TSTP Solution File: SYN452-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN452-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Tue Apr 30 18:03:31 EDT 2024
% Result : Unsatisfiable 0.15s 3.15s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 252
% Syntax : Number of formulae : 750 ( 1 unt; 0 def)
% Number of atoms : 2529 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3132 (1353 ~;1642 |; 0 &)
% ( 137 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 168 ( 167 usr; 164 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 25 con; 0-0 aty)
% Number of variables : 163 ( 163 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3516,plain,
$false,
inference(avatar_sat_refutation,[],[f204,f209,f219,f229,f234,f244,f254,f299,f304,f319,f329,f339,f344,f349,f359,f379,f384,f394,f399,f404,f419,f424,f429,f444,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f669,f679,f684,f689,f694,f699,f704,f709,f714,f719,f724,f739,f744,f749,f754,f759,f764,f769,f774,f779,f784,f785,f786,f796,f804,f805,f809,f817,f821,f826,f834,f838,f847,f852,f854,f858,f865,f866,f874,f878,f879,f880,f881,f885,f890,f898,f899,f903,f905,f909,f910,f911,f919,f923,f927,f928,f930,f931,f935,f936,f937,f962,f979,f995,f1010,f1024,f1044,f1051,f1080,f1102,f1104,f1109,f1148,f1152,f1162,f1217,f1239,f1411,f1416,f1447,f1523,f1553,f1564,f1583,f1637,f1665,f1689,f1785,f1837,f1870,f1953,f1954,f1997,f2001,f2018,f2188,f2237,f2311,f2342,f2354,f2362,f2374,f2399,f2444,f2479,f2481,f2705,f2711,f2757,f2770,f2772,f2784,f2858,f2866,f2870,f2885,f2888,f2897,f2930,f2935,f2945,f2963,f2981,f2989,f3011,f3015,f3034,f3040,f3138,f3172,f3199,f3216,f3244,f3292,f3302,f3304,f3364,f3381,f3413,f3513,f3515]) ).
fof(f3515,plain,
( spl0_25
| ~ spl0_44
| ~ spl0_143
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f3514]) ).
fof(f3514,plain,
( $false
| spl0_25
| ~ spl0_44
| ~ spl0_143
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f3511,f303]) ).
fof(f303,plain,
( ~ c3_1(a815)
| spl0_25 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl0_25
<=> c3_1(a815) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f3511,plain,
( c3_1(a815)
| ~ spl0_44
| ~ spl0_143
| ~ spl0_145 ),
inference(resolution,[],[f3494,f398]) ).
fof(f398,plain,
( c0_1(a815)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl0_44
<=> c0_1(a815) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f3494,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0) )
| ~ spl0_143
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f896,f889]) ).
fof(f889,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f888,plain,
( spl0_143
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f896,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f895,plain,
( spl0_145
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f3513,plain,
( spl0_127
| ~ spl0_143
| ~ spl0_144
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f3497,f895,f892,f888,f815]) ).
fof(f815,plain,
( spl0_127
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f892,plain,
( spl0_144
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f3497,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_143
| ~ spl0_144
| ~ spl0_145 ),
inference(resolution,[],[f3494,f893]) ).
fof(f893,plain,
( ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f3413,plain,
( spl0_146
| ~ spl0_131
| ~ spl0_136
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f3402,f868,f856,f832,f901]) ).
fof(f901,plain,
( spl0_146
<=> ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f832,plain,
( spl0_131
<=> ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f856,plain,
( spl0_136
<=> ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f868,plain,
( spl0_139
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f3402,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_131
| ~ spl0_136
| ~ spl0_139 ),
inference(resolution,[],[f3388,f869]) ).
fof(f869,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f3388,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_131
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f833,f857]) ).
fof(f857,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| c0_1(X0) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f833,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f3381,plain,
( spl0_159
| spl0_77
| ~ spl0_139
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f3378,f872,f868,f561,f1214]) ).
fof(f1214,plain,
( spl0_159
<=> c1_1(a830) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f561,plain,
( spl0_77
<=> c2_1(a830) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f872,plain,
( spl0_140
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f3378,plain,
( c1_1(a830)
| spl0_77
| ~ spl0_139
| ~ spl0_140 ),
inference(resolution,[],[f3308,f563]) ).
fof(f563,plain,
( ~ c2_1(a830)
| spl0_77 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f3308,plain,
( ! [X1] :
( c2_1(X1)
| c1_1(X1) )
| ~ spl0_139
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f873,f869]) ).
fof(f873,plain,
( ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f3364,plain,
( spl0_157
| spl0_113
| ~ spl0_116
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f3363,f868,f756,f741,f1125]) ).
fof(f1125,plain,
( spl0_157
<=> c2_1(a820) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f741,plain,
( spl0_113
<=> c1_1(a820) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f756,plain,
( spl0_116
<=> c0_1(a820) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f3363,plain,
( c2_1(a820)
| spl0_113
| ~ spl0_116
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f2852,f743]) ).
fof(f743,plain,
( ~ c1_1(a820)
| spl0_113 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f2852,plain,
( c2_1(a820)
| c1_1(a820)
| ~ spl0_116
| ~ spl0_139 ),
inference(resolution,[],[f869,f758]) ).
fof(f758,plain,
( c0_1(a820)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f3304,plain,
( spl0_155
| ~ spl0_120
| ~ spl0_121
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f3303,f907,f781,f776,f1099]) ).
fof(f1099,plain,
( spl0_155
<=> c3_1(a842) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f776,plain,
( spl0_120
<=> c0_1(a842) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f781,plain,
( spl0_121
<=> c1_1(a842) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f907,plain,
( spl0_147
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f3303,plain,
( c3_1(a842)
| ~ spl0_120
| ~ spl0_121
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f3124,f783]) ).
fof(f783,plain,
( c1_1(a842)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f3124,plain,
( c3_1(a842)
| ~ c1_1(a842)
| ~ spl0_120
| ~ spl0_147 ),
inference(resolution,[],[f908,f778]) ).
fof(f778,plain,
( c0_1(a842)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f908,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f3302,plain,
( ~ spl0_155
| spl0_119
| ~ spl0_120
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f3083,f863,f776,f771,f1099]) ).
fof(f771,plain,
( spl0_119
<=> c2_1(a842) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f863,plain,
( spl0_138
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f3083,plain,
( c2_1(a842)
| ~ c3_1(a842)
| ~ spl0_120
| ~ spl0_138 ),
inference(resolution,[],[f864,f778]) ).
fof(f864,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f3292,plain,
( spl0_150
| ~ spl0_132
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f3291,f933,f836,f921]) ).
fof(f921,plain,
( spl0_150
<=> ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f836,plain,
( spl0_132
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f933,plain,
( spl0_152
<=> ! [X2] :
( ~ c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f3291,plain,
( ! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_132
| ~ spl0_152 ),
inference(duplicate_literal_removal,[],[f3279]) ).
fof(f3279,plain,
( ! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_132
| ~ spl0_152 ),
inference(resolution,[],[f934,f837]) ).
fof(f837,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f934,plain,
( ! [X2] :
( ~ c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f3244,plain,
( spl0_114
| ~ spl0_115
| ~ spl0_117
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f3243]) ).
fof(f3243,plain,
( $false
| spl0_114
| ~ spl0_115
| ~ spl0_117
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f3242,f763]) ).
fof(f763,plain,
( c1_1(a839)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl0_117
<=> c1_1(a839) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f3242,plain,
( ~ c1_1(a839)
| spl0_114
| ~ spl0_115
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f3233,f748]) ).
fof(f748,plain,
( ~ c2_1(a839)
| spl0_114 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl0_114
<=> c2_1(a839) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f3233,plain,
( c2_1(a839)
| ~ c1_1(a839)
| ~ spl0_115
| ~ spl0_151 ),
inference(resolution,[],[f926,f753]) ).
fof(f753,plain,
( c3_1(a839)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl0_115
<=> c3_1(a839) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f926,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl0_151
<=> ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f3216,plain,
( spl0_24
| ~ spl0_50
| ~ spl0_134
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f3215]) ).
fof(f3215,plain,
( $false
| spl0_24
| ~ spl0_50
| ~ spl0_134
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f3204,f428]) ).
fof(f428,plain,
( c1_1(a878)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl0_50
<=> c1_1(a878) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f3204,plain,
( ~ c1_1(a878)
| spl0_24
| ~ spl0_134
| ~ spl0_147 ),
inference(resolution,[],[f3201,f298]) ).
fof(f298,plain,
( ~ c3_1(a878)
| spl0_24 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl0_24
<=> c3_1(a878) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f3201,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_134
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f846,f908]) ).
fof(f846,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f845,plain,
( spl0_134
<=> ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f3199,plain,
( ~ spl0_90
| spl0_69
| ~ spl0_87
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f3196,f921,f611,f521,f626]) ).
fof(f626,plain,
( spl0_90
<=> c2_1(a827) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f521,plain,
( spl0_69
<=> c0_1(a827) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f611,plain,
( spl0_87
<=> c1_1(a827) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f3196,plain,
( ~ c2_1(a827)
| spl0_69
| ~ spl0_87
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f3186,f523]) ).
fof(f523,plain,
( ~ c0_1(a827)
| spl0_69 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f3186,plain,
( c0_1(a827)
| ~ c2_1(a827)
| ~ spl0_87
| ~ spl0_150 ),
inference(resolution,[],[f922,f613]) ).
fof(f613,plain,
( c1_1(a827)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f922,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f3172,plain,
( spl0_98
| spl0_100
| ~ spl0_108
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f3171]) ).
fof(f3171,plain,
( $false
| spl0_98
| spl0_100
| ~ spl0_108
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f3170,f668]) ).
fof(f668,plain,
( ~ c3_1(a817)
| spl0_98 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f666,plain,
( spl0_98
<=> c3_1(a817) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f3170,plain,
( c3_1(a817)
| spl0_100
| ~ spl0_108
| ~ spl0_149 ),
inference(subsumption_resolution,[],[f3157,f718]) ).
fof(f718,plain,
( c2_1(a817)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl0_108
<=> c2_1(a817) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f3157,plain,
( ~ c2_1(a817)
| c3_1(a817)
| spl0_100
| ~ spl0_149 ),
inference(resolution,[],[f917,f678]) ).
fof(f678,plain,
( ~ c0_1(a817)
| spl0_100 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl0_100
<=> c0_1(a817) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f917,plain,
( ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f916,plain,
( spl0_149
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f3138,plain,
( spl0_25
| ~ spl0_44
| ~ spl0_45
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f3137,f907,f401,f396,f301]) ).
fof(f401,plain,
( spl0_45
<=> c1_1(a815) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f3137,plain,
( c3_1(a815)
| ~ spl0_44
| ~ spl0_45
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f3131,f403]) ).
fof(f403,plain,
( c1_1(a815)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f3131,plain,
( c3_1(a815)
| ~ c1_1(a815)
| ~ spl0_44
| ~ spl0_147 ),
inference(resolution,[],[f908,f398]) ).
fof(f3040,plain,
( ~ spl0_87
| ~ spl0_90
| ~ spl0_132
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f3039]) ).
fof(f3039,plain,
( $false
| ~ spl0_87
| ~ spl0_90
| ~ spl0_132
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f3029,f628]) ).
fof(f628,plain,
( c2_1(a827)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f3029,plain,
( ~ c2_1(a827)
| ~ spl0_87
| ~ spl0_132
| ~ spl0_141 ),
inference(resolution,[],[f3016,f613]) ).
fof(f3016,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_132
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f877,f837]) ).
fof(f877,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl0_141
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f3034,plain,
( ~ spl0_89
| ~ spl0_92
| ~ spl0_132
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f3033]) ).
fof(f3033,plain,
( $false
| ~ spl0_89
| ~ spl0_92
| ~ spl0_132
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f3023,f638]) ).
fof(f638,plain,
( c2_1(a818)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl0_92
<=> c2_1(a818) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f3023,plain,
( ~ c2_1(a818)
| ~ spl0_89
| ~ spl0_132
| ~ spl0_141 ),
inference(resolution,[],[f3016,f623]) ).
fof(f623,plain,
( c1_1(a818)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl0_89
<=> c1_1(a818) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f3015,plain,
( spl0_169
| spl0_76
| ~ spl0_82
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2853,f868,f586,f556,f2258]) ).
fof(f2258,plain,
( spl0_169
<=> c1_1(a816) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f556,plain,
( spl0_76
<=> c2_1(a816) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f586,plain,
( spl0_82
<=> c0_1(a816) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f2853,plain,
( c2_1(a816)
| c1_1(a816)
| ~ spl0_82
| ~ spl0_139 ),
inference(resolution,[],[f869,f588]) ).
fof(f588,plain,
( c0_1(a816)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f3011,plain,
( spl0_68
| spl0_77
| ~ spl0_144
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f3010]) ).
fof(f3010,plain,
( $false
| spl0_68
| spl0_77
| ~ spl0_144
| ~ spl0_159 ),
inference(subsumption_resolution,[],[f3009,f1216]) ).
fof(f1216,plain,
( c1_1(a830)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f3009,plain,
( ~ c1_1(a830)
| spl0_68
| spl0_77
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f3002,f563]) ).
fof(f3002,plain,
( c2_1(a830)
| ~ c1_1(a830)
| spl0_68
| ~ spl0_144 ),
inference(resolution,[],[f893,f518]) ).
fof(f518,plain,
( ~ c0_1(a830)
| spl0_68 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f516,plain,
( spl0_68
<=> c0_1(a830) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f2989,plain,
( spl0_112
| ~ spl0_116
| ~ spl0_143
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f2988]) ).
fof(f2988,plain,
( $false
| spl0_112
| ~ spl0_116
| ~ spl0_143
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f2987,f1127]) ).
fof(f1127,plain,
( c2_1(a820)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f2987,plain,
( ~ c2_1(a820)
| spl0_112
| ~ spl0_116
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2975,f738]) ).
fof(f738,plain,
( ~ c3_1(a820)
| spl0_112 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl0_112
<=> c3_1(a820) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f2975,plain,
( c3_1(a820)
| ~ c2_1(a820)
| ~ spl0_116
| ~ spl0_143 ),
inference(resolution,[],[f889,f758]) ).
fof(f2981,plain,
( spl0_65
| ~ spl0_85
| ~ spl0_93
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2980]) ).
fof(f2980,plain,
( $false
| spl0_65
| ~ spl0_85
| ~ spl0_93
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2979,f643]) ).
fof(f643,plain,
( c2_1(a838)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f641,plain,
( spl0_93
<=> c2_1(a838) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f2979,plain,
( ~ c2_1(a838)
| spl0_65
| ~ spl0_85
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2971,f503]) ).
fof(f503,plain,
( ~ c3_1(a838)
| spl0_65 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl0_65
<=> c3_1(a838) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f2971,plain,
( c3_1(a838)
| ~ c2_1(a838)
| ~ spl0_85
| ~ spl0_143 ),
inference(resolution,[],[f889,f603]) ).
fof(f603,plain,
( c0_1(a838)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl0_85
<=> c0_1(a838) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f2963,plain,
( spl0_150
| ~ spl0_131
| ~ spl0_132
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2952,f856,f836,f832,f921]) ).
fof(f2952,plain,
( ! [X0] :
( c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_131
| ~ spl0_132
| ~ spl0_136 ),
inference(resolution,[],[f2951,f837]) ).
fof(f2951,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0) )
| ~ spl0_131
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f857,f833]) ).
fof(f2945,plain,
( ~ spl0_156
| spl0_98
| ~ spl0_108
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2944,f836,f716,f666,f1106]) ).
fof(f1106,plain,
( spl0_156
<=> c1_1(a817) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f2944,plain,
( ~ c1_1(a817)
| spl0_98
| ~ spl0_108
| ~ spl0_132 ),
inference(subsumption_resolution,[],[f2925,f718]) ).
fof(f2925,plain,
( ~ c1_1(a817)
| ~ c2_1(a817)
| spl0_98
| ~ spl0_132 ),
inference(resolution,[],[f837,f668]) ).
fof(f2935,plain,
( spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[],[f2934]) ).
fof(f2934,plain,
( $false
| spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_132 ),
inference(subsumption_resolution,[],[f2933,f243]) ).
fof(f243,plain,
( c2_1(a892)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_13
<=> c2_1(a892) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f2933,plain,
( ~ c2_1(a892)
| spl0_6
| ~ spl0_11
| ~ spl0_132 ),
inference(subsumption_resolution,[],[f2914,f233]) ).
fof(f233,plain,
( c1_1(a892)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl0_11
<=> c1_1(a892) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2914,plain,
( ~ c1_1(a892)
| ~ c2_1(a892)
| spl0_6
| ~ spl0_132 ),
inference(resolution,[],[f837,f208]) ).
fof(f208,plain,
( ~ c3_1(a892)
| spl0_6 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl0_6
<=> c3_1(a892) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2930,plain,
( spl0_150
| ~ spl0_131
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2929,f836,f832,f921]) ).
fof(f2929,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) )
| ~ spl0_131
| ~ spl0_132 ),
inference(duplicate_literal_removal,[],[f2912]) ).
fof(f2912,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_131
| ~ spl0_132 ),
inference(resolution,[],[f837,f833]) ).
fof(f2897,plain,
( ~ spl0_154
| spl0_75
| ~ spl0_83
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2896,f802,f591,f551,f1056]) ).
fof(f1056,plain,
( spl0_154
<=> c3_1(a828) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f551,plain,
( spl0_75
<=> c1_1(a828) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f591,plain,
( spl0_83
<=> c0_1(a828) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f802,plain,
( spl0_124
<=> ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f2896,plain,
( ~ c3_1(a828)
| spl0_75
| ~ spl0_83
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f2880,f553]) ).
fof(f553,plain,
( ~ c1_1(a828)
| spl0_75 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f2880,plain,
( c1_1(a828)
| ~ c3_1(a828)
| ~ spl0_83
| ~ spl0_124 ),
inference(resolution,[],[f803,f593]) ).
fof(f593,plain,
( c0_1(a828)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f803,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f2888,plain,
( spl0_74
| ~ spl0_79
| ~ spl0_86
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f2887]) ).
fof(f2887,plain,
( $false
| spl0_74
| ~ spl0_79
| ~ spl0_86
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f2886,f573]) ).
fof(f573,plain,
( c3_1(a862)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl0_79
<=> c3_1(a862) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f2886,plain,
( ~ c3_1(a862)
| spl0_74
| ~ spl0_86
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f2873,f548]) ).
fof(f548,plain,
( ~ c1_1(a862)
| spl0_74 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl0_74
<=> c1_1(a862) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f2873,plain,
( c1_1(a862)
| ~ c3_1(a862)
| ~ spl0_86
| ~ spl0_124 ),
inference(resolution,[],[f803,f608]) ).
fof(f608,plain,
( c0_1(a862)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl0_86
<=> c0_1(a862) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f2885,plain,
( spl0_162
| ~ spl0_104
| ~ spl0_106
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2884,f802,f706,f696,f1356]) ).
fof(f1356,plain,
( spl0_162
<=> c1_1(a826) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f696,plain,
( spl0_104
<=> c3_1(a826) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f706,plain,
( spl0_106
<=> c0_1(a826) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f2884,plain,
( c1_1(a826)
| ~ spl0_104
| ~ spl0_106
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f2871,f698]) ).
fof(f698,plain,
( c3_1(a826)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f2871,plain,
( c1_1(a826)
| ~ c3_1(a826)
| ~ spl0_106
| ~ spl0_124 ),
inference(resolution,[],[f803,f708]) ).
fof(f708,plain,
( c0_1(a826)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f2870,plain,
( spl0_159
| spl0_77
| spl0_64
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2869,f794,f496,f561,f1214]) ).
fof(f496,plain,
( spl0_64
<=> c3_1(a830) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f794,plain,
( spl0_122
<=> ! [X0] :
( c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2869,plain,
( c2_1(a830)
| c1_1(a830)
| spl0_64
| ~ spl0_122 ),
inference(resolution,[],[f498,f795]) ).
fof(f795,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f498,plain,
( ~ c3_1(a830)
| spl0_64 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f2866,plain,
( spl0_78
| spl0_75
| ~ spl0_83
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2865,f868,f591,f551,f566]) ).
fof(f566,plain,
( spl0_78
<=> c2_1(a828) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f2865,plain,
( c2_1(a828)
| spl0_75
| ~ spl0_83
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f2851,f553]) ).
fof(f2851,plain,
( c2_1(a828)
| c1_1(a828)
| ~ spl0_83
| ~ spl0_139 ),
inference(resolution,[],[f869,f593]) ).
fof(f2858,plain,
( spl0_167
| spl0_74
| ~ spl0_86
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2857,f868,f606,f546,f1874]) ).
fof(f1874,plain,
( spl0_167
<=> c2_1(a862) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f2857,plain,
( c2_1(a862)
| spl0_74
| ~ spl0_86
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f2844,f548]) ).
fof(f2844,plain,
( c2_1(a862)
| c1_1(a862)
| ~ spl0_86
| ~ spl0_139 ),
inference(resolution,[],[f869,f608]) ).
fof(f2784,plain,
( ~ spl0_162
| ~ spl0_104
| ~ spl0_131
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2775,f860,f832,f696,f1356]) ).
fof(f860,plain,
( spl0_137
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f2775,plain,
( ~ c1_1(a826)
| ~ spl0_104
| ~ spl0_131
| ~ spl0_137 ),
inference(resolution,[],[f2735,f698]) ).
fof(f2735,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_131
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f833,f861]) ).
fof(f861,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f2772,plain,
( ~ spl0_161
| spl0_101
| ~ spl0_135
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f2763,f921,f849,f681,f1347]) ).
fof(f1347,plain,
( spl0_161
<=> c2_1(a831) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f681,plain,
( spl0_101
<=> c0_1(a831) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f849,plain,
( spl0_135
<=> ! [X0] :
( ~ c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f2763,plain,
( ~ c2_1(a831)
| spl0_101
| ~ spl0_135
| ~ spl0_150 ),
inference(resolution,[],[f2734,f683]) ).
fof(f683,plain,
( ~ c0_1(a831)
| spl0_101 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f2734,plain,
( ! [X0] :
( c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_135
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f922,f850]) ).
fof(f850,plain,
( ! [X0] :
( ~ c2_1(X0)
| c1_1(X0)
| c0_1(X0) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f2770,plain,
( spl0_141
| ~ spl0_135
| ~ spl0_137
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f2759,f921,f860,f849,f876]) ).
fof(f2759,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_135
| ~ spl0_137
| ~ spl0_150 ),
inference(resolution,[],[f2734,f861]) ).
fof(f2757,plain,
( ~ spl0_162
| ~ spl0_104
| ~ spl0_106
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2756,f860,f706,f696,f1356]) ).
fof(f2756,plain,
( ~ c1_1(a826)
| ~ spl0_104
| ~ spl0_106
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f2755,f698]) ).
fof(f2755,plain,
( ~ c1_1(a826)
| ~ c3_1(a826)
| ~ spl0_106
| ~ spl0_137 ),
inference(resolution,[],[f708,f861]) ).
fof(f2711,plain,
( spl0_30
| spl0_34
| ~ spl0_123
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2710,plain,
( $false
| spl0_30
| spl0_34
| ~ spl0_123
| ~ spl0_163 ),
inference(subsumption_resolution,[],[f2709,f1415]) ).
fof(f1415,plain,
( c3_1(a860)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f1413,plain,
( spl0_163
<=> c3_1(a860) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f2709,plain,
( ~ c3_1(a860)
| spl0_30
| spl0_34
| ~ spl0_123 ),
inference(subsumption_resolution,[],[f2690,f348]) ).
fof(f348,plain,
( ~ c2_1(a860)
| spl0_34 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl0_34
<=> c2_1(a860) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f2690,plain,
( c2_1(a860)
| ~ c3_1(a860)
| spl0_30
| ~ spl0_123 ),
inference(resolution,[],[f799,f328]) ).
fof(f328,plain,
( ~ c0_1(a860)
| spl0_30 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl0_30
<=> c0_1(a860) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f799,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl0_123
<=> ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f2705,plain,
( spl0_101
| ~ spl0_105
| ~ spl0_123
| spl0_161 ),
inference(avatar_contradiction_clause,[],[f2704]) ).
fof(f2704,plain,
( $false
| spl0_101
| ~ spl0_105
| ~ spl0_123
| spl0_161 ),
inference(subsumption_resolution,[],[f2703,f703]) ).
fof(f703,plain,
( c3_1(a831)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f701,plain,
( spl0_105
<=> c3_1(a831) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f2703,plain,
( ~ c3_1(a831)
| spl0_101
| ~ spl0_123
| spl0_161 ),
inference(subsumption_resolution,[],[f2685,f1348]) ).
fof(f1348,plain,
( ~ c2_1(a831)
| spl0_161 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f2685,plain,
( c2_1(a831)
| ~ c3_1(a831)
| spl0_101
| ~ spl0_123 ),
inference(resolution,[],[f799,f683]) ).
fof(f2481,plain,
( ~ spl0_120
| ~ spl0_121
| ~ spl0_137
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f2480]) ).
fof(f2480,plain,
( $false
| ~ spl0_120
| ~ spl0_121
| ~ spl0_137
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f2472,f783]) ).
fof(f2472,plain,
( ~ c1_1(a842)
| ~ spl0_120
| ~ spl0_137
| ~ spl0_147 ),
inference(resolution,[],[f2469,f778]) ).
fof(f2469,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_137
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f908,f861]) ).
fof(f2479,plain,
( ~ spl0_84
| ~ spl0_89
| ~ spl0_137
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f2478]) ).
fof(f2478,plain,
( $false
| ~ spl0_84
| ~ spl0_89
| ~ spl0_137
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f2471,f623]) ).
fof(f2471,plain,
( ~ c1_1(a818)
| ~ spl0_84
| ~ spl0_137
| ~ spl0_147 ),
inference(resolution,[],[f2469,f598]) ).
fof(f598,plain,
( c0_1(a818)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f596,plain,
( spl0_84
<=> c0_1(a818) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2444,plain,
( spl0_101
| spl0_102
| ~ spl0_105
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f2443]) ).
fof(f2443,plain,
( $false
| spl0_101
| spl0_102
| ~ spl0_105
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f2442,f683]) ).
fof(f2442,plain,
( c0_1(a831)
| spl0_102
| ~ spl0_105
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f2422,f688]) ).
fof(f688,plain,
( ~ c1_1(a831)
| spl0_102 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl0_102
<=> c1_1(a831) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f2422,plain,
( c1_1(a831)
| c0_1(a831)
| ~ spl0_105
| ~ spl0_136 ),
inference(resolution,[],[f857,f703]) ).
fof(f2399,plain,
( ~ spl0_157
| spl0_113
| ~ spl0_116
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2393,f883,f756,f741,f1125]) ).
fof(f883,plain,
( spl0_142
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f2393,plain,
( ~ c2_1(a820)
| spl0_113
| ~ spl0_116
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f2384,f743]) ).
fof(f2384,plain,
( c1_1(a820)
| ~ c2_1(a820)
| ~ spl0_116
| ~ spl0_142 ),
inference(resolution,[],[f884,f758]) ).
fof(f884,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f2374,plain,
( ~ spl0_169
| ~ spl0_81
| ~ spl0_82
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2373,f860,f586,f581,f2258]) ).
fof(f581,plain,
( spl0_81
<=> c3_1(a816) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2373,plain,
( ~ c1_1(a816)
| ~ spl0_81
| ~ spl0_82
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f2369,f583]) ).
fof(f583,plain,
( c3_1(a816)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f2369,plain,
( ~ c1_1(a816)
| ~ c3_1(a816)
| ~ spl0_82
| ~ spl0_137 ),
inference(resolution,[],[f861,f588]) ).
fof(f2362,plain,
( ~ spl0_167
| spl0_74
| ~ spl0_79
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2343,f824,f571,f546,f1874]) ).
fof(f824,plain,
( spl0_129
<=> ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2343,plain,
( ~ c2_1(a862)
| spl0_74
| ~ spl0_79
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f2328,f548]) ).
fof(f2328,plain,
( c1_1(a862)
| ~ c2_1(a862)
| ~ spl0_79
| ~ spl0_129 ),
inference(resolution,[],[f825,f573]) ).
fof(f825,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f2354,plain,
( ~ spl0_161
| spl0_102
| ~ spl0_105
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2353,f824,f701,f686,f1347]) ).
fof(f2353,plain,
( ~ c2_1(a831)
| spl0_102
| ~ spl0_105
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f2335,f688]) ).
fof(f2335,plain,
( c1_1(a831)
| ~ c2_1(a831)
| ~ spl0_105
| ~ spl0_129 ),
inference(resolution,[],[f825,f703]) ).
fof(f2342,plain,
( spl0_162
| ~ spl0_104
| ~ spl0_107
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2341,f824,f711,f696,f1356]) ).
fof(f711,plain,
( spl0_107
<=> c2_1(a826) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f2341,plain,
( c1_1(a826)
| ~ spl0_104
| ~ spl0_107
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f2327,f713]) ).
fof(f713,plain,
( c2_1(a826)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f2327,plain,
( c1_1(a826)
| ~ c2_1(a826)
| ~ spl0_104
| ~ spl0_129 ),
inference(resolution,[],[f825,f698]) ).
fof(f2311,plain,
( ~ spl0_41
| ~ spl0_48
| ~ spl0_53
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f2310]) ).
fof(f2310,plain,
( $false
| ~ spl0_41
| ~ spl0_48
| ~ spl0_53
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f2309,f383]) ).
fof(f383,plain,
( c3_1(a865)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl0_41
<=> c3_1(a865) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2309,plain,
( ~ c3_1(a865)
| ~ spl0_48
| ~ spl0_53
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f2294,f443]) ).
fof(f443,plain,
( c2_1(a865)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl0_53
<=> c2_1(a865) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f2294,plain,
( ~ c2_1(a865)
| ~ c3_1(a865)
| ~ spl0_48
| ~ spl0_141 ),
inference(resolution,[],[f877,f418]) ).
fof(f418,plain,
( c1_1(a865)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl0_48
<=> c1_1(a865) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f2237,plain,
( spl0_101
| ~ spl0_105
| ~ spl0_131
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f2236]) ).
fof(f2236,plain,
( $false
| spl0_101
| ~ spl0_105
| ~ spl0_131
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f2222,f683]) ).
fof(f2222,plain,
( c0_1(a831)
| ~ spl0_105
| ~ spl0_131
| ~ spl0_136 ),
inference(resolution,[],[f2198,f703]) ).
fof(f2198,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0) )
| ~ spl0_131
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f857,f833]) ).
fof(f2188,plain,
( spl0_28
| ~ spl0_50
| ~ spl0_131
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f2187]) ).
fof(f2187,plain,
( $false
| spl0_28
| ~ spl0_50
| ~ spl0_131
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f2173,f318]) ).
fof(f318,plain,
( ~ c0_1(a878)
| spl0_28 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl0_28
<=> c0_1(a878) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2173,plain,
( c0_1(a878)
| ~ spl0_50
| ~ spl0_131
| ~ spl0_134 ),
inference(resolution,[],[f2159,f428]) ).
fof(f2159,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0) )
| ~ spl0_131
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f846,f833]) ).
fof(f2018,plain,
( spl0_78
| ~ spl0_122
| ~ spl0_127
| spl0_154 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2017,plain,
( $false
| spl0_78
| ~ spl0_122
| ~ spl0_127
| spl0_154 ),
inference(subsumption_resolution,[],[f2013,f568]) ).
fof(f568,plain,
( ~ c2_1(a828)
| spl0_78 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f2013,plain,
( c2_1(a828)
| ~ spl0_122
| ~ spl0_127
| spl0_154 ),
inference(resolution,[],[f2004,f1058]) ).
fof(f1058,plain,
( ~ c3_1(a828)
| spl0_154 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f2004,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0) )
| ~ spl0_122
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f795,f816]) ).
fof(f816,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f2001,plain,
( spl0_64
| spl0_77
| ~ spl0_127
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f2000]) ).
fof(f2000,plain,
( $false
| spl0_64
| spl0_77
| ~ spl0_127
| ~ spl0_159 ),
inference(subsumption_resolution,[],[f1999,f1216]) ).
fof(f1999,plain,
( ~ c1_1(a830)
| spl0_64
| spl0_77
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f1991,f563]) ).
fof(f1991,plain,
( c2_1(a830)
| ~ c1_1(a830)
| spl0_64
| ~ spl0_127 ),
inference(resolution,[],[f816,f498]) ).
fof(f1997,plain,
( spl0_119
| ~ spl0_121
| ~ spl0_127
| spl0_155 ),
inference(avatar_contradiction_clause,[],[f1996]) ).
fof(f1996,plain,
( $false
| spl0_119
| ~ spl0_121
| ~ spl0_127
| spl0_155 ),
inference(subsumption_resolution,[],[f1995,f783]) ).
fof(f1995,plain,
( ~ c1_1(a842)
| spl0_119
| ~ spl0_127
| spl0_155 ),
inference(subsumption_resolution,[],[f1985,f773]) ).
fof(f773,plain,
( ~ c2_1(a842)
| spl0_119 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f1985,plain,
( c2_1(a842)
| ~ c1_1(a842)
| ~ spl0_127
| spl0_155 ),
inference(resolution,[],[f816,f1101]) ).
fof(f1101,plain,
( ~ c3_1(a842)
| spl0_155 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1954,plain,
( spl0_122
| ~ spl0_130
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1764,f868,f828,f794]) ).
fof(f828,plain,
( spl0_130
<=> ! [X0] :
( c3_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1764,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| c3_1(X0) )
| ~ spl0_130
| ~ spl0_139 ),
inference(duplicate_literal_removal,[],[f1753]) ).
fof(f1753,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) )
| ~ spl0_130
| ~ spl0_139 ),
inference(resolution,[],[f869,f829]) ).
fof(f829,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c3_1(X0) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f1953,plain,
( spl0_122
| ~ spl0_128
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1763,f868,f819,f794]) ).
fof(f819,plain,
( spl0_128
<=> ! [X0] :
( c3_1(X0)
| c1_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1763,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| c3_1(X0) )
| ~ spl0_128
| ~ spl0_139 ),
inference(duplicate_literal_removal,[],[f1754]) ).
fof(f1754,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| c1_1(X0)
| c3_1(X0) )
| ~ spl0_128
| ~ spl0_139 ),
inference(resolution,[],[f869,f820]) ).
fof(f820,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c3_1(X0) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f1870,plain,
( spl0_74
| ~ spl0_86
| ~ spl0_139
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1861,f883,f868,f606,f546]) ).
fof(f1861,plain,
( c1_1(a862)
| ~ spl0_86
| ~ spl0_139
| ~ spl0_142 ),
inference(resolution,[],[f1852,f608]) ).
fof(f1852,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1) )
| ~ spl0_139
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f884,f869]) ).
fof(f1837,plain,
( ~ spl0_41
| ~ spl0_48
| ~ spl0_131
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1836,plain,
( $false
| ~ spl0_41
| ~ spl0_48
| ~ spl0_131
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f1820,f418]) ).
fof(f1820,plain,
( ~ c1_1(a865)
| ~ spl0_41
| ~ spl0_131
| ~ spl0_137 ),
inference(resolution,[],[f1809,f383]) ).
fof(f1809,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_131
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f833,f861]) ).
fof(f1785,plain,
( spl0_103
| ~ spl0_109
| ~ spl0_135
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1784,plain,
( $false
| spl0_103
| ~ spl0_109
| ~ spl0_135
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f1776,f693]) ).
fof(f693,plain,
( ~ c1_1(a844)
| spl0_103 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl0_103
<=> c1_1(a844) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1776,plain,
( c1_1(a844)
| ~ spl0_109
| ~ spl0_135
| ~ spl0_142 ),
inference(resolution,[],[f1766,f723]) ).
fof(f723,plain,
( c2_1(a844)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl0_109
<=> c2_1(a844) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1766,plain,
( ! [X1] :
( ~ c2_1(X1)
| c1_1(X1) )
| ~ spl0_135
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f884,f850]) ).
fof(f1689,plain,
( spl0_30
| spl0_32
| spl0_34
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1688,plain,
( $false
| spl0_30
| spl0_32
| spl0_34
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f1687,f338]) ).
fof(f338,plain,
( ~ c1_1(a860)
| spl0_32 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl0_32
<=> c1_1(a860) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1687,plain,
( c1_1(a860)
| spl0_30
| spl0_34
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f1679,f348]) ).
fof(f1679,plain,
( c2_1(a860)
| c1_1(a860)
| spl0_30
| ~ spl0_140 ),
inference(resolution,[],[f873,f328]) ).
fof(f1665,plain,
( spl0_113
| ~ spl0_116
| ~ spl0_139
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1664,plain,
( $false
| spl0_113
| ~ spl0_116
| ~ spl0_139
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f1655,f743]) ).
fof(f1655,plain,
( c1_1(a820)
| ~ spl0_116
| ~ spl0_139
| ~ spl0_142 ),
inference(resolution,[],[f1645,f758]) ).
fof(f1645,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1) )
| ~ spl0_139
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f884,f869]) ).
fof(f1637,plain,
( spl0_33
| spl0_36
| ~ spl0_139
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1636,plain,
( $false
| spl0_33
| spl0_36
| ~ spl0_139
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f1626,f343]) ).
fof(f343,plain,
( ~ c1_1(a856)
| spl0_33 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl0_33
<=> c1_1(a856) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1626,plain,
( c1_1(a856)
| spl0_36
| ~ spl0_139
| ~ spl0_140 ),
inference(resolution,[],[f1625,f358]) ).
fof(f358,plain,
( ~ c2_1(a856)
| spl0_36 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl0_36
<=> c2_1(a856) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1625,plain,
( ! [X1] :
( c2_1(X1)
| c1_1(X1) )
| ~ spl0_139
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f873,f869]) ).
fof(f1583,plain,
( ~ spl0_91
| spl0_70
| spl0_73
| ~ spl0_128
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1580,f824,f819,f541,f526,f631]) ).
fof(f631,plain,
( spl0_91
<=> c2_1(a821) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f526,plain,
( spl0_70
<=> c0_1(a821) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f541,plain,
( spl0_73
<=> c1_1(a821) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1580,plain,
( ~ c2_1(a821)
| spl0_70
| spl0_73
| ~ spl0_128
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f1579,f543]) ).
fof(f543,plain,
( ~ c1_1(a821)
| spl0_73 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f1579,plain,
( c1_1(a821)
| ~ c2_1(a821)
| spl0_70
| spl0_73
| ~ spl0_128
| ~ spl0_129 ),
inference(resolution,[],[f1566,f825]) ).
fof(f1566,plain,
( c3_1(a821)
| spl0_70
| spl0_73
| ~ spl0_128 ),
inference(subsumption_resolution,[],[f1565,f543]) ).
fof(f1565,plain,
( c1_1(a821)
| c3_1(a821)
| spl0_70
| ~ spl0_128 ),
inference(resolution,[],[f528,f820]) ).
fof(f528,plain,
( ~ c0_1(a821)
| spl0_70 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f1564,plain,
( spl0_77
| spl0_64
| spl0_68
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1563,f828,f516,f496,f561]) ).
fof(f1563,plain,
( c2_1(a830)
| spl0_64
| spl0_68
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f1561,f498]) ).
fof(f1561,plain,
( c2_1(a830)
| c3_1(a830)
| spl0_68
| ~ spl0_130 ),
inference(resolution,[],[f518,f829]) ).
fof(f1553,plain,
( ~ spl0_104
| ~ spl0_107
| ~ spl0_129
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
fof(f1552,plain,
( $false
| ~ spl0_104
| ~ spl0_107
| ~ spl0_129
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f1536,f713]) ).
fof(f1536,plain,
( ~ c2_1(a826)
| ~ spl0_104
| ~ spl0_129
| ~ spl0_141 ),
inference(resolution,[],[f1531,f698]) ).
fof(f1531,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_129
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f877,f825]) ).
fof(f1523,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_49
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f1522]) ).
fof(f1522,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_49
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f1521,f378]) ).
fof(f378,plain,
( c3_1(a833)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl0_40
<=> c3_1(a833) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1521,plain,
( ~ c3_1(a833)
| ~ spl0_43
| ~ spl0_49
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f1509,f423]) ).
fof(f423,plain,
( c1_1(a833)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl0_49
<=> c1_1(a833) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1509,plain,
( ~ c1_1(a833)
| ~ c3_1(a833)
| ~ spl0_43
| ~ spl0_137 ),
inference(resolution,[],[f861,f393]) ).
fof(f393,plain,
( c0_1(a833)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl0_43
<=> c0_1(a833) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1447,plain,
( spl0_24
| ~ spl0_50
| ~ spl0_122
| ~ spl0_127
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1446,plain,
( $false
| spl0_24
| ~ spl0_50
| ~ spl0_122
| ~ spl0_127
| ~ spl0_132 ),
inference(subsumption_resolution,[],[f1438,f428]) ).
fof(f1438,plain,
( ~ c1_1(a878)
| spl0_24
| ~ spl0_122
| ~ spl0_127
| ~ spl0_132 ),
inference(resolution,[],[f1419,f298]) ).
fof(f1419,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_122
| ~ spl0_127
| ~ spl0_132 ),
inference(subsumption_resolution,[],[f837,f1220]) ).
fof(f1220,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0) )
| ~ spl0_122
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f816,f795]) ).
fof(f1416,plain,
( spl0_163
| spl0_32
| spl0_30
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1408,f819,f326,f336,f1413]) ).
fof(f1408,plain,
( c1_1(a860)
| c3_1(a860)
| spl0_30
| ~ spl0_128 ),
inference(resolution,[],[f328,f820]) ).
fof(f1411,plain,
( spl0_32
| spl0_30
| ~ spl0_128
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1407,f856,f819,f326,f336]) ).
fof(f1407,plain,
( c1_1(a860)
| spl0_30
| ~ spl0_128
| ~ spl0_136 ),
inference(resolution,[],[f328,f1153]) ).
fof(f1153,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0) )
| ~ spl0_128
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f857,f820]) ).
fof(f1239,plain,
( spl0_157
| spl0_112
| spl0_113
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1238,f794,f741,f736,f1125]) ).
fof(f1238,plain,
( c2_1(a820)
| spl0_112
| spl0_113
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f1237,f743]) ).
fof(f1237,plain,
( c2_1(a820)
| c1_1(a820)
| spl0_112
| ~ spl0_122 ),
inference(resolution,[],[f738,f795]) ).
fof(f1217,plain,
( spl0_64
| spl0_159
| spl0_68
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f971,f819,f516,f1214,f496]) ).
fof(f971,plain,
( c1_1(a830)
| c3_1(a830)
| spl0_68
| ~ spl0_128 ),
inference(resolution,[],[f820,f518]) ).
fof(f1162,plain,
( spl0_119
| ~ spl0_120
| ~ spl0_138
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1161,plain,
( $false
| spl0_119
| ~ spl0_120
| ~ spl0_138
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f1158,f773]) ).
fof(f1158,plain,
( c2_1(a842)
| ~ spl0_120
| ~ spl0_138
| ~ spl0_145 ),
inference(resolution,[],[f1129,f778]) ).
fof(f1129,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_138
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f896,f864]) ).
fof(f1152,plain,
( spl0_32
| spl0_34
| ~ spl0_122
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
fof(f1151,plain,
( $false
| spl0_32
| spl0_34
| ~ spl0_122
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f1144,f338]) ).
fof(f1144,plain,
( c1_1(a860)
| spl0_34
| ~ spl0_122
| ~ spl0_146 ),
inference(resolution,[],[f1111,f348]) ).
fof(f1111,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0) )
| ~ spl0_122
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f902,f795]) ).
fof(f902,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f1148,plain,
( spl0_33
| spl0_36
| ~ spl0_122
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1147,plain,
( $false
| spl0_33
| spl0_36
| ~ spl0_122
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f1138,f343]) ).
fof(f1138,plain,
( c1_1(a856)
| spl0_36
| ~ spl0_122
| ~ spl0_146 ),
inference(resolution,[],[f1111,f358]) ).
fof(f1109,plain,
( spl0_98
| spl0_156
| spl0_100
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f968,f819,f676,f1106,f666]) ).
fof(f968,plain,
( c1_1(a817)
| c3_1(a817)
| spl0_100
| ~ spl0_128 ),
inference(resolution,[],[f820,f678]) ).
fof(f1104,plain,
( ~ spl0_121
| spl0_119
| ~ spl0_120
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1103,f807,f776,f771,f781]) ).
fof(f807,plain,
( spl0_125
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1103,plain,
( ~ c1_1(a842)
| spl0_119
| ~ spl0_120
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f1094,f773]) ).
fof(f1094,plain,
( c2_1(a842)
| ~ c1_1(a842)
| ~ spl0_120
| ~ spl0_125 ),
inference(resolution,[],[f778,f808]) ).
fof(f808,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f1102,plain,
( ~ spl0_155
| ~ spl0_121
| ~ spl0_120
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1093,f860,f776,f781,f1099]) ).
fof(f1093,plain,
( ~ c1_1(a842)
| ~ c3_1(a842)
| ~ spl0_120
| ~ spl0_137 ),
inference(resolution,[],[f778,f861]) ).
fof(f1080,plain,
( ~ spl0_84
| ~ spl0_89
| ~ spl0_92
| ~ spl0_132
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f1079]) ).
fof(f1079,plain,
( $false
| ~ spl0_84
| ~ spl0_89
| ~ spl0_92
| ~ spl0_132
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f1078,f638]) ).
fof(f1078,plain,
( ~ c2_1(a818)
| ~ spl0_84
| ~ spl0_89
| ~ spl0_132
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f1068,f623]) ).
fof(f1068,plain,
( ~ c1_1(a818)
| ~ c2_1(a818)
| ~ spl0_84
| ~ spl0_89
| ~ spl0_132
| ~ spl0_137 ),
inference(resolution,[],[f837,f1032]) ).
fof(f1032,plain,
( ~ c3_1(a818)
| ~ spl0_84
| ~ spl0_89
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f1026,f623]) ).
fof(f1026,plain,
( ~ c1_1(a818)
| ~ c3_1(a818)
| ~ spl0_84
| ~ spl0_137 ),
inference(resolution,[],[f861,f598]) ).
fof(f1051,plain,
( spl0_75
| spl0_78
| ~ spl0_83
| ~ spl0_122
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1048,f863,f794,f591,f566,f551]) ).
fof(f1048,plain,
( c1_1(a828)
| spl0_78
| ~ spl0_83
| ~ spl0_122
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f1047,f568]) ).
fof(f1047,plain,
( c2_1(a828)
| c1_1(a828)
| spl0_78
| ~ spl0_83
| ~ spl0_122
| ~ spl0_138 ),
inference(resolution,[],[f1041,f795]) ).
fof(f1041,plain,
( ~ c3_1(a828)
| spl0_78
| ~ spl0_83
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f1038,f568]) ).
fof(f1038,plain,
( c2_1(a828)
| ~ c3_1(a828)
| ~ spl0_83
| ~ spl0_138 ),
inference(resolution,[],[f864,f593]) ).
fof(f1044,plain,
( spl0_76
| ~ spl0_81
| ~ spl0_82
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1043,plain,
( $false
| spl0_76
| ~ spl0_81
| ~ spl0_82
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f1042,f583]) ).
fof(f1042,plain,
( ~ c3_1(a816)
| spl0_76
| ~ spl0_82
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f1040,f558]) ).
fof(f558,plain,
( ~ c2_1(a816)
| spl0_76 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f1040,plain,
( c2_1(a816)
| ~ c3_1(a816)
| ~ spl0_82
| ~ spl0_138 ),
inference(resolution,[],[f864,f588]) ).
fof(f1024,plain,
( spl0_70
| spl0_73
| ~ spl0_91
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1023,plain,
( $false
| spl0_70
| spl0_73
| ~ spl0_91
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f1022,f528]) ).
fof(f1022,plain,
( c0_1(a821)
| spl0_73
| ~ spl0_91
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f1017,f543]) ).
fof(f1017,plain,
( c1_1(a821)
| c0_1(a821)
| ~ spl0_91
| ~ spl0_135 ),
inference(resolution,[],[f850,f633]) ).
fof(f633,plain,
( c2_1(a821)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1010,plain,
( spl0_71
| ~ spl0_80
| ~ spl0_88
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| spl0_71
| ~ spl0_80
| ~ spl0_88
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f1008,f618]) ).
fof(f618,plain,
( c1_1(a825)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f616,plain,
( spl0_88
<=> c1_1(a825) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1008,plain,
( ~ c1_1(a825)
| spl0_71
| ~ spl0_80
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f1003,f533]) ).
fof(f533,plain,
( ~ c0_1(a825)
| spl0_71 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl0_71
<=> c0_1(a825) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1003,plain,
( c0_1(a825)
| ~ c1_1(a825)
| ~ spl0_80
| ~ spl0_131 ),
inference(resolution,[],[f833,f578]) ).
fof(f578,plain,
( c3_1(a825)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl0_80
<=> c3_1(a825) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f995,plain,
( spl0_5
| spl0_8
| ~ spl0_10
| ~ spl0_122
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| spl0_5
| spl0_8
| ~ spl0_10
| ~ spl0_122
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f993,f946]) ).
fof(f946,plain,
( c1_1(a857)
| spl0_5
| spl0_8
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f939,f218]) ).
fof(f218,plain,
( ~ c2_1(a857)
| spl0_8 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl0_8
<=> c2_1(a857) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f939,plain,
( c2_1(a857)
| c1_1(a857)
| spl0_5
| ~ spl0_122 ),
inference(resolution,[],[f795,f203]) ).
fof(f203,plain,
( ~ c3_1(a857)
| spl0_5 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl0_5
<=> c3_1(a857) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f993,plain,
( ~ c1_1(a857)
| spl0_8
| ~ spl0_10
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f987,f218]) ).
fof(f987,plain,
( c2_1(a857)
| ~ c1_1(a857)
| ~ spl0_10
| ~ spl0_125 ),
inference(resolution,[],[f808,f228]) ).
fof(f228,plain,
( c0_1(a857)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_10
<=> c0_1(a857) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f979,plain,
( spl0_72
| spl0_66
| spl0_67
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f978,f819,f511,f506,f536]) ).
fof(f536,plain,
( spl0_72
<=> c1_1(a855) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f506,plain,
( spl0_66
<=> c3_1(a855) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f511,plain,
( spl0_67
<=> c0_1(a855) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f978,plain,
( c1_1(a855)
| spl0_66
| spl0_67
| ~ spl0_128 ),
inference(subsumption_resolution,[],[f970,f508]) ).
fof(f508,plain,
( ~ c3_1(a855)
| spl0_66 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f970,plain,
( c1_1(a855)
| c3_1(a855)
| spl0_67
| ~ spl0_128 ),
inference(resolution,[],[f820,f513]) ).
fof(f513,plain,
( ~ c0_1(a855)
| spl0_67 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f962,plain,
( spl0_64
| spl0_77
| ~ spl0_122
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| spl0_64
| spl0_77
| ~ spl0_122
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f958,f563]) ).
fof(f958,plain,
( c2_1(a830)
| spl0_64
| ~ spl0_122
| ~ spl0_127 ),
inference(resolution,[],[f950,f498]) ).
fof(f950,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0) )
| ~ spl0_122
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f816,f795]) ).
fof(f937,plain,
( spl0_122
| spl0_149
| spl0_132
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f173,f182,f836,f916,f794]) ).
fof(f182,plain,
( spl0_1
<=> ndr1_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| c3_1(X2)
| c3_1(X0)
| c3_1(X1)
| c0_1(X1)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f936,plain,
( spl0_122
| spl0_139
| spl0_141
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f174,f182,f876,f868,f794]) ).
fof(f174,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c2_1(X1)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f935,plain,
( spl0_127
| spl0_142
| spl0_152
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f179,f182,f933,f883,f815]) ).
fof(f179,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| c3_1(X0)
| c0_1(X2)
| c1_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f931,plain,
( spl0_150
| spl0_125
| spl0_146
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f178,f182,f901,f807,f921]) ).
fof(f178,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f930,plain,
( spl0_135
| spl0_147
| spl0_131
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f175,f182,f832,f907,f849]) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| c3_1(X0)
| c0_1(X1)
| c0_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f928,plain,
( spl0_139
| spl0_137
| spl0_146
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f180,f182,f901,f860,f868]) ).
fof(f180,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X2)
| ~ c1_1(X0)
| c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f927,plain,
( spl0_123
| spl0_151
| spl0_124
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f177,f182,f802,f925,f798]) ).
fof(f177,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X0)
| c0_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f923,plain,
( spl0_150
| spl0_136
| spl0_110
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f159,f182,f726,f856,f921]) ).
fof(f726,plain,
( spl0_110
<=> hskp3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp3
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f919,plain,
( spl0_146
| spl0_137
| spl0_110
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f167,f182,f726,f860,f901]) ).
fof(f167,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp3
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| c1_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f911,plain,
( spl0_140
| spl0_143
| spl0_95
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f154,f182,f651,f888,f872]) ).
fof(f651,plain,
( spl0_95
<=> hskp2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f154,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp2
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f910,plain,
( spl0_144
| spl0_138
| spl0_94
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f160,f182,f646,f863,f892]) ).
fof(f646,plain,
( spl0_94
<=> hskp9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp9
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f909,plain,
( spl0_147
| spl0_131
| spl0_94
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f166,f182,f646,f832,f907]) ).
fof(f166,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp9
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| c3_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f905,plain,
( spl0_139
| spl0_138
| spl0_94
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f164,f182,f646,f863,f868]) ).
fof(f164,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp9
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f903,plain,
( spl0_146
| spl0_136
| spl0_95
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f155,f182,f651,f856,f901]) ).
fof(f155,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp2
| ~ c3_1(X1)
| ~ c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| c1_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f899,plain,
( spl0_140
| spl0_139
| spl0_60
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f151,f182,f476,f868,f872]) ).
fof(f476,plain,
( spl0_60
<=> hskp1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f151,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp1
| ~ c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f898,plain,
( spl0_130
| spl0_145
| spl0_57
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f153,f182,f461,f895,f828]) ).
fof(f461,plain,
( spl0_57
<=> hskp5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f153,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp5
| ~ c0_1(X0)
| c3_1(X0)
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f890,plain,
( spl0_134
| spl0_143
| spl0_58
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f162,f182,f466,f888,f845]) ).
fof(f466,plain,
( spl0_58
<=> hskp6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f162,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp6
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f885,plain,
( spl0_142
| spl0_125
| spl0_59
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f168,f182,f471,f807,f883]) ).
fof(f471,plain,
( spl0_59
<=> hskp19 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp19
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| c1_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f881,plain,
( spl0_130
| spl0_123
| spl0_55
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f152,f182,f451,f798,f828]) ).
fof(f451,plain,
( spl0_55
<=> hskp4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f152,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp4
| ~ c3_1(X0)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| c2_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f880,plain,
( spl0_122
| spl0_129
| spl0_58
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f158,f182,f466,f824,f794]) ).
fof(f158,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp6
| ~ c3_1(X0)
| ~ c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f879,plain,
( spl0_127
| spl0_138
| spl0_56
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f165,f182,f456,f863,f815]) ).
fof(f456,plain,
( spl0_56
<=> hskp23 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f165,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp23
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f878,plain,
( spl0_141
| spl0_137
| spl0_61
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f172,f182,f481,f860,f876]) ).
fof(f481,plain,
( spl0_61
<=> hskp8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f172,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp8
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f874,plain,
( spl0_140
| spl0_122
| spl0_18
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f149,f182,f266,f794,f872]) ).
fof(f266,plain,
( spl0_18
<=> hskp0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f149,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp0
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f866,plain,
( spl0_124
| spl0_129
| spl0_20
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f169,f182,f276,f824,f802]) ).
fof(f276,plain,
( spl0_20
<=> hskp20 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp20
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X0)
| c1_1(X0)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f865,plain,
( spl0_137
| spl0_138
| spl0_17
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f171,f182,f261,f863,f860]) ).
fof(f261,plain,
( spl0_17
<=> hskp29 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f171,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp29
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f858,plain,
( spl0_128
| spl0_136
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f150,f182,f856,f819]) ).
fof(f150,axiom,
! [X0,X1] :
( ~ ndr1_0
| ~ c3_1(X0)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f854,plain,
( spl0_131
| spl0_118
| spl0_111
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f140,f182,f731,f766,f832]) ).
fof(f766,plain,
( spl0_118
<=> hskp14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f731,plain,
( spl0_111
<=> hskp13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f140,axiom,
! [X0] :
( ~ ndr1_0
| hskp13
| hskp14
| ~ c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f852,plain,
( spl0_132
| spl0_118
| spl0_62
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f145,f182,f486,f766,f836]) ).
fof(f486,plain,
( spl0_62
<=> hskp7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f145,axiom,
! [X0] :
( ~ ndr1_0
| hskp7
| hskp14
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f847,plain,
( spl0_134
| spl0_111
| spl0_54
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f136,f182,f446,f731,f845]) ).
fof(f446,plain,
( spl0_54
<=> hskp12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f136,axiom,
! [X0] :
( ~ ndr1_0
| hskp12
| hskp13
| ~ c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f838,plain,
( spl0_132
| spl0_95
| spl0_60
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f147,f182,f476,f651,f836]) ).
fof(f147,axiom,
! [X0] :
( ~ ndr1_0
| hskp1
| hskp2
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f834,plain,
( spl0_131
| spl0_97
| spl0_61
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f141,f182,f481,f661,f832]) ).
fof(f661,plain,
( spl0_97
<=> hskp15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f141,axiom,
! [X0] :
( ~ ndr1_0
| hskp8
| hskp15
| ~ c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f826,plain,
( spl0_129
| spl0_118
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f143,f182,f246,f766,f824]) ).
fof(f246,plain,
( spl0_14
<=> hskp22 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f143,axiom,
! [X0] :
( ~ ndr1_0
| hskp22
| hskp14
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f821,plain,
( spl0_128
| spl0_63
| spl0_18
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f130,f182,f266,f491,f819]) ).
fof(f491,plain,
( spl0_63
<=> hskp26 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f130,axiom,
! [X0] :
( ~ ndr1_0
| hskp0
| hskp26
| c3_1(X0)
| c0_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f817,plain,
( spl0_127
| spl0_60
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f139,f182,f246,f476,f815]) ).
fof(f139,axiom,
! [X0] :
( ~ ndr1_0
| hskp22
| hskp1
| ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f809,plain,
( spl0_125
| spl0_59
| spl0_17
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f144,f182,f261,f471,f807]) ).
fof(f144,axiom,
! [X0] :
( ~ ndr1_0
| hskp29
| hskp19
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f805,plain,
( spl0_123
| spl0_63
| spl0_16
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f134,f182,f256,f491,f798]) ).
fof(f256,plain,
( spl0_16
<=> hskp28 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f134,axiom,
! [X0] :
( ~ ndr1_0
| hskp28
| hskp26
| ~ c3_1(X0)
| c0_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f804,plain,
( spl0_124
| spl0_111
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f142,f182,f196,f731,f802]) ).
fof(f196,plain,
( spl0_4
<=> hskp21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f142,axiom,
! [X0] :
( ~ ndr1_0
| hskp21
| hskp13
| ~ c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f796,plain,
( spl0_122
| spl0_96
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f129,f182,f656,f794]) ).
fof(f656,plain,
( spl0_96
<=> hskp27 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f129,axiom,
! [X0] :
( ~ ndr1_0
| hskp27
| c3_1(X0)
| c1_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f786,plain,
( spl0_57
| spl0_56
| spl0_3 ),
inference(avatar_split_clause,[],[f36,f191,f456,f461]) ).
fof(f191,plain,
( spl0_3
<=> hskp25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f36,axiom,
( hskp25
| hskp23
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f785,plain,
( spl0_118
| spl0_15 ),
inference(avatar_split_clause,[],[f1,f251,f766]) ).
fof(f251,plain,
( spl0_15
<=> hskp24 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1,axiom,
( hskp24
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f784,plain,
( spl0_121
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f64,f766,f781]) ).
fof(f64,axiom,
( ~ hskp14
| c1_1(a842) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f779,plain,
( spl0_120
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f63,f766,f776]) ).
fof(f63,axiom,
( ~ hskp14
| c0_1(a842) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f774,plain,
( ~ spl0_119
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f107,f766,f771]) ).
fof(f107,axiom,
( ~ hskp14
| ~ c2_1(a842) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f769,plain,
( spl0_1
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f17,f766,f182]) ).
fof(f17,axiom,
( ~ hskp14
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f764,plain,
( spl0_117
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f65,f731,f761]) ).
fof(f65,axiom,
( ~ hskp13
| c1_1(a839) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f759,plain,
( spl0_116
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f80,f726,f756]) ).
fof(f80,axiom,
( ~ hskp3
| c0_1(a820) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f754,plain,
( spl0_115
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f66,f731,f751]) ).
fof(f66,axiom,
( ~ hskp13
| c3_1(a839) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f749,plain,
( ~ spl0_114
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f108,f731,f746]) ).
fof(f108,axiom,
( ~ hskp13
| ~ c2_1(a839) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f744,plain,
( ~ spl0_113
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f123,f726,f741]) ).
fof(f123,axiom,
( ~ hskp3
| ~ c1_1(a820) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f739,plain,
( ~ spl0_112
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f124,f726,f736]) ).
fof(f124,axiom,
( ~ hskp3
| ~ c3_1(a820) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f724,plain,
( spl0_109
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f62,f661,f721]) ).
fof(f62,axiom,
( ~ hskp15
| c2_1(a844) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f719,plain,
( spl0_108
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f81,f651,f716]) ).
fof(f81,axiom,
( ~ hskp2
| c2_1(a817) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f714,plain,
( spl0_107
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f46,f656,f711]) ).
fof(f46,axiom,
( ~ hskp27
| c2_1(a826) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f709,plain,
( spl0_106
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f45,f656,f706]) ).
fof(f45,axiom,
( ~ hskp27
| c0_1(a826) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f704,plain,
( spl0_105
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f73,f646,f701]) ).
fof(f73,axiom,
( ~ hskp9
| c3_1(a831) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f699,plain,
( spl0_104
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f47,f656,f696]) ).
fof(f47,axiom,
( ~ hskp27
| c3_1(a826) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f694,plain,
( ~ spl0_103
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f105,f661,f691]) ).
fof(f105,axiom,
( ~ hskp15
| ~ c1_1(a844) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f689,plain,
( ~ spl0_102
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f113,f646,f686]) ).
fof(f113,axiom,
( ~ hskp9
| ~ c1_1(a831) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f684,plain,
( ~ spl0_101
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f112,f646,f681]) ).
fof(f112,axiom,
( ~ hskp9
| ~ c0_1(a831) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f679,plain,
( ~ spl0_100
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f125,f651,f676]) ).
fof(f125,axiom,
( ~ hskp2
| ~ c0_1(a817) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f669,plain,
( ~ spl0_98
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f126,f651,f666]) ).
fof(f126,axiom,
( ~ hskp2
| ~ c3_1(a817) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f644,plain,
( spl0_93
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f68,f446,f641]) ).
fof(f68,axiom,
( ~ hskp12
| c2_1(a838) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f639,plain,
( spl0_92
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f50,f491,f636]) ).
fof(f50,axiom,
( ~ hskp26
| c2_1(a818) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f634,plain,
( spl0_91
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f79,f451,f631]) ).
fof(f79,axiom,
( ~ hskp4
| c2_1(a821) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f629,plain,
( spl0_90
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f76,f466,f626]) ).
fof(f76,axiom,
( ~ hskp6
| c2_1(a827) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f624,plain,
( spl0_89
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f49,f491,f621]) ).
fof(f49,axiom,
( ~ hskp26
| c1_1(a818) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f619,plain,
( spl0_88
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f77,f461,f616]) ).
fof(f77,axiom,
( ~ hskp5
| c1_1(a825) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f614,plain,
( spl0_87
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f75,f466,f611]) ).
fof(f75,axiom,
( ~ hskp6
| c1_1(a827) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f609,plain,
( spl0_86
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f54,f456,f606]) ).
fof(f54,axiom,
( ~ hskp23
| c0_1(a862) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f604,plain,
( spl0_85
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f67,f446,f601]) ).
fof(f67,axiom,
( ~ hskp12
| c0_1(a838) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f599,plain,
( spl0_84
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f48,f491,f596]) ).
fof(f48,axiom,
( ~ hskp26
| c0_1(a818) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f594,plain,
( spl0_83
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f74,f486,f591]) ).
fof(f74,axiom,
( ~ hskp7
| c0_1(a828) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f589,plain,
( spl0_82
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f82,f476,f586]) ).
fof(f82,axiom,
( ~ hskp1
| c0_1(a816) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f584,plain,
( spl0_81
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f83,f476,f581]) ).
fof(f83,axiom,
( ~ hskp1
| c3_1(a816) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f579,plain,
( spl0_80
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f78,f461,f576]) ).
fof(f78,axiom,
( ~ hskp5
| c3_1(a825) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f574,plain,
( spl0_79
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f55,f456,f571]) ).
fof(f55,axiom,
( ~ hskp23
| c3_1(a862) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f569,plain,
( ~ spl0_78
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f118,f486,f566]) ).
fof(f118,axiom,
( ~ hskp7
| ~ c2_1(a828) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f564,plain,
( ~ spl0_77
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f115,f481,f561]) ).
fof(f115,axiom,
( ~ hskp8
| ~ c2_1(a830) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f559,plain,
( ~ spl0_76
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f127,f476,f556]) ).
fof(f127,axiom,
( ~ hskp1
| ~ c2_1(a816) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f554,plain,
( ~ spl0_75
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f117,f486,f551]) ).
fof(f117,axiom,
( ~ hskp7
| ~ c1_1(a828) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f549,plain,
( ~ spl0_74
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f89,f456,f546]) ).
fof(f89,axiom,
( ~ hskp23
| ~ c1_1(a862) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f544,plain,
( ~ spl0_73
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f122,f451,f541]) ).
fof(f122,axiom,
( ~ hskp4
| ~ c1_1(a821) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f539,plain,
( ~ spl0_72
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f98,f471,f536]) ).
fof(f98,axiom,
( ~ hskp19
| ~ c1_1(a855) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f534,plain,
( ~ spl0_71
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f120,f461,f531]) ).
fof(f120,axiom,
( ~ hskp5
| ~ c0_1(a825) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f529,plain,
( ~ spl0_70
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f121,f451,f526]) ).
fof(f121,axiom,
( ~ hskp4
| ~ c0_1(a821) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f524,plain,
( ~ spl0_69
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f119,f466,f521]) ).
fof(f119,axiom,
( ~ hskp6
| ~ c0_1(a827) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f519,plain,
( ~ spl0_68
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f114,f481,f516]) ).
fof(f114,axiom,
( ~ hskp8
| ~ c0_1(a830) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f514,plain,
( ~ spl0_67
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f97,f471,f511]) ).
fof(f97,axiom,
( ~ hskp19
| ~ c0_1(a855) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f509,plain,
( ~ spl0_66
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f99,f471,f506]) ).
fof(f99,axiom,
( ~ hskp19
| ~ c3_1(a855) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f504,plain,
( ~ spl0_65
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f109,f446,f501]) ).
fof(f109,axiom,
( ~ hskp12
| ~ c3_1(a838) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f499,plain,
( ~ spl0_64
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f116,f481,f496]) ).
fof(f116,axiom,
( ~ hskp8
| ~ c3_1(a830) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f444,plain,
( spl0_53
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f40,f261,f441]) ).
fof(f40,axiom,
( ~ hskp29
| c2_1(a865) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f429,plain,
( spl0_50
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f53,f251,f426]) ).
fof(f53,axiom,
( ~ hskp24
| c1_1(a878) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f424,plain,
( spl0_49
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f43,f256,f421]) ).
fof(f43,axiom,
( ~ hskp28
| c1_1(a833) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f419,plain,
( spl0_48
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f39,f261,f416]) ).
fof(f39,axiom,
( ~ hskp29
| c1_1(a865) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f404,plain,
( spl0_45
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f85,f266,f401]) ).
fof(f85,axiom,
( ~ hskp0
| c1_1(a815) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f399,plain,
( spl0_44
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f84,f266,f396]) ).
fof(f84,axiom,
( ~ hskp0
| c0_1(a815) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f394,plain,
( spl0_43
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f42,f256,f391]) ).
fof(f42,axiom,
( ~ hskp28
| c0_1(a833) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f384,plain,
( spl0_41
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f41,f261,f381]) ).
fof(f41,axiom,
( ~ hskp29
| c3_1(a865) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f379,plain,
( spl0_40
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f44,f256,f376]) ).
fof(f44,axiom,
( ~ hskp28
| c3_1(a833) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f359,plain,
( ~ spl0_36
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f96,f276,f356]) ).
fof(f96,axiom,
( ~ hskp20
| ~ c2_1(a856) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f349,plain,
( ~ spl0_34
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f92,f246,f346]) ).
fof(f92,axiom,
( ~ hskp22
| ~ c2_1(a860) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f344,plain,
( ~ spl0_33
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f95,f276,f341]) ).
fof(f95,axiom,
( ~ hskp20
| ~ c1_1(a856) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f339,plain,
( ~ spl0_32
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f91,f246,f336]) ).
fof(f91,axiom,
( ~ hskp22
| ~ c1_1(a860) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f329,plain,
( ~ spl0_30
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f90,f246,f326]) ).
fof(f90,axiom,
( ~ hskp22
| ~ c0_1(a860) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f319,plain,
( ~ spl0_28
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f87,f251,f316]) ).
fof(f87,axiom,
( ~ hskp24
| ~ c0_1(a878) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f304,plain,
( ~ spl0_25
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f128,f266,f301]) ).
fof(f128,axiom,
( ~ hskp0
| ~ c3_1(a815) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f299,plain,
( ~ spl0_24
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f88,f251,f296]) ).
fof(f88,axiom,
( ~ hskp24
| ~ c3_1(a878) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f254,plain,
( spl0_1
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f7,f251,f182]) ).
fof(f7,axiom,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f244,plain,
( spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f52,f191,f241]) ).
fof(f52,axiom,
( ~ hskp25
| c2_1(a892) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f234,plain,
( spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f51,f191,f231]) ).
fof(f51,axiom,
( ~ hskp25
| c1_1(a892) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f229,plain,
( spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f56,f196,f226]) ).
fof(f56,axiom,
( ~ hskp21
| c0_1(a857) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f219,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f93,f196,f216]) ).
fof(f93,axiom,
( ~ hskp21
| ~ c2_1(a857) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f209,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f86,f191,f206]) ).
fof(f86,axiom,
( ~ hskp25
| ~ c3_1(a892) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f204,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f94,f196,f201]) ).
fof(f94,axiom,
( ~ hskp21
| ~ c3_1(a857) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/2.85 % Problem : SYN452-1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/2.87 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/3.08 % Computer : n027.cluster.edu
% 0.15/3.08 % Model : x86_64 x86_64
% 0.15/3.08 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/3.08 % Memory : 8042.1875MB
% 0.15/3.08 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/3.08 % CPULimit : 300
% 0.15/3.08 % WCLimit : 300
% 0.15/3.08 % DateTime : Tue Apr 30 02:16:51 EDT 2024
% 0.15/3.08 % CPUTime :
% 0.15/3.08 % (8378)Running in auto input_syntax mode. Trying TPTP
% 0.15/3.10 % (8383)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/3.10 % (8379)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/3.10 % (8384)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/3.10 % (8380)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/3.10 % (8382)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/3.10 % (8381)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/3.10 % (8385)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/3.11 Detected minimum model sizes of [1]
% 0.15/3.11 Detected maximum model sizes of [30]
% 0.15/3.11 TRYING [1]
% 0.15/3.11 Detected minimum model sizes of [1]
% 0.15/3.11 Detected maximum model sizes of [30]
% 0.15/3.11 TRYING [1]
% 0.15/3.11 TRYING [2]
% 0.15/3.11 TRYING [2]
% 0.15/3.11 Detected minimum model sizes of [1]
% 0.15/3.11 Detected maximum model sizes of [30]
% 0.15/3.11 TRYING [1]
% 0.15/3.11 TRYING [3]
% 0.15/3.11 TRYING [2]
% 0.15/3.11 Detected minimum model sizes of [1]
% 0.15/3.11 Detected maximum model sizes of [30]
% 0.15/3.11 TRYING [1]
% 0.15/3.11 TRYING [3]
% 0.15/3.11 TRYING [2]
% 0.15/3.11 TRYING [3]
% 0.15/3.11 TRYING [3]
% 0.15/3.11 TRYING [4]
% 0.15/3.12 TRYING [4]
% 0.15/3.12 TRYING [4]
% 0.15/3.12 TRYING [4]
% 0.15/3.13 TRYING [5]
% 0.15/3.13 TRYING [5]
% 0.15/3.14 TRYING [5]
% 0.15/3.14 TRYING [5]
% 0.15/3.14 % (8384)First to succeed.
% 0.15/3.15 % (8384)Refutation found. Thanks to Tanya!
% 0.15/3.15 % SZS status Unsatisfiable for theBenchmark
% 0.15/3.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/3.16 % (8384)------------------------------
% 0.15/3.16 % (8384)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/3.16 % (8384)Termination reason: Refutation
% 0.15/3.16
% 0.15/3.16 % (8384)Memory used [KB]: 1831
% 0.15/3.16 % (8384)Time elapsed: 0.050 s
% 0.15/3.16 % (8384)Instructions burned: 82 (million)
% 0.15/3.16 % (8384)------------------------------
% 0.15/3.16 % (8384)------------------------------
% 0.15/3.16 % (8378)Success in time 0.071 s
%------------------------------------------------------------------------------