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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:31:12 PM UTC 2026

% Result   : Unsatisfiable 1.82s 1.62s
% Output   : Refutation 4.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  154
% Syntax   : Number of formulae    :  412 (  44 unt;  60 def)
%            Number of atoms       :  895 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  998 ( 515   ~; 423   |;   0   &)
%                                         (  60 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :  121 ( 120 usr; 121 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ horizontal_1_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered1_1_1) ).

fof(f2,negated_conjecture,
    ~ vertical_1_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_1) ).

fof(f3,negated_conjecture,
    ~ horizontal_6_5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered3_6_6) ).

fof(f4,negated_conjecture,
    ~ vertical_5_6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered4_6_6) ).

fof(f5,negated_conjecture,
    ( horizontal_1_2
    | vertical_1_2
    | horizontal_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_2) ).

fof(f7,negated_conjecture,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_4) ).

fof(f9,negated_conjecture,
    ( vertical_1_6
    | horizontal_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_6) ).

fof(f10,negated_conjecture,
    ( horizontal_2_1
    | vertical_2_1
    | vertical_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_1) ).

fof(f12,negated_conjecture,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_3) ).

fof(f14,negated_conjecture,
    ( horizontal_2_5
    | vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_5) ).

fof(f17,negated_conjecture,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_2) ).

fof(f19,negated_conjecture,
    ( horizontal_3_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_4) ).

fof(f21,negated_conjecture,
    ( vertical_3_6
    | horizontal_3_5
    | vertical_2_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_6) ).

fof(f22,negated_conjecture,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_1) ).

fof(f24,negated_conjecture,
    ( horizontal_4_3
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_3) ).

fof(f26,negated_conjecture,
    ( horizontal_4_5
    | vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_5) ).

fof(f29,negated_conjecture,
    ( horizontal_5_2
    | vertical_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_2) ).

fof(f31,negated_conjecture,
    ( horizontal_5_4
    | vertical_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_4) ).

fof(f33,negated_conjecture,
    ( vertical_5_6
    | horizontal_5_5
    | vertical_4_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_6) ).

fof(f34,negated_conjecture,
    ( horizontal_6_1
    | vertical_5_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_6_1) ).

fof(f36,negated_conjecture,
    ( horizontal_6_3
    | horizontal_6_2
    | vertical_5_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_6_3) ).

fof(f38,negated_conjecture,
    ( horizontal_6_5
    | horizontal_6_4
    | vertical_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_6_5) ).

fof(f42,negated_conjecture,
    ( ~ horizontal_1_3
    | ~ vertical_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_3) ).

fof(f43,negated_conjecture,
    ( ~ horizontal_1_3
    | ~ horizontal_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_1_3) ).

fof(f44,negated_conjecture,
    ( ~ vertical_1_3
    | ~ horizontal_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_1_3) ).

fof(f48,negated_conjecture,
    ( ~ horizontal_1_5
    | ~ vertical_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_5) ).

fof(f49,negated_conjecture,
    ( ~ horizontal_1_5
    | ~ horizontal_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_1_5) ).

fof(f50,negated_conjecture,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_1_5) ).

fof(f56,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ horizontal_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_2) ).

fof(f57,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_2) ).

fof(f58,negated_conjecture,
    ( ~ vertical_2_2
    | ~ horizontal_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_2) ).

fof(f59,negated_conjecture,
    ( ~ vertical_2_2
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_2) ).

fof(f60,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_2) ).

fof(f67,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_4) ).

fof(f68,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_4) ).

fof(f69,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_4) ).

fof(f70,negated_conjecture,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_4) ).

fof(f71,negated_conjecture,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_4) ).

fof(f72,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_4) ).

fof(f79,negated_conjecture,
    ( ~ vertical_2_6
    | ~ horizontal_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_6) ).

fof(f80,negated_conjecture,
    ( ~ vertical_2_6
    | ~ vertical_1_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_6) ).

fof(f81,negated_conjecture,
    ( ~ horizontal_2_5
    | ~ vertical_1_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_6) ).

fof(f82,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_1) ).

fof(f83,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_1) ).

fof(f84,negated_conjecture,
    ( ~ vertical_3_1
    | ~ vertical_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_1) ).

fof(f91,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_3) ).

fof(f92,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_3) ).

fof(f93,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_3) ).

fof(f94,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_3) ).

fof(f95,negated_conjecture,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_3) ).

fof(f96,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_3) ).

fof(f101,negated_conjecture,
    ( ~ vertical_3_4
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_4) ).

fof(f103,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ vertical_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_5) ).

fof(f104,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ horizontal_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_5) ).

fof(f105,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_5) ).

fof(f106,negated_conjecture,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_5) ).

fof(f107,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_5) ).

fof(f108,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_5) ).

fof(f115,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_2) ).

fof(f116,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_2) ).

fof(f117,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_2) ).

fof(f118,negated_conjecture,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_2) ).

fof(f119,negated_conjecture,
    ( ~ vertical_4_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_2) ).

fof(f120,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_2) ).

fof(f127,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_4) ).

fof(f128,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_4) ).

fof(f129,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_4) ).

fof(f130,negated_conjecture,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_4) ).

fof(f131,negated_conjecture,
    ( ~ vertical_4_4
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_4) ).

fof(f132,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_4) ).

fof(f139,negated_conjecture,
    ( ~ vertical_4_6
    | ~ horizontal_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_6) ).

fof(f140,negated_conjecture,
    ( ~ vertical_4_6
    | ~ vertical_3_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_6) ).

fof(f141,negated_conjecture,
    ( ~ horizontal_4_5
    | ~ vertical_3_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_6) ).

fof(f142,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_5_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_5_1) ).

fof(f143,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_1) ).

fof(f144,negated_conjecture,
    ( ~ vertical_5_1
    | ~ vertical_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_5_1) ).

fof(f151,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_5_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_5_3) ).

fof(f152,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_3) ).

fof(f153,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_3) ).

fof(f154,negated_conjecture,
    ( ~ vertical_5_3
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_5_3) ).

fof(f155,negated_conjecture,
    ( ~ vertical_5_3
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_5_3) ).

fof(f156,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_3) ).

fof(f163,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ vertical_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_5_5) ).

fof(f164,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ horizontal_5_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_5) ).

fof(f165,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ vertical_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_5) ).

fof(f166,negated_conjecture,
    ( ~ vertical_5_5
    | ~ horizontal_5_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_5_5) ).

fof(f167,negated_conjecture,
    ( ~ vertical_5_5
    | ~ vertical_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_5_5) ).

fof(f168,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_5) ).

fof(f173,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ horizontal_6_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_6_2) ).

fof(f174,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ vertical_5_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_6_2) ).

fof(f175,negated_conjecture,
    ( ~ horizontal_6_1
    | ~ vertical_5_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_6_2) ).

fof(f179,negated_conjecture,
    ( ~ horizontal_6_4
    | ~ horizontal_6_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_6_4) ).

fof(f180,negated_conjecture,
    ( ~ horizontal_6_4
    | ~ vertical_5_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_6_4) ).

fof(f181,negated_conjecture,
    ( ~ horizontal_6_3
    | ~ vertical_5_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_6_4) ).

fof(f186,definition,
    ( spl0_1
  <=> vertical_5_5 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f190,definition,
    ( spl0_2
  <=> horizontal_6_4 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f195,definition,
    ( spl0_3
  <=> horizontal_6_5 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f201,definition,
    ( spl0_4
  <=> vertical_5_4 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f205,definition,
    ( spl0_5
  <=> horizontal_6_3 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f208,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f181,f205,f201]) ).

fof(f209,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f180,f190,f201]) ).

fof(f210,plain,
    ( ~ spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f179,f190,f205]) ).

fof(f212,definition,
    ( spl0_6
  <=> vertical_5_3 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f216,definition,
    ( spl0_7
  <=> horizontal_6_2 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f223,definition,
    ( spl0_8
  <=> vertical_5_2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f227,definition,
    ( spl0_9
  <=> horizontal_6_1 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f230,plain,
    ( ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f175,f227,f223]) ).

fof(f231,plain,
    ( ~ spl0_8
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f174,f216,f223]) ).

fof(f232,plain,
    ( ~ spl0_9
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f173,f216,f227]) ).

fof(f234,definition,
    ( spl0_10
  <=> vertical_5_1 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f239,definition,
    ( spl0_11
  <=> vertical_4_6 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f243,definition,
    ( spl0_12
  <=> horizontal_5_5 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f248,definition,
    ( spl0_13
  <=> vertical_5_6 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_14
  <=> vertical_4_5 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_15
  <=> horizontal_5_4 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f261,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f168,f258,f254]) ).

fof(f262,plain,
    ( ~ spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f186,f254]) ).

fof(f263,plain,
    ( ~ spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f186,f258]) ).

fof(f264,plain,
    ( ~ spl0_14
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f165,f243,f254]) ).

fof(f265,plain,
    ( ~ spl0_15
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f164,f243,f258]) ).

fof(f266,plain,
    ( ~ spl0_1
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f163,f243,f186]) ).

fof(f268,definition,
    ( spl0_16
  <=> vertical_4_4 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f272,definition,
    ( spl0_17
  <=> horizontal_5_3 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_18
  <=> vertical_4_3 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_19
  <=> horizontal_5_2 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f289,plain,
    ( ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f156,f286,f282]) ).

fof(f290,plain,
    ( ~ spl0_18
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f155,f212,f282]) ).

fof(f291,plain,
    ( ~ spl0_19
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f154,f212,f286]) ).

fof(f292,plain,
    ( ~ spl0_18
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f153,f272,f282]) ).

fof(f293,plain,
    ( ~ spl0_19
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f152,f272,f286]) ).

fof(f294,plain,
    ( ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f151,f272,f212]) ).

fof(f296,definition,
    ( spl0_20
  <=> vertical_4_2 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_21
  <=> horizontal_5_1 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f310,definition,
    ( spl0_22
  <=> vertical_4_1 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f313,plain,
    ( ~ spl0_22
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f144,f234,f310]) ).

fof(f314,plain,
    ( ~ spl0_22
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f143,f300,f310]) ).

fof(f315,plain,
    ( ~ spl0_10
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f142,f300,f234]) ).

fof(f317,definition,
    ( spl0_23
  <=> vertical_3_6 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f321,definition,
    ( spl0_24
  <=> horizontal_4_5 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f324,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f141,f321,f317]) ).

fof(f325,plain,
    ( ~ spl0_23
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f140,f239,f317]) ).

fof(f326,plain,
    ( ~ spl0_24
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f139,f239,f321]) ).

fof(f328,definition,
    ( spl0_25
  <=> vertical_3_5 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f332,definition,
    ( spl0_26
  <=> horizontal_4_4 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_27
  <=> vertical_3_4 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f346,definition,
    ( spl0_28
  <=> horizontal_4_3 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f349,plain,
    ( ~ spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f132,f346,f342]) ).

fof(f350,plain,
    ( ~ spl0_27
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f131,f268,f342]) ).

fof(f351,plain,
    ( ~ spl0_28
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f130,f268,f346]) ).

fof(f352,plain,
    ( ~ spl0_27
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f129,f332,f342]) ).

fof(f353,plain,
    ( ~ spl0_28
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f128,f332,f346]) ).

fof(f354,plain,
    ( ~ spl0_16
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f127,f332,f268]) ).

fof(f356,definition,
    ( spl0_29
  <=> vertical_3_3 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f360,definition,
    ( spl0_30
  <=> horizontal_4_2 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f370,definition,
    ( spl0_31
  <=> vertical_3_2 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f374,definition,
    ( spl0_32
  <=> horizontal_4_1 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f377,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f120,f374,f370]) ).

fof(f378,plain,
    ( ~ spl0_31
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f119,f296,f370]) ).

fof(f379,plain,
    ( ~ spl0_32
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f118,f296,f374]) ).

fof(f380,plain,
    ( ~ spl0_31
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f117,f360,f370]) ).

fof(f381,plain,
    ( ~ spl0_32
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f116,f360,f374]) ).

fof(f382,plain,
    ( ~ spl0_20
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f115,f360,f296]) ).

fof(f384,definition,
    ( spl0_33
  <=> vertical_3_1 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f391,definition,
    ( spl0_34
  <=> vertical_2_6 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_35
  <=> horizontal_3_5 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f402,definition,
    ( spl0_36
  <=> vertical_2_5 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f406,definition,
    ( spl0_37
  <=> horizontal_3_4 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f409,plain,
    ( ~ spl0_36
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f108,f406,f402]) ).

fof(f410,plain,
    ( ~ spl0_36
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f107,f328,f402]) ).

fof(f411,plain,
    ( ~ spl0_37
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f106,f328,f406]) ).

fof(f412,plain,
    ( ~ spl0_36
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f105,f395,f402]) ).

fof(f413,plain,
    ( ~ spl0_37
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f104,f395,f406]) ).

fof(f414,plain,
    ( ~ spl0_25
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f103,f395,f328]) ).

fof(f416,definition,
    ( spl0_38
  <=> vertical_2_4 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f420,definition,
    ( spl0_39
  <=> horizontal_3_3 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f424,plain,
    ( ~ spl0_38
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f101,f342,f416]) ).

fof(f430,definition,
    ( spl0_40
  <=> vertical_2_3 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f434,definition,
    ( spl0_41
  <=> horizontal_3_2 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f437,plain,
    ( ~ spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f96,f434,f430]) ).

fof(f438,plain,
    ( ~ spl0_40
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f95,f356,f430]) ).

fof(f439,plain,
    ( ~ spl0_41
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f94,f356,f434]) ).

fof(f440,plain,
    ( ~ spl0_40
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f93,f420,f430]) ).

fof(f441,plain,
    ( ~ spl0_41
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f92,f420,f434]) ).

fof(f442,plain,
    ( ~ spl0_29
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f91,f420,f356]) ).

fof(f444,definition,
    ( spl0_42
  <=> vertical_2_2 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f448,definition,
    ( spl0_43
  <=> horizontal_3_1 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f458,definition,
    ( spl0_44
  <=> vertical_2_1 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f461,plain,
    ( ~ spl0_44
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f84,f384,f458]) ).

fof(f462,plain,
    ( ~ spl0_44
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f83,f448,f458]) ).

fof(f463,plain,
    ( ~ spl0_33
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f82,f448,f384]) ).

fof(f465,definition,
    ( spl0_45
  <=> vertical_1_6 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f469,definition,
    ( spl0_46
  <=> horizontal_2_5 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f472,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f81,f469,f465]) ).

fof(f473,plain,
    ( ~ spl0_45
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f80,f391,f465]) ).

fof(f474,plain,
    ( ~ spl0_46
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f79,f391,f469]) ).

fof(f476,definition,
    ( spl0_47
  <=> vertical_1_5 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f480,definition,
    ( spl0_48
  <=> horizontal_2_4 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f490,definition,
    ( spl0_49
  <=> vertical_1_4 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f494,definition,
    ( spl0_50
  <=> horizontal_2_3 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f497,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f72,f494,f490]) ).

fof(f498,plain,
    ( ~ spl0_49
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f71,f416,f490]) ).

fof(f499,plain,
    ( ~ spl0_50
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f70,f416,f494]) ).

fof(f500,plain,
    ( ~ spl0_49
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f69,f480,f490]) ).

fof(f501,plain,
    ( ~ spl0_50
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f68,f480,f494]) ).

fof(f502,plain,
    ( ~ spl0_38
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f67,f480,f416]) ).

fof(f504,definition,
    ( spl0_51
  <=> vertical_1_3 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f508,definition,
    ( spl0_52
  <=> horizontal_2_2 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f518,definition,
    ( spl0_53
  <=> vertical_1_2 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f522,definition,
    ( spl0_54
  <=> horizontal_2_1 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f525,plain,
    ( ~ spl0_53
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f60,f522,f518]) ).

fof(f526,plain,
    ( ~ spl0_53
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f59,f444,f518]) ).

fof(f527,plain,
    ( ~ spl0_54
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f58,f444,f522]) ).

fof(f528,plain,
    ( ~ spl0_53
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f57,f508,f518]) ).

fof(f529,plain,
    ( ~ spl0_54
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f56,f508,f522]) ).

fof(f532,definition,
    ( spl0_55
  <=> vertical_1_1 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f539,definition,
    ( spl0_56
  <=> horizontal_1_5 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f544,definition,
    ( spl0_57
  <=> horizontal_1_4 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f547,plain,
    ( ~ spl0_57
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f50,f476,f544]) ).

fof(f548,plain,
    ( ~ spl0_57
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f49,f539,f544]) ).

fof(f549,plain,
    ( ~ spl0_47
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f48,f539,f476]) ).

fof(f551,definition,
    ( spl0_58
  <=> horizontal_1_3 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f558,definition,
    ( spl0_59
  <=> horizontal_1_2 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f561,plain,
    ( ~ spl0_59
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f44,f504,f558]) ).

fof(f562,plain,
    ( ~ spl0_59
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f43,f551,f558]) ).

fof(f563,plain,
    ( ~ spl0_51
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f42,f551,f504]) ).

fof(f565,definition,
    ( spl0_60
  <=> horizontal_1_1 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f571,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f38,f195,f190,f186]) ).

fof(f573,plain,
    ( spl0_6
    | spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f36,f205,f216,f212]) ).

fof(f575,plain,
    ( spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f34,f227,f234]) ).

fof(f576,plain,
    ( spl0_11
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f33,f248,f243,f239]) ).

fof(f578,plain,
    ( spl0_16
    | spl0_17
    | spl0_4
    | spl0_15 ),
    inference(avatar_split_clause,[],[f31,f258,f201,f272,f268]) ).

fof(f580,plain,
    ( spl0_20
    | spl0_21
    | spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f29,f286,f223,f300,f296]) ).

fof(f583,plain,
    ( spl0_25
    | spl0_26
    | spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f26,f321,f254,f332,f328]) ).

fof(f585,plain,
    ( spl0_29
    | spl0_30
    | spl0_18
    | spl0_28 ),
    inference(avatar_split_clause,[],[f24,f346,f282,f360,f356]) ).

fof(f587,plain,
    ( spl0_33
    | spl0_22
    | spl0_32 ),
    inference(avatar_split_clause,[],[f22,f374,f310,f384]) ).

fof(f588,plain,
    ( spl0_34
    | spl0_35
    | spl0_23 ),
    inference(avatar_split_clause,[],[f21,f317,f395,f391]) ).

fof(f590,plain,
    ( spl0_38
    | spl0_39
    | spl0_27
    | spl0_37 ),
    inference(avatar_split_clause,[],[f19,f406,f342,f420,f416]) ).

fof(f592,plain,
    ( spl0_42
    | spl0_43
    | spl0_31
    | spl0_41 ),
    inference(avatar_split_clause,[],[f17,f434,f370,f448,f444]) ).

fof(f595,plain,
    ( spl0_47
    | spl0_48
    | spl0_36
    | spl0_46 ),
    inference(avatar_split_clause,[],[f14,f469,f402,f480,f476]) ).

fof(f597,plain,
    ( spl0_51
    | spl0_52
    | spl0_40
    | spl0_50 ),
    inference(avatar_split_clause,[],[f12,f494,f430,f508,f504]) ).

fof(f599,plain,
    ( spl0_55
    | spl0_44
    | spl0_54 ),
    inference(avatar_split_clause,[],[f10,f522,f458,f532]) ).

fof(f600,plain,
    ( spl0_56
    | spl0_45 ),
    inference(avatar_split_clause,[],[f9,f465,f539]) ).

fof(f602,plain,
    ( spl0_58
    | spl0_49
    | spl0_57 ),
    inference(avatar_split_clause,[],[f7,f544,f490,f551]) ).

fof(f604,plain,
    ( spl0_60
    | spl0_53
    | spl0_59 ),
    inference(avatar_split_clause,[],[f5,f558,f518,f565]) ).

fof(f605,plain,
    ~ spl0_13,
    inference(avatar_split_clause,[],[f4,f248]) ).

fof(f606,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f3,f195]) ).

fof(f607,plain,
    ~ spl0_55,
    inference(avatar_split_clause,[],[f2,f532]) ).

fof(f608,plain,
    ~ spl0_60,
    inference(avatar_split_clause,[],[f1,f565]) ).

cnf(s4,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f208]) ).

cnf(s5,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f209]) ).

cnf(s6,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f210]) ).

cnf(s10,plain,
    ( ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s11,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f231]) ).

cnf(s12,plain,
    ( ~ spl0_7
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f232]) ).

cnf(s17,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s18,plain,
    ( ~ spl0_1
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s19,plain,
    ( ~ spl0_1
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s20,plain,
    ( ~ spl0_12
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s21,plain,
    ( ~ spl0_12
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s22,plain,
    ( ~ spl0_1
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s29,plain,
    ( ~ spl0_18
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f289]) ).

cnf(s30,plain,
    ( ~ spl0_6
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s31,plain,
    ( ~ spl0_6
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s32,plain,
    ( ~ spl0_17
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s33,plain,
    ( ~ spl0_17
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s34,plain,
    ( ~ spl0_6
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s41,plain,
    ( ~ spl0_10
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s42,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s43,plain,
    ( ~ spl0_10
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s44,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f324]) ).

cnf(s45,plain,
    ( ~ spl0_11
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s46,plain,
    ( ~ spl0_11
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s53,plain,
    ( ~ spl0_27
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s54,plain,
    ( ~ spl0_16
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s55,plain,
    ( ~ spl0_16
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s56,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s57,plain,
    ( ~ spl0_26
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s58,plain,
    ( ~ spl0_16
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s65,plain,
    ( ~ spl0_31
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s66,plain,
    ( ~ spl0_20
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s67,plain,
    ( ~ spl0_20
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s68,plain,
    ( ~ spl0_30
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s69,plain,
    ( ~ spl0_30
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s70,plain,
    ( ~ spl0_20
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s77,plain,
    ( ~ spl0_36
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s78,plain,
    ( ~ spl0_25
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s79,plain,
    ( ~ spl0_25
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s80,plain,
    ( ~ spl0_35
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s81,plain,
    ( ~ spl0_35
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s82,plain,
    ( ~ spl0_25
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s84,plain,
    ( ~ spl0_27
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s89,plain,
    ( ~ spl0_40
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s90,plain,
    ( ~ spl0_29
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s91,plain,
    ( ~ spl0_29
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s92,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s93,plain,
    ( ~ spl0_39
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s94,plain,
    ( ~ spl0_29
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s101,plain,
    ( ~ spl0_33
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s102,plain,
    ( ~ spl0_43
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s103,plain,
    ( ~ spl0_33
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s104,plain,
    ( ~ spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s105,plain,
    ( ~ spl0_34
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s106,plain,
    ( ~ spl0_34
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s113,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s114,plain,
    ( ~ spl0_38
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s115,plain,
    ( ~ spl0_38
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s116,plain,
    ( ~ spl0_48
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s117,plain,
    ( ~ spl0_48
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s118,plain,
    ( ~ spl0_38
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s125,plain,
    ( ~ spl0_53
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s126,plain,
    ( ~ spl0_42
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s127,plain,
    ( ~ spl0_42
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s128,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s129,plain,
    ( ~ spl0_52
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s135,plain,
    ( ~ spl0_47
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s136,plain,
    ( ~ spl0_56
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s137,plain,
    ( ~ spl0_47
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s141,plain,
    ( ~ spl0_51
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s142,plain,
    ( ~ spl0_58
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s143,plain,
    ( ~ spl0_51
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s147,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s149,plain,
    ( spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s151,plain,
    ( spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s152,plain,
    ( spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s154,plain,
    ( spl0_4
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s156,plain,
    ( spl0_8
    | spl0_19
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s159,plain,
    ( spl0_14
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s161,plain,
    ( spl0_18
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s163,plain,
    ( spl0_22
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s164,plain,
    ( spl0_23
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s166,plain,
    ( spl0_27
    | spl0_37
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s168,plain,
    ( spl0_31
    | spl0_41
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s171,plain,
    ( spl0_36
    | spl0_46
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s173,plain,
    ( spl0_40
    | spl0_50
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s175,plain,
    ( spl0_44
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s176,plain,
    ( spl0_45
    | spl0_56 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s178,plain,
    ( spl0_49
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s180,plain,
    ( spl0_53
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s181,plain,
    ~ spl0_13,
    inference(sat_conversion,[],[f605]) ).

cnf(s182,plain,
    ~ spl0_3,
    inference(sat_conversion,[],[f606]) ).

cnf(s183,plain,
    ~ spl0_55,
    inference(sat_conversion,[],[f607]) ).

cnf(s184,plain,
    ~ spl0_60,
    inference(sat_conversion,[],[f608]) ).

cnf(s185,plain,
    ( spl0_53
    | spl0_59 ),
    inference(rat,[],[s180,s184]) ).

cnf(s186,plain,
    ( spl0_44
    | spl0_54 ),
    inference(rat,[],[s175,s183]) ).

cnf(s187,plain,
    ( spl0_11
    | spl0_12 ),
    inference(rat,[],[s152,s181]) ).

cnf(s188,plain,
    ( spl0_1
    | spl0_2 ),
    inference(rat,[],[s147,s182]) ).

cnf(s189,plain,
    ( ~ spl0_17
    | ~ spl0_7 ),
    inference(rat,[],[s104,s176,s171,s135,s136,s77,s178,s166,s113,s115,s117,s53,s173,s161,s141,s142,s89,s91,s93,s185,s168,s125,s127,s129,s186,s101,s103,s163,s66,s67,s70,s156,s32,s33,s11,s43,s41,s151,s12]) ).

cnf(s190,plain,
    ( ~ spl0_30
    | spl0_27
    | spl0_22 ),
    inference(rat,[],[s104,s176,s171,s135,s136,s77,s178,s166,s113,s115,s117,s173,s141,s142,s89,s93,s185,s168,s125,s127,s129,s186,s101,s103,s163,s68,s69]) ).

cnf(s191,plain,
    ( ~ spl0_34
    | spl0_36
    | spl0_40 ),
    inference(rat,[],[s128,s185,s173,s142,s143,s178,s116,s117,s171,s136,s137,s176,s105,s106]) ).

cnf(s192,plain,
    ( ~ spl0_37
    | spl0_34
    | spl0_26
    | spl0_14 ),
    inference(rat,[],[s44,s159,s164,s79,s81]) ).

cnf(s193,plain,
    ( ~ spl0_58
    | spl0_50
    | spl0_40 ),
    inference(rat,[],[s128,s185,s173,s142,s143]) ).

cnf(s194,plain,
    ( spl0_36
    | ~ spl0_29
    | spl0_27
    | spl0_26
    | spl0_14 ),
    inference(rat,[],[s104,s171,s176,s135,s136,s178,s193,s114,s115,s118,s166,s192,s191,s94,s90]) ).

cnf(s195,plain,
    ( ~ spl0_29
    | spl0_27
    | spl0_26
    | spl0_14 ),
    inference(rat,[],[s136,s176,s178,s105,s193,s164,s114,s115,s44,s166,s159,s77,s78,s80,s194,s90,s94]) ).

cnf(s196,plain,
    ( ~ spl0_12
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s191,s192,s77,s166,s115,s173,s141,s89,s93,s185,s168,s125,s127,s129,s186,s101,s103,s163,s66,s67,s156,s29,s161,s195,s190,s54,s55,s58,s154,s20,s21,s11,s43,s41,s151,s12,s189]) ).

cnf(s197,plain,
    ( ~ spl0_38
    | spl0_36
    | spl0_58 ),
    inference(rat,[],[s104,s171,s176,s135,s136,s178,s114,s118]) ).

cnf(s198,plain,
    ( spl0_36
    | spl0_58
    | ~ spl0_29
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s17,s154,s159,s54,s56,s166,s197,s81,s82,s164,s191,s189,s46,s45,s187,s196,s94,s90]) ).

cnf(s199,plain,
    ( spl0_58
    | ~ spl0_29
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s17,s154,s159,s54,s56,s166,s114,s178,s136,s176,s105,s164,s77,s78,s80,s198,s189,s46,s45,s187,s196,s94]) ).

cnf(s200,plain,
    ( ~ spl0_29
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s65,s163,s168,s101,s102,s186,s125,s126,s185,s142,s199,s91,s41,s151,s12]) ).

cnf(s201,plain,
    ( ~ spl0_58
    | spl0_40
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s159,s79,s17,s166,s154,s53,s55,s57,s161,s93,s29,s168,s156,s65,s67,s69,s163,s101,s102,s186,s125,s126,s115,s185,s193,s142,s11,s43,s41,s151,s12,s189,s46,s187,s196,s200]) ).

cnf(s202,plain,
    ( ~ spl0_38
    | spl0_58
    | spl0_23 ),
    inference(rat,[],[s105,s176,s164,s136,s80,s178,s197,s114]) ).

cnf(s203,plain,
    ( ~ spl0_16
    | spl0_37
    | spl0_38
    | spl0_29
    | spl0_22
    | spl0_21
    | spl0_8 ),
    inference(rat,[],[s127,s186,s168,s101,s103,s163,s66,s67,s156,s29,s93,s161,s166,s190,s54,s55]) ).

cnf(s204,plain,
    ( ~ spl0_35
    | spl0_38
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s127,s186,s168,s101,s103,s163,s66,s67,s156,s29,s93,s161,s166,s190,s56,s57,s159,s17,s154,s203,s81,s82,s11,s43,s41,s151,s12,s189,s46,s187,s196,s200]) ).

cnf(s205,plain,
    ( spl0_40
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s127,s186,s168,s101,s103,s163,s66,s67,s156,s29,s93,s161,s166,s190,s56,s57,s159,s17,s154,s203,s77,s78,s191,s164,s204,s202,s201,s11,s43,s41,s151,s12,s189,s46,s45,s187,s196,s200]) ).

cnf(s206,plain,
    ( ~ spl0_53
    | spl0_41
    | spl0_22 ),
    inference(rat,[],[s65,s163,s168,s101,s102,s186,s125,s126]) ).

cnf(s207,plain,
    ( ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s159,s17,s56,s154,s166,s203,s77,s78,s171,s116,s178,s136,s137,s176,s105,s106,s164,s204,s202,s142,s185,s206,s89,s92,s205,s200,s45,s46,s187,s196,s189,s41,s43,s151,s11,s12]) ).

cnf(s208,plain,
    ( spl0_41
    | ~ spl0_53
    | spl0_19 ),
    inference(rat,[],[s10,s156,s151,s66,s41,s42,s168,s206,s126,s102,s186,s125]) ).

cnf(s209,plain,
    ( ~ spl0_28
    | ~ spl0_58
    | spl0_40
    | ~ spl0_2 ),
    inference(rat,[],[s191,s192,s77,s17,s166,s154,s53,s55,s57,s34,s115,s193,s93,s208,s185,s142,s31,s149,s207,s5,s6]) ).

cnf(s210,plain,
    ( ~ spl0_58
    | spl0_40
    | ~ spl0_2 ),
    inference(rat,[],[s10,s151,s156,s41,s42,s163,s69,s70,s161,s209,s91,s208,s101,s186,s125,s185,s142,s31,s30,s149,s207,s5,s6]) ).

cnf(s211,plain,
    ( ~ spl0_38
    | ~ spl0_29
    | spl0_58
    | ~ spl0_2 ),
    inference(rat,[],[s58,s195,s154,s20,s21,s187,s45,s202,s84,s34,s149,s207,s5,s6]) ).

cnf(s212,plain,
    ( ~ spl0_16
    | spl0_38
    | ~ spl0_29
    | spl0_40 ),
    inference(rat,[],[s164,s45,s191,s187,s77,s81,s20,s166,s195,s54,s58,s94]) ).

cnf(s213,plain,
    ( ~ spl0_37
    | spl0_23
    | spl0_40 ),
    inference(rat,[],[s191,s164,s77,s81]) ).

cnf(s214,plain,
    ( ~ spl0_29
    | spl0_40
    | ~ spl0_2 ),
    inference(rat,[],[s191,s164,s78,s82,s159,s56,s166,s213,s45,s46,s187,s17,s21,s154,s212,s211,s94,s34,s149,s207,s5,s6,s210]) ).

cnf(s216,plain,
    ( ~ spl0_16
    | spl0_29
    | ~ spl0_6 ),
    inference(rat,[],[s10,s151,s156,s41,s42,s190,s70,s161,s54,s55,s31,s30]) ).

cnf(s217,plain,
    ( ~ spl0_26
    | spl0_29
    | ~ spl0_6 ),
    inference(rat,[],[s10,s151,s156,s41,s42,s190,s70,s161,s56,s57,s31,s30]) ).

cnf(s218,plain,
    ( spl0_40
    | ~ spl0_2 ),
    inference(rat,[],[s191,s164,s78,s82,s159,s217,s45,s46,s187,s17,s21,s154,s216,s214,s34,s149,s207,s5,s6]) ).

cnf(s219,plain,
    ~ spl0_2,
    inference(rat,[],[s116,s178,s171,s136,s137,s176,s105,s106,s164,s78,s82,s159,s45,s46,s187,s142,s17,s21,s185,s154,s208,s217,s216,s89,s90,s218,s31,s34,s149,s207,s5,s6]) ).

cnf(s220,plain,
    spl0_1,
    inference(rat,[],[s188,s219]) ).

cnf(s221,plain,
    ~ spl0_12,
    inference(rat,[],[s22,s220]) ).

cnf(s222,plain,
    ~ spl0_15,
    inference(rat,[],[s19,s220]) ).

cnf(s223,plain,
    ~ spl0_14,
    inference(rat,[],[s18,s220]) ).

cnf(s224,plain,
    spl0_11,
    inference(rat,[],[s187,s221]) ).

cnf(s225,plain,
    ~ spl0_24,
    inference(rat,[],[s46,s224]) ).

cnf(s226,plain,
    ~ spl0_23,
    inference(rat,[],[s45,s224]) ).

cnf(s227,plain,
    ( ~ spl0_58
    | ~ spl0_29
    | spl0_40 ),
    inference(rat,[],[s149,s12,s4,s151,s154,s41,s31,s33,s212,s206,s208,s115,s185,s193,s142,s91,s222]) ).

cnf(s228,plain,
    ( ~ spl0_25
    | spl0_40 ),
    inference(rat,[],[s191,s164,s78,s82,s226]) ).

cnf(s229,plain,
    ( ~ spl0_29
    | spl0_40 ),
    inference(rat,[],[s202,s166,s227,s94,s213,s56,s159,s228,s226,s223,s225]) ).

cnf(s230,plain,
    ( ~ spl0_58
    | spl0_40 ),
    inference(rat,[],[s161,s68,s29,s168,s208,s102,s93,s186,s166,s125,s126,s115,s185,s193,s142,s213,s57,s56,s159,s228,s229,s223,s225,s226]) ).

cnf(s231,plain,
    ( ~ spl0_17
    | spl0_40 ),
    inference(rat,[],[s10,s151,s156,s41,s42,s190,s70,s161,s32,s33,s57,s56,s159,s228,s229,s223,s225]) ).

cnf(s232,plain,
    spl0_40,
    inference(rat,[],[s127,s186,s168,s101,s103,s163,s66,s67,s156,s29,s161,s190,s41,s43,s151,s11,s12,s149,s4,s154,s231,s93,s166,s202,s230,s217,s229,s56,s57,s58,s159,s228,s213,s222,s226,s225,s223]) ).

cnf(s236,plain,
    ~ spl0_39,
    inference(rat,[],[s92,s232]) ).

cnf(s237,plain,
    ~ spl0_29,
    inference(rat,[],[s90,s232]) ).

cnf(s238,plain,
    ~ spl0_41,
    inference(rat,[],[s89,s232]) ).

cnf(s239,plain,
    ~ spl0_53,
    inference(rat,[],[s154,s55,s4,s161,s149,s68,s12,s168,s151,s102,s41,s29,s31,s33,s186,s206,s208,s125,s126,s222,s237,s238]) ).

cnf(s240,plain,
    spl0_59,
    inference(rat,[],[s185,s239]) ).

cnf(s241,plain,
    ~ spl0_58,
    inference(rat,[],[s142,s240]) ).

cnf(s242,plain,
    ~ spl0_38,
    inference(rat,[],[s202,s226,s241]) ).

cnf(s243,plain,
    ~ spl0_37,
    inference(rat,[],[s116,s178,s171,s136,s137,s176,s105,s106,s164,s77,s81,s241,s226]) ).

cnf(s244,plain,
    spl0_27,
    inference(rat,[],[s166,s236,s242,s243]) ).

cnf(s245,plain,
    ~ spl0_26,
    inference(rat,[],[s56,s244]) ).

cnf(s248,plain,
    spl0_25,
    inference(rat,[],[s159,s223,s225,s245]) ).

cnf(s249,plain,
    ~ spl0_35,
    inference(rat,[],[s82,s248]) ).

cnf(s250,plain,
    ~ spl0_36,
    inference(rat,[],[s78,s248]) ).

cnf(s251,plain,
    spl0_34,
    inference(rat,[],[s164,s226,s249]) ).

cnf(s252,plain,
    ~ spl0_46,
    inference(rat,[],[s106,s251]) ).

cnf(s253,plain,
    ~ spl0_45,
    inference(rat,[],[s105,s251]) ).

cnf(s254,plain,
    spl0_56,
    inference(rat,[],[s176,s253]) ).

cnf(s255,plain,
    ~ spl0_47,
    inference(rat,[],[s137,s254]) ).

cnf(s256,plain,
    ~ spl0_57,
    inference(rat,[],[s136,s254]) ).

cnf(s257,plain,
    spl0_48,
    inference(rat,[],[s171,s252,s250,s255]) ).

cnf(s258,plain,
    spl0_49,
    inference(rat,[],[s178,s241,s256]) ).

cnf(s259,plain,
    $false,
    inference(rat,[],[s116,s258,s257]) ).

fof(f609,plain,
    $false,
    inference(avatar_sat_refutation,[],[s259]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n019.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 22:29:33 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.45  Running first-order theorem proving
% 0.16/0.45  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/1.62  % (3477795)Input is clausal, will run a generic CNF schedule.
% 1.82/1.62  % (3477805)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1387688760:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.82/1.62  % (3477805)First to succeed.
% 1.82/1.62  % (3477801)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4267336651:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.82/1.62  % (3477804)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2412819345:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.82/1.62  % (3477803)lrs+10_1_sil=8000:sp=occurrence:random_seed=1174893351:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.82/1.62  % (3477800)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1612126261:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.82/1.62  % (3477802)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1720087527:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.82/1.62  % (3477805)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3477795"
% 1.82/1.62  % (3477804)Also succeeded, but the first one will report.
% 1.82/1.62  % (3477803)Also succeeded, but the first one will report.
% 1.82/1.62  % (3477806)dis-21_1_sil=8000:lcm=predicate:random_seed=2377745876:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.82/1.62  % (3477806)Also succeeded, but the first one will report.
% 1.82/1.62  % (3477805)Refutation found. Thanks to Tanya!
% 1.82/1.62  % SZS status Unsatisfiable for theBenchmark
% 1.82/1.62  % SZS output start Proof for theBenchmark
% See solution above
% 4.63/1.96  % (3477805)------------------------------
% 4.63/1.96  % (3477805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.96  % (3477805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.96  % (3477805)CaDiCaL version: 2.1.3
% 4.63/1.96  % (3477805)Termination reason: Refutation
% 4.63/1.96  % (3477805)Time elapsed: 0.006 s
% 4.63/1.96  % (3477805)Peak memory usage: 89 MB
% 4.63/1.96  % (3477805)Instructions burned: 9 (million)
% 4.63/1.96  % (3477805)------------------------------
% 4.63/1.96  % (3477805)------------------------------
% 4.63/1.96  % (3477795)Success in time 0.549 s
% 4.63/1.96  % Vampire exiting
%------------------------------------------------------------------------------