TSTP Solution File: SYN450+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN450+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:05 EDT 2022

% Result   : Theorem 2.51s 0.70s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  119
% Syntax   : Number of formulae    :  474 (   1 unt;   0 def)
%            Number of atoms       : 5015 (   0 equ)
%            Maximal formula atoms :  599 (  10 avg)
%            Number of connectives : 6696 (2155   ~;2989   |;1074   &)
%                                         ( 118 <=>; 360  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   99 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  154 ( 153 usr; 150 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  625 ( 625   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2041,plain,
    $false,
    inference(avatar_sat_refutation,[],[f201,f210,f219,f244,f252,f271,f290,f316,f321,f335,f344,f350,f370,f375,f387,f393,f403,f409,f423,f443,f448,f458,f464,f473,f479,f494,f509,f518,f519,f534,f541,f546,f547,f552,f554,f559,f560,f565,f593,f594,f599,f610,f615,f621,f627,f632,f642,f654,f659,f664,f669,f683,f688,f699,f704,f709,f714,f731,f736,f738,f743,f744,f755,f760,f766,f775,f780,f790,f801,f806,f807,f812,f817,f830,f835,f841,f851,f859,f861,f866,f868,f870,f880,f888,f905,f906,f908,f913,f918,f924,f929,f934,f939,f949,f954,f958,f974,f985,f986,f993,f1001,f1005,f1006,f1019,f1020,f1022,f1024,f1034,f1066,f1067,f1074,f1075,f1089,f1093,f1094,f1163,f1226,f1249,f1270,f1288,f1309,f1390,f1408,f1460,f1584,f1588,f1594,f1656,f1658,f1659,f1661,f1670,f1673,f1691,f1740,f1783,f1813,f1817,f1828,f1829,f1867,f1869,f1962,f2008,f2009,f2038,f2039]) ).

fof(f2039,plain,
    ( ~ spl0_170
    | spl0_42
    | ~ spl0_77
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2018,f680,f536,f367,f1306]) ).

fof(f1306,plain,
    ( spl0_170
  <=> c2_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f367,plain,
    ( spl0_42
  <=> c1_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f536,plain,
    ( spl0_77
  <=> ! [X60] :
        ( c1_1(X60)
        | ~ c0_1(X60)
        | ~ c2_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f680,plain,
    ( spl0_106
  <=> c0_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2018,plain,
    ( c1_1(a642)
    | ~ c2_1(a642)
    | ~ spl0_77
    | ~ spl0_106 ),
    inference(resolution,[],[f537,f682]) ).

fof(f682,plain,
    ( c0_1(a642)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f537,plain,
    ( ! [X60] :
        ( ~ c0_1(X60)
        | ~ c2_1(X60)
        | c1_1(X60) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f2038,plain,
    ( ~ spl0_24
    | spl0_137
    | ~ spl0_77
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2025,f1436,f536,f848,f283]) ).

fof(f283,plain,
    ( spl0_24
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f848,plain,
    ( spl0_137
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1436,plain,
    ( spl0_172
  <=> c0_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2025,plain,
    ( c1_1(a675)
    | ~ c2_1(a675)
    | ~ spl0_77
    | ~ spl0_172 ),
    inference(resolution,[],[f537,f1438]) ).

fof(f1438,plain,
    ( c0_1(a675)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1436]) ).

fof(f2009,plain,
    ( spl0_90
    | spl0_107
    | ~ spl0_63
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2000,f539,f466,f685,f596]) ).

fof(f596,plain,
    ( spl0_90
  <=> c1_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f685,plain,
    ( spl0_107
  <=> c3_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f466,plain,
    ( spl0_63
  <=> c0_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f539,plain,
    ( spl0_78
  <=> ! [X61] :
        ( c3_1(X61)
        | ~ c0_1(X61)
        | c1_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2000,plain,
    ( c3_1(a661)
    | c1_1(a661)
    | ~ spl0_63
    | ~ spl0_78 ),
    inference(resolution,[],[f540,f468]) ).

fof(f468,plain,
    ( c0_1(a661)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f540,plain,
    ( ! [X61] :
        ( ~ c0_1(X61)
        | c3_1(X61)
        | c1_1(X61) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f2008,plain,
    ( spl0_43
    | spl0_137
    | ~ spl0_78
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2001,f1436,f539,f848,f372]) ).

fof(f372,plain,
    ( spl0_43
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2001,plain,
    ( c1_1(a675)
    | c3_1(a675)
    | ~ spl0_78
    | ~ spl0_172 ),
    inference(resolution,[],[f540,f1438]) ).

fof(f1962,plain,
    ( spl0_115
    | spl0_152
    | ~ spl0_54
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1957,f931,f425,f945,f728]) ).

fof(f728,plain,
    ( spl0_115
  <=> c2_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f945,plain,
    ( spl0_152
  <=> c3_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f425,plain,
    ( spl0_54
  <=> ! [X83] :
        ( ~ c1_1(X83)
        | c2_1(X83)
        | c3_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f931,plain,
    ( spl0_150
  <=> c1_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1957,plain,
    ( c3_1(a698)
    | c2_1(a698)
    | ~ spl0_54
    | ~ spl0_150 ),
    inference(resolution,[],[f426,f933]) ).

fof(f933,plain,
    ( c1_1(a698)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f426,plain,
    ( ! [X83] :
        ( ~ c1_1(X83)
        | c3_1(X83)
        | c2_1(X83) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1869,plain,
    ( spl0_167
    | spl0_96
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1818,f531,f266,f629,f1232]) ).

fof(f1232,plain,
    ( spl0_167
  <=> c1_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f629,plain,
    ( spl0_96
  <=> c0_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f266,plain,
    ( spl0_20
  <=> ! [X85] :
        ( c0_1(X85)
        | c1_1(X85)
        | ~ c3_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f531,plain,
    ( spl0_76
  <=> c3_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1818,plain,
    ( c0_1(a693)
    | c1_1(a693)
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(resolution,[],[f533,f267]) ).

fof(f267,plain,
    ( ! [X85] :
        ( ~ c3_1(X85)
        | c0_1(X85)
        | c1_1(X85) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f533,plain,
    ( c3_1(a693)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f1867,plain,
    ( spl0_96
    | ~ spl0_8
    | ~ spl0_30
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1859,f1232,f311,f216,f629]) ).

fof(f216,plain,
    ( spl0_8
  <=> c2_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f311,plain,
    ( spl0_30
  <=> ! [X80] :
        ( ~ c2_1(X80)
        | c0_1(X80)
        | ~ c1_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1859,plain,
    ( ~ c2_1(a693)
    | c0_1(a693)
    | ~ spl0_30
    | ~ spl0_167 ),
    inference(resolution,[],[f312,f1234]) ).

fof(f1234,plain,
    ( c1_1(a693)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f312,plain,
    ( ! [X80] :
        ( ~ c1_1(X80)
        | ~ c2_1(X80)
        | c0_1(X80) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f1829,plain,
    ( ~ spl0_149
    | spl0_101
    | ~ spl0_18
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1827,f1653,f258,f656,f926]) ).

fof(f926,plain,
    ( spl0_149
  <=> c2_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f656,plain,
    ( spl0_101
  <=> c1_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f258,plain,
    ( spl0_18
  <=> ! [X52] :
        ( ~ c3_1(X52)
        | ~ c2_1(X52)
        | c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1653,plain,
    ( spl0_179
  <=> c3_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1827,plain,
    ( c1_1(a665)
    | ~ c2_1(a665)
    | ~ spl0_18
    | ~ spl0_179 ),
    inference(resolution,[],[f1655,f259]) ).

fof(f259,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | ~ c2_1(X52)
        | c1_1(X52) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f1655,plain,
    ( c3_1(a665)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1653]) ).

fof(f1828,plain,
    ( spl0_101
    | spl0_146
    | ~ spl0_20
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1826,f1653,f266,f910,f656]) ).

fof(f910,plain,
    ( spl0_146
  <=> c0_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1826,plain,
    ( c0_1(a665)
    | c1_1(a665)
    | ~ spl0_20
    | ~ spl0_179 ),
    inference(resolution,[],[f1655,f267]) ).

fof(f1817,plain,
    ( ~ spl0_168
    | spl0_79
    | ~ spl0_3
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1682,f618,f195,f543,f1246]) ).

fof(f1246,plain,
    ( spl0_168
  <=> c3_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f543,plain,
    ( spl0_79
  <=> c2_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f195,plain,
    ( spl0_3
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | ~ c1_1(X23)
        | c2_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f618,plain,
    ( spl0_94
  <=> c1_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1682,plain,
    ( c2_1(a676)
    | ~ c3_1(a676)
    | ~ spl0_3
    | ~ spl0_94 ),
    inference(resolution,[],[f196,f620]) ).

fof(f620,plain,
    ( c1_1(a676)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f196,plain,
    ( ! [X23] :
        ( ~ c1_1(X23)
        | c2_1(X23)
        | ~ c3_1(X23) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f1813,plain,
    ( ~ spl0_93
    | spl0_161
    | ~ spl0_30
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1804,f787,f311,f1063,f612]) ).

fof(f612,plain,
    ( spl0_93
  <=> c2_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1063,plain,
    ( spl0_161
  <=> c0_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f787,plain,
    ( spl0_126
  <=> c1_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1804,plain,
    ( c0_1(a686)
    | ~ c2_1(a686)
    | ~ spl0_30
    | ~ spl0_126 ),
    inference(resolution,[],[f312,f789]) ).

fof(f789,plain,
    ( c1_1(a686)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f1783,plain,
    ( spl0_86
    | ~ spl0_14
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1781,f568,f242,f580]) ).

fof(f580,plain,
    ( spl0_86
  <=> ! [X88] :
        ( c3_1(X88)
        | c2_1(X88)
        | c1_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f242,plain,
    ( spl0_14
  <=> ! [X71] :
        ( c0_1(X71)
        | c1_1(X71)
        | c3_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f568,plain,
    ( spl0_83
  <=> ! [X73] :
        ( c3_1(X73)
        | ~ c0_1(X73)
        | c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1781,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_14
    | ~ spl0_83 ),
    inference(duplicate_literal_removal,[],[f1769]) ).

fof(f1769,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_14
    | ~ spl0_83 ),
    inference(resolution,[],[f243,f569]) ).

fof(f569,plain,
    ( ! [X73] :
        ( ~ c0_1(X73)
        | c3_1(X73)
        | c2_1(X73) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f243,plain,
    ( ! [X71] :
        ( c0_1(X71)
        | c1_1(X71)
        | c3_1(X71) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f1740,plain,
    ( spl0_170
    | spl0_42
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1723,f680,f314,f367,f1306]) ).

fof(f314,plain,
    ( spl0_31
  <=> ! [X78] :
        ( ~ c0_1(X78)
        | c1_1(X78)
        | c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1723,plain,
    ( c1_1(a642)
    | c2_1(a642)
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(resolution,[],[f315,f682]) ).

fof(f315,plain,
    ( ! [X78] :
        ( ~ c0_1(X78)
        | c2_1(X78)
        | c1_1(X78) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f1691,plain,
    ( spl0_110
    | ~ spl0_117
    | ~ spl0_3
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1681,f1267,f195,f740,f701]) ).

fof(f701,plain,
    ( spl0_110
  <=> c2_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f740,plain,
    ( spl0_117
  <=> c3_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1267,plain,
    ( spl0_169
  <=> c1_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1681,plain,
    ( ~ c3_1(a667)
    | c2_1(a667)
    | ~ spl0_3
    | ~ spl0_169 ),
    inference(resolution,[],[f196,f1269]) ).

fof(f1269,plain,
    ( c1_1(a667)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f1673,plain,
    ( spl0_82
    | spl0_49
    | ~ spl0_83
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1672,f814,f568,f400,f562]) ).

fof(f562,plain,
    ( spl0_82
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f400,plain,
    ( spl0_49
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f814,plain,
    ( spl0_131
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1672,plain,
    ( c2_1(a648)
    | c3_1(a648)
    | ~ spl0_83
    | ~ spl0_131 ),
    inference(resolution,[],[f816,f569]) ).

fof(f816,plain,
    ( c0_1(a648)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f1670,plain,
    ( spl0_168
    | spl0_79
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1669,f651,f568,f543,f1246]) ).

fof(f651,plain,
    ( spl0_100
  <=> c0_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1669,plain,
    ( c2_1(a676)
    | c3_1(a676)
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(resolution,[],[f653,f569]) ).

fof(f653,plain,
    ( c0_1(a676)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f1661,plain,
    ( ~ spl0_170
    | spl0_42
    | ~ spl0_18
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1368,f877,f258,f367,f1306]) ).

fof(f877,plain,
    ( spl0_141
  <=> c3_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1368,plain,
    ( c1_1(a642)
    | ~ c2_1(a642)
    | ~ spl0_18
    | ~ spl0_141 ),
    inference(resolution,[],[f879,f259]) ).

fof(f879,plain,
    ( c3_1(a642)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f1659,plain,
    ( spl0_43
    | spl0_137
    | ~ spl0_24
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1640,f773,f283,f848,f372]) ).

fof(f773,plain,
    ( spl0_123
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1640,plain,
    ( c1_1(a675)
    | c3_1(a675)
    | ~ spl0_24
    | ~ spl0_123 ),
    inference(resolution,[],[f774,f285]) ).

fof(f285,plain,
    ( c2_1(a675)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f774,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f1658,plain,
    ( spl0_162
    | spl0_120
    | ~ spl0_53
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1643,f773,f420,f757,f1086]) ).

fof(f1086,plain,
    ( spl0_162
  <=> c1_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f757,plain,
    ( spl0_120
  <=> c3_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f420,plain,
    ( spl0_53
  <=> c2_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1643,plain,
    ( c3_1(a695)
    | c1_1(a695)
    | ~ spl0_53
    | ~ spl0_123 ),
    inference(resolution,[],[f774,f422]) ).

fof(f422,plain,
    ( c2_1(a695)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f1656,plain,
    ( spl0_101
    | spl0_179
    | ~ spl0_123
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1638,f926,f773,f1653,f656]) ).

fof(f1638,plain,
    ( c3_1(a665)
    | c1_1(a665)
    | ~ spl0_123
    | ~ spl0_149 ),
    inference(resolution,[],[f774,f928]) ).

fof(f928,plain,
    ( c2_1(a665)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f1594,plain,
    ( spl0_172
    | spl0_137
    | ~ spl0_24
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1576,f671,f283,f848,f1436]) ).

fof(f671,plain,
    ( spl0_104
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c1_1(X6)
        | c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1576,plain,
    ( c1_1(a675)
    | c0_1(a675)
    | ~ spl0_24
    | ~ spl0_104 ),
    inference(resolution,[],[f672,f285]) ).

fof(f672,plain,
    ( ! [X6] :
        ( ~ c2_1(X6)
        | c0_1(X6)
        | c1_1(X6) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f1588,plain,
    ( spl0_146
    | spl0_101
    | ~ spl0_104
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1574,f926,f671,f656,f910]) ).

fof(f1574,plain,
    ( c1_1(a665)
    | c0_1(a665)
    | ~ spl0_104
    | ~ spl0_149 ),
    inference(resolution,[],[f672,f928]) ).

fof(f1584,plain,
    ( spl0_162
    | spl0_5
    | ~ spl0_53
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1579,f671,f420,f203,f1086]) ).

fof(f203,plain,
    ( spl0_5
  <=> c0_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1579,plain,
    ( c0_1(a695)
    | c1_1(a695)
    | ~ spl0_53
    | ~ spl0_104 ),
    inference(resolution,[],[f672,f422]) ).

fof(f1460,plain,
    ( spl0_154
    | spl0_65
    | spl0_62
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1448,f580,f461,f476,f966]) ).

fof(f966,plain,
    ( spl0_154
  <=> c3_1(a654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f476,plain,
    ( spl0_65
  <=> c2_1(a654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f461,plain,
    ( spl0_62
  <=> c1_1(a654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1448,plain,
    ( c2_1(a654)
    | c3_1(a654)
    | spl0_62
    | ~ spl0_86 ),
    inference(resolution,[],[f581,f463]) ).

fof(f463,plain,
    ( ~ c1_1(a654)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f581,plain,
    ( ! [X88] :
        ( c1_1(X88)
        | c2_1(X88)
        | c3_1(X88) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f1408,plain,
    ( ~ spl0_94
    | spl0_79
    | ~ spl0_57
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1406,f651,f436,f543,f618]) ).

fof(f436,plain,
    ( spl0_57
  <=> ! [X38] :
        ( c2_1(X38)
        | ~ c1_1(X38)
        | ~ c0_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1406,plain,
    ( c2_1(a676)
    | ~ c1_1(a676)
    | ~ spl0_57
    | ~ spl0_100 ),
    inference(resolution,[],[f437,f653]) ).

fof(f437,plain,
    ( ! [X38] :
        ( ~ c0_1(X38)
        | c2_1(X38)
        | ~ c1_1(X38) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f1390,plain,
    ( spl0_111
    | ~ spl0_98
    | ~ spl0_12
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1377,f951,f235,f639,f706]) ).

fof(f706,plain,
    ( spl0_111
  <=> c0_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f639,plain,
    ( spl0_98
  <=> c2_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f235,plain,
    ( spl0_12
  <=> ! [X70] :
        ( c0_1(X70)
        | ~ c2_1(X70)
        | ~ c3_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f951,plain,
    ( spl0_153
  <=> c3_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1377,plain,
    ( ~ c2_1(a643)
    | c0_1(a643)
    | ~ spl0_12
    | ~ spl0_153 ),
    inference(resolution,[],[f236,f953]) ).

fof(f953,plain,
    ( c3_1(a643)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f236,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | ~ c2_1(X70)
        | c0_1(X70) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f1309,plain,
    ( spl0_170
    | ~ spl0_141
    | ~ spl0_67
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1303,f680,f487,f877,f1306]) ).

fof(f487,plain,
    ( spl0_67
  <=> ! [X76] :
        ( c2_1(X76)
        | ~ c0_1(X76)
        | ~ c3_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1303,plain,
    ( ~ c3_1(a642)
    | c2_1(a642)
    | ~ spl0_67
    | ~ spl0_106 ),
    inference(resolution,[],[f682,f488]) ).

fof(f488,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76)
        | c2_1(X76) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f1288,plain,
    ( ~ spl0_37
    | ~ spl0_134
    | ~ spl0_21
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1286,f696,f269,f832,f341]) ).

fof(f341,plain,
    ( spl0_37
  <=> c3_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f832,plain,
    ( spl0_134
  <=> c2_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f269,plain,
    ( spl0_21
  <=> ! [X86] :
        ( ~ c2_1(X86)
        | ~ c3_1(X86)
        | ~ c1_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f696,plain,
    ( spl0_109
  <=> c1_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1286,plain,
    ( ~ c2_1(a688)
    | ~ c3_1(a688)
    | ~ spl0_21
    | ~ spl0_109 ),
    inference(resolution,[],[f270,f698]) ).

fof(f698,plain,
    ( c1_1(a688)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f270,plain,
    ( ! [X86] :
        ( ~ c1_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f1270,plain,
    ( spl0_169
    | spl0_124
    | ~ spl0_20
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1262,f740,f266,f777,f1267]) ).

fof(f777,plain,
    ( spl0_124
  <=> c0_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1262,plain,
    ( c0_1(a667)
    | c1_1(a667)
    | ~ spl0_20
    | ~ spl0_117 ),
    inference(resolution,[],[f267,f742]) ).

fof(f742,plain,
    ( c3_1(a667)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f1249,plain,
    ( ~ spl0_168
    | spl0_79
    | ~ spl0_67
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1243,f651,f487,f543,f1246]) ).

fof(f1243,plain,
    ( c2_1(a676)
    | ~ c3_1(a676)
    | ~ spl0_67
    | ~ spl0_100 ),
    inference(resolution,[],[f653,f488]) ).

fof(f1226,plain,
    ( spl0_128
    | ~ spl0_102
    | ~ spl0_67
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1218,f763,f487,f661,f798]) ).

fof(f798,plain,
    ( spl0_128
  <=> c2_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f661,plain,
    ( spl0_102
  <=> c3_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f763,plain,
    ( spl0_121
  <=> c0_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1218,plain,
    ( ~ c3_1(a652)
    | c2_1(a652)
    | ~ spl0_67
    | ~ spl0_121 ),
    inference(resolution,[],[f488,f765]) ).

fof(f765,plain,
    ( c0_1(a652)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f1163,plain,
    ( spl0_158
    | spl0_58
    | ~ spl0_54
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1148,f556,f425,f440,f1016]) ).

fof(f1016,plain,
    ( spl0_158
  <=> c2_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f440,plain,
    ( spl0_58
  <=> c3_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f556,plain,
    ( spl0_81
  <=> c1_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1148,plain,
    ( c3_1(a647)
    | c2_1(a647)
    | ~ spl0_54
    | ~ spl0_81 ),
    inference(resolution,[],[f426,f558]) ).

fof(f558,plain,
    ( c1_1(a647)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f1094,plain,
    ( spl0_129
    | spl0_152
    | ~ spl0_2
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1060,f931,f192,f945,f803]) ).

fof(f803,plain,
    ( spl0_129
  <=> c0_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f192,plain,
    ( spl0_2
  <=> ! [X24] :
        ( ~ c1_1(X24)
        | c3_1(X24)
        | c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1060,plain,
    ( c3_1(a698)
    | c0_1(a698)
    | ~ spl0_2
    | ~ spl0_150 ),
    inference(resolution,[],[f193,f933]) ).

fof(f193,plain,
    ( ! [X24] :
        ( ~ c1_1(X24)
        | c0_1(X24)
        | c3_1(X24) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f1093,plain,
    ( spl0_5
    | spl0_120
    | ~ spl0_2
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1092,f1086,f192,f757,f203]) ).

fof(f1092,plain,
    ( c3_1(a695)
    | c0_1(a695)
    | ~ spl0_2
    | ~ spl0_162 ),
    inference(resolution,[],[f1088,f193]) ).

fof(f1088,plain,
    ( c1_1(a695)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1086]) ).

fof(f1089,plain,
    ( spl0_162
    | spl0_120
    | spl0_5
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1083,f242,f203,f757,f1086]) ).

fof(f1083,plain,
    ( c3_1(a695)
    | c1_1(a695)
    | spl0_5
    | ~ spl0_14 ),
    inference(resolution,[],[f243,f205]) ).

fof(f205,plain,
    ( ~ c0_1(a695)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f1075,plain,
    ( ~ spl0_126
    | ~ spl0_93
    | ~ spl0_16
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1073,f1063,f250,f612,f787]) ).

fof(f250,plain,
    ( spl0_16
  <=> ! [X45] :
        ( ~ c1_1(X45)
        | ~ c0_1(X45)
        | ~ c2_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1073,plain,
    ( ~ c2_1(a686)
    | ~ c1_1(a686)
    | ~ spl0_16
    | ~ spl0_161 ),
    inference(resolution,[],[f1065,f251]) ).

fof(f251,plain,
    ( ! [X45] :
        ( ~ c0_1(X45)
        | ~ c1_1(X45)
        | ~ c2_1(X45) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f1065,plain,
    ( c0_1(a686)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1074,plain,
    ( spl0_116
    | ~ spl0_93
    | ~ spl0_46
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1072,f1063,f385,f612,f733]) ).

fof(f733,plain,
    ( spl0_116
  <=> c3_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f385,plain,
    ( spl0_46
  <=> ! [X15] :
        ( c3_1(X15)
        | ~ c2_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1072,plain,
    ( ~ c2_1(a686)
    | c3_1(a686)
    | ~ spl0_46
    | ~ spl0_161 ),
    inference(resolution,[],[f1065,f386]) ).

fof(f386,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15)
        | ~ c2_1(X15) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1067,plain,
    ( spl0_71
    | spl0_103
    | ~ spl0_2
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1061,f971,f192,f666,f506]) ).

fof(f506,plain,
    ( spl0_71
  <=> c3_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f666,plain,
    ( spl0_103
  <=> c0_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f971,plain,
    ( spl0_155
  <=> c1_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1061,plain,
    ( c0_1(a710)
    | c3_1(a710)
    | ~ spl0_2
    | ~ spl0_155 ),
    inference(resolution,[],[f193,f973]) ).

fof(f973,plain,
    ( c1_1(a710)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f1066,plain,
    ( spl0_161
    | spl0_116
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1059,f787,f192,f733,f1063]) ).

fof(f1059,plain,
    ( c3_1(a686)
    | c0_1(a686)
    | ~ spl0_2
    | ~ spl0_126 ),
    inference(resolution,[],[f193,f789]) ).

fof(f1034,plain,
    ( spl0_151
    | ~ spl0_73
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1033,f752,f258,f515,f936]) ).

fof(f936,plain,
    ( spl0_151
  <=> c1_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f515,plain,
    ( spl0_73
  <=> c2_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f752,plain,
    ( spl0_119
  <=> c3_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1033,plain,
    ( ~ c2_1(a641)
    | c1_1(a641)
    | ~ spl0_18
    | ~ spl0_119 ),
    inference(resolution,[],[f754,f259]) ).

fof(f754,plain,
    ( c3_1(a641)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f1024,plain,
    ( ~ spl0_130
    | spl0_112
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1023,f318,f195,f711,f809]) ).

fof(f809,plain,
    ( spl0_130
  <=> c3_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f711,plain,
    ( spl0_112
  <=> c2_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f318,plain,
    ( spl0_32
  <=> c1_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1023,plain,
    ( c2_1(a645)
    | ~ c3_1(a645)
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(resolution,[],[f320,f196]) ).

fof(f320,plain,
    ( c1_1(a645)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f1022,plain,
    ( spl0_80
    | spl0_61
    | ~ spl0_31
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1021,f491,f314,f455,f549]) ).

fof(f549,plain,
    ( spl0_80
  <=> c1_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f455,plain,
    ( spl0_61
  <=> c2_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f491,plain,
    ( spl0_68
  <=> c0_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1021,plain,
    ( c2_1(a660)
    | c1_1(a660)
    | ~ spl0_31
    | ~ spl0_68 ),
    inference(resolution,[],[f315,f493]) ).

fof(f493,plain,
    ( c0_1(a660)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f1020,plain,
    ( spl0_111
    | ~ spl0_98
    | ~ spl0_30
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1011,f915,f311,f639,f706]) ).

fof(f915,plain,
    ( spl0_147
  <=> c1_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1011,plain,
    ( ~ c2_1(a643)
    | c0_1(a643)
    | ~ spl0_30
    | ~ spl0_147 ),
    inference(resolution,[],[f312,f917]) ).

fof(f917,plain,
    ( c1_1(a643)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f1019,plain,
    ( spl0_50
    | ~ spl0_158
    | ~ spl0_30
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1012,f556,f311,f1016,f406]) ).

fof(f406,plain,
    ( spl0_50
  <=> c0_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1012,plain,
    ( ~ c2_1(a647)
    | c0_1(a647)
    | ~ spl0_30
    | ~ spl0_81 ),
    inference(resolution,[],[f312,f558]) ).

fof(f1006,plain,
    ( spl0_123
    | ~ spl0_14
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1004,f385,f242,f773]) ).

fof(f1004,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1003]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_14
    | ~ spl0_46 ),
    inference(resolution,[],[f386,f243]) ).

fof(f1005,plain,
    ( spl0_107
    | ~ spl0_157
    | ~ spl0_46
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1002,f466,f385,f998,f685]) ).

fof(f998,plain,
    ( spl0_157
  <=> c2_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1002,plain,
    ( ~ c2_1(a661)
    | c3_1(a661)
    | ~ spl0_46
    | ~ spl0_63 ),
    inference(resolution,[],[f386,f468]) ).

fof(f1001,plain,
    ( spl0_157
    | spl0_90
    | ~ spl0_31
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f994,f466,f314,f596,f998]) ).

fof(f994,plain,
    ( c1_1(a661)
    | c2_1(a661)
    | ~ spl0_31
    | ~ spl0_63 ),
    inference(resolution,[],[f315,f468]) ).

fof(f993,plain,
    ( ~ spl0_153
    | ~ spl0_98
    | ~ spl0_21
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f989,f915,f269,f639,f951]) ).

fof(f989,plain,
    ( ~ c2_1(a643)
    | ~ c3_1(a643)
    | ~ spl0_21
    | ~ spl0_147 ),
    inference(resolution,[],[f270,f917]) ).

fof(f986,plain,
    ( spl0_89
    | spl0_139
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f983,f445,f266,f863,f590]) ).

fof(f590,plain,
    ( spl0_89
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f863,plain,
    ( spl0_139
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f445,plain,
    ( spl0_59
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f983,plain,
    ( c1_1(a651)
    | c0_1(a651)
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(resolution,[],[f267,f447]) ).

fof(f447,plain,
    ( c3_1(a651)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f985,plain,
    ( spl0_62
    | spl0_95
    | ~ spl0_20
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f984,f966,f266,f624,f461]) ).

fof(f624,plain,
    ( spl0_95
  <=> c0_1(a654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f984,plain,
    ( c0_1(a654)
    | c1_1(a654)
    | ~ spl0_20
    | ~ spl0_154 ),
    inference(resolution,[],[f267,f968]) ).

fof(f968,plain,
    ( c3_1(a654)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f974,plain,
    ( spl0_71
    | spl0_155
    | ~ spl0_14
    | spl0_103 ),
    inference(avatar_split_clause,[],[f964,f666,f242,f971,f506]) ).

fof(f964,plain,
    ( c1_1(a710)
    | c3_1(a710)
    | ~ spl0_14
    | spl0_103 ),
    inference(resolution,[],[f243,f668]) ).

fof(f668,plain,
    ( ~ c0_1(a710)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f958,plain,
    ( spl0_115
    | ~ spl0_152
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f957,f931,f195,f945,f728]) ).

fof(f957,plain,
    ( ~ c3_1(a698)
    | c2_1(a698)
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(resolution,[],[f196,f933]) ).

fof(f954,plain,
    ( spl0_153
    | spl0_111
    | ~ spl0_2
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f942,f915,f192,f706,f951]) ).

fof(f942,plain,
    ( c0_1(a643)
    | c3_1(a643)
    | ~ spl0_2
    | ~ spl0_147 ),
    inference(resolution,[],[f193,f917]) ).

fof(f949,plain,
    ( spl0_58
    | spl0_50
    | ~ spl0_2
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f941,f556,f192,f406,f440]) ).

fof(f941,plain,
    ( c0_1(a647)
    | c3_1(a647)
    | ~ spl0_2
    | ~ spl0_81 ),
    inference(resolution,[],[f193,f558]) ).

fof(f939,plain,
    ( ~ spl0_72
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f138,f936,f511]) ).

fof(f511,plain,
    ( spl0_72
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f138,plain,
    ( ~ c1_1(a641)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp6
      | ! [X24] :
          ( ~ c1_1(X24)
          | c0_1(X24)
          | ~ ndr1_0
          | c3_1(X24) )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23) ) )
    & ( ~ hskp25
      | ( ~ c3_1(a710)
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ndr1_0 ) )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0
          | c3_1(X27) )
      | hskp9
      | ! [X26] :
          ( c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0
          | ~ c3_1(X26) ) )
    & ( hskp5
      | ! [X4] :
          ( ~ ndr1_0
          | c1_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4) )
      | ! [X5] :
          ( ~ c2_1(X5)
          | c1_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X0] :
          ( c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0
          | ~ c3_1(X0) )
      | hskp18 )
    & ( hskp11
      | ! [X43] :
          ( c0_1(X43)
          | ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43) )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0
          | ~ c3_1(X42) ) )
    & ( ( ~ c0_1(a695)
        & ~ c3_1(a695)
        & ndr1_0
        & c2_1(a695) )
      | ~ hskp23 )
    & ( ( c3_1(a651)
        & ~ c1_1(a651)
        & ndr1_0
        & ~ c0_1(a651) )
      | ~ hskp7 )
    & ( hskp14
      | hskp17
      | hskp1 )
    & ( ( ~ c0_1(a654)
        & ~ c2_1(a654)
        & ndr1_0
        & ~ c1_1(a654) )
      | ~ hskp9 )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | ~ c1_1(X45) )
      | hskp23
      | hskp25 )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ ndr1_0
          | ~ c0_1(X60)
          | c1_1(X60) )
      | ! [X61] :
          ( c1_1(X61)
          | c3_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ ndr1_0
          | c3_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62) ) )
    & ( ! [X76] :
          ( c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0
          | ~ c0_1(X76) )
      | hskp7
      | ! [X75] :
          ( c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0
          | c0_1(X75) ) )
    & ( ~ hskp15
      | ( ~ c0_1(a667)
        & ~ c2_1(a667)
        & ndr1_0
        & c3_1(a667) ) )
    & ( hskp10
      | hskp29
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a657)
        & ~ c3_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ~ hskp29
      | ( c2_1(a688)
        & c3_1(a688)
        & ndr1_0
        & c1_1(a688) ) )
    & ( ! [X48] :
          ( ~ c1_1(X48)
          | ~ ndr1_0
          | c3_1(X48)
          | c2_1(X48) )
      | hskp2
      | ! [X47] :
          ( c0_1(X47)
          | c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp17
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ ndr1_0
          | c1_1(X66)
          | ~ c2_1(X66) ) )
    & ( ~ hskp20
      | ( c1_1(a686)
        & c2_1(a686)
        & ndr1_0
        & ~ c3_1(a686) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c2_1(X13)
          | c0_1(X13) )
      | hskp7
      | ! [X14] :
          ( ~ ndr1_0
          | c1_1(X14)
          | c3_1(X14)
          | ~ c0_1(X14) ) )
    & ( hskp27
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c1_1(X52) )
      | ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0
          | ~ c1_1(X53) ) )
    & ( ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0
          | c1_1(X67) )
      | ! [X68] :
          ( ~ ndr1_0
          | c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) )
      | hskp12 )
    & ( hskp3
      | ! [X85] :
          ( c1_1(X85)
          | ~ ndr1_0
          | ~ c3_1(X85)
          | c0_1(X85) )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0
          | ~ c2_1(X86) ) )
    & ( hskp29
      | hskp5
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 ) )
    & ( ~ hskp16
      | ( ~ c2_1(a672)
        & ndr1_0
        & ~ c3_1(a672)
        & c1_1(a672) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( hskp17
      | hskp7
      | ! [X25] :
          ( ~ c3_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a652)
        & c0_1(a652)
        & ~ c2_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ! [X30] :
          ( ~ c0_1(X30)
          | ~ ndr1_0
          | c2_1(X30)
          | ~ c1_1(X30) )
      | ! [X32] :
          ( ~ ndr1_0
          | c1_1(X32)
          | c3_1(X32)
          | ~ c0_1(X32) )
      | ! [X31] :
          ( c0_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0
          | ~ c3_1(X31) ) )
    & ( ! [X87] :
          ( c3_1(X87)
          | c0_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89) )
      | ! [X88] :
          ( c2_1(X88)
          | ~ ndr1_0
          | c1_1(X88)
          | c3_1(X88) ) )
    & ( ( c2_1(a655)
        & c3_1(a655)
        & ndr1_0
        & c0_1(a655) )
      | ~ hskp27 )
    & ( ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69) )
      | hskp5
      | hskp23 )
    & ( hskp29
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X21] :
          ( ~ c1_1(X21)
          | ~ c2_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0
          | ~ c2_1(X22) )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ ndr1_0
          | ~ c1_1(X20)
          | ~ c2_1(X20) ) )
    & ( hskp24
      | hskp2
      | ! [X56] :
          ( ~ c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp6
      | ! [X46] :
          ( ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0
          | c3_1(X46) ) )
    & ( hskp20
      | ! [X35] :
          ( ~ ndr1_0
          | c2_1(X35)
          | ~ c0_1(X35)
          | ~ c3_1(X35) )
      | hskp22 )
    & ( hskp28
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | hskp16 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( hskp12
      | hskp20
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X34] :
          ( ~ ndr1_0
          | c1_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34) )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0
          | c0_1(X33) ) )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c3_1(X70) )
      | ! [X71] :
          ( c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0
          | c1_1(X71) )
      | hskp1 )
    & ( hskp10
      | ! [X38] :
          ( c2_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0
          | c2_1(X37) ) )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( ! [X79] :
          ( c3_1(X79)
          | c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ ndr1_0
          | c0_1(X80)
          | ~ c2_1(X80)
          | ~ c1_1(X80) )
      | ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 )
      | hskp9
      | ! [X12] :
          ( c3_1(X12)
          | c1_1(X12)
          | ~ ndr1_0
          | ~ c2_1(X12) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648) ) )
    & ( ! [X55] :
          ( ~ c1_1(X55)
          | c2_1(X55)
          | ~ ndr1_0
          | ~ c3_1(X55) )
      | hskp15
      | hskp3 )
    & ( ! [X6] :
          ( c1_1(X6)
          | ~ ndr1_0
          | c0_1(X6)
          | ~ c2_1(X6) )
      | ! [X7] :
          ( c0_1(X7)
          | ~ ndr1_0
          | c1_1(X7)
          | c3_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ c0_1(X8) ) )
    & ( ~ hskp18
      | ( ~ c2_1(a676)
        & c1_1(a676)
        & ndr1_0
        & c0_1(a676) ) )
    & ( ~ hskp1
      | ( ~ c1_1(a642)
        & c0_1(a642)
        & ndr1_0
        & c3_1(a642) ) )
    & ( ( ~ c0_1(a693)
        & ndr1_0
        & c3_1(a693)
        & c2_1(a693) )
      | ~ hskp22 )
    & ( hskp6
      | ! [X81] :
          ( c0_1(X81)
          | ~ ndr1_0
          | c1_1(X81)
          | ~ c2_1(X81) )
      | hskp2 )
    & ( ! [X28] :
          ( c3_1(X28)
          | c0_1(X28)
          | ~ ndr1_0
          | ~ c1_1(X28) )
      | hskp13
      | hskp12 )
    & ( ~ hskp21
      | ( ~ c0_1(a691)
        & ndr1_0
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ! [X57] :
          ( ~ c3_1(X57)
          | ~ ndr1_0
          | ~ c2_1(X57)
          | c0_1(X57) )
      | hskp14
      | hskp4 )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ ndr1_0
          | c1_1(X17)
          | ~ c3_1(X17) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c0_1(X19)
          | ~ c1_1(X19) )
      | ! [X18] :
          ( ~ c2_1(X18)
          | ~ ndr1_0
          | ~ c1_1(X18)
          | ~ c0_1(X18) ) )
    & ( ! [X2] :
          ( ~ c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0
          | ~ c1_1(X2) )
      | ! [X3] :
          ( c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0
          | ~ c3_1(X3) )
      | ! [X1] :
          ( c3_1(X1)
          | c1_1(X1)
          | ~ ndr1_0
          | ~ c2_1(X1) ) )
    & ( hskp8
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10) )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0
          | ~ c3_1(X9) ) )
    & ( ~ hskp24
      | ( c1_1(a698)
        & ~ c0_1(a698)
        & ndr1_0
        & ~ c2_1(a698) ) )
    & ( ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0
          | ~ c2_1(X59) )
      | hskp7
      | ! [X58] :
          ( ~ ndr1_0
          | c3_1(X58)
          | c1_1(X58)
          | ~ c0_1(X58) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ! [X29] :
          ( ~ c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0
          | ~ c0_1(X29) )
      | hskp17
      | hskp28 )
    & ( ( ndr1_0
        & c3_1(a641)
        & ~ c1_1(a641)
        & c2_1(a641) )
      | ~ hskp0 )
    & ( ! [X39] :
          ( ~ c0_1(X39)
          | ~ c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ ndr1_0
          | c2_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40) ) )
    & ( hskp9
      | hskp15
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ ndr1_0
          | c0_1(X51)
          | ~ c2_1(X51) ) )
    & ( ~ hskp26
      | ( c3_1(a640)
        & c0_1(a640)
        & ndr1_0
        & c1_1(a640) ) )
    & ( ~ hskp19
      | ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 ) )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & ndr1_0
        & c0_1(a671) )
      | ~ hskp28 )
    & ( hskp20
      | hskp18
      | hskp2 )
    & ( ~ hskp3
      | ( ~ c2_1(a645)
        & ndr1_0
        & c1_1(a645)
        & c3_1(a645) ) )
    & ( ~ hskp12
      | ( c0_1(a660)
        & ~ c2_1(a660)
        & ~ c1_1(a660)
        & ndr1_0 ) )
    & ( hskp8
      | ! [X64] :
          ( ~ ndr1_0
          | c0_1(X64)
          | ~ c3_1(X64)
          | c1_1(X64) )
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0
          | ~ c1_1(X63) ) )
    & ( hskp19
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ~ hskp2
      | ( c1_1(a643)
        & ~ c0_1(a643)
        & c2_1(a643)
        & ndr1_0 ) )
    & ( ! [X36] :
          ( c2_1(X36)
          | c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ c1_1(X72) )
      | hskp11
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X65] :
          ( c0_1(X65)
          | c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ( ~ c0_1(a665)
        & ~ c1_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp0
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0
          | c0_1(X82) )
      | hskp2 )
    & ( ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) )
      | ~ hskp4 )
    & ( ! [X15] :
          ( ~ c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0
          | ~ c0_1(X15) )
      | hskp9
      | hskp15 )
    & ( hskp20
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ ndr1_0
          | c2_1(X54)
          | c3_1(X54) )
      | hskp5 )
    & ( ~ hskp5
      | ( ~ c0_1(a647)
        & ndr1_0
        & c1_1(a647)
        & ~ c3_1(a647) ) )
    & ( hskp24
      | hskp14
      | hskp17 )
    & ( hskp21
      | hskp11
      | ! [X77] :
          ( ~ c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0
          | ~ c3_1(X77) ) )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & ndr1_0
        & c2_1(a675) )
      | ~ hskp17 )
    & ( hskp2
      | hskp22
      | hskp19 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp16
      | ! [X84] :
          ( c1_1(X84)
          | ~ c3_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ~ hskp3
      | ( ~ c2_1(a645)
        & ndr1_0
        & c1_1(a645)
        & c3_1(a645) ) )
    & ( ! [X58] :
          ( c3_1(X58)
          | c1_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp7
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | c1_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X10] :
          ( c2_1(X10)
          | ~ c3_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp8
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) )
      | ~ hskp4 )
    & ( ( c2_1(a657)
        & ~ c3_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c3_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X0] :
          ( ~ c0_1(X0)
          | ~ c3_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp4
      | hskp18 )
    & ( ! [X14] :
          ( c1_1(X14)
          | c3_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | hskp7
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | c0_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( ~ c1_1(X31)
          | c0_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | ~ c0_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c1_1(X43)
          | c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c1_1(X42)
          | c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c2_1(X70)
          | ~ c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c0_1(X71)
          | c3_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp9
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( c2_1(a688)
        & c3_1(a688)
        & ndr1_0
        & c1_1(a688) ) )
    & ( hskp23
      | ! [X69] :
          ( c2_1(X69)
          | ~ c3_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X78] :
          ( ~ c0_1(X78)
          | c1_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a651)
        & ~ c1_1(a651)
        & ndr1_0
        & ~ c0_1(a651) )
      | ~ hskp7 )
    & ( ! [X48] :
          ( c3_1(X48)
          | ~ c1_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | hskp2
      | ! [X47] :
          ( c0_1(X47)
          | c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 ) )
    & ( ~ hskp16
      | ( ~ c2_1(a672)
        & ndr1_0
        & ~ c3_1(a672)
        & c1_1(a672) ) )
    & ( hskp0
      | ! [X36] :
          ( c1_1(X36)
          | c0_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ~ hskp15
      | ( ~ c0_1(a667)
        & ~ c2_1(a667)
        & ndr1_0
        & c3_1(a667) ) )
    & ( hskp15
      | hskp9
      | ! [X51] :
          ( ~ c3_1(X51)
          | c0_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a693)
        & ndr1_0
        & c3_1(a693)
        & c2_1(a693) )
      | ~ hskp22 )
    & ( hskp3
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c0_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X39] :
          ( c3_1(X39)
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c1_1(X5)
          | ~ c2_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp29
      | ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X64] :
          ( ~ c3_1(X64)
          | c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X54] :
          ( c3_1(X54)
          | c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp5
      | hskp20 )
    & ( hskp4
      | ! [X49] :
          ( c2_1(X49)
          | c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c1_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & ndr1_0
        & c2_1(a675) )
      | ~ hskp17 )
    & ( hskp23
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( ~ hskp19
      | ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 ) )
    & ( ~ hskp21
      | ( ~ c0_1(a691)
        & ndr1_0
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648) ) )
    & ( ~ hskp20
      | ( c1_1(a686)
        & c2_1(a686)
        & ndr1_0
        & ~ c3_1(a686) ) )
    & ( ! [X60] :
          ( ~ c0_1(X60)
          | c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( ~ c0_1(X67)
          | c1_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp12
      | ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X55] :
          ( c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( ! [X16] :
          ( c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | hskp8
      | hskp19 )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & ndr1_0
        & c0_1(a671) )
      | ~ hskp28 )
    & ( ( ~ c0_1(a695)
        & ~ c3_1(a695)
        & ndr1_0
        & c2_1(a695) )
      | ~ hskp23 )
    & ( hskp4
      | ! [X65] :
          ( c3_1(X65)
          | c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | hskp2
      | hskp6 )
    & ( ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c0_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp4
      | hskp14
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | c2_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a655)
        & c3_1(a655)
        & ndr1_0
        & c0_1(a655) )
      | ~ hskp27 )
    & ( ~ hskp2
      | ( c1_1(a643)
        & ~ c0_1(a643)
        & c2_1(a643)
        & ndr1_0 ) )
    & ( ~ hskp26
      | ( c3_1(a640)
        & c0_1(a640)
        & ndr1_0
        & c1_1(a640) ) )
    & ( hskp24
      | hskp14
      | hskp17 )
    & ( ~ hskp18
      | ( ~ c2_1(a676)
        & c1_1(a676)
        & ndr1_0
        & c0_1(a676) ) )
    & ( ~ hskp12
      | ( c0_1(a660)
        & ~ c2_1(a660)
        & ~ c1_1(a660)
        & ndr1_0 ) )
    & ( hskp20
      | ! [X41] :
          ( ~ c2_1(X41)
          | c3_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp11
      | hskp21
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp6
      | ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp17
      | hskp1 )
    & ( ~ hskp25
      | ( ~ c3_1(a710)
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ndr1_0 ) )
    & ( hskp17
      | ! [X29] :
          ( c1_1(X29)
          | ~ c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c2_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp9
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X28] :
          ( c3_1(X28)
          | ~ c1_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c3_1(X37)
          | c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ~ hskp5
      | ( ~ c0_1(a647)
        & ndr1_0
        & c1_1(a647)
        & ~ c3_1(a647) ) )
    & ( ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a652)
        & c0_1(a652)
        & ~ c2_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ( ~ c0_1(a665)
        & ~ c1_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ! [X35] :
          ( c2_1(X35)
          | ~ c0_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp20
      | hskp22 )
    & ( hskp17
      | hskp7
      | ! [X25] :
          ( ~ c3_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c1_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c0_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp24
      | hskp2 )
    & ( ~ hskp1
      | ( ~ c1_1(a642)
        & c0_1(a642)
        & ndr1_0
        & c3_1(a642) ) )
    & ( hskp2
      | hskp0
      | ! [X82] :
          ( c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( ~ hskp24
      | ( c1_1(a698)
        & ~ c0_1(a698)
        & ndr1_0
        & ~ c2_1(a698) ) )
    & ( hskp20
      | hskp18
      | hskp2 )
    & ( ( ndr1_0
        & c3_1(a641)
        & ~ c1_1(a641)
        & c2_1(a641) )
      | ~ hskp0 )
    & ( ( ~ c0_1(a654)
        & ~ c2_1(a654)
        & ndr1_0
        & ~ c1_1(a654) )
      | ~ hskp9 )
    & ( hskp27
      | ! [X53] :
          ( c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp16
      | ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c3_1(X84)
            | c2_1(X84) ) )
      | hskp28 )
    & ( ~ hskp3
      | ( ~ c2_1(a645)
        & ndr1_0
        & c1_1(a645)
        & c3_1(a645) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | c1_1(X58)
            | ~ c0_1(X58) ) )
      | hskp7
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c2_1(X59)
            | ~ c1_1(X59) ) ) )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c2_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c3_1(X12) ) )
      | hskp9 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | ~ c3_1(X10)
            | ~ c1_1(X10) ) )
      | hskp8
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c3_1(X9)
            | ~ c1_1(X9) ) ) )
    & ( ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) )
      | ~ hskp4 )
    & ( ( c2_1(a657)
        & ~ c3_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c3_1(X24)
            | ~ c1_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c3_1(X23)
            | c2_1(X23) ) )
      | hskp6 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c0_1(X0)
            | ~ c3_1(X0)
            | c1_1(X0) ) )
      | hskp4
      | hskp18 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c1_1(X14)
            | c3_1(X14)
            | ~ c0_1(X14) ) )
      | hskp7
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | c0_1(X13) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c0_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | ~ c0_1(X32)
            | c3_1(X32) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c2_1(X30)
            | ~ c1_1(X30) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c0_1(X43)
            | c3_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c0_1(X42)
            | ~ c3_1(X42) ) )
      | hskp11 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | ~ c2_1(X6) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c3_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) )
      | hskp1 )
    & ( hskp9
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | ~ c1_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) ) )
    & ( ~ hskp29
      | ( c2_1(a688)
        & c3_1(a688)
        & ndr1_0
        & c1_1(a688) ) )
    & ( hskp23
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c3_1(X69)
            | ~ c0_1(X69) ) )
      | hskp5 )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c1_1(X78)
            | c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c0_1(X79)
            | c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c0_1(X80)
            | ~ c2_1(X80) ) ) )
    & ( ( c3_1(a651)
        & ~ c1_1(a651)
        & ndr1_0
        & ~ c0_1(a651) )
      | ~ hskp7 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | ~ c1_1(X48)
            | c2_1(X48) ) )
      | hskp2
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c1_1(X47)
            | ~ c3_1(X47) ) ) )
    & ( ~ hskp16
      | ( ~ c2_1(a672)
        & ndr1_0
        & ~ c3_1(a672)
        & c1_1(a672) ) )
    & ( hskp0
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | c0_1(X36)
            | c2_1(X36) ) )
      | hskp26 )
    & ( ~ hskp15
      | ( ~ c0_1(a667)
        & ~ c2_1(a667)
        & ndr1_0
        & c3_1(a667) ) )
    & ( hskp15
      | hskp9
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | c0_1(X51)
            | ~ c2_1(X51) ) ) )
    & ( ( ~ c0_1(a693)
        & ndr1_0
        & c3_1(a693)
        & c2_1(a693) )
      | ~ hskp22 )
    & ( hskp3
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c3_1(X86)
            | ~ c1_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c0_1(X85)
            | c1_1(X85) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c1_1(X66) ) )
      | hskp19
      | hskp17 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | ~ c0_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | ~ c0_1(X40) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | ~ c2_1(X5)
            | c0_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | c3_1(X4)
            | ~ c2_1(X4) ) )
      | hskp5 )
    & ( hskp29
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c3_1(X83)
            | ~ c1_1(X83) ) )
      | hskp5 )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c1_1(X64)
            | c0_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | ~ c2_1(X63)
            | ~ c0_1(X63) ) )
      | hskp8 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c3_1(X54)
            | c2_1(X54)
            | ~ c0_1(X54) ) )
      | hskp5
      | hskp20 )
    & ( hskp4
      | ! [X49] :
          ( ndr1_0
         => ( c2_1(X49)
            | c1_1(X49)
            | ~ c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | c1_1(X50)
            | c3_1(X50) ) ) )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & ndr1_0
        & c2_1(a675) )
      | ~ hskp17 )
    & ( hskp23
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | ~ c0_1(X45)
            | ~ c2_1(X45) ) )
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( ~ hskp19
      | ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 ) )
    & ( ~ hskp21
      | ( ~ c0_1(a691)
        & ndr1_0
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648) ) )
    & ( ~ hskp20
      | ( c1_1(a686)
        & c2_1(a686)
        & ndr1_0
        & ~ c3_1(a686) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c0_1(X61)
            | c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | ~ c0_1(X62) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c1_1(X67)
            | c3_1(X67) ) )
      | hskp12
      | ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) ) )
    & ( hskp3
      | hskp15
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | ~ c1_1(X55)
            | ~ c3_1(X55) ) ) )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) )
      | hskp8
      | hskp19 )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & ndr1_0
        & c0_1(a671) )
      | ~ hskp28 )
    & ( ( ~ c0_1(a695)
        & ~ c3_1(a695)
        & ndr1_0
        & c2_1(a695) )
      | ~ hskp23 )
    & ( hskp4
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | c1_1(X65)
            | c0_1(X65) ) )
      | hskp3 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c2_1(X81)
            | c0_1(X81) ) )
      | hskp2
      | hskp6 )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c0_1(X75)
            | c1_1(X75) ) )
      | hskp7 )
    & ( hskp4
      | hskp14
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp27
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c3_1(X33) ) ) )
    & ( hskp11
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c3_1(X72)
            | ~ c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c2_1(X73)
            | c3_1(X73) ) ) )
    & ( ( c2_1(a655)
        & c3_1(a655)
        & ndr1_0
        & c0_1(a655) )
      | ~ hskp27 )
    & ( ~ hskp2
      | ( c1_1(a643)
        & ~ c0_1(a643)
        & c2_1(a643)
        & ndr1_0 ) )
    & ( ~ hskp26
      | ( c3_1(a640)
        & c0_1(a640)
        & ndr1_0
        & c1_1(a640) ) )
    & ( hskp24
      | hskp14
      | hskp17 )
    & ( ~ hskp18
      | ( ~ c2_1(a676)
        & c1_1(a676)
        & ndr1_0
        & c0_1(a676) ) )
    & ( ~ hskp12
      | ( c0_1(a660)
        & ~ c2_1(a660)
        & ~ c1_1(a660)
        & ndr1_0 ) )
    & ( hskp20
      | ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | c3_1(X41)
            | ~ c0_1(X41) ) )
      | hskp12 )
    & ( hskp11
      | hskp21
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | ~ c0_1(X77) ) ) )
    & ( hskp3
      | hskp6
      | ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c2_1(X46)
            | c3_1(X46) ) ) )
    & ( hskp14
      | hskp17
      | hskp1 )
    & ( ~ hskp25
      | ( ~ c3_1(a710)
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ndr1_0 ) )
    & ( hskp17
      | ! [X29] :
          ( ndr1_0
         => ( c1_1(X29)
            | ~ c0_1(X29)
            | ~ c3_1(X29) ) )
      | hskp28 )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | ~ c2_1(X21)
            | ~ c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c1_1(X20)
            | ~ c2_1(X20) ) ) )
    & ( hskp15
      | hskp9
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | ~ c2_1(X15) ) ) )
    & ( hskp13
      | hskp12
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | ~ c1_1(X28)
            | c0_1(X28) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c0_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | ~ c0_1(X38)
            | ~ c1_1(X38) ) )
      | hskp10 )
    & ( ~ hskp5
      | ( ~ c0_1(a647)
        & ndr1_0
        & c1_1(a647)
        & ~ c3_1(a647) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | ~ c2_1(X18)
            | ~ c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c2_1(X19)
            | ~ c1_1(X19) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) ) )
    & ( ( c3_1(a652)
        & c0_1(a652)
        & ~ c2_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | c1_1(X3)
            | ~ c3_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | c2_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( hskp10
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | ~ c1_1(X74) ) )
      | hskp29 )
    & ( ( ~ c0_1(a665)
        & ~ c1_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | ~ c0_1(X35)
            | ~ c3_1(X35) ) )
      | hskp20
      | hskp22 )
    & ( hskp17
      | hskp7
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | c1_1(X25)
            | ~ c2_1(X25) ) ) )
    & ( hskp29
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c0_1(X44)
            | ~ c2_1(X44) ) )
      | hskp1 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c1_1(X88)
            | c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c3_1(X89)
            | ~ c0_1(X89) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | c3_1(X87)
            | c2_1(X87) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | hskp24
      | hskp2 )
    & ( ~ hskp1
      | ( ~ c1_1(a642)
        & c0_1(a642)
        & ndr1_0
        & c3_1(a642) ) )
    & ( hskp2
      | hskp0
      | ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( ~ hskp24
      | ( c1_1(a698)
        & ~ c0_1(a698)
        & ndr1_0
        & ~ c2_1(a698) ) )
    & ( hskp20
      | hskp18
      | hskp2 )
    & ( ( ndr1_0
        & c3_1(a641)
        & ~ c1_1(a641)
        & c2_1(a641) )
      | ~ hskp0 )
    & ( ( ~ c0_1(a654)
        & ~ c2_1(a654)
        & ndr1_0
        & ~ c1_1(a654) )
      | ~ hskp9 )
    & ( hskp27
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c1_1(X52)
            | ~ c3_1(X52) ) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp16
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c3_1(X84)
                | c2_1(X84) ) )
          | hskp28 )
        & ( ~ hskp3
          | ( ~ c2_1(a645)
            & ndr1_0
            & c1_1(a645)
            & c3_1(a645) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c1_1(X58)
                | ~ c0_1(X58) ) )
          | hskp7
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c2_1(X59)
                | ~ c1_1(X59) ) ) )
        & ( hskp2
          | hskp22
          | hskp19 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c2_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c3_1(X12) ) )
          | hskp9 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c3_1(X10)
                | ~ c1_1(X10) ) )
          | hskp8
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c3_1(X9)
                | ~ c1_1(X9) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a646)
            & ~ c2_1(a646)
            & ~ c3_1(a646) )
          | ~ hskp4 )
        & ( ( c2_1(a657)
            & ~ c3_1(a657)
            & c0_1(a657)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c3_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c3_1(X23)
                | c2_1(X23) ) )
          | hskp6 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c0_1(X0)
                | ~ c3_1(X0)
                | c1_1(X0) ) )
          | hskp4
          | hskp18 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | c3_1(X14)
                | ~ c0_1(X14) ) )
          | hskp7
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c0_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c0_1(X32)
                | c3_1(X32) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c0_1(X43)
                | c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c0_1(X42)
                | ~ c3_1(X42) ) )
          | hskp11 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | ~ c2_1(X6) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c3_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) )
          | hskp1 )
        & ( hskp9
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) ) )
        & ( ~ hskp29
          | ( c2_1(a688)
            & c3_1(a688)
            & ndr1_0
            & c1_1(a688) ) )
        & ( hskp23
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c3_1(X69)
                | ~ c0_1(X69) ) )
          | hskp5 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c1_1(X78)
                | c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c0_1(X79)
                | c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c0_1(X80)
                | ~ c2_1(X80) ) ) )
        & ( ( c3_1(a651)
            & ~ c1_1(a651)
            & ndr1_0
            & ~ c0_1(a651) )
          | ~ hskp7 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | c2_1(X48) ) )
          | hskp2
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c1_1(X47)
                | ~ c3_1(X47) ) ) )
        & ( ~ hskp16
          | ( ~ c2_1(a672)
            & ndr1_0
            & ~ c3_1(a672)
            & c1_1(a672) ) )
        & ( hskp0
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | c0_1(X36)
                | c2_1(X36) ) )
          | hskp26 )
        & ( ~ hskp15
          | ( ~ c0_1(a667)
            & ~ c2_1(a667)
            & ndr1_0
            & c3_1(a667) ) )
        & ( hskp15
          | hskp9
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c0_1(X51)
                | ~ c2_1(X51) ) ) )
        & ( ( ~ c0_1(a693)
            & ndr1_0
            & c3_1(a693)
            & c2_1(a693) )
          | ~ hskp22 )
        & ( hskp3
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c3_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c0_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c1_1(X66) ) )
          | hskp19
          | hskp17 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | ~ c0_1(X40) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c3_1(X4)
                | ~ c2_1(X4) ) )
          | hskp5 )
        & ( hskp29
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c1_1(X83) ) )
          | hskp5 )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c1_1(X64)
                | c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | hskp8 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c2_1(X54)
                | ~ c0_1(X54) ) )
          | hskp5
          | hskp20 )
        & ( hskp4
          | ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | c1_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c1_1(X50)
                | c3_1(X50) ) ) )
        & ( ( ~ c3_1(a675)
            & ~ c1_1(a675)
            & ndr1_0
            & c2_1(a675) )
          | ~ hskp17 )
        & ( hskp23
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c0_1(X45)
                | ~ c2_1(X45) ) )
          | hskp25 )
        & ( hskp18
          | hskp1
          | hskp7 )
        & ( ~ hskp19
          | ( ~ c2_1(a682)
            & ~ c1_1(a682)
            & c3_1(a682)
            & ndr1_0 ) )
        & ( ~ hskp21
          | ( ~ c0_1(a691)
            & ndr1_0
            & ~ c1_1(a691)
            & ~ c3_1(a691) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c3_1(a648)
            & ~ c2_1(a648)
            & c0_1(a648) ) )
        & ( ~ hskp20
          | ( c1_1(a686)
            & c2_1(a686)
            & ndr1_0
            & ~ c3_1(a686) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | ~ c0_1(X62) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c1_1(X67)
                | c3_1(X67) ) )
          | hskp12
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) ) )
        & ( hskp3
          | hskp15
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( hskp20
          | hskp24
          | hskp0 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | hskp8
          | hskp19 )
        & ( ( c2_1(a671)
            & c1_1(a671)
            & ndr1_0
            & c0_1(a671) )
          | ~ hskp28 )
        & ( ( ~ c0_1(a695)
            & ~ c3_1(a695)
            & ndr1_0
            & c2_1(a695) )
          | ~ hskp23 )
        & ( hskp4
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c1_1(X65)
                | c0_1(X65) ) )
          | hskp3 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) )
          | hskp2
          | hskp6 )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c0_1(X75)
                | c1_1(X75) ) )
          | hskp7 )
        & ( hskp4
          | hskp14
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp27
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c3_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c2_1(X73)
                | c3_1(X73) ) ) )
        & ( ( c2_1(a655)
            & c3_1(a655)
            & ndr1_0
            & c0_1(a655) )
          | ~ hskp27 )
        & ( ~ hskp2
          | ( c1_1(a643)
            & ~ c0_1(a643)
            & c2_1(a643)
            & ndr1_0 ) )
        & ( ~ hskp26
          | ( c3_1(a640)
            & c0_1(a640)
            & ndr1_0
            & c1_1(a640) ) )
        & ( hskp24
          | hskp14
          | hskp17 )
        & ( ~ hskp18
          | ( ~ c2_1(a676)
            & c1_1(a676)
            & ndr1_0
            & c0_1(a676) ) )
        & ( ~ hskp12
          | ( c0_1(a660)
            & ~ c2_1(a660)
            & ~ c1_1(a660)
            & ndr1_0 ) )
        & ( hskp20
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | ~ c0_1(X41) ) )
          | hskp12 )
        & ( hskp11
          | hskp21
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | ~ c0_1(X77) ) ) )
        & ( hskp3
          | hskp6
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c2_1(X46)
                | c3_1(X46) ) ) )
        & ( hskp14
          | hskp17
          | hskp1 )
        & ( ~ hskp25
          | ( ~ c3_1(a710)
            & ~ c0_1(a710)
            & ~ c2_1(a710)
            & ndr1_0 ) )
        & ( hskp17
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c0_1(X29)
                | ~ c3_1(X29) ) )
          | hskp28 )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | ~ c2_1(X20) ) ) )
        & ( hskp15
          | hskp9
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | ~ c2_1(X15) ) ) )
        & ( hskp13
          | hskp12
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c0_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c0_1(X38)
                | ~ c1_1(X38) ) )
          | hskp10 )
        & ( ~ hskp5
          | ( ~ c0_1(a647)
            & ndr1_0
            & c1_1(a647)
            & ~ c3_1(a647) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) ) )
        & ( ( c3_1(a652)
            & c0_1(a652)
            & ~ c2_1(a652)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c1_1(X3)
                | ~ c3_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | c2_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( hskp10
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | ~ c1_1(X74) ) )
          | hskp29 )
        & ( ( ~ c0_1(a665)
            & ~ c1_1(a665)
            & c2_1(a665)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a661)
            & ~ c1_1(a661)
            & ~ c3_1(a661) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | ~ c0_1(X35)
                | ~ c3_1(X35) ) )
          | hskp20
          | hskp22 )
        & ( hskp17
          | hskp7
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( hskp29
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c0_1(X44)
                | ~ c2_1(X44) ) )
          | hskp1 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c1_1(X88)
                | c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | hskp24
          | hskp2 )
        & ( ~ hskp1
          | ( ~ c1_1(a642)
            & c0_1(a642)
            & ndr1_0
            & c3_1(a642) ) )
        & ( hskp2
          | hskp0
          | ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a656)
            & c2_1(a656)
            & ~ c1_1(a656) ) )
        & ( ~ hskp24
          | ( c1_1(a698)
            & ~ c0_1(a698)
            & ndr1_0
            & ~ c2_1(a698) ) )
        & ( hskp20
          | hskp18
          | hskp2 )
        & ( ( ndr1_0
            & c3_1(a641)
            & ~ c1_1(a641)
            & c2_1(a641) )
          | ~ hskp0 )
        & ( ( ~ c0_1(a654)
            & ~ c2_1(a654)
            & ndr1_0
            & ~ c1_1(a654) )
          | ~ hskp9 )
        & ( hskp27
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c1_1(X52)
                | ~ c3_1(X52) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c3_1(X66)
                | c1_1(X66) ) )
          | hskp4
          | hskp18 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp5
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c3_1(a648)
            & ~ c2_1(a648)
            & c0_1(a648) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | ~ c1_1(X3)
                | c2_1(X3) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c3_1(X81)
                | c2_1(X81) ) )
          | hskp8 )
        & ( ( ~ c0_1(a665)
            & ~ c1_1(a665)
            & c2_1(a665)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | c0_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) )
          | hskp9 )
        & ( ~ hskp24
          | ( c1_1(a698)
            & ~ c0_1(a698)
            & ndr1_0
            & ~ c2_1(a698) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c3_1(X48)
                | ~ c2_1(X48) ) )
          | hskp7
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) ) )
        & ( ~ hskp3
          | ( ~ c2_1(a645)
            & ndr1_0
            & c1_1(a645)
            & c3_1(a645) ) )
        & ( ~ hskp16
          | ( ~ c2_1(a672)
            & ndr1_0
            & ~ c3_1(a672)
            & c1_1(a672) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | hskp15
          | hskp9 )
        & ( hskp20
          | hskp24
          | hskp0 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | ~ c0_1(X75) ) )
          | hskp19
          | hskp8 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c1_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c2_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c1_1(X43)
                | ~ c3_1(X43) ) ) )
        & ( ~ hskp18
          | ( ~ c2_1(a676)
            & c1_1(a676)
            & ndr1_0
            & c0_1(a676) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c3_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | c3_1(X35) ) )
          | hskp6 )
        & ( ~ hskp5
          | ( ~ c0_1(a647)
            & ndr1_0
            & c1_1(a647)
            & ~ c3_1(a647) ) )
        & ( ~ hskp12
          | ( c0_1(a660)
            & ~ c2_1(a660)
            & ~ c1_1(a660)
            & ndr1_0 ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c3_1(X69)
                | ~ c2_1(X69) ) )
          | hskp7
          | hskp17 )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c1_1(X67)
                | ~ c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | ~ c1_1(X68) ) )
          | hskp9 )
        & ( hskp12
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | hskp13 )
        & ( hskp14
          | hskp17
          | hskp1 )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | hskp17
          | hskp28 )
        & ( ~ hskp25
          | ( ~ c3_1(a710)
            & ~ c0_1(a710)
            & ~ c2_1(a710)
            & ndr1_0 ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c3_1(X45)
                | c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c0_1(X46)
                | c3_1(X46) ) ) )
        & ( hskp27
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | ~ c3_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp20
          | hskp22
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c3_1(X79)
                | c2_1(X79) ) ) )
        & ( ~ hskp19
          | ( ~ c2_1(a682)
            & ~ c1_1(a682)
            & c3_1(a682)
            & ndr1_0 ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) )
          | hskp0
          | hskp26 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | c0_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c0_1(X27)
                | ~ c1_1(X27) ) )
          | hskp10 )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) ) )
        & ( hskp12
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c2_1(X86)
                | ~ c0_1(X86) ) )
          | hskp20 )
        & ( ( ndr1_0
            & c3_1(a641)
            & ~ c1_1(a641)
            & c2_1(a641) )
          | ~ hskp0 )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c0_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c0_1(X31)
                | ~ c1_1(X31) ) )
          | hskp11 )
        & ( hskp1
          | hskp29
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( hskp20
          | hskp18
          | hskp2 )
        & ( hskp24
          | hskp14
          | hskp17 )
        & ( hskp23
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | ~ c2_1(X89) ) )
          | hskp25 )
        & ( ~ hskp21
          | ( ~ c0_1(a691)
            & ndr1_0
            & ~ c1_1(a691)
            & ~ c3_1(a691) ) )
        & ( hskp3
          | hskp6
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ( c3_1(a652)
            & c0_1(a652)
            & ~ c2_1(a652)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | ~ c3_1(X11)
                | c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | hskp2 )
        & ( ( c3_1(a651)
            & ~ c1_1(a651)
            & ndr1_0
            & ~ c0_1(a651) )
          | ~ hskp7 )
        & ( ( ~ c0_1(a693)
            & ndr1_0
            & c3_1(a693)
            & c2_1(a693) )
          | ~ hskp22 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c3_1(X53)
                | c2_1(X53) ) )
          | hskp4
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c1_1(X52)
                | c2_1(X52) ) ) )
        & ( ( ~ c0_1(a695)
            & ~ c3_1(a695)
            & ndr1_0
            & c2_1(a695) )
          | ~ hskp23 )
        & ( ( ndr1_0
            & ~ c1_1(a646)
            & ~ c2_1(a646)
            & ~ c3_1(a646) )
          | ~ hskp4 )
        & ( hskp15
          | hskp9
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c0_1(X51)
                | ~ c2_1(X51) ) ) )
        & ( ~ hskp15
          | ( ~ c0_1(a667)
            & ~ c2_1(a667)
            & ndr1_0
            & c3_1(a667) ) )
        & ( hskp27
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c3_1(X34)
                | ~ c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c0_1(X33)
                | ~ c1_1(X33) ) ) )
        & ( hskp5
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | c2_1(X76) ) )
          | hskp20 )
        & ( hskp18
          | hskp1
          | hskp7 )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) )
          | hskp15
          | hskp3 )
        & ( hskp24
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp2 )
        & ( hskp4
          | hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a656)
            & c2_1(a656)
            & ~ c1_1(a656) ) )
        & ( ~ hskp20
          | ( c1_1(a686)
            & c2_1(a686)
            & ndr1_0
            & ~ c3_1(a686) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | hskp7
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) ) )
        & ( ( c2_1(a657)
            & ~ c3_1(a657)
            & c0_1(a657)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c1_1(X57)
                | c3_1(X57) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c0_1(X59)
                | ~ c2_1(X59) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | hskp8 )
        & ( hskp4
          | hskp3
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c0_1(X7)
                | c3_1(X7) ) ) )
        & ( ~ hskp26
          | ( c3_1(a640)
            & c0_1(a640)
            & ndr1_0
            & c1_1(a640) ) )
        & ( ~ hskp29
          | ( c2_1(a688)
            & c3_1(a688)
            & ndr1_0
            & c1_1(a688) ) )
        & ( hskp17
          | hskp19
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c1_1(X54)
                | ~ c0_1(X54) ) )
          | hskp12 )
        & ( hskp5
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp23 )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a661)
            & ~ c1_1(a661)
            & ~ c3_1(a661) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c0_1(X5)
                | ~ c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | hskp1 )
        & ( hskp11
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c3_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c2_1(X73)
                | c3_1(X73) ) ) )
        & ( ( ~ c0_1(a654)
            & ~ c2_1(a654)
            & ndr1_0
            & ~ c1_1(a654) )
          | ~ hskp9 )
        & ( hskp10
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c3_1(X88)
                | ~ c2_1(X88) ) )
          | hskp29 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c3_1(X13)
                | c0_1(X13) ) )
          | hskp7
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp11
          | hskp21
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c0_1(X78)
                | ~ c3_1(X78) ) ) )
        & ( ~ hskp1
          | ( ~ c1_1(a642)
            & c0_1(a642)
            & ndr1_0
            & c3_1(a642) ) )
        & ( ~ hskp2
          | ( c1_1(a643)
            & ~ c0_1(a643)
            & c2_1(a643)
            & ndr1_0 ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c2_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c3_1(X28)
                | c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp2
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | ~ c2_1(X10)
                | c0_1(X10) ) )
          | hskp6 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) )
          | hskp2
          | hskp0 )
        & ( ( ~ c3_1(a675)
            & ~ c1_1(a675)
            & ndr1_0
            & c2_1(a675) )
          | ~ hskp17 )
        & ( hskp5
          | hskp29
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c1_1(X77)
                | c2_1(X77) ) ) )
        & ( ( c2_1(a655)
            & c3_1(a655)
            & ndr1_0
            & c0_1(a655) )
          | ~ hskp27 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c3_1(X56)
                | c2_1(X56) ) )
          | hskp16
          | hskp28 )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c0_1(X17)
                | c1_1(X17) ) )
          | hskp3
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c1_1(X18)
                | ~ c2_1(X18) ) ) )
        & ( ( c2_1(a671)
            & c1_1(a671)
            & ndr1_0
            & c0_1(a671) )
          | ~ hskp28 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c0_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | ~ c3_1(X21) ) ) )
        & ( hskp2
          | hskp22
          | hskp19 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c3_1(X66)
              | c1_1(X66) ) )
        | hskp4
        | hskp18 )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp5
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c3_1(a648)
          & ~ c2_1(a648)
          & c0_1(a648) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | ~ c1_1(X3)
              | c2_1(X3) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c1_1(X82)
              | ~ c2_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c3_1(X81)
              | c2_1(X81) ) )
        | hskp8 )
      & ( ( ~ c0_1(a665)
          & ~ c1_1(a665)
          & c2_1(a665)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c2_1(X22)
              | c0_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | ~ c2_1(X23)
              | c1_1(X23) ) )
        | hskp9 )
      & ( ~ hskp24
        | ( c1_1(a698)
          & ~ c0_1(a698)
          & ndr1_0
          & ~ c2_1(a698) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c3_1(X48)
              | ~ c2_1(X48) ) )
        | hskp7
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c3_1(X49)
              | c1_1(X49) ) ) )
      & ( ~ hskp3
        | ( ~ c2_1(a645)
          & ndr1_0
          & c1_1(a645)
          & c3_1(a645) ) )
      & ( ~ hskp16
        | ( ~ c2_1(a672)
          & ndr1_0
          & ~ c3_1(a672)
          & c1_1(a672) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c3_1(X87)
              | ~ c0_1(X87) ) )
        | hskp15
        | hskp9 )
      & ( hskp20
        | hskp24
        | hskp0 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | c2_1(X75)
              | ~ c0_1(X75) ) )
        | hskp19
        | hskp8 )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c1_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c2_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c1_1(X44)
              | ~ c2_1(X44) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c1_1(X43)
              | ~ c3_1(X43) ) ) )
      & ( ~ hskp18
        | ( ~ c2_1(a676)
          & c1_1(a676)
          & ndr1_0
          & c0_1(a676) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c3_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | c3_1(X35) ) )
        | hskp6 )
      & ( ~ hskp5
        | ( ~ c0_1(a647)
          & ndr1_0
          & c1_1(a647)
          & ~ c3_1(a647) ) )
      & ( ~ hskp12
        | ( c0_1(a660)
          & ~ c2_1(a660)
          & ~ c1_1(a660)
          & ndr1_0 ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c3_1(X69)
              | ~ c2_1(X69) ) )
        | hskp7
        | hskp17 )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | c1_1(X67)
              | ~ c2_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c3_1(X68)
              | ~ c1_1(X68) ) )
        | hskp9 )
      & ( hskp12
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c1_1(X37) ) )
        | hskp13 )
      & ( hskp14
        | hskp17
        | hskp1 )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | hskp17
        | hskp28 )
      & ( ~ hskp25
        | ( ~ c3_1(a710)
          & ~ c0_1(a710)
          & ~ c2_1(a710)
          & ndr1_0 ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | c2_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c3_1(X45)
              | c0_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c0_1(X46)
              | c3_1(X46) ) ) )
      & ( hskp27
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | ~ c3_1(X24)
              | c2_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | ~ c3_1(X25)
              | c1_1(X25) ) ) )
      & ( hskp20
        | hskp22
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c3_1(X79)
              | c2_1(X79) ) ) )
      & ( ~ hskp19
        | ( ~ c2_1(a682)
          & ~ c1_1(a682)
          & c3_1(a682)
          & ndr1_0 ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c0_1(X0)
              | c1_1(X0) ) )
        | hskp0
        | hskp26 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | c0_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c0_1(X27)
              | ~ c1_1(X27) ) )
        | hskp10 )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) ) )
      & ( hskp12
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c2_1(X86)
              | ~ c0_1(X86) ) )
        | hskp20 )
      & ( ( ndr1_0
          & c3_1(a641)
          & ~ c1_1(a641)
          & c2_1(a641) )
        | ~ hskp0 )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c0_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c0_1(X31)
              | ~ c1_1(X31) ) )
        | hskp11 )
      & ( hskp1
        | hskp29
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) ) )
      & ( hskp20
        | hskp18
        | hskp2 )
      & ( hskp24
        | hskp14
        | hskp17 )
      & ( hskp23
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c0_1(X89)
              | ~ c2_1(X89) ) )
        | hskp25 )
      & ( ~ hskp21
        | ( ~ c0_1(a691)
          & ndr1_0
          & ~ c1_1(a691)
          & ~ c3_1(a691) ) )
      & ( hskp3
        | hskp6
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | ~ c2_1(X38)
              | c0_1(X38) ) ) )
      & ( ( c3_1(a652)
          & c0_1(a652)
          & ~ c2_1(a652)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | ~ c3_1(X11)
              | c1_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | hskp2 )
      & ( ( c3_1(a651)
          & ~ c1_1(a651)
          & ndr1_0
          & ~ c0_1(a651) )
        | ~ hskp7 )
      & ( ( ~ c0_1(a693)
          & ndr1_0
          & c3_1(a693)
          & c2_1(a693) )
        | ~ hskp22 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | ~ c3_1(X53)
              | c2_1(X53) ) )
        | hskp4
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c1_1(X52)
              | c2_1(X52) ) ) )
      & ( ( ~ c0_1(a695)
          & ~ c3_1(a695)
          & ndr1_0
          & c2_1(a695) )
        | ~ hskp23 )
      & ( ( ndr1_0
          & ~ c1_1(a646)
          & ~ c2_1(a646)
          & ~ c3_1(a646) )
        | ~ hskp4 )
      & ( hskp15
        | hskp9
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c0_1(X51)
              | ~ c2_1(X51) ) ) )
      & ( ~ hskp15
        | ( ~ c0_1(a667)
          & ~ c2_1(a667)
          & ndr1_0
          & c3_1(a667) ) )
      & ( hskp27
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | ~ c3_1(X34)
              | ~ c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c0_1(X33)
              | ~ c1_1(X33) ) ) )
      & ( hskp5
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | ~ c0_1(X76)
              | c2_1(X76) ) )
        | hskp20 )
      & ( hskp18
        | hskp1
        | hskp7 )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c1_1(X84)
              | c2_1(X84) ) )
        | hskp15
        | hskp3 )
      & ( hskp24
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp2 )
      & ( hskp4
        | hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a656)
          & c2_1(a656)
          & ~ c1_1(a656) ) )
      & ( ~ hskp20
        | ( c1_1(a686)
          & c2_1(a686)
          & ndr1_0
          & ~ c3_1(a686) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | c1_1(X60) ) )
        | hskp7
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | ~ c0_1(X61) ) ) )
      & ( ( c2_1(a657)
          & ~ c3_1(a657)
          & c0_1(a657)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c1_1(X57)
              | c3_1(X57) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | ~ c0_1(X59)
              | ~ c2_1(X59) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | hskp8 )
      & ( hskp4
        | hskp3
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | c0_1(X7)
              | c3_1(X7) ) ) )
      & ( ~ hskp26
        | ( c3_1(a640)
          & c0_1(a640)
          & ndr1_0
          & c1_1(a640) ) )
      & ( ~ hskp29
        | ( c2_1(a688)
          & c3_1(a688)
          & ndr1_0
          & c1_1(a688) ) )
      & ( hskp17
        | hskp19
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c0_1(X55)
              | c3_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c1_1(X54)
              | ~ c0_1(X54) ) )
        | hskp12 )
      & ( hskp5
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp23 )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a661)
          & ~ c1_1(a661)
          & ~ c3_1(a661) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c0_1(X5)
              | ~ c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | hskp1 )
      & ( hskp11
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c3_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c2_1(X73)
              | c3_1(X73) ) ) )
      & ( ( ~ c0_1(a654)
          & ~ c2_1(a654)
          & ndr1_0
          & ~ c1_1(a654) )
        | ~ hskp9 )
      & ( hskp10
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | c3_1(X88)
              | ~ c2_1(X88) ) )
        | hskp29 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c3_1(X13)
              | c0_1(X13) ) )
        | hskp7
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | ~ c3_1(X14)
              | c2_1(X14) ) ) )
      & ( hskp11
        | hskp21
        | ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c0_1(X78)
              | ~ c3_1(X78) ) ) )
      & ( ~ hskp1
        | ( ~ c1_1(a642)
          & c0_1(a642)
          & ndr1_0
          & c3_1(a642) ) )
      & ( ~ hskp2
        | ( c1_1(a643)
          & ~ c0_1(a643)
          & c2_1(a643)
          & ndr1_0 ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c2_1(X30)
              | ~ c0_1(X30) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c3_1(X28)
              | c0_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp2
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | ~ c2_1(X10)
              | c0_1(X10) ) )
        | hskp6 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) )
        | hskp2
        | hskp0 )
      & ( ( ~ c3_1(a675)
          & ~ c1_1(a675)
          & ndr1_0
          & c2_1(a675) )
        | ~ hskp17 )
      & ( hskp5
        | hskp29
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c1_1(X77)
              | c2_1(X77) ) ) )
      & ( ( c2_1(a655)
          & c3_1(a655)
          & ndr1_0
          & c0_1(a655) )
        | ~ hskp27 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | ~ c3_1(X56)
              | c2_1(X56) ) )
        | hskp16
        | hskp28 )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c0_1(X17)
              | c1_1(X17) ) )
        | hskp3
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c1_1(X18)
              | ~ c2_1(X18) ) ) )
      & ( ( c2_1(a671)
          & c1_1(a671)
          & ndr1_0
          & c0_1(a671) )
        | ~ hskp28 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c2_1(X19)
              | c0_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c0_1(X21)
              | ~ c3_1(X21) ) ) )
      & ( hskp2
        | hskp22
        | hskp19 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f934,plain,
    ( spl0_150
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f132,f606,f931]) ).

fof(f606,plain,
    ( spl0_92
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f132,plain,
    ( ~ hskp24
    | c1_1(a698) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f929,plain,
    ( ~ spl0_41
    | spl0_149 ),
    inference(avatar_split_clause,[],[f166,f926,f362]) ).

fof(f362,plain,
    ( spl0_41
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f166,plain,
    ( c2_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f924,plain,
    ( ~ spl0_1
    | spl0_67
    | spl0_33
    | spl0_6 ),
    inference(avatar_split_clause,[],[f27,f207,f323,f487,f188]) ).

fof(f188,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f323,plain,
    ( spl0_33
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f207,plain,
    ( spl0_6
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f27,plain,
    ! [X69] :
      ( hskp23
      | hskp5
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_29
    | spl0_147 ),
    inference(avatar_split_clause,[],[f164,f915,f306]) ).

fof(f306,plain,
    ( spl0_29
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f164,plain,
    ( c1_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f913,plain,
    ( ~ spl0_41
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f168,f910,f362]) ).

fof(f168,plain,
    ( ~ c0_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( spl0_1
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f178,f287,f188]) ).

fof(f287,plain,
    ( spl0_25
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f178,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_66
    | spl0_67 ),
    inference(avatar_split_clause,[],[f32,f487,f481,f212,f188]) ).

fof(f212,plain,
    ( spl0_7
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f481,plain,
    ( spl0_66
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f32,plain,
    ! [X35] :
      ( ~ c3_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | hskp20
      | hskp22
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_1
    | spl0_30
    | spl0_16
    | spl0_18 ),
    inference(avatar_split_clause,[],[f45,f258,f250,f311,f188]) ).

fof(f45,plain,
    ! [X18,X19,X17] :
      ( ~ c3_1(X17)
      | ~ c0_1(X18)
      | c1_1(X17)
      | ~ c2_1(X19)
      | c0_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X18)
      | ~ c2_1(X18) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( ~ spl0_1
    | spl0_33
    | spl0_83
    | spl0_66 ),
    inference(avatar_split_clause,[],[f59,f481,f568,f323,f188]) ).

fof(f59,plain,
    ! [X54] :
      ( hskp20
      | c2_1(X54)
      | ~ c0_1(X54)
      | c3_1(X54)
      | hskp5
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_13
    | spl0_141 ),
    inference(avatar_split_clause,[],[f117,f877,f238]) ).

fof(f238,plain,
    ( spl0_13
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f117,plain,
    ( c3_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f870,plain,
    ( spl0_33
    | spl0_123
    | spl0_104
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f10,f188,f671,f773,f323]) ).

fof(f10,plain,
    ! [X4,X5] :
      ( ~ ndr1_0
      | c1_1(X5)
      | ~ c2_1(X4)
      | hskp5
      | c1_1(X4)
      | ~ c2_1(X5)
      | c3_1(X4)
      | c0_1(X5) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( spl0_66
    | spl0_92
    | spl0_72 ),
    inference(avatar_split_clause,[],[f183,f511,f606,f481]) ).

fof(f183,plain,
    ( hskp0
    | hskp24
    | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_139
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f71,f332,f863]) ).

fof(f332,plain,
    ( spl0_35
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f71,plain,
    ( ~ hskp7
    | ~ c1_1(a651) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( ~ spl0_41
    | spl0_1 ),
    inference(avatar_split_clause,[],[f165,f188,f362]) ).

fof(f165,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( spl0_47
    | ~ spl0_1
    | spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f47,f269,f195,f188,f390]) ).

fof(f390,plain,
    ( spl0_47
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f47,plain,
    ! [X10,X9] :
      ( ~ c2_1(X9)
      | c2_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X9)
      | ~ c1_1(X10)
      | hskp8
      | ~ c3_1(X10)
      | ~ c3_1(X9) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_137
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f179,f287,f848]) ).

fof(f179,plain,
    ( ~ hskp17
    | ~ c1_1(a675) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( spl0_29
    | ~ spl0_1
    | spl0_4
    | spl0_104 ),
    inference(avatar_split_clause,[],[f42,f671,f198,f188,f306]) ).

fof(f198,plain,
    ( spl0_4
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f42,plain,
    ! [X81] :
      ( ~ c2_1(X81)
      | c0_1(X81)
      | hskp6
      | ~ ndr1_0
      | hskp2
      | c1_1(X81) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_36
    | spl0_134 ),
    inference(avatar_split_clause,[],[f88,f832,f337]) ).

fof(f337,plain,
    ( spl0_36
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f88,plain,
    ( c2_1(a688)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( spl0_72
    | spl0_29
    | spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f57,f188,f242,f306,f511]) ).

fof(f57,plain,
    ! [X82] :
      ( ~ ndr1_0
      | c0_1(X82)
      | c1_1(X82)
      | hskp2
      | hskp0
      | c3_1(X82) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f817,plain,
    ( spl0_131
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f109,f198,f814]) ).

fof(f109,plain,
    ( ~ hskp6
    | c0_1(a648) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f812,plain,
    ( ~ spl0_19
    | spl0_130 ),
    inference(avatar_split_clause,[],[f153,f809,f262]) ).

fof(f262,plain,
    ( spl0_19
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f153,plain,
    ( c3_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f807,plain,
    ( ~ spl0_1
    | spl0_46
    | spl0_83 ),
    inference(avatar_split_clause,[],[f50,f568,f385,f188]) ).

fof(f50,plain,
    ! [X40,X39] :
      ( c2_1(X40)
      | ~ c0_1(X40)
      | c3_1(X39)
      | c3_1(X40)
      | ~ c2_1(X39)
      | ~ c0_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( ~ spl0_92
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f131,f803,f606]) ).

fof(f131,plain,
    ( ~ c0_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f801,plain,
    ( ~ spl0_47
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f102,f798,f390]) ).

fof(f102,plain,
    ( ~ c2_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_66
    | spl0_126 ),
    inference(avatar_split_clause,[],[f92,f787,f481]) ).

fof(f92,plain,
    ( c1_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f780,plain,
    ( ~ spl0_124
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f80,f377,f777]) ).

fof(f377,plain,
    ( spl0_44
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f80,plain,
    ( ~ hskp15
    | ~ c0_1(a667) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_1
    | spl0_123
    | spl0_18
    | spl0_57 ),
    inference(avatar_split_clause,[],[f46,f436,f258,f773,f188]) ).

fof(f46,plain,
    ! [X2,X3,X1] :
      ( ~ c0_1(X2)
      | ~ c2_1(X3)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X3)
      | c1_1(X1)
      | c1_1(X3)
      | ~ c2_1(X1)
      | c2_1(X2)
      | ~ c1_1(X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f766,plain,
    ( spl0_121
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f103,f390,f763]) ).

fof(f103,plain,
    ( ~ hskp8
    | c0_1(a652) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_6
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f67,f757,f207]) ).

fof(f67,plain,
    ( ~ c3_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( spl0_119
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f139,f511,f752]) ).

fof(f139,plain,
    ( ~ hskp0
    | c3_1(a641) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( spl0_25
    | spl0_41
    | spl0_92 ),
    inference(avatar_split_clause,[],[f185,f606,f362,f287]) ).

fof(f185,plain,
    ( hskp24
    | hskp14
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f743,plain,
    ( ~ spl0_44
    | spl0_117 ),
    inference(avatar_split_clause,[],[f77,f740,f377]) ).

fof(f77,plain,
    ( c3_1(a667)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( spl0_1
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f118,f238,f188]) ).

fof(f118,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_66
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f89,f733,f481]) ).

fof(f89,plain,
    ( ~ c3_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f731,plain,
    ( ~ spl0_92
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f129,f728,f606]) ).

fof(f129,plain,
    ( ~ c2_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( ~ spl0_112
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f156,f262,f711]) ).

fof(f156,plain,
    ( ~ hskp3
    | ~ c2_1(a645) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_29
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f163,f706,f306]) ).

fof(f163,plain,
    ( ~ c0_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( ~ spl0_44
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f79,f701,f377]) ).

fof(f79,plain,
    ( ~ c2_1(a667)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f699,plain,
    ( ~ spl0_36
    | spl0_109 ),
    inference(avatar_split_clause,[],[f85,f696,f337]) ).

fof(f85,plain,
    ( c1_1(a688)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f688,plain,
    ( ~ spl0_107
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f133,f470,f685]) ).

fof(f470,plain,
    ( spl0_64
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f133,plain,
    ( ~ hskp13
    | ~ c3_1(a661) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f683,plain,
    ( ~ spl0_13
    | spl0_106 ),
    inference(avatar_split_clause,[],[f119,f680,f238]) ).

fof(f119,plain,
    ( c0_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl0_103
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f63,f246,f666]) ).

fof(f246,plain,
    ( spl0_15
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f63,plain,
    ( ~ hskp25
    | ~ c0_1(a710) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_47
    | spl0_102 ),
    inference(avatar_split_clause,[],[f104,f661,f390]) ).

fof(f104,plain,
    ( c3_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_41
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f167,f656,f362]) ).

fof(f167,plain,
    ( ~ c1_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( spl0_100
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f113,f328,f651]) ).

fof(f328,plain,
    ( spl0_34
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f113,plain,
    ( ~ hskp18
    | c0_1(a676) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_29
    | spl0_98 ),
    inference(avatar_split_clause,[],[f162,f639,f306]) ).

fof(f162,plain,
    ( c2_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_7
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f124,f629,f212]) ).

fof(f124,plain,
    ( ~ c0_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_45
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f76,f624,f381]) ).

fof(f381,plain,
    ( spl0_45
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f76,plain,
    ( ~ c0_1(a654)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( spl0_94
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f115,f328,f618]) ).

fof(f115,plain,
    ( ~ hskp18
    | c1_1(a676) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f615,plain,
    ( ~ spl0_66
    | spl0_93 ),
    inference(avatar_split_clause,[],[f91,f612,f481]) ).

fof(f91,plain,
    ( c2_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_1
    | spl0_35
    | spl0_18
    | spl0_25 ),
    inference(avatar_split_clause,[],[f24,f287,f258,f332,f188]) ).

fof(f24,plain,
    ! [X25] :
      ( hskp17
      | ~ c2_1(X25)
      | hskp7
      | ~ ndr1_0
      | c1_1(X25)
      | ~ c3_1(X25) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_64
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f134,f596,f470]) ).

fof(f134,plain,
    ( ~ c1_1(a661)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( spl0_41
    | spl0_25
    | spl0_13 ),
    inference(avatar_split_clause,[],[f181,f238,f287,f362]) ).

fof(f181,plain,
    ( hskp1
    | hskp17
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f593,plain,
    ( ~ spl0_35
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f69,f590,f332]) ).

fof(f69,plain,
    ( ~ c0_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_4
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f111,f562,f198]) ).

fof(f111,plain,
    ( ~ c3_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f560,plain,
    ( spl0_13
    | spl0_36
    | ~ spl0_1
    | spl0_46 ),
    inference(avatar_split_clause,[],[f28,f385,f188,f337,f238]) ).

fof(f28,plain,
    ! [X44] :
      ( ~ c0_1(X44)
      | c3_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | hskp29
      | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( spl0_81
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f174,f323,f556]) ).

fof(f174,plain,
    ( ~ hskp5
    | c1_1(a647) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( spl0_29
    | spl0_54
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f17,f188,f266,f425,f306]) ).

fof(f17,plain,
    ! [X48,X47] :
      ( ~ ndr1_0
      | c1_1(X47)
      | ~ c1_1(X48)
      | c0_1(X47)
      | hskp2
      | c2_1(X48)
      | ~ c3_1(X47)
      | c3_1(X48) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f552,plain,
    ( ~ spl0_80
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f158,f451,f549]) ).

fof(f451,plain,
    ( spl0_60
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c1_1(a660) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f547,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_60
    | spl0_64 ),
    inference(avatar_split_clause,[],[f43,f470,f451,f192,f188]) ).

fof(f43,plain,
    ! [X28] :
      ( hskp13
      | hskp12
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c3_1(X28)
      | c0_1(X28) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( ~ spl0_34
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f116,f543,f328]) ).

fof(f116,plain,
    ( ~ c2_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( ~ spl0_1
    | spl0_46
    | spl0_77
    | spl0_78 ),
    inference(avatar_split_clause,[],[f14,f539,f536,f385,f188]) ).

fof(f14,plain,
    ! [X62,X60,X61] :
      ( c3_1(X61)
      | c1_1(X60)
      | ~ c0_1(X62)
      | c1_1(X61)
      | c3_1(X62)
      | ~ c2_1(X62)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | ~ c0_1(X61) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( ~ spl0_7
    | spl0_76 ),
    inference(avatar_split_clause,[],[f122,f531,f212]) ).

fof(f122,plain,
    ( c3_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_34
    | spl0_29
    | spl0_66 ),
    inference(avatar_split_clause,[],[f184,f481,f306,f328]) ).

fof(f184,plain,
    ( hskp20
    | hskp2
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_72
    | spl0_73 ),
    inference(avatar_split_clause,[],[f137,f515,f511]) ).

fof(f137,plain,
    ( c2_1(a641)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( ~ spl0_15
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f64,f506,f246]) ).

fof(f64,plain,
    ( ~ c3_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_68
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f160,f451,f491]) ).

fof(f160,plain,
    ( ~ hskp12
    | c0_1(a660) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( ~ spl0_65
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f75,f381,f476]) ).

fof(f75,plain,
    ( ~ hskp9
    | ~ c2_1(a654) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f135,f470,f466]) ).

fof(f135,plain,
    ( ~ hskp13
    | c0_1(a661) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( ~ spl0_62
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f73,f381,f461]) ).

fof(f73,plain,
    ( ~ hskp9
    | ~ c1_1(a654) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f159,f455,f451]) ).

fof(f159,plain,
    ( ~ c2_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( spl0_59
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f72,f332,f445]) ).

fof(f72,plain,
    ( ~ hskp7
    | c3_1(a651) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( ~ spl0_33
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f173,f440,f323]) ).

fof(f173,plain,
    ( ~ c3_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_53
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f65,f207,f420]) ).

fof(f65,plain,
    ( ~ hskp23
    | c2_1(a695) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( ~ spl0_33
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f176,f406,f323]) ).

fof(f176,plain,
    ( ~ c0_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_49
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f110,f198,f400]) ).

fof(f110,plain,
    ( ~ hskp6
    | ~ c2_1(a648) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( ~ spl0_1
    | spl0_47
    | spl0_20
    | spl0_16 ),
    inference(avatar_split_clause,[],[f52,f250,f266,f390,f188]) ).

fof(f52,plain,
    ! [X63,X64] :
      ( ~ c2_1(X63)
      | ~ c3_1(X64)
      | hskp8
      | ~ ndr1_0
      | ~ c0_1(X63)
      | c1_1(X64)
      | c0_1(X64)
      | ~ c1_1(X63) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( spl0_44
    | ~ spl0_1
    | spl0_45
    | spl0_46 ),
    inference(avatar_split_clause,[],[f58,f385,f381,f188,f377]) ).

fof(f58,plain,
    ! [X15] :
      ( c3_1(X15)
      | ~ c0_1(X15)
      | hskp9
      | ~ ndr1_0
      | ~ c2_1(X15)
      | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( ~ spl0_25
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f180,f372,f287]) ).

fof(f180,plain,
    ( ~ c3_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( ~ spl0_13
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f120,f367,f238]) ).

fof(f120,plain,
    ( ~ c1_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f350,plain,
    ( spl0_21
    | spl0_18
    | ~ spl0_1
    | spl0_30 ),
    inference(avatar_split_clause,[],[f29,f311,f188,f258,f269]) ).

fof(f29,plain,
    ! [X21,X22,X20] :
      ( ~ c1_1(X21)
      | c0_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | c1_1(X22)
      | ~ c2_1(X21)
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | ~ c1_1(X20)
      | ~ c2_1(X22) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f344,plain,
    ( ~ spl0_36
    | spl0_37 ),
    inference(avatar_split_clause,[],[f87,f341,f337]) ).

fof(f87,plain,
    ( c3_1(a688)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f335,plain,
    ( spl0_13
    | spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f182,f332,f328,f238]) ).

fof(f182,plain,
    ( hskp7
    | hskp18
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f321,plain,
    ( spl0_32
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f154,f262,f318]) ).

fof(f154,plain,
    ( ~ hskp3
    | c1_1(a645) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f316,plain,
    ( ~ spl0_1
    | spl0_30
    | spl0_2
    | spl0_31 ),
    inference(avatar_split_clause,[],[f38,f314,f192,f311,f188]) ).

fof(f38,plain,
    ! [X80,X78,X79] :
      ( ~ c0_1(X78)
      | c2_1(X78)
      | ~ c1_1(X79)
      | ~ c2_1(X80)
      | ~ c1_1(X80)
      | c1_1(X78)
      | c3_1(X79)
      | c0_1(X80)
      | ~ ndr1_0
      | c0_1(X79) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f290,plain,
    ( spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f177,f287,f283]) ).

fof(f177,plain,
    ( ~ hskp17
    | c2_1(a675) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f271,plain,
    ( ~ spl0_1
    | spl0_19
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f22,f269,f266,f262,f188]) ).

fof(f22,plain,
    ! [X86,X85] :
      ( ~ c2_1(X86)
      | c0_1(X85)
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X85)
      | ~ c1_1(X86)
      | ~ c3_1(X86)
      | c1_1(X85) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f252,plain,
    ( ~ spl0_1
    | spl0_15
    | spl0_6
    | spl0_16 ),
    inference(avatar_split_clause,[],[f13,f250,f207,f246,f188]) ).

fof(f13,plain,
    ! [X45] :
      ( ~ c1_1(X45)
      | hskp23
      | hskp25
      | ~ ndr1_0
      | ~ c2_1(X45)
      | ~ c0_1(X45) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f244,plain,
    ( ~ spl0_1
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f36,f242,f238,f235,f188]) ).

fof(f36,plain,
    ! [X70,X71] :
      ( c0_1(X71)
      | hskp1
      | c0_1(X70)
      | c3_1(X71)
      | ~ ndr1_0
      | c1_1(X71)
      | ~ c3_1(X70)
      | ~ c2_1(X70) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f219,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f121,f216,f212]) ).

fof(f121,plain,
    ( c2_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f210,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f68,f207,f203]) ).

fof(f68,plain,
    ( ~ hskp23
    | ~ c0_1(a695) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f7,f198,f195,f192,f188]) ).

fof(f7,plain,
    ! [X24,X23] :
      ( hskp6
      | ~ c3_1(X23)
      | c2_1(X23)
      | ~ c1_1(X24)
      | c0_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X23) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN450+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:56:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (9143)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (9135)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (9152)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (9135)Instruction limit reached!
% 0.19/0.55  % (9135)------------------------------
% 0.19/0.55  % (9135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (9135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (9135)Termination reason: Unknown
% 0.19/0.55  % (9135)Termination phase: Unused predicate definition removal
% 0.19/0.55  
% 0.19/0.55  % (9135)Memory used [KB]: 1151
% 0.19/0.55  % (9135)Time elapsed: 0.005 s
% 0.19/0.55  % (9135)Instructions burned: 2 (million)
% 0.19/0.55  % (9135)------------------------------
% 0.19/0.55  % (9135)------------------------------
% 0.19/0.55  % (9137)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56  % (9153)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56  % (9145)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.60  % (9151)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.60  % (9131)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.60  % (9130)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.61  % (9127)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.61  % (9134)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.61  % (9132)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.61  % (9129)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.61  % (9144)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.94/0.61  % (9156)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.94/0.61  % (9139)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.94/0.62  % (9138)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.94/0.62  % (9141)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.94/0.62  % (9148)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.94/0.62  % (9133)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.94/0.62  % (9146)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.94/0.62  % (9147)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.94/0.62  % (9140)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.94/0.63  Detected maximum model sizes of [30]
% 1.94/0.63  TRYING [1]
% 1.94/0.63  TRYING [2]
% 1.94/0.63  % (9136)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.94/0.63  % (9149)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.94/0.63  % (9128)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.94/0.63  % (9155)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.94/0.63  % (9154)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.24/0.64  % (9134)Instruction limit reached!
% 2.24/0.64  % (9134)------------------------------
% 2.24/0.64  % (9134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64  % (9134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.64  % (9134)Termination reason: Unknown
% 2.24/0.64  % (9134)Termination phase: Saturation
% 2.24/0.64  
% 2.24/0.64  % (9134)Memory used [KB]: 6140
% 2.24/0.64  % (9134)Time elapsed: 0.007 s
% 2.24/0.64  % (9134)Instructions burned: 8 (million)
% 2.24/0.64  % (9134)------------------------------
% 2.24/0.64  % (9134)------------------------------
% 2.24/0.64  % (9150)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 2.24/0.64  Detected maximum model sizes of [30]
% 2.24/0.65  % (9142)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 2.24/0.65  TRYING [3]
% 2.24/0.65  % (9128)Refutation not found, incomplete strategy% (9128)------------------------------
% 2.24/0.65  % (9128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.65  Detected maximum model sizes of [30]
% 2.24/0.65  TRYING [1]
% 2.24/0.65  TRYING [2]
% 2.24/0.65  TRYING [1]
% 2.24/0.65  TRYING [4]
% 2.24/0.65  TRYING [2]
% 2.24/0.65  TRYING [3]
% 2.24/0.66  TRYING [3]
% 2.24/0.66  TRYING [4]
% 2.24/0.67  TRYING [4]
% 2.24/0.67  % (9128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.67  % (9128)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.67  
% 2.24/0.67  % (9128)Memory used [KB]: 6268
% 2.24/0.67  % (9128)Time elapsed: 0.233 s
% 2.24/0.67  % (9128)Instructions burned: 16 (million)
% 2.24/0.67  % (9128)------------------------------
% 2.24/0.67  % (9128)------------------------------
% 2.51/0.67  % (9137)Instruction limit reached!
% 2.51/0.67  % (9137)------------------------------
% 2.51/0.67  % (9137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.67  % (9137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.67  % (9137)Termination reason: Unknown
% 2.51/0.67  % (9137)Termination phase: Saturation
% 2.51/0.67  
% 2.51/0.67  % (9137)Memory used [KB]: 6780
% 2.51/0.67  % (9137)Time elapsed: 0.237 s
% 2.51/0.67  % (9137)Instructions burned: 51 (million)
% 2.51/0.67  % (9137)------------------------------
% 2.51/0.67  % (9137)------------------------------
% 2.51/0.68  % (9130)First to succeed.
% 2.51/0.69  % (9153)Instruction limit reached!
% 2.51/0.69  % (9153)------------------------------
% 2.51/0.69  % (9153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.69  % (9153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.69  % (9153)Termination reason: Unknown
% 2.51/0.69  % (9153)Termination phase: Saturation
% 2.51/0.69  
% 2.51/0.69  % (9153)Memory used [KB]: 6524
% 2.51/0.69  % (9153)Time elapsed: 0.050 s
% 2.51/0.69  % (9153)Instructions burned: 69 (million)
% 2.51/0.69  % (9153)------------------------------
% 2.51/0.69  % (9153)------------------------------
% 2.51/0.69  % (9133)Instruction limit reached!
% 2.51/0.69  % (9133)------------------------------
% 2.51/0.69  % (9133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.69  % (9129)Instruction limit reached!
% 2.51/0.69  % (9129)------------------------------
% 2.51/0.69  % (9129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.69  % (9162)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.51/0.70  % (9144)Instruction limit reached!
% 2.51/0.70  % (9144)------------------------------
% 2.51/0.70  % (9144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.70  % (9144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70  % (9144)Termination reason: Unknown
% 2.51/0.70  % (9144)Termination phase: Finite model building SAT solving
% 2.51/0.70  
% 2.51/0.70  % (9144)Memory used [KB]: 6268
% 2.51/0.70  % (9144)Time elapsed: 0.231 s
% 2.51/0.70  % (9144)Instructions burned: 59 (million)
% 2.51/0.70  % (9144)------------------------------
% 2.51/0.70  % (9144)------------------------------
% 2.51/0.70  % (9132)Instruction limit reached!
% 2.51/0.70  % (9132)------------------------------
% 2.51/0.70  % (9132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.70  % (9132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70  % (9132)Termination reason: Unknown
% 2.51/0.70  % (9132)Termination phase: Saturation
% 2.51/0.70  
% 2.51/0.70  % (9132)Memory used [KB]: 6908
% 2.51/0.70  % (9132)Time elapsed: 0.273 s
% 2.51/0.70  % (9132)Instructions burned: 48 (million)
% 2.51/0.70  % (9132)------------------------------
% 2.51/0.70  % (9132)------------------------------
% 2.51/0.70  % (9129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70  % (9129)Termination reason: Unknown
% 2.51/0.70  % (9129)Termination phase: Saturation
% 2.51/0.70  
% 2.51/0.70  % (9129)Memory used [KB]: 1535
% 2.51/0.70  % (9129)Time elapsed: 0.223 s
% 2.51/0.70  % (9129)Instructions burned: 38 (million)
% 2.51/0.70  % (9129)------------------------------
% 2.51/0.70  % (9129)------------------------------
% 2.51/0.70  % (9136)Instruction limit reached!
% 2.51/0.70  % (9136)------------------------------
% 2.51/0.70  % (9136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.70  % (9136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70  % (9136)Termination reason: Unknown
% 2.51/0.70  % (9136)Termination phase: Saturation
% 2.51/0.70  
% 2.51/0.70  % (9136)Memory used [KB]: 1535
% 2.51/0.70  % (9136)Time elapsed: 0.240 s
% 2.51/0.70  % (9136)Instructions burned: 52 (million)
% 2.51/0.70  % (9136)------------------------------
% 2.51/0.70  % (9136)------------------------------
% 2.51/0.70  % (9138)Also succeeded, but the first one will report.
% 2.51/0.70  % (9130)Refutation found. Thanks to Tanya!
% 2.51/0.70  % SZS status Theorem for theBenchmark
% 2.51/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.51/0.71  % (9130)------------------------------
% 2.51/0.71  % (9130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.71  % (9130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.71  % (9130)Termination reason: Refutation
% 2.51/0.71  
% 2.51/0.71  % (9130)Memory used [KB]: 7164
% 2.51/0.71  % (9130)Time elapsed: 0.259 s
% 2.51/0.71  % (9130)Instructions burned: 36 (million)
% 2.51/0.71  % (9130)------------------------------
% 2.51/0.71  % (9130)------------------------------
% 2.51/0.71  % (9126)Success in time 0.356 s
%------------------------------------------------------------------------------