TSTP Solution File: SYN451-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN451-1 : 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 : n026.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 18:03:30 EDT 2024
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 258
% Syntax : Number of formulae : 762 ( 1 unt; 0 def)
% Number of atoms : 2565 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3168 (1365 ~;1666 |; 0 &)
% ( 137 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 168 ( 167 usr; 164 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 25 con; 0-0 aty)
% Number of variables : 155 ( 155 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4269,plain,
$false,
inference(avatar_sat_refutation,[],[f224,f229,f234,f244,f249,f254,f259,f264,f269,f279,f284,f304,f309,f314,f319,f364,f369,f374,f379,f384,f389,f399,f409,f419,f424,f429,f434,f439,f449,f459,f464,f474,f479,f484,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f609,f614,f619,f634,f639,f644,f649,f654,f659,f669,f674,f679,f689,f694,f699,f704,f709,f714,f719,f729,f734,f739,f744,f749,f754,f759,f760,f761,f764,f765,f769,f781,f793,f799,f800,f801,f802,f806,f810,f814,f818,f822,f826,f831,f846,f853,f854,f858,f859,f863,f864,f875,f879,f880,f881,f882,f887,f888,f892,f893,f898,f900,f901,f902,f903,f904,f906,f907,f911,f933,f946,f949,f974,f975,f985,f1025,f1038,f1049,f1064,f1087,f1090,f1103,f1106,f1136,f1163,f1208,f1236,f1262,f1266,f1310,f1357,f1428,f1440,f1444,f1460,f1462,f1526,f1529,f1532,f1660,f1711,f1868,f1878,f1902,f1939,f1954,f2048,f2061,f2159,f2243,f2255,f2272,f2297,f2326,f2357,f2495,f2509,f2518,f2558,f2580,f2646,f2711,f3101,f3130,f3132,f3134,f3220,f3306,f3365,f3379,f3534,f3647,f3685,f3776,f3780,f3803,f3808,f3861,f3945,f3975,f3978,f3985,f4147,f4200,f4264,f4268]) ).
fof(f4268,plain,
( spl0_105
| ~ spl0_108
| ~ spl0_121
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f4267]) ).
fof(f4267,plain,
( $false
| spl0_105
| ~ spl0_108
| ~ spl0_121
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f4259,f698]) ).
fof(f698,plain,
( ~ c1_1(a730)
| spl0_105 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl0_105
<=> c1_1(a730) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f4259,plain,
( c1_1(a730)
| ~ spl0_108
| ~ spl0_121
| ~ spl0_146 ),
inference(resolution,[],[f4242,f713]) ).
fof(f713,plain,
( c3_1(a730)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f711,plain,
( spl0_108
<=> c3_1(a730) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f4242,plain,
( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1) )
| ~ spl0_121
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f891,f780]) ).
fof(f780,plain,
( ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f779,plain,
( spl0_121
<=> ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f891,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl0_146
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f4264,plain,
( spl0_39
| ~ spl0_50
| ~ spl0_121
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f4263]) ).
fof(f4263,plain,
( $false
| spl0_39
| ~ spl0_50
| ~ spl0_121
| ~ spl0_146 ),
inference(subsumption_resolution,[],[f4252,f368]) ).
fof(f368,plain,
( ~ c1_1(a744)
| spl0_39 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl0_39
<=> c1_1(a744) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f4252,plain,
( c1_1(a744)
| ~ spl0_50
| ~ spl0_121
| ~ spl0_146 ),
inference(resolution,[],[f4242,f423]) ).
fof(f423,plain,
( c3_1(a744)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl0_50
<=> c3_1(a744) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f4200,plain,
( spl0_93
| ~ spl0_96
| ~ spl0_97
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f4199]) ).
fof(f4199,plain,
( $false
| spl0_93
| ~ spl0_96
| ~ spl0_97
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f4198,f658]) ).
fof(f658,plain,
( c3_1(a731)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f656,plain,
( spl0_97
<=> c3_1(a731) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f4198,plain,
( ~ c3_1(a731)
| spl0_93
| ~ spl0_96
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f4180,f653]) ).
fof(f653,plain,
( c1_1(a731)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl0_96
<=> c1_1(a731) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f4180,plain,
( ~ c1_1(a731)
| ~ c3_1(a731)
| spl0_93
| ~ spl0_142 ),
inference(resolution,[],[f870,f638]) ).
fof(f638,plain,
( ~ c2_1(a731)
| spl0_93 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl0_93
<=> c2_1(a731) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f870,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f869,plain,
( spl0_142
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f4147,plain,
( spl0_94
| ~ spl0_95
| ~ spl0_127
| ~ spl0_131
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f4125,f873,f824,f808,f646,f641]) ).
fof(f641,plain,
( spl0_94
<=> c0_1(a734) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f646,plain,
( spl0_95
<=> c1_1(a734) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f808,plain,
( spl0_127
<=> ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f824,plain,
( spl0_131
<=> ! [X0] :
( c1_1(X0)
| c0_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f873,plain,
( spl0_143
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f4125,plain,
( c0_1(a734)
| ~ spl0_95
| ~ spl0_127
| ~ spl0_131
| ~ spl0_143 ),
inference(resolution,[],[f4082,f648]) ).
fof(f648,plain,
( c1_1(a734)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f4082,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1) )
| ~ spl0_127
| ~ spl0_131
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f874,f3986]) ).
fof(f3986,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0) )
| ~ spl0_127
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f809,f825]) ).
fof(f825,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f809,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f874,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f3985,plain,
( ~ spl0_166
| spl0_74
| spl0_76
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f3982,f851,f551,f541,f2079]) ).
fof(f2079,plain,
( spl0_166
<=> c1_1(a732) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f541,plain,
( spl0_74
<=> c2_1(a732) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f551,plain,
( spl0_76
<=> c0_1(a732) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f851,plain,
( spl0_138
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f3982,plain,
( ~ c1_1(a732)
| spl0_74
| spl0_76
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f3964,f553]) ).
fof(f553,plain,
( ~ c0_1(a732)
| spl0_76 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f3964,plain,
( c0_1(a732)
| ~ c1_1(a732)
| spl0_74
| ~ spl0_138 ),
inference(resolution,[],[f852,f543]) ).
fof(f543,plain,
( ~ c2_1(a732)
| spl0_74 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f852,plain,
( ! [X1] :
( c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f3978,plain,
( spl0_94
| ~ spl0_95
| ~ spl0_138
| spl0_158 ),
inference(avatar_contradiction_clause,[],[f3977]) ).
fof(f3977,plain,
( $false
| spl0_94
| ~ spl0_95
| ~ spl0_138
| spl0_158 ),
inference(subsumption_resolution,[],[f3976,f648]) ).
fof(f3976,plain,
( ~ c1_1(a734)
| spl0_94
| ~ spl0_138
| spl0_158 ),
inference(subsumption_resolution,[],[f3961,f643]) ).
fof(f643,plain,
( ~ c0_1(a734)
| spl0_94 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f3961,plain,
( c0_1(a734)
| ~ c1_1(a734)
| ~ spl0_138
| spl0_158 ),
inference(resolution,[],[f852,f1313]) ).
fof(f1313,plain,
( ~ c2_1(a734)
| spl0_158 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1312,plain,
( spl0_158
<=> c2_1(a734) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f3975,plain,
( spl0_73
| spl0_80
| ~ spl0_83
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f3974]) ).
fof(f3974,plain,
( $false
| spl0_73
| spl0_80
| ~ spl0_83
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f3973,f588]) ).
fof(f588,plain,
( c1_1(a738)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f586,plain,
( spl0_83
<=> c1_1(a738) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f3973,plain,
( ~ c1_1(a738)
| spl0_73
| spl0_80
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f3960,f573]) ).
fof(f573,plain,
( ~ c0_1(a738)
| spl0_80 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl0_80
<=> c0_1(a738) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f3960,plain,
( c0_1(a738)
| ~ c1_1(a738)
| spl0_73
| ~ spl0_138 ),
inference(resolution,[],[f852,f538]) ).
fof(f538,plain,
( ~ c2_1(a738)
| spl0_73 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl0_73
<=> c2_1(a738) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f3945,plain,
( spl0_74
| spl0_76
| ~ spl0_130
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f3944]) ).
fof(f3944,plain,
( $false
| spl0_74
| spl0_76
| ~ spl0_130
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f3932,f553]) ).
fof(f3932,plain,
( c0_1(a732)
| spl0_74
| ~ spl0_130
| ~ spl0_138 ),
inference(resolution,[],[f3912,f543]) ).
fof(f3912,plain,
( ! [X1] :
( c2_1(X1)
| c0_1(X1) )
| ~ spl0_130
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f852,f821]) ).
fof(f821,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f820,plain,
( spl0_130
<=> ! [X0] :
( c1_1(X0)
| c0_1(X0)
| c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f3861,plain,
( spl0_131
| ~ spl0_130
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f3860,f866,f820,f824]) ).
fof(f866,plain,
( spl0_141
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f3860,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c3_1(X0) )
| ~ spl0_130
| ~ spl0_141 ),
inference(duplicate_literal_removal,[],[f3843]) ).
fof(f3843,plain,
( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| c1_1(X0) )
| ~ spl0_130
| ~ spl0_141 ),
inference(resolution,[],[f821,f867]) ).
fof(f867,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f3808,plain,
( spl0_69
| spl0_76
| ~ spl0_127
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f3807]) ).
fof(f3807,plain,
( $false
| spl0_69
| spl0_76
| ~ spl0_127
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f3805,f553]) ).
fof(f3805,plain,
( c0_1(a732)
| spl0_69
| ~ spl0_127
| ~ spl0_131 ),
inference(resolution,[],[f518,f3715]) ).
fof(f3715,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0) )
| ~ spl0_127
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f825,f809]) ).
fof(f518,plain,
( ~ c3_1(a732)
| spl0_69 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f516,plain,
( spl0_69
<=> c3_1(a732) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f3803,plain,
( spl0_10
| spl0_15
| ~ spl0_26
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f3802]) ).
fof(f3802,plain,
( $false
| spl0_10
| spl0_15
| ~ spl0_26
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f3801,f223]) ).
fof(f223,plain,
( ~ c1_1(a779)
| spl0_10 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl0_10
<=> c1_1(a779) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3801,plain,
( c1_1(a779)
| spl0_15
| ~ spl0_26
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f3792,f248]) ).
fof(f248,plain,
( ~ c3_1(a779)
| spl0_15 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl0_15
<=> c3_1(a779) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f3792,plain,
( c3_1(a779)
| c1_1(a779)
| ~ spl0_26
| ~ spl0_141 ),
inference(resolution,[],[f867,f303]) ).
fof(f303,plain,
( c2_1(a779)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl0_26
<=> c2_1(a779) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f3780,plain,
( spl0_11
| spl0_19
| ~ spl0_29
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f3768,f861,f316,f266,f226]) ).
fof(f226,plain,
( spl0_11
<=> c1_1(a762) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f266,plain,
( spl0_19
<=> c2_1(a762) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f316,plain,
( spl0_29
<=> c0_1(a762) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f861,plain,
( spl0_140
<=> ! [X1] :
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f3768,plain,
( c1_1(a762)
| spl0_19
| ~ spl0_29
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f3752,f318]) ).
fof(f318,plain,
( c0_1(a762)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f3752,plain,
( ~ c0_1(a762)
| c1_1(a762)
| spl0_19
| ~ spl0_140 ),
inference(resolution,[],[f862,f268]) ).
fof(f268,plain,
( ~ c2_1(a762)
| spl0_19 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f862,plain,
( ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f3776,plain,
( spl0_105
| ~ spl0_109
| ~ spl0_140
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f3775]) ).
fof(f3775,plain,
( $false
| spl0_105
| ~ spl0_109
| ~ spl0_140
| spl0_173 ),
inference(subsumption_resolution,[],[f3774,f698]) ).
fof(f3774,plain,
( c1_1(a730)
| ~ spl0_109
| ~ spl0_140
| spl0_173 ),
inference(subsumption_resolution,[],[f3760,f718]) ).
fof(f718,plain,
( c0_1(a730)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl0_109
<=> c0_1(a730) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f3760,plain,
( ~ c0_1(a730)
| c1_1(a730)
| ~ spl0_140
| spl0_173 ),
inference(resolution,[],[f862,f3374]) ).
fof(f3374,plain,
( ~ c2_1(a730)
| spl0_173 ),
inference(avatar_component_clause,[],[f3372]) ).
fof(f3372,plain,
( spl0_173
<=> c2_1(a730) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f3685,plain,
( spl0_80
| ~ spl0_83
| ~ spl0_127
| spl0_156 ),
inference(avatar_contradiction_clause,[],[f3684]) ).
fof(f3684,plain,
( $false
| spl0_80
| ~ spl0_83
| ~ spl0_127
| spl0_156 ),
inference(subsumption_resolution,[],[f3683,f588]) ).
fof(f3683,plain,
( ~ c1_1(a738)
| spl0_80
| ~ spl0_127
| spl0_156 ),
inference(subsumption_resolution,[],[f3679,f573]) ).
fof(f3679,plain,
( c0_1(a738)
| ~ c1_1(a738)
| ~ spl0_127
| spl0_156 ),
inference(resolution,[],[f809,f1302]) ).
fof(f1302,plain,
( ~ c3_1(a738)
| spl0_156 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1301,plain,
( spl0_156
<=> c3_1(a738) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f3647,plain,
( ~ spl0_173
| spl0_105
| ~ spl0_108
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3646,f779,f711,f696,f3372]) ).
fof(f3646,plain,
( ~ c2_1(a730)
| spl0_105
| ~ spl0_108
| ~ spl0_121 ),
inference(subsumption_resolution,[],[f3643,f698]) ).
fof(f3643,plain,
( c1_1(a730)
| ~ c2_1(a730)
| ~ spl0_108
| ~ spl0_121 ),
inference(resolution,[],[f780,f713]) ).
fof(f3534,plain,
( ~ spl0_96
| ~ spl0_97
| ~ spl0_136
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f3533]) ).
fof(f3533,plain,
( $false
| ~ spl0_96
| ~ spl0_97
| ~ spl0_136
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f3532,f653]) ).
fof(f3532,plain,
( ~ c1_1(a731)
| ~ spl0_97
| ~ spl0_136
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f3523,f983]) ).
fof(f983,plain,
( c0_1(a731)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f982,plain,
( spl0_150
<=> c0_1(a731) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f3523,plain,
( ~ c0_1(a731)
| ~ c1_1(a731)
| ~ spl0_97
| ~ spl0_136 ),
inference(resolution,[],[f845,f658]) ).
fof(f845,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f844,plain,
( spl0_136
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f3379,plain,
( ~ spl0_97
| ~ spl0_118
| ~ spl0_148
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f3378]) ).
fof(f3378,plain,
( $false
| ~ spl0_97
| ~ spl0_118
| ~ spl0_148
| ~ spl0_150 ),
inference(subsumption_resolution,[],[f3377,f983]) ).
fof(f3377,plain,
( ~ c0_1(a731)
| ~ spl0_97
| ~ spl0_118
| ~ spl0_148 ),
inference(resolution,[],[f658,f3333]) ).
fof(f3333,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_118
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f910,f768]) ).
fof(f768,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f767,plain,
( spl0_118
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f910,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f909,plain,
( spl0_148
<=> ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f3365,plain,
( ~ spl0_108
| ~ spl0_109
| ~ spl0_118
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f3364]) ).
fof(f3364,plain,
( $false
| ~ spl0_108
| ~ spl0_109
| ~ spl0_118
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f3348,f718]) ).
fof(f3348,plain,
( ~ c0_1(a730)
| ~ spl0_108
| ~ spl0_118
| ~ spl0_148 ),
inference(resolution,[],[f3333,f713]) ).
fof(f3306,plain,
( spl0_131
| ~ spl0_130
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f3305,f841,f820,f824]) ).
fof(f841,plain,
( spl0_135
<=> ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f3305,plain,
( ! [X0] :
( c0_1(X0)
| c3_1(X0)
| c1_1(X0) )
| ~ spl0_130
| ~ spl0_135 ),
inference(duplicate_literal_removal,[],[f3296]) ).
fof(f3296,plain,
( ! [X0] :
( c0_1(X0)
| c3_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_130
| ~ spl0_135 ),
inference(resolution,[],[f842,f821]) ).
fof(f842,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f3220,plain,
( spl0_77
| spl0_70
| ~ spl0_127
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3210,f824,f808,f521,f556]) ).
fof(f556,plain,
( spl0_77
<=> c0_1(a777) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f521,plain,
( spl0_70
<=> c3_1(a777) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f3210,plain,
( c0_1(a777)
| spl0_70
| ~ spl0_127
| ~ spl0_131 ),
inference(resolution,[],[f3184,f523]) ).
fof(f523,plain,
( ~ c3_1(a777)
| spl0_70 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f3184,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0) )
| ~ spl0_127
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f809,f825]) ).
fof(f3134,plain,
( spl0_94
| ~ spl0_95
| ~ spl0_125
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f3133]) ).
fof(f3133,plain,
( $false
| spl0_94
| ~ spl0_95
| ~ spl0_125
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f3116,f643]) ).
fof(f3116,plain,
( c0_1(a734)
| ~ spl0_95
| ~ spl0_125
| ~ spl0_138 ),
inference(resolution,[],[f3102,f648]) ).
fof(f3102,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1) )
| ~ spl0_125
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f852,f797]) ).
fof(f797,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl0_125
<=> ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f3132,plain,
( spl0_80
| ~ spl0_83
| ~ spl0_125
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f3131]) ).
fof(f3131,plain,
( $false
| spl0_80
| ~ spl0_83
| ~ spl0_125
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f3115,f573]) ).
fof(f3115,plain,
( c0_1(a738)
| ~ spl0_83
| ~ spl0_125
| ~ spl0_138 ),
inference(resolution,[],[f3102,f588]) ).
fof(f3130,plain,
( spl0_78
| ~ spl0_82
| ~ spl0_125
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f3129]) ).
fof(f3129,plain,
( $false
| spl0_78
| ~ spl0_82
| ~ spl0_125
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f3114,f563]) ).
fof(f563,plain,
( ~ c0_1(a741)
| spl0_78 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f561,plain,
( spl0_78
<=> c0_1(a741) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f3114,plain,
( c0_1(a741)
| ~ spl0_82
| ~ spl0_125
| ~ spl0_138 ),
inference(resolution,[],[f3102,f583]) ).
fof(f583,plain,
( c1_1(a741)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl0_82
<=> c1_1(a741) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f3101,plain,
( spl0_166
| spl0_76
| spl0_69
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3018,f824,f516,f551,f2079]) ).
fof(f3018,plain,
( c0_1(a732)
| c1_1(a732)
| spl0_69
| ~ spl0_131 ),
inference(resolution,[],[f825,f518]) ).
fof(f2711,plain,
( spl0_157
| ~ spl0_86
| ~ spl0_88
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2710,f779,f611,f601,f1306]) ).
fof(f1306,plain,
( spl0_157
<=> c1_1(a729) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f601,plain,
( spl0_86
<=> c3_1(a729) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f611,plain,
( spl0_88
<=> c2_1(a729) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f2710,plain,
( c1_1(a729)
| ~ spl0_86
| ~ spl0_88
| ~ spl0_121 ),
inference(subsumption_resolution,[],[f2694,f613]) ).
fof(f613,plain,
( c2_1(a729)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f2694,plain,
( c1_1(a729)
| ~ c2_1(a729)
| ~ spl0_86
| ~ spl0_121 ),
inference(resolution,[],[f780,f603]) ).
fof(f603,plain,
( c3_1(a729)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f2646,plain,
( spl0_150
| spl0_93
| ~ spl0_97
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2645,f771,f656,f636,f982]) ).
fof(f771,plain,
( spl0_119
<=> ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2645,plain,
( c0_1(a731)
| spl0_93
| ~ spl0_97
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f2637,f658]) ).
fof(f2637,plain,
( c0_1(a731)
| ~ c3_1(a731)
| spl0_93
| ~ spl0_119 ),
inference(resolution,[],[f772,f638]) ).
fof(f772,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f2580,plain,
( ~ spl0_157
| ~ spl0_89
| ~ spl0_126
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2569,f844,f804,f616,f1306]) ).
fof(f616,plain,
( spl0_89
<=> c0_1(a729) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f804,plain,
( spl0_126
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f2569,plain,
( ~ c1_1(a729)
| ~ spl0_89
| ~ spl0_126
| ~ spl0_136 ),
inference(resolution,[],[f2559,f618]) ).
fof(f618,plain,
( c0_1(a729)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f2559,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_126
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f845,f805]) ).
fof(f805,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f2558,plain,
( ~ spl0_111
| ~ spl0_112
| ~ spl0_120
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f2557]) ).
fof(f2557,plain,
( $false
| ~ spl0_111
| ~ spl0_112
| ~ spl0_120
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f2556,f1034]) ).
fof(f1034,plain,
( c3_1(a750)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl0_151
<=> c3_1(a750) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f2556,plain,
( ~ c3_1(a750)
| ~ spl0_111
| ~ spl0_112
| ~ spl0_120 ),
inference(subsumption_resolution,[],[f2543,f733]) ).
fof(f733,plain,
( c2_1(a750)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl0_112
<=> c2_1(a750) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f2543,plain,
( ~ c2_1(a750)
| ~ c3_1(a750)
| ~ spl0_111
| ~ spl0_120 ),
inference(resolution,[],[f776,f728]) ).
fof(f728,plain,
( c1_1(a750)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f726,plain,
( spl0_111
<=> c1_1(a750) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f776,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f775,plain,
( spl0_120
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f2518,plain,
( spl0_41
| ~ spl0_49
| ~ spl0_61
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f2517]) ).
fof(f2517,plain,
( $false
| spl0_41
| ~ spl0_49
| ~ spl0_61
| ~ spl0_126 ),
inference(subsumption_resolution,[],[f2516,f418]) ).
fof(f418,plain,
( c1_1(a798)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl0_49
<=> c1_1(a798) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2516,plain,
( ~ c1_1(a798)
| spl0_41
| ~ spl0_61
| ~ spl0_126 ),
inference(subsumption_resolution,[],[f2515,f378]) ).
fof(f378,plain,
( ~ c3_1(a798)
| spl0_41 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl0_41
<=> c3_1(a798) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2515,plain,
( c3_1(a798)
| ~ c1_1(a798)
| ~ spl0_61
| ~ spl0_126 ),
inference(resolution,[],[f478,f805]) ).
fof(f478,plain,
( c0_1(a798)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl0_61
<=> c0_1(a798) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2509,plain,
( spl0_42
| ~ spl0_53
| ~ spl0_119
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
fof(f2508,plain,
( $false
| spl0_42
| ~ spl0_53
| ~ spl0_119
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f2503,f438]) ).
fof(f438,plain,
( c3_1(a793)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl0_53
<=> c3_1(a793) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f2503,plain,
( ~ c3_1(a793)
| spl0_42
| ~ spl0_119
| ~ spl0_148 ),
inference(resolution,[],[f2500,f383]) ).
fof(f383,plain,
( ~ c2_1(a793)
| spl0_42 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl0_42
<=> c2_1(a793) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2500,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_119
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f910,f772]) ).
fof(f2495,plain,
( spl0_38
| ~ spl0_58
| ~ spl0_121
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2494,plain,
( $false
| spl0_38
| ~ spl0_58
| ~ spl0_121
| ~ spl0_153 ),
inference(subsumption_resolution,[],[f2493,f463]) ).
fof(f463,plain,
( c2_1(a733)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl0_58
<=> c2_1(a733) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2493,plain,
( ~ c2_1(a733)
| spl0_38
| ~ spl0_121
| ~ spl0_153 ),
inference(subsumption_resolution,[],[f2471,f363]) ).
fof(f363,plain,
( ~ c1_1(a733)
| spl0_38 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl0_38
<=> c1_1(a733) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2471,plain,
( c1_1(a733)
| ~ c2_1(a733)
| ~ spl0_121
| ~ spl0_153 ),
inference(resolution,[],[f780,f1207]) ).
fof(f1207,plain,
( c3_1(a733)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1205,plain,
( spl0_153
<=> c3_1(a733) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f2357,plain,
( ~ spl0_111
| ~ spl0_113
| ~ spl0_126
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2356,plain,
( $false
| ~ spl0_111
| ~ spl0_113
| ~ spl0_126
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f2346,f738]) ).
fof(f738,plain,
( c0_1(a750)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl0_113
<=> c0_1(a750) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f2346,plain,
( ~ c0_1(a750)
| ~ spl0_111
| ~ spl0_126
| ~ spl0_136 ),
inference(resolution,[],[f2329,f728]) ).
fof(f2329,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_126
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f845,f805]) ).
fof(f2326,plain,
( spl0_115
| ~ spl0_116
| ~ spl0_143
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f2325]) ).
fof(f2325,plain,
( $false
| spl0_115
| ~ spl0_116
| ~ spl0_143
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f2313,f748]) ).
fof(f748,plain,
( ~ c0_1(a735)
| spl0_115 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl0_115
<=> c0_1(a735) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f2313,plain,
( c0_1(a735)
| ~ spl0_116
| ~ spl0_143
| ~ spl0_144 ),
inference(resolution,[],[f2299,f753]) ).
fof(f753,plain,
( c3_1(a735)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl0_116
<=> c3_1(a735) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f2299,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1) )
| ~ spl0_143
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f874,f878]) ).
fof(f878,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl0_144
<=> ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f2297,plain,
( spl0_39
| spl0_45
| ~ spl0_50
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f2296]) ).
fof(f2296,plain,
( $false
| spl0_39
| spl0_45
| ~ spl0_50
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f2295,f368]) ).
fof(f2295,plain,
( c1_1(a744)
| spl0_45
| ~ spl0_50
| ~ spl0_144 ),
inference(subsumption_resolution,[],[f2288,f398]) ).
fof(f398,plain,
( ~ c0_1(a744)
| spl0_45 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl0_45
<=> c0_1(a744) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f2288,plain,
( c0_1(a744)
| c1_1(a744)
| ~ spl0_50
| ~ spl0_144 ),
inference(resolution,[],[f878,f423]) ).
fof(f2272,plain,
( spl0_144
| ~ spl0_119
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2271,f783,f771,f877]) ).
fof(f783,plain,
( spl0_122
<=> ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2271,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) )
| ~ spl0_119
| ~ spl0_122 ),
inference(duplicate_literal_removal,[],[f2266]) ).
fof(f2266,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_119
| ~ spl0_122 ),
inference(resolution,[],[f772,f784]) ).
fof(f784,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f2255,plain,
( spl0_42
| ~ spl0_60
| ~ spl0_139
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f2254]) ).
fof(f2254,plain,
( $false
| spl0_42
| ~ spl0_60
| ~ spl0_139
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f2251,f473]) ).
fof(f473,plain,
( c0_1(a793)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl0_60
<=> c0_1(a793) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2251,plain,
( ~ c0_1(a793)
| spl0_42
| ~ spl0_139
| ~ spl0_140 ),
inference(resolution,[],[f2246,f383]) ).
fof(f2246,plain,
( ! [X1] :
( c2_1(X1)
| ~ c0_1(X1) )
| ~ spl0_139
| ~ spl0_140 ),
inference(subsumption_resolution,[],[f862,f857]) ).
fof(f857,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl0_139
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f2243,plain,
( spl0_115
| ~ spl0_116
| ~ spl0_117
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f2242]) ).
fof(f2242,plain,
( $false
| spl0_115
| ~ spl0_116
| ~ spl0_117
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f2241,f758]) ).
fof(f758,plain,
( c2_1(a735)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f756,plain,
( spl0_117
<=> c2_1(a735) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2241,plain,
( ~ c2_1(a735)
| spl0_115
| ~ spl0_116
| ~ spl0_137 ),
inference(subsumption_resolution,[],[f2221,f748]) ).
fof(f2221,plain,
( c0_1(a735)
| ~ c2_1(a735)
| ~ spl0_116
| ~ spl0_137 ),
inference(resolution,[],[f849,f753]) ).
fof(f849,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f848,plain,
( spl0_137
<=> ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f2159,plain,
( spl0_162
| spl0_77
| ~ spl0_87
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2158,f783,f606,f556,f1574]) ).
fof(f1574,plain,
( spl0_162
<=> c1_1(a777) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f606,plain,
( spl0_87
<=> c2_1(a777) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f2158,plain,
( c1_1(a777)
| spl0_77
| ~ spl0_87
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f2141,f558]) ).
fof(f558,plain,
( ~ c0_1(a777)
| spl0_77 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f2141,plain,
( c0_1(a777)
| c1_1(a777)
| ~ spl0_87
| ~ spl0_122 ),
inference(resolution,[],[f784,f608]) ).
fof(f608,plain,
( c2_1(a777)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f2061,plain,
( spl0_69
| spl0_74
| spl0_76
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f2060]) ).
fof(f2060,plain,
( $false
| spl0_69
| spl0_74
| spl0_76
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f2059,f518]) ).
fof(f2059,plain,
( c3_1(a732)
| spl0_74
| spl0_76
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f2058,f553]) ).
fof(f2058,plain,
( c0_1(a732)
| c3_1(a732)
| spl0_74
| ~ spl0_129 ),
inference(resolution,[],[f817,f543]) ).
fof(f817,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c3_1(X0) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl0_129
<=> ! [X0] :
( c3_1(X0)
| c0_1(X0)
| c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2048,plain,
( ~ spl0_162
| spl0_70
| ~ spl0_126
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2045,f808,f804,f521,f1574]) ).
fof(f2045,plain,
( ~ c1_1(a777)
| spl0_70
| ~ spl0_126
| ~ spl0_127 ),
inference(resolution,[],[f2040,f523]) ).
fof(f2040,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_126
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f809,f805]) ).
fof(f1954,plain,
( spl0_12
| spl0_16
| spl0_21
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1953]) ).
fof(f1953,plain,
( $false
| spl0_12
| spl0_16
| spl0_21
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f1952,f233]) ).
fof(f233,plain,
( ~ c1_1(a748)
| spl0_12 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl0_12
<=> c1_1(a748) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1952,plain,
( c1_1(a748)
| spl0_16
| spl0_21
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f1948,f278]) ).
fof(f278,plain,
( ~ c0_1(a748)
| spl0_21 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl0_21
<=> c0_1(a748) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1948,plain,
( c0_1(a748)
| c1_1(a748)
| spl0_16
| ~ spl0_130 ),
inference(resolution,[],[f821,f253]) ).
fof(f253,plain,
( ~ c2_1(a748)
| spl0_16 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl0_16
<=> c2_1(a748) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1939,plain,
( spl0_74
| spl0_76
| ~ spl0_119
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f1938]) ).
fof(f1938,plain,
( $false
| spl0_74
| spl0_76
| ~ spl0_119
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f1931,f553]) ).
fof(f1931,plain,
( c0_1(a732)
| spl0_74
| ~ spl0_119
| ~ spl0_129 ),
inference(resolution,[],[f1921,f543]) ).
fof(f1921,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0) )
| ~ spl0_119
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f817,f772]) ).
fof(f1902,plain,
( spl0_40
| ~ spl0_52
| ~ spl0_55
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f1901]) ).
fof(f1901,plain,
( $false
| spl0_40
| ~ spl0_52
| ~ spl0_55
| ~ spl0_121 ),
inference(subsumption_resolution,[],[f1900,f448]) ).
fof(f448,plain,
( c2_1(a759)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl0_55
<=> c2_1(a759) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1900,plain,
( ~ c2_1(a759)
| spl0_40
| ~ spl0_52
| ~ spl0_121 ),
inference(subsumption_resolution,[],[f1894,f373]) ).
fof(f373,plain,
( ~ c1_1(a759)
| spl0_40 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl0_40
<=> c1_1(a759) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1894,plain,
( c1_1(a759)
| ~ c2_1(a759)
| ~ spl0_52
| ~ spl0_121 ),
inference(resolution,[],[f780,f433]) ).
fof(f433,plain,
( c3_1(a759)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl0_52
<=> c3_1(a759) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1878,plain,
( ~ spl0_49
| ~ spl0_61
| ~ spl0_139
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1859,f895,f856,f476,f416]) ).
fof(f895,plain,
( spl0_147
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1859,plain,
( ~ c1_1(a798)
| ~ spl0_61
| ~ spl0_139
| ~ spl0_147 ),
inference(resolution,[],[f1848,f478]) ).
fof(f1848,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_139
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f896,f857]) ).
fof(f896,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f1868,plain,
( ~ spl0_157
| ~ spl0_89
| ~ spl0_139
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1858,f895,f856,f616,f1306]) ).
fof(f1858,plain,
( ~ c1_1(a729)
| ~ spl0_89
| ~ spl0_139
| ~ spl0_147 ),
inference(resolution,[],[f1848,f618]) ).
fof(f1711,plain,
( ~ spl0_96
| spl0_93
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1710,f856,f851,f636,f651]) ).
fof(f1710,plain,
( ~ c1_1(a731)
| spl0_93
| ~ spl0_138
| ~ spl0_139 ),
inference(resolution,[],[f638,f1579]) ).
fof(f1579,plain,
( ! [X1] :
( c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_138
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f852,f857]) ).
fof(f1660,plain,
( spl0_77
| ~ spl0_87
| ~ spl0_122
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1659]) ).
fof(f1659,plain,
( $false
| spl0_77
| ~ spl0_87
| ~ spl0_122
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f1646,f558]) ).
fof(f1646,plain,
( c0_1(a777)
| ~ spl0_87
| ~ spl0_122
| ~ spl0_125 ),
inference(resolution,[],[f1580,f608]) ).
fof(f1580,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0) )
| ~ spl0_122
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f797,f784]) ).
fof(f1532,plain,
( ~ spl0_96
| ~ spl0_97
| ~ spl0_143
| spl0_150 ),
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1531,plain,
( $false
| ~ spl0_96
| ~ spl0_97
| ~ spl0_143
| spl0_150 ),
inference(subsumption_resolution,[],[f1530,f658]) ).
fof(f1530,plain,
( ~ c3_1(a731)
| ~ spl0_96
| ~ spl0_143
| spl0_150 ),
inference(subsumption_resolution,[],[f1523,f984]) ).
fof(f984,plain,
( ~ c0_1(a731)
| spl0_150 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f1523,plain,
( c0_1(a731)
| ~ c3_1(a731)
| ~ spl0_96
| ~ spl0_143 ),
inference(resolution,[],[f874,f653]) ).
fof(f1529,plain,
( spl0_80
| ~ spl0_83
| ~ spl0_143
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
fof(f1528,plain,
( $false
| spl0_80
| ~ spl0_83
| ~ spl0_143
| ~ spl0_156 ),
inference(subsumption_resolution,[],[f1527,f1303]) ).
fof(f1303,plain,
( c3_1(a738)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1527,plain,
( ~ c3_1(a738)
| spl0_80
| ~ spl0_83
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f1520,f573]) ).
fof(f1520,plain,
( c0_1(a738)
| ~ c3_1(a738)
| ~ spl0_83
| ~ spl0_143 ),
inference(resolution,[],[f874,f588]) ).
fof(f1526,plain,
( spl0_78
| ~ spl0_82
| ~ spl0_84
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1525,plain,
( $false
| spl0_78
| ~ spl0_82
| ~ spl0_84
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f1524,f593]) ).
fof(f593,plain,
( c3_1(a741)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl0_84
<=> c3_1(a741) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1524,plain,
( ~ c3_1(a741)
| spl0_78
| ~ spl0_82
| ~ spl0_143 ),
inference(subsumption_resolution,[],[f1519,f563]) ).
fof(f1519,plain,
( c0_1(a741)
| ~ c3_1(a741)
| ~ spl0_82
| ~ spl0_143 ),
inference(resolution,[],[f874,f583]) ).
fof(f1462,plain,
( spl0_158
| spl0_92
| ~ spl0_95
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1461,f787,f646,f631,f1312]) ).
fof(f631,plain,
( spl0_92
<=> c3_1(a734) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f787,plain,
( spl0_123
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1461,plain,
( c2_1(a734)
| spl0_92
| ~ spl0_95
| ~ spl0_123 ),
inference(subsumption_resolution,[],[f1454,f633]) ).
fof(f633,plain,
( ~ c3_1(a734)
| spl0_92 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1454,plain,
( c2_1(a734)
| c3_1(a734)
| ~ spl0_95
| ~ spl0_123 ),
inference(resolution,[],[f788,f648]) ).
fof(f788,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f1460,plain,
( spl0_71
| spl0_75
| ~ spl0_81
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f1459]) ).
fof(f1459,plain,
( $false
| spl0_71
| spl0_75
| ~ spl0_81
| ~ spl0_123 ),
inference(subsumption_resolution,[],[f1458,f528]) ).
fof(f528,plain,
( ~ c3_1(a775)
| spl0_71 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl0_71
<=> c3_1(a775) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1458,plain,
( c3_1(a775)
| spl0_75
| ~ spl0_81
| ~ spl0_123 ),
inference(subsumption_resolution,[],[f1450,f548]) ).
fof(f548,plain,
( ~ c2_1(a775)
| spl0_75 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl0_75
<=> c2_1(a775) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1450,plain,
( c2_1(a775)
| c3_1(a775)
| ~ spl0_81
| ~ spl0_123 ),
inference(resolution,[],[f788,f578]) ).
fof(f578,plain,
( c1_1(a775)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl0_81
<=> c1_1(a775) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1444,plain,
( ~ spl0_96
| ~ spl0_97
| ~ spl0_120
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl0_96
| ~ spl0_97
| ~ spl0_120
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f1437,f658]) ).
fof(f1437,plain,
( ~ c3_1(a731)
| ~ spl0_96
| ~ spl0_120
| ~ spl0_142 ),
inference(resolution,[],[f1429,f653]) ).
fof(f1429,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_120
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f870,f776]) ).
fof(f1440,plain,
( ~ spl0_82
| ~ spl0_84
| ~ spl0_120
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1439,plain,
( $false
| ~ spl0_82
| ~ spl0_84
| ~ spl0_120
| ~ spl0_142 ),
inference(subsumption_resolution,[],[f1434,f593]) ).
fof(f1434,plain,
( ~ c3_1(a741)
| ~ spl0_82
| ~ spl0_120
| ~ spl0_142 ),
inference(resolution,[],[f1429,f583]) ).
fof(f1428,plain,
( spl0_92
| spl0_94
| ~ spl0_135
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| spl0_92
| spl0_94
| ~ spl0_135
| ~ spl0_158 ),
inference(subsumption_resolution,[],[f1426,f633]) ).
fof(f1426,plain,
( c3_1(a734)
| spl0_94
| ~ spl0_135
| ~ spl0_158 ),
inference(subsumption_resolution,[],[f1425,f643]) ).
fof(f1425,plain,
( c0_1(a734)
| c3_1(a734)
| ~ spl0_135
| ~ spl0_158 ),
inference(resolution,[],[f1314,f842]) ).
fof(f1314,plain,
( c2_1(a734)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1357,plain,
( ~ spl0_47
| ~ spl0_51
| ~ spl0_57
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
fof(f1356,plain,
( $false
| ~ spl0_47
| ~ spl0_51
| ~ spl0_57
| ~ spl0_120 ),
inference(subsumption_resolution,[],[f1355,f428]) ).
fof(f428,plain,
( c3_1(a737)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl0_51
<=> c3_1(a737) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1355,plain,
( ~ c3_1(a737)
| ~ spl0_47
| ~ spl0_57
| ~ spl0_120 ),
inference(subsumption_resolution,[],[f1348,f458]) ).
fof(f458,plain,
( c2_1(a737)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f456,plain,
( spl0_57
<=> c2_1(a737) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1348,plain,
( ~ c2_1(a737)
| ~ c3_1(a737)
| ~ spl0_47
| ~ spl0_120 ),
inference(resolution,[],[f776,f408]) ).
fof(f408,plain,
( c1_1(a737)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f406,plain,
( spl0_47
<=> c1_1(a737) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1310,plain,
( ~ spl0_88
| ~ spl0_86
| ~ spl0_89
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1115,f767,f616,f601,f611]) ).
fof(f1115,plain,
( ~ c3_1(a729)
| ~ c2_1(a729)
| ~ spl0_89
| ~ spl0_118 ),
inference(resolution,[],[f768,f618]) ).
fof(f1266,plain,
( spl0_104
| spl0_107
| ~ spl0_122
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1265,plain,
( $false
| spl0_104
| spl0_107
| ~ spl0_122
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f1254,f708]) ).
fof(f708,plain,
( ~ c0_1(a749)
| spl0_107 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl0_107
<=> c0_1(a749) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1254,plain,
( c0_1(a749)
| spl0_104
| ~ spl0_122
| ~ spl0_130 ),
inference(resolution,[],[f1223,f693]) ).
fof(f693,plain,
( ~ c1_1(a749)
| spl0_104 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl0_104
<=> c1_1(a749) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1223,plain,
( ! [X0] :
( c1_1(X0)
| c0_1(X0) )
| ~ spl0_122
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f821,f784]) ).
fof(f1262,plain,
( spl0_39
| spl0_45
| ~ spl0_122
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1261,plain,
( $false
| spl0_39
| spl0_45
| ~ spl0_122
| ~ spl0_130 ),
inference(subsumption_resolution,[],[f1251,f398]) ).
fof(f1251,plain,
( c0_1(a744)
| spl0_39
| ~ spl0_122
| ~ spl0_130 ),
inference(resolution,[],[f1223,f368]) ).
fof(f1236,plain,
( spl0_42
| ~ spl0_53
| ~ spl0_60
| ~ spl0_128
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f1235]) ).
fof(f1235,plain,
( $false
| spl0_42
| ~ spl0_53
| ~ spl0_60
| ~ spl0_128
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f1234,f473]) ).
fof(f1234,plain,
( ~ c0_1(a793)
| spl0_42
| ~ spl0_53
| ~ spl0_60
| ~ spl0_128
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f1233,f383]) ).
fof(f1233,plain,
( c2_1(a793)
| ~ c0_1(a793)
| ~ spl0_53
| ~ spl0_60
| ~ spl0_128
| ~ spl0_139 ),
inference(resolution,[],[f1164,f857]) ).
fof(f1164,plain,
( c1_1(a793)
| ~ spl0_53
| ~ spl0_60
| ~ spl0_128 ),
inference(subsumption_resolution,[],[f1151,f438]) ).
fof(f1151,plain,
( c1_1(a793)
| ~ c3_1(a793)
| ~ spl0_60
| ~ spl0_128 ),
inference(resolution,[],[f813,f473]) ).
fof(f813,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f812,plain,
( spl0_128
<=> ! [X0] :
( ~ c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1208,plain,
( spl0_153
| spl0_43
| ~ spl0_58
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1016,f841,f461,f386,f1205]) ).
fof(f386,plain,
( spl0_43
<=> c0_1(a733) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1016,plain,
( c0_1(a733)
| c3_1(a733)
| ~ spl0_58
| ~ spl0_135 ),
inference(resolution,[],[f842,f463]) ).
fof(f1163,plain,
( spl0_105
| ~ spl0_108
| ~ spl0_109
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| spl0_105
| ~ spl0_108
| ~ spl0_109
| ~ spl0_128 ),
inference(subsumption_resolution,[],[f1161,f713]) ).
fof(f1161,plain,
( ~ c3_1(a730)
| spl0_105
| ~ spl0_109
| ~ spl0_128 ),
inference(subsumption_resolution,[],[f1156,f698]) ).
fof(f1156,plain,
( c1_1(a730)
| ~ c3_1(a730)
| ~ spl0_109
| ~ spl0_128 ),
inference(resolution,[],[f813,f718]) ).
fof(f1136,plain,
( ~ spl0_27
| spl0_14
| spl0_17
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1135,f791,f256,f241,f306]) ).
fof(f306,plain,
( spl0_27
<=> c0_1(a802) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f241,plain,
( spl0_14
<=> c3_1(a802) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f256,plain,
( spl0_17
<=> c2_1(a802) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f791,plain,
( spl0_124
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1135,plain,
( ~ c0_1(a802)
| spl0_14
| spl0_17
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f1124,f243]) ).
fof(f243,plain,
( ~ c3_1(a802)
| spl0_14 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f1124,plain,
( ~ c0_1(a802)
| c3_1(a802)
| spl0_17
| ~ spl0_124 ),
inference(resolution,[],[f792,f258]) ).
fof(f258,plain,
( ~ c2_1(a802)
| spl0_17 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f792,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| c3_1(X0) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f1106,plain,
( ~ spl0_22
| spl0_18
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1097,f856,f851,f261,f281]) ).
fof(f281,plain,
( spl0_22
<=> c1_1(a763) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f261,plain,
( spl0_18
<=> c2_1(a763) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1097,plain,
( ~ c1_1(a763)
| spl0_18
| ~ spl0_138
| ~ spl0_139 ),
inference(resolution,[],[f1088,f263]) ).
fof(f263,plain,
( ~ c2_1(a763)
| spl0_18 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f1088,plain,
( ! [X1] :
( c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_138
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f852,f857]) ).
fof(f1103,plain,
( spl0_75
| ~ spl0_81
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| spl0_75
| ~ spl0_81
| ~ spl0_138
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f1096,f578]) ).
fof(f1096,plain,
( ~ c1_1(a775)
| spl0_75
| ~ spl0_138
| ~ spl0_139 ),
inference(resolution,[],[f1088,f548]) ).
fof(f1090,plain,
( ~ spl0_85
| spl0_79
| spl0_72
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1089,f771,f531,f566,f596]) ).
fof(f596,plain,
( spl0_85
<=> c3_1(a746) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f566,plain,
( spl0_79
<=> c0_1(a746) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f531,plain,
( spl0_72
<=> c2_1(a746) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1089,plain,
( c0_1(a746)
| ~ c3_1(a746)
| spl0_72
| ~ spl0_119 ),
inference(resolution,[],[f533,f772]) ).
fof(f533,plain,
( ~ c2_1(a746)
| spl0_72 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f1087,plain,
( ~ spl0_108
| ~ spl0_109
| ~ spl0_128
| ~ spl0_139
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1086,plain,
( $false
| ~ spl0_108
| ~ spl0_109
| ~ spl0_128
| ~ spl0_139
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f1081,f713]) ).
fof(f1081,plain,
( ~ c3_1(a730)
| ~ spl0_109
| ~ spl0_128
| ~ spl0_139
| ~ spl0_147 ),
inference(resolution,[],[f1074,f718]) ).
fof(f1074,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_128
| ~ spl0_139
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f813,f1066]) ).
fof(f1066,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_139
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f896,f857]) ).
fof(f1064,plain,
( spl0_99
| ~ spl0_100
| ~ spl0_101
| ~ spl0_126
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f1063]) ).
fof(f1063,plain,
( $false
| spl0_99
| ~ spl0_100
| ~ spl0_101
| ~ spl0_126
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f1062,f1008]) ).
fof(f1008,plain,
( ~ c1_1(a764)
| spl0_99
| ~ spl0_101
| ~ spl0_126 ),
inference(subsumption_resolution,[],[f1004,f668]) ).
fof(f668,plain,
( ~ c3_1(a764)
| spl0_99 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f666,plain,
( spl0_99
<=> c3_1(a764) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1004,plain,
( c3_1(a764)
| ~ c1_1(a764)
| ~ spl0_101
| ~ spl0_126 ),
inference(resolution,[],[f805,f678]) ).
fof(f678,plain,
( c0_1(a764)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl0_101
<=> c0_1(a764) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1062,plain,
( c1_1(a764)
| spl0_99
| ~ spl0_100
| ~ spl0_141 ),
inference(subsumption_resolution,[],[f1057,f668]) ).
fof(f1057,plain,
( c3_1(a764)
| c1_1(a764)
| ~ spl0_100
| ~ spl0_141 ),
inference(resolution,[],[f867,f673]) ).
fof(f673,plain,
( c2_1(a764)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f671,plain,
( spl0_100
<=> c2_1(a764) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1049,plain,
( ~ spl0_111
| ~ spl0_113
| ~ spl0_139
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1048,plain,
( $false
| ~ spl0_111
| ~ spl0_113
| ~ spl0_139
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f1040,f738]) ).
fof(f1040,plain,
( ~ c0_1(a750)
| ~ spl0_111
| ~ spl0_139
| ~ spl0_147 ),
inference(resolution,[],[f1039,f728]) ).
fof(f1039,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_139
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f896,f857]) ).
fof(f1038,plain,
( spl0_151
| ~ spl0_111
| ~ spl0_113
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1037,f804,f736,f726,f1032]) ).
fof(f1037,plain,
( c3_1(a750)
| ~ spl0_111
| ~ spl0_113
| ~ spl0_126 ),
inference(subsumption_resolution,[],[f1036,f728]) ).
fof(f1036,plain,
( c3_1(a750)
| ~ c1_1(a750)
| ~ spl0_113
| ~ spl0_126 ),
inference(resolution,[],[f738,f805]) ).
fof(f1025,plain,
( spl0_77
| spl0_70
| ~ spl0_87
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1024,f841,f606,f521,f556]) ).
fof(f1024,plain,
( c0_1(a777)
| spl0_70
| ~ spl0_87
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f1012,f523]) ).
fof(f1012,plain,
( c0_1(a777)
| c3_1(a777)
| ~ spl0_87
| ~ spl0_135 ),
inference(resolution,[],[f842,f608]) ).
fof(f985,plain,
( ~ spl0_150
| spl0_93
| ~ spl0_96
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f967,f856,f651,f636,f982]) ).
fof(f967,plain,
( c2_1(a731)
| ~ c0_1(a731)
| ~ spl0_96
| ~ spl0_139 ),
inference(resolution,[],[f857,f653]) ).
fof(f975,plain,
( ~ spl0_28
| spl0_18
| ~ spl0_22
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f969,f856,f281,f261,f311]) ).
fof(f311,plain,
( spl0_28
<=> c0_1(a763) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f969,plain,
( ~ c0_1(a763)
| spl0_18
| ~ spl0_22
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f964,f263]) ).
fof(f964,plain,
( c2_1(a763)
| ~ c0_1(a763)
| ~ spl0_22
| ~ spl0_139 ),
inference(resolution,[],[f857,f283]) ).
fof(f283,plain,
( c1_1(a763)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f974,plain,
( spl0_93
| ~ spl0_96
| ~ spl0_97
| ~ spl0_119
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f973,plain,
( $false
| spl0_93
| ~ spl0_96
| ~ spl0_97
| ~ spl0_119
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f972,f920]) ).
fof(f920,plain,
( c0_1(a731)
| spl0_93
| ~ spl0_97
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f917,f658]) ).
fof(f917,plain,
( c0_1(a731)
| ~ c3_1(a731)
| spl0_93
| ~ spl0_119 ),
inference(resolution,[],[f772,f638]) ).
fof(f972,plain,
( ~ c0_1(a731)
| spl0_93
| ~ spl0_96
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f967,f638]) ).
fof(f949,plain,
( spl0_12
| spl0_16
| spl0_21
| ~ spl0_119
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f948,plain,
( $false
| spl0_12
| spl0_16
| spl0_21
| ~ spl0_119
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f947,f233]) ).
fof(f947,plain,
( c1_1(a748)
| spl0_16
| spl0_21
| ~ spl0_119
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f941,f278]) ).
fof(f941,plain,
( c0_1(a748)
| c1_1(a748)
| spl0_16
| spl0_21
| ~ spl0_119
| ~ spl0_131 ),
inference(resolution,[],[f825,f921]) ).
fof(f921,plain,
( ~ c3_1(a748)
| spl0_16
| spl0_21
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f918,f278]) ).
fof(f918,plain,
( c0_1(a748)
| ~ c3_1(a748)
| spl0_16
| ~ spl0_119 ),
inference(resolution,[],[f772,f253]) ).
fof(f946,plain,
( spl0_104
| spl0_106
| spl0_107
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f945,plain,
( $false
| spl0_104
| spl0_106
| spl0_107
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f944,f693]) ).
fof(f944,plain,
( c1_1(a749)
| spl0_106
| spl0_107
| ~ spl0_131 ),
inference(subsumption_resolution,[],[f940,f708]) ).
fof(f940,plain,
( c0_1(a749)
| c1_1(a749)
| spl0_106
| ~ spl0_131 ),
inference(resolution,[],[f825,f703]) ).
fof(f703,plain,
( ~ c3_1(a749)
| spl0_106 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f701,plain,
( spl0_106
<=> c3_1(a749) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f933,plain,
( spl0_92
| spl0_94
| ~ spl0_95
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f932,plain,
( $false
| spl0_92
| spl0_94
| ~ spl0_95
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f931,f648]) ).
fof(f931,plain,
( ~ c1_1(a734)
| spl0_92
| spl0_94
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f926,f643]) ).
fof(f926,plain,
( c0_1(a734)
| ~ c1_1(a734)
| spl0_92
| ~ spl0_127 ),
inference(resolution,[],[f809,f633]) ).
fof(f911,plain,
( spl0_148
| spl0_137
| spl0_121
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f175,f177,f779,f848,f909]) ).
fof(f177,plain,
( spl0_1
<=> ndr1_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X0)
| c1_1(X1)
| c2_1(X0)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f907,plain,
( spl0_130
| spl0_135
| spl0_147
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f168,f177,f895,f841,f820]) ).
fof(f168,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0)
| c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f906,plain,
( spl0_124
| spl0_141
| spl0_147
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f173,f177,f895,f866,f791]) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0)
| c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f904,plain,
( spl0_141
| spl0_119
| spl0_139
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f170,f177,f856,f771,f866]) ).
fof(f170,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X0)
| c1_1(X1)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f903,plain,
( spl0_137
| spl0_119
| spl0_120
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f174,f177,f775,f771,f848]) ).
fof(f174,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| c2_1(X2)
| c0_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f902,plain,
( spl0_131
| spl0_139
| spl0_136
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f171,f177,f844,f856,f824]) ).
fof(f171,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0)
| c1_1(X2)
| c3_1(X2)
| c2_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f901,plain,
( spl0_119
| spl0_143
| spl0_142
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f172,f177,f869,f873,f771]) ).
fof(f172,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| c2_1(X0)
| c2_1(X2)
| c0_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f900,plain,
( spl0_141
| spl0_128
| spl0_114
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f161,f177,f741,f812,f866]) ).
fof(f741,plain,
( spl0_114
<=> hskp5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f161,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp5
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0)
| c1_1(X1)
| c1_1(X0)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f898,plain,
( spl0_138
| spl0_127
| spl0_114
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f152,f177,f741,f808,f851]) ).
fof(f152,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp5
| ~ c1_1(X0)
| ~ c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f893,plain,
( spl0_122
| spl0_138
| spl0_103
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f150,f177,f686,f851,f783]) ).
fof(f686,plain,
( spl0_103
<=> hskp0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f150,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp0
| ~ c1_1(X0)
| ~ c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| c0_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f892,plain,
( spl0_146
| spl0_142
| spl0_102
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f160,f177,f681,f869,f890]) ).
fof(f681,plain,
( spl0_102
<=> hskp11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp11
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| c1_1(X1)
| c2_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f888,plain,
( spl0_138
| spl0_142
| spl0_102
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f157,f177,f681,f869,f851]) ).
fof(f157,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp11
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f887,plain,
( spl0_118
| spl0_125
| spl0_98
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f166,f177,f661,f796,f767]) ).
fof(f661,plain,
( spl0_98
<=> hskp16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f166,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp16
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f882,plain,
( spl0_118
| spl0_126
| spl0_91
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f167,f177,f626,f804,f767]) ).
fof(f626,plain,
( spl0_91
<=> hskp1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f167,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp1
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f881,plain,
( spl0_131
| spl0_119
| spl0_68
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f146,f177,f511,f771,f824]) ).
fof(f511,plain,
( spl0_68
<=> hskp2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f146,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp2
| ~ c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f880,plain,
( spl0_130
| spl0_128
| spl0_66
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f149,f177,f501,f812,f820]) ).
fof(f501,plain,
( spl0_66
<=> hskp25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f149,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp25
| ~ c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0)
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f879,plain,
( spl0_135
| spl0_144
| spl0_65
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f151,f177,f496,f877,f841]) ).
fof(f496,plain,
( spl0_65
<=> hskp7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f151,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp7
| ~ c3_1(X1)
| ~ c2_1(X0)
| c1_1(X1)
| c3_1(X0)
| c0_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f875,plain,
( spl0_140
| spl0_143
| spl0_68
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f159,f177,f511,f873,f861]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp2
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f864,plain,
( spl0_129
| spl0_135
| spl0_30
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f148,f177,f321,f841,f816]) ).
fof(f321,plain,
( spl0_30
<=> hskp8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f148,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp8
| ~ c2_1(X0)
| c3_1(X0)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f863,plain,
( spl0_140
| spl0_118
| spl0_37
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f165,f177,f356,f767,f861]) ).
fof(f356,plain,
( spl0_37
<=> hskp26 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f165,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp26
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f859,plain,
( spl0_131
| spl0_123
| spl0_36
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f147,f177,f351,f787,f824]) ).
fof(f351,plain,
( spl0_36
<=> hskp3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f147,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp3
| ~ c1_1(X0)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| c2_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f858,plain,
( spl0_139
| spl0_127
| spl0_33
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f158,f177,f336,f808,f856]) ).
fof(f336,plain,
( spl0_33
<=> hskp13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f158,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp13
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0)
| c3_1(X1)
| c2_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f854,plain,
( spl0_135
| spl0_123
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f153,f177,f181,f787,f841]) ).
fof(f181,plain,
( spl0_2
<=> hskp14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f153,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp14
| ~ c1_1(X0)
| ~ c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f853,plain,
( spl0_137
| spl0_138
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f156,f177,f196,f851,f848]) ).
fof(f196,plain,
( spl0_5
<=> hskp10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f156,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp10
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f846,plain,
( spl0_135
| spl0_136
| spl0_8
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f164,f177,f211,f844,f841]) ).
fof(f211,plain,
( spl0_8
<=> hskp15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f164,axiom,
! [X0,X1] :
( ~ ndr1_0
| hskp15
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f831,plain,
( spl0_119
| spl0_110
| spl0_102
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f129,f177,f681,f721,f771]) ).
fof(f721,plain,
( spl0_110
<=> hskp27 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f129,axiom,
! [X0] :
( ~ ndr1_0
| hskp11
| hskp27
| ~ c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f826,plain,
( spl0_131
| spl0_114
| spl0_90
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f124,f177,f621,f741,f824]) ).
fof(f621,plain,
( spl0_90
<=> hskp4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f124,axiom,
! [X0] :
( ~ ndr1_0
| hskp4
| hskp5
| c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f822,plain,
( spl0_130
| spl0_103
| spl0_91
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f123,f177,f626,f686,f820]) ).
fof(f123,axiom,
! [X0] :
( ~ ndr1_0
| hskp1
| hskp0
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f818,plain,
( spl0_129
| spl0_114
| spl0_64
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f125,f177,f491,f741,f816]) ).
fof(f491,plain,
( spl0_64
<=> hskp9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f125,axiom,
! [X0] :
( ~ ndr1_0
| hskp9
| hskp5
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f814,plain,
( spl0_128
| spl0_110
| spl0_62
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f139,f177,f481,f721,f812]) ).
fof(f481,plain,
( spl0_62
<=> hskp19 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f139,axiom,
! [X0] :
( ~ ndr1_0
| hskp19
| hskp27
| ~ c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f810,plain,
( spl0_127
| spl0_103
| spl0_64
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f133,f177,f491,f686,f808]) ).
fof(f133,axiom,
! [X0] :
( ~ ndr1_0
| hskp9
| hskp0
| ~ c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f806,plain,
( spl0_126
| spl0_102
| spl0_63
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f141,f177,f486,f681,f804]) ).
fof(f486,plain,
( spl0_63
<=> hskp18 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f141,axiom,
! [X0] :
( ~ ndr1_0
| hskp18
| hskp11
| ~ c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f802,plain,
( spl0_122
| spl0_91
| spl0_68
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f128,f177,f511,f626,f783]) ).
fof(f128,axiom,
! [X0] :
( ~ ndr1_0
| hskp2
| hskp1
| ~ c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f801,plain,
( spl0_119
| spl0_90
| spl0_67
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f132,f177,f506,f621,f771]) ).
fof(f506,plain,
( spl0_67
<=> hskp6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f132,axiom,
! [X0] :
( ~ ndr1_0
| hskp6
| hskp4
| ~ c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f800,plain,
( spl0_124
| spl0_66
| spl0_64
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f135,f177,f491,f501,f791]) ).
fof(f135,axiom,
! [X0] :
( ~ ndr1_0
| hskp9
| hskp25
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f799,plain,
( spl0_119
| spl0_66
| spl0_67
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f130,f177,f506,f501,f771]) ).
fof(f130,axiom,
! [X0] :
( ~ ndr1_0
| hskp6
| hskp25
| ~ c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f793,plain,
( spl0_124
| spl0_98
| spl0_36
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f136,f177,f351,f661,f791]) ).
fof(f136,axiom,
! [X0] :
( ~ ndr1_0
| hskp3
| hskp16
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f781,plain,
( spl0_121
| spl0_114
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f140,f177,f191,f741,f779]) ).
fof(f191,plain,
( spl0_4
<=> hskp20 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f140,axiom,
! [X0] :
( ~ ndr1_0
| hskp20
| hskp5
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f769,plain,
( spl0_118
| spl0_35
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f143,f177,f346,f767]) ).
fof(f346,plain,
( spl0_35
<=> hskp21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f143,axiom,
! [X0] :
( ~ ndr1_0
| hskp21
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f765,plain,
( spl0_114
| spl0_103
| spl0_62 ),
inference(avatar_split_clause,[],[f34,f481,f686,f741]) ).
fof(f34,axiom,
( hskp19
| hskp0
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f764,plain,
( spl0_91
| spl0_90
| spl0_65 ),
inference(avatar_split_clause,[],[f35,f496,f621,f626]) ).
fof(f35,axiom,
( hskp7
| hskp4
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f761,plain,
( spl0_33
| spl0_34
| spl0_7 ),
inference(avatar_split_clause,[],[f32,f206,f341,f336]) ).
fof(f341,plain,
( spl0_34
<=> hskp23 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f206,plain,
( spl0_7
<=> hskp24 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f32,axiom,
( hskp24
| hskp23
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f760,plain,
( spl0_103
| spl0_30 ),
inference(avatar_split_clause,[],[f1,f321,f686]) ).
fof(f1,axiom,
( hskp8
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f759,plain,
( spl0_117
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f73,f741,f756]) ).
fof(f73,axiom,
( ~ hskp5
| c2_1(a735) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f754,plain,
( spl0_116
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f74,f741,f751]) ).
fof(f74,axiom,
( ~ hskp5
| c3_1(a735) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f749,plain,
( ~ spl0_115
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f113,f741,f746]) ).
fof(f113,axiom,
( ~ hskp5
| ~ c0_1(a735) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f744,plain,
( spl0_1
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f25,f741,f177]) ).
fof(f25,axiom,
( ~ hskp5
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f739,plain,
( spl0_113
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f39,f721,f736]) ).
fof(f39,axiom,
( ~ hskp27
| c0_1(a750) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f734,plain,
( spl0_112
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f41,f721,f731]) ).
fof(f41,axiom,
( ~ hskp27
| c2_1(a750) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f729,plain,
( spl0_111
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f40,f721,f726]) ).
fof(f40,axiom,
( ~ hskp27
| c1_1(a750) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f719,plain,
( spl0_109
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f79,f686,f716]) ).
fof(f79,axiom,
( ~ hskp0
| c0_1(a730) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f714,plain,
( spl0_108
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f80,f686,f711]) ).
fof(f80,axiom,
( ~ hskp0
| c3_1(a730) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f709,plain,
( ~ spl0_107
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f100,f681,f706]) ).
fof(f100,axiom,
( ~ hskp11
| ~ c0_1(a749) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f704,plain,
( ~ spl0_106
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f102,f681,f701]) ).
fof(f102,axiom,
( ~ hskp11
| ~ c3_1(a749) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f699,plain,
( ~ spl0_105
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f122,f686,f696]) ).
fof(f122,axiom,
( ~ hskp0
| ~ c1_1(a730) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f694,plain,
( ~ spl0_104
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f101,f681,f691]) ).
fof(f101,axiom,
( ~ hskp11
| ~ c1_1(a749) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f689,plain,
( spl0_1
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f30,f686,f177]) ).
fof(f30,axiom,
( ~ hskp0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f679,plain,
( spl0_101
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f59,f661,f676]) ).
fof(f59,axiom,
( ~ hskp16
| c0_1(a764) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f674,plain,
( spl0_100
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f60,f661,f671]) ).
fof(f60,axiom,
( ~ hskp16
| c2_1(a764) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f669,plain,
( ~ spl0_99
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f94,f661,f666]) ).
fof(f94,axiom,
( ~ hskp16
| ~ c3_1(a764) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f659,plain,
( spl0_97
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f78,f626,f656]) ).
fof(f78,axiom,
( ~ hskp1
| c3_1(a731) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f654,plain,
( spl0_96
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f77,f626,f651]) ).
fof(f77,axiom,
( ~ hskp1
| c1_1(a731) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f649,plain,
( spl0_95
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f75,f621,f646]) ).
fof(f75,axiom,
( ~ hskp4
| c1_1(a734) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f644,plain,
( ~ spl0_94
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f114,f621,f641]) ).
fof(f114,axiom,
( ~ hskp4
| ~ c0_1(a734) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f639,plain,
( ~ spl0_93
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f121,f626,f636]) ).
fof(f121,axiom,
( ~ hskp1
| ~ c2_1(a731) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f634,plain,
( ~ spl0_92
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f115,f621,f631]) ).
fof(f115,axiom,
( ~ hskp4
| ~ c3_1(a734) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f619,plain,
( spl0_89
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f45,f501,f616]) ).
fof(f45,axiom,
( ~ hskp25
| c0_1(a729) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f614,plain,
( spl0_88
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f46,f501,f611]) ).
fof(f46,axiom,
( ~ hskp25
| c2_1(a729) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f609,plain,
( spl0_87
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f55,f481,f606]) ).
fof(f55,axiom,
( ~ hskp19
| c2_1(a777) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f604,plain,
( spl0_86
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f47,f501,f601]) ).
fof(f47,axiom,
( ~ hskp25
| c3_1(a729) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f599,plain,
( spl0_85
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f68,f491,f596]) ).
fof(f68,axiom,
( ~ hskp9
| c3_1(a746) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f594,plain,
( spl0_84
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f71,f496,f591]) ).
fof(f71,axiom,
( ~ hskp7
| c3_1(a741) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f589,plain,
( spl0_83
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f72,f506,f586]) ).
fof(f72,axiom,
( ~ hskp6
| c1_1(a738) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f584,plain,
( spl0_82
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f70,f496,f581]) ).
fof(f70,axiom,
( ~ hskp7
| c1_1(a741) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f579,plain,
( spl0_81
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f56,f486,f576]) ).
fof(f56,axiom,
( ~ hskp18
| c1_1(a775) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f574,plain,
( ~ spl0_80
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f111,f506,f571]) ).
fof(f111,axiom,
( ~ hskp6
| ~ c0_1(a738) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f569,plain,
( ~ spl0_79
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f106,f491,f566]) ).
fof(f106,axiom,
( ~ hskp9
| ~ c0_1(a746) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f564,plain,
( ~ spl0_78
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f110,f496,f561]) ).
fof(f110,axiom,
( ~ hskp7
| ~ c0_1(a741) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f559,plain,
( ~ spl0_77
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f89,f481,f556]) ).
fof(f89,axiom,
( ~ hskp19
| ~ c0_1(a777) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f554,plain,
( ~ spl0_76
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f118,f511,f551]) ).
fof(f118,axiom,
( ~ hskp2
| ~ c0_1(a732) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f549,plain,
( ~ spl0_75
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f91,f486,f546]) ).
fof(f91,axiom,
( ~ hskp18
| ~ c2_1(a775) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f544,plain,
( ~ spl0_74
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f119,f511,f541]) ).
fof(f119,axiom,
( ~ hskp2
| ~ c2_1(a732) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f539,plain,
( ~ spl0_73
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f112,f506,f536]) ).
fof(f112,axiom,
( ~ hskp6
| ~ c2_1(a738) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f534,plain,
( ~ spl0_72
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f107,f491,f531]) ).
fof(f107,axiom,
( ~ hskp9
| ~ c2_1(a746) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f529,plain,
( ~ spl0_71
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f92,f486,f526]) ).
fof(f92,axiom,
( ~ hskp18
| ~ c3_1(a775) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f524,plain,
( ~ spl0_70
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f90,f481,f521]) ).
fof(f90,axiom,
( ~ hskp19
| ~ c3_1(a777) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f519,plain,
( ~ spl0_69
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f120,f511,f516]) ).
fof(f120,axiom,
( ~ hskp2
| ~ c3_1(a732) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f484,plain,
( spl0_1
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f11,f481,f177]) ).
fof(f11,axiom,
( ~ hskp19
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f479,plain,
( spl0_61
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f49,f341,f476]) ).
fof(f49,axiom,
( ~ hskp23
| c0_1(a798) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f474,plain,
( spl0_60
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f52,f346,f471]) ).
fof(f52,axiom,
( ~ hskp21
| c0_1(a793) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f464,plain,
( spl0_58
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f76,f351,f461]) ).
fof(f76,axiom,
( ~ hskp3
| c2_1(a733) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f459,plain,
( spl0_57
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f43,f356,f456]) ).
fof(f43,axiom,
( ~ hskp26
| c2_1(a737) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f449,plain,
( spl0_55
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f64,f336,f446]) ).
fof(f64,axiom,
( ~ hskp13
| c2_1(a759) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f439,plain,
( spl0_53
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f53,f346,f436]) ).
fof(f53,axiom,
( ~ hskp21
| c3_1(a793) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f434,plain,
( spl0_52
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f65,f336,f431]) ).
fof(f65,axiom,
( ~ hskp13
| c3_1(a759) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f429,plain,
( spl0_51
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f44,f356,f426]) ).
fof(f44,axiom,
( ~ hskp26
| c3_1(a737) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f424,plain,
( spl0_50
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f69,f321,f421]) ).
fof(f69,axiom,
( ~ hskp8
| c3_1(a744) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f419,plain,
( spl0_49
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f50,f341,f416]) ).
fof(f50,axiom,
( ~ hskp23
| c1_1(a798) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f409,plain,
( spl0_47
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f42,f356,f406]) ).
fof(f42,axiom,
( ~ hskp26
| c1_1(a737) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f399,plain,
( ~ spl0_45
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f108,f321,f396]) ).
fof(f108,axiom,
( ~ hskp8
| ~ c0_1(a744) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f389,plain,
( ~ spl0_43
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f116,f351,f386]) ).
fof(f116,axiom,
( ~ hskp3
| ~ c0_1(a733) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f384,plain,
( ~ spl0_42
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f86,f346,f381]) ).
fof(f86,axiom,
( ~ hskp21
| ~ c2_1(a793) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f379,plain,
( ~ spl0_41
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f83,f341,f376]) ).
fof(f83,axiom,
( ~ hskp23
| ~ c3_1(a798) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f374,plain,
( ~ spl0_40
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f98,f336,f371]) ).
fof(f98,axiom,
( ~ hskp13
| ~ c1_1(a759) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f369,plain,
( ~ spl0_39
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f109,f321,f366]) ).
fof(f109,axiom,
( ~ hskp8
| ~ c1_1(a744) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f364,plain,
( ~ spl0_38
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f117,f351,f361]) ).
fof(f117,axiom,
( ~ hskp3
| ~ c1_1(a733) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f319,plain,
( spl0_29
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f63,f181,f316]) ).
fof(f63,axiom,
( ~ hskp14
| c0_1(a762) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f314,plain,
( spl0_28
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f61,f211,f311]) ).
fof(f61,axiom,
( ~ hskp15
| c0_1(a763) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f309,plain,
( spl0_27
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f48,f206,f306]) ).
fof(f48,axiom,
( ~ hskp24
| c0_1(a802) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f304,plain,
( spl0_26
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f54,f191,f301]) ).
fof(f54,axiom,
( ~ hskp20
| c2_1(a779) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f284,plain,
( spl0_22
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f62,f211,f281]) ).
fof(f62,axiom,
( ~ hskp15
| c1_1(a763) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f279,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f103,f196,f276]) ).
fof(f103,axiom,
( ~ hskp10
| ~ c0_1(a748) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f269,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f97,f181,f266]) ).
fof(f97,axiom,
( ~ hskp14
| ~ c2_1(a762) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f264,plain,
( ~ spl0_18
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f95,f211,f261]) ).
fof(f95,axiom,
( ~ hskp15
| ~ c2_1(a763) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f259,plain,
( ~ spl0_17
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f81,f206,f256]) ).
fof(f81,axiom,
( ~ hskp24
| ~ c2_1(a802) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f254,plain,
( ~ spl0_16
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f105,f196,f251]) ).
fof(f105,axiom,
( ~ hskp10
| ~ c2_1(a748) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f249,plain,
( ~ spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f88,f191,f246]) ).
fof(f88,axiom,
( ~ hskp20
| ~ c3_1(a779) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f244,plain,
( ~ spl0_14
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f82,f206,f241]) ).
fof(f82,axiom,
( ~ hskp24
| ~ c3_1(a802) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f234,plain,
( ~ spl0_12
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f104,f196,f231]) ).
fof(f104,axiom,
( ~ hskp10
| ~ c1_1(a748) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f229,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f96,f181,f226]) ).
fof(f96,axiom,
( ~ hskp14
| ~ c1_1(a762) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f224,plain,
( ~ spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f87,f191,f221]) ).
fof(f87,axiom,
( ~ hskp20
| ~ c1_1(a779) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN451-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 02:16:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (27079)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (27083)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (27082)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (27080)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (27081)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)
% 0.14/0.38 % (27085)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)
% 0.14/0.38 % (27084)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 Detected minimum model sizes of [1]
% 0.14/0.39 Detected maximum model sizes of [29]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 Detected minimum model sizes of [1]
% 0.14/0.39 Detected maximum model sizes of [29]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 Detected minimum model sizes of [1]
% 0.14/0.39 Detected maximum model sizes of [29]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 Detected minimum model sizes of [1]
% 0.14/0.39 Detected maximum model sizes of [29]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.44 % (27084)First to succeed.
% 0.21/0.45 % (27084)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (27084)------------------------------
% 0.21/0.45 % (27084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (27084)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (27084)Memory used [KB]: 2020
% 0.21/0.45 % (27084)Time elapsed: 0.064 s
% 0.21/0.45 % (27084)Instructions burned: 104 (million)
% 0.21/0.45 % (27084)------------------------------
% 0.21/0.45 % (27084)------------------------------
% 0.21/0.45 % (27078)Success in time 0.085 s
%------------------------------------------------------------------------------