TSTP Solution File: SYN454-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN454-1 : 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 : n017.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 18:03:32 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 260
% Syntax : Number of formulae : 733 ( 1 unt; 0 def)
% Number of atoms : 2445 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2992 (1280 ~;1574 |; 0 &)
% ( 138 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 170 ( 169 usr; 166 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 26 con; 0-0 aty)
% Number of variables : 152 ( 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3245,plain,
$false,
inference(avatar_sat_refutation,[],[f214,f224,f234,f244,f254,f259,f269,f284,f329,f344,f354,f359,f364,f369,f374,f384,f394,f399,f404,f419,f424,f429,f434,f439,f444,f474,f479,f484,f489,f494,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f579,f584,f589,f594,f599,f604,f609,f614,f619,f629,f639,f644,f649,f654,f659,f664,f684,f689,f694,f699,f704,f709,f714,f719,f724,f729,f734,f739,f744,f749,f754,f759,f764,f769,f774,f779,f784,f786,f788,f789,f790,f791,f793,f795,f796,f800,f804,f812,f813,f814,f820,f824,f828,f837,f838,f839,f847,f848,f849,f851,f858,f865,f872,f876,f880,f884,f888,f892,f896,f900,f901,f912,f913,f918,f922,f926,f927,f932,f933,f935,f936,f937,f952,f992,f1002,f1005,f1049,f1084,f1119,f1155,f1167,f1182,f1197,f1218,f1241,f1253,f1258,f1466,f1570,f1619,f1736,f1749,f1819,f1845,f1852,f1863,f1936,f2032,f2057,f2059,f2107,f2133,f2135,f2192,f2200,f2212,f2235,f2262,f2266,f2291,f2315,f2339,f2360,f2362,f2364,f2404,f2428,f2482,f2504,f2528,f2533,f2555,f2635,f2639,f2640,f2709,f2723,f2741,f2838,f2841,f2866,f2913,f2925,f2928,f2977,f3024,f3050,f3108,f3140,f3178,f3185,f3213,f3221,f3243]) ).
fof(f3243,plain,
( ~ spl0_163
| ~ spl0_69
| ~ spl0_127
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f3232,f924,f822,f521,f1740]) ).
fof(f1740,plain,
( spl0_163
<=> c1_1(a133) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f521,plain,
( spl0_69
<=> c3_1(a133) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f822,plain,
( spl0_127
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f924,plain,
( spl0_151
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f3232,plain,
( ~ c1_1(a133)
| ~ spl0_69
| ~ spl0_127
| ~ spl0_151 ),
inference(resolution,[],[f3223,f523]) ).
fof(f523,plain,
( c3_1(a133)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f3223,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_127
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f925,f823]) ).
fof(f823,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f925,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f3221,plain,
( spl0_155
| spl0_62
| ~ spl0_66
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f3207,f853,f506,f486,f1152]) ).
fof(f1152,plain,
( spl0_155
<=> c3_1(a105) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f486,plain,
( spl0_62
<=> c1_1(a105) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f506,plain,
( spl0_66
<=> c0_1(a105) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f853,plain,
( spl0_133
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f3207,plain,
( c1_1(a105)
| c3_1(a105)
| ~ spl0_66
| ~ spl0_133 ),
inference(resolution,[],[f854,f508]) ).
fof(f508,plain,
( c0_1(a105)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f854,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f3213,plain,
( spl0_123
| ~ spl0_125
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f3212,f853,f810,f802]) ).
fof(f802,plain,
( spl0_123
<=> ! [X0] :
( c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f810,plain,
( spl0_125
<=> ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f3212,plain,
( ! [X0] :
( c1_1(X0)
| c3_1(X0)
| c2_1(X0) )
| ~ spl0_125
| ~ spl0_133 ),
inference(duplicate_literal_removal,[],[f3195]) ).
fof(f3195,plain,
( ! [X0] :
( c1_1(X0)
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_125
| ~ spl0_133 ),
inference(resolution,[],[f854,f811]) ).
fof(f811,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f3185,plain,
( spl0_105
| spl0_107
| ~ spl0_143
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f3184]) ).
fof(f3184,plain,
( $false
| spl0_105
| spl0_107
| ~ spl0_143
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f3183,f1186]) ).
fof(f1186,plain,
( c1_1(a104)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1184,plain,
( spl0_157
<=> c1_1(a104) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f3183,plain,
( ~ c1_1(a104)
| spl0_105
| spl0_107
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f3169,f713]) ).
fof(f713,plain,
( ~ c2_1(a104)
| spl0_107 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f711,plain,
( spl0_107
<=> c2_1(a104) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f3169,plain,
( c2_1(a104)
| ~ c1_1(a104)
| spl0_105
| ~ spl0_143 ),
inference(resolution,[],[f891,f703]) ).
fof(f703,plain,
( ~ c3_1(a104)
| spl0_105 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f701,plain,
( spl0_105
<=> c3_1(a104) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f891,plain,
( ! [X1] :
( c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl0_143
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f3178,plain,
( spl0_81
| spl0_85
| ~ spl0_95
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3177,plain,
( $false
| spl0_81
| spl0_85
| ~ spl0_95
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f3176,f653]) ).
fof(f653,plain,
( c1_1(a118)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl0_95
<=> c1_1(a118) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f3176,plain,
( ~ c1_1(a118)
| spl0_81
| spl0_85
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f3162,f603]) ).
fof(f603,plain,
( ~ c2_1(a118)
| spl0_85 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl0_85
<=> c2_1(a118) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f3162,plain,
( c2_1(a118)
| ~ c1_1(a118)
| spl0_81
| ~ spl0_143 ),
inference(resolution,[],[f891,f583]) ).
fof(f583,plain,
( ~ c3_1(a118)
| spl0_81 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl0_81
<=> c3_1(a118) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f3140,plain,
( spl0_112
| spl0_114
| ~ spl0_116
| ~ spl0_134
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f3139]) ).
fof(f3139,plain,
( $false
| spl0_112
| spl0_114
| ~ spl0_116
| ~ spl0_134
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f3138,f3056]) ).
fof(f3056,plain,
( ~ c0_1(a99)
| spl0_114
| ~ spl0_116
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f3055,f748]) ).
fof(f748,plain,
( ~ c1_1(a99)
| spl0_114 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl0_114
<=> c1_1(a99) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f3055,plain,
( c1_1(a99)
| ~ c0_1(a99)
| ~ spl0_116
| ~ spl0_134 ),
inference(resolution,[],[f758,f857]) ).
fof(f857,plain,
( ! [X0] :
( ~ c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl0_134
<=> ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f758,plain,
( c2_1(a99)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f756,plain,
( spl0_116
<=> c2_1(a99) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f3138,plain,
( c0_1(a99)
| spl0_112
| ~ spl0_116
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f3136,f738]) ).
fof(f738,plain,
( ~ c3_1(a99)
| spl0_112 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl0_112
<=> c3_1(a99) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f3136,plain,
( c3_1(a99)
| c0_1(a99)
| ~ spl0_116
| ~ spl0_145 ),
inference(resolution,[],[f899,f758]) ).
fof(f899,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f898,plain,
( spl0_145
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f3108,plain,
( spl0_112
| spl0_114
| ~ spl0_116
| ~ spl0_134
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f3107]) ).
fof(f3107,plain,
( $false
| spl0_112
| spl0_114
| ~ spl0_116
| ~ spl0_134
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f3106,f738]) ).
fof(f3106,plain,
( c3_1(a99)
| spl0_114
| ~ spl0_116
| ~ spl0_134
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f3102,f748]) ).
fof(f3102,plain,
( c1_1(a99)
| c3_1(a99)
| spl0_114
| ~ spl0_116
| ~ spl0_134
| ~ spl0_139 ),
inference(resolution,[],[f3056,f875]) ).
fof(f875,plain,
( ! [X1] :
( c0_1(X1)
| c1_1(X1)
| c3_1(X1) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f874,plain,
( spl0_139
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f3050,plain,
( ~ spl0_67
| ~ spl0_70
| ~ spl0_131
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f3049]) ).
fof(f3049,plain,
( $false
| ~ spl0_67
| ~ spl0_70
| ~ spl0_131
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f3041,f513]) ).
fof(f513,plain,
( c0_1(a112)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl0_67
<=> c0_1(a112) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f3041,plain,
( ~ c0_1(a112)
| ~ spl0_70
| ~ spl0_131
| ~ spl0_137 ),
inference(resolution,[],[f3025,f528]) ).
fof(f528,plain,
( c3_1(a112)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl0_70
<=> c3_1(a112) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f3025,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_131
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f868,f842]) ).
fof(f842,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f841,plain,
( spl0_131
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f868,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl0_137
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f3024,plain,
( spl0_113
| ~ spl0_115
| ~ spl0_126
| spl0_170 ),
inference(avatar_contradiction_clause,[],[f3023]) ).
fof(f3023,plain,
( $false
| spl0_113
| ~ spl0_115
| ~ spl0_126
| spl0_170 ),
inference(subsumption_resolution,[],[f3022,f753]) ).
fof(f753,plain,
( c3_1(a97)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl0_115
<=> c3_1(a97) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f3022,plain,
( ~ c3_1(a97)
| spl0_113
| ~ spl0_126
| spl0_170 ),
inference(subsumption_resolution,[],[f3016,f743]) ).
fof(f743,plain,
( ~ c1_1(a97)
| spl0_113 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f741,plain,
( spl0_113
<=> c1_1(a97) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f3016,plain,
( c1_1(a97)
| ~ c3_1(a97)
| ~ spl0_126
| spl0_170 ),
inference(resolution,[],[f817,f1861]) ).
fof(f1861,plain,
( ~ c0_1(a97)
| spl0_170 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f1859,plain,
( spl0_170
<=> c0_1(a97) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f817,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl0_126
<=> ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f2977,plain,
( ~ spl0_116
| spl0_112
| spl0_114
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2969,f886,f746,f736,f756]) ).
fof(f886,plain,
( spl0_142
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f2969,plain,
( ~ c2_1(a99)
| spl0_112
| spl0_114
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f2965,f748]) ).
fof(f2965,plain,
( c1_1(a99)
| ~ c2_1(a99)
| spl0_112
| ~ spl0_142 ),
inference(resolution,[],[f887,f738]) ).
fof(f887,plain,
( ! [X1] :
( c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f2928,plain,
( spl0_102
| spl0_104
| spl0_106
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f2927]) ).
fof(f2927,plain,
( $false
| spl0_102
| spl0_104
| spl0_106
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f2926,f698]) ).
fof(f698,plain,
( ~ c3_1(a124)
| spl0_104 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl0_104
<=> c3_1(a124) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f2926,plain,
( c3_1(a124)
| spl0_102
| spl0_106
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f2922,f708]) ).
fof(f708,plain,
( ~ c1_1(a124)
| spl0_106 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl0_106
<=> c1_1(a124) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f2922,plain,
( c1_1(a124)
| c3_1(a124)
| spl0_102
| ~ spl0_139 ),
inference(resolution,[],[f875,f688]) ).
fof(f688,plain,
( ~ c0_1(a124)
| spl0_102 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl0_102
<=> c0_1(a124) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f2925,plain,
( spl0_171
| spl0_33
| spl0_38
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2924,f874,f366,f341,f2530]) ).
fof(f2530,plain,
( spl0_171
<=> c3_1(a100) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f341,plain,
( spl0_33
<=> c0_1(a100) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f366,plain,
( spl0_38
<=> c1_1(a100) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2924,plain,
( c3_1(a100)
| spl0_33
| spl0_38
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f2921,f368]) ).
fof(f368,plain,
( ~ c1_1(a100)
| spl0_38 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f2921,plain,
( c1_1(a100)
| c3_1(a100)
| spl0_33
| ~ spl0_139 ),
inference(resolution,[],[f875,f343]) ).
fof(f343,plain,
( ~ c0_1(a100)
| spl0_33 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f2913,plain,
( ~ spl0_170
| spl0_113
| ~ spl0_117
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2912,f856,f761,f741,f1859]) ).
fof(f761,plain,
( spl0_117
<=> c2_1(a97) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2912,plain,
( ~ c0_1(a97)
| spl0_113
| ~ spl0_117
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f2905,f743]) ).
fof(f2905,plain,
( c1_1(a97)
| ~ c0_1(a97)
| ~ spl0_117
| ~ spl0_134 ),
inference(resolution,[],[f857,f763]) ).
fof(f763,plain,
( c2_1(a97)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f2866,plain,
( spl0_60
| spl0_63
| ~ spl0_71
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f2865]) ).
fof(f2865,plain,
( $false
| spl0_60
| spl0_63
| ~ spl0_71
| ~ spl0_126 ),
inference(subsumption_resolution,[],[f2864,f533]) ).
fof(f533,plain,
( c3_1(a149)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl0_71
<=> c3_1(a149) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f2864,plain,
( ~ c3_1(a149)
| spl0_60
| spl0_63
| ~ spl0_126 ),
inference(subsumption_resolution,[],[f2857,f493]) ).
fof(f493,plain,
( ~ c1_1(a149)
| spl0_63 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl0_63
<=> c1_1(a149) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2857,plain,
( c1_1(a149)
| ~ c3_1(a149)
| spl0_60
| ~ spl0_126 ),
inference(resolution,[],[f817,f478]) ).
fof(f478,plain,
( ~ c0_1(a149)
| spl0_60 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl0_60
<=> c0_1(a149) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2841,plain,
( spl0_36
| ~ spl0_51
| ~ spl0_124
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f2840]) ).
fof(f2840,plain,
( $false
| spl0_36
| ~ spl0_51
| ~ spl0_124
| ~ spl0_161 ),
inference(subsumption_resolution,[],[f2839,f1339]) ).
fof(f1339,plain,
( c1_1(a127)
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1337,plain,
( spl0_161
<=> c1_1(a127) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f2839,plain,
( ~ c1_1(a127)
| spl0_36
| ~ spl0_51
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f2816,f358]) ).
fof(f358,plain,
( ~ c3_1(a127)
| spl0_36 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl0_36
<=> c3_1(a127) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2816,plain,
( c3_1(a127)
| ~ c1_1(a127)
| ~ spl0_51
| ~ spl0_124 ),
inference(resolution,[],[f807,f433]) ).
fof(f433,plain,
( c2_1(a127)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl0_51
<=> c2_1(a127) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f807,plain,
( ! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f806,plain,
( spl0_124
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f2838,plain,
( ~ spl0_94
| ~ spl0_97
| ~ spl0_124
| spl0_165 ),
inference(avatar_contradiction_clause,[],[f2837]) ).
fof(f2837,plain,
( $false
| ~ spl0_94
| ~ spl0_97
| ~ spl0_124
| spl0_165 ),
inference(subsumption_resolution,[],[f2836,f648]) ).
fof(f648,plain,
( c1_1(a94)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f646,plain,
( spl0_94
<=> c1_1(a94) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f2836,plain,
( ~ c1_1(a94)
| ~ spl0_97
| ~ spl0_124
| spl0_165 ),
inference(subsumption_resolution,[],[f2814,f1781]) ).
fof(f1781,plain,
( ~ c3_1(a94)
| spl0_165 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f1780,plain,
( spl0_165
<=> c3_1(a94) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f2814,plain,
( c3_1(a94)
| ~ c1_1(a94)
| ~ spl0_97
| ~ spl0_124 ),
inference(resolution,[],[f807,f663]) ).
fof(f663,plain,
( c2_1(a94)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f661,plain,
( spl0_97
<=> c2_1(a94) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f2741,plain,
( spl0_103
| spl0_107
| ~ spl0_135
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f2740]) ).
fof(f2740,plain,
( $false
| spl0_103
| spl0_107
| ~ spl0_135
| ~ spl0_157 ),
inference(subsumption_resolution,[],[f2739,f1186]) ).
fof(f2739,plain,
( ~ c1_1(a104)
| spl0_103
| spl0_107
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f2721,f713]) ).
fof(f2721,plain,
( c2_1(a104)
| ~ c1_1(a104)
| spl0_103
| ~ spl0_135 ),
inference(resolution,[],[f861,f693]) ).
fof(f693,plain,
( ~ c0_1(a104)
| spl0_103 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl0_103
<=> c0_1(a104) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f861,plain,
( ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl0_135
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f2723,plain,
( spl0_151
| ~ spl0_135
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2722,f906,f860,f924]) ).
fof(f906,plain,
( spl0_147
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f2722,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_135
| ~ spl0_147 ),
inference(duplicate_literal_removal,[],[f2710]) ).
fof(f2710,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_135
| ~ spl0_147 ),
inference(resolution,[],[f861,f907]) ).
fof(f907,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f2709,plain,
( ~ spl0_45
| ~ spl0_49
| ~ spl0_127
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f2708]) ).
fof(f2708,plain,
( $false
| ~ spl0_45
| ~ spl0_49
| ~ spl0_127
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f2701,f423]) ).
fof(f423,plain,
( c1_1(a116)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl0_49
<=> c1_1(a116) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2701,plain,
( ~ c1_1(a116)
| ~ spl0_45
| ~ spl0_127
| ~ spl0_151 ),
inference(resolution,[],[f2693,f403]) ).
fof(f403,plain,
( c3_1(a116)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl0_45
<=> c3_1(a116) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f2693,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_127
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f925,f823]) ).
fof(f2640,plain,
( spl0_163
| spl0_65
| ~ spl0_68
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2608,f870,f516,f501,f1740]) ).
fof(f501,plain,
( spl0_65
<=> c2_1(a133) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f516,plain,
( spl0_68
<=> c0_1(a133) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f870,plain,
( spl0_138
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f2608,plain,
( c2_1(a133)
| c1_1(a133)
| ~ spl0_68
| ~ spl0_138 ),
inference(resolution,[],[f871,f518]) ).
fof(f518,plain,
( c0_1(a133)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f871,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f2639,plain,
( ~ spl0_69
| ~ spl0_163
| ~ spl0_68
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2623,f906,f516,f1740,f521]) ).
fof(f2623,plain,
( ~ c1_1(a133)
| ~ c3_1(a133)
| ~ spl0_68
| ~ spl0_147 ),
inference(resolution,[],[f907,f518]) ).
fof(f2635,plain,
( spl0_127
| ~ spl0_136
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2633,f906,f863,f822]) ).
fof(f863,plain,
( spl0_136
<=> ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f2633,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_136
| ~ spl0_147 ),
inference(duplicate_literal_removal,[],[f2619]) ).
fof(f2619,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_136
| ~ spl0_147 ),
inference(resolution,[],[f907,f864]) ).
fof(f864,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f2555,plain,
( spl0_59
| ~ spl0_72
| ~ spl0_136
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f2554]) ).
fof(f2554,plain,
( $false
| spl0_59
| ~ spl0_72
| ~ spl0_136
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f2546,f538]) ).
fof(f538,plain,
( c2_1(a109)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl0_72
<=> c2_1(a109) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f2546,plain,
( ~ c2_1(a109)
| spl0_59
| ~ spl0_136
| ~ spl0_145 ),
inference(resolution,[],[f2534,f473]) ).
fof(f473,plain,
( ~ c0_1(a109)
| spl0_59 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl0_59
<=> c0_1(a109) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2534,plain,
( ! [X1] :
( c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_136
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f899,f864]) ).
fof(f2533,plain,
( ~ spl0_52
| ~ spl0_171
| spl0_33
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2416,f863,f341,f2530,f436]) ).
fof(f436,plain,
( spl0_52
<=> c2_1(a100) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f2416,plain,
( ~ c3_1(a100)
| ~ c2_1(a100)
| spl0_33
| ~ spl0_136 ),
inference(resolution,[],[f864,f343]) ).
fof(f2528,plain,
( spl0_84
| ~ spl0_90
| ~ spl0_92
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f2527]) ).
fof(f2527,plain,
( $false
| spl0_84
| ~ spl0_90
| ~ spl0_92
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f2526,f638]) ).
fof(f638,plain,
( c1_1(a106)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl0_92
<=> c1_1(a106) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f2526,plain,
( ~ c1_1(a106)
| spl0_84
| ~ spl0_90
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f2519,f598]) ).
fof(f598,plain,
( ~ c2_1(a106)
| spl0_84 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f596,plain,
( spl0_84
<=> c2_1(a106) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2519,plain,
( c2_1(a106)
| ~ c1_1(a106)
| ~ spl0_90
| ~ spl0_151 ),
inference(resolution,[],[f925,f628]) ).
fof(f628,plain,
( c3_1(a106)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl0_90
<=> c3_1(a106) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f2504,plain,
( spl0_151
| ~ spl0_132
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2502,f910,f845,f924]) ).
fof(f845,plain,
( spl0_132
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f910,plain,
( spl0_148
<=> ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f2502,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| c2_1(X0) )
| ~ spl0_132
| ~ spl0_148 ),
inference(duplicate_literal_removal,[],[f2489]) ).
fof(f2489,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_132
| ~ spl0_148 ),
inference(resolution,[],[f911,f846]) ).
fof(f846,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f911,plain,
( ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f2482,plain,
( spl0_59
| spl0_61
| ~ spl0_72
| ~ spl0_123
| ~ spl0_129
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f2481]) ).
fof(f2481,plain,
( $false
| spl0_59
| spl0_61
| ~ spl0_72
| ~ spl0_123
| ~ spl0_129
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f2472,f1700]) ).
fof(f1700,plain,
( ~ c1_1(a109)
| spl0_59
| ~ spl0_72
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f1634,f538]) ).
fof(f1634,plain,
( ~ c1_1(a109)
| ~ c2_1(a109)
| spl0_59
| ~ spl0_129 ),
inference(resolution,[],[f831,f473]) ).
fof(f831,plain,
( ! [X0] :
( c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f830,plain,
( spl0_129
<=> ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2472,plain,
( c1_1(a109)
| spl0_61
| ~ spl0_123
| ~ spl0_142 ),
inference(resolution,[],[f2463,f483]) ).
fof(f483,plain,
( ~ c3_1(a109)
| spl0_61 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl0_61
<=> c3_1(a109) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2463,plain,
( ! [X1] :
( c3_1(X1)
| c1_1(X1) )
| ~ spl0_123
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f887,f803]) ).
fof(f803,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f2428,plain,
( ~ spl0_108
| spl0_101
| ~ spl0_109
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2427,f863,f721,f681,f716]) ).
fof(f716,plain,
( spl0_108
<=> c3_1(a110) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f681,plain,
( spl0_101
<=> c0_1(a110) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f721,plain,
( spl0_109
<=> c2_1(a110) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f2427,plain,
( ~ c3_1(a110)
| spl0_101
| ~ spl0_109
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f2414,f723]) ).
fof(f723,plain,
( c2_1(a110)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f2414,plain,
( ~ c3_1(a110)
| ~ c2_1(a110)
| spl0_101
| ~ spl0_136 ),
inference(resolution,[],[f864,f683]) ).
fof(f683,plain,
( ~ c0_1(a110)
| spl0_101 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f2404,plain,
( ~ spl0_44
| ~ spl0_50
| ~ spl0_53
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2403,plain,
( $false
| ~ spl0_44
| ~ spl0_50
| ~ spl0_53
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f2402,f428]) ).
fof(f428,plain,
( c1_1(a165)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl0_50
<=> c1_1(a165) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2402,plain,
( ~ c1_1(a165)
| ~ spl0_44
| ~ spl0_53
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f2386,f443]) ).
fof(f443,plain,
( c2_1(a165)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl0_53
<=> c2_1(a165) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f2386,plain,
( ~ c2_1(a165)
| ~ c1_1(a165)
| ~ spl0_44
| ~ spl0_127 ),
inference(resolution,[],[f823,f398]) ).
fof(f398,plain,
( c3_1(a165)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl0_44
<=> c3_1(a165) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f2364,plain,
( spl0_119
| ~ spl0_121
| ~ spl0_133
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f2363]) ).
fof(f2363,plain,
( $false
| spl0_119
| ~ spl0_121
| ~ spl0_133
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f2348,f773]) ).
fof(f773,plain,
( ~ c3_1(a115)
| spl0_119 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f771,plain,
( spl0_119
<=> c3_1(a115) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2348,plain,
( c3_1(a115)
| ~ spl0_121
| ~ spl0_133
| ~ spl0_141 ),
inference(resolution,[],[f2326,f783]) ).
fof(f783,plain,
( c0_1(a115)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f781,plain,
( spl0_121
<=> c0_1(a115) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f2326,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0) )
| ~ spl0_133
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f883,f854]) ).
fof(f883,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f882,plain,
( spl0_141
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f2362,plain,
( spl0_80
| ~ spl0_87
| ~ spl0_133
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f2361]) ).
fof(f2361,plain,
( $false
| spl0_80
| ~ spl0_87
| ~ spl0_133
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f2347,f578]) ).
fof(f578,plain,
( ~ c3_1(a125)
| spl0_80 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl0_80
<=> c3_1(a125) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f2347,plain,
( c3_1(a125)
| ~ spl0_87
| ~ spl0_133
| ~ spl0_141 ),
inference(resolution,[],[f2326,f613]) ).
fof(f613,plain,
( c0_1(a125)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl0_87
<=> c0_1(a125) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f2360,plain,
( spl0_36
| ~ spl0_43
| ~ spl0_133
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2359,plain,
( $false
| spl0_36
| ~ spl0_43
| ~ spl0_133
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f2346,f358]) ).
fof(f2346,plain,
( c3_1(a127)
| ~ spl0_43
| ~ spl0_133
| ~ spl0_141 ),
inference(resolution,[],[f2326,f393]) ).
fof(f393,plain,
( c0_1(a127)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl0_43
<=> c0_1(a127) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f2339,plain,
( spl0_83
| spl0_86
| ~ spl0_125
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2338,plain,
( $false
| spl0_83
| spl0_86
| ~ spl0_125
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f2335,f593]) ).
fof(f593,plain,
( ~ c1_1(a101)
| spl0_83 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl0_83
<=> c1_1(a101) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f2335,plain,
( c1_1(a101)
| spl0_86
| ~ spl0_125
| ~ spl0_138 ),
inference(resolution,[],[f2292,f608]) ).
fof(f608,plain,
( ~ c2_1(a101)
| spl0_86 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl0_86
<=> c2_1(a101) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f2292,plain,
( ! [X1] :
( c2_1(X1)
| c1_1(X1) )
| ~ spl0_125
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f871,f811]) ).
fof(f2315,plain,
( ~ spl0_88
| ~ spl0_94
| ~ spl0_141
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f2314]) ).
fof(f2314,plain,
( $false
| ~ spl0_88
| ~ spl0_94
| ~ spl0_141
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f2302,f648]) ).
fof(f2302,plain,
( ~ c1_1(a94)
| ~ spl0_88
| ~ spl0_141
| ~ spl0_147 ),
inference(resolution,[],[f2268,f618]) ).
fof(f618,plain,
( c0_1(a94)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f616,plain,
( spl0_88
<=> c0_1(a94) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f2268,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_141
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f883,f907]) ).
fof(f2291,plain,
( spl0_105
| spl0_107
| ~ spl0_123
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2290]) ).
fof(f2290,plain,
( $false
| spl0_105
| spl0_107
| ~ spl0_123
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2289,f713]) ).
fof(f2289,plain,
( c2_1(a104)
| spl0_105
| ~ spl0_123
| ~ spl0_143 ),
inference(resolution,[],[f2267,f703]) ).
fof(f2267,plain,
( ! [X1] :
( c3_1(X1)
| c2_1(X1) )
| ~ spl0_123
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f891,f803]) ).
fof(f2266,plain,
( spl0_30
| spl0_37
| ~ spl0_48
| ~ spl0_128
| ~ spl0_129
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f2265]) ).
fof(f2265,plain,
( $false
| spl0_30
| spl0_37
| ~ spl0_48
| ~ spl0_128
| ~ spl0_129
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f2259,f2039]) ).
fof(f2039,plain,
( ~ c2_1(a98)
| spl0_30
| ~ spl0_48
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f2038,f418]) ).
fof(f418,plain,
( c1_1(a98)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl0_48
<=> c1_1(a98) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f2038,plain,
( ~ c1_1(a98)
| ~ c2_1(a98)
| spl0_30
| ~ spl0_129 ),
inference(resolution,[],[f328,f831]) ).
fof(f328,plain,
( ~ c0_1(a98)
| spl0_30 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl0_30
<=> c0_1(a98) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f2259,plain,
( c2_1(a98)
| spl0_37
| ~ spl0_128
| ~ spl0_144 ),
inference(resolution,[],[f2242,f363]) ).
fof(f363,plain,
( ~ c3_1(a98)
| spl0_37 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl0_37
<=> c3_1(a98) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f2242,plain,
( ! [X1] :
( c3_1(X1)
| c2_1(X1) )
| ~ spl0_128
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f895,f827]) ).
fof(f827,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl0_128
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f895,plain,
( ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c3_1(X1) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f894,plain,
( spl0_144
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f2262,plain,
( spl0_81
| spl0_85
| ~ spl0_128
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f2261]) ).
fof(f2261,plain,
( $false
| spl0_81
| spl0_85
| ~ spl0_128
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f2252,f603]) ).
fof(f2252,plain,
( c2_1(a118)
| spl0_81
| ~ spl0_128
| ~ spl0_144 ),
inference(resolution,[],[f2242,f583]) ).
fof(f2235,plain,
( spl0_30
| spl0_37
| ~ spl0_48
| ~ spl0_123
| ~ spl0_129
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f2234]) ).
fof(f2234,plain,
( $false
| spl0_30
| spl0_37
| ~ spl0_48
| ~ spl0_123
| ~ spl0_129
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f2230,f2039]) ).
fof(f2230,plain,
( c2_1(a98)
| spl0_37
| ~ spl0_123
| ~ spl0_143 ),
inference(resolution,[],[f2213,f363]) ).
fof(f2213,plain,
( ! [X1] :
( c3_1(X1)
| c2_1(X1) )
| ~ spl0_123
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f891,f803]) ).
fof(f2212,plain,
( spl0_127
| ~ spl0_129
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2105,f906,f830,f822]) ).
fof(f2105,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_129
| ~ spl0_147 ),
inference(duplicate_literal_removal,[],[f2091]) ).
fof(f2091,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_129
| ~ spl0_147 ),
inference(resolution,[],[f907,f831]) ).
fof(f2200,plain,
( spl0_83
| spl0_86
| ~ spl0_123
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f2199]) ).
fof(f2199,plain,
( $false
| spl0_83
| spl0_86
| ~ spl0_123
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f2183,f593]) ).
fof(f2183,plain,
( c1_1(a101)
| spl0_86
| ~ spl0_123
| ~ spl0_150 ),
inference(resolution,[],[f2169,f608]) ).
fof(f2169,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0) )
| ~ spl0_123
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f921,f803]) ).
fof(f921,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f920,plain,
( spl0_150
<=> ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f2192,plain,
( spl0_63
| ~ spl0_123
| ~ spl0_150
| spl0_156 ),
inference(avatar_contradiction_clause,[],[f2191]) ).
fof(f2191,plain,
( $false
| spl0_63
| ~ spl0_123
| ~ spl0_150
| spl0_156 ),
inference(subsumption_resolution,[],[f2175,f493]) ).
fof(f2175,plain,
( c1_1(a149)
| ~ spl0_123
| ~ spl0_150
| spl0_156 ),
inference(resolution,[],[f2169,f1165]) ).
fof(f1165,plain,
( ~ c2_1(a149)
| spl0_156 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1164,plain,
( spl0_156
<=> c2_1(a149) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f2135,plain,
( ~ spl0_90
| ~ spl0_92
| ~ spl0_147
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f2134]) ).
fof(f2134,plain,
( $false
| ~ spl0_90
| ~ spl0_92
| ~ spl0_147
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f2120,f638]) ).
fof(f2120,plain,
( ~ c1_1(a106)
| ~ spl0_90
| ~ spl0_147
| ~ spl0_148 ),
inference(resolution,[],[f2109,f628]) ).
fof(f2109,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1) )
| ~ spl0_147
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f911,f907]) ).
fof(f2133,plain,
( ~ spl0_45
| ~ spl0_49
| ~ spl0_147
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f2132]) ).
fof(f2132,plain,
( $false
| ~ spl0_45
| ~ spl0_49
| ~ spl0_147
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f2118,f423]) ).
fof(f2118,plain,
( ~ c1_1(a116)
| ~ spl0_45
| ~ spl0_147
| ~ spl0_148 ),
inference(resolution,[],[f2109,f403]) ).
fof(f2107,plain,
( ~ spl0_165
| ~ spl0_88
| ~ spl0_94
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2106,f906,f646,f616,f1780]) ).
fof(f2106,plain,
( ~ c3_1(a94)
| ~ spl0_88
| ~ spl0_94
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f2094,f648]) ).
fof(f2094,plain,
( ~ c1_1(a94)
| ~ c3_1(a94)
| ~ spl0_88
| ~ spl0_147 ),
inference(resolution,[],[f907,f618]) ).
fof(f2059,plain,
( spl0_59
| ~ spl0_72
| ~ spl0_122
| ~ spl0_127
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f2058]) ).
fof(f2058,plain,
( $false
| spl0_59
| ~ spl0_72
| ~ spl0_122
| ~ spl0_127
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f2051,f538]) ).
fof(f2051,plain,
( ~ c2_1(a109)
| spl0_59
| ~ spl0_122
| ~ spl0_127
| ~ spl0_145 ),
inference(resolution,[],[f2040,f473]) ).
fof(f2040,plain,
( ! [X1] :
( c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_122
| ~ spl0_127
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f899,f1971]) ).
fof(f1971,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_122
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f823,f799]) ).
fof(f799,plain,
( ! [X0] :
( ~ c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl0_122
<=> ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2057,plain,
( spl0_101
| ~ spl0_109
| ~ spl0_122
| ~ spl0_127
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f2056]) ).
fof(f2056,plain,
( $false
| spl0_101
| ~ spl0_109
| ~ spl0_122
| ~ spl0_127
| ~ spl0_145 ),
inference(subsumption_resolution,[],[f2050,f723]) ).
fof(f2050,plain,
( ~ c2_1(a110)
| spl0_101
| ~ spl0_122
| ~ spl0_127
| ~ spl0_145 ),
inference(resolution,[],[f2040,f683]) ).
fof(f2032,plain,
( spl0_154
| spl0_119
| ~ spl0_121
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2031,f853,f781,f771,f1081]) ).
fof(f1081,plain,
( spl0_154
<=> c1_1(a115) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f2031,plain,
( c1_1(a115)
| spl0_119
| ~ spl0_121
| ~ spl0_133 ),
inference(subsumption_resolution,[],[f2023,f773]) ).
fof(f2023,plain,
( c1_1(a115)
| c3_1(a115)
| ~ spl0_121
| ~ spl0_133 ),
inference(resolution,[],[f854,f783]) ).
fof(f1936,plain,
( spl0_11
| ~ spl0_16
| ~ spl0_132
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f1935]) ).
fof(f1935,plain,
( $false
| spl0_11
| ~ spl0_16
| ~ spl0_132
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f1923,f233]) ).
fof(f233,plain,
( ~ c2_1(a159)
| spl0_11 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl0_11
<=> c2_1(a159) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1923,plain,
( c2_1(a159)
| ~ spl0_16
| ~ spl0_132
| ~ spl0_138 ),
inference(resolution,[],[f1898,f258]) ).
fof(f258,plain,
( c0_1(a159)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl0_16
<=> c0_1(a159) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1898,plain,
( ! [X1] :
( ~ c0_1(X1)
| c2_1(X1) )
| ~ spl0_132
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f871,f846]) ).
fof(f1863,plain,
( ~ spl0_154
| spl0_120
| ~ spl0_121
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1510,f845,f781,f776,f1081]) ).
fof(f776,plain,
( spl0_120
<=> c2_1(a115) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1510,plain,
( c2_1(a115)
| ~ c1_1(a115)
| ~ spl0_121
| ~ spl0_132 ),
inference(resolution,[],[f783,f846]) ).
fof(f1852,plain,
( spl0_64
| ~ spl0_67
| ~ spl0_70
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1851,f835,f526,f511,f496]) ).
fof(f496,plain,
( spl0_64
<=> c1_1(a112) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f835,plain,
( spl0_130
<=> ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1851,plain,
( c1_1(a112)
| ~ spl0_67
| ~ spl0_70
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f1831,f528]) ).
fof(f1831,plain,
( c1_1(a112)
| ~ c3_1(a112)
| ~ spl0_67
| ~ spl0_130 ),
inference(resolution,[],[f836,f513]) ).
fof(f836,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f1845,plain,
( spl0_30
| spl0_37
| ~ spl0_48
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1653,f878,f416,f361,f326]) ).
fof(f878,plain,
( spl0_140
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1653,plain,
( c3_1(a98)
| c0_1(a98)
| ~ spl0_48
| ~ spl0_140 ),
inference(resolution,[],[f879,f418]) ).
fof(f879,plain,
( ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f1819,plain,
( spl0_119
| spl0_120
| ~ spl0_121
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f1818]) ).
fof(f1818,plain,
( $false
| spl0_119
| spl0_120
| ~ spl0_121
| ~ spl0_128 ),
inference(subsumption_resolution,[],[f1817,f773]) ).
fof(f1817,plain,
( c3_1(a115)
| spl0_120
| ~ spl0_121
| ~ spl0_128 ),
inference(subsumption_resolution,[],[f1813,f778]) ).
fof(f778,plain,
( ~ c2_1(a115)
| spl0_120 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f1813,plain,
( c2_1(a115)
| c3_1(a115)
| ~ spl0_121
| ~ spl0_128 ),
inference(resolution,[],[f827,f783]) ).
fof(f1749,plain,
( spl0_161
| ~ spl0_43
| ~ spl0_51
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1748,f856,f431,f391,f1337]) ).
fof(f1748,plain,
( c1_1(a127)
| ~ spl0_43
| ~ spl0_51
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f1744,f393]) ).
fof(f1744,plain,
( c1_1(a127)
| ~ c0_1(a127)
| ~ spl0_51
| ~ spl0_134 ),
inference(resolution,[],[f433,f857]) ).
fof(f1736,plain,
( spl0_64
| ~ spl0_67
| ~ spl0_134
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f1735]) ).
fof(f1735,plain,
( $false
| spl0_64
| ~ spl0_67
| ~ spl0_134
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f1726,f498]) ).
fof(f498,plain,
( ~ c1_1(a112)
| spl0_64 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f1726,plain,
( c1_1(a112)
| ~ spl0_67
| ~ spl0_134
| ~ spl0_138 ),
inference(resolution,[],[f1712,f513]) ).
fof(f1712,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1) )
| ~ spl0_134
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f871,f857]) ).
fof(f1619,plain,
( spl0_65
| ~ spl0_68
| ~ spl0_69
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f1618]) ).
fof(f1618,plain,
( $false
| spl0_65
| ~ spl0_68
| ~ spl0_69
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f1617,f523]) ).
fof(f1617,plain,
( ~ c3_1(a133)
| spl0_65
| ~ spl0_68
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f1612,f503]) ).
fof(f503,plain,
( ~ c2_1(a133)
| spl0_65 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f1612,plain,
( c2_1(a133)
| ~ c3_1(a133)
| ~ spl0_68
| ~ spl0_137 ),
inference(resolution,[],[f868,f518]) ).
fof(f1570,plain,
( spl0_157
| spl0_103
| spl0_107
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1569,f810,f711,f691,f1184]) ).
fof(f1569,plain,
( c1_1(a104)
| spl0_103
| spl0_107
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f1308,f713]) ).
fof(f1308,plain,
( c2_1(a104)
| c1_1(a104)
| spl0_103
| ~ spl0_125 ),
inference(resolution,[],[f811,f693]) ).
fof(f1466,plain,
( ~ spl0_155
| spl0_62
| ~ spl0_73
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1463,f798,f541,f486,f1152]) ).
fof(f541,plain,
( spl0_73
<=> c2_1(a105) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1463,plain,
( ~ c3_1(a105)
| spl0_62
| ~ spl0_73
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f1460,f488]) ).
fof(f488,plain,
( ~ c1_1(a105)
| spl0_62 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f1460,plain,
( c1_1(a105)
| ~ c3_1(a105)
| ~ spl0_73
| ~ spl0_122 ),
inference(resolution,[],[f543,f799]) ).
fof(f543,plain,
( c2_1(a105)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f1258,plain,
( spl0_157
| spl0_105
| ~ spl0_123
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1250,f886,f802,f701,f1184]) ).
fof(f1250,plain,
( c1_1(a104)
| spl0_105
| ~ spl0_123
| ~ spl0_142 ),
inference(resolution,[],[f1188,f703]) ).
fof(f1188,plain,
( ! [X1] :
( c3_1(X1)
| c1_1(X1) )
| ~ spl0_123
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f887,f803]) ).
fof(f1253,plain,
( spl0_112
| spl0_114
| ~ spl0_123
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1252,plain,
( $false
| spl0_112
| spl0_114
| ~ spl0_123
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f1246,f748]) ).
fof(f1246,plain,
( c1_1(a99)
| spl0_112
| ~ spl0_123
| ~ spl0_142 ),
inference(resolution,[],[f1188,f738]) ).
fof(f1241,plain,
( spl0_63
| ~ spl0_71
| ~ spl0_122
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1240,f1164,f798,f531,f491]) ).
fof(f1240,plain,
( c1_1(a149)
| ~ spl0_71
| ~ spl0_122
| ~ spl0_156 ),
inference(subsumption_resolution,[],[f1236,f533]) ).
fof(f1236,plain,
( c1_1(a149)
| ~ c3_1(a149)
| ~ spl0_122
| ~ spl0_156 ),
inference(resolution,[],[f1166,f799]) ).
fof(f1166,plain,
( c2_1(a149)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1218,plain,
( ~ spl0_115
| spl0_113
| ~ spl0_117
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1099,f798,f761,f741,f751]) ).
fof(f1099,plain,
( c1_1(a97)
| ~ c3_1(a97)
| ~ spl0_117
| ~ spl0_122 ),
inference(resolution,[],[f799,f763]) ).
fof(f1197,plain,
( ~ spl0_18
| ~ spl0_21
| ~ spl0_15
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1193,f841,f251,f281,f266]) ).
fof(f266,plain,
( spl0_18
<=> c3_1(a95) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f281,plain,
( spl0_21
<=> c2_1(a95) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f251,plain,
( spl0_15
<=> c0_1(a95) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1193,plain,
( ~ c2_1(a95)
| ~ c3_1(a95)
| ~ spl0_15
| ~ spl0_131 ),
inference(resolution,[],[f253,f842]) ).
fof(f253,plain,
( c0_1(a95)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f1182,plain,
( ~ spl0_115
| ~ spl0_117
| ~ spl0_131
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
fof(f1181,plain,
( $false
| ~ spl0_115
| ~ spl0_117
| ~ spl0_131
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f1174,f753]) ).
fof(f1174,plain,
( ~ c3_1(a97)
| ~ spl0_117
| ~ spl0_131
| ~ spl0_136 ),
inference(resolution,[],[f1168,f763]) ).
fof(f1168,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_131
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f864,f842]) ).
fof(f1167,plain,
( spl0_63
| spl0_156
| spl0_60
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1162,f810,f476,f1164,f491]) ).
fof(f1162,plain,
( c2_1(a149)
| c1_1(a149)
| spl0_60
| ~ spl0_125 ),
inference(resolution,[],[f478,f811]) ).
fof(f1155,plain,
( ~ spl0_155
| ~ spl0_73
| ~ spl0_66
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1136,f841,f506,f541,f1152]) ).
fof(f1136,plain,
( ~ c2_1(a105)
| ~ c3_1(a105)
| ~ spl0_66
| ~ spl0_131 ),
inference(resolution,[],[f842,f508]) ).
fof(f1119,plain,
( spl0_82
| ~ spl0_93
| ~ spl0_96
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1118,f806,f656,f641,f586]) ).
fof(f586,plain,
( spl0_82
<=> c3_1(a102) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f641,plain,
( spl0_93
<=> c1_1(a102) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f656,plain,
( spl0_96
<=> c2_1(a102) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1118,plain,
( c3_1(a102)
| ~ spl0_93
| ~ spl0_96
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f1108,f643]) ).
fof(f643,plain,
( c1_1(a102)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f1108,plain,
( c3_1(a102)
| ~ c1_1(a102)
| ~ spl0_96
| ~ spl0_124 ),
inference(resolution,[],[f807,f658]) ).
fof(f658,plain,
( c2_1(a102)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f1084,plain,
( spl0_154
| spl0_120
| spl0_119
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1079,f802,f771,f776,f1081]) ).
fof(f1079,plain,
( c2_1(a115)
| c1_1(a115)
| spl0_119
| ~ spl0_123 ),
inference(resolution,[],[f773,f803]) ).
fof(f1049,plain,
( spl0_84
| ~ spl0_92
| ~ spl0_132
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1048,plain,
( $false
| spl0_84
| ~ spl0_92
| ~ spl0_132
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f1043,f638]) ).
fof(f1043,plain,
( ~ c1_1(a106)
| spl0_84
| ~ spl0_132
| ~ spl0_135 ),
inference(resolution,[],[f1038,f598]) ).
fof(f1038,plain,
( ! [X1] :
( c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_132
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f861,f846]) ).
fof(f1005,plain,
( spl0_7
| spl0_9
| ~ spl0_13
| ~ spl0_123
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| spl0_7
| spl0_9
| ~ spl0_13
| ~ spl0_123
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f1003,f243]) ).
fof(f243,plain,
( c0_1(a103)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_13
<=> c0_1(a103) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1003,plain,
( ~ c0_1(a103)
| spl0_7
| spl0_9
| ~ spl0_123
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f996,f223]) ).
fof(f223,plain,
( ~ c1_1(a103)
| spl0_9 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl0_9
<=> c1_1(a103) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f996,plain,
( c1_1(a103)
| ~ c0_1(a103)
| spl0_7
| spl0_9
| ~ spl0_123
| ~ spl0_134 ),
inference(resolution,[],[f857,f946]) ).
fof(f946,plain,
( c2_1(a103)
| spl0_7
| spl0_9
| ~ spl0_123 ),
inference(subsumption_resolution,[],[f941,f223]) ).
fof(f941,plain,
( c2_1(a103)
| c1_1(a103)
| spl0_7
| ~ spl0_123 ),
inference(resolution,[],[f803,f213]) ).
fof(f213,plain,
( ~ c3_1(a103)
| spl0_7 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl0_7
<=> c3_1(a103) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1002,plain,
( spl0_62
| ~ spl0_66
| ~ spl0_73
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1001,plain,
( $false
| spl0_62
| ~ spl0_66
| ~ spl0_73
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f1000,f508]) ).
fof(f1000,plain,
( ~ c0_1(a105)
| spl0_62
| ~ spl0_73
| ~ spl0_134 ),
inference(subsumption_resolution,[],[f995,f488]) ).
fof(f995,plain,
( c1_1(a105)
| ~ c0_1(a105)
| ~ spl0_73
| ~ spl0_134 ),
inference(resolution,[],[f857,f543]) ).
fof(f992,plain,
( spl0_7
| spl0_9
| ~ spl0_13
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f991,plain,
( $false
| spl0_7
| spl0_9
| ~ spl0_13
| ~ spl0_133 ),
inference(subsumption_resolution,[],[f990,f213]) ).
fof(f990,plain,
( c3_1(a103)
| spl0_9
| ~ spl0_13
| ~ spl0_133 ),
inference(subsumption_resolution,[],[f987,f223]) ).
fof(f987,plain,
( c1_1(a103)
| c3_1(a103)
| ~ spl0_13
| ~ spl0_133 ),
inference(resolution,[],[f854,f243]) ).
fof(f952,plain,
( spl0_41
| spl0_35
| spl0_39
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f951,f802,f371,f351,f381]) ).
fof(f381,plain,
( spl0_41
<=> c2_1(a96) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f351,plain,
( spl0_35
<=> c3_1(a96) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f371,plain,
( spl0_39
<=> c1_1(a96) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f951,plain,
( c2_1(a96)
| spl0_35
| spl0_39
| ~ spl0_123 ),
inference(subsumption_resolution,[],[f945,f373]) ).
fof(f373,plain,
( ~ c1_1(a96)
| spl0_39 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f945,plain,
( c2_1(a96)
| c1_1(a96)
| spl0_35
| ~ spl0_123 ),
inference(resolution,[],[f803,f353]) ).
fof(f353,plain,
( ~ c3_1(a96)
| spl0_35 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f937,plain,
( spl0_123
| spl0_145
| spl0_143
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f172,f182,f890,f898,f802]) ).
fof(f182,plain,
( spl0_1
<=> ndr1_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f172,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X1)
| c0_1(X1)
| c3_1(X2)
| c3_1(X0)
| c3_1(X1)
| c1_1(X2)
| c2_1(X0)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f936,plain,
( spl0_125
| spl0_142
| spl0_148
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f173,f182,f910,f886,f810]) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| c1_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f935,plain,
( spl0_145
| spl0_129
| spl0_148
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f177,f182,f910,f830,f898]) ).
fof(f177,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f933,plain,
( spl0_150
| spl0_151
| spl0_138
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f175,f182,f870,f924,f920]) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| c1_1(X1)
| c1_1(X2)
| c2_1(X1)
| c2_1(X2)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f932,plain,
( spl0_140
| spl0_151
| spl0_137
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f176,f182,f867,f924,f878]) ).
fof(f176,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X2)
| c0_1(X2)
| c3_1(X2)
| c2_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f927,plain,
( spl0_150
| spl0_132
| spl0_147
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f178,f182,f906,f845,f920]) ).
fof(f178,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f926,plain,
( spl0_151
| spl0_132
| spl0_147
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f180,f182,f906,f845,f924]) ).
fof(f180,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c0_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X0)
| c2_1(X1)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f922,plain,
( spl0_150
| spl0_138
| spl0_118
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f159,f182,f766,f870,f920]) ).
fof(f766,plain,
( spl0_118
<=> hskp14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp14
| ~ c0_1(X1)
| ~ c3_1(X0)
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f918,plain,
( spl0_123
| spl0_131
| spl0_111
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f163,f182,f731,f841,f802]) ).
fof(f731,plain,
( spl0_111
<=> hskp3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f163,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp3
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f913,plain,
( spl0_129
| spl0_131
| spl0_110
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f171,f182,f726,f841,f830]) ).
fof(f726,plain,
( spl0_110
<=> hskp1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f171,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp1
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f912,plain,
( spl0_148
| spl0_133
| spl0_99
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f162,f182,f671,f853,f910]) ).
fof(f671,plain,
( spl0_99
<=> hskp12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f162,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp12
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f901,plain,
( spl0_128
| spl0_131
| spl0_98
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f170,f182,f666,f841,f826]) ).
fof(f666,plain,
( spl0_98
<=> hskp8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f170,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp8
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f900,plain,
( spl0_142
| spl0_145
| spl0_78
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f158,f182,f566,f898,f886]) ).
fof(f566,plain,
( spl0_78
<=> hskp10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f158,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp10
| ~ c2_1(X1)
| ~ c2_1(X0)
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f896,plain,
( spl0_144
| spl0_135
| spl0_77
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f155,f182,f561,f860,f894]) ).
fof(f561,plain,
( spl0_77
<=> hskp6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f155,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp6
| ~ c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| c3_1(X1)
| c2_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f892,plain,
( spl0_143
| spl0_124
| spl0_75
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f166,f182,f551,f806,f890]) ).
fof(f551,plain,
( spl0_75
<=> hskp5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f166,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp5
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f888,plain,
( spl0_142
| spl0_141
| spl0_78
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f165,f182,f566,f882,f886]) ).
fof(f165,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp10
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f884,plain,
( spl0_130
| spl0_141
| spl0_79
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f169,f182,f571,f882,f835]) ).
fof(f571,plain,
( spl0_79
<=> hskp16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp16
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| c3_1(X0)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f880,plain,
( spl0_140
| spl0_128
| spl0_58
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f157,f182,f466,f826,f878]) ).
fof(f466,plain,
( spl0_58
<=> hskp9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f157,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp9
| ~ c0_1(X0)
| ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f876,plain,
( spl0_139
| spl0_132
| spl0_29
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f156,f182,f321,f845,f874]) ).
fof(f321,plain,
( spl0_29
<=> hskp0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f156,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp0
| ~ c0_1(X0)
| ~ c1_1(X0)
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f872,plain,
( spl0_137
| spl0_138
| spl0_27
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f164,f182,f311,f870,f867]) ).
fof(f311,plain,
( spl0_27
<=> hskp15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f164,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp15
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f865,plain,
( spl0_135
| spl0_136
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f161,f182,f186,f863,f860]) ).
fof(f186,plain,
( spl0_2
<=> hskp7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f161,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp7
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f858,plain,
( spl0_133
| spl0_134
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f160,f182,f856,f853]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ ndr1_0
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| c3_1(X1)
| c1_1(X0)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f851,plain,
( spl0_128
| spl0_110
| spl0_100
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f141,f182,f676,f726,f826]) ).
fof(f676,plain,
( spl0_100
<=> hskp17 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f141,axiom,
! [X0] :
( ~ ndr1_0
| hskp17
| hskp1
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f849,plain,
( spl0_122
| spl0_118
| spl0_76
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f146,f182,f556,f766,f798]) ).
fof(f556,plain,
( spl0_76
<=> hskp18 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f146,axiom,
! [X0] :
( ~ ndr1_0
| hskp18
| hskp14
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f848,plain,
( spl0_130
| spl0_118
| spl0_78
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f143,f182,f566,f766,f835]) ).
fof(f143,axiom,
! [X0] :
( ~ ndr1_0
| hskp10
| hskp14
| ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f847,plain,
( spl0_132
| spl0_111
| spl0_77
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f149,f182,f561,f731,f845]) ).
fof(f149,axiom,
! [X0] :
( ~ ndr1_0
| hskp6
| hskp3
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f839,plain,
( spl0_122
| spl0_100
| spl0_74
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f145,f182,f546,f676,f798]) ).
fof(f546,plain,
( spl0_74
<=> hskp26 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f145,axiom,
! [X0] :
( ~ ndr1_0
| hskp26
| hskp17
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f838,plain,
( spl0_128
| spl0_99
| spl0_75
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f140,f182,f551,f671,f826]) ).
fof(f140,axiom,
! [X0] :
( ~ ndr1_0
| hskp5
| hskp12
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f837,plain,
( spl0_130
| spl0_98
| spl0_79
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f144,f182,f571,f666,f835]) ).
fof(f144,axiom,
! [X0] :
( ~ ndr1_0
| hskp16
| hskp8
| ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f828,plain,
( spl0_128
| spl0_78
| spl0_57
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f139,f182,f461,f566,f826]) ).
fof(f461,plain,
( spl0_57
<=> hskp20 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f139,axiom,
! [X0] :
( ~ ndr1_0
| hskp20
| hskp10
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f824,plain,
( spl0_127
| spl0_55
| spl0_58
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f153,f182,f466,f451,f822]) ).
fof(f451,plain,
( spl0_55
<=> hskp22 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f153,axiom,
! [X0] :
( ~ ndr1_0
| hskp9
| hskp22
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f820,plain,
( spl0_126
| spl0_111
| spl0_28
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f136,f182,f316,f731,f816]) ).
fof(f316,plain,
( spl0_28
<=> hskp2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f136,axiom,
! [X0] :
( ~ ndr1_0
| hskp2
| hskp3
| ~ c3_1(X0)
| c0_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f814,plain,
( spl0_122
| spl0_75
| spl0_23
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f147,f182,f291,f551,f798]) ).
fof(f291,plain,
( spl0_23
<=> hskp19 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f147,axiom,
! [X0] :
( ~ ndr1_0
| hskp19
| hskp5
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f813,plain,
( spl0_122
| spl0_77
| spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f148,f182,f306,f561,f798]) ).
fof(f306,plain,
( spl0_26
<=> hskp4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f148,axiom,
! [X0] :
( ~ ndr1_0
| hskp4
| hskp6
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f812,plain,
( spl0_125
| spl0_74
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f134,f182,f196,f546,f810]) ).
fof(f196,plain,
( spl0_4
<=> hskp27 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f134,axiom,
! [X0] :
( ~ ndr1_0
| hskp27
| hskp26
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f804,plain,
( spl0_123
| spl0_110
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f133,f182,f726,f802]) ).
fof(f133,axiom,
! [X0] :
( ~ ndr1_0
| hskp1
| c3_1(X0)
| c1_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f800,plain,
( spl0_122
| spl0_54
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f138,f182,f446,f798]) ).
fof(f446,plain,
( spl0_54
<=> hskp13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f138,axiom,
! [X0] :
( ~ ndr1_0
| hskp13
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f796,plain,
( spl0_118
| spl0_110
| spl0_111 ),
inference(avatar_split_clause,[],[f39,f731,f726,f766]) ).
fof(f39,axiom,
( hskp3
| hskp1
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f795,plain,
( spl0_118
| spl0_99
| spl0_56 ),
inference(avatar_split_clause,[],[f38,f456,f671,f766]) ).
fof(f456,plain,
( spl0_56
<=> hskp11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f38,axiom,
( hskp11
| hskp12
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f793,plain,
( spl0_100
| spl0_77
| spl0_55 ),
inference(avatar_split_clause,[],[f41,f451,f561,f676]) ).
fof(f41,axiom,
( hskp22
| hskp6
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f791,plain,
( spl0_118
| spl0_58
| spl0_28 ),
inference(avatar_split_clause,[],[f34,f316,f466,f766]) ).
fof(f34,axiom,
( hskp2
| hskp9
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f790,plain,
( spl0_100
| spl0_55
| spl0_27 ),
inference(avatar_split_clause,[],[f42,f311,f451,f676]) ).
fof(f42,axiom,
( hskp15
| hskp22
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f789,plain,
( spl0_76
| spl0_54
| spl0_23 ),
inference(avatar_split_clause,[],[f32,f291,f446,f556]) ).
fof(f32,axiom,
( hskp19
| hskp13
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f788,plain,
( spl0_57
| spl0_24
| spl0_29 ),
inference(avatar_split_clause,[],[f35,f321,f296,f461]) ).
fof(f296,plain,
( spl0_24
<=> hskp29 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f35,axiom,
( hskp0
| hskp29
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f786,plain,
( spl0_100
| spl0_76
| spl0_6 ),
inference(avatar_split_clause,[],[f33,f206,f556,f676]) ).
fof(f206,plain,
( spl0_6
<=> hskp25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f33,axiom,
( hskp25
| hskp18
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f784,plain,
( spl0_121
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f70,f766,f781]) ).
fof(f70,axiom,
( ~ hskp14
| c0_1(a115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f779,plain,
( ~ spl0_120
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f107,f766,f776]) ).
fof(f107,axiom,
( ~ hskp14
| ~ c2_1(a115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f774,plain,
( ~ spl0_119
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f108,f766,f771]) ).
fof(f108,axiom,
( ~ hskp14
| ~ c3_1(a115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f769,plain,
( spl0_1
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f16,f766,f182]) ).
fof(f16,axiom,
( ~ hskp14
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f764,plain,
( spl0_117
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f87,f726,f761]) ).
fof(f87,axiom,
( ~ hskp1
| c2_1(a97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f759,plain,
( spl0_116
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f85,f731,f756]) ).
fof(f85,axiom,
( ~ hskp3
| c2_1(a99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f754,plain,
( spl0_115
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f88,f726,f751]) ).
fof(f88,axiom,
( ~ hskp1
| c3_1(a97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f749,plain,
( ~ spl0_114
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f125,f731,f746]) ).
fof(f125,axiom,
( ~ hskp3
| ~ c1_1(a99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f744,plain,
( ~ spl0_113
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f129,f726,f741]) ).
fof(f129,axiom,
( ~ hskp1
| ~ c1_1(a97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f739,plain,
( ~ spl0_112
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f126,f731,f736]) ).
fof(f126,axiom,
( ~ hskp3
| ~ c3_1(a99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f734,plain,
( spl0_1
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f27,f731,f182]) ).
fof(f27,axiom,
( ~ hskp3
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f729,plain,
( spl0_1
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f29,f726,f182]) ).
fof(f29,axiom,
( ~ hskp1
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f724,plain,
( spl0_109
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f73,f671,f721]) ).
fof(f73,axiom,
( ~ hskp12
| c2_1(a110) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f719,plain,
( spl0_108
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f74,f671,f716]) ).
fof(f74,axiom,
( ~ hskp12
| c3_1(a110) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f714,plain,
( ~ spl0_107
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f116,f666,f711]) ).
fof(f116,axiom,
( ~ hskp8
| ~ c2_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f709,plain,
( ~ spl0_106
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f102,f676,f706]) ).
fof(f102,axiom,
( ~ hskp17
| ~ c1_1(a124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f704,plain,
( ~ spl0_105
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f117,f666,f701]) ).
fof(f117,axiom,
( ~ hskp8
| ~ c3_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f699,plain,
( ~ spl0_104
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f103,f676,f696]) ).
fof(f103,axiom,
( ~ hskp17
| ~ c3_1(a124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f694,plain,
( ~ spl0_103
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f115,f666,f691]) ).
fof(f115,axiom,
( ~ hskp8
| ~ c0_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f689,plain,
( ~ spl0_102
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f101,f676,f686]) ).
fof(f101,axiom,
( ~ hskp17
| ~ c0_1(a124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f684,plain,
( ~ spl0_101
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f110,f671,f681]) ).
fof(f110,axiom,
( ~ hskp12
| ~ c0_1(a110) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f664,plain,
( spl0_97
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f54,f546,f661]) ).
fof(f54,axiom,
( ~ hskp26
| c2_1(a94) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f659,plain,
( spl0_96
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f82,f561,f656]) ).
fof(f82,axiom,
( ~ hskp6
| c2_1(a102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f654,plain,
( spl0_95
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f67,f571,f651]) ).
fof(f67,axiom,
( ~ hskp16
| c1_1(a118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f649,plain,
( spl0_94
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f53,f546,f646]) ).
fof(f53,axiom,
( ~ hskp26
| c1_1(a94) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f644,plain,
( spl0_93
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f81,f561,f641]) ).
fof(f81,axiom,
( ~ hskp6
| c1_1(a102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f639,plain,
( spl0_92
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f76,f566,f636]) ).
fof(f76,axiom,
( ~ hskp10
| c1_1(a106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f629,plain,
( spl0_90
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f77,f566,f626]) ).
fof(f77,axiom,
( ~ hskp10
| c3_1(a106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f619,plain,
( spl0_88
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f52,f546,f616]) ).
fof(f52,axiom,
( ~ hskp26
| c0_1(a94) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f614,plain,
( spl0_87
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f65,f556,f611]) ).
fof(f65,axiom,
( ~ hskp18
| c0_1(a125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f609,plain,
( ~ spl0_86
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f122,f551,f606]) ).
fof(f122,axiom,
( ~ hskp5
| ~ c2_1(a101) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f604,plain,
( ~ spl0_85
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f104,f571,f601]) ).
fof(f104,axiom,
( ~ hskp16
| ~ c2_1(a118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f599,plain,
( ~ spl0_84
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f113,f566,f596]) ).
fof(f113,axiom,
( ~ hskp10
| ~ c2_1(a106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f594,plain,
( ~ spl0_83
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f121,f551,f591]) ).
fof(f121,axiom,
( ~ hskp5
| ~ c1_1(a101) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f589,plain,
( ~ spl0_82
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f120,f561,f586]) ).
fof(f120,axiom,
( ~ hskp6
| ~ c3_1(a102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f584,plain,
( ~ spl0_81
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f105,f571,f581]) ).
fof(f105,axiom,
( ~ hskp16
| ~ c3_1(a118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f579,plain,
( ~ spl0_80
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f100,f556,f576]) ).
fof(f100,axiom,
( ~ hskp18
| ~ c3_1(a125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f544,plain,
( spl0_73
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f79,f466,f541]) ).
fof(f79,axiom,
( ~ hskp9
| c2_1(a105) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f539,plain,
( spl0_72
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f75,f456,f536]) ).
fof(f75,axiom,
( ~ hskp11
| c2_1(a109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f534,plain,
( spl0_71
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f59,f451,f531]) ).
fof(f59,axiom,
( ~ hskp22
| c3_1(a149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f529,plain,
( spl0_70
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f72,f446,f526]) ).
fof(f72,axiom,
( ~ hskp13
| c3_1(a112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f524,plain,
( spl0_69
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f62,f461,f521]) ).
fof(f62,axiom,
( ~ hskp20
| c3_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f519,plain,
( spl0_68
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f61,f461,f516]) ).
fof(f61,axiom,
( ~ hskp20
| c0_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f514,plain,
( spl0_67
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f71,f446,f511]) ).
fof(f71,axiom,
( ~ hskp13
| c0_1(a112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f509,plain,
( spl0_66
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f78,f466,f506]) ).
fof(f78,axiom,
( ~ hskp9
| c0_1(a105) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f504,plain,
( ~ spl0_65
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f98,f461,f501]) ).
fof(f98,axiom,
( ~ hskp20
| ~ c2_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f499,plain,
( ~ spl0_64
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f109,f446,f496]) ).
fof(f109,axiom,
( ~ hskp13
| ~ c1_1(a112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f494,plain,
( ~ spl0_63
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f95,f451,f491]) ).
fof(f95,axiom,
( ~ hskp22
| ~ c1_1(a149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f489,plain,
( ~ spl0_62
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f114,f466,f486]) ).
fof(f114,axiom,
( ~ hskp9
| ~ c1_1(a105) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f484,plain,
( ~ spl0_61
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f112,f456,f481]) ).
fof(f112,axiom,
( ~ hskp11
| ~ c3_1(a109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f479,plain,
( ~ spl0_60
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f94,f451,f476]) ).
fof(f94,axiom,
( ~ hskp22
| ~ c0_1(a149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f474,plain,
( ~ spl0_59
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f111,f456,f471]) ).
fof(f111,axiom,
( ~ hskp11
| ~ c0_1(a109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f444,plain,
( spl0_53
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f44,f296,f441]) ).
fof(f44,axiom,
( ~ hskp29
| c2_1(a165) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f439,plain,
( spl0_52
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f84,f306,f436]) ).
fof(f84,axiom,
( ~ hskp4
| c2_1(a100) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f434,plain,
( spl0_51
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f64,f291,f431]) ).
fof(f64,axiom,
( ~ hskp19
| c2_1(a127) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f429,plain,
( spl0_50
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f43,f296,f426]) ).
fof(f43,axiom,
( ~ hskp29
| c1_1(a165) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f424,plain,
( spl0_49
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f68,f311,f421]) ).
fof(f68,axiom,
( ~ hskp15
| c1_1(a116) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f419,plain,
( spl0_48
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f86,f316,f416]) ).
fof(f86,axiom,
( ~ hskp2
| c1_1(a98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f404,plain,
( spl0_45
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f69,f311,f401]) ).
fof(f69,axiom,
( ~ hskp15
| c3_1(a116) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f399,plain,
( spl0_44
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f45,f296,f396]) ).
fof(f45,axiom,
( ~ hskp29
| c3_1(a165) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f394,plain,
( spl0_43
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f63,f291,f391]) ).
fof(f63,axiom,
( ~ hskp19
| c0_1(a127) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f384,plain,
( ~ spl0_41
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f131,f321,f381]) ).
fof(f131,axiom,
( ~ hskp0
| ~ c2_1(a96) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f374,plain,
( ~ spl0_39
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f130,f321,f371]) ).
fof(f130,axiom,
( ~ hskp0
| ~ c1_1(a96) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f369,plain,
( ~ spl0_38
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f124,f306,f366]) ).
fof(f124,axiom,
( ~ hskp4
| ~ c1_1(a100) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f364,plain,
( ~ spl0_37
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f128,f316,f361]) ).
fof(f128,axiom,
( ~ hskp2
| ~ c3_1(a98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f359,plain,
( ~ spl0_36
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f99,f291,f356]) ).
fof(f99,axiom,
( ~ hskp19
| ~ c3_1(a127) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f354,plain,
( ~ spl0_35
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f132,f321,f351]) ).
fof(f132,axiom,
( ~ hskp0
| ~ c3_1(a96) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f344,plain,
( ~ spl0_33
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f123,f306,f341]) ).
fof(f123,axiom,
( ~ hskp4
| ~ c0_1(a100) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f329,plain,
( ~ spl0_30
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f127,f316,f326]) ).
fof(f127,axiom,
( ~ hskp2
| ~ c0_1(a98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f284,plain,
( spl0_21
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f50,f196,f281]) ).
fof(f50,axiom,
( ~ hskp27
| c2_1(a95) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f269,plain,
( spl0_18
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f51,f196,f266]) ).
fof(f51,axiom,
( ~ hskp27
| c3_1(a95) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f259,plain,
( spl0_16
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f206,f256]) ).
fof(f55,axiom,
( ~ hskp25
| c0_1(a159) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f254,plain,
( spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f49,f196,f251]) ).
fof(f49,axiom,
( ~ hskp27
| c0_1(a95) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f244,plain,
( spl0_13
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f80,f186,f241]) ).
fof(f80,axiom,
( ~ hskp7
| c0_1(a103) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f234,plain,
( ~ spl0_11
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f90,f206,f231]) ).
fof(f90,axiom,
( ~ hskp25
| ~ c2_1(a159) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f224,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f118,f186,f221]) ).
fof(f118,axiom,
( ~ hskp7
| ~ c1_1(a103) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f214,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f119,f186,f211]) ).
fof(f119,axiom,
( ~ hskp7
| ~ c3_1(a103) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN454-1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:24:18 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (26528)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (26536)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (26535)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (26534)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)
% 0.15/0.37 % (26532)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (26533)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (26537)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (26539)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)
% 0.15/0.37 Detected minimum model sizes of [1]
% 0.15/0.37 Detected maximum model sizes of [30]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 Detected minimum model sizes of [1]
% 0.15/0.37 Detected maximum model sizes of [30]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [30]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [30]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [5]
% 0.15/0.40 TRYING [5]
% 0.15/0.41 % (26537)First to succeed.
% 0.21/0.42 % (26537)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (26537)------------------------------
% 0.21/0.42 % (26537)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.42 % (26537)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (26537)Memory used [KB]: 1751
% 0.21/0.42 % (26537)Time elapsed: 0.046 s
% 0.21/0.42 % (26537)Instructions burned: 76 (million)
% 0.21/0.42 % (26537)------------------------------
% 0.21/0.42 % (26537)------------------------------
% 0.21/0.42 % (26528)Success in time 0.068 s
%------------------------------------------------------------------------------