnf(526069240,plain,
    ( ~ vertical_1_4
    | horizontal_3_2
    | horizontal_3_1
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[521871296,525959832,151916296]),
    [] ).

cnf(526133936,plain,
    ( ~ vertical_1_4
    | horizontal_3_2
    | vertical_3_3
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[526069240,151612304]),
    [] ).

cnf(526251768,plain,
    ( ~ vertical_1_4
    | vertical_3_3
    | ~ vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451422192,526133936,151642128]),
    [] ).

cnf(462824648,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | horizontal_3_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[452979024,453709448]),
    [] ).

cnf(541229688,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | vertical_4_3
    | ~ vertical_3_2 ),
    inference(resolution,[status(thm)],[462824648,151670856]),
    [] ).

cnf(541938408,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | ~ vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[526251768,541229688,151950272]),
    [] ).

cnf(542004352,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[541938408,458012280]),
    [] ).

cnf(542090768,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[532447824,542004352,151881128]),
    [] ).

cnf(542143264,plain,
    ( horizontal_3_4
    | ~ vertical_1_4
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[542090768,151612304]),
    [] ).

cnf(542222240,plain,
    ( ~ vertical_1_4
    | ~ vertical_3_1
    | ~ vertical_3_5 ),
    inference(resolution,[status(thm)],[542143264,151807544]),
    [] ).

cnf(543605176,plain,
    ( ~ vertical_3_1
    | horizontal_3_4
    | vertical_2_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[505092288,542222240,151054032]),
    [] ).

cnf(546517656,plain,
    ( ~ vertical_3_1
    | vertical_2_5
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[543605176,151751416]),
    [] ).

fof(unique_cover5_3_5,plain,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151813464,plain,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    inference(rewrite,[status(thm)],[unique_cover5_3_5]),
    [] ).

cnf(546607376,plain,
    ( ~ vertical_3_1
    | ~ vertical_3_4
    | ~ vertical_3_5 ),
    inference(resolution,[status(thm)],[546517656,151813464]),
    [] ).

cnf(547247664,plain,
    ( ~ vertical_3_1
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[483545296,546607376,151262560]),
    [] ).

cnf(547368608,plain,
    ( ~ vertical_3_1
    | horizontal_3_4
    | vertical_2_4
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[547247664,151779680]),
    [] ).

cnf(547993136,plain,
    ( horizontal_3_4
    | vertical_2_4
    | ~ horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451668120,547368608,451332880]),
    [] ).

cnf(458109296,plain,
    ( horizontal_4_2
    | vertical_3_2
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[458012280,151612304]),
    [] ).

cnf(467156168,plain,
    ( horizontal_4_2
    | ~ horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451332880,458109296,151642128]),
    [] ).

cnf(455733032,plain,
    ( vertical_3_1
    | vertical_3_3
    | ~ horizontal_3_4 ),
    inference(resolution,[status(thm)],[455520680,151761584]),
    [] ).

cnf(559115336,plain,
    ( vertical_3_1
    | ~ horizontal_3_4
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[455733032,151960312]),
    [] ).

cnf(564629856,plain,
    ( horizontal_4_3
    | vertical_4_1
    | vertical_4_3
    | ~ horizontal_3_4 ),
    inference(resolution,[status(thm)],[564511584,151751416]),
    [] ).

cnf(564976048,plain,
    ( horizontal_4_3
    | vertical_4_3
    | ~ horizontal_3_4
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[564629856,151852784]),
    [] ).

cnf(567590624,plain,
    ( vertical_4_3
    | ~ horizontal_3_4
    | ~ horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[559115336,564976048,151926912]),
    [] ).

cnf(567635528,plain,
    ( vertical_4_3
    | ~ horizontal_4_2
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[567590624,151262560]),
    [] ).

cnf(570238896,plain,
    ( vertical_4_3
    | vertical_3_4
    | vertical_2_4
    | ~ horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[467156168,567635528,151705568]),
    [] ).

cnf(570290320,plain,
    ( vertical_4_3
    | vertical_2_4
    | ~ horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[547993136,570238896,151751416]),
    [] ).

cnf(455797528,plain,
    ( vertical_3_1
    | horizontal_3_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[455520680,151960312]),
    [] ).

cnf(564647016,plain,
    ( horizontal_4_3
    | vertical_4_1
    | vertical_4_3
    | ~ vertical_2_4 ),
    inference(resolution,[status(thm)],[564511584,151785600]),
    [] ).

cnf(565187440,plain,
    ( horizontal_4_3
    | vertical_4_3
    | ~ vertical_2_4
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[564647016,151852784]),
    [] ).

cnf(568144256,plain,
    ( vertical_4_3
    | ~ vertical_2_4
    | ~ vertical_3_1
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[565187440,151926912]),
    [] ).

cnf(573544624,plain,
    ( vertical_4_3
    | ~ horizontal_4_2
    | horizontal_3_4
    | vertical_3_4
    | horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[455797528,568144256,151262560]),
    [] ).

cnf(573584920,plain,
    ( vertical_4_3
    | horizontal_3_4
    | vertical_3_4
    | ~ horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[467156168,573544624,151705568]),
    [] ).

fof(unique_cover3_3_4,plain,
    ( ~ horizontal_3_4
    | ~ vertical_2_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151053048,plain,
    ( ~ horizontal_3_4
    | ~ vertical_2_4 ),
    inference(rewrite,[status(thm)],[unique_cover3_3_4]),
    [] ).

cnf(573653368,plain,
    ( vertical_4_3
    | vertical_3_4
    | ~ horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[570238896,573584920,151053048]),
    [] ).

cnf(573705440,plain,
    ( vertical_4_3
    | ~ horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[570290320,573653368,151785600]),
    [] ).

cnf(573726432,plain,
    ( vertical_4_3
    | horizontal_3_3
    | vertical_3_3
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[573705440,151246784]),
    [] ).

fof(unique_cover6_3_3,plain,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151743696,plain,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    inference(rewrite,[status(thm)],[unique_cover6_3_3]),
    [] ).

cnf(573767240,plain,
    ( vertical_4_3
    | horizontal_3_3
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[566178464,573726432,151743696]),
    [] ).

cnf(573820552,plain,
    ( horizontal_3_3
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[480304696,573767240,151944480]),
    [] ).

cnf(578244144,plain,
    ( ~ vertical_4_3
    | horizontal_3_3 ),
    inference(resolution,[status(thm)],[151950272,573820552]),
    [] ).

cnf(522176432,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | vertical_3_3
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[522093808,151944480]),
    [] ).

cnf(522024128,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | horizontal_3_2
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[521871296,151950272]),
    [] ).

fof(unique_cover4_3_3,plain,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151723456,plain,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    inference(rewrite,[status(thm)],[unique_cover4_3_3]),
    [] ).

cnf(524129800,plain,
    ( ~ vertical_1_4
    | horizontal_4_3
    | ~ vertical_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[522176432,522024128,151723456]),
    [] ).

cnf(524197304,plain,
    ( ~ vertical_1_4
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[524129800,151916296]),
    [] ).

cnf(524241192,plain,
    ( ~ vertical_4_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_3 ),
    inference(resolution,[status(thm)],[524197304,151190888]),
    [] ).

cnf(456092080,plain,
    ( horizontal_4_2
    | ~ horizontal_2_3 ),
    inference(resolution,[status(thm)],[456009016,151507464]),
    [] ).

cnf(456262120,plain,
    ( ~ horizontal_2_3
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[456092080,151944480]),
    [] ).

cnf(510434536,plain,
    ( ~ vertical_4_3
    | horizontal_2_4
    | vertical_2_4
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[456262120,151190888]),
    [] ).

fof(unique_cover6_2_4,plain,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151576336,plain,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    inference(rewrite,[status(thm)],[unique_cover6_2_4]),
    [] ).

cnf(592501696,plain,
    ( ~ vertical_4_3
    | horizontal_2_4
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[524241192,510434536,151576336]),
    [] ).

cnf(490335992,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_3
    | ~ horizontal_3_1 ),
    inference(resolution,[status(thm)],[490228944,151612304]),
    [] ).

cnf(492326744,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_3
    | horizontal_4_2
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[490335992,458012280]),
    [] ).

cnf(490259968,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[490174360,151246784]),
    [] ).

cnf(491870672,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_3
    | horizontal_3_2
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[490259968,456098640]),
    [] ).

cnf(493403960,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_3
    | horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[492326744,491870672,151642128]),
    [] ).

cnf(493481960,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_3
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[493403960,151944480]),
    [] ).

cnf(491896440,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[485565560,490259968,151519520]),
    [] ).

cnf(492037544,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | horizontal_3_2
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[491896440,151950272]),
    [] ).

cnf(493856888,plain,
    ( ~ horizontal_2_4
    | horizontal_4_3
    | ~ vertical_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[493481960,492037544,151723456]),
    [] ).

cnf(493913968,plain,
    ( ~ horizontal_2_4
    | ~ vertical_4_3 ),
    inference(resolution,[status(thm)],[493856888,151916296]),
    [] ).

cnf(493957864,plain,
    ( ~ vertical_4_3
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[493913968,151190888]),
    [] ).

fof(unique_cover2_2_4,plain,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151537696,plain,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    inference(rewrite,[status(thm)],[unique_cover2_2_4]),
    [] ).

cnf(592484176,plain,
    ( ~ vertical_4_3
    | vertical_2_4
    | vertical_1_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[493957864,510434536,151537696]),
    [] ).

fof(unique_cover3_2_4,plain,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151547992,plain,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    inference(rewrite,[status(thm)],[unique_cover3_2_4]),
    [] ).

cnf(592538208,plain,
    ( ~ vertical_4_3
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[592501696,592484176,151547992]),
    [] ).

cnf(592599304,plain,
    ~ vertical_4_3,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[578244144,592538208,151795768]),
    [] ).

cnf(592613632,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[592599304,151322048]),
    [] ).

cnf(573829832,plain,
    ( vertical_4_3
    | horizontal_3_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[573767240,151960312]),
    [] ).

cnf(573893056,plain,
    ( horizontal_3_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[573829832,151944480]),
    [] ).

cnf(542166752,plain,
    ( horizontal_3_4
    | ~ vertical_3_1
    | horizontal_1_4 ),
    inference(resolution,[status(thm)],[542143264,155013408]),
    [] ).

cnf(505110288,plain,
    ( horizontal_3_4
    | ~ vertical_3_1
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[505022712,151190888]),
    [] ).

cnf(549771640,plain,
    ( horizontal_3_4
    | ~ vertical_3_1
    | vertical_2_4
    | horizontal_2_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[542166752,505110288,151419976]),
    [] ).

cnf(549870888,plain,
    ( ~ vertical_3_1
    | vertical_2_4
    | horizontal_2_3
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[549771640,151761584]),
    [] ).

cnf(550420888,plain,
    ( ~ vertical_3_1
    | horizontal_2_3
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[549870888,151795768]),
    [] ).

cnf(550475792,plain,
    ( ~ vertical_3_1
    | ~ horizontal_3_3
    | ~ horizontal_2_2 ),
    inference(resolution,[status(thm)],[550420888,151507464]),
    [] ).

cnf(455981920,plain,
    ( horizontal_2_2
    | horizontal_4_2
    | horizontal_4_1 ),
    inference(resolution,[status(thm)],[451508008,453442448]),
    [] ).

cnf(550825296,plain,
    ( ~ vertical_3_1
    | ~ horizontal_3_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference(resolution,[status(thm)],[550475792,455981920]),
    [] ).

cnf(551003096,plain,
    ( ~ horizontal_3_3
    | horizontal_4_2
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[450686776,550825296,452094224]),
    [] ).

cnf(453744096,plain,
    ( vertical_4_5
    | vertical_4_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[453636416,453186856]),
    [] ).

cnf(453868352,plain,
    ( vertical_4_5
    | vertical_4_1
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[453744096,151916296]),
    [] ).

cnf(454070240,plain,
    ( ~ vertical_4_4
    | vertical_4_5 ),
    inference(resolution,[status(thm)],[152114544,151407784]),
    [] ).

cnf(454120560,plain,
    ( vertical_4_5
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[454070240,151337696]),
    [] ).

cnf(463579576,plain,
    ( vertical_4_5
    | vertical_4_1
    | horizontal_4_4
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[453868352,454120560]),
    [] ).

cnf(452557608,plain,
    ( ~ horizontal_4_3
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[151926912,151302312]),
    [] ).

cnf(518250816,plain,
    ( ~ vertical_1_4
    | ~ horizontal_4_3
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_1 ),
    inference(resolution,[status(thm)],[518171472,151302312]),
    [] ).

cnf(532962688,plain,
    ( ~ vertical_1_4
    | ~ horizontal_4_3
    | vertical_4_2
    | horizontal_4_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[452557608,518250816,151881128]),
    [] ).

cnf(533026952,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[532962688,151337696]),
    [] ).

cnf(536288608,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | horizontal_4_1
    | horizontal_4_4
    | vertical_3_4
    | vertical_4_5 ),
    inference(resolution,[status(thm)],[533026952,454070240]),
    [] ).

fof(unique_cover1_4_1,plain,
    ( ~ horizontal_4_1
    | ~ vertical_4_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151835184,plain,
    ( ~ horizontal_4_1
    | ~ vertical_4_1 ),
    inference(rewrite,[status(thm)],[unique_cover1_4_1]),
    [] ).

cnf(537737048,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | horizontal_4_4
    | vertical_3_4
    | vertical_4_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[463579576,536288608,151835184]),
    [] ).

cnf(537801928,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | horizontal_4_4
    | vertical_4_5
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[537737048,151779680]),
    [] ).

cnf(539335120,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | horizontal_4_4
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[455430136,537801928,152029176]),
    [] ).

cnf(539326848,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | vertical_4_5
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[520973392,537801928,151977880]),
    [] ).

cnf(539429752,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[539335120,539326848,152022768]),
    [] ).

fof(unique_cover4_4_2,plain,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151892808,plain,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    inference(rewrite,[status(thm)],[unique_cover4_4_2]),
    [] ).

cnf(539523400,plain,
    ( ~ vertical_1_4
    | ~ horizontal_3_3
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[539429752,151892808]),
    [] ).

cnf(540291264,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_4_1
    | horizontal_1_4 ),
    inference(resolution,[status(thm)],[539523400,155013408]),
    [] ).

cnf(462227848,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | vertical_4_1
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[452926376,453701200]),
    [] ).

cnf(496321696,plain,
    ( ~ horizontal_2_4
    | vertical_4_1
    | vertical_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[462227848,151761584]),
    [] ).

cnf(497191352,plain,
    ( ~ horizontal_2_4
    | vertical_4_1
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[490174360,496321696,151916296]),
    [] ).

cnf(497275192,plain,
    ( ~ horizontal_2_4
    | ~ horizontal_3_3
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[497191352,151835184]),
    [] ).

cnf(499207216,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_4_1
    | vertical_2_5
    | vertical_1_5 ),
    inference(resolution,[status(thm)],[497275192,151205088]),
    [] ).

cnf(451570952,plain,
    ( vertical_3_1
    | ~ horizontal_2_3 ),
    inference(resolution,[status(thm)],[451518568,450850960]),
    [] ).

cnf(451603312,plain,
    ( vertical_3_1
    | horizontal_2_4
    | vertical_2_4
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[451570952,151190888]),
    [] ).

cnf(457185560,plain,
    ( vertical_3_1
    | horizontal_2_4
    | vertical_1_4
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[451603312,151795768]),
    [] ).

cnf(466203008,plain,
    ( vertical_3_1
    | horizontal_2_4
    | ~ horizontal_3_3
    | ~ horizontal_1_4 ),
    inference(resolution,[status(thm)],[457185560,151419976]),
    [] ).

cnf(473142256,plain,
    ( horizontal_2_4
    | ~ horizontal_3_3
    | ~ horizontal_1_4
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[466203008,151845320]),
    [] ).

cnf(474204656,plain,
    ( horizontal_2_4
    | ~ horizontal_3_3
    | ~ horizontal_4_1
    | vertical_1_5 ),
    inference(resolution,[status(thm)],[473142256,151132888]),
    [] ).

cnf(555501152,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_4_1
    | vertical_1_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[499207216,474204656,151584184]),
    [] ).

cnf(555977088,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_4_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[540291264,555501152,151428056]),
    [] ).

fof(covered_4_1,plain,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151290720,plain,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    inference(rewrite,[status(thm)],[covered_4_1]),
    [] ).

cnf(555985192,plain,
    ( ~ horizontal_3_3
    | vertical_4_1
    | vertical_3_1 ),
    inference(resolution,[status(thm)],[555977088,151290720]),
    [] ).

cnf(556064280,plain,
    ( ~ horizontal_3_3
    | vertical_4_1
    | ~ horizontal_3_1 ),
    inference(resolution,[status(thm)],[555985192,151612304]),
    [] ).

cnf(556291280,plain,
    ( ~ horizontal_3_3
    | vertical_4_1
    | horizontal_4_2
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[556064280,458012280]),
    [] ).

cnf(554868616,plain,
    ( ~ horizontal_3_3
    | vertical_4_1
    | horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[551003096,556291280,151670856]),
    [] ).

cnf(564640472,plain,
    ( horizontal_4_3
    | vertical_4_1
    | vertical_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[564511584,151779680]),
    [] ).

cnf(565052704,plain,
    ( horizontal_4_3
    | vertical_4_1
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[554868616,564640472,151944480]),
    [] ).

cnf(565041168,plain,
    ( vertical_4_1
    | vertical_4_3
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[554868616,564640472,151926912]),
    [] ).

cnf(565103200,plain,
    ( vertical_4_1
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[565052704,565041168,151916296]),
    [] ).

cnf(454540104,plain,
    ( vertical_2_2
    | horizontal_3_3
    | vertical_3_3
    | vertical_3_1 ),
    inference(resolution,[status(thm)],[450917712,451332880]),
    [] ).

cnf(473128280,plain,
    ( vertical_3_1
    | horizontal_2_4
    | ~ horizontal_1_4
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[466203008,455520680]),
    [] ).

cnf(473174368,plain,
    ( vertical_3_1
    | horizontal_2_4
    | vertical_3_3
    | ~ vertical_2_5 ),
    inference(resolution,[status(thm)],[473128280,451212616]),
    [] ).

cnf(455757360,plain,
    ( horizontal_3_3
    | vertical_3_3
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[455520680,151845320]),
    [] ).

cnf(473186808,plain,
    ( horizontal_2_4
    | ~ horizontal_1_4
    | vertical_3_3
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[473128280,151845320]),
    [] ).

cnf(473397992,plain,
    ( horizontal_2_4
    | vertical_3_3
    | ~ horizontal_4_1
    | ~ vertical_2_5 ),
    inference(resolution,[status(thm)],[473186808,451212616]),
    [] ).

cnf(454455248,plain,
    ( vertical_2_2
    | horizontal_2_4
    | vertical_2_4
    | ~ horizontal_1_4 ),
    inference(resolution,[status(thm)],[450879328,151419976]),
    [] ).

cnf(477166376,plain,
    ( vertical_2_2
    | vertical_2_4
    | ~ vertical_2_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451212616,454455248,151584184]),
    [] ).

cnf(477180664,plain,
    ( vertical_2_2
    | vertical_2_4
    | vertical_3_5
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[477166376,151054032]),
    [] ).

cnf(477269616,plain,
    ( vertical_2_2
    | vertical_3_5
    | horizontal_3_4
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[477180664,151795768]),
    [] ).

cnf(477247728,plain,
    ( vertical_2_2
    | vertical_2_4
    | vertical_3_5
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[477180664,151761584]),
    [] ).

cnf(477549760,plain,
    ( vertical_2_2
    | vertical_3_5
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[477269616,477247728,151053048]),
    [] ).

cnf(477563128,plain,
    ( vertical_2_2
    | vertical_3_5
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[477549760,151246784]),
    [] ).

fof(unique_cover3_3_3,plain,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151715736,plain,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    inference(rewrite,[status(thm)],[unique_cover3_3_3]),
    [] ).

cnf(477628168,plain,
    ( vertical_2_2
    | vertical_3_5
    | vertical_3_3
    | horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[450917712,477563128,151715736]),
    [] ).

cnf(478639640,plain,
    ( vertical_2_2
    | vertical_3_5
    | vertical_3_3
    | ~ vertical_3_2 ),
    inference(resolution,[status(thm)],[477628168,151642128]),
    [] ).

cnf(478682000,plain,
    ( vertical_2_2
    | vertical_3_5
    | vertical_3_3
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[478639640,458012280]),
    [] ).

cnf(478714544,plain,
    ( vertical_2_2
    | vertical_3_5
    | vertical_3_3
    | horizontal_4_2
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[478682000,151612304]),
    [] ).

cnf(478977856,plain,
    ( vertical_2_2
    | vertical_3_3
    | horizontal_4_2
    | ~ horizontal_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[455733032,478714544,151807544]),
    [] ).

cnf(479031696,plain,
    ( vertical_2_2
    | vertical_3_3
    | horizontal_4_2
    | vertical_3_5
    | vertical_2_5 ),
    inference(resolution,[status(thm)],[478977856,151054032]),
    [] ).

fof(unique_cover2_4_2,plain,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151875176,plain,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    inference(rewrite,[status(thm)],[unique_cover2_4_2]),
    [] ).

cnf(479129288,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_5
    | vertical_2_5
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[479031696,151875176]),
    [] ).

cnf(479363000,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_5
    | ~ horizontal_4_1
    | ~ horizontal_2_4 ),
    inference(resolution,[status(thm)],[479129288,151584184]),
    [] ).

cnf(479617344,plain,
    ( vertical_2_2
    | vertical_3_3
    | ~ horizontal_4_1
    | ~ vertical_2_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[473397992,479363000,151813464]),
    [] ).

cnf(479626576,plain,
    ( vertical_2_2
    | vertical_3_3
    | ~ horizontal_4_1
    | vertical_3_5
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[479617344,151054032]),
    [] ).

cnf(479726272,plain,
    ( vertical_2_2
    | vertical_3_3
    | ~ horizontal_4_1
    | vertical_3_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[455757360,479626576,151761584]),
    [] ).

cnf(479742056,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_5
    | vertical_4_1
    | vertical_3_1 ),
    inference(resolution,[status(thm)],[479726272,151290720]),
    [] ).

cnf(479805728,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_5
    | vertical_4_1
    | ~ horizontal_3_1 ),
    inference(resolution,[status(thm)],[479742056,151612304]),
    [] ).

cnf(479974288,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_4_1
    | ~ horizontal_3_1
    | ~ horizontal_3_4 ),
    inference(resolution,[status(thm)],[479805728,151807544]),
    [] ).

cnf(480294880,plain,
    ( vertical_2_2
    | vertical_3_3
    | ~ horizontal_3_1
    | ~ horizontal_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[455733032,479974288,151852784]),
    [] ).

cnf(480355952,plain,
    ( vertical_2_2
    | vertical_3_3
    | ~ horizontal_3_1
    | vertical_3_5
    | vertical_2_5 ),
    inference(resolution,[status(thm)],[480294880,151054032]),
    [] ).

cnf(480470040,plain,
    ( vertical_2_2
    | vertical_3_3
    | ~ horizontal_3_1
    | vertical_3_5
    | ~ horizontal_2_4 ),
    inference(resolution,[status(thm)],[480355952,151584184]),
    [] ).

cnf(480774296,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_5
    | ~ horizontal_2_4
    | vertical_3_1 ),
    inference(resolution,[status(thm)],[480470040,450686776]),
    [] ).

cnf(480865144,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_1
    | ~ vertical_2_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[473174368,480774296,151813464]),
    [] ).

cnf(480879952,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_1
    | vertical_3_5
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[480865144,151054032]),
    [] ).

cnf(480969408,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_1
    | vertical_3_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[454540104,480879952,151761584]),
    [] ).

cnf(481006288,plain,
    ( vertical_3_3
    | vertical_3_1
    | vertical_3_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451560104,480969408,151053392]),
    [] ).

cnf(479097736,plain,
    ( vertical_2_2
    | vertical_3_3
    | horizontal_4_2
    | vertical_3_5
    | ~ horizontal_2_4 ),
    inference(resolution,[status(thm)],[479031696,151584184]),
    [] ).

cnf(479297320,plain,
    ( vertical_3_3
    | horizontal_4_2
    | vertical_3_5
    | ~ horizontal_2_4 ),
    inference(resolution,[status(thm)],[479097736,456080656]),
    [] ).

cnf(484295136,plain,
    ( vertical_3_3
    | vertical_3_5
    | ~ horizontal_2_4
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[479297320,151926912]),
    [] ).

cnf(487092256,plain,
    ( vertical_3_5
    | ~ horizontal_2_4
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[484295136,151932832]),
    [] ).

cnf(496176840,plain,
    ( horizontal_3_4
    | ~ horizontal_2_4
    | horizontal_3_1
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[462781104,151916296]),
    [] ).

cnf(496850000,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | ~ horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[487092256,496176840,151807544]),
    [] ).

cnf(496898904,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[496850000,151322048]),
    [] ).

cnf(498702056,plain,
    ( ~ horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[493403960,496898904,151916296]),
    [] ).

cnf(497229184,plain,
    ( ~ horizontal_2_4
    | vertical_4_1
    | vertical_3_1
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[497191352,455520680]),
    [] ).

cnf(497322040,plain,
    ( ~ horizontal_2_4
    | vertical_4_1
    | vertical_3_3
    | ~ horizontal_3_1 ),
    inference(resolution,[status(thm)],[497229184,151612304]),
    [] ).

cnf(499311856,plain,
    ( ~ horizontal_2_4
    | vertical_3_3
    | ~ horizontal_4_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[452094224,497322040,151835184]),
    [] ).

cnf(499359848,plain,
    ( ~ horizontal_2_4
    | vertical_3_3
    | horizontal_4_2
    | vertical_4_2
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[499311856,151302312]),
    [] ).

cnf(501185848,plain,
    ( ~ horizontal_2_4
    | vertical_3_3
    | horizontal_4_2
    | vertical_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[498702056,499359848,151670856]),
    [] ).

fof(unique_cover1_3_3,plain,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151698912,plain,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    inference(rewrite,[status(thm)],[unique_cover1_3_3]),
    [] ).

cnf(501256400,plain,
    ( ~ horizontal_2_4
    | horizontal_4_2
    | vertical_4_2
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[501185848,151698912]),
    [] ).

cnf(502021704,plain,
    ( ~ horizontal_2_4
    | vertical_4_2
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[490174360,501256400,151926912]),
    [] ).

cnf(502045576,plain,
    ( vertical_4_2
    | ~ horizontal_3_3
    | vertical_1_4
    | vertical_2_5 ),
    inference(resolution,[status(thm)],[502021704,450783616]),
    [] ).

cnf(539458256,plain,
    ( vertical_4_2
    | ~ horizontal_3_3
    | vertical_2_5
    | horizontal_2_4 ),
    inference(resolution,[status(thm)],[539429752,450783616]),
    [] ).

cnf(555538976,plain,
    ( vertical_4_2
    | ~ horizontal_3_3
    | vertical_2_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[502045576,539458256,151547992]),
    [] ).

cnf(555593168,plain,
    ( vertical_4_2
    | ~ horizontal_3_3
    | ~ vertical_3_5 ),
    inference(resolution,[status(thm)],[555538976,151813464]),
    [] ).

cnf(556094616,plain,
    ( vertical_4_2
    | vertical_3_1
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[481006288,555593168,455520680]),
    [] ).

cnf(576073352,plain,
    ( vertical_4_2
    | vertical_3_1
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[556094616,151698912]),
    [] ).

cnf(576192672,plain,
    ( vertical_4_2
    | ~ horizontal_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[565103200,576073352,151852784]),
    [] ).

fof(unique_cover1_4_2,plain,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151864528,plain,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    inference(rewrite,[status(thm)],[unique_cover1_4_2]),
    [] ).

cnf(576215944,plain,
    ~ horizontal_4_2,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[573893056,576192672,151864528]),
    [] ).

cnf(586760312,plain,
    ( horizontal_4_3
    | vertical_4_3
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[576215944,151322048]),
    [] ).

cnf(612147168,plain,
    ( horizontal_4_3
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[592613632,586760312,151944480]),
    [] ).

cnf(565076480,plain,
    ( vertical_4_1
    | vertical_4_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[565041168,151246784]),
    [] ).

cnf(565820688,plain,
    ( vertical_4_1
    | vertical_4_3
    | vertical_3_3
    | horizontal_3_2
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[565076480,456098640]),
    [] ).

cnf(566388032,plain,
    ( vertical_4_1
    | vertical_4_3
    | vertical_3_3
    | horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[480304696,565820688,151705568]),
    [] ).

cnf(566492968,plain,
    ( vertical_4_1
    | vertical_4_3
    | vertical_3_3
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[566388032,151926912]),
    [] ).

cnf(566776952,plain,
    ( vertical_4_1
    | vertical_4_3
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[566492968,151932832]),
    [] ).

cnf(566801472,plain,
    ( vertical_4_1
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[566776952,151916296]),
    [] ).

cnf(452057576,plain,
    ( ~ horizontal_4_1
    | horizontal_5_1 ),
    inference(resolution,[status(thm)],[151835184,151359768]),
    [] ).

cnf(452087848,plain,
    ( horizontal_5_1
    | horizontal_4_2
    | vertical_4_2
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[452057576,151302312]),
    [] ).

cnf(457871048,plain,
    ( horizontal_5_1
    | horizontal_4_2
    | vertical_4_2 ),
    inference(resolution,[status(thm)],[452087848,452315232]),
    [] ).

fof(unique_cover3_5_1,plain,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152046408,plain,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    inference(rewrite,[status(thm)],[unique_cover3_5_1]),
    [] ).

cnf(461017560,plain,
    ( horizontal_4_2
    | vertical_4_2
    | ~ vertical_4_1 ),
    inference(resolution,[status(thm)],[457871048,152046408]),
    [] ).

cnf(575284520,plain,
    ( vertical_4_2
    | ~ horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[566801472,461017560,151926912]),
    [] ).

cnf(575298400,plain,
    ( vertical_4_2
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[575284520,151322048]),
    [] ).

fof(unique_cover3_5_2,plain,
    ( ~ horizontal_5_2
    | ~ vertical_4_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(152063128,plain,
    ( ~ horizontal_5_2
    | ~ vertical_4_2 ),
    inference(rewrite,[status(thm)],[unique_cover3_5_2]),
    [] ).

cnf(462327488,plain,
    ( ~ vertical_4_2
    | vertical_4_5
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[152063128,453775392]),
    [] ).

cnf(478702952,plain,
    ( vertical_3_5
    | vertical_3_3
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[478682000,456080656]),
    [] ).

cnf(481017064,plain,
    ( vertical_2_2
    | vertical_3_3
    | vertical_3_5
    | ~ horizontal_3_1 ),
    inference(resolution,[status(thm)],[480969408,151612304]),
    [] ).

cnf(481123856,plain,
    ( vertical_3_3
    | vertical_3_5
    | horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[478702952,481017064,456080656]),
    [] ).

cnf(511073448,plain,
    ( vertical_3_5
    | horizontal_4_2
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[481123856,151932832]),
    [] ).

cnf(511152776,plain,
    ( vertical_3_5
    | ~ horizontal_4_3
    | ~ vertical_4_2 ),
    inference(resolution,[status(thm)],[511073448,151864528]),
    [] ).

cnf(605867152,plain,
    ( ~ horizontal_4_3
    | ~ vertical_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[462327488,511152776,152029176]),
    [] ).

cnf(607699016,plain,
    ( vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[575298400,605867152,151322048]),
    [] ).

cnf(612137928,plain,
    ( vertical_4_3
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[607699016,586760312,151926912]),
    [] ).

cnf(612159688,plain,
    vertical_3_3,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[612147168,612137928,151916296]),
    [] ).

cnf(511808808,plain,
    ( ~ vertical_2_2
    | vertical_2_5
    | horizontal_2_4 ),
    inference(resolution,[status(thm)],[511759680,450783616]),
    [] ).

cnf(485635216,plain,
    ( ~ vertical_2_2
    | vertical_2_5
    | vertical_1_5 ),
    inference(resolution,[status(thm)],[485606048,151205088]),
    [] ).

fof(unique_cover6_2_5,plain,
    ( ~ horizontal_2_4
    | ~ vertical_1_5 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151604648,plain,
    ( ~ horizontal_2_4
    | ~ vertical_1_5 ),
    inference(rewrite,[status(thm)],[unique_cover6_2_5]),
    [] ).

cnf(552880328,plain,
    ( ~ vertical_2_2
    | vertical_2_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[511808808,485635216,151604648]),
    [] ).

cnf(552926048,plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_4 ),
    inference(resolution,[status(thm)],[552880328,151823600]),
    [] ).

cnf(552961848,plain,
    ( ~ vertical_2_2
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[552926048,151262560]),
    [] ).

cnf(547313600,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | vertical_2_4
    | ~ vertical_2_2 ),
    inference(resolution,[status(thm)],[547247664,451518568]),
    [] ).

cnf(553042896,plain,
    ( horizontal_3_3
    | vertical_2_4
    | ~ vertical_2_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[552961848,547313600,151751416]),
    [] ).

cnf(553059240,plain,
    ( horizontal_3_3
    | vertical_2_4
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[553042896,450737552]),
    [] ).

cnf(547258688,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | vertical_2_4
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[547247664,450686776]),
    [] ).

cnf(452216080,plain,
    ( ~ vertical_4_1
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[151852784,450686776]),
    [] ).

cnf(565061712,plain,
    ( vertical_4_3
    | ~ horizontal_3_3
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[565041168,452216080]),
    [] ).

cnf(565130312,plain,
    ( vertical_4_3
    | horizontal_3_1
    | horizontal_3_4
    | vertical_3_4
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[565061712,151262560]),
    [] ).

cnf(565974120,plain,
    ( vertical_4_3
    | horizontal_3_1
    | horizontal_3_4
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[547258688,565130312,151779680]),
    [] ).

cnf(451529400,plain,
    ( ~ horizontal_3_1
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[151687072,450737552]),
    [] ).

cnf(566004272,plain,
    ( vertical_4_3
    | horizontal_3_4
    | vertical_2_4
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[565974120,451529400]),
    [] ).

cnf(566039552,plain,
    ( vertical_4_3
    | vertical_2_4
    | horizontal_2_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[553059240,566004272,151761584]),
    [] ).

cnf(566072424,plain,
    ( vertical_2_4
    | horizontal_2_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[456009016,566039552,151944480]),
    [] ).

cnf(523068752,plain,
    ( ~ vertical_1_4
    | vertical_3_1
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[523012768,151302312]),
    [] ).

cnf(524698152,plain,
    ( ~ vertical_1_4
    | vertical_3_1
    | vertical_4_2
    | horizontal_4_1 ),
    inference(resolution,[status(thm)],[523068752,451422192]),
    [] ).

cnf(524817472,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | horizontal_4_1
    | ~ horizontal_3_1 ),
    inference(resolution,[status(thm)],[524698152,151612304]),
    [] ).

cnf(525122136,plain,
    ( ~ vertical_1_4
    | vertical_4_2
    | ~ vertical_4_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[452216080,524817472,151835184]),
    [] ).

cnf(525134280,plain,
    ( vertical_4_2
    | ~ vertical_4_1
    | horizontal_1_4 ),
    inference(resolution,[status(thm)],[525122136,155013408]),
    [] ).

cnf(492817360,plain,
    ( ~ horizontal_2_4
    | vertical_3_1
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[492762888,151302312]),
    [] ).

cnf(494289600,plain,
    ( ~ horizontal_2_4
    | vertical_3_1
    | vertical_4_2
    | horizontal_4_1 ),
    inference(resolution,[status(thm)],[492817360,451422192]),
    [] ).

cnf(494400520,plain,
    ( ~ horizontal_2_4
    | vertical_4_2
    | horizontal_4_1
    | ~ horizontal_3_1 ),
    inference(resolution,[status(thm)],[494289600,151612304]),
    [] ).

cnf(494854744,plain,
    ( ~ horizontal_2_4
    | vertical_4_2
    | ~ vertical_4_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[452216080,494400520,151835184]),
    [] ).

cnf(494899832,plain,
    ( vertical_4_2
    | ~ vertical_4_1
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[494854744,151190888]),
    [] ).

cnf(577164448,plain,
    ( vertical_4_2
    | ~ vertical_4_1
    | vertical_2_4
    | horizontal_2_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[525134280,494899832,151419976]),
    [] ).

cnf(577222912,plain,
    ( vertical_4_2
    | ~ vertical_4_1
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[566072424,577164448,151507464]),
    [] ).

cnf(573876720,plain,
    ( vertical_4_3
    | horizontal_3_3
    | horizontal_5_1
    | vertical_4_2 ),
    inference(resolution,[status(thm)],[573829832,457871048]),
    [] ).

cnf(573903472,plain,
    ( vertical_4_3
    | horizontal_5_1
    | vertical_4_2
    | ~ vertical_2_4 ),
    inference(resolution,[status(thm)],[573876720,151795768]),
    [] ).

cnf(574078144,plain,
    ( horizontal_5_1
    | vertical_4_2
    | ~ vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[457871048,573903472,151944480]),
    [] ).

cnf(581965488,plain,
    ( vertical_4_2
    | ~ vertical_4_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[577222912,574078144,152046408]),
    [] ).

cnf(584396088,plain,
    ~ horizontal_5_2,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[453074976,581965488,152063128]),
    [] ).

cnf(614869248,plain,
    ( horizontal_5_3
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[151387584,584396088]),
    [] ).

cnf(614946208,plain,
    horizontal_5_3,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[612159688,151950272,614869248]),
    [] ).

cnf(614968632,plain,
    vertical_4_5,
    inference(resolution,[status(thm)],[453636416,614946208]),
    [] ).

cnf(614990568,plain,
    ~ horizontal_4_4,
    inference(resolution,[status(thm)],[152022768,614968632]),
    [] ).

cnf(615073560,plain,
    ( vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[151337696,614990568]),
    [] ).

cnf(451042832,plain,
    ( ~ vertical_2_4
    | horizontal_1_4 ),
    inference(resolution,[status(thm)],[151566008,155013408]),
    [] ).

cnf(454527864,plain,
    ( vertical_2_2
    | horizontal_2_4
    | vertical_1_4
    | ~ horizontal_3_3 ),
    inference(resolution,[status(thm)],[450879328,151795768]),
    [] ).

cnf(466145488,plain,
    ( vertical_2_2
    | horizontal_2_4
    | vertical_1_4
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[454527864,151246784]),
    [] ).

cnf(466612824,plain,
    ( vertical_2_2
    | horizontal_2_4
    | vertical_1_4
    | vertical_3_3
    | horizontal_3_2 ),
    inference(resolution,[status(thm)],[466145488,450891048]),
    [] ).

cnf(466641552,plain,
    ( vertical_2_2
    | horizontal_2_4
    | vertical_3_3
    | horizontal_3_2
    | ~ horizontal_1_4 ),
    inference(resolution,[status(thm)],[466612824,151419976]),
    [] ).

cnf(473236808,plain,
    ( horizontal_2_4
    | vertical_3_3
    | horizontal_3_2
    | ~ horizontal_1_4
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[466641552,456080656]),
    [] ).

cnf(466652488,plain,
    ( horizontal_2_4
    | vertical_1_4
    | vertical_3_3
    | horizontal_3_2
    | ~ horizontal_2_2 ),
    inference(resolution,[status(thm)],[466612824,151053392]),
    [] ).

cnf(466740536,plain,
    ( horizontal_2_4
    | vertical_3_3
    | horizontal_3_2
    | ~ horizontal_2_2
    | ~ horizontal_1_4 ),
    inference(resolution,[status(thm)],[466652488,151419976]),
    [] ).

cnf(473694040,plain,
    ( horizontal_2_4
    | vertical_3_3
    | ~ horizontal_1_4
    | ~ vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451460184,466740536,151642128]),
    [] ).

cnf(473771488,plain,
    ( horizontal_2_4
    | vertical_3_3
    | ~ horizontal_1_4
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(resolution,[status(thm)],[473694040,458012280]),
    [] ).

cnf(473921720,plain,
    ( horizontal_2_4
    | vertical_3_3
    | ~ horizontal_1_4
    | horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[473236808,473771488,151652904]),
    [] ).

cnf(473972632,plain,
    ( vertical_3_3
    | horizontal_4_2
    | ~ vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451042832,473921720,151531456]),
    [] ).

cnf(573813224,plain,
    ( vertical_4_3
    | vertical_3_3
    | ~ vertical_2_4 ),
    inference(resolution,[status(thm)],[573767240,151795768]),
    [] ).

cnf(573853680,plain,
    ( vertical_3_3
    | ~ vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[473972632,573813224,151944480]),
    [] ).

cnf(473421424,plain,
    ( vertical_3_3
    | ~ horizontal_4_1
    | ~ vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451042832,473186808,151531456]),
    [] ).

cnf(565176872,plain,
    ( horizontal_4_3
    | vertical_4_3
    | ~ vertical_2_4
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[564647016,151835184]),
    [] ).

cnf(568047520,plain,
    ( vertical_4_3
    | ~ vertical_2_4
    | ~ horizontal_4_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[473421424,565176872,151932832]),
    [] ).

cnf(581913592,plain,
    ( ~ horizontal_4_1
    | ~ vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[568047520,473421424,151950272]),
    [] ).

cnf(566458424,plain,
    ( vertical_4_3
    | vertical_3_3
    | horizontal_4_2
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[566388032,151835184]),
    [] ).

cnf(566718080,plain,
    ( vertical_4_3
    | vertical_3_3
    | horizontal_4_2
    | vertical_4_2
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[566458424,151302312]),
    [] ).

cnf(564657584,plain,
    ( horizontal_4_3
    | vertical_3_4
    | vertical_4_3
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[564511584,151835184]),
    [] ).

cnf(565231200,plain,
    ( horizontal_4_3
    | vertical_3_4
    | vertical_4_3
    | horizontal_4_2
    | vertical_4_2
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[564657584,151302312]),
    [] ).

cnf(568239456,plain,
    ( vertical_3_4
    | vertical_4_3
    | horizontal_4_2
    | vertical_4_2
    | vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[566718080,565231200,151932832]),
    [] ).

cnf(477258656,plain,
    ( vertical_2_2
    | vertical_3_5
    | horizontal_3_4
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[477180664,151785600]),
    [] ).

cnf(477236816,plain,
    ( vertical_2_2
    | vertical_2_4
    | vertical_3_5
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[477180664,151751416]),
    [] ).

cnf(184896008,plain,
    ( vertical_2_2
    | vertical_3_5
    | ~ vertical_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[477258656,477236816,151053048]),
    [] ).

cnf(477506592,plain,
    ( vertical_3_5
    | ~ vertical_3_4
    | ~ horizontal_2_2 ),
    inference(resolution,[status(thm)],[184896008,151053392]),
    [] ).

cnf(483219264,plain,
    ( vertical_3_5
    | ~ vertical_3_4
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[477506592,452109768]),
    [] ).

cnf(453236480,plain,
    ( horizontal_5_3
    | vertical_4_3
    | ~ horizontal_4_1 ),
    inference(resolution,[status(thm)],[453186856,151835184]),
    [] ).

cnf(453675440,plain,
    ( ~ horizontal_5_3
    | horizontal_3_4
    | vertical_2_5 ),
    inference(resolution,[status(thm)],[152108784,452904744]),
    [] ).

cnf(461903896,plain,
    ( vertical_4_3
    | ~ horizontal_4_1
    | horizontal_3_4
    | vertical_2_5 ),
    inference(resolution,[status(thm)],[453236480,453675440]),
    [] ).

cnf(567215696,plain,
    ( vertical_4_3
    | ~ horizontal_4_1
    | vertical_2_5
    | ~ vertical_3_4 ),
    inference(resolution,[status(thm)],[461903896,151751416]),
    [] ).

cnf(569812536,plain,
    ( vertical_4_3
    | ~ horizontal_4_1
    | ~ vertical_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[483219264,567215696,151813464]),
    [] ).

cnf(569842216,plain,
    ( vertical_4_3
    | horizontal_4_2
    | vertical_4_2
    | vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[568239456,569812536,151302312]),
    [] ).

cnf(554321784,plain,
    ( vertical_2_4
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(resolution,[status(thm)],[553021672,151246784]),
    [] ).

cnf(570336408,plain,
    ( vertical_4_3
    | vertical_2_4
    | horizontal_3_3
    | vertical_3_3
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[570290320,151246784]),
    [] ).

cnf(570399968,plain,
    ( vertical_4_3
    | vertical_2_4
    | horizontal_3_3
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[554321784,570336408,151743696]),
    [] ).

cnf(570519384,plain,
    ( vertical_4_3
    | vertical_2_4
    | horizontal_3_3
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[570399968,151960312]),
    [] ).

cnf(565086384,plain,
    ( vertical_4_1
    | vertical_4_3
    | horizontal_3_4
    | vertical_3_4
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[565041168,151262560]),
    [] ).

cnf(565898248,plain,
    ( vertical_4_3
    | horizontal_3_4
    | vertical_3_4
    | vertical_2_4
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[565086384,151852784]),
    [] ).

cnf(569285256,plain,
    ( vertical_4_3
    | horizontal_3_4
    | vertical_2_4
    | ~ vertical_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[547247664,565898248,151779680]),
    [] ).

cnf(569307920,plain,
    ( vertical_4_3
    | horizontal_3_4
    | vertical_2_4
    | horizontal_4_1
    | vertical_4_1 ),
    inference(resolution,[status(thm)],[569285256,151290720]),
    [] ).

cnf(569342144,plain,
    ( vertical_4_3
    | horizontal_3_4
    | vertical_2_4
    | vertical_4_1
    | ~ horizontal_4_2 ),
    inference(resolution,[status(thm)],[569307920,151875176]),
    [] ).

cnf(571595008,plain,
    ( vertical_4_3
    | vertical_2_4
    | vertical_4_1
    | ~ horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[570519384,569342144,151761584]),
    [] ).

cnf(571637672,plain,
    ( vertical_4_3
    | vertical_4_1
    | ~ horizontal_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[564673344,571595008,151785600]),
    [] ).

cnf(571672456,plain,
    ( vertical_4_3
    | vertical_4_1
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference(resolution,[status(thm)],[571637672,151302312]),
    [] ).

cnf(571748344,plain,
    ( vertical_4_3
    | vertical_4_1
    | vertical_4_2
    | vertical_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[569842216,571672456,151875176]),
    [] ).

cnf(571768976,plain,
    ( vertical_4_3
    | vertical_4_2
    | vertical_3_2
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[571748344,452216080]),
    [] ).

cnf(571790936,plain,
    ( vertical_4_2
    | vertical_3_2
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[458012280,571768976,151944480]),
    [] ).

cnf(578312352,plain,
    ( vertical_3_2
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[458012280,571790936,151864528]),
    [] ).

cnf(550452608,plain,
    ( ~ vertical_3_1
    | ~ horizontal_3_3
    | vertical_2_2 ),
    inference(resolution,[status(thm)],[550420888,450850960]),
    [] ).

cnf(550514216,plain,
    ( ~ vertical_3_1
    | vertical_2_2
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[550452608,151246784]),
    [] ).

cnf(550880480,plain,
    ( ~ vertical_3_1
    | vertical_2_2
    | vertical_3_3
    | horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[450917712,550514216,151715736]),
    [] ).

cnf(550908872,plain,
    ( ~ vertical_3_1
    | vertical_3_3
    | horizontal_3_2
    | ~ horizontal_2_2 ),
    inference(resolution,[status(thm)],[550880480,151053392]),
    [] ).

cnf(551208184,plain,
    ( vertical_3_3
    | horizontal_3_2
    | ~ horizontal_2_2
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[550908872,450686776]),
    [] ).

cnf(580957576,plain,
    ( vertical_3_3
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451460184,578312352,551208184,151642128]),
    [] ).

cnf(564683960,plain,
    ( vertical_3_4
    | vertical_4_1
    | vertical_4_3
    | ~ vertical_3_3 ),
    inference(resolution,[status(thm)],[564511584,151932832]),
    [] ).

cnf(565351248,plain,
    ( vertical_3_4
    | vertical_4_1
    | vertical_4_3
    | horizontal_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,[status(thm)],[564683960,151246784]),
    [] ).

fof(unique_cover5_3_3,plain,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151733496,plain,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    inference(rewrite,[status(thm)],[unique_cover5_3_3]),
    [] ).

cnf(568498688,plain,
    ( vertical_3_4
    | vertical_4_1
    | vertical_4_3
    | horizontal_3_3
    | horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[566178464,565351248,151733496]),
    [] ).

cnf(568491240,plain,
    ( vertical_3_4
    | vertical_4_1
    | vertical_4_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[565076480,565351248,151698912]),
    [] ).

cnf(568537576,plain,
    ( vertical_3_4
    | vertical_4_1
    | vertical_4_3
    | horizontal_3_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[568498688,568491240,151715736]),
    [] ).

cnf(568587112,plain,
    ( vertical_3_4
    | vertical_4_3
    | horizontal_3_2
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[568537576,452216080]),
    [] ).

cnf(567602408,plain,
    ( vertical_4_3
    | ~ horizontal_3_4
    | ~ vertical_3_1
    | ~ vertical_3_3 ),
    inference(resolution,[status(thm)],[564976048,151932832]),
    [] ).

cnf(572795240,plain,
    ( vertical_4_3
    | ~ vertical_3_1
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[570399968,567602408,151262560]),
    [] ).

cnf(572810136,plain,
    ( vertical_4_3
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4
    | horizontal_3_1 ),
    inference(resolution,[status(thm)],[572795240,450686776]),
    [] ).

cnf(572869200,plain,
    ( vertical_4_3
    | vertical_3_4
    | vertical_2_4
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[568587112,572810136,151705568]),
    [] ).

cnf(572908008,plain,
    ( vertical_4_3
    | vertical_2_4
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[565974120,572869200,151751416]),
    [] ).

cnf(568649696,plain,
    ( vertical_4_3
    | horizontal_3_2
    | horizontal_3_1
    | ~ vertical_2_4 ),
    inference(resolution,[status(thm)],[568587112,151785600]),
    [] ).

cnf(573737072,plain,
    ~ horizontal_3_2,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[467156168,573705440,151944480]),
    [] ).

cnf(581332840,plain,
    ( vertical_4_3
    | horizontal_3_1 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[572908008,568649696,573737072]),
    [] ).

cnf(581382416,plain,
    horizontal_3_1,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[580957576,581332840,151950272]),
    [] ).

cnf(581388720,plain,
    ~ vertical_3_1,
    inference(resolution,[status(thm)],[151612304,581382416]),
    [] ).

cnf(581408264,plain,
    ( horizontal_4_1
    | vertical_4_1 ),
    inference(resolution,[status(thm)],[151290720,581388720]),
    [] ).

cnf(582191968,plain,
    ( ~ vertical_2_4
    | vertical_4_1 ),
    inference(resolution,[status(thm)],[581913592,581408264]),
    [] ).

cnf(582229648,plain,
    ( ~ vertical_2_4
    | ~ horizontal_5_1 ),
    inference(resolution,[status(thm)],[582191968,152046408]),
    [] ).

fof(covered_5_2,plain,
    ( horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151373632,plain,
    ( horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference(rewrite,[status(thm)],[covered_5_2]),
    [] ).

cnf(582373888,plain,
    ( ~ vertical_2_4
    | horizontal_5_2
    | vertical_4_2 ),
    inference(resolution,[status(thm)],[582229648,151373632]),
    [] ).

cnf(582463936,plain,
    ( ~ vertical_2_4
    | vertical_4_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[574078144,582373888,152053216]),
    [] ).

cnf(582509672,plain,
    ( ~ vertical_2_4
    | ~ horizontal_5_2 ),
    inference(resolution,[status(thm)],[582463936,152063128]),
    [] ).

cnf(582548680,plain,
    ( ~ vertical_2_4
    | horizontal_5_3
    | vertical_4_3 ),
    inference(resolution,[status(thm)],[582509672,151387584]),
    [] ).

cnf(582629128,plain,
    ( ~ vertical_2_4
    | horizontal_5_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[573853680,582548680,151950272]),
    [] ).

cnf(582670544,plain,
    ( ~ vertical_2_4
    | vertical_4_5 ),
    inference(resolution,[status(thm)],[582629128,453636416]),
    [] ).

cnf(451930336,plain,
    ( ~ vertical_2_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_3 ),
    inference(resolution,[status(thm)],[151785600,151337696]),
    [] ).

cnf(511179912,plain,
    ( vertical_3_5
    | ~ horizontal_4_3 ),
    inference(resolution,[status(thm)],[511073448,151926912]),
    [] ).

cnf(453247720,plain,
    ( horizontal_5_3
    | vertical_4_3
    | ~ vertical_3_1 ),
    inference(resolution,[status(thm)],[453186856,151852784]),
    [] ).

cnf(453667160,plain,
    ( ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(resolution,[status(thm)],[152108784,452871040]),
    [] ).

cnf(461741960,plain,
    ( vertical_4_3
    | ~ vertical_3_1
    | ~ vertical_3_5 ),
    inference(resolution,[status(thm)],[453247720,453667160]),
    [] ).

cnf(546210408,plain,
    ( vertical_4_3
    | ~ vertical_3_5
    | horizontal_3_3
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[461741960,455520680]),
    [] ).

cnf(570782688,plain,
    ( vertical_4_3
    | horizontal_3_3
    | ~ horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[511179912,546210408,151932832]),
    [] ).

cnf(570798320,plain,
    ( vertical_4_3
    | horizontal_3_3
    | horizontal_4_4
    | vertical_4_4
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[570782688,151337696]),
    [] ).

cnf(570958808,plain,
    ( vertical_4_3
    | horizontal_4_4
    | vertical_4_4
    | vertical_3_4
    | ~ vertical_2_4 ),
    inference(resolution,[status(thm)],[570798320,151795768]),
    [] ).

cnf(570948008,plain,
    ( vertical_4_3
    | horizontal_3_3
    | horizontal_4_4
    | vertical_4_4
    | ~ vertical_2_4 ),
    inference(resolution,[status(thm)],[570798320,151785600]),
    [] ).

cnf(572323744,plain,
    ( vertical_4_3
    | horizontal_4_4
    | vertical_4_4
    | ~ vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[570958808,570948008,151779680]),
    [] ).

cnf(572359184,plain,
    ( horizontal_4_4
    | vertical_4_4
    | ~ vertical_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451930336,572323744,151916296]),
    [] ).

cnf(581890632,plain,
    ( vertical_4_4
    | ~ vertical_2_4
    | ~ vertical_4_5 ),
    inference(resolution,[status(thm)],[572359184,152022768]),
    [] ).

cnf(583380848,plain,
    ~ vertical_2_4,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[582629128,582670544,581890632,152124360]),
    [] ).

cnf(450694928,plain,
    ( ~ vertical_1_4
    | vertical_1_5 ),
    inference(resolution,[status(thm)],[151419976,151132888]),
    [] ).

cnf(450747944,plain,
    ( vertical_1_5
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_3 ),
    inference(resolution,[status(thm)],[450694928,151190888]),
    [] ).

cnf(583410456,plain,
    ( vertical_1_5
    | horizontal_2_4
    | horizontal_2_3 ),
    inference(resolution,[status(thm)],[583380848,450747944]),
    [] ).

cnf(456282680,plain,
    ( horizontal_4_2
    | vertical_1_5
    | horizontal_2_4
    | vertical_2_4 ),
    inference(resolution,[status(thm)],[456092080,450747944]),
    [] ).

fof(unique_cover4_2_4,plain,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),
    [] ).

cnf(151559928,plain,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    inference(rewrite,[status(thm)],[unique_cover4_2_4]),
    [] ).

cnf(597982616,plain,
    ( horizontal_4_2
    | vertical_1_5
    | horizontal_2_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[583410456,456282680,151559928]),
    [] ).

cnf(598038000,plain,
    ( horizontal_4_2
    | horizontal_2_4
    | ~ vertical_2_5 ),
    inference(resolution,[status(thm)],[597982616,151594352]),
    [] ).

cnf(583395040,plain,
    ( horizontal_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[583380848,151190888]),
    [] ).

cnf(456225184,plain,
    ( horizontal_4_2
    | horizontal_2_4
    | vertical_2_4
    | vertical_1_4 ),
    inference(resolution,[status(thm)],[456080656,450879328]),
    [] ).

cnf(597970640,plain,
    ( horizontal_4_2
    | horizontal_2_4
    | vertical_1_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[583395040,456225184,151559928]),
    [] ).

cnf(598001832,plain,
    ( horizontal_4_2
    | vertical_1_4
    | ~ vertical_2_5 ),
    inference(resolution,[status(thm)],[597970640,151584184]),
    [] ).

cnf(598099128,plain,
    ( horizontal_4_2
    | ~ vertical_2_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[598038000,598001832,151547992]),
    [] ).

cnf(598119464,plain,
    ( horizontal_4_2
    | vertical_3_5
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[598099128,151054032]),
    [] ).

cnf(156275288,plain,
    ( ~ vertical_4_1
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[151852784,451560104]),
    [] ).

cnf(564619920,plain,
    ( horizontal_4_3
    | vertical_3_4
    | vertical_4_3
    | horizontal_2_2 ),
    inference(resolution,[status(thm)],[564511584,156275288]),
    [] ).

cnf(564853648,plain,
    ( vertical_3_4
    | vertical_4_3
    | horizontal_2_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[456009016,564619920,151926912]),
    [] ).

cnf(566045912,plain,
    ( vertical_4_3
    | horizontal_3_4
    | horizontal_2_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[564853648,566004272,151785600]),
    [] ).

cnf(566064696,plain,
    ( vertical_4_3
    | horizontal_2_2 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[566045912,566039552,151053048]),
    [] ).

cnf(566077912,plain,
    horizontal_2_2,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[456009016,566064696,151944480]),
    [] ).

cnf(593459752,plain,
    ( vertical_2_2
    | horizontal_2_4
    | vertical_1_4
    | vertical_3_3 ),
    inference(resolution,[status(thm)],[454527864,573820552]),
    [] ).

cnf(593478920,plain,
    ( horizontal_2_4
    | vertical_1_4
    | vertical_3_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[566077912,593459752,151053392]),
    [] ).

cnf(593488424,plain,
    ( horizontal_2_4
    | vertical_3_3
    | ~ horizontal_1_4 ),
    inference(resolution,[status(thm)],[593478920,151419976]),
    [] ).

cnf(598431360,plain,
    ( vertical_3_3
    | ~ vertical_2_5 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[451212616,593488424,151584184]),
    [] ).

cnf(598444952,plain,
    ( vertical_3_3
    | vertical_3_5
    | horizontal_3_4 ),
    inference(resolution,[status(thm)],[598431360,151054032]),
    [] ).

cnf(605688928,plain,
    ( vertical_3_5
    | horizontal_3_4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[598119464,598444952,151960312]),
    [] ).

cnf(614975472,plain,
    ~ horizontal_5_4,
    inference(resolution,[status(thm)],[152108784,614946208]),
    [] ).

cnf(615051968,plain,
    ( horizontal_3_4
    | vertical_2_5 ),
    inference(resolution,[status(thm)],[452904744,614975472]),
    [] ).

cnf(615107992,plain,
    horizontal_3_4,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[605688928,151813464,615051968]),
    [] ).

cnf(451811328,plain,
    ( ~ horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_3 ),
    inference(resolution,[status(thm)],[151751416,151337696]),
    [] ).

cnf(617089280,plain,
    ( vertical_4_4
    | horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[615073560,615107992,451811328,151987856]),
    [] ).

cnf(614985112,plain,
    ~ vertical_4_4,
    inference(resolution,[status(thm)],[152124360,614946208]),
    [] ).

cnf(615067336,plain,
    ( horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(resolution,[status(thm)],[151337696,614985112]),
    [] ).

cnf(617093992,plain,
    ( horizontal_4_4
    | horizontal_4_3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[615067336,615107992,451811328,152005232]),
    [] ).

cnf(618687312,plain,
    horizontal_4_3,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[617089280,617093992,151971960]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[612159688,151932832,618687312]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 15 seconds
% START OF PROOF SEQUENCE
% fof(unique_cover5_4_3,plain,(~vertical_4_3|~vertical_3_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151950272,plain,(~vertical_4_3|~vertical_3_3),inference(rewrite,[status(thm)],[unique_cover5_4_3]),[]).
% 
% fof(unique_cover4_2_3,plain,(~vertical_2_3|~horizontal_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151519520,plain,(~vertical_2_3|~horizontal_2_2),inference(rewrite,[status(thm)],[unique_cover4_2_3]),[]).
% 
% fof(unique_cover3_2_1,plain,(~horizontal_2_1|~vertical_1_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151445736,plain,(~horizontal_2_1|~vertical_1_1),inference(rewrite,[status(thm)],[unique_cover3_2_1]),[]).
% 
% fof(covered_1_1,plain,(horizontal_1_1|vertical_1_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151055264,plain,(horizontal_1_1|vertical_1_1),inference(rewrite,[status(thm)],[covered_1_1]),[]).
% 
% fof(uncovered3_1_2,plain,(~horizontal_1_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151097824,plain,(~horizontal_1_1),inference(rewrite,[status(thm)],[uncovered3_1_2]),[]).
% 
% cnf(450660560,plain,(vertical_1_1),inference(resolution,[status(thm)],[151055264,151097824]),[]).
% 
% cnf(450670744,plain,(~horizontal_2_1),inference(resolution,[status(thm)],[151445736,450660560]),[]).
% 
% fof(covered_2_2,plain,(horizontal_2_2|vertical_2_2|horizontal_2_1|vertical_1_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151054752,plain,(horizontal_2_2|vertical_2_2|horizontal_2_1|vertical_1_2),inference(rewrite,[status(thm)],[covered_2_2]),[]).
% 
% fof(uncovered2_1_2,plain,(~vertical_1_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151076400,plain,(~vertical_1_2),inference(rewrite,[status(thm)],[uncovered2_1_2]),[]).
% 
% cnf(155013568,plain,(horizontal_2_2|vertical_2_2|horizontal_2_1),inference(resolution,[status(thm)],[151054752,151076400]),[]).
% 
% cnf(450737552,plain,(horizontal_2_2|vertical_2_2),inference(resolution,[status(thm)],[450670744,155013568]),[]).
% 
% cnf(450891048,plain,(~vertical_2_3|vertical_2_2),inference(resolution,[status(thm)],[151519520,450737552]),[]).
% 
% fof(covered_3_3,plain,(horizontal_3_3|vertical_3_3|horizontal_3_2|vertical_2_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151246784,plain,(horizontal_3_3|vertical_3_3|horizontal_3_2|vertical_2_3),inference(rewrite,[status(thm)],[covered_3_3]),[]).
% 
% cnf(450917712,plain,(vertical_2_2|horizontal_3_3|vertical_3_3|horizontal_3_2),inference(resolution,[status(thm)],[450891048,151246784]),[]).
% 
% fof(unique_cover1_3_2,plain,(~horizontal_3_2|~vertical_3_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151642128,plain,(~horizontal_3_2|~vertical_3_2),inference(rewrite,[status(thm)],[unique_cover1_3_2]),[]).
% 
% cnf(454561384,plain,(vertical_2_2|horizontal_3_3|vertical_3_3|~vertical_3_2),inference(resolution,[status(thm)],[450917712,151642128]),[]).
% 
% fof(unique_cover3_4_1,plain,(~horizontal_4_1|~vertical_3_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151845320,plain,(~horizontal_4_1|~vertical_3_1),inference(rewrite,[status(thm)],[unique_cover3_4_1]),[]).
% 
% fof(covered_3_1,plain,(horizontal_3_1|vertical_3_1|vertical_2_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151219224,plain,(horizontal_3_1|vertical_3_1|vertical_2_1),inference(rewrite,[status(thm)],[covered_3_1]),[]).
% 
% fof(unique_cover5_2_1,plain,(~vertical_2_1|~vertical_1_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151457640,plain,(~vertical_2_1|~vertical_1_1),inference(rewrite,[status(thm)],[unique_cover5_2_1]),[]).
% 
% cnf(450676736,plain,(~vertical_2_1),inference(resolution,[status(thm)],[151457640,450660560]),[]).
% 
% cnf(450686776,plain,(horizontal_3_1|vertical_3_1),inference(resolution,[status(thm)],[151219224,450676736]),[]).
% 
% cnf(452094224,plain,(~horizontal_4_1|horizontal_3_1),inference(resolution,[status(thm)],[151845320,450686776]),[]).
% 
% fof(covered_4_2,plain,(horizontal_4_2|vertical_4_2|horizontal_4_1|vertical_3_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151302312,plain,(horizontal_4_2|vertical_4_2|horizontal_4_1|vertical_3_2),inference(rewrite,[status(thm)],[covered_4_2]),[]).
% 
% cnf(452178432,plain,(horizontal_3_1|horizontal_4_2|vertical_4_2|vertical_3_2),inference(resolution,[status(thm)],[452094224,151302312]),[]).
% 
% fof(unique_cover6_5_2,plain,(~horizontal_5_1|~vertical_4_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152073584,plain,(~horizontal_5_1|~vertical_4_2),inference(rewrite,[status(thm)],[unique_cover6_5_2]),[]).
% 
% fof(unique_cover5_4_1,plain,(~vertical_4_1|~vertical_3_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151852784,plain,(~vertical_4_1|~vertical_3_1),inference(rewrite,[status(thm)],[unique_cover5_4_1]),[]).
% 
% fof(covered_5_1,plain,(horizontal_5_1|vertical_4_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151359768,plain,(horizontal_5_1|vertical_4_1),inference(rewrite,[status(thm)],[covered_5_1]),[]).
% 
% cnf(452205248,plain,(~vertical_3_1|horizontal_5_1),inference(resolution,[status(thm)],[151852784,151359768]),[]).
% 
% cnf(452284640,plain,(horizontal_5_1|horizontal_3_1),inference(resolution,[status(thm)],[452205248,450686776]),[]).
% 
% cnf(453435904,plain,(~vertical_4_2|horizontal_3_1),inference(resolution,[status(thm)],[152073584,452284640]),[]).
% 
% cnf(458012280,plain,(horizontal_3_1|horizontal_4_2|vertical_3_2),inference(resolution,[status(thm)],[452178432,453435904]),[]).
% 
% cnf(478559032,plain,(vertical_2_2|horizontal_3_3|vertical_3_3|horizontal_3_1|horizontal_4_2),inference(resolution,[status(thm)],[454561384,458012280]),[]).
% 
% fof(unique_cover5_3_2,plain,(~vertical_3_2|~vertical_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151676840,plain,(~vertical_3_2|~vertical_2_2),inference(rewrite,[status(thm)],[unique_cover5_3_2]),[]).
% 
% cnf(451460184,plain,(~vertical_3_2|horizontal_2_2),inference(resolution,[status(thm)],[151676840,450737552]),[]).
% 
% cnf(451508008,plain,(horizontal_2_2|horizontal_4_2|vertical_4_2|horizontal_4_1),inference(resolution,[status(thm)],[451460184,151302312]),[]).
% 
% fof(unique_cover6_3_2,plain,(~horizontal_3_1|~vertical_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151687072,plain,(~horizontal_3_1|~vertical_2_2),inference(rewrite,[status(thm)],[unique_cover6_3_2]),[]).
% 
% cnf(451518568,plain,(~vertical_2_2|vertical_3_1),inference(resolution,[status(thm)],[151687072,450686776]),[]).
% 
% cnf(451560104,plain,(vertical_3_1|horizontal_2_2),inference(resolution,[status(thm)],[451518568,450737552]),[]).
% 
% cnf(452109768,plain,(~horizontal_4_1|horizontal_2_2),inference(resolution,[status(thm)],[151845320,451560104]),[]).
% 
% cnf(455954120,plain,(horizontal_2_2|horizontal_4_2|vertical_4_2),inference(resolution,[status(thm)],[451508008,452109768]),[]).
% 
% cnf(452291840,plain,(horizontal_5_1|horizontal_2_2),inference(resolution,[status(thm)],[452205248,451560104]),[]).
% 
% cnf(453442448,plain,(~vertical_4_2|horizontal_2_2),inference(resolution,[status(thm)],[152073584,452291840]),[]).
% 
% cnf(456009016,plain,(horizontal_2_2|horizontal_4_2),inference(resolution,[status(thm)],[455954120,453442448]),[]).
% 
% fof(unique_cover1_2_2,plain,(~horizontal_2_2|~vertical_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151053392,plain,(~horizontal_2_2|~vertical_2_2),inference(rewrite,[status(thm)],[unique_cover1_2_2]),[]).
% 
% cnf(456080656,plain,(horizontal_4_2|~vertical_2_2),inference(resolution,[status(thm)],[456009016,151053392]),[]).
% 
% cnf(478617784,plain,(horizontal_3_3|vertical_3_3|horizontal_3_1|horizontal_4_2),inference(resolution,[status(thm)],[478559032,456080656]),[]).
% 
% fof(unique_cover2_3_2,plain,(~horizontal_3_2|~horizontal_3_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151652904,plain,(~horizontal_3_2|~horizontal_3_1),inference(rewrite,[status(thm)],[unique_cover2_3_2]),[]).
% 
% cnf(454568176,plain,(vertical_2_2|horizontal_3_3|vertical_3_3|~horizontal_3_1),inference(resolution,[status(thm)],[450917712,151652904]),[]).
% 
% cnf(480304696,plain,(horizontal_3_3|vertical_3_3|horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[478617784,454568176,456080656]),[]).
% 
% cnf(451577696,plain,(vertical_3_1|~vertical_2_3),inference(resolution,[status(thm)],[451518568,450891048]),[]).
% 
% fof(unique_cover4_4_3,plain,(~vertical_4_3|~horizontal_4_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151944480,plain,(~vertical_4_3|~horizontal_4_2),inference(rewrite,[status(thm)],[unique_cover4_4_3]),[]).
% 
% cnf(456118136,plain,(horizontal_2_2|~vertical_4_3),inference(resolution,[status(thm)],[456009016,151944480]),[]).
% 
% fof(unique_cover2_5_2,plain,(~horizontal_5_2|~horizontal_5_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152053216,plain,(~horizontal_5_2|~horizontal_5_1),inference(rewrite,[status(thm)],[unique_cover2_5_2]),[]).
% 
% cnf(453092776,plain,(~horizontal_5_2|horizontal_2_2),inference(resolution,[status(thm)],[152053216,452291840]),[]).
% 
% fof(covered_5_3,plain,(horizontal_5_3|horizontal_5_2|vertical_4_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151387584,plain,(horizontal_5_3|horizontal_5_2|vertical_4_3),inference(rewrite,[status(thm)],[covered_5_3]),[]).
% 
% cnf(453218632,plain,(horizontal_2_2|horizontal_5_3|vertical_4_3),inference(resolution,[status(thm)],[453092776,151387584]),[]).
% 
% cnf(456369568,plain,(horizontal_2_2|horizontal_5_3),inference(resolution,[status(thm)],[456118136,453218632]),[]).
% 
% fof(unique_cover6_5_4,plain,(~horizontal_5_3|~vertical_4_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152124360,plain,(~horizontal_5_3|~vertical_4_4),inference(rewrite,[status(thm)],[unique_cover6_5_4]),[]).
% 
% cnf(456456624,plain,(horizontal_2_2|~vertical_4_4),inference(resolution,[status(thm)],[456369568,152124360]),[]).
% 
% fof(covered_4_4,plain,(horizontal_4_4|vertical_4_4|horizontal_4_3|vertical_3_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151337696,plain,(horizontal_4_4|vertical_4_4|horizontal_4_3|vertical_3_4),inference(rewrite,[status(thm)],[covered_4_4]),[]).
% 
% cnf(456768928,plain,(horizontal_2_2|horizontal_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[456456624,151337696]),[]).
% 
% fof(unique_cover2_5_4,plain,(~horizontal_5_4|~horizontal_5_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152108784,plain,(~horizontal_5_4|~horizontal_5_3),inference(rewrite,[status(thm)],[unique_cover2_5_4]),[]).
% 
% fof(covered_5_5,plain,(horizontal_5_4|vertical_4_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151407784,plain,(horizontal_5_4|vertical_4_5),inference(rewrite,[status(thm)],[covered_5_5]),[]).
% 
% cnf(453636416,plain,(~horizontal_5_3|vertical_4_5),inference(resolution,[status(thm)],[152108784,151407784]),[]).
% 
% cnf(453764616,plain,(vertical_4_5|horizontal_2_2|vertical_4_3),inference(resolution,[status(thm)],[453636416,453218632]),[]).
% 
% cnf(456404440,plain,(horizontal_2_2|vertical_4_5),inference(resolution,[status(thm)],[456118136,453764616]),[]).
% 
% fof(unique_cover5_4_5,plain,(~vertical_4_5|~vertical_3_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152029176,plain,(~vertical_4_5|~vertical_3_5),inference(rewrite,[status(thm)],[unique_cover5_4_5]),[]).
% 
% cnf(456502216,plain,(horizontal_2_2|~vertical_3_5),inference(resolution,[status(thm)],[456404440,152029176]),[]).
% 
% fof(unique_cover5_2_5,plain,(~vertical_2_5|~vertical_1_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151594352,plain,(~vertical_2_5|~vertical_1_5),inference(rewrite,[status(thm)],[unique_cover5_2_5]),[]).
% 
% fof(covered_1_5,plain,(vertical_1_5|horizontal_1_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151132888,plain,(vertical_1_5|horizontal_1_4),inference(rewrite,[status(thm)],[covered_1_5]),[]).
% 
% cnf(451212616,plain,(~vertical_2_5|horizontal_1_4),inference(resolution,[status(thm)],[151594352,151132888]),[]).
% 
% fof(covered_3_5,plain,(vertical_3_5|horizontal_3_4|vertical_2_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151054032,plain,(vertical_3_5|horizontal_3_4|vertical_2_5),inference(rewrite,[status(thm)],[covered_3_5]),[]).
% 
% cnf(451251968,plain,(horizontal_1_4|vertical_3_5|horizontal_3_4),inference(resolution,[status(thm)],[451212616,151054032]),[]).
% 
% fof(unique_cover1_1_4,plain,(~horizontal_1_4|~vertical_1_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151419976,plain,(~horizontal_1_4|~vertical_1_4),inference(rewrite,[status(thm)],[unique_cover1_1_4]),[]).
% 
% cnf(451261800,plain,(vertical_3_5|horizontal_3_4|~vertical_1_4),inference(resolution,[status(thm)],[451251968,151419976]),[]).
% 
% cnf(456949104,plain,(horizontal_2_2|horizontal_3_4|~vertical_1_4),inference(resolution,[status(thm)],[456502216,451261800]),[]).
% 
% fof(unique_cover1_3_4,plain,(~horizontal_3_4|~vertical_3_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151751416,plain,(~horizontal_3_4|~vertical_3_4),inference(rewrite,[status(thm)],[unique_cover1_3_4]),[]).
% 
% cnf(508955912,plain,(horizontal_2_2|~vertical_1_4|~vertical_3_4),inference(resolution,[status(thm)],[456949104,151751416]),[]).
% 
% cnf(509110440,plain,(horizontal_2_2|~vertical_1_4|horizontal_4_4|vertical_4_4|horizontal_4_3),inference(resolution,[status(thm)],[508955912,151337696]),[]).
% 
% fof(unique_cover5_4_4,plain,(~vertical_4_4|~vertical_3_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152005232,plain,(~vertical_4_4|~vertical_3_4),inference(rewrite,[status(thm)],[unique_cover5_4_4]),[]).
% 
% cnf(511558624,plain,(horizontal_2_2|~vertical_1_4|horizontal_4_4|horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[456768928,509110440,152005232]),[]).
% 
% fof(unique_cover2_4_3,plain,(~horizontal_4_3|~horizontal_4_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151926912,plain,(~horizontal_4_3|~horizontal_4_2),inference(rewrite,[status(thm)],[unique_cover2_4_3]),[]).
% 
% cnf(456111680,plain,(horizontal_2_2|~horizontal_4_3),inference(resolution,[status(thm)],[456009016,151926912]),[]).
% 
% cnf(511536944,plain,(horizontal_2_2|~vertical_1_4|horizontal_4_4|vertical_4_4),inference(resolution,[status(thm)],[509110440,456111680]),[]).
% 
% fof(unique_cover4_4_4,plain,(~vertical_4_4|~horizontal_4_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151995384,plain,(~vertical_4_4|~horizontal_4_3),inference(rewrite,[status(thm)],[unique_cover4_4_4]),[]).
% 
% cnf(511646128,plain,(horizontal_2_2|~vertical_1_4|horizontal_4_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[511558624,511536944,151995384]),[]).
% 
% fof(unique_cover4_4_5,plain,(~vertical_4_5|~horizontal_4_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152022768,plain,(~vertical_4_5|~horizontal_4_4),inference(rewrite,[status(thm)],[unique_cover4_4_5]),[]).
% 
% cnf(456491608,plain,(horizontal_2_2|~horizontal_4_4),inference(resolution,[status(thm)],[456404440,152022768]),[]).
% 
% cnf(456909192,plain,(horizontal_2_2|vertical_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[456491608,151337696]),[]).
% 
% fof(unique_cover3_4_4,plain,(~horizontal_4_4|~vertical_3_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151987856,plain,(~horizontal_4_4|~vertical_3_4),inference(rewrite,[status(thm)],[unique_cover3_4_4]),[]).
% 
% cnf(511546720,plain,(horizontal_2_2|~vertical_1_4|vertical_4_4|horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[456909192,509110440,151987856]),[]).
% 
% fof(unique_cover2_4_4,plain,(~horizontal_4_4|~horizontal_4_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151977880,plain,(~horizontal_4_4|~horizontal_4_3),inference(rewrite,[status(thm)],[unique_cover2_4_4]),[]).
% 
% cnf(511635360,plain,(horizontal_2_2|~vertical_1_4|vertical_4_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[511546720,511536944,151977880]),[]).
% 
% fof(unique_cover1_4_4,plain,(~horizontal_4_4|~vertical_4_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151971960,plain,(~horizontal_4_4|~vertical_4_4),inference(rewrite,[status(thm)],[unique_cover1_4_4]),[]).
% 
% cnf(511716504,plain,(horizontal_2_2|~vertical_1_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[511646128,511635360,151971960]),[]).
% 
% cnf(511759680,plain,(~vertical_1_4|~vertical_2_2),inference(resolution,[status(thm)],[511716504,151053392]),[]).
% 
% fof(covered_1_4,plain,(horizontal_1_4|vertical_1_4|horizontal_1_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151120288,plain,(horizontal_1_4|vertical_1_4|horizontal_1_3),inference(rewrite,[status(thm)],[covered_1_4]),[]).
% 
% fof(uncovered1_1_3,plain,(~horizontal_1_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151065312,plain,(~horizontal_1_3),inference(rewrite,[status(thm)],[uncovered1_1_3]),[]).
% 
% cnf(155013408,plain,(horizontal_1_4|vertical_1_4),inference(resolution,[status(thm)],[151120288,151065312]),[]).
% 
% cnf(511790600,plain,(~vertical_2_2|horizontal_1_4),inference(resolution,[status(thm)],[511759680,155013408]),[]).
% 
% fof(unique_cover4_2_5,plain,(~vertical_2_5|~horizontal_2_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151584184,plain,(~vertical_2_5|~horizontal_2_4),inference(rewrite,[status(thm)],[unique_cover4_2_5]),[]).
% 
% cnf(451182840,plain,(~horizontal_2_4|vertical_3_5|horizontal_3_4),inference(resolution,[status(thm)],[151584184,151054032]),[]).
% 
% cnf(456930680,plain,(horizontal_2_2|~horizontal_2_4|horizontal_3_4),inference(resolution,[status(thm)],[456502216,451182840]),[]).
% 
% cnf(464922192,plain,(horizontal_2_2|~horizontal_2_4|~vertical_3_4),inference(resolution,[status(thm)],[456930680,151751416]),[]).
% 
% cnf(483856464,plain,(horizontal_2_2|~horizontal_2_4|horizontal_4_4|vertical_4_4|horizontal_4_3),inference(resolution,[status(thm)],[464922192,151337696]),[]).
% 
% cnf(485417024,plain,(horizontal_2_2|~horizontal_2_4|horizontal_4_4|horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[456768928,483856464,152005232]),[]).
% 
% cnf(485393904,plain,(horizontal_2_2|~horizontal_2_4|horizontal_4_4|vertical_4_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[456009016,483856464,151926912]),[]).
% 
% cnf(485502488,plain,(horizontal_2_2|~horizontal_2_4|horizontal_4_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[485417024,485393904,151995384]),[]).
% 
% cnf(485404824,plain,(horizontal_2_2|~horizontal_2_4|vertical_4_4|horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[456909192,483856464,151987856]),[]).
% 
% cnf(485491720,plain,(horizontal_2_2|~horizontal_2_4|vertical_4_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[485404824,485393904,151977880]),[]).
% 
% cnf(485565560,plain,(horizontal_2_2|~horizontal_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[485502488,485491720,151971960]),[]).
% 
% cnf(485606048,plain,(~horizontal_2_4|~vertical_2_2),inference(resolution,[status(thm)],[485565560,151053392]),[]).
% 
% fof(covered_2_4,plain,(horizontal_2_4|vertical_2_4|horizontal_2_3|vertical_1_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151190888,plain,(horizontal_2_4|vertical_2_4|horizontal_2_3|vertical_1_4),inference(rewrite,[status(thm)],[covered_2_4]),[]).
% 
% cnf(485658768,plain,(~vertical_2_2|vertical_2_4|horizontal_2_3|vertical_1_4),inference(resolution,[status(thm)],[485606048,151190888]),[]).
% 
% cnf(552974944,plain,(~vertical_2_2|vertical_2_4|horizontal_2_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[511790600,485658768,151419976]),[]).
% 
% fof(unique_cover1_2_3,plain,(~horizontal_2_3|~vertical_2_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151500680,plain,(~horizontal_2_3|~vertical_2_3),inference(rewrite,[status(thm)],[unique_cover1_2_3]),[]).
% 
% cnf(553021672,plain,(vertical_2_4|~vertical_2_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[450891048,552974944,151500680]),[]).
% 
% cnf(453074976,plain,(~horizontal_5_2|vertical_4_1),inference(resolution,[status(thm)],[152053216,151359768]),[]).
% 
% cnf(453186856,plain,(vertical_4_1|horizontal_5_3|vertical_4_3),inference(resolution,[status(thm)],[453074976,151387584]),[]).
% 
% cnf(454143352,plain,(~vertical_4_4|vertical_4_1|vertical_4_3),inference(resolution,[status(thm)],[152124360,453186856]),[]).
% 
% cnf(463645688,plain,(horizontal_4_4|horizontal_4_3|vertical_3_4|vertical_4_1|vertical_4_3),inference(resolution,[status(thm)],[151337696,454143352]),[]).
% 
% cnf(452834032,plain,(~horizontal_4_4|horizontal_5_4),inference(resolution,[status(thm)],[152022768,151407784]),[]).
% 
% cnf(452859896,plain,(horizontal_5_4|vertical_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[452834032,151337696]),[]).
% 
% cnf(453701200,plain,(~horizontal_5_4|vertical_4_1|vertical_4_3),inference(resolution,[status(thm)],[152108784,453186856]),[]).
% 
% cnf(462215512,plain,(vertical_4_4|horizontal_4_3|vertical_3_4|vertical_4_1|vertical_4_3),inference(resolution,[status(thm)],[452859896,453701200]),[]).
% 
% cnf(564511584,plain,(horizontal_4_3|vertical_3_4|vertical_4_1|vertical_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[463645688,462215512,151971960]),[]).
% 
% cnf(564673344,plain,(vertical_3_4|vertical_4_1|vertical_4_3|~horizontal_4_2),inference(resolution,[status(thm)],[564511584,151926912]),[]).
% 
% cnf(456098640,plain,(horizontal_4_2|~vertical_2_3),inference(resolution,[status(thm)],[456009016,151519520]),[]).
% 
% cnf(565310200,plain,(vertical_3_4|vertical_4_1|vertical_4_3|~vertical_2_3),inference(resolution,[status(thm)],[564673344,456098640]),[]).
% 
% fof(unique_cover5_3_4,plain,(~vertical_3_4|~vertical_2_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151785600,plain,(~vertical_3_4|~vertical_2_4),inference(rewrite,[status(thm)],[unique_cover5_3_4]),[]).
% 
% cnf(566119600,plain,(vertical_4_1|vertical_4_3|~vertical_2_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[553021672,565310200,151785600]),[]).
% 
% cnf(566162944,plain,(vertical_4_3|~vertical_2_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[451577696,566119600,151852784]),[]).
% 
% cnf(566178464,plain,(vertical_4_3|horizontal_3_3|vertical_3_3|horizontal_3_2),inference(resolution,[status(thm)],[566162944,151246784]),[]).
% 
% fof(unique_cover2_3_3,plain,(~horizontal_3_3|~horizontal_3_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151705568,plain,(~horizontal_3_3|~horizontal_3_2),inference(rewrite,[status(thm)],[unique_cover2_3_3]),[]).
% 
% fof(covered_3_4,plain,(horizontal_3_4|vertical_3_4|horizontal_3_3|vertical_2_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151262560,plain,(horizontal_3_4|vertical_3_4|horizontal_3_3|vertical_2_4),inference(rewrite,[status(thm)],[covered_3_4]),[]).
% 
% cnf(451668120,plain,(~horizontal_3_2|horizontal_3_4|vertical_3_4|vertical_2_4),inference(resolution,[status(thm)],[151705568,151262560]),[]).
% 
% fof(unique_cover6_3_5,plain,(~horizontal_3_4|~vertical_2_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151823600,plain,(~horizontal_3_4|~vertical_2_5),inference(rewrite,[status(thm)],[unique_cover6_3_5]),[]).
% 
% fof(unique_cover4_1_5,plain,(~vertical_1_5|~horizontal_1_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151428056,plain,(~vertical_1_5|~horizontal_1_4),inference(rewrite,[status(thm)],[unique_cover4_1_5]),[]).
% 
% cnf(450759728,plain,(~vertical_1_5|vertical_1_4),inference(resolution,[status(thm)],[151428056,155013408]),[]).
% 
% fof(covered_2_5,plain,(vertical_2_5|horizontal_2_4|vertical_1_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151205088,plain,(vertical_2_5|horizontal_2_4|vertical_1_5),inference(rewrite,[status(thm)],[covered_2_5]),[]).
% 
% cnf(450783616,plain,(vertical_1_4|vertical_2_5|horizontal_2_4),inference(resolution,[status(thm)],[450759728,151205088]),[]).
% 
% cnf(452035744,plain,(~horizontal_3_4|vertical_1_4|horizontal_2_4),inference(resolution,[status(thm)],[151823600,450783616]),[]).
% 
% cnf(457847272,plain,(vertical_1_4|horizontal_2_4|vertical_3_4|horizontal_3_3|vertical_2_4),inference(resolution,[status(thm)],[452035744,151262560]),[]).
% 
% fof(unique_cover2_2_3,plain,(~horizontal_2_3|~horizontal_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151507464,plain,(~horizontal_2_3|~horizontal_2_2),inference(rewrite,[status(thm)],[unique_cover2_2_3]),[]).
% 
% cnf(450850960,plain,(~horizontal_2_3|vertical_2_2),inference(resolution,[status(thm)],[151507464,450737552]),[]).
% 
% cnf(450879328,plain,(vertical_2_2|horizontal_2_4|vertical_2_4|vertical_1_4),inference(resolution,[status(thm)],[450850960,151190888]),[]).
% 
% cnf(450839512,plain,(~horizontal_2_3|horizontal_3_3|vertical_3_3|horizontal_3_2),inference(resolution,[status(thm)],[151500680,151246784]),[]).
% 
% cnf(463736824,plain,(horizontal_3_3|vertical_3_3|horizontal_3_2|horizontal_2_4|vertical_2_4|vertical_1_4),inference(resolution,[status(thm)],[450839512,151190888]),[]).
% 
% fof(unique_cover3_3_2,plain,(~horizontal_3_2|~vertical_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151659016,plain,(~horizontal_3_2|~vertical_2_2),inference(rewrite,[status(thm)],[unique_cover3_3_2]),[]).
% 
% cnf(463821544,plain,(horizontal_3_3|vertical_3_3|horizontal_2_4|vertical_2_4|vertical_1_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[450879328,463736824,151659016]),[]).
% 
% cnf(450866064,plain,(~horizontal_2_2|horizontal_2_4|vertical_2_4|vertical_1_4),inference(resolution,[status(thm)],[151507464,151190888]),[]).
% 
% fof(unique_cover6_4_3,plain,(~horizontal_4_2|~vertical_3_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151960312,plain,(~horizontal_4_2|~vertical_3_3),inference(rewrite,[status(thm)],[unique_cover6_4_3]),[]).
% 
% cnf(456128680,plain,(horizontal_2_2|~vertical_3_3),inference(resolution,[status(thm)],[456009016,151960312]),[]).
% 
% cnf(464755480,plain,(horizontal_2_4|vertical_2_4|vertical_1_4|~vertical_3_3),inference(resolution,[status(thm)],[450866064,456128680]),[]).
% 
% cnf(465432168,plain,(horizontal_2_4|vertical_1_4|~vertical_3_3|~vertical_3_4),inference(resolution,[status(thm)],[464755480,151785600]),[]).
% 
% cnf(465815208,plain,(horizontal_2_4|vertical_1_4|horizontal_3_4|horizontal_3_3|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[463821544,465432168,151262560]),[]).
% 
% cnf(465863904,plain,(horizontal_2_4|vertical_1_4|horizontal_3_3|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[457847272,465815208,151751416]),[]).
% 
% cnf(465909816,plain,(horizontal_2_4|horizontal_3_3|vertical_2_4|~horizontal_1_4),inference(resolution,[status(thm)],[465863904,151419976]),[]).
% 
% cnf(474795432,plain,(horizontal_2_4|horizontal_3_3|vertical_2_4|vertical_3_5|horizontal_3_4),inference(resolution,[status(thm)],[465909816,451251968]),[]).
% 
% cnf(455259424,plain,(~horizontal_2_4|vertical_3_5|~vertical_3_4),inference(resolution,[status(thm)],[451182840,151751416]),[]).
% 
% cnf(483545296,plain,(vertical_3_5|horizontal_3_4|horizontal_3_3|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[474795432,455259424,151262560]),[]).
% 
% fof(unique_cover1_2_4,plain,(~horizontal_2_4|~vertical_2_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151531456,plain,(~horizontal_2_4|~vertical_2_4),inference(rewrite,[status(thm)],[unique_cover1_2_4]),[]).
% 
% cnf(450954592,plain,(~horizontal_2_4|horizontal_3_4|vertical_3_4|horizontal_3_3),inference(resolution,[status(thm)],[151531456,151262560]),[]).
% 
% cnf(452871040,plain,(~vertical_3_5|horizontal_5_4),inference(resolution,[status(thm)],[152029176,151407784]),[]).
% 
% cnf(452904744,plain,(horizontal_5_4|horizontal_3_4|vertical_2_5),inference(resolution,[status(thm)],[452871040,151054032]),[]).
% 
% cnf(452926376,plain,(horizontal_5_4|horizontal_3_4|~horizontal_2_4),inference(resolution,[status(thm)],[452904744,151584184]),[]).
% 
% fof(unique_cover3_5_4,plain,(~horizontal_5_4|~vertical_4_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152114544,plain,(~horizontal_5_4|~vertical_4_4),inference(rewrite,[status(thm)],[unique_cover3_5_4]),[]).
% 
% cnf(459183216,plain,(horizontal_3_4|~horizontal_2_4|~vertical_4_4),inference(resolution,[status(thm)],[452926376,152114544]),[]).
% 
% cnf(483798264,plain,(horizontal_3_4|~horizontal_2_4|horizontal_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[459183216,151337696]),[]).
% 
% fof(unique_cover6_4_5,plain,(~horizontal_4_4|~vertical_3_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152039024,plain,(~horizontal_4_4|~vertical_3_5),inference(rewrite,[status(thm)],[unique_cover6_4_5]),[]).
% 
% cnf(455291232,plain,(~horizontal_2_4|horizontal_3_4|~horizontal_4_4),inference(resolution,[status(thm)],[451182840,152039024]),[]).
% 
% cnf(485239728,plain,(~horizontal_2_4|horizontal_3_4|vertical_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[455291232,151337696]),[]).
% 
% cnf(488226560,plain,(~horizontal_2_4|horizontal_3_4|horizontal_4_3|vertical_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[483798264,485239728,151971960]),[]).
% 
% fof(unique_cover4_3_4,plain,(~vertical_3_4|~horizontal_3_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151779680,plain,(~vertical_3_4|~horizontal_3_3),inference(rewrite,[status(thm)],[unique_cover4_3_4]),[]).
% 
% cnf(488295352,plain,(~horizontal_2_4|horizontal_3_4|horizontal_4_3|~horizontal_3_3),inference(resolution,[status(thm)],[488226560,151779680]),[]).
% 
% fof(unique_cover2_3_4,plain,(~horizontal_3_4|~horizontal_3_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151761584,plain,(~horizontal_3_4|~horizontal_3_3),inference(rewrite,[status(thm)],[unique_cover2_3_4]),[]).
% 
% cnf(488283928,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_4|~horizontal_3_3),inference(resolution,[status(thm)],[488226560,151761584]),[]).
% 
% cnf(490174360,plain,(~horizontal_2_4|horizontal_4_3|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[488295352,488283928,151751416]),[]).
% 
% cnf(453081528,plain,(~horizontal_5_2|horizontal_3_1),inference(resolution,[status(thm)],[152053216,452284640]),[]).
% 
% cnf(453200032,plain,(horizontal_3_1|horizontal_5_3|vertical_4_3),inference(resolution,[status(thm)],[453081528,151387584]),[]).
% 
% cnf(453709448,plain,(~horizontal_5_4|horizontal_3_1|vertical_4_3),inference(resolution,[status(thm)],[152108784,453200032]),[]).
% 
% cnf(462781104,plain,(horizontal_3_4|~horizontal_2_4|horizontal_3_1|vertical_4_3),inference(resolution,[status(thm)],[452926376,453709448]),[]).
% 
% cnf(496168232,plain,(~horizontal_2_4|horizontal_3_1|vertical_4_3|~horizontal_3_3),inference(resolution,[status(thm)],[462781104,151761584]),[]).
% 
% fof(unique_cover1_4_3,plain,(~horizontal_4_3|~vertical_4_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151916296,plain,(~horizontal_4_3|~vertical_4_3),inference(rewrite,[status(thm)],[unique_cover1_4_3]),[]).
% 
% cnf(496713928,plain,(~horizontal_2_4|horizontal_3_1|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[490174360,496168232,151916296]),[]).
% 
% cnf(496783608,plain,(~horizontal_2_4|horizontal_3_1|horizontal_3_4|vertical_3_4|vertical_2_4),inference(resolution,[status(thm)],[496713928,151262560]),[]).
% 
% fof(unique_cover6_3_4,plain,(~horizontal_3_3|~vertical_2_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151795768,plain,(~horizontal_3_3|~vertical_2_4),inference(rewrite,[status(thm)],[unique_cover6_3_4]),[]).
% 
% cnf(498444440,plain,(~horizontal_2_4|horizontal_3_1|horizontal_3_4|vertical_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[450954592,496783608,151795768]),[]).
% 
% cnf(451332880,plain,(~horizontal_3_2|vertical_3_1),inference(resolution,[status(thm)],[151652904,450686776]),[]).
% 
% cnf(451361064,plain,(vertical_3_1|horizontal_3_3|vertical_3_3|vertical_2_3),inference(resolution,[status(thm)],[451332880,151246784]),[]).
% 
% cnf(455520680,plain,(vertical_3_1|horizontal_3_3|vertical_3_3),inference(resolution,[status(thm)],[451361064,451577696]),[]).
% 
% cnf(490228944,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_1|vertical_3_3),inference(resolution,[status(thm)],[490174360,455520680]),[]).
% 
% cnf(490391416,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_1|~horizontal_4_2),inference(resolution,[status(thm)],[490228944,151960312]),[]).
% 
% cnf(490373240,plain,(~horizontal_2_4|vertical_3_1|vertical_3_3|~horizontal_4_2),inference(resolution,[status(thm)],[490228944,151926912]),[]).
% 
% fof(unique_cover3_4_3,plain,(~horizontal_4_3|~vertical_3_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151932832,plain,(~horizontal_4_3|~vertical_3_3),inference(rewrite,[status(thm)],[unique_cover3_4_3]),[]).
% 
% cnf(492762888,plain,(~horizontal_2_4|vertical_3_1|~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[490391416,490373240,151932832]),[]).
% 
% fof(unique_cover1_3_1,plain,(~horizontal_3_1|~vertical_3_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151612304,plain,(~horizontal_3_1|~vertical_3_1),inference(rewrite,[status(thm)],[unique_cover1_3_1]),[]).
% 
% cnf(496130576,plain,(horizontal_3_4|~horizontal_2_4|vertical_4_3|~vertical_3_1),inference(resolution,[status(thm)],[462781104,151612304]),[]).
% 
% cnf(496273840,plain,(horizontal_3_4|~horizontal_2_4|~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[492762888,496130576,151944480]),[]).
% 
% cnf(496430416,plain,(horizontal_3_4|~horizontal_2_4|horizontal_3_1|vertical_3_2),inference(resolution,[status(thm)],[496273840,458012280]),[]).
% 
% cnf(496512080,plain,(~horizontal_2_4|horizontal_3_1|vertical_3_2|~vertical_3_4),inference(resolution,[status(thm)],[496430416,151751416]),[]).
% 
% fof(unique_cover4_3_2,plain,(~vertical_3_2|~horizontal_3_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151670856,plain,(~vertical_3_2|~horizontal_3_1),inference(rewrite,[status(thm)],[unique_cover4_3_2]),[]).
% 
% cnf(496148272,plain,(horizontal_3_4|~horizontal_2_4|vertical_4_3|~vertical_3_2),inference(resolution,[status(thm)],[462781104,151670856]),[]).
% 
% cnf(496592296,plain,(~horizontal_2_4|vertical_4_3|~vertical_3_2|~vertical_3_4),inference(resolution,[status(thm)],[496148272,151751416]),[]).
% 
% cnf(485617352,plain,(~horizontal_2_4|~vertical_2_3),inference(resolution,[status(thm)],[485565560,151519520]),[]).
% 
% cnf(485720288,plain,(~horizontal_2_4|horizontal_3_3|vertical_3_3|horizontal_3_2),inference(resolution,[status(thm)],[485617352,151246784]),[]).
% 
% cnf(485904848,plain,(~horizontal_2_4|vertical_3_3|horizontal_3_2|~vertical_3_4),inference(resolution,[status(thm)],[485720288,151779680]),[]).
% 
% cnf(488858864,plain,(~horizontal_2_4|horizontal_3_2|~vertical_3_4|~vertical_4_3),inference(resolution,[status(thm)],[485904848,151950272]),[]).
% 
% cnf(504548040,plain,(~horizontal_2_4|~vertical_3_4|~vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[496592296,488858864,151642128]),[]).
% 
% cnf(504645184,plain,(~horizontal_2_4|~vertical_3_4|horizontal_3_1|horizontal_4_2),inference(resolution,[status(thm)],[504548040,458012280]),[]).
% 
% fof(unique_cover3_4_2,plain,(~horizontal_4_2|~vertical_3_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151881128,plain,(~horizontal_4_2|~vertical_3_2),inference(rewrite,[status(thm)],[unique_cover3_4_2]),[]).
% 
% cnf(504739200,plain,(~horizontal_2_4|~vertical_3_4|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[496512080,504645184,151881128]),[]).
% 
% cnf(504785320,plain,(~horizontal_2_4|horizontal_3_1|horizontal_3_4|horizontal_3_3|vertical_2_4),inference(resolution,[status(thm)],[504739200,151262560]),[]).
% 
% cnf(504877896,plain,(~horizontal_2_4|horizontal_3_1|horizontal_3_4|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[496783608,504785320,151779680]),[]).
% 
% cnf(504979760,plain,(~horizontal_2_4|horizontal_3_1|horizontal_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[498444440,504877896,151785600]),[]).
% 
% cnf(505022712,plain,(~horizontal_2_4|horizontal_3_4|~vertical_3_1),inference(resolution,[status(thm)],[504979760,151612304]),[]).
% 
% cnf(505092288,plain,(horizontal_3_4|~vertical_3_1|vertical_1_4|vertical_2_5),inference(resolution,[status(thm)],[505022712,450783616]),[]).
% 
% cnf(452914304,plain,(horizontal_5_4|horizontal_1_4|horizontal_3_4),inference(resolution,[status(thm)],[452871040,451251968]),[]).
% 
% cnf(452979024,plain,(horizontal_5_4|horizontal_3_4|~vertical_1_4),inference(resolution,[status(thm)],[452914304,151419976]),[]).
% 
% cnf(459492200,plain,(horizontal_3_4|~vertical_1_4|~vertical_4_4),inference(resolution,[status(thm)],[452979024,152114544]),[]).
% 
% cnf(510592648,plain,(horizontal_3_4|~vertical_1_4|horizontal_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[459492200,151337696]),[]).
% 
% cnf(455452688,plain,(horizontal_3_4|~vertical_1_4|~horizontal_4_4),inference(resolution,[status(thm)],[451261800,152039024]),[]).
% 
% cnf(520482232,plain,(horizontal_3_4|~vertical_1_4|vertical_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[455452688,151337696]),[]).
% 
% cnf(520715720,plain,(horizontal_3_4|~vertical_1_4|horizontal_4_3|vertical_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[510592648,520482232,151971960]),[]).
% 
% cnf(520811480,plain,(horizontal_3_4|~vertical_1_4|vertical_3_4|~horizontal_4_2),inference(resolution,[status(thm)],[520715720,151926912]),[]).
% 
% fof(unique_cover5_2_4,plain,(~vertical_2_4|~vertical_1_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151566008,plain,(~vertical_2_4|~vertical_1_4),inference(rewrite,[status(thm)],[unique_cover5_2_4]),[]).
% 
% cnf(451071584,plain,(~vertical_1_4|horizontal_3_4|vertical_3_4|horizontal_3_3),inference(resolution,[status(thm)],[151566008,151262560]),[]).
% 
% cnf(520780352,plain,(horizontal_3_4|~vertical_1_4|horizontal_4_3|~horizontal_3_3),inference(resolution,[status(thm)],[520715720,151779680]),[]).
% 
% cnf(520773032,plain,(~vertical_1_4|horizontal_4_3|vertical_3_4|~horizontal_3_3),inference(resolution,[status(thm)],[520715720,151761584]),[]).
% 
% cnf(520973392,plain,(~vertical_1_4|horizontal_4_3|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[520780352,520773032,151751416]),[]).
% 
% cnf(521080544,plain,(~vertical_1_4|~horizontal_3_3|~vertical_4_3),inference(resolution,[status(thm)],[520973392,151916296]),[]).
% 
% fof(covered_4_3,plain,(horizontal_4_3|vertical_4_3|horizontal_4_2|vertical_3_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151322048,plain,(horizontal_4_3|vertical_4_3|horizontal_4_2|vertical_3_3),inference(rewrite,[status(thm)],[covered_4_3]),[]).
% 
% cnf(522093808,plain,(~vertical_1_4|horizontal_4_3|horizontal_4_2|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[480304696,521080544,151322048]),[]).
% 
% cnf(521033088,plain,(~vertical_1_4|horizontal_4_3|vertical_3_1|vertical_3_3),inference(resolution,[status(thm)],[520973392,455520680]),[]).
% 
% cnf(521197280,plain,(~vertical_1_4|horizontal_4_3|vertical_3_1|~horizontal_4_2),inference(resolution,[status(thm)],[521033088,151960312]),[]).
% 
% cnf(521179272,plain,(~vertical_1_4|vertical_3_1|vertical_3_3|~horizontal_4_2),inference(resolution,[status(thm)],[521033088,151926912]),[]).
% 
% cnf(523012768,plain,(~vertical_1_4|vertical_3_1|~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[521197280,521179272,151932832]),[]).
% 
% cnf(453331344,plain,(horizontal_3_1|horizontal_5_3|~horizontal_4_2),inference(resolution,[status(thm)],[453200032,151944480]),[]).
% 
% cnf(460496152,plain,(horizontal_3_1|horizontal_5_3|vertical_3_2),inference(resolution,[status(thm)],[453331344,458012280]),[]).
% 
% cnf(460539088,plain,(horizontal_3_1|vertical_3_2|vertical_4_5),inference(resolution,[status(thm)],[460496152,453636416]),[]).
% 
% cnf(455446048,plain,(horizontal_3_4|~vertical_1_4|~vertical_4_5),inference(resolution,[status(thm)],[451261800,152029176]),[]).
% 
% cnf(455419248,plain,(vertical_3_5|~vertical_1_4|~vertical_3_4),inference(resolution,[status(thm)],[451261800,151751416]),[]).
% 
% cnf(474660808,plain,(vertical_3_5|~vertical_1_4|horizontal_4_4|vertical_4_4|horizontal_4_3),inference(resolution,[status(thm)],[455419248,151337696]),[]).
% 
% cnf(510849568,plain,(vertical_3_5|~vertical_1_4|vertical_4_4|horizontal_4_3|~vertical_4_5),inference(resolution,[status(thm)],[474660808,152022768]),[]).
% 
% fof(unique_cover4_3_5,plain,(~vertical_3_5|~horizontal_3_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151807544,plain,(~vertical_3_5|~horizontal_3_4),inference(rewrite,[status(thm)],[unique_cover4_3_5]),[]).
% 
% cnf(517655560,plain,(~vertical_1_4|vertical_4_4|horizontal_4_3|~vertical_4_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[455446048,510849568,151807544]),[]).
% 
% cnf(517725672,plain,(~vertical_1_4|vertical_4_4|~vertical_4_5|~horizontal_4_2),inference(resolution,[status(thm)],[517655560,151926912]),[]).
% 
% cnf(529481704,plain,(~vertical_1_4|vertical_4_4|horizontal_3_1|vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[460539088,517725672,458012280]),[]).
% 
% cnf(529543008,plain,(~vertical_1_4|vertical_4_4|vertical_3_2|~vertical_3_1),inference(resolution,[status(thm)],[529481704,151612304]),[]).
% 
% cnf(529684064,plain,(~vertical_1_4|vertical_4_4|~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[523012768,529543008,151881128]),[]).
% 
% cnf(529871768,plain,(~vertical_1_4|vertical_4_4|horizontal_4_3|vertical_4_3|vertical_3_3),inference(resolution,[status(thm)],[529684064,151322048]),[]).
% 
% cnf(530789328,plain,(~vertical_1_4|vertical_4_4|horizontal_4_3|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[522093808,529871768,151944480]),[]).
% 
% cnf(530907320,plain,(~vertical_1_4|horizontal_4_3|vertical_3_3|~vertical_3_4),inference(resolution,[status(thm)],[530789328,152005232]),[]).
% 
% cnf(511766096,plain,(~vertical_1_4|~vertical_2_3),inference(resolution,[status(thm)],[511716504,151519520]),[]).
% 
% cnf(511876888,plain,(~vertical_1_4|horizontal_3_3|vertical_3_3|horizontal_3_2),inference(resolution,[status(thm)],[511766096,151246784]),[]).
% 
% cnf(529651008,plain,(~vertical_1_4|vertical_4_4|vertical_3_2|horizontal_3_3|vertical_3_3),inference(resolution,[status(thm)],[529543008,455520680]),[]).
% 
% cnf(530295464,plain,(~vertical_1_4|vertical_4_4|horizontal_3_3|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[511876888,529651008,151642128]),[]).
% 
% cnf(530420688,plain,(~vertical_1_4|vertical_4_4|vertical_3_3|~vertical_3_4),inference(resolution,[status(thm)],[530295464,151779680]),[]).
% 
% cnf(531615936,plain,(~vertical_1_4|vertical_3_3|~vertical_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[530907320,530420688,151995384]),[]).
% 
% cnf(531664944,plain,(~vertical_1_4|vertical_3_3|horizontal_3_4|horizontal_3_3|vertical_2_4),inference(resolution,[status(thm)],[531615936,151262560]),[]).
% 
% cnf(532144056,plain,(~vertical_1_4|vertical_3_3|horizontal_3_4|horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[451071584,531664944,151785600]),[]).
% 
% cnf(532197848,plain,(~vertical_1_4|horizontal_3_4|horizontal_3_3|~horizontal_4_2),inference(resolution,[status(thm)],[532144056,151960312]),[]).
% 
% cnf(532384328,plain,(~vertical_1_4|horizontal_3_4|~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[520811480,532197848,151779680]),[]).
% 
% cnf(532447824,plain,(~vertical_1_4|horizontal_3_4|horizontal_3_1|vertical_3_2),inference(resolution,[status(thm)],[532384328,458012280]),[]).
% 
% cnf(451422192,plain,(~vertical_3_2|vertical_3_1),inference(resolution,[status(thm)],[151670856,450686776]),[]).
% 
% cnf(521064912,plain,(~vertical_1_4|horizontal_4_3|vertical_3_3|horizontal_3_2|vertical_2_3),inference(resolution,[status(thm)],[520973392,151246784]),[]).
% 
% cnf(521871296,plain,(~vertical_1_4|horizontal_4_3|vertical_3_3|horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[511716504,521064912,151519520]),[]).
% 
% cnf(452315232,plain,(horizontal_5_1|~vertical_3_2),inference(resolution,[status(thm)],[452205248,451422192]),[]).
% 
% cnf(453142856,plain,(~horizontal_5_2|~vertical_3_2),inference(resolution,[status(thm)],[152053216,452315232]),[]).
% 
% cnf(453731088,plain,(vertical_4_5|horizontal_5_2|vertical_4_3),inference(resolution,[status(thm)],[453636416,151387584]),[]).
% 
% cnf(453775392,plain,(vertical_4_5|horizontal_5_2|~horizontal_4_3),inference(resolution,[status(thm)],[453731088,151916296]),[]).
% 
% cnf(462365440,plain,(~vertical_3_2|vertical_4_5|~horizontal_4_3),inference(resolution,[status(thm)],[453142856,453775392]),[]).
% 
% cnf(455430136,plain,(vertical_3_5|~vertical_1_4|~horizontal_3_3),inference(resolution,[status(thm)],[451261800,151761584]),[]).
% 
% cnf(474699328,plain,(vertical_3_5|~vertical_1_4|vertical_3_3|horizontal_3_2|vertical_2_3),inference(resolution,[status(thm)],[455430136,151246784]),[]).
% 
% cnf(475146072,plain,(vertical_3_5|~vertical_1_4|vertical_3_3|horizontal_3_2|~horizontal_2_2),inference(resolution,[status(thm)],[474699328,151519520]),[]).
% 
% cnf(475828496,plain,(vertical_3_5|~vertical_1_4|vertical_3_3|~vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[451460184,475146072,151642128]),[]).
% 
% cnf(511352312,plain,(~vertical_1_4|vertical_3_3|~vertical_3_2|~vertical_4_5),inference(resolution,[status(thm)],[475828496,152029176]),[]).
% 
% cnf(518171472,plain,(~vertical_1_4|~vertical_3_2|~horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[462365440,511352312,151932832]),[]).
% 
% cnf(518287912,plain,(~vertical_1_4|~horizontal_4_3|horizontal_3_1|horizontal_4_2),inference(resolution,[status(thm)],[518171472,458012280]),[]).
% 
% cnf(518352400,plain,(~vertical_1_4|horizontal_3_1|horizontal_4_2|vertical_4_3|vertical_3_3),inference(resolution,[status(thm)],[518287912,151322048]),[]).
% 
% fof(covered_3_2,plain,(horizontal_3_2|vertical_3_2|horizontal_3_1|vertical_2_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151235032,plain,(horizontal_3_2|vertical_3_2|horizontal_3_1|vertical_2_2),inference(rewrite,[status(thm)],[covered_3_2]),[]).
% 
% cnf(511829632,plain,(~vertical_1_4|horizontal_3_2|vertical_3_2|horizontal_3_1),inference(resolution,[status(thm)],[511759680,151235032]),[]).
% 
% cnf(512042320,plain,(~vertical_1_4|horizontal_3_2|horizontal_3_1|~horizontal_4_2),inference(resolution,[status(thm)],[511829632,151881128]),[]).
% 
% cnf(513906184,plain,(~vertical_1_4|horizontal_3_2|horizontal_3_1|horizontal_4_3|vertical_4_3|vertical_3_3),inference(resolution,[status(thm)],[512042320,151322048]),[]).
% 
% cnf(525959832,plain,(~vertical_1_4|horizontal_3_2|horizontal_3_1|vertical_4_3|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[518352400,513906184,151926912]),[]).
% 
% cnf(526069240,plain,(~vertical_1_4|horizontal_3_2|horizontal_3_1|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[521871296,525959832,151916296]),[]).
% 
% cnf(526133936,plain,(~vertical_1_4|horizontal_3_2|vertical_3_3|~vertical_3_1),inference(resolution,[status(thm)],[526069240,151612304]),[]).
% 
% cnf(526251768,plain,(~vertical_1_4|vertical_3_3|~vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[451422192,526133936,151642128]),[]).
% 
% cnf(462824648,plain,(horizontal_3_4|~vertical_1_4|horizontal_3_1|vertical_4_3),inference(resolution,[status(thm)],[452979024,453709448]),[]).
% 
% cnf(541229688,plain,(horizontal_3_4|~vertical_1_4|vertical_4_3|~vertical_3_2),inference(resolution,[status(thm)],[462824648,151670856]),[]).
% 
% cnf(541938408,plain,(horizontal_3_4|~vertical_1_4|~vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[526251768,541229688,151950272]),[]).
% 
% cnf(542004352,plain,(horizontal_3_4|~vertical_1_4|horizontal_3_1|horizontal_4_2),inference(resolution,[status(thm)],[541938408,458012280]),[]).
% 
% cnf(542090768,plain,(horizontal_3_4|~vertical_1_4|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[532447824,542004352,151881128]),[]).
% 
% cnf(542143264,plain,(horizontal_3_4|~vertical_1_4|~vertical_3_1),inference(resolution,[status(thm)],[542090768,151612304]),[]).
% 
% cnf(542222240,plain,(~vertical_1_4|~vertical_3_1|~vertical_3_5),inference(resolution,[status(thm)],[542143264,151807544]),[]).
% 
% cnf(543605176,plain,(~vertical_3_1|horizontal_3_4|vertical_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[505092288,542222240,151054032]),[]).
% 
% cnf(546517656,plain,(~vertical_3_1|vertical_2_5|~vertical_3_4),inference(resolution,[status(thm)],[543605176,151751416]),[]).
% 
% fof(unique_cover5_3_5,plain,(~vertical_3_5|~vertical_2_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151813464,plain,(~vertical_3_5|~vertical_2_5),inference(rewrite,[status(thm)],[unique_cover5_3_5]),[]).
% 
% cnf(546607376,plain,(~vertical_3_1|~vertical_3_4|~vertical_3_5),inference(resolution,[status(thm)],[546517656,151813464]),[]).
% 
% cnf(547247664,plain,(~vertical_3_1|horizontal_3_4|horizontal_3_3|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[483545296,546607376,151262560]),[]).
% 
% cnf(547368608,plain,(~vertical_3_1|horizontal_3_4|vertical_2_4|~vertical_3_4),inference(resolution,[status(thm)],[547247664,151779680]),[]).
% 
% cnf(547993136,plain,(horizontal_3_4|vertical_2_4|~horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[451668120,547368608,451332880]),[]).
% 
% cnf(458109296,plain,(horizontal_4_2|vertical_3_2|~vertical_3_1),inference(resolution,[status(thm)],[458012280,151612304]),[]).
% 
% cnf(467156168,plain,(horizontal_4_2|~horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[451332880,458109296,151642128]),[]).
% 
% cnf(455733032,plain,(vertical_3_1|vertical_3_3|~horizontal_3_4),inference(resolution,[status(thm)],[455520680,151761584]),[]).
% 
% cnf(559115336,plain,(vertical_3_1|~horizontal_3_4|~horizontal_4_2),inference(resolution,[status(thm)],[455733032,151960312]),[]).
% 
% cnf(564629856,plain,(horizontal_4_3|vertical_4_1|vertical_4_3|~horizontal_3_4),inference(resolution,[status(thm)],[564511584,151751416]),[]).
% 
% cnf(564976048,plain,(horizontal_4_3|vertical_4_3|~horizontal_3_4|~vertical_3_1),inference(resolution,[status(thm)],[564629856,151852784]),[]).
% 
% cnf(567590624,plain,(vertical_4_3|~horizontal_3_4|~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[559115336,564976048,151926912]),[]).
% 
% cnf(567635528,plain,(vertical_4_3|~horizontal_4_2|vertical_3_4|horizontal_3_3|vertical_2_4),inference(resolution,[status(thm)],[567590624,151262560]),[]).
% 
% cnf(570238896,plain,(vertical_4_3|vertical_3_4|vertical_2_4|~horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[467156168,567635528,151705568]),[]).
% 
% cnf(570290320,plain,(vertical_4_3|vertical_2_4|~horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[547993136,570238896,151751416]),[]).
% 
% cnf(455797528,plain,(vertical_3_1|horizontal_3_3|~horizontal_4_2),inference(resolution,[status(thm)],[455520680,151960312]),[]).
% 
% cnf(564647016,plain,(horizontal_4_3|vertical_4_1|vertical_4_3|~vertical_2_4),inference(resolution,[status(thm)],[564511584,151785600]),[]).
% 
% cnf(565187440,plain,(horizontal_4_3|vertical_4_3|~vertical_2_4|~vertical_3_1),inference(resolution,[status(thm)],[564647016,151852784]),[]).
% 
% cnf(568144256,plain,(vertical_4_3|~vertical_2_4|~vertical_3_1|~horizontal_4_2),inference(resolution,[status(thm)],[565187440,151926912]),[]).
% 
% cnf(573544624,plain,(vertical_4_3|~horizontal_4_2|horizontal_3_4|vertical_3_4|horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[455797528,568144256,151262560]),[]).
% 
% cnf(573584920,plain,(vertical_4_3|horizontal_3_4|vertical_3_4|~horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[467156168,573544624,151705568]),[]).
% 
% fof(unique_cover3_3_4,plain,(~horizontal_3_4|~vertical_2_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151053048,plain,(~horizontal_3_4|~vertical_2_4),inference(rewrite,[status(thm)],[unique_cover3_3_4]),[]).
% 
% cnf(573653368,plain,(vertical_4_3|vertical_3_4|~horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[570238896,573584920,151053048]),[]).
% 
% cnf(573705440,plain,(vertical_4_3|~horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[570290320,573653368,151785600]),[]).
% 
% cnf(573726432,plain,(vertical_4_3|horizontal_3_3|vertical_3_3|vertical_2_3),inference(resolution,[status(thm)],[573705440,151246784]),[]).
% 
% fof(unique_cover6_3_3,plain,(~horizontal_3_2|~vertical_2_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151743696,plain,(~horizontal_3_2|~vertical_2_3),inference(rewrite,[status(thm)],[unique_cover6_3_3]),[]).
% 
% cnf(573767240,plain,(vertical_4_3|horizontal_3_3|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[566178464,573726432,151743696]),[]).
% 
% cnf(573820552,plain,(horizontal_3_3|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[480304696,573767240,151944480]),[]).
% 
% cnf(578244144,plain,(~vertical_4_3|horizontal_3_3),inference(resolution,[status(thm)],[151950272,573820552]),[]).
% 
% cnf(522176432,plain,(~vertical_1_4|horizontal_4_3|vertical_3_3|~vertical_4_3),inference(resolution,[status(thm)],[522093808,151944480]),[]).
% 
% cnf(522024128,plain,(~vertical_1_4|horizontal_4_3|horizontal_3_2|~vertical_4_3),inference(resolution,[status(thm)],[521871296,151950272]),[]).
% 
% fof(unique_cover4_3_3,plain,(~vertical_3_3|~horizontal_3_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151723456,plain,(~vertical_3_3|~horizontal_3_2),inference(rewrite,[status(thm)],[unique_cover4_3_3]),[]).
% 
% cnf(524129800,plain,(~vertical_1_4|horizontal_4_3|~vertical_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[522176432,522024128,151723456]),[]).
% 
% cnf(524197304,plain,(~vertical_1_4|~vertical_4_3),inference(resolution,[status(thm)],[524129800,151916296]),[]).
% 
% cnf(524241192,plain,(~vertical_4_3|horizontal_2_4|vertical_2_4|horizontal_2_3),inference(resolution,[status(thm)],[524197304,151190888]),[]).
% 
% cnf(456092080,plain,(horizontal_4_2|~horizontal_2_3),inference(resolution,[status(thm)],[456009016,151507464]),[]).
% 
% cnf(456262120,plain,(~horizontal_2_3|~vertical_4_3),inference(resolution,[status(thm)],[456092080,151944480]),[]).
% 
% cnf(510434536,plain,(~vertical_4_3|horizontal_2_4|vertical_2_4|vertical_1_4),inference(resolution,[status(thm)],[456262120,151190888]),[]).
% 
% fof(unique_cover6_2_4,plain,(~horizontal_2_3|~vertical_1_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151576336,plain,(~horizontal_2_3|~vertical_1_4),inference(rewrite,[status(thm)],[unique_cover6_2_4]),[]).
% 
% cnf(592501696,plain,(~vertical_4_3|horizontal_2_4|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[524241192,510434536,151576336]),[]).
% 
% cnf(490335992,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_3|~horizontal_3_1),inference(resolution,[status(thm)],[490228944,151612304]),[]).
% 
% cnf(492326744,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_3|horizontal_4_2|vertical_3_2),inference(resolution,[status(thm)],[490335992,458012280]),[]).
% 
% cnf(490259968,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_3|horizontal_3_2|vertical_2_3),inference(resolution,[status(thm)],[490174360,151246784]),[]).
% 
% cnf(491870672,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_3|horizontal_3_2|horizontal_4_2),inference(resolution,[status(thm)],[490259968,456098640]),[]).
% 
% cnf(493403960,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_3|horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[492326744,491870672,151642128]),[]).
% 
% cnf(493481960,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_3|~vertical_4_3),inference(resolution,[status(thm)],[493403960,151944480]),[]).
% 
% cnf(491896440,plain,(~horizontal_2_4|horizontal_4_3|vertical_3_3|horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[485565560,490259968,151519520]),[]).
% 
% cnf(492037544,plain,(~horizontal_2_4|horizontal_4_3|horizontal_3_2|~vertical_4_3),inference(resolution,[status(thm)],[491896440,151950272]),[]).
% 
% cnf(493856888,plain,(~horizontal_2_4|horizontal_4_3|~vertical_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[493481960,492037544,151723456]),[]).
% 
% cnf(493913968,plain,(~horizontal_2_4|~vertical_4_3),inference(resolution,[status(thm)],[493856888,151916296]),[]).
% 
% cnf(493957864,plain,(~vertical_4_3|vertical_2_4|horizontal_2_3|vertical_1_4),inference(resolution,[status(thm)],[493913968,151190888]),[]).
% 
% fof(unique_cover2_2_4,plain,(~horizontal_2_4|~horizontal_2_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151537696,plain,(~horizontal_2_4|~horizontal_2_3),inference(rewrite,[status(thm)],[unique_cover2_2_4]),[]).
% 
% cnf(592484176,plain,(~vertical_4_3|vertical_2_4|vertical_1_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[493957864,510434536,151537696]),[]).
% 
% fof(unique_cover3_2_4,plain,(~horizontal_2_4|~vertical_1_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151547992,plain,(~horizontal_2_4|~vertical_1_4),inference(rewrite,[status(thm)],[unique_cover3_2_4]),[]).
% 
% cnf(592538208,plain,(~vertical_4_3|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[592501696,592484176,151547992]),[]).
% 
% cnf(592599304,plain,(~vertical_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[578244144,592538208,151795768]),[]).
% 
% cnf(592613632,plain,(horizontal_4_3|horizontal_4_2|vertical_3_3),inference(resolution,[status(thm)],[592599304,151322048]),[]).
% 
% cnf(573829832,plain,(vertical_4_3|horizontal_3_3|~horizontal_4_2),inference(resolution,[status(thm)],[573767240,151960312]),[]).
% 
% cnf(573893056,plain,(horizontal_3_3|~horizontal_4_2),inference(resolution,[status(thm)],[573829832,151944480]),[]).
% 
% cnf(542166752,plain,(horizontal_3_4|~vertical_3_1|horizontal_1_4),inference(resolution,[status(thm)],[542143264,155013408]),[]).
% 
% cnf(505110288,plain,(horizontal_3_4|~vertical_3_1|vertical_2_4|horizontal_2_3|vertical_1_4),inference(resolution,[status(thm)],[505022712,151190888]),[]).
% 
% cnf(549771640,plain,(horizontal_3_4|~vertical_3_1|vertical_2_4|horizontal_2_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[542166752,505110288,151419976]),[]).
% 
% cnf(549870888,plain,(~vertical_3_1|vertical_2_4|horizontal_2_3|~horizontal_3_3),inference(resolution,[status(thm)],[549771640,151761584]),[]).
% 
% cnf(550420888,plain,(~vertical_3_1|horizontal_2_3|~horizontal_3_3),inference(resolution,[status(thm)],[549870888,151795768]),[]).
% 
% cnf(550475792,plain,(~vertical_3_1|~horizontal_3_3|~horizontal_2_2),inference(resolution,[status(thm)],[550420888,151507464]),[]).
% 
% cnf(455981920,plain,(horizontal_2_2|horizontal_4_2|horizontal_4_1),inference(resolution,[status(thm)],[451508008,453442448]),[]).
% 
% cnf(550825296,plain,(~vertical_3_1|~horizontal_3_3|horizontal_4_2|horizontal_4_1),inference(resolution,[status(thm)],[550475792,455981920]),[]).
% 
% cnf(551003096,plain,(~horizontal_3_3|horizontal_4_2|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[450686776,550825296,452094224]),[]).
% 
% cnf(453744096,plain,(vertical_4_5|vertical_4_1|vertical_4_3),inference(resolution,[status(thm)],[453636416,453186856]),[]).
% 
% cnf(453868352,plain,(vertical_4_5|vertical_4_1|~horizontal_4_3),inference(resolution,[status(thm)],[453744096,151916296]),[]).
% 
% cnf(454070240,plain,(~vertical_4_4|vertical_4_5),inference(resolution,[status(thm)],[152114544,151407784]),[]).
% 
% cnf(454120560,plain,(vertical_4_5|horizontal_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[454070240,151337696]),[]).
% 
% cnf(463579576,plain,(vertical_4_5|vertical_4_1|horizontal_4_4|vertical_3_4),inference(resolution,[status(thm)],[453868352,454120560]),[]).
% 
% cnf(452557608,plain,(~horizontal_4_3|vertical_4_2|horizontal_4_1|vertical_3_2),inference(resolution,[status(thm)],[151926912,151302312]),[]).
% 
% cnf(518250816,plain,(~vertical_1_4|~horizontal_4_3|horizontal_4_2|vertical_4_2|horizontal_4_1),inference(resolution,[status(thm)],[518171472,151302312]),[]).
% 
% cnf(532962688,plain,(~vertical_1_4|~horizontal_4_3|vertical_4_2|horizontal_4_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[452557608,518250816,151881128]),[]).
% 
% cnf(533026952,plain,(~vertical_1_4|vertical_4_2|horizontal_4_1|horizontal_4_4|vertical_4_4|vertical_3_4),inference(resolution,[status(thm)],[532962688,151337696]),[]).
% 
% cnf(536288608,plain,(~vertical_1_4|vertical_4_2|horizontal_4_1|horizontal_4_4|vertical_3_4|vertical_4_5),inference(resolution,[status(thm)],[533026952,454070240]),[]).
% 
% fof(unique_cover1_4_1,plain,(~horizontal_4_1|~vertical_4_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151835184,plain,(~horizontal_4_1|~vertical_4_1),inference(rewrite,[status(thm)],[unique_cover1_4_1]),[]).
% 
% cnf(537737048,plain,(~vertical_1_4|vertical_4_2|horizontal_4_4|vertical_3_4|vertical_4_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[463579576,536288608,151835184]),[]).
% 
% cnf(537801928,plain,(~vertical_1_4|vertical_4_2|horizontal_4_4|vertical_4_5|~horizontal_3_3),inference(resolution,[status(thm)],[537737048,151779680]),[]).
% 
% cnf(539335120,plain,(~vertical_1_4|vertical_4_2|horizontal_4_4|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[455430136,537801928,152029176]),[]).
% 
% cnf(539326848,plain,(~vertical_1_4|vertical_4_2|vertical_4_5|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[520973392,537801928,151977880]),[]).
% 
% cnf(539429752,plain,(~vertical_1_4|vertical_4_2|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[539335120,539326848,152022768]),[]).
% 
% fof(unique_cover4_4_2,plain,(~vertical_4_2|~horizontal_4_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151892808,plain,(~vertical_4_2|~horizontal_4_1),inference(rewrite,[status(thm)],[unique_cover4_4_2]),[]).
% 
% cnf(539523400,plain,(~vertical_1_4|~horizontal_3_3|~horizontal_4_1),inference(resolution,[status(thm)],[539429752,151892808]),[]).
% 
% cnf(540291264,plain,(~horizontal_3_3|~horizontal_4_1|horizontal_1_4),inference(resolution,[status(thm)],[539523400,155013408]),[]).
% 
% cnf(462227848,plain,(horizontal_3_4|~horizontal_2_4|vertical_4_1|vertical_4_3),inference(resolution,[status(thm)],[452926376,453701200]),[]).
% 
% cnf(496321696,plain,(~horizontal_2_4|vertical_4_1|vertical_4_3|~horizontal_3_3),inference(resolution,[status(thm)],[462227848,151761584]),[]).
% 
% cnf(497191352,plain,(~horizontal_2_4|vertical_4_1|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[490174360,496321696,151916296]),[]).
% 
% cnf(497275192,plain,(~horizontal_2_4|~horizontal_3_3|~horizontal_4_1),inference(resolution,[status(thm)],[497191352,151835184]),[]).
% 
% cnf(499207216,plain,(~horizontal_3_3|~horizontal_4_1|vertical_2_5|vertical_1_5),inference(resolution,[status(thm)],[497275192,151205088]),[]).
% 
% cnf(451570952,plain,(vertical_3_1|~horizontal_2_3),inference(resolution,[status(thm)],[451518568,450850960]),[]).
% 
% cnf(451603312,plain,(vertical_3_1|horizontal_2_4|vertical_2_4|vertical_1_4),inference(resolution,[status(thm)],[451570952,151190888]),[]).
% 
% cnf(457185560,plain,(vertical_3_1|horizontal_2_4|vertical_1_4|~horizontal_3_3),inference(resolution,[status(thm)],[451603312,151795768]),[]).
% 
% cnf(466203008,plain,(vertical_3_1|horizontal_2_4|~horizontal_3_3|~horizontal_1_4),inference(resolution,[status(thm)],[457185560,151419976]),[]).
% 
% cnf(473142256,plain,(horizontal_2_4|~horizontal_3_3|~horizontal_1_4|~horizontal_4_1),inference(resolution,[status(thm)],[466203008,151845320]),[]).
% 
% cnf(474204656,plain,(horizontal_2_4|~horizontal_3_3|~horizontal_4_1|vertical_1_5),inference(resolution,[status(thm)],[473142256,151132888]),[]).
% 
% cnf(555501152,plain,(~horizontal_3_3|~horizontal_4_1|vertical_1_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[499207216,474204656,151584184]),[]).
% 
% cnf(555977088,plain,(~horizontal_3_3|~horizontal_4_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[540291264,555501152,151428056]),[]).
% 
% fof(covered_4_1,plain,(horizontal_4_1|vertical_4_1|vertical_3_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151290720,plain,(horizontal_4_1|vertical_4_1|vertical_3_1),inference(rewrite,[status(thm)],[covered_4_1]),[]).
% 
% cnf(555985192,plain,(~horizontal_3_3|vertical_4_1|vertical_3_1),inference(resolution,[status(thm)],[555977088,151290720]),[]).
% 
% cnf(556064280,plain,(~horizontal_3_3|vertical_4_1|~horizontal_3_1),inference(resolution,[status(thm)],[555985192,151612304]),[]).
% 
% cnf(556291280,plain,(~horizontal_3_3|vertical_4_1|horizontal_4_2|vertical_3_2),inference(resolution,[status(thm)],[556064280,458012280]),[]).
% 
% cnf(554868616,plain,(~horizontal_3_3|vertical_4_1|horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[551003096,556291280,151670856]),[]).
% 
% cnf(564640472,plain,(horizontal_4_3|vertical_4_1|vertical_4_3|~horizontal_3_3),inference(resolution,[status(thm)],[564511584,151779680]),[]).
% 
% cnf(565052704,plain,(horizontal_4_3|vertical_4_1|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[554868616,564640472,151944480]),[]).
% 
% cnf(565041168,plain,(vertical_4_1|vertical_4_3|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[554868616,564640472,151926912]),[]).
% 
% cnf(565103200,plain,(vertical_4_1|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[565052704,565041168,151916296]),[]).
% 
% cnf(454540104,plain,(vertical_2_2|horizontal_3_3|vertical_3_3|vertical_3_1),inference(resolution,[status(thm)],[450917712,451332880]),[]).
% 
% cnf(473128280,plain,(vertical_3_1|horizontal_2_4|~horizontal_1_4|vertical_3_3),inference(resolution,[status(thm)],[466203008,455520680]),[]).
% 
% cnf(473174368,plain,(vertical_3_1|horizontal_2_4|vertical_3_3|~vertical_2_5),inference(resolution,[status(thm)],[473128280,451212616]),[]).
% 
% cnf(455757360,plain,(horizontal_3_3|vertical_3_3|~horizontal_4_1),inference(resolution,[status(thm)],[455520680,151845320]),[]).
% 
% cnf(473186808,plain,(horizontal_2_4|~horizontal_1_4|vertical_3_3|~horizontal_4_1),inference(resolution,[status(thm)],[473128280,151845320]),[]).
% 
% cnf(473397992,plain,(horizontal_2_4|vertical_3_3|~horizontal_4_1|~vertical_2_5),inference(resolution,[status(thm)],[473186808,451212616]),[]).
% 
% cnf(454455248,plain,(vertical_2_2|horizontal_2_4|vertical_2_4|~horizontal_1_4),inference(resolution,[status(thm)],[450879328,151419976]),[]).
% 
% cnf(477166376,plain,(vertical_2_2|vertical_2_4|~vertical_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[451212616,454455248,151584184]),[]).
% 
% cnf(477180664,plain,(vertical_2_2|vertical_2_4|vertical_3_5|horizontal_3_4),inference(resolution,[status(thm)],[477166376,151054032]),[]).
% 
% cnf(477269616,plain,(vertical_2_2|vertical_3_5|horizontal_3_4|~horizontal_3_3),inference(resolution,[status(thm)],[477180664,151795768]),[]).
% 
% cnf(477247728,plain,(vertical_2_2|vertical_2_4|vertical_3_5|~horizontal_3_3),inference(resolution,[status(thm)],[477180664,151761584]),[]).
% 
% cnf(477549760,plain,(vertical_2_2|vertical_3_5|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[477269616,477247728,151053048]),[]).
% 
% cnf(477563128,plain,(vertical_2_2|vertical_3_5|vertical_3_3|horizontal_3_2|vertical_2_3),inference(resolution,[status(thm)],[477549760,151246784]),[]).
% 
% fof(unique_cover3_3_3,plain,(~horizontal_3_3|~vertical_2_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151715736,plain,(~horizontal_3_3|~vertical_2_3),inference(rewrite,[status(thm)],[unique_cover3_3_3]),[]).
% 
% cnf(477628168,plain,(vertical_2_2|vertical_3_5|vertical_3_3|horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[450917712,477563128,151715736]),[]).
% 
% cnf(478639640,plain,(vertical_2_2|vertical_3_5|vertical_3_3|~vertical_3_2),inference(resolution,[status(thm)],[477628168,151642128]),[]).
% 
% cnf(478682000,plain,(vertical_2_2|vertical_3_5|vertical_3_3|horizontal_3_1|horizontal_4_2),inference(resolution,[status(thm)],[478639640,458012280]),[]).
% 
% cnf(478714544,plain,(vertical_2_2|vertical_3_5|vertical_3_3|horizontal_4_2|~vertical_3_1),inference(resolution,[status(thm)],[478682000,151612304]),[]).
% 
% cnf(478977856,plain,(vertical_2_2|vertical_3_3|horizontal_4_2|~horizontal_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[455733032,478714544,151807544]),[]).
% 
% cnf(479031696,plain,(vertical_2_2|vertical_3_3|horizontal_4_2|vertical_3_5|vertical_2_5),inference(resolution,[status(thm)],[478977856,151054032]),[]).
% 
% fof(unique_cover2_4_2,plain,(~horizontal_4_2|~horizontal_4_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151875176,plain,(~horizontal_4_2|~horizontal_4_1),inference(rewrite,[status(thm)],[unique_cover2_4_2]),[]).
% 
% cnf(479129288,plain,(vertical_2_2|vertical_3_3|vertical_3_5|vertical_2_5|~horizontal_4_1),inference(resolution,[status(thm)],[479031696,151875176]),[]).
% 
% cnf(479363000,plain,(vertical_2_2|vertical_3_3|vertical_3_5|~horizontal_4_1|~horizontal_2_4),inference(resolution,[status(thm)],[479129288,151584184]),[]).
% 
% cnf(479617344,plain,(vertical_2_2|vertical_3_3|~horizontal_4_1|~vertical_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[473397992,479363000,151813464]),[]).
% 
% cnf(479626576,plain,(vertical_2_2|vertical_3_3|~horizontal_4_1|vertical_3_5|horizontal_3_4),inference(resolution,[status(thm)],[479617344,151054032]),[]).
% 
% cnf(479726272,plain,(vertical_2_2|vertical_3_3|~horizontal_4_1|vertical_3_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[455757360,479626576,151761584]),[]).
% 
% cnf(479742056,plain,(vertical_2_2|vertical_3_3|vertical_3_5|vertical_4_1|vertical_3_1),inference(resolution,[status(thm)],[479726272,151290720]),[]).
% 
% cnf(479805728,plain,(vertical_2_2|vertical_3_3|vertical_3_5|vertical_4_1|~horizontal_3_1),inference(resolution,[status(thm)],[479742056,151612304]),[]).
% 
% cnf(479974288,plain,(vertical_2_2|vertical_3_3|vertical_4_1|~horizontal_3_1|~horizontal_3_4),inference(resolution,[status(thm)],[479805728,151807544]),[]).
% 
% cnf(480294880,plain,(vertical_2_2|vertical_3_3|~horizontal_3_1|~horizontal_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[455733032,479974288,151852784]),[]).
% 
% cnf(480355952,plain,(vertical_2_2|vertical_3_3|~horizontal_3_1|vertical_3_5|vertical_2_5),inference(resolution,[status(thm)],[480294880,151054032]),[]).
% 
% cnf(480470040,plain,(vertical_2_2|vertical_3_3|~horizontal_3_1|vertical_3_5|~horizontal_2_4),inference(resolution,[status(thm)],[480355952,151584184]),[]).
% 
% cnf(480774296,plain,(vertical_2_2|vertical_3_3|vertical_3_5|~horizontal_2_4|vertical_3_1),inference(resolution,[status(thm)],[480470040,450686776]),[]).
% 
% cnf(480865144,plain,(vertical_2_2|vertical_3_3|vertical_3_1|~vertical_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[473174368,480774296,151813464]),[]).
% 
% cnf(480879952,plain,(vertical_2_2|vertical_3_3|vertical_3_1|vertical_3_5|horizontal_3_4),inference(resolution,[status(thm)],[480865144,151054032]),[]).
% 
% cnf(480969408,plain,(vertical_2_2|vertical_3_3|vertical_3_1|vertical_3_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[454540104,480879952,151761584]),[]).
% 
% cnf(481006288,plain,(vertical_3_3|vertical_3_1|vertical_3_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[451560104,480969408,151053392]),[]).
% 
% cnf(479097736,plain,(vertical_2_2|vertical_3_3|horizontal_4_2|vertical_3_5|~horizontal_2_4),inference(resolution,[status(thm)],[479031696,151584184]),[]).
% 
% cnf(479297320,plain,(vertical_3_3|horizontal_4_2|vertical_3_5|~horizontal_2_4),inference(resolution,[status(thm)],[479097736,456080656]),[]).
% 
% cnf(484295136,plain,(vertical_3_3|vertical_3_5|~horizontal_2_4|~horizontal_4_3),inference(resolution,[status(thm)],[479297320,151926912]),[]).
% 
% cnf(487092256,plain,(vertical_3_5|~horizontal_2_4|~horizontal_4_3),inference(resolution,[status(thm)],[484295136,151932832]),[]).
% 
% cnf(496176840,plain,(horizontal_3_4|~horizontal_2_4|horizontal_3_1|~horizontal_4_3),inference(resolution,[status(thm)],[462781104,151916296]),[]).
% 
% cnf(496850000,plain,(~horizontal_2_4|horizontal_3_1|~horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[487092256,496176840,151807544]),[]).
% 
% cnf(496898904,plain,(~horizontal_2_4|horizontal_3_1|vertical_4_3|horizontal_4_2|vertical_3_3),inference(resolution,[status(thm)],[496850000,151322048]),[]).
% 
% cnf(498702056,plain,(~horizontal_2_4|horizontal_3_1|horizontal_4_2|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[493403960,496898904,151916296]),[]).
% 
% cnf(497229184,plain,(~horizontal_2_4|vertical_4_1|vertical_3_1|vertical_3_3),inference(resolution,[status(thm)],[497191352,455520680]),[]).
% 
% cnf(497322040,plain,(~horizontal_2_4|vertical_4_1|vertical_3_3|~horizontal_3_1),inference(resolution,[status(thm)],[497229184,151612304]),[]).
% 
% cnf(499311856,plain,(~horizontal_2_4|vertical_3_3|~horizontal_4_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[452094224,497322040,151835184]),[]).
% 
% cnf(499359848,plain,(~horizontal_2_4|vertical_3_3|horizontal_4_2|vertical_4_2|vertical_3_2),inference(resolution,[status(thm)],[499311856,151302312]),[]).
% 
% cnf(501185848,plain,(~horizontal_2_4|vertical_3_3|horizontal_4_2|vertical_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[498702056,499359848,151670856]),[]).
% 
% fof(unique_cover1_3_3,plain,(~horizontal_3_3|~vertical_3_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151698912,plain,(~horizontal_3_3|~vertical_3_3),inference(rewrite,[status(thm)],[unique_cover1_3_3]),[]).
% 
% cnf(501256400,plain,(~horizontal_2_4|horizontal_4_2|vertical_4_2|~horizontal_3_3),inference(resolution,[status(thm)],[501185848,151698912]),[]).
% 
% cnf(502021704,plain,(~horizontal_2_4|vertical_4_2|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[490174360,501256400,151926912]),[]).
% 
% cnf(502045576,plain,(vertical_4_2|~horizontal_3_3|vertical_1_4|vertical_2_5),inference(resolution,[status(thm)],[502021704,450783616]),[]).
% 
% cnf(539458256,plain,(vertical_4_2|~horizontal_3_3|vertical_2_5|horizontal_2_4),inference(resolution,[status(thm)],[539429752,450783616]),[]).
% 
% cnf(555538976,plain,(vertical_4_2|~horizontal_3_3|vertical_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[502045576,539458256,151547992]),[]).
% 
% cnf(555593168,plain,(vertical_4_2|~horizontal_3_3|~vertical_3_5),inference(resolution,[status(thm)],[555538976,151813464]),[]).
% 
% cnf(556094616,plain,(vertical_4_2|vertical_3_1|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[481006288,555593168,455520680]),[]).
% 
% cnf(576073352,plain,(vertical_4_2|vertical_3_1|~horizontal_3_3),inference(resolution,[status(thm)],[556094616,151698912]),[]).
% 
% cnf(576192672,plain,(vertical_4_2|~horizontal_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[565103200,576073352,151852784]),[]).
% 
% fof(unique_cover1_4_2,plain,(~horizontal_4_2|~vertical_4_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151864528,plain,(~horizontal_4_2|~vertical_4_2),inference(rewrite,[status(thm)],[unique_cover1_4_2]),[]).
% 
% cnf(576215944,plain,(~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[573893056,576192672,151864528]),[]).
% 
% cnf(586760312,plain,(horizontal_4_3|vertical_4_3|vertical_3_3),inference(resolution,[status(thm)],[576215944,151322048]),[]).
% 
% cnf(612147168,plain,(horizontal_4_3|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[592613632,586760312,151944480]),[]).
% 
% cnf(565076480,plain,(vertical_4_1|vertical_4_3|vertical_3_3|horizontal_3_2|vertical_2_3),inference(resolution,[status(thm)],[565041168,151246784]),[]).
% 
% cnf(565820688,plain,(vertical_4_1|vertical_4_3|vertical_3_3|horizontal_3_2|horizontal_4_2),inference(resolution,[status(thm)],[565076480,456098640]),[]).
% 
% cnf(566388032,plain,(vertical_4_1|vertical_4_3|vertical_3_3|horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[480304696,565820688,151705568]),[]).
% 
% cnf(566492968,plain,(vertical_4_1|vertical_4_3|vertical_3_3|~horizontal_4_3),inference(resolution,[status(thm)],[566388032,151926912]),[]).
% 
% cnf(566776952,plain,(vertical_4_1|vertical_4_3|~horizontal_4_3),inference(resolution,[status(thm)],[566492968,151932832]),[]).
% 
% cnf(566801472,plain,(vertical_4_1|~horizontal_4_3),inference(resolution,[status(thm)],[566776952,151916296]),[]).
% 
% cnf(452057576,plain,(~horizontal_4_1|horizontal_5_1),inference(resolution,[status(thm)],[151835184,151359768]),[]).
% 
% cnf(452087848,plain,(horizontal_5_1|horizontal_4_2|vertical_4_2|vertical_3_2),inference(resolution,[status(thm)],[452057576,151302312]),[]).
% 
% cnf(457871048,plain,(horizontal_5_1|horizontal_4_2|vertical_4_2),inference(resolution,[status(thm)],[452087848,452315232]),[]).
% 
% fof(unique_cover3_5_1,plain,(~horizontal_5_1|~vertical_4_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152046408,plain,(~horizontal_5_1|~vertical_4_1),inference(rewrite,[status(thm)],[unique_cover3_5_1]),[]).
% 
% cnf(461017560,plain,(horizontal_4_2|vertical_4_2|~vertical_4_1),inference(resolution,[status(thm)],[457871048,152046408]),[]).
% 
% cnf(575284520,plain,(vertical_4_2|~horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[566801472,461017560,151926912]),[]).
% 
% cnf(575298400,plain,(vertical_4_2|vertical_4_3|horizontal_4_2|vertical_3_3),inference(resolution,[status(thm)],[575284520,151322048]),[]).
% 
% fof(unique_cover3_5_2,plain,(~horizontal_5_2|~vertical_4_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(152063128,plain,(~horizontal_5_2|~vertical_4_2),inference(rewrite,[status(thm)],[unique_cover3_5_2]),[]).
% 
% cnf(462327488,plain,(~vertical_4_2|vertical_4_5|~horizontal_4_3),inference(resolution,[status(thm)],[152063128,453775392]),[]).
% 
% cnf(478702952,plain,(vertical_3_5|vertical_3_3|horizontal_3_1|horizontal_4_2),inference(resolution,[status(thm)],[478682000,456080656]),[]).
% 
% cnf(481017064,plain,(vertical_2_2|vertical_3_3|vertical_3_5|~horizontal_3_1),inference(resolution,[status(thm)],[480969408,151612304]),[]).
% 
% cnf(481123856,plain,(vertical_3_3|vertical_3_5|horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[478702952,481017064,456080656]),[]).
% 
% cnf(511073448,plain,(vertical_3_5|horizontal_4_2|~horizontal_4_3),inference(resolution,[status(thm)],[481123856,151932832]),[]).
% 
% cnf(511152776,plain,(vertical_3_5|~horizontal_4_3|~vertical_4_2),inference(resolution,[status(thm)],[511073448,151864528]),[]).
% 
% cnf(605867152,plain,(~horizontal_4_3|~vertical_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[462327488,511152776,152029176]),[]).
% 
% cnf(607699016,plain,(vertical_4_3|horizontal_4_2|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[575298400,605867152,151322048]),[]).
% 
% cnf(612137928,plain,(vertical_4_3|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[607699016,586760312,151926912]),[]).
% 
% cnf(612159688,plain,(vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[612147168,612137928,151916296]),[]).
% 
% cnf(511808808,plain,(~vertical_2_2|vertical_2_5|horizontal_2_4),inference(resolution,[status(thm)],[511759680,450783616]),[]).
% 
% cnf(485635216,plain,(~vertical_2_2|vertical_2_5|vertical_1_5),inference(resolution,[status(thm)],[485606048,151205088]),[]).
% 
% fof(unique_cover6_2_5,plain,(~horizontal_2_4|~vertical_1_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151604648,plain,(~horizontal_2_4|~vertical_1_5),inference(rewrite,[status(thm)],[unique_cover6_2_5]),[]).
% 
% cnf(552880328,plain,(~vertical_2_2|vertical_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[511808808,485635216,151604648]),[]).
% 
% cnf(552926048,plain,(~vertical_2_2|~horizontal_3_4),inference(resolution,[status(thm)],[552880328,151823600]),[]).
% 
% cnf(552961848,plain,(~vertical_2_2|vertical_3_4|horizontal_3_3|vertical_2_4),inference(resolution,[status(thm)],[552926048,151262560]),[]).
% 
% cnf(547313600,plain,(horizontal_3_4|horizontal_3_3|vertical_2_4|~vertical_2_2),inference(resolution,[status(thm)],[547247664,451518568]),[]).
% 
% cnf(553042896,plain,(horizontal_3_3|vertical_2_4|~vertical_2_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[552961848,547313600,151751416]),[]).
% 
% cnf(553059240,plain,(horizontal_3_3|vertical_2_4|horizontal_2_2),inference(resolution,[status(thm)],[553042896,450737552]),[]).
% 
% cnf(547258688,plain,(horizontal_3_4|horizontal_3_3|vertical_2_4|horizontal_3_1),inference(resolution,[status(thm)],[547247664,450686776]),[]).
% 
% cnf(452216080,plain,(~vertical_4_1|horizontal_3_1),inference(resolution,[status(thm)],[151852784,450686776]),[]).
% 
% cnf(565061712,plain,(vertical_4_3|~horizontal_3_3|horizontal_3_1),inference(resolution,[status(thm)],[565041168,452216080]),[]).
% 
% cnf(565130312,plain,(vertical_4_3|horizontal_3_1|horizontal_3_4|vertical_3_4|vertical_2_4),inference(resolution,[status(thm)],[565061712,151262560]),[]).
% 
% cnf(565974120,plain,(vertical_4_3|horizontal_3_1|horizontal_3_4|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[547258688,565130312,151779680]),[]).
% 
% cnf(451529400,plain,(~horizontal_3_1|horizontal_2_2),inference(resolution,[status(thm)],[151687072,450737552]),[]).
% 
% cnf(566004272,plain,(vertical_4_3|horizontal_3_4|vertical_2_4|horizontal_2_2),inference(resolution,[status(thm)],[565974120,451529400]),[]).
% 
% cnf(566039552,plain,(vertical_4_3|vertical_2_4|horizontal_2_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[553059240,566004272,151761584]),[]).
% 
% cnf(566072424,plain,(vertical_2_4|horizontal_2_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[456009016,566039552,151944480]),[]).
% 
% cnf(523068752,plain,(~vertical_1_4|vertical_3_1|vertical_4_2|horizontal_4_1|vertical_3_2),inference(resolution,[status(thm)],[523012768,151302312]),[]).
% 
% cnf(524698152,plain,(~vertical_1_4|vertical_3_1|vertical_4_2|horizontal_4_1),inference(resolution,[status(thm)],[523068752,451422192]),[]).
% 
% cnf(524817472,plain,(~vertical_1_4|vertical_4_2|horizontal_4_1|~horizontal_3_1),inference(resolution,[status(thm)],[524698152,151612304]),[]).
% 
% cnf(525122136,plain,(~vertical_1_4|vertical_4_2|~vertical_4_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[452216080,524817472,151835184]),[]).
% 
% cnf(525134280,plain,(vertical_4_2|~vertical_4_1|horizontal_1_4),inference(resolution,[status(thm)],[525122136,155013408]),[]).
% 
% cnf(492817360,plain,(~horizontal_2_4|vertical_3_1|vertical_4_2|horizontal_4_1|vertical_3_2),inference(resolution,[status(thm)],[492762888,151302312]),[]).
% 
% cnf(494289600,plain,(~horizontal_2_4|vertical_3_1|vertical_4_2|horizontal_4_1),inference(resolution,[status(thm)],[492817360,451422192]),[]).
% 
% cnf(494400520,plain,(~horizontal_2_4|vertical_4_2|horizontal_4_1|~horizontal_3_1),inference(resolution,[status(thm)],[494289600,151612304]),[]).
% 
% cnf(494854744,plain,(~horizontal_2_4|vertical_4_2|~vertical_4_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[452216080,494400520,151835184]),[]).
% 
% cnf(494899832,plain,(vertical_4_2|~vertical_4_1|vertical_2_4|horizontal_2_3|vertical_1_4),inference(resolution,[status(thm)],[494854744,151190888]),[]).
% 
% cnf(577164448,plain,(vertical_4_2|~vertical_4_1|vertical_2_4|horizontal_2_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[525134280,494899832,151419976]),[]).
% 
% cnf(577222912,plain,(vertical_4_2|~vertical_4_1|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[566072424,577164448,151507464]),[]).
% 
% cnf(573876720,plain,(vertical_4_3|horizontal_3_3|horizontal_5_1|vertical_4_2),inference(resolution,[status(thm)],[573829832,457871048]),[]).
% 
% cnf(573903472,plain,(vertical_4_3|horizontal_5_1|vertical_4_2|~vertical_2_4),inference(resolution,[status(thm)],[573876720,151795768]),[]).
% 
% cnf(574078144,plain,(horizontal_5_1|vertical_4_2|~vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[457871048,573903472,151944480]),[]).
% 
% cnf(581965488,plain,(vertical_4_2|~vertical_4_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[577222912,574078144,152046408]),[]).
% 
% cnf(584396088,plain,(~horizontal_5_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[453074976,581965488,152063128]),[]).
% 
% cnf(614869248,plain,(horizontal_5_3|vertical_4_3),inference(resolution,[status(thm)],[151387584,584396088]),[]).
% 
% cnf(614946208,plain,(horizontal_5_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[612159688,151950272,614869248]),[]).
% 
% cnf(614968632,plain,(vertical_4_5),inference(resolution,[status(thm)],[453636416,614946208]),[]).
% 
% cnf(614990568,plain,(~horizontal_4_4),inference(resolution,[status(thm)],[152022768,614968632]),[]).
% 
% cnf(615073560,plain,(vertical_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[151337696,614990568]),[]).
% 
% cnf(451042832,plain,(~vertical_2_4|horizontal_1_4),inference(resolution,[status(thm)],[151566008,155013408]),[]).
% 
% cnf(454527864,plain,(vertical_2_2|horizontal_2_4|vertical_1_4|~horizontal_3_3),inference(resolution,[status(thm)],[450879328,151795768]),[]).
% 
% cnf(466145488,plain,(vertical_2_2|horizontal_2_4|vertical_1_4|vertical_3_3|horizontal_3_2|vertical_2_3),inference(resolution,[status(thm)],[454527864,151246784]),[]).
% 
% cnf(466612824,plain,(vertical_2_2|horizontal_2_4|vertical_1_4|vertical_3_3|horizontal_3_2),inference(resolution,[status(thm)],[466145488,450891048]),[]).
% 
% cnf(466641552,plain,(vertical_2_2|horizontal_2_4|vertical_3_3|horizontal_3_2|~horizontal_1_4),inference(resolution,[status(thm)],[466612824,151419976]),[]).
% 
% cnf(473236808,plain,(horizontal_2_4|vertical_3_3|horizontal_3_2|~horizontal_1_4|horizontal_4_2),inference(resolution,[status(thm)],[466641552,456080656]),[]).
% 
% cnf(466652488,plain,(horizontal_2_4|vertical_1_4|vertical_3_3|horizontal_3_2|~horizontal_2_2),inference(resolution,[status(thm)],[466612824,151053392]),[]).
% 
% cnf(466740536,plain,(horizontal_2_4|vertical_3_3|horizontal_3_2|~horizontal_2_2|~horizontal_1_4),inference(resolution,[status(thm)],[466652488,151419976]),[]).
% 
% cnf(473694040,plain,(horizontal_2_4|vertical_3_3|~horizontal_1_4|~vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[451460184,466740536,151642128]),[]).
% 
% cnf(473771488,plain,(horizontal_2_4|vertical_3_3|~horizontal_1_4|horizontal_3_1|horizontal_4_2),inference(resolution,[status(thm)],[473694040,458012280]),[]).
% 
% cnf(473921720,plain,(horizontal_2_4|vertical_3_3|~horizontal_1_4|horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[473236808,473771488,151652904]),[]).
% 
% cnf(473972632,plain,(vertical_3_3|horizontal_4_2|~vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[451042832,473921720,151531456]),[]).
% 
% cnf(573813224,plain,(vertical_4_3|vertical_3_3|~vertical_2_4),inference(resolution,[status(thm)],[573767240,151795768]),[]).
% 
% cnf(573853680,plain,(vertical_3_3|~vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[473972632,573813224,151944480]),[]).
% 
% cnf(473421424,plain,(vertical_3_3|~horizontal_4_1|~vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[451042832,473186808,151531456]),[]).
% 
% cnf(565176872,plain,(horizontal_4_3|vertical_4_3|~vertical_2_4|~horizontal_4_1),inference(resolution,[status(thm)],[564647016,151835184]),[]).
% 
% cnf(568047520,plain,(vertical_4_3|~vertical_2_4|~horizontal_4_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[473421424,565176872,151932832]),[]).
% 
% cnf(581913592,plain,(~horizontal_4_1|~vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[568047520,473421424,151950272]),[]).
% 
% cnf(566458424,plain,(vertical_4_3|vertical_3_3|horizontal_4_2|~horizontal_4_1),inference(resolution,[status(thm)],[566388032,151835184]),[]).
% 
% cnf(566718080,plain,(vertical_4_3|vertical_3_3|horizontal_4_2|vertical_4_2|vertical_3_2),inference(resolution,[status(thm)],[566458424,151302312]),[]).
% 
% cnf(564657584,plain,(horizontal_4_3|vertical_3_4|vertical_4_3|~horizontal_4_1),inference(resolution,[status(thm)],[564511584,151835184]),[]).
% 
% cnf(565231200,plain,(horizontal_4_3|vertical_3_4|vertical_4_3|horizontal_4_2|vertical_4_2|vertical_3_2),inference(resolution,[status(thm)],[564657584,151302312]),[]).
% 
% cnf(568239456,plain,(vertical_3_4|vertical_4_3|horizontal_4_2|vertical_4_2|vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[566718080,565231200,151932832]),[]).
% 
% cnf(477258656,plain,(vertical_2_2|vertical_3_5|horizontal_3_4|~vertical_3_4),inference(resolution,[status(thm)],[477180664,151785600]),[]).
% 
% cnf(477236816,plain,(vertical_2_2|vertical_2_4|vertical_3_5|~vertical_3_4),inference(resolution,[status(thm)],[477180664,151751416]),[]).
% 
% cnf(184896008,plain,(vertical_2_2|vertical_3_5|~vertical_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[477258656,477236816,151053048]),[]).
% 
% cnf(477506592,plain,(vertical_3_5|~vertical_3_4|~horizontal_2_2),inference(resolution,[status(thm)],[184896008,151053392]),[]).
% 
% cnf(483219264,plain,(vertical_3_5|~vertical_3_4|~horizontal_4_1),inference(resolution,[status(thm)],[477506592,452109768]),[]).
% 
% cnf(453236480,plain,(horizontal_5_3|vertical_4_3|~horizontal_4_1),inference(resolution,[status(thm)],[453186856,151835184]),[]).
% 
% cnf(453675440,plain,(~horizontal_5_3|horizontal_3_4|vertical_2_5),inference(resolution,[status(thm)],[152108784,452904744]),[]).
% 
% cnf(461903896,plain,(vertical_4_3|~horizontal_4_1|horizontal_3_4|vertical_2_5),inference(resolution,[status(thm)],[453236480,453675440]),[]).
% 
% cnf(567215696,plain,(vertical_4_3|~horizontal_4_1|vertical_2_5|~vertical_3_4),inference(resolution,[status(thm)],[461903896,151751416]),[]).
% 
% cnf(569812536,plain,(vertical_4_3|~horizontal_4_1|~vertical_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[483219264,567215696,151813464]),[]).
% 
% cnf(569842216,plain,(vertical_4_3|horizontal_4_2|vertical_4_2|vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[568239456,569812536,151302312]),[]).
% 
% cnf(554321784,plain,(vertical_2_4|horizontal_3_3|vertical_3_3|horizontal_3_2),inference(resolution,[status(thm)],[553021672,151246784]),[]).
% 
% cnf(570336408,plain,(vertical_4_3|vertical_2_4|horizontal_3_3|vertical_3_3|vertical_2_3),inference(resolution,[status(thm)],[570290320,151246784]),[]).
% 
% cnf(570399968,plain,(vertical_4_3|vertical_2_4|horizontal_3_3|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[554321784,570336408,151743696]),[]).
% 
% cnf(570519384,plain,(vertical_4_3|vertical_2_4|horizontal_3_3|~horizontal_4_2),inference(resolution,[status(thm)],[570399968,151960312]),[]).
% 
% cnf(565086384,plain,(vertical_4_1|vertical_4_3|horizontal_3_4|vertical_3_4|vertical_2_4),inference(resolution,[status(thm)],[565041168,151262560]),[]).
% 
% cnf(565898248,plain,(vertical_4_3|horizontal_3_4|vertical_3_4|vertical_2_4|~vertical_3_1),inference(resolution,[status(thm)],[565086384,151852784]),[]).
% 
% cnf(569285256,plain,(vertical_4_3|horizontal_3_4|vertical_2_4|~vertical_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[547247664,565898248,151779680]),[]).
% 
% cnf(569307920,plain,(vertical_4_3|horizontal_3_4|vertical_2_4|horizontal_4_1|vertical_4_1),inference(resolution,[status(thm)],[569285256,151290720]),[]).
% 
% cnf(569342144,plain,(vertical_4_3|horizontal_3_4|vertical_2_4|vertical_4_1|~horizontal_4_2),inference(resolution,[status(thm)],[569307920,151875176]),[]).
% 
% cnf(571595008,plain,(vertical_4_3|vertical_2_4|vertical_4_1|~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[570519384,569342144,151761584]),[]).
% 
% cnf(571637672,plain,(vertical_4_3|vertical_4_1|~horizontal_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[564673344,571595008,151785600]),[]).
% 
% cnf(571672456,plain,(vertical_4_3|vertical_4_1|vertical_4_2|horizontal_4_1|vertical_3_2),inference(resolution,[status(thm)],[571637672,151302312]),[]).
% 
% cnf(571748344,plain,(vertical_4_3|vertical_4_1|vertical_4_2|vertical_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[569842216,571672456,151875176]),[]).
% 
% cnf(571768976,plain,(vertical_4_3|vertical_4_2|vertical_3_2|horizontal_3_1),inference(resolution,[status(thm)],[571748344,452216080]),[]).
% 
% cnf(571790936,plain,(vertical_4_2|vertical_3_2|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[458012280,571768976,151944480]),[]).
% 
% cnf(578312352,plain,(vertical_3_2|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[458012280,571790936,151864528]),[]).
% 
% cnf(550452608,plain,(~vertical_3_1|~horizontal_3_3|vertical_2_2),inference(resolution,[status(thm)],[550420888,450850960]),[]).
% 
% cnf(550514216,plain,(~vertical_3_1|vertical_2_2|vertical_3_3|horizontal_3_2|vertical_2_3),inference(resolution,[status(thm)],[550452608,151246784]),[]).
% 
% cnf(550880480,plain,(~vertical_3_1|vertical_2_2|vertical_3_3|horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[450917712,550514216,151715736]),[]).
% 
% cnf(550908872,plain,(~vertical_3_1|vertical_3_3|horizontal_3_2|~horizontal_2_2),inference(resolution,[status(thm)],[550880480,151053392]),[]).
% 
% cnf(551208184,plain,(vertical_3_3|horizontal_3_2|~horizontal_2_2|horizontal_3_1),inference(resolution,[status(thm)],[550908872,450686776]),[]).
% 
% cnf(580957576,plain,(vertical_3_3|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[451460184,578312352,551208184,151642128]),[]).
% 
% cnf(564683960,plain,(vertical_3_4|vertical_4_1|vertical_4_3|~vertical_3_3),inference(resolution,[status(thm)],[564511584,151932832]),[]).
% 
% cnf(565351248,plain,(vertical_3_4|vertical_4_1|vertical_4_3|horizontal_3_3|horizontal_3_2|vertical_2_3),inference(resolution,[status(thm)],[564683960,151246784]),[]).
% 
% fof(unique_cover5_3_3,plain,(~vertical_3_3|~vertical_2_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151733496,plain,(~vertical_3_3|~vertical_2_3),inference(rewrite,[status(thm)],[unique_cover5_3_3]),[]).
% 
% cnf(568498688,plain,(vertical_3_4|vertical_4_1|vertical_4_3|horizontal_3_3|horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[566178464,565351248,151733496]),[]).
% 
% cnf(568491240,plain,(vertical_3_4|vertical_4_1|vertical_4_3|horizontal_3_2|vertical_2_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[565076480,565351248,151698912]),[]).
% 
% cnf(568537576,plain,(vertical_3_4|vertical_4_1|vertical_4_3|horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[568498688,568491240,151715736]),[]).
% 
% cnf(568587112,plain,(vertical_3_4|vertical_4_3|horizontal_3_2|horizontal_3_1),inference(resolution,[status(thm)],[568537576,452216080]),[]).
% 
% cnf(567602408,plain,(vertical_4_3|~horizontal_3_4|~vertical_3_1|~vertical_3_3),inference(resolution,[status(thm)],[564976048,151932832]),[]).
% 
% cnf(572795240,plain,(vertical_4_3|~vertical_3_1|vertical_3_4|horizontal_3_3|vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[570399968,567602408,151262560]),[]).
% 
% cnf(572810136,plain,(vertical_4_3|vertical_3_4|horizontal_3_3|vertical_2_4|horizontal_3_1),inference(resolution,[status(thm)],[572795240,450686776]),[]).
% 
% cnf(572869200,plain,(vertical_4_3|vertical_3_4|vertical_2_4|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[568587112,572810136,151705568]),[]).
% 
% cnf(572908008,plain,(vertical_4_3|vertical_2_4|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[565974120,572869200,151751416]),[]).
% 
% cnf(568649696,plain,(vertical_4_3|horizontal_3_2|horizontal_3_1|~vertical_2_4),inference(resolution,[status(thm)],[568587112,151785600]),[]).
% 
% cnf(573737072,plain,(~horizontal_3_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[467156168,573705440,151944480]),[]).
% 
% cnf(581332840,plain,(vertical_4_3|horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[572908008,568649696,573737072]),[]).
% 
% cnf(581382416,plain,(horizontal_3_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[580957576,581332840,151950272]),[]).
% 
% cnf(581388720,plain,(~vertical_3_1),inference(resolution,[status(thm)],[151612304,581382416]),[]).
% 
% cnf(581408264,plain,(horizontal_4_1|vertical_4_1),inference(resolution,[status(thm)],[151290720,581388720]),[]).
% 
% cnf(582191968,plain,(~vertical_2_4|vertical_4_1),inference(resolution,[status(thm)],[581913592,581408264]),[]).
% 
% cnf(582229648,plain,(~vertical_2_4|~horizontal_5_1),inference(resolution,[status(thm)],[582191968,152046408]),[]).
% 
% fof(covered_5_2,plain,(horizontal_5_2|horizontal_5_1|vertical_4_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151373632,plain,(horizontal_5_2|horizontal_5_1|vertical_4_2),inference(rewrite,[status(thm)],[covered_5_2]),[]).
% 
% cnf(582373888,plain,(~vertical_2_4|horizontal_5_2|vertical_4_2),inference(resolution,[status(thm)],[582229648,151373632]),[]).
% 
% cnf(582463936,plain,(~vertical_2_4|vertical_4_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[574078144,582373888,152053216]),[]).
% 
% cnf(582509672,plain,(~vertical_2_4|~horizontal_5_2),inference(resolution,[status(thm)],[582463936,152063128]),[]).
% 
% cnf(582548680,plain,(~vertical_2_4|horizontal_5_3|vertical_4_3),inference(resolution,[status(thm)],[582509672,151387584]),[]).
% 
% cnf(582629128,plain,(~vertical_2_4|horizontal_5_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[573853680,582548680,151950272]),[]).
% 
% cnf(582670544,plain,(~vertical_2_4|vertical_4_5),inference(resolution,[status(thm)],[582629128,453636416]),[]).
% 
% cnf(451930336,plain,(~vertical_2_4|horizontal_4_4|vertical_4_4|horizontal_4_3),inference(resolution,[status(thm)],[151785600,151337696]),[]).
% 
% cnf(511179912,plain,(vertical_3_5|~horizontal_4_3),inference(resolution,[status(thm)],[511073448,151926912]),[]).
% 
% cnf(453247720,plain,(horizontal_5_3|vertical_4_3|~vertical_3_1),inference(resolution,[status(thm)],[453186856,151852784]),[]).
% 
% cnf(453667160,plain,(~horizontal_5_3|~vertical_3_5),inference(resolution,[status(thm)],[152108784,452871040]),[]).
% 
% cnf(461741960,plain,(vertical_4_3|~vertical_3_1|~vertical_3_5),inference(resolution,[status(thm)],[453247720,453667160]),[]).
% 
% cnf(546210408,plain,(vertical_4_3|~vertical_3_5|horizontal_3_3|vertical_3_3),inference(resolution,[status(thm)],[461741960,455520680]),[]).
% 
% cnf(570782688,plain,(vertical_4_3|horizontal_3_3|~horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[511179912,546210408,151932832]),[]).
% 
% cnf(570798320,plain,(vertical_4_3|horizontal_3_3|horizontal_4_4|vertical_4_4|vertical_3_4),inference(resolution,[status(thm)],[570782688,151337696]),[]).
% 
% cnf(570958808,plain,(vertical_4_3|horizontal_4_4|vertical_4_4|vertical_3_4|~vertical_2_4),inference(resolution,[status(thm)],[570798320,151795768]),[]).
% 
% cnf(570948008,plain,(vertical_4_3|horizontal_3_3|horizontal_4_4|vertical_4_4|~vertical_2_4),inference(resolution,[status(thm)],[570798320,151785600]),[]).
% 
% cnf(572323744,plain,(vertical_4_3|horizontal_4_4|vertical_4_4|~vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[570958808,570948008,151779680]),[]).
% 
% cnf(572359184,plain,(horizontal_4_4|vertical_4_4|~vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[451930336,572323744,151916296]),[]).
% 
% cnf(581890632,plain,(vertical_4_4|~vertical_2_4|~vertical_4_5),inference(resolution,[status(thm)],[572359184,152022768]),[]).
% 
% cnf(583380848,plain,(~vertical_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[582629128,582670544,581890632,152124360]),[]).
% 
% cnf(450694928,plain,(~vertical_1_4|vertical_1_5),inference(resolution,[status(thm)],[151419976,151132888]),[]).
% 
% cnf(450747944,plain,(vertical_1_5|horizontal_2_4|vertical_2_4|horizontal_2_3),inference(resolution,[status(thm)],[450694928,151190888]),[]).
% 
% cnf(583410456,plain,(vertical_1_5|horizontal_2_4|horizontal_2_3),inference(resolution,[status(thm)],[583380848,450747944]),[]).
% 
% cnf(456282680,plain,(horizontal_4_2|vertical_1_5|horizontal_2_4|vertical_2_4),inference(resolution,[status(thm)],[456092080,450747944]),[]).
% 
% fof(unique_cover4_2_4,plain,(~vertical_2_4|~horizontal_2_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ016-2.005.tptp',unknown),[]).
% 
% cnf(151559928,plain,(~vertical_2_4|~horizontal_2_3),inference(rewrite,[status(thm)],[unique_cover4_2_4]),[]).
% 
% cnf(597982616,plain,(horizontal_4_2|vertical_1_5|horizontal_2_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[583410456,456282680,151559928]),[]).
% 
% cnf(598038000,plain,(horizontal_4_2|horizontal_2_4|~vertical_2_5),inference(resolution,[status(thm)],[597982616,151594352]),[]).
% 
% cnf(583395040,plain,(horizontal_2_4|horizontal_2_3|vertical_1_4),inference(resolution,[status(thm)],[583380848,151190888]),[]).
% 
% cnf(456225184,plain,(horizontal_4_2|horizontal_2_4|vertical_2_4|vertical_1_4),inference(resolution,[status(thm)],[456080656,450879328]),[]).
% 
% cnf(597970640,plain,(horizontal_4_2|horizontal_2_4|vertical_1_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[583395040,456225184,151559928]),[]).
% 
% cnf(598001832,plain,(horizontal_4_2|vertical_1_4|~vertical_2_5),inference(resolution,[status(thm)],[597970640,151584184]),[]).
% 
% cnf(598099128,plain,(horizontal_4_2|~vertical_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[598038000,598001832,151547992]),[]).
% 
% cnf(598119464,plain,(horizontal_4_2|vertical_3_5|horizontal_3_4),inference(resolution,[status(thm)],[598099128,151054032]),[]).
% 
% cnf(156275288,plain,(~vertical_4_1|horizontal_2_2),inference(resolution,[status(thm)],[151852784,451560104]),[]).
% 
% cnf(564619920,plain,(horizontal_4_3|vertical_3_4|vertical_4_3|horizontal_2_2),inference(resolution,[status(thm)],[564511584,156275288]),[]).
% 
% cnf(564853648,plain,(vertical_3_4|vertical_4_3|horizontal_2_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[456009016,564619920,151926912]),[]).
% 
% cnf(566045912,plain,(vertical_4_3|horizontal_3_4|horizontal_2_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[564853648,566004272,151785600]),[]).
% 
% cnf(566064696,plain,(vertical_4_3|horizontal_2_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[566045912,566039552,151053048]),[]).
% 
% cnf(566077912,plain,(horizontal_2_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[456009016,566064696,151944480]),[]).
% 
% cnf(593459752,plain,(vertical_2_2|horizontal_2_4|vertical_1_4|vertical_3_3),inference(resolution,[status(thm)],[454527864,573820552]),[]).
% 
% cnf(593478920,plain,(horizontal_2_4|vertical_1_4|vertical_3_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[566077912,593459752,151053392]),[]).
% 
% cnf(593488424,plain,(horizontal_2_4|vertical_3_3|~horizontal_1_4),inference(resolution,[status(thm)],[593478920,151419976]),[]).
% 
% cnf(598431360,plain,(vertical_3_3|~vertical_2_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[451212616,593488424,151584184]),[]).
% 
% cnf(598444952,plain,(vertical_3_3|vertical_3_5|horizontal_3_4),inference(resolution,[status(thm)],[598431360,151054032]),[]).
% 
% cnf(605688928,plain,(vertical_3_5|horizontal_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[598119464,598444952,151960312]),[]).
% 
% cnf(614975472,plain,(~horizontal_5_4),inference(resolution,[status(thm)],[152108784,614946208]),[]).
% 
% cnf(615051968,plain,(horizontal_3_4|vertical_2_5),inference(resolution,[status(thm)],[452904744,614975472]),[]).
% 
% cnf(615107992,plain,(horizontal_3_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[605688928,151813464,615051968]),[]).
% 
% cnf(451811328,plain,(~horizontal_3_4|horizontal_4_4|vertical_4_4|horizontal_4_3),inference(resolution,[status(thm)],[151751416,151337696]),[]).
% 
% cnf(617089280,plain,(vertical_4_4|horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[615073560,615107992,451811328,151987856]),[]).
% 
% cnf(614985112,plain,(~vertical_4_4),inference(resolution,[status(thm)],[152124360,614946208]),[]).
% 
% cnf(615067336,plain,(horizontal_4_4|horizontal_4_3|vertical_3_4),inference(resolution,[status(thm)],[151337696,614985112]),[]).
% 
% cnf(617093992,plain,(horizontal_4_4|horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[615067336,615107992,451811328,152005232]),[]).
% 
% cnf(618687312,plain,(horizontal_4_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[617089280,617093992,151971960]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[612159688,151932832,618687312]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------