%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:51:44 PM UTC 2026
% Result : Unsatisfiable 234.80s 35.70s
% Output : Proof 33.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 285
% Syntax : Number of formulae : 3084 ( 49 unt; 256 def)
% Number of atoms : 10332 (2922 equ)
% Maximal formula atoms : 132 ( 3 avg)
% Number of connectives : 12745 (5497 ~;6458 |; 534 &)
% ( 256 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 382 ( 380 usr; 381 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sdef67,definition,
( spl67
<=> def0 ),
introduced(definition,[new_symbols(naming,[spl67])],[avatar_definition]) ).
cnf(p172,plain,
( ~ spl67
| def0 ),
inference(avatar_component_clause,[status(thm)],[sdef67]) ).
fof(sdef64,definition,
( spl64
<=> ~ def0 ),
introduced(definition,[new_symbols(naming,[spl64])],[avatar_definition]) ).
cnf(p167,plain,
( ~ spl64
| ~ def0 ),
inference(avatar_component_clause,[status(thm)],[sdef64]) ).
cnf(p776,plain,
( ~ spl67
| ~ spl64
| $false ),
inference(resolution,[status(thm)],[p172,p167]) ).
cnf(sct0,plain,
( ~ spl67
| ~ spl64 ),
inference(avatar_contradiction_clause,[status(thm)],[p776]) ).
fof(sdef70,definition,
( spl70
<=> def1 ),
introduced(definition,[new_symbols(naming,[spl70])],[avatar_definition]) ).
cnf(p178,plain,
( ~ spl70
| def1 ),
inference(avatar_component_clause,[status(thm)],[sdef70]) ).
fof(sdef68,definition,
( spl68
<=> ~ def1 ),
introduced(definition,[new_symbols(naming,[spl68])],[avatar_definition]) ).
cnf(p174,plain,
( ~ spl68
| ~ def1 ),
inference(avatar_component_clause,[status(thm)],[sdef68]) ).
cnf(p777,plain,
( ~ spl70
| ~ spl68
| $false ),
inference(resolution,[status(thm)],[p178,p174]) ).
cnf(sct1,plain,
( ~ spl70
| ~ spl68 ),
inference(avatar_contradiction_clause,[status(thm)],[p777]) ).
fof(sdef75,definition,
( spl75
<=> def3 ),
introduced(definition,[new_symbols(naming,[spl75])],[avatar_definition]) ).
cnf(p188,plain,
( ~ spl75
| def3 ),
inference(avatar_component_clause,[status(thm)],[sdef75]) ).
fof(sdef74,definition,
( spl74
<=> ~ def3 ),
introduced(definition,[new_symbols(naming,[spl74])],[avatar_definition]) ).
cnf(p186,plain,
( ~ spl74
| ~ def3 ),
inference(avatar_component_clause,[status(thm)],[sdef74]) ).
cnf(p779,plain,
( ~ spl75
| ~ spl74
| $false ),
inference(resolution,[status(thm)],[p188,p186]) ).
cnf(sct2,plain,
( ~ spl75
| ~ spl74 ),
inference(avatar_contradiction_clause,[status(thm)],[p779]) ).
fof(sdef78,definition,
( spl78
<=> def4 ),
introduced(definition,[new_symbols(naming,[spl78])],[avatar_definition]) ).
cnf(p194,plain,
( ~ spl78
| def4 ),
inference(avatar_component_clause,[status(thm)],[sdef78]) ).
fof(sdef76,definition,
( spl76
<=> ~ def4 ),
introduced(definition,[new_symbols(naming,[spl76])],[avatar_definition]) ).
cnf(p191,plain,
( ~ spl76
| ~ def4 ),
inference(avatar_component_clause,[status(thm)],[sdef76]) ).
cnf(p782,plain,
( ~ spl78
| ~ spl76
| $false ),
inference(resolution,[status(thm)],[p194,p191]) ).
cnf(sct3,plain,
( ~ spl78
| ~ spl76 ),
inference(avatar_contradiction_clause,[status(thm)],[p782]) ).
fof(sdef81,definition,
( spl81
<=> def5 ),
introduced(definition,[new_symbols(naming,[spl81])],[avatar_definition]) ).
cnf(p201,plain,
( ~ spl81
| def5 ),
inference(avatar_component_clause,[status(thm)],[sdef81]) ).
fof(sdef80,definition,
( spl80
<=> ~ def5 ),
introduced(definition,[new_symbols(naming,[spl80])],[avatar_definition]) ).
cnf(p198,plain,
( ~ spl80
| ~ def5 ),
inference(avatar_component_clause,[status(thm)],[sdef80]) ).
cnf(p783,plain,
( ~ spl81
| ~ spl80
| $false ),
inference(resolution,[status(thm)],[p201,p198]) ).
cnf(sct4,plain,
( ~ spl81
| ~ spl80 ),
inference(avatar_contradiction_clause,[status(thm)],[p783]) ).
fof(sdef84,definition,
( spl84
<=> def6 ),
introduced(definition,[new_symbols(naming,[spl84])],[avatar_definition]) ).
cnf(p206,plain,
( ~ spl84
| def6 ),
inference(avatar_component_clause,[status(thm)],[sdef84]) ).
fof(sdef82,definition,
( spl82
<=> ~ def6 ),
introduced(definition,[new_symbols(naming,[spl82])],[avatar_definition]) ).
cnf(p203,plain,
( ~ spl82
| ~ def6 ),
inference(avatar_component_clause,[status(thm)],[sdef82]) ).
cnf(p788,plain,
( ~ spl84
| ~ spl82
| $false ),
inference(resolution,[status(thm)],[p206,p203]) ).
cnf(sct5,plain,
( ~ spl84
| ~ spl82 ),
inference(avatar_contradiction_clause,[status(thm)],[p788]) ).
fof(sdef87,definition,
( spl87
<=> def7 ),
introduced(definition,[new_symbols(naming,[spl87])],[avatar_definition]) ).
cnf(p213,plain,
( ~ spl87
| def7 ),
inference(avatar_component_clause,[status(thm)],[sdef87]) ).
fof(sdef86,definition,
( spl86
<=> ~ def7 ),
introduced(definition,[new_symbols(naming,[spl86])],[avatar_definition]) ).
cnf(p210,plain,
( ~ spl86
| ~ def7 ),
inference(avatar_component_clause,[status(thm)],[sdef86]) ).
cnf(p789,plain,
( ~ spl87
| ~ spl86
| $false ),
inference(resolution,[status(thm)],[p213,p210]) ).
cnf(sct6,plain,
( ~ spl87
| ~ spl86 ),
inference(avatar_contradiction_clause,[status(thm)],[p789]) ).
fof(sdef90,definition,
( spl90
<=> def8 ),
introduced(definition,[new_symbols(naming,[spl90])],[avatar_definition]) ).
cnf(p218,plain,
( ~ spl90
| def8 ),
inference(avatar_component_clause,[status(thm)],[sdef90]) ).
fof(sdef88,definition,
( spl88
<=> ~ def8 ),
introduced(definition,[new_symbols(naming,[spl88])],[avatar_definition]) ).
cnf(p215,plain,
( ~ spl88
| ~ def8 ),
inference(avatar_component_clause,[status(thm)],[sdef88]) ).
cnf(p796,plain,
( ~ spl90
| ~ spl88
| $false ),
inference(resolution,[status(thm)],[p218,p215]) ).
cnf(sct7,plain,
( ~ spl90
| ~ spl88 ),
inference(avatar_contradiction_clause,[status(thm)],[p796]) ).
fof(sdef93,definition,
( spl93
<=> def9 ),
introduced(definition,[new_symbols(naming,[spl93])],[avatar_definition]) ).
cnf(p225,plain,
( ~ spl93
| def9 ),
inference(avatar_component_clause,[status(thm)],[sdef93]) ).
fof(sdef92,definition,
( spl92
<=> ~ def9 ),
introduced(definition,[new_symbols(naming,[spl92])],[avatar_definition]) ).
cnf(p222,plain,
( ~ spl92
| ~ def9 ),
inference(avatar_component_clause,[status(thm)],[sdef92]) ).
cnf(p797,plain,
( ~ spl93
| ~ spl92
| $false ),
inference(resolution,[status(thm)],[p225,p222]) ).
cnf(sct8,plain,
( ~ spl93
| ~ spl92 ),
inference(avatar_contradiction_clause,[status(thm)],[p797]) ).
fof(sdef96,definition,
( spl96
<=> def10 ),
introduced(definition,[new_symbols(naming,[spl96])],[avatar_definition]) ).
cnf(p230,plain,
( ~ spl96
| def10 ),
inference(avatar_component_clause,[status(thm)],[sdef96]) ).
fof(sdef94,definition,
( spl94
<=> ~ def10 ),
introduced(definition,[new_symbols(naming,[spl94])],[avatar_definition]) ).
cnf(p227,plain,
( ~ spl94
| ~ def10 ),
inference(avatar_component_clause,[status(thm)],[sdef94]) ).
cnf(p798,plain,
( ~ spl96
| ~ spl94
| $false ),
inference(resolution,[status(thm)],[p230,p227]) ).
cnf(sct9,plain,
( ~ spl96
| ~ spl94 ),
inference(avatar_contradiction_clause,[status(thm)],[p798]) ).
fof(sdef98,definition,
( spl98
<=> def11 ),
introduced(definition,[new_symbols(naming,[spl98])],[avatar_definition]) ).
cnf(p236,plain,
( ~ spl98
| def11 ),
inference(avatar_component_clause,[status(thm)],[sdef98]) ).
fof(sdef97,definition,
( spl97
<=> ~ def11 ),
introduced(definition,[new_symbols(naming,[spl97])],[avatar_definition]) ).
cnf(p233,plain,
( ~ spl97
| ~ def11 ),
inference(avatar_component_clause,[status(thm)],[sdef97]) ).
cnf(p799,plain,
( ~ spl98
| ~ spl97
| $false ),
inference(resolution,[status(thm)],[p236,p233]) ).
cnf(sct10,plain,
( ~ spl98
| ~ spl97 ),
inference(avatar_contradiction_clause,[status(thm)],[p799]) ).
fof(sdef101,definition,
( spl101
<=> def12 ),
introduced(definition,[new_symbols(naming,[spl101])],[avatar_definition]) ).
cnf(p241,plain,
( ~ spl101
| def12 ),
inference(avatar_component_clause,[status(thm)],[sdef101]) ).
fof(sdef99,definition,
( spl99
<=> ~ def12 ),
introduced(definition,[new_symbols(naming,[spl99])],[avatar_definition]) ).
cnf(p238,plain,
( ~ spl99
| ~ def12 ),
inference(avatar_component_clause,[status(thm)],[sdef99]) ).
cnf(p802,plain,
( ~ spl101
| ~ spl99
| $false ),
inference(resolution,[status(thm)],[p241,p238]) ).
cnf(sct11,plain,
( ~ spl101
| ~ spl99 ),
inference(avatar_contradiction_clause,[status(thm)],[p802]) ).
fof(sdef104,definition,
( spl104
<=> def13 ),
introduced(definition,[new_symbols(naming,[spl104])],[avatar_definition]) ).
cnf(p248,plain,
( ~ spl104
| def13 ),
inference(avatar_component_clause,[status(thm)],[sdef104]) ).
fof(sdef103,definition,
( spl103
<=> ~ def13 ),
introduced(definition,[new_symbols(naming,[spl103])],[avatar_definition]) ).
cnf(p245,plain,
( ~ spl103
| ~ def13 ),
inference(avatar_component_clause,[status(thm)],[sdef103]) ).
cnf(p803,plain,
( ~ spl104
| ~ spl103
| $false ),
inference(resolution,[status(thm)],[p248,p245]) ).
cnf(sct12,plain,
( ~ spl104
| ~ spl103 ),
inference(avatar_contradiction_clause,[status(thm)],[p803]) ).
fof(sdef107,definition,
( spl107
<=> def14 ),
introduced(definition,[new_symbols(naming,[spl107])],[avatar_definition]) ).
cnf(p253,plain,
( ~ spl107
| def14 ),
inference(avatar_component_clause,[status(thm)],[sdef107]) ).
fof(sdef105,definition,
( spl105
<=> ~ def14 ),
introduced(definition,[new_symbols(naming,[spl105])],[avatar_definition]) ).
cnf(p250,plain,
( ~ spl105
| ~ def14 ),
inference(avatar_component_clause,[status(thm)],[sdef105]) ).
cnf(p808,plain,
( ~ spl107
| ~ spl105
| $false ),
inference(resolution,[status(thm)],[p253,p250]) ).
cnf(sct13,plain,
( ~ spl107
| ~ spl105 ),
inference(avatar_contradiction_clause,[status(thm)],[p808]) ).
fof(sdef110,definition,
( spl110
<=> def15 ),
introduced(definition,[new_symbols(naming,[spl110])],[avatar_definition]) ).
cnf(p260,plain,
( ~ spl110
| def15 ),
inference(avatar_component_clause,[status(thm)],[sdef110]) ).
fof(sdef109,definition,
( spl109
<=> ~ def15 ),
introduced(definition,[new_symbols(naming,[spl109])],[avatar_definition]) ).
cnf(p257,plain,
( ~ spl109
| ~ def15 ),
inference(avatar_component_clause,[status(thm)],[sdef109]) ).
cnf(p809,plain,
( ~ spl110
| ~ spl109
| $false ),
inference(resolution,[status(thm)],[p260,p257]) ).
cnf(sct14,plain,
( ~ spl110
| ~ spl109 ),
inference(avatar_contradiction_clause,[status(thm)],[p809]) ).
fof(sdef113,definition,
( spl113
<=> def16 ),
introduced(definition,[new_symbols(naming,[spl113])],[avatar_definition]) ).
cnf(p265,plain,
( ~ spl113
| def16 ),
inference(avatar_component_clause,[status(thm)],[sdef113]) ).
fof(sdef111,definition,
( spl111
<=> ~ def16 ),
introduced(definition,[new_symbols(naming,[spl111])],[avatar_definition]) ).
cnf(p262,plain,
( ~ spl111
| ~ def16 ),
inference(avatar_component_clause,[status(thm)],[sdef111]) ).
cnf(p816,plain,
( ~ spl113
| ~ spl111
| $false ),
inference(resolution,[status(thm)],[p265,p262]) ).
cnf(sct15,plain,
( ~ spl113
| ~ spl111 ),
inference(avatar_contradiction_clause,[status(thm)],[p816]) ).
fof(sdef116,definition,
( spl116
<=> def17 ),
introduced(definition,[new_symbols(naming,[spl116])],[avatar_definition]) ).
cnf(p272,plain,
( ~ spl116
| def17 ),
inference(avatar_component_clause,[status(thm)],[sdef116]) ).
fof(sdef115,definition,
( spl115
<=> ~ def17 ),
introduced(definition,[new_symbols(naming,[spl115])],[avatar_definition]) ).
cnf(p269,plain,
( ~ spl115
| ~ def17 ),
inference(avatar_component_clause,[status(thm)],[sdef115]) ).
cnf(p817,plain,
( ~ spl116
| ~ spl115
| $false ),
inference(resolution,[status(thm)],[p272,p269]) ).
cnf(sct16,plain,
( ~ spl116
| ~ spl115 ),
inference(avatar_contradiction_clause,[status(thm)],[p817]) ).
fof(sdef119,definition,
( spl119
<=> def18 ),
introduced(definition,[new_symbols(naming,[spl119])],[avatar_definition]) ).
cnf(p277,plain,
( ~ spl119
| def18 ),
inference(avatar_component_clause,[status(thm)],[sdef119]) ).
fof(sdef117,definition,
( spl117
<=> ~ def18 ),
introduced(definition,[new_symbols(naming,[spl117])],[avatar_definition]) ).
cnf(p274,plain,
( ~ spl117
| ~ def18 ),
inference(avatar_component_clause,[status(thm)],[sdef117]) ).
cnf(p818,plain,
( ~ spl119
| ~ spl117
| $false ),
inference(resolution,[status(thm)],[p277,p274]) ).
cnf(sct17,plain,
( ~ spl119
| ~ spl117 ),
inference(avatar_contradiction_clause,[status(thm)],[p818]) ).
fof(sdef121,definition,
( spl121
<=> def19 ),
introduced(definition,[new_symbols(naming,[spl121])],[avatar_definition]) ).
cnf(p283,plain,
( ~ spl121
| def19 ),
inference(avatar_component_clause,[status(thm)],[sdef121]) ).
fof(sdef120,definition,
( spl120
<=> ~ def19 ),
introduced(definition,[new_symbols(naming,[spl120])],[avatar_definition]) ).
cnf(p280,plain,
( ~ spl120
| ~ def19 ),
inference(avatar_component_clause,[status(thm)],[sdef120]) ).
cnf(p819,plain,
( ~ spl121
| ~ spl120
| $false ),
inference(resolution,[status(thm)],[p283,p280]) ).
cnf(sct18,plain,
( ~ spl121
| ~ spl120 ),
inference(avatar_contradiction_clause,[status(thm)],[p819]) ).
fof(sdef124,definition,
( spl124
<=> def20 ),
introduced(definition,[new_symbols(naming,[spl124])],[avatar_definition]) ).
cnf(p288,plain,
( ~ spl124
| def20 ),
inference(avatar_component_clause,[status(thm)],[sdef124]) ).
fof(sdef122,definition,
( spl122
<=> ~ def20 ),
introduced(definition,[new_symbols(naming,[spl122])],[avatar_definition]) ).
cnf(p285,plain,
( ~ spl122
| ~ def20 ),
inference(avatar_component_clause,[status(thm)],[sdef122]) ).
cnf(p822,plain,
( ~ spl124
| ~ spl122
| $false ),
inference(resolution,[status(thm)],[p288,p285]) ).
cnf(sct19,plain,
( ~ spl124
| ~ spl122 ),
inference(avatar_contradiction_clause,[status(thm)],[p822]) ).
fof(sdef127,definition,
( spl127
<=> def21 ),
introduced(definition,[new_symbols(naming,[spl127])],[avatar_definition]) ).
cnf(p295,plain,
( ~ spl127
| def21 ),
inference(avatar_component_clause,[status(thm)],[sdef127]) ).
fof(sdef126,definition,
( spl126
<=> ~ def21 ),
introduced(definition,[new_symbols(naming,[spl126])],[avatar_definition]) ).
cnf(p292,plain,
( ~ spl126
| ~ def21 ),
inference(avatar_component_clause,[status(thm)],[sdef126]) ).
cnf(p823,plain,
( ~ spl127
| ~ spl126
| $false ),
inference(resolution,[status(thm)],[p295,p292]) ).
cnf(sct20,plain,
( ~ spl127
| ~ spl126 ),
inference(avatar_contradiction_clause,[status(thm)],[p823]) ).
fof(sdef130,definition,
( spl130
<=> def22 ),
introduced(definition,[new_symbols(naming,[spl130])],[avatar_definition]) ).
cnf(p300,plain,
( ~ spl130
| def22 ),
inference(avatar_component_clause,[status(thm)],[sdef130]) ).
fof(sdef128,definition,
( spl128
<=> ~ def22 ),
introduced(definition,[new_symbols(naming,[spl128])],[avatar_definition]) ).
cnf(p297,plain,
( ~ spl128
| ~ def22 ),
inference(avatar_component_clause,[status(thm)],[sdef128]) ).
cnf(p828,plain,
( ~ spl130
| ~ spl128
| $false ),
inference(resolution,[status(thm)],[p300,p297]) ).
cnf(sct21,plain,
( ~ spl130
| ~ spl128 ),
inference(avatar_contradiction_clause,[status(thm)],[p828]) ).
fof(sdef133,definition,
( spl133
<=> def23 ),
introduced(definition,[new_symbols(naming,[spl133])],[avatar_definition]) ).
cnf(p307,plain,
( ~ spl133
| def23 ),
inference(avatar_component_clause,[status(thm)],[sdef133]) ).
fof(sdef132,definition,
( spl132
<=> ~ def23 ),
introduced(definition,[new_symbols(naming,[spl132])],[avatar_definition]) ).
cnf(p304,plain,
( ~ spl132
| ~ def23 ),
inference(avatar_component_clause,[status(thm)],[sdef132]) ).
cnf(p829,plain,
( ~ spl133
| ~ spl132
| $false ),
inference(resolution,[status(thm)],[p307,p304]) ).
cnf(sct22,plain,
( ~ spl133
| ~ spl132 ),
inference(avatar_contradiction_clause,[status(thm)],[p829]) ).
fof(sdef136,definition,
( spl136
<=> def24 ),
introduced(definition,[new_symbols(naming,[spl136])],[avatar_definition]) ).
cnf(p312,plain,
( ~ spl136
| def24 ),
inference(avatar_component_clause,[status(thm)],[sdef136]) ).
fof(sdef134,definition,
( spl134
<=> ~ def24 ),
introduced(definition,[new_symbols(naming,[spl134])],[avatar_definition]) ).
cnf(p309,plain,
( ~ spl134
| ~ def24 ),
inference(avatar_component_clause,[status(thm)],[sdef134]) ).
cnf(p836,plain,
( ~ spl136
| ~ spl134
| $false ),
inference(resolution,[status(thm)],[p312,p309]) ).
cnf(sct23,plain,
( ~ spl136
| ~ spl134 ),
inference(avatar_contradiction_clause,[status(thm)],[p836]) ).
fof(sdef139,definition,
( spl139
<=> def25 ),
introduced(definition,[new_symbols(naming,[spl139])],[avatar_definition]) ).
cnf(p319,plain,
( ~ spl139
| def25 ),
inference(avatar_component_clause,[status(thm)],[sdef139]) ).
fof(sdef138,definition,
( spl138
<=> ~ def25 ),
introduced(definition,[new_symbols(naming,[spl138])],[avatar_definition]) ).
cnf(p316,plain,
( ~ spl138
| ~ def25 ),
inference(avatar_component_clause,[status(thm)],[sdef138]) ).
cnf(p837,plain,
( ~ spl139
| ~ spl138
| $false ),
inference(resolution,[status(thm)],[p319,p316]) ).
cnf(sct24,plain,
( ~ spl139
| ~ spl138 ),
inference(avatar_contradiction_clause,[status(thm)],[p837]) ).
fof(sdef142,definition,
( spl142
<=> def26 ),
introduced(definition,[new_symbols(naming,[spl142])],[avatar_definition]) ).
cnf(p324,plain,
( ~ spl142
| def26 ),
inference(avatar_component_clause,[status(thm)],[sdef142]) ).
fof(sdef140,definition,
( spl140
<=> ~ def26 ),
introduced(definition,[new_symbols(naming,[spl140])],[avatar_definition]) ).
cnf(p321,plain,
( ~ spl140
| ~ def26 ),
inference(avatar_component_clause,[status(thm)],[sdef140]) ).
cnf(p838,plain,
( ~ spl142
| ~ spl140
| $false ),
inference(resolution,[status(thm)],[p324,p321]) ).
cnf(sct25,plain,
( ~ spl142
| ~ spl140 ),
inference(avatar_contradiction_clause,[status(thm)],[p838]) ).
fof(sdef144,definition,
( spl144
<=> def27 ),
introduced(definition,[new_symbols(naming,[spl144])],[avatar_definition]) ).
cnf(p330,plain,
( ~ spl144
| def27 ),
inference(avatar_component_clause,[status(thm)],[sdef144]) ).
fof(sdef143,definition,
( spl143
<=> ~ def27 ),
introduced(definition,[new_symbols(naming,[spl143])],[avatar_definition]) ).
cnf(p327,plain,
( ~ spl143
| ~ def27 ),
inference(avatar_component_clause,[status(thm)],[sdef143]) ).
cnf(p839,plain,
( ~ spl144
| ~ spl143
| $false ),
inference(resolution,[status(thm)],[p330,p327]) ).
cnf(sct26,plain,
( ~ spl144
| ~ spl143 ),
inference(avatar_contradiction_clause,[status(thm)],[p839]) ).
fof(sdef147,definition,
( spl147
<=> def28 ),
introduced(definition,[new_symbols(naming,[spl147])],[avatar_definition]) ).
cnf(p335,plain,
( ~ spl147
| def28 ),
inference(avatar_component_clause,[status(thm)],[sdef147]) ).
fof(sdef145,definition,
( spl145
<=> ~ def28 ),
introduced(definition,[new_symbols(naming,[spl145])],[avatar_definition]) ).
cnf(p332,plain,
( ~ spl145
| ~ def28 ),
inference(avatar_component_clause,[status(thm)],[sdef145]) ).
cnf(p842,plain,
( ~ spl147
| ~ spl145
| $false ),
inference(resolution,[status(thm)],[p335,p332]) ).
cnf(sct27,plain,
( ~ spl147
| ~ spl145 ),
inference(avatar_contradiction_clause,[status(thm)],[p842]) ).
fof(sdef150,definition,
( spl150
<=> def29 ),
introduced(definition,[new_symbols(naming,[spl150])],[avatar_definition]) ).
cnf(p342,plain,
( ~ spl150
| def29 ),
inference(avatar_component_clause,[status(thm)],[sdef150]) ).
fof(sdef149,definition,
( spl149
<=> ~ def29 ),
introduced(definition,[new_symbols(naming,[spl149])],[avatar_definition]) ).
cnf(p339,plain,
( ~ spl149
| ~ def29 ),
inference(avatar_component_clause,[status(thm)],[sdef149]) ).
cnf(p843,plain,
( ~ spl150
| ~ spl149
| $false ),
inference(resolution,[status(thm)],[p342,p339]) ).
cnf(sct28,plain,
( ~ spl150
| ~ spl149 ),
inference(avatar_contradiction_clause,[status(thm)],[p843]) ).
fof(sdef153,definition,
( spl153
<=> def30 ),
introduced(definition,[new_symbols(naming,[spl153])],[avatar_definition]) ).
cnf(p347,plain,
( ~ spl153
| def30 ),
inference(avatar_component_clause,[status(thm)],[sdef153]) ).
fof(sdef151,definition,
( spl151
<=> ~ def30 ),
introduced(definition,[new_symbols(naming,[spl151])],[avatar_definition]) ).
cnf(p344,plain,
( ~ spl151
| ~ def30 ),
inference(avatar_component_clause,[status(thm)],[sdef151]) ).
cnf(p848,plain,
( ~ spl153
| ~ spl151
| $false ),
inference(resolution,[status(thm)],[p347,p344]) ).
cnf(sct29,plain,
( ~ spl153
| ~ spl151 ),
inference(avatar_contradiction_clause,[status(thm)],[p848]) ).
fof(sdef156,definition,
( spl156
<=> def31 ),
introduced(definition,[new_symbols(naming,[spl156])],[avatar_definition]) ).
cnf(p354,plain,
( ~ spl156
| def31 ),
inference(avatar_component_clause,[status(thm)],[sdef156]) ).
fof(sdef155,definition,
( spl155
<=> ~ def31 ),
introduced(definition,[new_symbols(naming,[spl155])],[avatar_definition]) ).
cnf(p351,plain,
( ~ spl155
| ~ def31 ),
inference(avatar_component_clause,[status(thm)],[sdef155]) ).
cnf(p849,plain,
( ~ spl156
| ~ spl155
| $false ),
inference(resolution,[status(thm)],[p354,p351]) ).
cnf(sct30,plain,
( ~ spl156
| ~ spl155 ),
inference(avatar_contradiction_clause,[status(thm)],[p849]) ).
fof(sdef159,definition,
( spl159
<=> def32 ),
introduced(definition,[new_symbols(naming,[spl159])],[avatar_definition]) ).
cnf(p359,plain,
( ~ spl159
| def32 ),
inference(avatar_component_clause,[status(thm)],[sdef159]) ).
fof(sdef157,definition,
( spl157
<=> ~ def32 ),
introduced(definition,[new_symbols(naming,[spl157])],[avatar_definition]) ).
cnf(p356,plain,
( ~ spl157
| ~ def32 ),
inference(avatar_component_clause,[status(thm)],[sdef157]) ).
cnf(p856,plain,
( ~ spl159
| ~ spl157
| $false ),
inference(resolution,[status(thm)],[p359,p356]) ).
cnf(sct31,plain,
( ~ spl159
| ~ spl157 ),
inference(avatar_contradiction_clause,[status(thm)],[p856]) ).
fof(sdef162,definition,
( spl162
<=> def33 ),
introduced(definition,[new_symbols(naming,[spl162])],[avatar_definition]) ).
cnf(p366,plain,
( ~ spl162
| def33 ),
inference(avatar_component_clause,[status(thm)],[sdef162]) ).
fof(sdef161,definition,
( spl161
<=> ~ def33 ),
introduced(definition,[new_symbols(naming,[spl161])],[avatar_definition]) ).
cnf(p363,plain,
( ~ spl161
| ~ def33 ),
inference(avatar_component_clause,[status(thm)],[sdef161]) ).
cnf(p857,plain,
( ~ spl162
| ~ spl161
| $false ),
inference(resolution,[status(thm)],[p366,p363]) ).
cnf(sct32,plain,
( ~ spl162
| ~ spl161 ),
inference(avatar_contradiction_clause,[status(thm)],[p857]) ).
fof(sdef164,definition,
( spl164
<=> def34 ),
introduced(definition,[new_symbols(naming,[spl164])],[avatar_definition]) ).
cnf(p370,plain,
( ~ spl164
| def34 ),
inference(avatar_component_clause,[status(thm)],[sdef164]) ).
fof(sdef163,definition,
( spl163
<=> ~ def34 ),
introduced(definition,[new_symbols(naming,[spl163])],[avatar_definition]) ).
cnf(p368,plain,
( ~ spl163
| ~ def34 ),
inference(avatar_component_clause,[status(thm)],[sdef163]) ).
cnf(p858,plain,
( ~ spl164
| ~ spl163
| $false ),
inference(resolution,[status(thm)],[p370,p368]) ).
cnf(sct33,plain,
( ~ spl164
| ~ spl163 ),
inference(avatar_contradiction_clause,[status(thm)],[p858]) ).
fof(sdef167,definition,
( spl167
<=> def35 ),
introduced(definition,[new_symbols(naming,[spl167])],[avatar_definition]) ).
cnf(p376,plain,
( ~ spl167
| def35 ),
inference(avatar_component_clause,[status(thm)],[sdef167]) ).
fof(sdef165,definition,
( spl165
<=> ~ def35 ),
introduced(definition,[new_symbols(naming,[spl165])],[avatar_definition]) ).
cnf(p373,plain,
( ~ spl165
| ~ def35 ),
inference(avatar_component_clause,[status(thm)],[sdef165]) ).
cnf(p859,plain,
( ~ spl167
| ~ spl165
| $false ),
inference(resolution,[status(thm)],[p376,p373]) ).
cnf(sct34,plain,
( ~ spl167
| ~ spl165 ),
inference(avatar_contradiction_clause,[status(thm)],[p859]) ).
fof(sdef169,definition,
( spl169
<=> def36 ),
introduced(definition,[new_symbols(naming,[spl169])],[avatar_definition]) ).
cnf(p382,plain,
( ~ spl169
| def36 ),
inference(avatar_component_clause,[status(thm)],[sdef169]) ).
fof(sdef168,definition,
( spl168
<=> ~ def36 ),
introduced(definition,[new_symbols(naming,[spl168])],[avatar_definition]) ).
cnf(p379,plain,
( ~ spl168
| ~ def36 ),
inference(avatar_component_clause,[status(thm)],[sdef168]) ).
cnf(p862,plain,
( ~ spl169
| ~ spl168
| $false ),
inference(resolution,[status(thm)],[p382,p379]) ).
cnf(sct35,plain,
( ~ spl169
| ~ spl168 ),
inference(avatar_contradiction_clause,[status(thm)],[p862]) ).
fof(sdef172,definition,
( spl172
<=> def37 ),
introduced(definition,[new_symbols(naming,[spl172])],[avatar_definition]) ).
cnf(p387,plain,
( ~ spl172
| def37 ),
inference(avatar_component_clause,[status(thm)],[sdef172]) ).
fof(sdef170,definition,
( spl170
<=> ~ def37 ),
introduced(definition,[new_symbols(naming,[spl170])],[avatar_definition]) ).
cnf(p384,plain,
( ~ spl170
| ~ def37 ),
inference(avatar_component_clause,[status(thm)],[sdef170]) ).
cnf(p863,plain,
( ~ spl172
| ~ spl170
| $false ),
inference(resolution,[status(thm)],[p387,p384]) ).
cnf(sct36,plain,
( ~ spl172
| ~ spl170 ),
inference(avatar_contradiction_clause,[status(thm)],[p863]) ).
fof(sdef175,definition,
( spl175
<=> def38 ),
introduced(definition,[new_symbols(naming,[spl175])],[avatar_definition]) ).
cnf(p394,plain,
( ~ spl175
| def38 ),
inference(avatar_component_clause,[status(thm)],[sdef175]) ).
fof(sdef174,definition,
( spl174
<=> ~ def38 ),
introduced(definition,[new_symbols(naming,[spl174])],[avatar_definition]) ).
cnf(p391,plain,
( ~ spl174
| ~ def38 ),
inference(avatar_component_clause,[status(thm)],[sdef174]) ).
cnf(p868,plain,
( ~ spl175
| ~ spl174
| $false ),
inference(resolution,[status(thm)],[p394,p391]) ).
cnf(sct37,plain,
( ~ spl175
| ~ spl174 ),
inference(avatar_contradiction_clause,[status(thm)],[p868]) ).
fof(sdef178,definition,
( spl178
<=> def39 ),
introduced(definition,[new_symbols(naming,[spl178])],[avatar_definition]) ).
cnf(p399,plain,
( ~ spl178
| def39 ),
inference(avatar_component_clause,[status(thm)],[sdef178]) ).
fof(sdef176,definition,
( spl176
<=> ~ def39 ),
introduced(definition,[new_symbols(naming,[spl176])],[avatar_definition]) ).
cnf(p396,plain,
( ~ spl176
| ~ def39 ),
inference(avatar_component_clause,[status(thm)],[sdef176]) ).
cnf(p869,plain,
( ~ spl178
| ~ spl176
| $false ),
inference(resolution,[status(thm)],[p399,p396]) ).
cnf(sct38,plain,
( ~ spl178
| ~ spl176 ),
inference(avatar_contradiction_clause,[status(thm)],[p869]) ).
fof(sdef181,definition,
( spl181
<=> def40 ),
introduced(definition,[new_symbols(naming,[spl181])],[avatar_definition]) ).
cnf(p406,plain,
( ~ spl181
| def40 ),
inference(avatar_component_clause,[status(thm)],[sdef181]) ).
fof(sdef180,definition,
( spl180
<=> ~ def40 ),
introduced(definition,[new_symbols(naming,[spl180])],[avatar_definition]) ).
cnf(p403,plain,
( ~ spl180
| ~ def40 ),
inference(avatar_component_clause,[status(thm)],[sdef180]) ).
cnf(p876,plain,
( ~ spl181
| ~ spl180
| $false ),
inference(resolution,[status(thm)],[p406,p403]) ).
cnf(sct39,plain,
( ~ spl181
| ~ spl180 ),
inference(avatar_contradiction_clause,[status(thm)],[p876]) ).
fof(sdef183,definition,
( spl183
<=> def41 ),
introduced(definition,[new_symbols(naming,[spl183])],[avatar_definition]) ).
cnf(p410,plain,
( ~ spl183
| def41 ),
inference(avatar_component_clause,[status(thm)],[sdef183]) ).
fof(sdef182,definition,
( spl182
<=> ~ def41 ),
introduced(definition,[new_symbols(naming,[spl182])],[avatar_definition]) ).
cnf(p408,plain,
( ~ spl182
| ~ def41 ),
inference(avatar_component_clause,[status(thm)],[sdef182]) ).
cnf(p877,plain,
( ~ spl183
| ~ spl182
| $false ),
inference(resolution,[status(thm)],[p410,p408]) ).
cnf(sct40,plain,
( ~ spl183
| ~ spl182 ),
inference(avatar_contradiction_clause,[status(thm)],[p877]) ).
fof(sdef185,definition,
( spl185
<=> def42 ),
introduced(definition,[new_symbols(naming,[spl185])],[avatar_definition]) ).
cnf(p416,plain,
( ~ spl185
| def42 ),
inference(avatar_component_clause,[status(thm)],[sdef185]) ).
fof(sdef184,definition,
( spl184
<=> ~ def42 ),
introduced(definition,[new_symbols(naming,[spl184])],[avatar_definition]) ).
cnf(p413,plain,
( ~ spl184
| ~ def42 ),
inference(avatar_component_clause,[status(thm)],[sdef184]) ).
cnf(p878,plain,
( ~ spl185
| ~ spl184
| $false ),
inference(resolution,[status(thm)],[p416,p413]) ).
cnf(sct41,plain,
( ~ spl185
| ~ spl184 ),
inference(avatar_contradiction_clause,[status(thm)],[p878]) ).
fof(sdef187,definition,
( spl187
<=> def43 ),
introduced(definition,[new_symbols(naming,[spl187])],[avatar_definition]) ).
cnf(p420,plain,
( ~ spl187
| def43 ),
inference(avatar_component_clause,[status(thm)],[sdef187]) ).
fof(sdef186,definition,
( spl186
<=> ~ def43 ),
introduced(definition,[new_symbols(naming,[spl186])],[avatar_definition]) ).
cnf(p418,plain,
( ~ spl186
| ~ def43 ),
inference(avatar_component_clause,[status(thm)],[sdef186]) ).
cnf(p879,plain,
( ~ spl187
| ~ spl186
| $false ),
inference(resolution,[status(thm)],[p420,p418]) ).
cnf(sct42,plain,
( ~ spl187
| ~ spl186 ),
inference(avatar_contradiction_clause,[status(thm)],[p879]) ).
fof(sdef189,definition,
( spl189
<=> def44 ),
introduced(definition,[new_symbols(naming,[spl189])],[avatar_definition]) ).
cnf(p426,plain,
( ~ spl189
| def44 ),
inference(avatar_component_clause,[status(thm)],[sdef189]) ).
fof(sdef188,definition,
( spl188
<=> ~ def44 ),
introduced(definition,[new_symbols(naming,[spl188])],[avatar_definition]) ).
cnf(p423,plain,
( ~ spl188
| ~ def44 ),
inference(avatar_component_clause,[status(thm)],[sdef188]) ).
cnf(p882,plain,
( ~ spl189
| ~ spl188
| $false ),
inference(resolution,[status(thm)],[p426,p423]) ).
cnf(sct43,plain,
( ~ spl189
| ~ spl188 ),
inference(avatar_contradiction_clause,[status(thm)],[p882]) ).
fof(sdef192,definition,
( spl192
<=> def45 ),
introduced(definition,[new_symbols(naming,[spl192])],[avatar_definition]) ).
cnf(p431,plain,
( ~ spl192
| def45 ),
inference(avatar_component_clause,[status(thm)],[sdef192]) ).
fof(sdef190,definition,
( spl190
<=> ~ def45 ),
introduced(definition,[new_symbols(naming,[spl190])],[avatar_definition]) ).
cnf(p428,plain,
( ~ spl190
| ~ def45 ),
inference(avatar_component_clause,[status(thm)],[sdef190]) ).
cnf(p883,plain,
( ~ spl192
| ~ spl190
| $false ),
inference(resolution,[status(thm)],[p431,p428]) ).
cnf(sct44,plain,
( ~ spl192
| ~ spl190 ),
inference(avatar_contradiction_clause,[status(thm)],[p883]) ).
fof(sdef195,definition,
( spl195
<=> def46 ),
introduced(definition,[new_symbols(naming,[spl195])],[avatar_definition]) ).
cnf(p438,plain,
( ~ spl195
| def46 ),
inference(avatar_component_clause,[status(thm)],[sdef195]) ).
fof(sdef194,definition,
( spl194
<=> ~ def46 ),
introduced(definition,[new_symbols(naming,[spl194])],[avatar_definition]) ).
cnf(p435,plain,
( ~ spl194
| ~ def46 ),
inference(avatar_component_clause,[status(thm)],[sdef194]) ).
cnf(p888,plain,
( ~ spl195
| ~ spl194
| $false ),
inference(resolution,[status(thm)],[p438,p435]) ).
cnf(sct45,plain,
( ~ spl195
| ~ spl194 ),
inference(avatar_contradiction_clause,[status(thm)],[p888]) ).
fof(sdef198,definition,
( spl198
<=> def47 ),
introduced(definition,[new_symbols(naming,[spl198])],[avatar_definition]) ).
cnf(p443,plain,
( ~ spl198
| def47 ),
inference(avatar_component_clause,[status(thm)],[sdef198]) ).
fof(sdef196,definition,
( spl196
<=> ~ def47 ),
introduced(definition,[new_symbols(naming,[spl196])],[avatar_definition]) ).
cnf(p440,plain,
( ~ spl196
| ~ def47 ),
inference(avatar_component_clause,[status(thm)],[sdef196]) ).
cnf(p889,plain,
( ~ spl198
| ~ spl196
| $false ),
inference(resolution,[status(thm)],[p443,p440]) ).
cnf(sct46,plain,
( ~ spl198
| ~ spl196 ),
inference(avatar_contradiction_clause,[status(thm)],[p889]) ).
fof(sdef201,definition,
( spl201
<=> def48 ),
introduced(definition,[new_symbols(naming,[spl201])],[avatar_definition]) ).
cnf(p450,plain,
( ~ spl201
| def48 ),
inference(avatar_component_clause,[status(thm)],[sdef201]) ).
fof(sdef200,definition,
( spl200
<=> ~ def48 ),
introduced(definition,[new_symbols(naming,[spl200])],[avatar_definition]) ).
cnf(p447,plain,
( ~ spl200
| ~ def48 ),
inference(avatar_component_clause,[status(thm)],[sdef200]) ).
cnf(p896,plain,
( ~ spl201
| ~ spl200
| $false ),
inference(resolution,[status(thm)],[p450,p447]) ).
cnf(sct47,plain,
( ~ spl201
| ~ spl200 ),
inference(avatar_contradiction_clause,[status(thm)],[p896]) ).
fof(sdef203,definition,
( spl203
<=> def49 ),
introduced(definition,[new_symbols(naming,[spl203])],[avatar_definition]) ).
cnf(p454,plain,
( ~ spl203
| def49 ),
inference(avatar_component_clause,[status(thm)],[sdef203]) ).
fof(sdef202,definition,
( spl202
<=> ~ def49 ),
introduced(definition,[new_symbols(naming,[spl202])],[avatar_definition]) ).
cnf(p452,plain,
( ~ spl202
| ~ def49 ),
inference(avatar_component_clause,[status(thm)],[sdef202]) ).
cnf(p897,plain,
( ~ spl203
| ~ spl202
| $false ),
inference(resolution,[status(thm)],[p454,p452]) ).
cnf(sct48,plain,
( ~ spl203
| ~ spl202 ),
inference(avatar_contradiction_clause,[status(thm)],[p897]) ).
fof(sdef205,definition,
( spl205
<=> def50 ),
introduced(definition,[new_symbols(naming,[spl205])],[avatar_definition]) ).
cnf(p460,plain,
( ~ spl205
| def50 ),
inference(avatar_component_clause,[status(thm)],[sdef205]) ).
fof(sdef204,definition,
( spl204
<=> ~ def50 ),
introduced(definition,[new_symbols(naming,[spl204])],[avatar_definition]) ).
cnf(p457,plain,
( ~ spl204
| ~ def50 ),
inference(avatar_component_clause,[status(thm)],[sdef204]) ).
cnf(p898,plain,
( ~ spl205
| ~ spl204
| $false ),
inference(resolution,[status(thm)],[p460,p457]) ).
cnf(sct49,plain,
( ~ spl205
| ~ spl204 ),
inference(avatar_contradiction_clause,[status(thm)],[p898]) ).
fof(sdef208,definition,
( spl208
<=> def51 ),
introduced(definition,[new_symbols(naming,[spl208])],[avatar_definition]) ).
cnf(p465,plain,
( ~ spl208
| def51 ),
inference(avatar_component_clause,[status(thm)],[sdef208]) ).
fof(sdef206,definition,
( spl206
<=> ~ def51 ),
introduced(definition,[new_symbols(naming,[spl206])],[avatar_definition]) ).
cnf(p462,plain,
( ~ spl206
| ~ def51 ),
inference(avatar_component_clause,[status(thm)],[sdef206]) ).
cnf(p899,plain,
( ~ spl208
| ~ spl206
| $false ),
inference(resolution,[status(thm)],[p465,p462]) ).
cnf(sct50,plain,
( ~ spl208
| ~ spl206 ),
inference(avatar_contradiction_clause,[status(thm)],[p899]) ).
fof(sdef210,definition,
( spl210
<=> def52 ),
introduced(definition,[new_symbols(naming,[spl210])],[avatar_definition]) ).
cnf(p471,plain,
( ~ spl210
| def52 ),
inference(avatar_component_clause,[status(thm)],[sdef210]) ).
fof(sdef209,definition,
( spl209
<=> ~ def52 ),
introduced(definition,[new_symbols(naming,[spl209])],[avatar_definition]) ).
cnf(p468,plain,
( ~ spl209
| ~ def52 ),
inference(avatar_component_clause,[status(thm)],[sdef209]) ).
cnf(p902,plain,
( ~ spl210
| ~ spl209
| $false ),
inference(resolution,[status(thm)],[p471,p468]) ).
cnf(sct51,plain,
( ~ spl210
| ~ spl209 ),
inference(avatar_contradiction_clause,[status(thm)],[p902]) ).
fof(sdef213,definition,
( spl213
<=> def53 ),
introduced(definition,[new_symbols(naming,[spl213])],[avatar_definition]) ).
cnf(p476,plain,
( ~ spl213
| def53 ),
inference(avatar_component_clause,[status(thm)],[sdef213]) ).
fof(sdef211,definition,
( spl211
<=> ~ def53 ),
introduced(definition,[new_symbols(naming,[spl211])],[avatar_definition]) ).
cnf(p473,plain,
( ~ spl211
| ~ def53 ),
inference(avatar_component_clause,[status(thm)],[sdef211]) ).
cnf(p903,plain,
( ~ spl213
| ~ spl211
| $false ),
inference(resolution,[status(thm)],[p476,p473]) ).
cnf(sct52,plain,
( ~ spl213
| ~ spl211 ),
inference(avatar_contradiction_clause,[status(thm)],[p903]) ).
fof(sdef216,definition,
( spl216
<=> def54 ),
introduced(definition,[new_symbols(naming,[spl216])],[avatar_definition]) ).
cnf(p483,plain,
( ~ spl216
| def54 ),
inference(avatar_component_clause,[status(thm)],[sdef216]) ).
fof(sdef215,definition,
( spl215
<=> ~ def54 ),
introduced(definition,[new_symbols(naming,[spl215])],[avatar_definition]) ).
cnf(p480,plain,
( ~ spl215
| ~ def54 ),
inference(avatar_component_clause,[status(thm)],[sdef215]) ).
cnf(p908,plain,
( ~ spl216
| ~ spl215
| $false ),
inference(resolution,[status(thm)],[p483,p480]) ).
cnf(sct53,plain,
( ~ spl216
| ~ spl215 ),
inference(avatar_contradiction_clause,[status(thm)],[p908]) ).
fof(sdef219,definition,
( spl219
<=> def55 ),
introduced(definition,[new_symbols(naming,[spl219])],[avatar_definition]) ).
cnf(p488,plain,
( ~ spl219
| def55 ),
inference(avatar_component_clause,[status(thm)],[sdef219]) ).
fof(sdef217,definition,
( spl217
<=> ~ def55 ),
introduced(definition,[new_symbols(naming,[spl217])],[avatar_definition]) ).
cnf(p485,plain,
( ~ spl217
| ~ def55 ),
inference(avatar_component_clause,[status(thm)],[sdef217]) ).
cnf(p909,plain,
( ~ spl219
| ~ spl217
| $false ),
inference(resolution,[status(thm)],[p488,p485]) ).
cnf(sct54,plain,
( ~ spl219
| ~ spl217 ),
inference(avatar_contradiction_clause,[status(thm)],[p909]) ).
fof(sdef222,definition,
( spl222
<=> def56 ),
introduced(definition,[new_symbols(naming,[spl222])],[avatar_definition]) ).
cnf(p495,plain,
( ~ spl222
| def56 ),
inference(avatar_component_clause,[status(thm)],[sdef222]) ).
fof(sdef221,definition,
( spl221
<=> ~ def56 ),
introduced(definition,[new_symbols(naming,[spl221])],[avatar_definition]) ).
cnf(p492,plain,
( ~ spl221
| ~ def56 ),
inference(avatar_component_clause,[status(thm)],[sdef221]) ).
cnf(p916,plain,
( ~ spl222
| ~ spl221
| $false ),
inference(resolution,[status(thm)],[p495,p492]) ).
cnf(sct55,plain,
( ~ spl222
| ~ spl221 ),
inference(avatar_contradiction_clause,[status(thm)],[p916]) ).
fof(sdef224,definition,
( spl224
<=> def57 ),
introduced(definition,[new_symbols(naming,[spl224])],[avatar_definition]) ).
cnf(p499,plain,
( ~ spl224
| def57 ),
inference(avatar_component_clause,[status(thm)],[sdef224]) ).
fof(sdef223,definition,
( spl223
<=> ~ def57 ),
introduced(definition,[new_symbols(naming,[spl223])],[avatar_definition]) ).
cnf(p497,plain,
( ~ spl223
| ~ def57 ),
inference(avatar_component_clause,[status(thm)],[sdef223]) ).
cnf(p917,plain,
( ~ spl224
| ~ spl223
| $false ),
inference(resolution,[status(thm)],[p499,p497]) ).
cnf(sct56,plain,
( ~ spl224
| ~ spl223 ),
inference(avatar_contradiction_clause,[status(thm)],[p917]) ).
fof(sdef226,definition,
( spl226
<=> def58 ),
introduced(definition,[new_symbols(naming,[spl226])],[avatar_definition]) ).
cnf(p505,plain,
( ~ spl226
| def58 ),
inference(avatar_component_clause,[status(thm)],[sdef226]) ).
fof(sdef225,definition,
( spl225
<=> ~ def58 ),
introduced(definition,[new_symbols(naming,[spl225])],[avatar_definition]) ).
cnf(p502,plain,
( ~ spl225
| ~ def58 ),
inference(avatar_component_clause,[status(thm)],[sdef225]) ).
cnf(p918,plain,
( ~ spl226
| ~ spl225
| $false ),
inference(resolution,[status(thm)],[p505,p502]) ).
cnf(sct57,plain,
( ~ spl226
| ~ spl225 ),
inference(avatar_contradiction_clause,[status(thm)],[p918]) ).
fof(sdef229,definition,
( spl229
<=> def59 ),
introduced(definition,[new_symbols(naming,[spl229])],[avatar_definition]) ).
cnf(p510,plain,
( ~ spl229
| def59 ),
inference(avatar_component_clause,[status(thm)],[sdef229]) ).
fof(sdef227,definition,
( spl227
<=> ~ def59 ),
introduced(definition,[new_symbols(naming,[spl227])],[avatar_definition]) ).
cnf(p507,plain,
( ~ spl227
| ~ def59 ),
inference(avatar_component_clause,[status(thm)],[sdef227]) ).
cnf(p919,plain,
( ~ spl229
| ~ spl227
| $false ),
inference(resolution,[status(thm)],[p510,p507]) ).
cnf(sct58,plain,
( ~ spl229
| ~ spl227 ),
inference(avatar_contradiction_clause,[status(thm)],[p919]) ).
fof(sdef231,definition,
( spl231
<=> def60 ),
introduced(definition,[new_symbols(naming,[spl231])],[avatar_definition]) ).
cnf(p516,plain,
( ~ spl231
| def60 ),
inference(avatar_component_clause,[status(thm)],[sdef231]) ).
fof(sdef230,definition,
( spl230
<=> ~ def60 ),
introduced(definition,[new_symbols(naming,[spl230])],[avatar_definition]) ).
cnf(p513,plain,
( ~ spl230
| ~ def60 ),
inference(avatar_component_clause,[status(thm)],[sdef230]) ).
cnf(p922,plain,
( ~ spl231
| ~ spl230
| $false ),
inference(resolution,[status(thm)],[p516,p513]) ).
cnf(sct59,plain,
( ~ spl231
| ~ spl230 ),
inference(avatar_contradiction_clause,[status(thm)],[p922]) ).
fof(sdef234,definition,
( spl234
<=> def61 ),
introduced(definition,[new_symbols(naming,[spl234])],[avatar_definition]) ).
cnf(p521,plain,
( ~ spl234
| def61 ),
inference(avatar_component_clause,[status(thm)],[sdef234]) ).
fof(sdef232,definition,
( spl232
<=> ~ def61 ),
introduced(definition,[new_symbols(naming,[spl232])],[avatar_definition]) ).
cnf(p518,plain,
( ~ spl232
| ~ def61 ),
inference(avatar_component_clause,[status(thm)],[sdef232]) ).
cnf(p923,plain,
( ~ spl234
| ~ spl232
| $false ),
inference(resolution,[status(thm)],[p521,p518]) ).
cnf(sct60,plain,
( ~ spl234
| ~ spl232 ),
inference(avatar_contradiction_clause,[status(thm)],[p923]) ).
fof(sdef237,definition,
( spl237
<=> def62 ),
introduced(definition,[new_symbols(naming,[spl237])],[avatar_definition]) ).
cnf(p528,plain,
( ~ spl237
| def62 ),
inference(avatar_component_clause,[status(thm)],[sdef237]) ).
fof(sdef236,definition,
( spl236
<=> ~ def62 ),
introduced(definition,[new_symbols(naming,[spl236])],[avatar_definition]) ).
cnf(p525,plain,
( ~ spl236
| ~ def62 ),
inference(avatar_component_clause,[status(thm)],[sdef236]) ).
cnf(p928,plain,
( ~ spl237
| ~ spl236
| $false ),
inference(resolution,[status(thm)],[p528,p525]) ).
cnf(sct61,plain,
( ~ spl237
| ~ spl236 ),
inference(avatar_contradiction_clause,[status(thm)],[p928]) ).
fof(sdef240,definition,
( spl240
<=> def63 ),
introduced(definition,[new_symbols(naming,[spl240])],[avatar_definition]) ).
cnf(p533,plain,
( ~ spl240
| def63 ),
inference(avatar_component_clause,[status(thm)],[sdef240]) ).
fof(sdef238,definition,
( spl238
<=> ~ def63 ),
introduced(definition,[new_symbols(naming,[spl238])],[avatar_definition]) ).
cnf(p530,plain,
( ~ spl238
| ~ def63 ),
inference(avatar_component_clause,[status(thm)],[sdef238]) ).
cnf(p929,plain,
( ~ spl240
| ~ spl238
| $false ),
inference(resolution,[status(thm)],[p533,p530]) ).
cnf(sct62,plain,
( ~ spl240
| ~ spl238 ),
inference(avatar_contradiction_clause,[status(thm)],[p929]) ).
fof(sdef243,definition,
( spl243
<=> def64 ),
introduced(definition,[new_symbols(naming,[spl243])],[avatar_definition]) ).
cnf(p540,plain,
( ~ spl243
| def64 ),
inference(avatar_component_clause,[status(thm)],[sdef243]) ).
fof(sdef242,definition,
( spl242
<=> ~ def64 ),
introduced(definition,[new_symbols(naming,[spl242])],[avatar_definition]) ).
cnf(p537,plain,
( ~ spl242
| ~ def64 ),
inference(avatar_component_clause,[status(thm)],[sdef242]) ).
cnf(p936,plain,
( ~ spl243
| ~ spl242
| $false ),
inference(resolution,[status(thm)],[p540,p537]) ).
cnf(sct63,plain,
( ~ spl243
| ~ spl242 ),
inference(avatar_contradiction_clause,[status(thm)],[p936]) ).
fof(sdef245,definition,
( spl245
<=> def65 ),
introduced(definition,[new_symbols(naming,[spl245])],[avatar_definition]) ).
cnf(p544,plain,
( ~ spl245
| def65 ),
inference(avatar_component_clause,[status(thm)],[sdef245]) ).
fof(sdef244,definition,
( spl244
<=> ~ def65 ),
introduced(definition,[new_symbols(naming,[spl244])],[avatar_definition]) ).
cnf(p542,plain,
( ~ spl244
| ~ def65 ),
inference(avatar_component_clause,[status(thm)],[sdef244]) ).
cnf(p937,plain,
( ~ spl245
| ~ spl244
| $false ),
inference(resolution,[status(thm)],[p544,p542]) ).
cnf(sct64,plain,
( ~ spl245
| ~ spl244 ),
inference(avatar_contradiction_clause,[status(thm)],[p937]) ).
fof(sdef247,definition,
( spl247
<=> def66 ),
introduced(definition,[new_symbols(naming,[spl247])],[avatar_definition]) ).
cnf(p549,plain,
( ~ spl247
| def66 ),
inference(avatar_component_clause,[status(thm)],[sdef247]) ).
fof(sdef246,definition,
( spl246
<=> ~ def66 ),
introduced(definition,[new_symbols(naming,[spl246])],[avatar_definition]) ).
cnf(p547,plain,
( ~ spl246
| ~ def66 ),
inference(avatar_component_clause,[status(thm)],[sdef246]) ).
cnf(p938,plain,
( ~ spl247
| ~ spl246
| $false ),
inference(resolution,[status(thm)],[p549,p547]) ).
cnf(sct65,plain,
( ~ spl247
| ~ spl246 ),
inference(avatar_contradiction_clause,[status(thm)],[p938]) ).
fof(sdef249,definition,
( spl249
<=> def67 ),
introduced(definition,[new_symbols(naming,[spl249])],[avatar_definition]) ).
cnf(p554,plain,
( ~ spl249
| def67 ),
inference(avatar_component_clause,[status(thm)],[sdef249]) ).
fof(sdef248,definition,
( spl248
<=> ~ def67 ),
introduced(definition,[new_symbols(naming,[spl248])],[avatar_definition]) ).
cnf(p552,plain,
( ~ spl248
| ~ def67 ),
inference(avatar_component_clause,[status(thm)],[sdef248]) ).
cnf(p939,plain,
( ~ spl249
| ~ spl248
| $false ),
inference(resolution,[status(thm)],[p554,p552]) ).
cnf(sct66,plain,
( ~ spl249
| ~ spl248 ),
inference(avatar_contradiction_clause,[status(thm)],[p939]) ).
fof(sdef251,definition,
( spl251
<=> def68 ),
introduced(definition,[new_symbols(naming,[spl251])],[avatar_definition]) ).
cnf(p560,plain,
( ~ spl251
| def68 ),
inference(avatar_component_clause,[status(thm)],[sdef251]) ).
fof(sdef250,definition,
( spl250
<=> ~ def68 ),
introduced(definition,[new_symbols(naming,[spl250])],[avatar_definition]) ).
cnf(p557,plain,
( ~ spl250
| ~ def68 ),
inference(avatar_component_clause,[status(thm)],[sdef250]) ).
cnf(p942,plain,
( ~ spl251
| ~ spl250
| $false ),
inference(resolution,[status(thm)],[p560,p557]) ).
cnf(sct67,plain,
( ~ spl251
| ~ spl250 ),
inference(avatar_contradiction_clause,[status(thm)],[p942]) ).
fof(sdef254,definition,
( spl254
<=> def69 ),
introduced(definition,[new_symbols(naming,[spl254])],[avatar_definition]) ).
cnf(p565,plain,
( ~ spl254
| def69 ),
inference(avatar_component_clause,[status(thm)],[sdef254]) ).
fof(sdef252,definition,
( spl252
<=> ~ def69 ),
introduced(definition,[new_symbols(naming,[spl252])],[avatar_definition]) ).
cnf(p562,plain,
( ~ spl252
| ~ def69 ),
inference(avatar_component_clause,[status(thm)],[sdef252]) ).
cnf(p943,plain,
( ~ spl254
| ~ spl252
| $false ),
inference(resolution,[status(thm)],[p565,p562]) ).
cnf(sct68,plain,
( ~ spl254
| ~ spl252 ),
inference(avatar_contradiction_clause,[status(thm)],[p943]) ).
fof(f4,axiom,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e3) = e3
| op(e2,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e3) = e1
| op(e2,e1) != e3 )
& ( op(e2,e3) = e0
| op(e2,e0) != e3 )
& ( op(e1,e3) = e3
| op(e1,e3) != e3 )
& ( op(e1,e3) = e2
| op(e1,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e3) = e0
| op(e1,e0) != e3 )
& ( op(e0,e3) = e3
| op(e0,e3) != e3 )
& ( op(e0,e3) = e2
| op(e0,e2) != e3 )
& ( op(e0,e3) = e1
| op(e0,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4_nnf,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e3) = e3
| op(e2,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e3) = e1
| op(e2,e1) != e3 )
& ( op(e2,e3) = e0
| op(e2,e0) != e3 )
& ( op(e1,e3) = e3
| op(e1,e3) != e3 )
& ( op(e1,e3) = e2
| op(e1,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e3) = e0
| op(e1,e0) != e3 )
& ( op(e0,e3) = e3
| op(e0,e3) != e3 )
& ( op(e0,e3) = e2
| op(e0,e2) != e3 )
& ( op(e0,e3) = e1
| op(e0,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e3) = e3
| op(e2,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e3) = e1
| op(e2,e1) != e3 )
& ( op(e2,e3) = e0
| op(e2,e0) != e3 )
& ( op(e1,e3) = e3
| op(e1,e3) != e3 )
& ( op(e1,e3) = e2
| op(e1,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e3) = e0
| op(e1,e0) != e3 )
& ( op(e0,e3) = e3
| op(e0,e3) != e3 )
& ( op(e0,e3) = e2
| op(e0,e2) != e3 )
& ( op(e0,e3) = e1
| op(e0,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c492,plain,
( def2
| ~ def130 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c495,plain,
def130,
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p1004,plain,
def2,
inference(resolution,[status(thm)],[c492,c495]) ).
fof(sdef71,definition,
( spl71
<=> ~ def2 ),
introduced(definition,[new_symbols(naming,[spl71])],[avatar_definition]) ).
cnf(p180,plain,
( ~ spl71
| ~ def2 ),
inference(avatar_component_clause,[status(thm)],[sdef71]) ).
cnf(p1005,plain,
( ~ spl71
| $false ),
inference(resolution,[status(thm)],[p1004,p180]) ).
cnf(sct69,plain,
~ spl71,
inference(avatar_contradiction_clause,[status(thm)],[p1005]) ).
fof(sdef0,definition,
( spl0
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(naming,[spl0])],[avatar_definition]) ).
cnf(p1,plain,
( ~ spl0
| op(e0,e0) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef0]) ).
fof(sdef1,definition,
( spl1
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(naming,[spl1])],[avatar_definition]) ).
cnf(p2,plain,
( ~ spl1
| op(e0,e0) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef1]) ).
cnf(p781,plain,
( ~ spl1
| ~ spl0
| e0 = e1 ),
inference(superposition,[status(thm)],[p1,p2]) ).
fof(f3,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3_nnf,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c96,plain,
e0 != e1,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1030,plain,
( ~ spl1
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p781,c96]) ).
cnf(sct70,plain,
( ~ spl1
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1030]) ).
fof(sdef2,definition,
( spl2
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(naming,[spl2])],[avatar_definition]) ).
cnf(p3,plain,
( ~ spl2
| op(e0,e0) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef2]) ).
cnf(p785,plain,
( ~ spl2
| ~ spl0
| e0 = e2 ),
inference(superposition,[status(thm)],[p1,p3]) ).
cnf(c97,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1065,plain,
( ~ spl2
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p785,c97]) ).
cnf(sct71,plain,
( ~ spl2
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1065]) ).
fof(sdef3,definition,
( spl3
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(naming,[spl3])],[avatar_definition]) ).
cnf(p4,plain,
( ~ spl3
| op(e0,e0) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef3]) ).
cnf(p791,plain,
( ~ spl3
| ~ spl0
| e0 = e3 ),
inference(superposition,[status(thm)],[p1,p4]) ).
cnf(c98,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1092,plain,
( ~ spl3
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p791,c98]) ).
cnf(sct72,plain,
( ~ spl3
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1092]) ).
fof(sdef4,definition,
( spl4
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(naming,[spl4])],[avatar_definition]) ).
cnf(p6,plain,
( ~ spl4
| op(e0,e1) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef4]) ).
fof(sdef5,definition,
( spl5
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(naming,[spl5])],[avatar_definition]) ).
cnf(p7,plain,
( ~ spl5
| op(e0,e1) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef5]) ).
cnf(p801,plain,
( ~ spl5
| ~ spl4
| e0 = e1 ),
inference(superposition,[status(thm)],[p6,p7]) ).
cnf(p1125,plain,
( ~ spl5
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p801,c96]) ).
cnf(sct73,plain,
( ~ spl5
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1125]) ).
fof(sdef6,definition,
( spl6
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(naming,[spl6])],[avatar_definition]) ).
cnf(p8,plain,
( ~ spl6
| op(e0,e1) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef6]) ).
cnf(p805,plain,
( ~ spl6
| ~ spl4
| e0 = e2 ),
inference(superposition,[status(thm)],[p6,p8]) ).
cnf(p1154,plain,
( ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p805,c97]) ).
cnf(sct74,plain,
( ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1154]) ).
fof(sdef7,definition,
( spl7
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(naming,[spl7])],[avatar_definition]) ).
cnf(p9,plain,
( ~ spl7
| op(e0,e1) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef7]) ).
cnf(p811,plain,
( ~ spl7
| ~ spl4
| e0 = e3 ),
inference(superposition,[status(thm)],[p6,p9]) ).
cnf(p1201,plain,
( ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p811,c98]) ).
cnf(sct75,plain,
( ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1201]) ).
fof(sdef8,definition,
( spl8
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(naming,[spl8])],[avatar_definition]) ).
cnf(p11,plain,
( ~ spl8
| op(e0,e2) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef8]) ).
fof(sdef9,definition,
( spl9
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(naming,[spl9])],[avatar_definition]) ).
cnf(p12,plain,
( ~ spl9
| op(e0,e2) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef9]) ).
cnf(p821,plain,
( ~ spl9
| ~ spl8
| e0 = e1 ),
inference(superposition,[status(thm)],[p11,p12]) ).
cnf(p1232,plain,
( ~ spl9
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p821,c96]) ).
cnf(sct76,plain,
( ~ spl9
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1232]) ).
fof(sdef10,definition,
( spl10
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl10])],[avatar_definition]) ).
cnf(p13,plain,
( ~ spl10
| op(e0,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef10]) ).
cnf(p827,plain,
( ~ spl10
| ~ spl9
| e1 = e2 ),
inference(superposition,[status(thm)],[p12,p13]) ).
cnf(c99,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1260,plain,
( ~ spl10
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p827,c99]) ).
cnf(sct77,plain,
( ~ spl10
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1260]) ).
fof(sdef11,definition,
( spl11
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(naming,[spl11])],[avatar_definition]) ).
cnf(p14,plain,
( ~ spl11
| op(e0,e2) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef11]) ).
cnf(p833,plain,
( ~ spl11
| ~ spl9
| e1 = e3 ),
inference(superposition,[status(thm)],[p12,p14]) ).
cnf(c100,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1296,plain,
( ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p833,c100]) ).
cnf(sct78,plain,
( ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1296]) ).
fof(sdef12,definition,
( spl12
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(naming,[spl12])],[avatar_definition]) ).
cnf(p16,plain,
( ~ spl12
| op(e0,e3) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef12]) ).
fof(sdef13,definition,
( spl13
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(naming,[spl13])],[avatar_definition]) ).
cnf(p17,plain,
( ~ spl13
| op(e0,e3) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef13]) ).
cnf(p841,plain,
( ~ spl13
| ~ spl12
| e0 = e1 ),
inference(superposition,[status(thm)],[p16,p17]) ).
cnf(p1322,plain,
( ~ spl13
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p841,c96]) ).
cnf(sct79,plain,
( ~ spl13
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1322]) ).
fof(sdef14,definition,
( spl14
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(naming,[spl14])],[avatar_definition]) ).
cnf(p18,plain,
( ~ spl14
| op(e0,e3) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef14]) ).
cnf(p845,plain,
( ~ spl14
| ~ spl12
| e0 = e2 ),
inference(superposition,[status(thm)],[p16,p18]) ).
cnf(p1358,plain,
( ~ spl14
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p845,c97]) ).
cnf(sct80,plain,
( ~ spl14
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1358]) ).
cnf(p847,plain,
( ~ spl14
| ~ spl13
| e1 = e2 ),
inference(superposition,[status(thm)],[p17,p18]) ).
cnf(p1394,plain,
( ~ spl14
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p847,c99]) ).
cnf(sct81,plain,
( ~ spl14
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p1394]) ).
fof(sdef15,definition,
( spl15
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(naming,[spl15])],[avatar_definition]) ).
cnf(p19,plain,
( ~ spl15
| op(e0,e3) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef15]) ).
cnf(p855,plain,
( ~ spl15
| ~ spl14
| e2 = e3 ),
inference(superposition,[status(thm)],[p18,p19]) ).
cnf(c101,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1430,plain,
( ~ spl15
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p855,c101]) ).
cnf(sct82,plain,
( ~ spl15
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p1430]) ).
cnf(p825,plain,
( ~ spl10
| ~ spl8
| e0 = e2 ),
inference(superposition,[status(thm)],[p11,p13]) ).
cnf(p1464,plain,
( ~ spl10
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p825,c97]) ).
cnf(sct83,plain,
( ~ spl10
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1464]) ).
cnf(p835,plain,
( ~ spl11
| ~ spl10
| e2 = e3 ),
inference(superposition,[status(thm)],[p13,p14]) ).
cnf(p1497,plain,
( ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p835,c101]) ).
cnf(sct84,plain,
( ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p1497]) ).
cnf(p853,plain,
( ~ spl15
| ~ spl13
| e1 = e3 ),
inference(superposition,[status(thm)],[p17,p19]) ).
cnf(p1532,plain,
( ~ spl15
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p853,c100]) ).
cnf(sct85,plain,
( ~ spl15
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p1532]) ).
cnf(p807,plain,
( ~ spl6
| ~ spl5
| e1 = e2 ),
inference(superposition,[status(thm)],[p7,p8]) ).
cnf(p1599,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p807,c99]) ).
cnf(sct86,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p1599]) ).
cnf(p813,plain,
( ~ spl7
| ~ spl5
| e1 = e3 ),
inference(superposition,[status(thm)],[p7,p9]) ).
cnf(p1638,plain,
( ~ spl7
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p813,c100]) ).
cnf(sct87,plain,
( ~ spl7
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p1638]) ).
cnf(p831,plain,
( ~ spl11
| ~ spl8
| e0 = e3 ),
inference(superposition,[status(thm)],[p11,p14]) ).
cnf(p1671,plain,
( ~ spl11
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p831,c98]) ).
cnf(sct88,plain,
( ~ spl11
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1671]) ).
cnf(p815,plain,
( ~ spl7
| ~ spl6
| e2 = e3 ),
inference(superposition,[status(thm)],[p8,p9]) ).
cnf(p1709,plain,
( ~ spl7
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p815,c101]) ).
cnf(sct89,plain,
( ~ spl7
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1709]) ).
cnf(p851,plain,
( ~ spl15
| ~ spl12
| e0 = e3 ),
inference(superposition,[status(thm)],[p16,p19]) ).
cnf(p1752,plain,
( ~ spl15
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p851,c98]) ).
cnf(sct90,plain,
( ~ spl15
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1752]) ).
fof(sdef16,definition,
( spl16
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(naming,[spl16])],[avatar_definition]) ).
cnf(p21,plain,
( ~ spl16
| op(e1,e0) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef16]) ).
fof(sdef17,definition,
( spl17
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(naming,[spl17])],[avatar_definition]) ).
cnf(p22,plain,
( ~ spl17
| op(e1,e0) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef17]) ).
cnf(p861,plain,
( ~ spl17
| ~ spl16
| e0 = e1 ),
inference(superposition,[status(thm)],[p21,p22]) ).
cnf(p1804,plain,
( ~ spl17
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p861,c96]) ).
cnf(sct91,plain,
( ~ spl17
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1804]) ).
fof(sdef18,definition,
( spl18
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(naming,[spl18])],[avatar_definition]) ).
cnf(p23,plain,
( ~ spl18
| op(e1,e0) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef18]) ).
cnf(p865,plain,
( ~ spl18
| ~ spl16
| e0 = e2 ),
inference(superposition,[status(thm)],[p21,p23]) ).
cnf(p1862,plain,
( ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p865,c97]) ).
cnf(sct92,plain,
( ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1862]) ).
fof(sdef19,definition,
( spl19
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(naming,[spl19])],[avatar_definition]) ).
cnf(p24,plain,
( ~ spl19
| op(e1,e0) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef19]) ).
cnf(p871,plain,
( ~ spl19
| ~ spl16
| e0 = e3 ),
inference(superposition,[status(thm)],[p21,p24]) ).
cnf(p1898,plain,
( ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p871,c98]) ).
cnf(sct93,plain,
( ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1898]) ).
fof(sdef20,definition,
( spl20
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(naming,[spl20])],[avatar_definition]) ).
cnf(p26,plain,
( ~ spl20
| op(e1,e1) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef20]) ).
fof(sdef21,definition,
( spl21
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(naming,[spl21])],[avatar_definition]) ).
cnf(p27,plain,
( ~ spl21
| op(e1,e1) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef21]) ).
cnf(p881,plain,
( ~ spl21
| ~ spl20
| e0 = e1 ),
inference(superposition,[status(thm)],[p26,p27]) ).
cnf(p1929,plain,
( ~ spl21
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p881,c96]) ).
cnf(sct94,plain,
( ~ spl21
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1929]) ).
fof(sdef22,definition,
( spl22
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(naming,[spl22])],[avatar_definition]) ).
cnf(p28,plain,
( ~ spl22
| op(e1,e1) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef22]) ).
cnf(p885,plain,
( ~ spl22
| ~ spl20
| e0 = e2 ),
inference(superposition,[status(thm)],[p26,p28]) ).
cnf(p1965,plain,
( ~ spl22
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p885,c97]) ).
cnf(sct95,plain,
( ~ spl22
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1965]) ).
fof(sdef23,definition,
( spl23
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(naming,[spl23])],[avatar_definition]) ).
cnf(p29,plain,
( ~ spl23
| op(e1,e1) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef23]) ).
cnf(p891,plain,
( ~ spl23
| ~ spl20
| e0 = e3 ),
inference(superposition,[status(thm)],[p26,p29]) ).
cnf(p2011,plain,
( ~ spl23
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p891,c98]) ).
cnf(sct96,plain,
( ~ spl23
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p2011]) ).
fof(sdef24,definition,
( spl24
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(naming,[spl24])],[avatar_definition]) ).
cnf(p31,plain,
( ~ spl24
| op(e1,e2) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef24]) ).
fof(sdef25,definition,
( spl25
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(naming,[spl25])],[avatar_definition]) ).
cnf(p32,plain,
( ~ spl25
| op(e1,e2) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef25]) ).
cnf(p901,plain,
( ~ spl25
| ~ spl24
| e0 = e1 ),
inference(superposition,[status(thm)],[p31,p32]) ).
cnf(p2036,plain,
( ~ spl25
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p901,c96]) ).
cnf(sct97,plain,
( ~ spl25
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p2036]) ).
fof(sdef26,definition,
( spl26
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl26])],[avatar_definition]) ).
cnf(p33,plain,
( ~ spl26
| op(e1,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef26]) ).
cnf(p907,plain,
( ~ spl26
| ~ spl25
| e1 = e2 ),
inference(superposition,[status(thm)],[p32,p33]) ).
cnf(p2070,plain,
( ~ spl26
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p907,c99]) ).
cnf(sct98,plain,
( ~ spl26
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p2070]) ).
fof(sdef27,definition,
( spl27
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(naming,[spl27])],[avatar_definition]) ).
cnf(p34,plain,
( ~ spl27
| op(e1,e2) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef27]) ).
cnf(p913,plain,
( ~ spl27
| ~ spl25
| e1 = e3 ),
inference(superposition,[status(thm)],[p32,p34]) ).
cnf(p2103,plain,
( ~ spl27
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p913,c100]) ).
cnf(sct99,plain,
( ~ spl27
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p2103]) ).
fof(sdef28,definition,
( spl28
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(naming,[spl28])],[avatar_definition]) ).
cnf(p36,plain,
( ~ spl28
| op(e1,e3) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef28]) ).
fof(sdef29,definition,
( spl29
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(naming,[spl29])],[avatar_definition]) ).
cnf(p37,plain,
( ~ spl29
| op(e1,e3) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef29]) ).
cnf(p921,plain,
( ~ spl29
| ~ spl28
| e0 = e1 ),
inference(superposition,[status(thm)],[p36,p37]) ).
cnf(p2129,plain,
( ~ spl29
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p921,c96]) ).
cnf(sct100,plain,
( ~ spl29
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p2129]) ).
fof(sdef30,definition,
( spl30
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(naming,[spl30])],[avatar_definition]) ).
cnf(p38,plain,
( ~ spl30
| op(e1,e3) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef30]) ).
cnf(p925,plain,
( ~ spl30
| ~ spl28
| e0 = e2 ),
inference(superposition,[status(thm)],[p36,p38]) ).
cnf(p2162,plain,
( ~ spl30
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p925,c97]) ).
cnf(sct101,plain,
( ~ spl30
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p2162]) ).
cnf(p927,plain,
( ~ spl30
| ~ spl29
| e1 = e2 ),
inference(superposition,[status(thm)],[p37,p38]) ).
cnf(p2189,plain,
( ~ spl30
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p927,c99]) ).
cnf(sct102,plain,
( ~ spl30
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p2189]) ).
fof(sdef31,definition,
( spl31
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(naming,[spl31])],[avatar_definition]) ).
cnf(p39,plain,
( ~ spl31
| op(e1,e3) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef31]) ).
cnf(p935,plain,
( ~ spl31
| ~ spl30
| e2 = e3 ),
inference(superposition,[status(thm)],[p38,p39]) ).
cnf(p2222,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p935,c101]) ).
cnf(sct103,plain,
( ~ spl31
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p2222]) ).
cnf(p905,plain,
( ~ spl26
| ~ spl24
| e0 = e2 ),
inference(superposition,[status(thm)],[p31,p33]) ).
cnf(p2273,plain,
( ~ spl26
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p905,c97]) ).
cnf(sct104,plain,
( ~ spl26
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p2273]) ).
cnf(p915,plain,
( ~ spl27
| ~ spl26
| e2 = e3 ),
inference(superposition,[status(thm)],[p33,p34]) ).
cnf(p2302,plain,
( ~ spl27
| ~ spl26
| $false ),
inference(resolution,[status(thm)],[p915,c101]) ).
cnf(sct105,plain,
( ~ spl27
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p2302]) ).
cnf(p933,plain,
( ~ spl31
| ~ spl29
| e1 = e3 ),
inference(superposition,[status(thm)],[p37,p39]) ).
cnf(p2346,plain,
( ~ spl31
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p933,c100]) ).
cnf(sct106,plain,
( ~ spl31
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p2346]) ).
cnf(p887,plain,
( ~ spl22
| ~ spl21
| e1 = e2 ),
inference(superposition,[status(thm)],[p27,p28]) ).
cnf(p2404,plain,
( ~ spl22
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p887,c99]) ).
cnf(sct107,plain,
( ~ spl22
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2404]) ).
cnf(p893,plain,
( ~ spl23
| ~ spl21
| e1 = e3 ),
inference(superposition,[status(thm)],[p27,p29]) ).
cnf(p2444,plain,
( ~ spl23
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p893,c100]) ).
cnf(sct108,plain,
( ~ spl23
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2444]) ).
cnf(p911,plain,
( ~ spl27
| ~ spl24
| e0 = e3 ),
inference(superposition,[status(thm)],[p31,p34]) ).
cnf(p2495,plain,
( ~ spl27
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p911,c98]) ).
cnf(sct109,plain,
( ~ spl27
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p2495]) ).
cnf(p895,plain,
( ~ spl23
| ~ spl22
| e2 = e3 ),
inference(superposition,[status(thm)],[p28,p29]) ).
cnf(p2525,plain,
( ~ spl23
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p895,c101]) ).
cnf(sct110,plain,
( ~ spl23
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2525]) ).
cnf(p931,plain,
( ~ spl31
| ~ spl28
| e0 = e3 ),
inference(superposition,[status(thm)],[p36,p39]) ).
cnf(p2579,plain,
( ~ spl31
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p931,c98]) ).
cnf(sct111,plain,
( ~ spl31
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p2579]) ).
fof(sdef32,definition,
( spl32
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(naming,[spl32])],[avatar_definition]) ).
cnf(p41,plain,
( ~ spl32
| op(e2,e0) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef32]) ).
fof(sdef33,definition,
( spl33
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(naming,[spl33])],[avatar_definition]) ).
cnf(p42,plain,
( ~ spl33
| op(e2,e0) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef33]) ).
cnf(p941,plain,
( ~ spl33
| ~ spl32
| e0 = e1 ),
inference(superposition,[status(thm)],[p41,p42]) ).
cnf(p2620,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p941,c96]) ).
cnf(sct112,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p2620]) ).
fof(sdef65,definition,
( spl65
<=> op(e0,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl65])],[avatar_definition]) ).
cnf(p168,plain,
( ~ spl65
| op(e0,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef65]) ).
cnf(p2621,plain,
( ~ spl65
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p168,p1]) ).
cnf(sct113,plain,
( ~ spl65
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2621]) ).
fof(sdef66,definition,
( spl66
<=> op(e1,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl66])],[avatar_definition]) ).
cnf(p170,plain,
( ~ spl66
| op(e1,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef66]) ).
cnf(p2625,plain,
( ~ spl66
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p170,p27]) ).
cnf(sct114,plain,
( ~ spl66
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2625]) ).
fof(sdef69,definition,
( spl69
<=> op(e2,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl69])],[avatar_definition]) ).
cnf(p176,plain,
( ~ spl69
| op(e2,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef69]) ).
fof(sdef42,definition,
( spl42
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl42])],[avatar_definition]) ).
cnf(p53,plain,
( ~ spl42
| op(e2,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef42]) ).
cnf(p2627,plain,
( ~ spl69
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p176,p53]) ).
cnf(sct115,plain,
( ~ spl69
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p2627]) ).
cnf(p787,plain,
( ~ spl2
| ~ spl1
| e1 = e2 ),
inference(superposition,[status(thm)],[p2,p3]) ).
cnf(p2658,plain,
( ~ spl2
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p787,c99]) ).
cnf(sct116,plain,
( ~ spl2
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2658]) ).
cnf(p793,plain,
( ~ spl3
| ~ spl1
| e1 = e3 ),
inference(superposition,[status(thm)],[p2,p4]) ).
cnf(p2696,plain,
( ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p793,c100]) ).
cnf(sct117,plain,
( ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2696]) ).
fof(sdef72,definition,
( spl72
<=> op(e3,e3) != e3 ),
introduced(definition,[new_symbols(naming,[spl72])],[avatar_definition]) ).
cnf(p182,plain,
( ~ spl72
| op(e3,e3) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef72]) ).
fof(sdef63,definition,
( spl63
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(naming,[spl63])],[avatar_definition]) ).
cnf(p79,plain,
( ~ spl63
| op(e3,e3) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef63]) ).
cnf(p2697,plain,
( ~ spl72
| ~ spl63
| $false ),
inference(resolution,[status(thm)],[p182,p79]) ).
cnf(sct118,plain,
( ~ spl72
| ~ spl63 ),
inference(avatar_contradiction_clause,[status(thm)],[p2697]) ).
fof(sdef34,definition,
( spl34
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(naming,[spl34])],[avatar_definition]) ).
cnf(p43,plain,
( ~ spl34
| op(e2,e0) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef34]) ).
cnf(p945,plain,
( ~ spl34
| ~ spl32
| e0 = e2 ),
inference(superposition,[status(thm)],[p41,p43]) ).
cnf(p2735,plain,
( ~ spl34
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p945,c97]) ).
cnf(sct119,plain,
( ~ spl34
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p2735]) ).
fof(sdef77,definition,
( spl77
<=> op(e0,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl77])],[avatar_definition]) ).
cnf(p192,plain,
( ~ spl77
| op(e0,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef77]) ).
cnf(p2736,plain,
( ~ spl77
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p192,p6]) ).
cnf(sct120,plain,
( ~ spl77
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2736]) ).
fof(sdef79,definition,
( spl79
<=> op(e0,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl79])],[avatar_definition]) ).
cnf(p196,plain,
( ~ spl79
| op(e0,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef79]) ).
cnf(p2737,plain,
( ~ spl79
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p196,p2]) ).
cnf(sct121,plain,
( ~ spl79
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2737]) ).
cnf(p947,plain,
( ~ spl34
| ~ spl33
| e1 = e2 ),
inference(superposition,[status(thm)],[p42,p43]) ).
cnf(p2766,plain,
( ~ spl34
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p947,c99]) ).
cnf(sct122,plain,
( ~ spl34
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p2766]) ).
fof(sdef35,definition,
( spl35
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(naming,[spl35])],[avatar_definition]) ).
cnf(p44,plain,
( ~ spl35
| op(e2,e0) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef35]) ).
cnf(p953,plain,
( ~ spl35
| ~ spl34
| e2 = e3 ),
inference(superposition,[status(thm)],[p43,p44]) ).
cnf(p2795,plain,
( ~ spl35
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p953,c101]) ).
cnf(sct123,plain,
( ~ spl35
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p2795]) ).
fof(sdef36,definition,
( spl36
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(naming,[spl36])],[avatar_definition]) ).
cnf(p46,plain,
( ~ spl36
| op(e2,e1) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef36]) ).
fof(sdef37,definition,
( spl37
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(naming,[spl37])],[avatar_definition]) ).
cnf(p47,plain,
( ~ spl37
| op(e2,e1) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef37]) ).
cnf(p955,plain,
( ~ spl37
| ~ spl36
| e0 = e1 ),
inference(superposition,[status(thm)],[p46,p47]) ).
cnf(p2816,plain,
( ~ spl37
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p955,c96]) ).
cnf(sct124,plain,
( ~ spl37
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p2816]) ).
fof(sdef95,definition,
( spl95
<=> op(e1,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl95])],[avatar_definition]) ).
cnf(p228,plain,
( ~ spl95
| op(e1,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef95]) ).
cnf(p2817,plain,
( ~ spl95
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p228,p21]) ).
cnf(sct125,plain,
( ~ spl95
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2817]) ).
fof(sdef38,definition,
( spl38
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(naming,[spl38])],[avatar_definition]) ).
cnf(p48,plain,
( ~ spl38
| op(e2,e1) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef38]) ).
cnf(p959,plain,
( ~ spl38
| ~ spl37
| e1 = e2 ),
inference(superposition,[status(thm)],[p47,p48]) ).
cnf(p2847,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p959,c99]) ).
cnf(sct126,plain,
( ~ spl38
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2847]) ).
fof(sdef39,definition,
( spl39
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(naming,[spl39])],[avatar_definition]) ).
cnf(p49,plain,
( ~ spl39
| op(e2,e1) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef39]) ).
cnf(p963,plain,
( ~ spl39
| ~ spl37
| e1 = e3 ),
inference(superposition,[status(thm)],[p47,p49]) ).
cnf(p2882,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p963,c100]) ).
cnf(sct127,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2882]) ).
fof(sdef40,definition,
( spl40
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(naming,[spl40])],[avatar_definition]) ).
cnf(p51,plain,
( ~ spl40
| op(e2,e2) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef40]) ).
fof(sdef41,definition,
( spl41
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(naming,[spl41])],[avatar_definition]) ).
cnf(p52,plain,
( ~ spl41
| op(e2,e2) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef41]) ).
cnf(p967,plain,
( ~ spl41
| ~ spl40
| e0 = e1 ),
inference(superposition,[status(thm)],[p51,p52]) ).
cnf(p2903,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p967,c96]) ).
cnf(sct128,plain,
( ~ spl41
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2903]) ).
fof(sdef43,definition,
( spl43
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(naming,[spl43])],[avatar_definition]) ).
cnf(p54,plain,
( ~ spl43
| op(e2,e2) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef43]) ).
cnf(p974,plain,
( ~ spl43
| ~ spl40
| e0 = e3 ),
inference(superposition,[status(thm)],[p51,p54]) ).
cnf(p2948,plain,
( ~ spl43
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p974,c98]) ).
cnf(sct129,plain,
( ~ spl43
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2948]) ).
fof(sdef44,definition,
( spl44
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(naming,[spl44])],[avatar_definition]) ).
cnf(p56,plain,
( ~ spl44
| op(e2,e3) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef44]) ).
fof(sdef45,definition,
( spl45
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(naming,[spl45])],[avatar_definition]) ).
cnf(p57,plain,
( ~ spl45
| op(e2,e3) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef45]) ).
cnf(p980,plain,
( ~ spl45
| ~ spl44
| e0 = e1 ),
inference(superposition,[status(thm)],[p56,p57]) ).
cnf(p2971,plain,
( ~ spl45
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p980,c96]) ).
cnf(sct130,plain,
( ~ spl45
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p2971]) ).
fof(sdef46,definition,
( spl46
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(naming,[spl46])],[avatar_definition]) ).
cnf(p58,plain,
( ~ spl46
| op(e2,e3) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef46]) ).
cnf(p982,plain,
( ~ spl46
| ~ spl44
| e0 = e2 ),
inference(superposition,[status(thm)],[p56,p58]) ).
cnf(p3001,plain,
( ~ spl46
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p982,c97]) ).
cnf(sct131,plain,
( ~ spl46
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p3001]) ).
fof(sdef47,definition,
( spl47
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(naming,[spl47])],[avatar_definition]) ).
cnf(p59,plain,
( ~ spl47
| op(e2,e3) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef47]) ).
cnf(p986,plain,
( ~ spl47
| ~ spl44
| e0 = e3 ),
inference(superposition,[status(thm)],[p56,p59]) ).
cnf(p3044,plain,
( ~ spl47
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p986,c98]) ).
cnf(sct132,plain,
( ~ spl47
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p3044]) ).
fof(sdef129,definition,
( spl129
<=> op(e2,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl129])],[avatar_definition]) ).
cnf(p298,plain,
( ~ spl129
| op(e2,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef129]) ).
cnf(p3046,plain,
( ~ spl129
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p298,p51]) ).
cnf(sct133,plain,
( ~ spl129
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p3046]) ).
fof(sdef131,definition,
( spl131
<=> op(e2,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl131])],[avatar_definition]) ).
cnf(p302,plain,
( ~ spl131
| op(e2,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef131]) ).
cnf(p3047,plain,
( ~ spl131
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p302,p43]) ).
cnf(sct134,plain,
( ~ spl131
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p3047]) ).
cnf(p984,plain,
( ~ spl46
| ~ spl45
| e1 = e2 ),
inference(superposition,[status(thm)],[p57,p58]) ).
cnf(p3072,plain,
( ~ spl46
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p984,c99]) ).
cnf(sct135,plain,
( ~ spl46
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p3072]) ).
cnf(p988,plain,
( ~ spl47
| ~ spl45
| e1 = e3 ),
inference(superposition,[status(thm)],[p57,p59]) ).
cnf(p3114,plain,
( ~ spl47
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p988,c100]) ).
cnf(sct136,plain,
( ~ spl47
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p3114]) ).
fof(sdef141,definition,
( spl141
<=> op(e3,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl141])],[avatar_definition]) ).
cnf(p322,plain,
( ~ spl141
| op(e3,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef141]) ).
fof(sdef48,definition,
( spl48
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(naming,[spl48])],[avatar_definition]) ).
cnf(p61,plain,
( ~ spl48
| op(e3,e0) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef48]) ).
cnf(p3146,plain,
( ~ spl141
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p322,p61]) ).
cnf(sct137,plain,
( ~ spl141
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p3146]) ).
cnf(p990,plain,
( ~ spl47
| ~ spl46
| e2 = e3 ),
inference(superposition,[status(thm)],[p58,p59]) ).
cnf(p3147,plain,
( ~ spl47
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p990,c101]) ).
cnf(sct138,plain,
( ~ spl47
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p3147]) ).
fof(sdef49,definition,
( spl49
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(naming,[spl49])],[avatar_definition]) ).
cnf(p62,plain,
( ~ spl49
| op(e3,e0) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef49]) ).
cnf(p992,plain,
( ~ spl49
| ~ spl48
| e0 = e1 ),
inference(superposition,[status(thm)],[p61,p62]) ).
cnf(p3165,plain,
( ~ spl49
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p992,c96]) ).
cnf(sct139,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p3165]) ).
fof(sdef146,definition,
( spl146
<=> op(e3,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl146])],[avatar_definition]) ).
cnf(p333,plain,
( ~ spl146
| op(e3,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef146]) ).
fof(sdef52,definition,
( spl52
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(naming,[spl52])],[avatar_definition]) ).
cnf(p66,plain,
( ~ spl52
| op(e3,e1) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef52]) ).
cnf(p3166,plain,
( ~ spl146
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p333,p66]) ).
cnf(sct140,plain,
( ~ spl146
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p3166]) ).
fof(sdef50,definition,
( spl50
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(naming,[spl50])],[avatar_definition]) ).
cnf(p63,plain,
( ~ spl50
| op(e3,e0) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef50]) ).
cnf(p994,plain,
( ~ spl50
| ~ spl48
| e0 = e2 ),
inference(superposition,[status(thm)],[p61,p63]) ).
cnf(p3193,plain,
( ~ spl50
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p994,c97]) ).
cnf(sct141,plain,
( ~ spl50
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p3193]) ).
fof(sdef51,definition,
( spl51
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(naming,[spl51])],[avatar_definition]) ).
cnf(p64,plain,
( ~ spl51
| op(e3,e0) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef51]) ).
cnf(p999,plain,
( ~ spl51
| ~ spl48
| e0 = e3 ),
inference(superposition,[status(thm)],[p61,p64]) ).
cnf(p3236,plain,
( ~ spl51
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p999,c98]) ).
cnf(sct142,plain,
( ~ spl51
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p3236]) ).
fof(sdef152,definition,
( spl152
<=> op(e3,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl152])],[avatar_definition]) ).
cnf(p345,plain,
( ~ spl152
| op(e3,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef152]) ).
fof(sdef56,definition,
( spl56
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(naming,[spl56])],[avatar_definition]) ).
cnf(p71,plain,
( ~ spl56
| op(e3,e2) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef56]) ).
cnf(p3237,plain,
( ~ spl152
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p345,p71]) ).
cnf(sct143,plain,
( ~ spl152
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p3237]) ).
cnf(p996,plain,
( ~ spl50
| ~ spl49
| e1 = e2 ),
inference(superposition,[status(thm)],[p62,p63]) ).
cnf(p3261,plain,
( ~ spl50
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p996,c99]) ).
cnf(sct144,plain,
( ~ spl50
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p3261]) ).
cnf(p1001,plain,
( ~ spl51
| ~ spl49
| e1 = e3 ),
inference(superposition,[status(thm)],[p62,p64]) ).
cnf(p3299,plain,
( ~ spl51
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p1001,c100]) ).
cnf(sct145,plain,
( ~ spl51
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p3299]) ).
fof(sdef158,definition,
( spl158
<=> op(e3,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl158])],[avatar_definition]) ).
cnf(p357,plain,
( ~ spl158
| op(e3,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef158]) ).
fof(sdef60,definition,
( spl60
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(naming,[spl60])],[avatar_definition]) ).
cnf(p76,plain,
( ~ spl60
| op(e3,e3) = e0 ),
inference(avatar_component_clause,[status(thm)],[sdef60]) ).
cnf(p3300,plain,
( ~ spl158
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p357,p76]) ).
cnf(sct146,plain,
( ~ spl158
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p3300]) ).
cnf(p1003,plain,
( ~ spl51
| ~ spl50
| e2 = e3 ),
inference(superposition,[status(thm)],[p63,p64]) ).
cnf(p3330,plain,
( ~ spl51
| ~ spl50
| $false ),
inference(resolution,[status(thm)],[p1003,c101]) ).
cnf(sct147,plain,
( ~ spl51
| ~ spl50 ),
inference(avatar_contradiction_clause,[status(thm)],[p3330]) ).
fof(sdef160,definition,
( spl160
<=> op(e3,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl160])],[avatar_definition]) ).
cnf(p361,plain,
( ~ spl160
| op(e3,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef160]) ).
cnf(p3331,plain,
( ~ spl160
| ~ spl51
| $false ),
inference(resolution,[status(thm)],[p361,p64]) ).
cnf(sct148,plain,
( ~ spl160
| ~ spl51 ),
inference(avatar_contradiction_clause,[status(thm)],[p3331]) ).
fof(sdef53,definition,
( spl53
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(naming,[spl53])],[avatar_definition]) ).
cnf(p67,plain,
( ~ spl53
| op(e3,e1) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef53]) ).
cnf(p1008,plain,
( ~ spl53
| ~ spl52
| e0 = e1 ),
inference(superposition,[status(thm)],[p66,p67]) ).
cnf(p3353,plain,
( ~ spl53
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1008,c96]) ).
cnf(sct149,plain,
( ~ spl53
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p3353]) ).
fof(sdef54,definition,
( spl54
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(naming,[spl54])],[avatar_definition]) ).
cnf(p68,plain,
( ~ spl54
| op(e3,e1) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef54]) ).
cnf(p1032,plain,
( ~ spl54
| ~ spl52
| e0 = e2 ),
inference(superposition,[status(thm)],[p66,p68]) ).
cnf(p3386,plain,
( ~ spl54
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1032,c97]) ).
cnf(sct150,plain,
( ~ spl54
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p3386]) ).
fof(sdef55,definition,
( spl55
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(naming,[spl55])],[avatar_definition]) ).
cnf(p69,plain,
( ~ spl55
| op(e3,e1) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef55]) ).
cnf(p1036,plain,
( ~ spl55
| ~ spl52
| e0 = e3 ),
inference(superposition,[status(thm)],[p66,p69]) ).
cnf(p3429,plain,
( ~ spl55
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1036,c98]) ).
cnf(sct151,plain,
( ~ spl55
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p3429]) ).
cnf(p1034,plain,
( ~ spl54
| ~ spl53
| e1 = e2 ),
inference(superposition,[status(thm)],[p67,p68]) ).
cnf(p3453,plain,
( ~ spl54
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p1034,c99]) ).
cnf(sct152,plain,
( ~ spl54
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p3453]) ).
fof(sdef191,definition,
( spl191
<=> op(e1,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl191])],[avatar_definition]) ).
cnf(p429,plain,
( ~ spl191
| op(e1,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef191]) ).
cnf(p3454,plain,
( ~ spl191
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p429,p32]) ).
cnf(sct153,plain,
( ~ spl191
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p3454]) ).
cnf(p1038,plain,
( ~ spl55
| ~ spl53
| e1 = e3 ),
inference(superposition,[status(thm)],[p67,p69]) ).
cnf(p3494,plain,
( ~ spl55
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p1038,c100]) ).
cnf(sct154,plain,
( ~ spl55
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p3494]) ).
fof(sdef193,definition,
( spl193
<=> op(e1,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl193])],[avatar_definition]) ).
cnf(p433,plain,
( ~ spl193
| op(e1,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef193]) ).
cnf(p3495,plain,
( ~ spl193
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p433,p28]) ).
cnf(sct155,plain,
( ~ spl193
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p3495]) ).
cnf(p1040,plain,
( ~ spl55
| ~ spl54
| e2 = e3 ),
inference(superposition,[status(thm)],[p68,p69]) ).
cnf(p3528,plain,
( ~ spl55
| ~ spl54
| $false ),
inference(resolution,[status(thm)],[p1040,c101]) ).
cnf(sct156,plain,
( ~ spl55
| ~ spl54 ),
inference(avatar_contradiction_clause,[status(thm)],[p3528]) ).
fof(sdef57,definition,
( spl57
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(naming,[spl57])],[avatar_definition]) ).
cnf(p72,plain,
( ~ spl57
| op(e3,e2) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef57]) ).
cnf(p1042,plain,
( ~ spl57
| ~ spl56
| e0 = e1 ),
inference(superposition,[status(thm)],[p71,p72]) ).
cnf(p3556,plain,
( ~ spl57
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1042,c96]) ).
cnf(sct157,plain,
( ~ spl57
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p3556]) ).
fof(sdef207,definition,
( spl207
<=> op(e2,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl207])],[avatar_definition]) ).
cnf(p463,plain,
( ~ spl207
| op(e2,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef207]) ).
cnf(p3557,plain,
( ~ spl207
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p463,p47]) ).
cnf(sct158,plain,
( ~ spl207
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p3557]) ).
fof(sdef58,definition,
( spl58
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(naming,[spl58])],[avatar_definition]) ).
cnf(p73,plain,
( ~ spl58
| op(e3,e2) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef58]) ).
cnf(p1067,plain,
( ~ spl58
| ~ spl56
| e0 = e2 ),
inference(superposition,[status(thm)],[p71,p73]) ).
cnf(p3588,plain,
( ~ spl58
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1067,c97]) ).
cnf(sct159,plain,
( ~ spl58
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p3588]) ).
fof(sdef59,definition,
( spl59
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(naming,[spl59])],[avatar_definition]) ).
cnf(p74,plain,
( ~ spl59
| op(e3,e2) = e3 ),
inference(avatar_component_clause,[status(thm)],[sdef59]) ).
cnf(p1094,plain,
( ~ spl59
| ~ spl56
| e0 = e3 ),
inference(superposition,[status(thm)],[p71,p74]) ).
cnf(p3630,plain,
( ~ spl59
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1094,c98]) ).
cnf(sct160,plain,
( ~ spl59
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p3630]) ).
cnf(p1069,plain,
( ~ spl58
| ~ spl57
| e1 = e2 ),
inference(superposition,[status(thm)],[p72,p73]) ).
cnf(p3659,plain,
( ~ spl58
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p1069,c99]) ).
cnf(sct161,plain,
( ~ spl58
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p3659]) ).
cnf(p1096,plain,
( ~ spl59
| ~ spl57
| e1 = e3 ),
inference(superposition,[status(thm)],[p72,p74]) ).
cnf(p3698,plain,
( ~ spl59
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p1096,c100]) ).
cnf(sct162,plain,
( ~ spl59
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p3698]) ).
cnf(p1098,plain,
( ~ spl59
| ~ spl58
| e2 = e3 ),
inference(superposition,[status(thm)],[p73,p74]) ).
cnf(p3736,plain,
( ~ spl59
| ~ spl58
| $false ),
inference(resolution,[status(thm)],[p1098,c101]) ).
cnf(sct163,plain,
( ~ spl59
| ~ spl58 ),
inference(avatar_contradiction_clause,[status(thm)],[p3736]) ).
fof(sdef61,definition,
( spl61
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(naming,[spl61])],[avatar_definition]) ).
cnf(p77,plain,
( ~ spl61
| op(e3,e3) = e1 ),
inference(avatar_component_clause,[status(thm)],[sdef61]) ).
cnf(p1156,plain,
( ~ spl61
| ~ spl60
| e0 = e1 ),
inference(superposition,[status(thm)],[p76,p77]) ).
cnf(p3767,plain,
( ~ spl61
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1156,c96]) ).
cnf(sct164,plain,
( ~ spl61
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p3767]) ).
fof(sdef239,definition,
( spl239
<=> op(e3,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl239])],[avatar_definition]) ).
cnf(p531,plain,
( ~ spl239
| op(e3,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef239]) ).
cnf(p3769,plain,
( ~ spl239
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p531,p77]) ).
cnf(sct165,plain,
( ~ spl239
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p3769]) ).
fof(sdef241,definition,
( spl241
<=> op(e3,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl241])],[avatar_definition]) ).
cnf(p535,plain,
( ~ spl241
| op(e3,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef241]) ).
cnf(p3808,plain,
( ~ spl241
| ~ spl55
| $false ),
inference(resolution,[status(thm)],[p535,p69]) ).
cnf(sct166,plain,
( ~ spl241
| ~ spl55 ),
inference(avatar_contradiction_clause,[status(thm)],[p3808]) ).
cnf(p976,plain,
( ~ spl43
| ~ spl41
| e1 = e3 ),
inference(superposition,[status(thm)],[p52,p54]) ).
cnf(p3809,plain,
( ~ spl43
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p976,c100]) ).
cnf(sct167,plain,
( ~ spl43
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p3809]) ).
fof(sdef253,definition,
( spl253
<=> op(e0,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl253])],[avatar_definition]) ).
cnf(p563,plain,
( ~ spl253
| op(e0,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef253]) ).
cnf(p3810,plain,
( ~ spl253
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p563,p13]) ).
cnf(sct168,plain,
( ~ spl253
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3810]) ).
fof(sdef62,definition,
( spl62
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(naming,[spl62])],[avatar_definition]) ).
cnf(p78,plain,
( ~ spl62
| op(e3,e3) = e2 ),
inference(avatar_component_clause,[status(thm)],[sdef62]) ).
cnf(p1160,plain,
( ~ spl62
| ~ spl61
| e1 = e2 ),
inference(superposition,[status(thm)],[p77,p78]) ).
cnf(p3840,plain,
( ~ spl62
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p1160,c99]) ).
cnf(sct169,plain,
( ~ spl62
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p3840]) ).
cnf(p1158,plain,
( ~ spl62
| ~ spl60
| e0 = e2 ),
inference(superposition,[status(thm)],[p76,p78]) ).
cnf(p3891,plain,
( ~ spl62
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1158,c97]) ).
cnf(sct170,plain,
( ~ spl62
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p3891]) ).
cnf(p795,plain,
( ~ spl3
| ~ spl2
| e2 = e3 ),
inference(superposition,[status(thm)],[p3,p4]) ).
cnf(p3950,plain,
( ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p795,c101]) ).
cnf(sct171,plain,
( ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3950]) ).
cnf(c314,plain,
( def70
| ~ def69
| ~ def68 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p3841,plain,
( ~ spl251
| def70
| ~ def69 ),
inference(resolution,[status(thm)],[c314,p560]) ).
cnf(p3963,plain,
( ~ spl254
| ~ spl251
| def70 ),
inference(resolution,[status(thm)],[p3841,p565]) ).
fof(sdef255,definition,
( spl255
<=> ~ def70 ),
introduced(definition,[new_symbols(naming,[spl255])],[avatar_definition]) ).
cnf(p568,plain,
( ~ spl255
| ~ def70 ),
inference(avatar_component_clause,[status(thm)],[sdef255]) ).
cnf(p3964,plain,
( ~ spl255
| ~ spl254
| ~ spl251
| $false ),
inference(resolution,[status(thm)],[p3963,p568]) ).
cnf(sct172,plain,
( ~ spl255
| ~ spl254
| ~ spl251 ),
inference(avatar_contradiction_clause,[status(thm)],[p3964]) ).
fof(sdef91,definition,
( spl91
<=> op(e0,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl91])],[avatar_definition]) ).
cnf(p220,plain,
( ~ spl91
| op(e0,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef91]) ).
cnf(p3977,plain,
( ~ spl91
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p4,p220]) ).
cnf(sct173,plain,
( ~ spl91
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3977]) ).
fof(sdef171,definition,
( spl171
<=> op(e0,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl171])],[avatar_definition]) ).
cnf(p385,plain,
( ~ spl171
| op(e0,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef171]) ).
cnf(p3988,plain,
( ~ spl171
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p12,p385]) ).
cnf(sct174,plain,
( ~ spl171
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p3988]) ).
fof(sdef197,definition,
( spl197
<=> op(e1,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl197])],[avatar_definition]) ).
cnf(p441,plain,
( ~ spl197
| op(e1,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef197]) ).
cnf(p4016,plain,
( ~ spl197
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p37,p441]) ).
cnf(sct175,plain,
( ~ spl197
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p4016]) ).
fof(sdef148,definition,
( spl148
<=> op(e3,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl148])],[avatar_definition]) ).
cnf(p337,plain,
( ~ spl148
| op(e3,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef148]) ).
cnf(p4018,plain,
( ~ spl148
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p62,p337]) ).
cnf(sct176,plain,
( ~ spl148
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p4018]) ).
fof(sdef177,definition,
( spl177
<=> op(e0,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl177])],[avatar_definition]) ).
cnf(p397,plain,
( ~ spl177
| op(e0,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef177]) ).
cnf(p8633,plain,
( ~ spl177
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p17,p397]) ).
cnf(sct177,plain,
( ~ spl177
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p8633]) ).
fof(sdef135,definition,
( spl135
<=> op(e2,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl135])],[avatar_definition]) ).
cnf(p310,plain,
( ~ spl135
| op(e2,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef135]) ).
cnf(p8707,plain,
( ~ spl135
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p56,p310]) ).
cnf(sct178,plain,
( ~ spl135
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p8707]) ).
cnf(p866,plain,
( ~ spl18
| ~ spl17
| e2 = e1 ),
inference(superposition,[status(thm)],[p23,p22]) ).
cnf(p2626,plain,
( ~ spl66
| ~ spl22
| e2 != e1 ),
inference(superposition,[status(thm)],[p28,p170]) ).
cnf(p8825,plain,
( ~ spl66
| ~ spl22
| ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p866,p2626]) ).
cnf(sct179,plain,
( ~ spl66
| ~ spl22
| ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p8825]) ).
cnf(p872,plain,
( ~ spl19
| ~ spl17
| e3 = e1 ),
inference(superposition,[status(thm)],[p24,p22]) ).
fof(sdef228,definition,
( spl228
<=> op(e3,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl228])],[avatar_definition]) ).
cnf(p508,plain,
( ~ spl228
| op(e3,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef228]) ).
cnf(p3699,plain,
( ~ spl228
| ~ spl55
| e3 != e1 ),
inference(superposition,[status(thm)],[p69,p508]) ).
cnf(p8865,plain,
( ~ spl228
| ~ spl55
| ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p872,p3699]) ).
cnf(sct180,plain,
( ~ spl228
| ~ spl55
| ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p8865]) ).
cnf(p874,plain,
( ~ spl19
| ~ spl18
| e3 = e2 ),
inference(superposition,[status(thm)],[p24,p23]) ).
fof(sdef235,definition,
( spl235
<=> op(e3,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl235])],[avatar_definition]) ).
cnf(p523,plain,
( ~ spl235
| op(e3,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef235]) ).
cnf(p3768,plain,
( ~ spl235
| ~ spl55
| e3 != e2 ),
inference(superposition,[status(thm)],[p69,p523]) ).
cnf(p8903,plain,
( ~ spl235
| ~ spl55
| ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p874,p3768]) ).
cnf(sct181,plain,
( ~ spl235
| ~ spl55
| ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p8903]) ).
cnf(p2628,plain,
( ~ spl69
| ~ spl43
| e3 != e2 ),
inference(superposition,[status(thm)],[p54,p176]) ).
cnf(p9081,plain,
( ~ spl69
| ~ spl43
| ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p874,p2628]) ).
cnf(sct182,plain,
( ~ spl69
| ~ spl43
| ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p9081]) ).
fof(sdef114,definition,
( spl114
<=> op(e1,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl114])],[avatar_definition]) ).
cnf(p267,plain,
( ~ spl114
| op(e1,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef114]) ).
cnf(p9115,plain,
( ~ spl114
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p24,p267]) ).
cnf(sct183,plain,
( ~ spl114
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p9115]) ).
fof(sdef106,definition,
( spl106
<=> op(e1,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl106])],[avatar_definition]) ).
cnf(p251,plain,
( ~ spl106
| op(e1,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef106]) ).
cnf(p9140,plain,
( ~ spl106
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p31,p251]) ).
cnf(sct184,plain,
( ~ spl106
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p9140]) ).
fof(sdef233,definition,
( spl233
<=> op(e3,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl233])],[avatar_definition]) ).
cnf(p519,plain,
( ~ spl233
| op(e3,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef233]) ).
cnf(p9166,plain,
( ~ spl233
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p72,p519]) ).
cnf(sct185,plain,
( ~ spl233
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p9166]) ).
fof(sdef112,definition,
( spl112
<=> op(e1,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl112])],[avatar_definition]) ).
cnf(p263,plain,
( ~ spl112
| op(e1,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef112]) ).
cnf(p10188,plain,
( ~ spl112
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p36,p263]) ).
cnf(sct186,plain,
( ~ spl112
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p10188]) ).
fof(f27,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f27_nnf,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c518,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p10223,plain,
( ~ spl61
| e1 != e1
| e0 != op(e1,e3)
| e2 != op(op(e1,e3),e3) ),
inference(superposition,[status(thm)],[p77,c518]) ).
cnf(p11117,plain,
( ~ spl61
| e0 != op(e1,e3)
| e2 != op(op(e1,e3),e3) ),
inference(equality_resolution,[status(thm)],[p10223]) ).
cnf(p11652,plain,
( ~ spl61
| ~ spl28
| e0 != e0
| e2 != op(e0,e3) ),
inference(superposition,[status(thm)],[p36,p11117]) ).
cnf(p12250,plain,
( ~ spl61
| ~ spl28
| e2 != op(e0,e3) ),
inference(equality_resolution,[status(thm)],[p11652]) ).
cnf(p12887,plain,
( ~ spl61
| ~ spl28
| ~ spl14
| e2 != e2 ),
inference(superposition,[status(thm)],[p18,p12250]) ).
cnf(p13575,plain,
( ~ spl61
| ~ spl28
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p12887]) ).
cnf(sct187,plain,
( ~ spl61
| ~ spl28
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p13575]) ).
fof(sdef102,definition,
( spl102
<=> op(e1,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl102])],[avatar_definition]) ).
cnf(p243,plain,
( ~ spl102
| op(e1,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef102]) ).
cnf(p13591,plain,
( ~ spl102
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p22,p243]) ).
cnf(sct188,plain,
( ~ spl102
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p13591]) ).
cnf(p948,plain,
( ~ spl35
| ~ spl32
| e3 = e0 ),
inference(superposition,[status(thm)],[p44,p41]) ).
cnf(p4011,plain,
( ~ spl106
| ~ spl27
| e3 != e0 ),
inference(superposition,[status(thm)],[p34,p251]) ).
cnf(p13722,plain,
( ~ spl106
| ~ spl35
| ~ spl32
| ~ spl27
| $false ),
inference(resolution,[status(thm)],[p948,p4011]) ).
cnf(sct189,plain,
( ~ spl106
| ~ spl35
| ~ spl32
| ~ spl27 ),
inference(avatar_contradiction_clause,[status(thm)],[p13722]) ).
cnf(p4029,plain,
( ~ spl146
| ~ spl55
| e3 != e0 ),
inference(superposition,[status(thm)],[p69,p333]) ).
cnf(p13724,plain,
( ~ spl146
| ~ spl55
| ~ spl35
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p948,p4029]) ).
cnf(sct190,plain,
( ~ spl146
| ~ spl55
| ~ spl35
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p13724]) ).
fof(sdef118,definition,
( spl118
<=> op(e2,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl118])],[avatar_definition]) ).
cnf(p275,plain,
( ~ spl118
| op(e2,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef118]) ).
cnf(p13751,plain,
( ~ spl118
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p41,p275]) ).
cnf(sct191,plain,
( ~ spl118
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p13751]) ).
fof(sdef154,definition,
( spl154
<=> op(e3,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl154])],[avatar_definition]) ).
cnf(p349,plain,
( ~ spl154
| op(e3,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef154]) ).
cnf(p13790,plain,
( ~ spl154
| ~ spl50
| $false ),
inference(resolution,[status(thm)],[p63,p349]) ).
cnf(sct192,plain,
( ~ spl154
| ~ spl50 ),
inference(avatar_contradiction_clause,[status(thm)],[p13790]) ).
fof(f8,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f8_nnf,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c499,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p9095,plain,
( ~ spl1
| e1 != e1
| e3 != op(e1,e0)
| e2 != op(op(e1,e0),e0) ),
inference(superposition,[status(thm)],[p2,c499]) ).
cnf(p9527,plain,
( ~ spl1
| e3 != op(e1,e0)
| e2 != op(op(e1,e0),e0) ),
inference(equality_resolution,[status(thm)],[p9095]) ).
cnf(p10703,plain,
( ~ spl19
| ~ spl1
| e3 != e3
| e2 != op(e3,e0) ),
inference(superposition,[status(thm)],[p24,p9527]) ).
cnf(p11264,plain,
( ~ spl19
| ~ spl1
| e2 != op(e3,e0) ),
inference(equality_resolution,[status(thm)],[p10703]) ).
cnf(p13810,plain,
( ~ spl50
| ~ spl19
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p63,p11264]) ).
cnf(p13896,plain,
( ~ spl50
| ~ spl19
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p13810]) ).
cnf(sct193,plain,
( ~ spl50
| ~ spl19
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p13896]) ).
fof(sdef85,definition,
( spl85
<=> op(e0,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl85])],[avatar_definition]) ).
cnf(p208,plain,
( ~ spl85
| op(e0,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef85]) ).
cnf(p13948,plain,
( ~ spl85
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p3,p208]) ).
cnf(sct194,plain,
( ~ spl85
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p13948]) ).
cnf(c417,plain,
( op(e1,e3) = e0
| op(e1,e0) != e3
| ~ def105 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c489,plain,
( def128
| def97
| ~ def129 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c493,plain,
( def129
| ~ def130 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p1006,plain,
def129,
inference(resolution,[status(thm)],[c493,c495]) ).
cnf(p4055,plain,
( def128
| def97 ),
inference(resolution,[status(thm)],[c489,p1006]) ).
cnf(c486,plain,
( def126
| ~ def128 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4056,plain,
( def126
| def97 ),
inference(resolution,[status(thm)],[p4055,c486]) ).
cnf(c480,plain,
( def124
| ~ def126 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4058,plain,
( def124
| def97 ),
inference(resolution,[status(thm)],[p4056,c480]) ).
cnf(c474,plain,
( def122
| ~ def124 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4070,plain,
( def122
| def97 ),
inference(resolution,[status(thm)],[p4058,c474]) ).
cnf(c468,plain,
( def120
| ~ def122 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4072,plain,
( def120
| def97 ),
inference(resolution,[status(thm)],[p4070,c468]) ).
cnf(c462,plain,
( def118
| ~ def120 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4074,plain,
( def118
| def97 ),
inference(resolution,[status(thm)],[p4072,c462]) ).
cnf(c456,plain,
( def116
| ~ def118 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4076,plain,
( def116
| def97 ),
inference(resolution,[status(thm)],[p4074,c456]) ).
cnf(c450,plain,
( def114
| ~ def116 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4078,plain,
( def114
| def97 ),
inference(resolution,[status(thm)],[p4076,c450]) ).
cnf(c444,plain,
( def112
| ~ def114 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4080,plain,
( def112
| def97 ),
inference(resolution,[status(thm)],[p4078,c444]) ).
cnf(c438,plain,
( def110
| ~ def112 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4092,plain,
( def110
| def97 ),
inference(resolution,[status(thm)],[p4080,c438]) ).
cnf(c432,plain,
( def108
| ~ def110 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4095,plain,
( def108
| def97 ),
inference(resolution,[status(thm)],[p4092,c432]) ).
cnf(c426,plain,
( def106
| ~ def108 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4097,plain,
( def106
| def97 ),
inference(resolution,[status(thm)],[p4095,c426]) ).
cnf(c421,plain,
( def105
| ~ def106 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4100,plain,
( def105
| def97 ),
inference(resolution,[status(thm)],[p4097,c421]) ).
cnf(p4237,plain,
( def97
| op(e1,e3) = e0
| op(e1,e0) != e3 ),
inference(resolution,[status(thm)],[c417,p4100]) ).
cnf(p9126,plain,
( ~ spl19
| def97
| op(e1,e3) = e0 ),
inference(resolution,[status(thm)],[p24,p4237]) ).
fof(f2,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2_nnf,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c83,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9896,plain,
( ~ spl19
| op(e1,e2) != e0
| def97 ),
inference(superposition,[status(thm)],[p9126,c83]) ).
cnf(p13973,plain,
( ~ spl24
| ~ spl19
| def97 ),
inference(resolution,[status(thm)],[p31,p9896]) ).
cnf(c393,plain,
( def96
| def65
| ~ def97 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13974,plain,
( ~ spl24
| ~ spl19
| def96
| def65 ),
inference(resolution,[status(thm)],[p13973,c393]) ).
cnf(c390,plain,
( def94
| ~ def96 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13975,plain,
( ~ spl24
| ~ spl19
| def94
| def65 ),
inference(resolution,[status(thm)],[p13974,c390]) ).
cnf(c384,plain,
( def92
| ~ def94 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13977,plain,
( ~ spl24
| ~ spl19
| def92
| def65 ),
inference(resolution,[status(thm)],[p13975,c384]) ).
cnf(c378,plain,
( def90
| ~ def92 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13979,plain,
( ~ spl24
| ~ spl19
| def90
| def65 ),
inference(resolution,[status(thm)],[p13977,c378]) ).
cnf(c372,plain,
( def88
| ~ def90 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13981,plain,
( ~ spl24
| ~ spl19
| def88
| def65 ),
inference(resolution,[status(thm)],[p13979,c372]) ).
cnf(c366,plain,
( def86
| ~ def88 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13984,plain,
( ~ spl24
| ~ spl19
| def86
| def65 ),
inference(resolution,[status(thm)],[p13981,c366]) ).
cnf(c360,plain,
( def84
| ~ def86 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13987,plain,
( ~ spl24
| ~ spl19
| def84
| def65 ),
inference(resolution,[status(thm)],[p13984,c360]) ).
cnf(c354,plain,
( def82
| ~ def84 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13989,plain,
( ~ spl24
| ~ spl19
| def82
| def65 ),
inference(resolution,[status(thm)],[p13987,c354]) ).
cnf(c348,plain,
( def80
| ~ def82 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13991,plain,
( ~ spl24
| ~ spl19
| def80
| def65 ),
inference(resolution,[status(thm)],[p13989,c348]) ).
cnf(c342,plain,
( def78
| ~ def80 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13994,plain,
( ~ spl24
| ~ spl19
| def78
| def65 ),
inference(resolution,[status(thm)],[p13991,c342]) ).
cnf(c336,plain,
( def76
| ~ def78 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13997,plain,
( ~ spl24
| ~ spl19
| def76
| def65 ),
inference(resolution,[status(thm)],[p13994,c336]) ).
cnf(c330,plain,
( def74
| ~ def76 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13999,plain,
( ~ spl24
| ~ spl19
| def74
| def65 ),
inference(resolution,[status(thm)],[p13997,c330]) ).
cnf(c324,plain,
( def72
| ~ def74 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p14001,plain,
( ~ spl24
| ~ spl19
| def72
| def65 ),
inference(resolution,[status(thm)],[p13999,c324]) ).
cnf(c318,plain,
( def70
| ~ def72 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p14003,plain,
( ~ spl24
| ~ spl19
| def70
| def65 ),
inference(resolution,[status(thm)],[p14001,c318]) ).
cnf(p14005,plain,
( ~ spl255
| ~ spl24
| ~ spl19
| def65 ),
inference(resolution,[status(thm)],[p14003,p568]) ).
cnf(p14006,plain,
( ~ spl255
| ~ spl244
| ~ spl24
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p14005,p542]) ).
cnf(sct195,plain,
( ~ spl255
| ~ spl244
| ~ spl24
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p14006]) ).
cnf(p950,plain,
( ~ spl35
| ~ spl33
| e3 = e1 ),
inference(superposition,[status(thm)],[p44,p42]) ).
cnf(p14091,plain,
( ~ spl228
| ~ spl55
| ~ spl35
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p950,p3699]) ).
cnf(sct196,plain,
( ~ spl228
| ~ spl55
| ~ spl35
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p14091]) ).
fof(sdef137,definition,
( spl137
<=> op(e2,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl137])],[avatar_definition]) ).
cnf(p314,plain,
( ~ spl137
| op(e2,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef137]) ).
cnf(p14431,plain,
( ~ spl137
| ~ spl35
| $false ),
inference(resolution,[status(thm)],[p44,p314]) ).
cnf(sct197,plain,
( ~ spl137
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p14431]) ).
cnf(c471,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| ~ def123 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c475,plain,
( def123
| ~ def124 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4071,plain,
( def123
| def97 ),
inference(resolution,[status(thm)],[p4058,c475]) ).
cnf(p4690,plain,
( def97
| op(e3,e3) = e1
| op(e3,e1) != e3 ),
inference(resolution,[status(thm)],[c471,p4071]) ).
cnf(p8261,plain,
( ~ spl55
| def97
| op(e3,e3) = e1 ),
inference(resolution,[status(thm)],[p4690,p69]) ).
cnf(p9285,plain,
( ~ spl239
| ~ spl55
| def97 ),
inference(resolution,[status(thm)],[p8261,p531]) ).
cnf(p9299,plain,
( ~ spl239
| ~ spl55
| def96
| def65 ),
inference(resolution,[status(thm)],[p9285,c393]) ).
cnf(p9300,plain,
( ~ spl239
| ~ spl55
| def94
| def65 ),
inference(resolution,[status(thm)],[p9299,c390]) ).
cnf(p9302,plain,
( ~ spl239
| ~ spl55
| def92
| def65 ),
inference(resolution,[status(thm)],[p9300,c384]) ).
cnf(p9304,plain,
( ~ spl239
| ~ spl55
| def90
| def65 ),
inference(resolution,[status(thm)],[p9302,c378]) ).
cnf(p9305,plain,
( ~ spl239
| ~ spl55
| def88
| def65 ),
inference(resolution,[status(thm)],[p9304,c372]) ).
cnf(p9307,plain,
( ~ spl239
| ~ spl55
| def86
| def65 ),
inference(resolution,[status(thm)],[p9305,c366]) ).
cnf(p9310,plain,
( ~ spl239
| ~ spl55
| def84
| def65 ),
inference(resolution,[status(thm)],[p9307,c360]) ).
cnf(p9312,plain,
( ~ spl239
| ~ spl55
| def82
| def65 ),
inference(resolution,[status(thm)],[p9310,c354]) ).
cnf(p9314,plain,
( ~ spl239
| ~ spl55
| def80
| def65 ),
inference(resolution,[status(thm)],[p9312,c348]) ).
cnf(p9317,plain,
( ~ spl239
| ~ spl55
| def78
| def65 ),
inference(resolution,[status(thm)],[p9314,c342]) ).
cnf(p13600,plain,
( ~ spl239
| ~ spl55
| def76
| def65 ),
inference(resolution,[status(thm)],[p9317,c336]) ).
cnf(p13605,plain,
( ~ spl239
| ~ spl55
| def74
| def65 ),
inference(resolution,[status(thm)],[p13600,c330]) ).
cnf(p13610,plain,
( ~ spl239
| ~ spl55
| def72
| def65 ),
inference(resolution,[status(thm)],[p13605,c324]) ).
cnf(p14602,plain,
( ~ spl239
| ~ spl55
| def70
| def65 ),
inference(resolution,[status(thm)],[p13610,c318]) ).
cnf(p14637,plain,
( ~ spl255
| ~ spl239
| ~ spl55
| def65 ),
inference(resolution,[status(thm)],[p14602,p568]) ).
cnf(p14638,plain,
( ~ spl255
| ~ spl244
| ~ spl239
| ~ spl55
| $false ),
inference(resolution,[status(thm)],[p14637,p542]) ).
cnf(sct198,plain,
( ~ spl255
| ~ spl244
| ~ spl239
| ~ spl55 ),
inference(avatar_contradiction_clause,[status(thm)],[p14638]) ).
cnf(c68,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9278,plain,
( ~ spl55
| op(e0,e3) != e1
| def97 ),
inference(superposition,[status(thm)],[p8261,c68]) ).
cnf(p13581,plain,
( ~ spl55
| ~ spl13
| def97 ),
inference(resolution,[status(thm)],[p17,p9278]) ).
cnf(p13583,plain,
( ~ spl55
| ~ spl13
| def96
| def65 ),
inference(resolution,[status(thm)],[p13581,c393]) ).
cnf(p13602,plain,
( ~ spl55
| ~ spl13
| def94
| def65 ),
inference(resolution,[status(thm)],[p13583,c390]) ).
cnf(p13607,plain,
( ~ spl55
| ~ spl13
| def92
| def65 ),
inference(resolution,[status(thm)],[p13602,c384]) ).
cnf(p13613,plain,
( ~ spl55
| ~ spl13
| def90
| def65 ),
inference(resolution,[status(thm)],[p13607,c378]) ).
cnf(p13616,plain,
( ~ spl55
| ~ spl13
| def88
| def65 ),
inference(resolution,[status(thm)],[p13613,c372]) ).
cnf(p13621,plain,
( ~ spl55
| ~ spl13
| def86
| def65 ),
inference(resolution,[status(thm)],[p13616,c366]) ).
cnf(p13627,plain,
( ~ spl55
| ~ spl13
| def84
| def65 ),
inference(resolution,[status(thm)],[p13621,c360]) ).
cnf(p13631,plain,
( ~ spl55
| ~ spl13
| def82
| def65 ),
inference(resolution,[status(thm)],[p13627,c354]) ).
cnf(p13635,plain,
( ~ spl55
| ~ spl13
| def80
| def65 ),
inference(resolution,[status(thm)],[p13631,c348]) ).
cnf(p13641,plain,
( ~ spl55
| ~ spl13
| def78
| def65 ),
inference(resolution,[status(thm)],[p13635,c342]) ).
cnf(p13666,plain,
( ~ spl55
| ~ spl13
| def76
| def65 ),
inference(resolution,[status(thm)],[p13641,c336]) ).
cnf(p13673,plain,
( ~ spl55
| ~ spl13
| def74
| def65 ),
inference(resolution,[status(thm)],[p13666,c330]) ).
cnf(p13679,plain,
( ~ spl55
| ~ spl13
| def72
| def65 ),
inference(resolution,[status(thm)],[p13673,c324]) ).
cnf(p14613,plain,
( ~ spl55
| ~ spl13
| def70
| def65 ),
inference(resolution,[status(thm)],[p13679,c318]) ).
cnf(p14643,plain,
( ~ spl255
| ~ spl55
| ~ spl13
| def65 ),
inference(resolution,[status(thm)],[p14613,p568]) ).
cnf(p14644,plain,
( ~ spl255
| ~ spl244
| ~ spl55
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p14643,p542]) ).
cnf(sct199,plain,
( ~ spl255
| ~ spl244
| ~ spl55
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p14644]) ).
fof(sdef199,definition,
( spl199
<=> op(e1,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl199])],[avatar_definition]) ).
cnf(p445,plain,
( ~ spl199
| op(e1,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef199]) ).
cnf(p15388,plain,
( ~ spl199
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p29,p445]) ).
cnf(sct200,plain,
( ~ spl199
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p15388]) ).
cnf(p15426,plain,
( ~ spl235
| ~ spl54
| $false ),
inference(resolution,[status(thm)],[p68,p523]) ).
cnf(sct201,plain,
( ~ spl235
| ~ spl54 ),
inference(avatar_contradiction_clause,[status(thm)],[p15426]) ).
fof(f20,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f20_nnf,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c511,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p5408,plain,
( ~ spl40
| e0 != e0
| e3 != op(e0,e2)
| e1 != op(op(e0,e2),e2) ),
inference(superposition,[status(thm)],[p51,c511]) ).
cnf(p10493,plain,
( ~ spl40
| e3 != op(e0,e2)
| e1 != op(op(e0,e2),e2) ),
inference(equality_resolution,[status(thm)],[p5408]) ).
cnf(p11224,plain,
( ~ spl40
| ~ spl11
| e3 != e3
| e1 != op(e3,e2) ),
inference(superposition,[status(thm)],[p14,p10493]) ).
cnf(p11708,plain,
( ~ spl40
| ~ spl11
| e1 != op(e3,e2) ),
inference(equality_resolution,[status(thm)],[p11224]) ).
cnf(p17360,plain,
( ~ spl57
| ~ spl40
| ~ spl11
| e1 != e1 ),
inference(superposition,[status(thm)],[p72,p11708]) ).
cnf(p17631,plain,
( ~ spl57
| ~ spl40
| ~ spl11
| $false ),
inference(equality_resolution,[status(thm)],[p17360]) ).
cnf(sct202,plain,
( ~ spl57
| ~ spl40
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p17631]) ).
cnf(p3387,plain,
( ~ spl171
| ~ spl10
| e2 != e1 ),
inference(superposition,[status(thm)],[p13,p385]) ).
cnf(p17827,plain,
( ~ spl171
| ~ spl18
| ~ spl17
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p866,p3387]) ).
cnf(sct203,plain,
( ~ spl171
| ~ spl18
| ~ spl17
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p17827]) ).
fof(sdef108,definition,
( spl108
<=> op(e1,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl108])],[avatar_definition]) ).
cnf(p255,plain,
( ~ spl108
| op(e1,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef108]) ).
cnf(p17922,plain,
( ~ spl108
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p23,p255]) ).
cnf(sct204,plain,
( ~ spl108
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p17922]) ).
fof(sdef89,definition,
( spl89
<=> op(e0,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl89])],[avatar_definition]) ).
cnf(p216,plain,
( ~ spl89
| op(e0,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef89]) ).
cnf(p2768,plain,
( ~ spl89
| ~ spl15
| e3 != e0 ),
inference(superposition,[status(thm)],[p19,p216]) ).
cnf(p18047,plain,
( ~ spl89
| ~ spl35
| ~ spl32
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p948,p2768]) ).
cnf(sct205,plain,
( ~ spl89
| ~ spl35
| ~ spl32
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p18047]) ).
fof(f17,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f17_nnf,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c508,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p8697,plain,
( ~ spl43
| e3 != e3
| e1 != op(e3,e2)
| e0 != op(op(e3,e2),e2) ),
inference(superposition,[status(thm)],[p54,c508]) ).
cnf(p9441,plain,
( ~ spl43
| e1 != op(e3,e2)
| e0 != op(op(e3,e2),e2) ),
inference(equality_resolution,[status(thm)],[p8697]) ).
cnf(p18925,plain,
( ~ spl57
| ~ spl43
| e1 != e1
| e0 != op(e1,e2) ),
inference(superposition,[status(thm)],[p72,p9441]) ).
cnf(p19824,plain,
( ~ spl57
| ~ spl43
| e0 != op(e1,e2) ),
inference(equality_resolution,[status(thm)],[p18925]) ).
cnf(p20584,plain,
( ~ spl57
| ~ spl43
| ~ spl24
| e0 != e0 ),
inference(superposition,[status(thm)],[p31,p19824]) ).
cnf(p21271,plain,
( ~ spl57
| ~ spl43
| ~ spl24
| $false ),
inference(equality_resolution,[status(thm)],[p20584]) ).
cnf(sct206,plain,
( ~ spl57
| ~ spl43
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p21271]) ).
cnf(p3430,plain,
( ~ spl177
| ~ spl15
| e3 != e1 ),
inference(superposition,[status(thm)],[p19,p397]) ).
cnf(p21707,plain,
( ~ spl177
| ~ spl35
| ~ spl33
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p950,p3430]) ).
cnf(sct207,plain,
( ~ spl177
| ~ spl35
| ~ spl33
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p21707]) ).
fof(sdef123,definition,
( spl123
<=> op(e2,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl123])],[avatar_definition]) ).
cnf(p286,plain,
( ~ spl123
| op(e2,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef123]) ).
cnf(p22192,plain,
( ~ spl123
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p46,p286]) ).
cnf(sct208,plain,
( ~ spl123
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p22192]) ).
cnf(c88,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2367,plain,
( ~ spl44
| op(e2,e1) != e0 ),
inference(superposition,[status(thm)],[p56,c88]) ).
cnf(p22214,plain,
( ~ spl44
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p46,p2367]) ).
cnf(sct209,plain,
( ~ spl44
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p22214]) ).
fof(sdef214,definition,
( spl214
<=> op(e2,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl214])],[avatar_definition]) ).
cnf(p478,plain,
( ~ spl214
| op(e2,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef214]) ).
cnf(p22217,plain,
( ~ spl214
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p48,p478]) ).
cnf(sct210,plain,
( ~ spl214
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p22217]) ).
fof(sdef220,definition,
( spl220
<=> op(e2,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl220])],[avatar_definition]) ).
cnf(p490,plain,
( ~ spl220
| op(e2,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef220]) ).
cnf(p22236,plain,
( ~ spl220
| ~ spl39
| $false ),
inference(resolution,[status(thm)],[p49,p490]) ).
cnf(sct211,plain,
( ~ spl220
| ~ spl39 ),
inference(avatar_contradiction_clause,[status(thm)],[p22236]) ).
cnf(p964,plain,
( ~ spl39
| ~ spl38
| e3 = e2 ),
inference(superposition,[status(thm)],[p49,p48]) ).
cnf(p1771,plain,
( ~ spl15
| e3 != op(e3,e3) ),
inference(superposition,[status(thm)],[p19,c68]) ).
cnf(p9261,plain,
( ~ spl62
| ~ spl15
| e3 != e2 ),
inference(superposition,[status(thm)],[p78,p1771]) ).
cnf(p22413,plain,
( ~ spl62
| ~ spl39
| ~ spl38
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p964,p9261]) ).
cnf(sct212,plain,
( ~ spl62
| ~ spl39
| ~ spl38
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p22413]) ).
cnf(p22415,plain,
( ~ spl228
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p67,p508]) ).
cnf(sct213,plain,
( ~ spl228
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p22415]) ).
cnf(p960,plain,
( ~ spl39
| ~ spl36
| e3 = e0 ),
inference(superposition,[status(thm)],[p49,p46]) ).
cnf(p2970,plain,
( ~ spl112
| ~ spl31
| e3 != e0 ),
inference(superposition,[status(thm)],[p39,p263]) ).
cnf(p22682,plain,
( ~ spl112
| ~ spl39
| ~ spl36
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p960,p2970]) ).
cnf(sct214,plain,
( ~ spl112
| ~ spl39
| ~ spl36
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p22682]) ).
fof(sdef218,definition,
( spl218
<=> op(e2,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl218])],[avatar_definition]) ).
cnf(p486,plain,
( ~ spl218
| op(e2,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef218]) ).
cnf(p23719,plain,
( ~ spl218
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p57,p486]) ).
cnf(sct215,plain,
( ~ spl218
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p23719]) ).
fof(f26,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f26_nnf,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c517,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p5597,plain,
( ~ spl60
| e0 != e0
| e2 != op(e0,e3)
| e1 != op(op(e0,e3),e3) ),
inference(superposition,[status(thm)],[p76,c517]) ).
cnf(p14096,plain,
( ~ spl60
| e2 != op(e0,e3)
| e1 != op(op(e0,e3),e3) ),
inference(equality_resolution,[status(thm)],[p5597]) ).
cnf(p17157,plain,
( ~ spl60
| ~ spl14
| e2 != e2
| e1 != op(e2,e3) ),
inference(superposition,[status(thm)],[p18,p14096]) ).
cnf(p24962,plain,
( ~ spl60
| ~ spl14
| e1 != op(e2,e3) ),
inference(equality_resolution,[status(thm)],[p17157]) ).
cnf(p26701,plain,
( ~ spl60
| ~ spl45
| ~ spl14
| e1 != e1 ),
inference(superposition,[status(thm)],[p57,p24962]) ).
cnf(p27803,plain,
( ~ spl60
| ~ spl45
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p26701]) ).
cnf(sct216,plain,
( ~ spl60
| ~ spl45
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p27803]) ).
cnf(c405,plain,
( op(e0,e3) = e2
| op(e0,e2) != e3
| ~ def101 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c420,plain,
( def104
| ~ def106 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4099,plain,
( def104
| def97 ),
inference(resolution,[status(thm)],[p4097,c420]) ).
cnf(c414,plain,
( def102
| ~ def104 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4101,plain,
( def102
| def97 ),
inference(resolution,[status(thm)],[p4099,c414]) ).
cnf(c409,plain,
( def101
| ~ def102 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4115,plain,
( def101
| def97 ),
inference(resolution,[status(thm)],[p4101,c409]) ).
cnf(p4192,plain,
( def97
| op(e0,e3) = e2
| op(e0,e2) != e3 ),
inference(resolution,[status(thm)],[c405,p4115]) ).
cnf(p9875,plain,
( ~ spl11
| def97
| op(e0,e3) = e2 ),
inference(resolution,[status(thm)],[p14,p4192]) ).
cnf(c74,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p10802,plain,
( ~ spl11
| op(e0,e0) != e2
| def97 ),
inference(superposition,[status(thm)],[p9875,c74]) ).
cnf(p14609,plain,
( ~ spl11
| ~ spl2
| def97 ),
inference(resolution,[status(thm)],[p3,p10802]) ).
cnf(p14610,plain,
( ~ spl11
| ~ spl2
| def96
| def65 ),
inference(resolution,[status(thm)],[p14609,c393]) ).
cnf(p14641,plain,
( ~ spl11
| ~ spl2
| def94
| def65 ),
inference(resolution,[status(thm)],[p14610,c390]) ).
cnf(p27825,plain,
( ~ spl11
| ~ spl2
| def92
| def65 ),
inference(resolution,[status(thm)],[p14641,c384]) ).
cnf(p27885,plain,
( ~ spl11
| ~ spl2
| def90
| def65 ),
inference(resolution,[status(thm)],[p27825,c378]) ).
cnf(p27895,plain,
( ~ spl11
| ~ spl2
| def88
| def65 ),
inference(resolution,[status(thm)],[p27885,c372]) ).
cnf(p27899,plain,
( ~ spl11
| ~ spl2
| def86
| def65 ),
inference(resolution,[status(thm)],[p27895,c366]) ).
cnf(p27904,plain,
( ~ spl11
| ~ spl2
| def84
| def65 ),
inference(resolution,[status(thm)],[p27899,c360]) ).
cnf(p27909,plain,
( ~ spl11
| ~ spl2
| def82
| def65 ),
inference(resolution,[status(thm)],[p27904,c354]) ).
cnf(p27914,plain,
( ~ spl11
| ~ spl2
| def80
| def65 ),
inference(resolution,[status(thm)],[p27909,c348]) ).
cnf(p27917,plain,
( ~ spl11
| ~ spl2
| def78
| def65 ),
inference(resolution,[status(thm)],[p27914,c342]) ).
cnf(p27922,plain,
( ~ spl11
| ~ spl2
| def76
| def65 ),
inference(resolution,[status(thm)],[p27917,c336]) ).
cnf(p27928,plain,
( ~ spl11
| ~ spl2
| def74
| def65 ),
inference(resolution,[status(thm)],[p27922,c330]) ).
cnf(p27933,plain,
( ~ spl11
| ~ spl2
| def72
| def65 ),
inference(resolution,[status(thm)],[p27928,c324]) ).
cnf(p27939,plain,
( ~ spl11
| ~ spl2
| def70
| def65 ),
inference(resolution,[status(thm)],[p27933,c318]) ).
cnf(p27948,plain,
( ~ spl255
| ~ spl11
| ~ spl2
| def65 ),
inference(resolution,[status(thm)],[p27939,p568]) ).
cnf(p27949,plain,
( ~ spl255
| ~ spl244
| ~ spl11
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p27948,p542]) ).
cnf(sct217,plain,
( ~ spl255
| ~ spl244
| ~ spl11
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p27949]) ).
cnf(c51,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1329,plain,
( ~ spl34
| op(e1,e0) != e2 ),
inference(superposition,[status(thm)],[p43,c51]) ).
cnf(p9118,plain,
( ~ spl34
| ~ spl19
| e3 != e2 ),
inference(superposition,[status(thm)],[p24,p1329]) ).
cnf(p27982,plain,
( ~ spl34
| ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p874,p9118]) ).
cnf(sct218,plain,
( ~ spl34
| ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p27982]) ).
cnf(c52,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1362,plain,
( ~ spl19
| e3 != op(e3,e0) ),
inference(superposition,[status(thm)],[p24,c52]) ).
cnf(p9256,plain,
( ~ spl48
| ~ spl19
| e3 != e0 ),
inference(superposition,[status(thm)],[p61,p1362]) ).
cnf(p27983,plain,
( ~ spl48
| ~ spl39
| ~ spl36
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p9256,p960]) ).
cnf(sct219,plain,
( ~ spl48
| ~ spl39
| ~ spl36
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p27983]) ).
cnf(c79,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9110,plain,
( ~ spl19
| e3 != op(e1,e2) ),
inference(superposition,[status(thm)],[p24,c79]) ).
cnf(p9544,plain,
( ~ spl25
| ~ spl19
| e3 != e1 ),
inference(superposition,[status(thm)],[p32,p9110]) ).
cnf(p28025,plain,
( ~ spl25
| ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p9544,p872]) ).
cnf(sct220,plain,
( ~ spl25
| ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p28025]) ).
fof(f23,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f23_nnf,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c514,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p8738,plain,
( ~ spl62
| e2 != e2
| e1 != op(e2,e3)
| e0 != op(op(e2,e3),e3) ),
inference(superposition,[status(thm)],[p78,c514]) ).
cnf(p28647,plain,
( ~ spl62
| e1 != op(e2,e3)
| e0 != op(op(e2,e3),e3) ),
inference(equality_resolution,[status(thm)],[p8738]) ).
cnf(p29757,plain,
( ~ spl62
| ~ spl45
| e1 != e1
| e0 != op(e1,e3) ),
inference(superposition,[status(thm)],[p57,p28647]) ).
cnf(p30652,plain,
( ~ spl62
| ~ spl45
| e0 != op(e1,e3) ),
inference(equality_resolution,[status(thm)],[p29757]) ).
cnf(p32050,plain,
( ~ spl62
| ~ spl45
| ~ spl28
| e0 != e0 ),
inference(superposition,[status(thm)],[p36,p30652]) ).
cnf(p32850,plain,
( ~ spl62
| ~ spl45
| ~ spl28
| $false ),
inference(equality_resolution,[status(thm)],[p32050]) ).
cnf(sct221,plain,
( ~ spl62
| ~ spl45
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p32850]) ).
fof(sdef100,definition,
( spl100
<=> op(e1,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl100])],[avatar_definition]) ).
cnf(p239,plain,
( ~ spl100
| op(e1,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef100]) ).
cnf(p32864,plain,
( ~ spl100
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p26,p239]) ).
cnf(sct222,plain,
( ~ spl100
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p32864]) ).
cnf(c81,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9139,plain,
( ~ spl24
| op(e1,e1) != e0 ),
inference(superposition,[status(thm)],[p31,c81]) ).
cnf(p32881,plain,
( ~ spl24
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p26,p9139]) ).
cnf(sct223,plain,
( ~ spl24
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p32881]) ).
cnf(c54,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1432,plain,
( ~ spl20
| op(e0,e1) != e0 ),
inference(superposition,[status(thm)],[p26,c54]) ).
cnf(p32885,plain,
( ~ spl20
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p1432,p6]) ).
cnf(sct224,plain,
( ~ spl20
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p32885]) ).
cnf(c91,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2493,plain,
( ~ spl58
| op(e3,e0) != e2 ),
inference(superposition,[status(thm)],[p73,c91]) ).
cnf(p22862,plain,
( ~ spl58
| ~ spl51
| e3 != e2 ),
inference(superposition,[status(thm)],[p64,p2493]) ).
cnf(p33024,plain,
( ~ spl58
| ~ spl51
| ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p22862,p874]) ).
cnf(sct225,plain,
( ~ spl58
| ~ spl51
| ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p33024]) ).
cnf(c55,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1465,plain,
( ~ spl4
| e0 != op(e2,e1) ),
inference(superposition,[status(thm)],[p6,c55]) ).
cnf(p22195,plain,
( ~ spl36
| ~ spl4
| e0 != e0 ),
inference(superposition,[status(thm)],[p46,p1465]) ).
cnf(p33036,plain,
( ~ spl36
| ~ spl4
| $false ),
inference(equality_resolution,[status(thm)],[p22195]) ).
cnf(sct226,plain,
( ~ spl36
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p33036]) ).
cnf(p3996,plain,
( ~ spl177
| ~ spl14
| e2 != e1 ),
inference(superposition,[status(thm)],[p18,p397]) ).
cnf(p33113,plain,
( ~ spl177
| ~ spl18
| ~ spl17
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p866,p3996]) ).
cnf(sct227,plain,
( ~ spl177
| ~ spl18
| ~ spl17
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p33113]) ).
fof(sdef212,definition,
( spl212
<=> op(e2,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl212])],[avatar_definition]) ).
cnf(p474,plain,
( ~ spl212
| op(e2,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef212]) ).
cnf(p33972,plain,
( ~ spl212
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p52,p474]) ).
cnf(sct228,plain,
( ~ spl212
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p33972]) ).
fof(f21,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f21_nnf,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c512,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p33980,plain,
( ~ spl41
| e1 != e1
| e0 != op(e1,e2)
| e3 != op(op(e1,e2),e2) ),
inference(superposition,[status(thm)],[p52,c512]) ).
cnf(p35362,plain,
( ~ spl41
| e0 != op(e1,e2)
| e3 != op(op(e1,e2),e2) ),
inference(equality_resolution,[status(thm)],[p33980]) ).
cnf(p36267,plain,
( ~ spl41
| ~ spl24
| e0 != e0
| e3 != op(e0,e2) ),
inference(superposition,[status(thm)],[p31,p35362]) ).
cnf(p37202,plain,
( ~ spl41
| ~ spl24
| e3 != op(e0,e2) ),
inference(equality_resolution,[status(thm)],[p36267]) ).
cnf(p37755,plain,
( ~ spl41
| ~ spl24
| ~ spl11
| e3 != e3 ),
inference(superposition,[status(thm)],[p14,p37202]) ).
cnf(p37758,plain,
( ~ spl41
| ~ spl24
| ~ spl11
| $false ),
inference(equality_resolution,[status(thm)],[p37755]) ).
cnf(sct229,plain,
( ~ spl41
| ~ spl24
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p37758]) ).
cnf(p8871,plain,
( ~ spl44
| ~ spl19
| ~ spl18
| op(e2,e2) = e0 ),
inference(superposition,[status(thm)],[p874,p56]) ).
cnf(p37901,plain,
( ~ spl129
| ~ spl44
| ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p8871,p298]) ).
cnf(sct230,plain,
( ~ spl129
| ~ spl44
| ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p37901]) ).
fof(f10,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f10_nnf,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c501,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p9096,plain,
( ~ spl1
| e1 != e1
| e2 != op(e1,e0)
| e3 != op(op(e1,e0),e0) ),
inference(superposition,[status(thm)],[p2,c501]) ).
cnf(p9532,plain,
( ~ spl1
| e2 != op(e1,e0)
| e3 != op(op(e1,e0),e0) ),
inference(equality_resolution,[status(thm)],[p9096]) ).
cnf(p17932,plain,
( ~ spl18
| ~ spl1
| e2 != e2
| e3 != op(e2,e0) ),
inference(superposition,[status(thm)],[p23,p9532]) ).
cnf(p18827,plain,
( ~ spl18
| ~ spl1
| e3 != op(e2,e0) ),
inference(equality_resolution,[status(thm)],[p17932]) ).
cnf(p38095,plain,
( ~ spl35
| ~ spl18
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p44,p18827]) ).
cnf(p38507,plain,
( ~ spl35
| ~ spl18
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p38095]) ).
cnf(sct231,plain,
( ~ spl35
| ~ spl18
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p38507]) ).
cnf(p8733,plain,
( ~ spl239
| ~ spl62
| e2 != e1 ),
inference(superposition,[status(thm)],[p78,p531]) ).
cnf(p38601,plain,
( ~ spl239
| ~ spl62
| ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p866,p8733]) ).
cnf(sct232,plain,
( ~ spl239
| ~ spl62
| ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p38601]) ).
cnf(p3631,plain,
( ~ spl218
| ~ spl47
| e3 != e1 ),
inference(superposition,[status(thm)],[p59,p486]) ).
cnf(p38628,plain,
( ~ spl218
| ~ spl47
| ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p872,p3631]) ).
cnf(sct233,plain,
( ~ spl218
| ~ spl47
| ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p38628]) ).
cnf(p3766,plain,
( ~ spl233
| ~ spl59
| e3 != e1 ),
inference(superposition,[status(thm)],[p74,p519]) ).
cnf(p38757,plain,
( ~ spl233
| ~ spl59
| ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p872,p3766]) ).
cnf(sct234,plain,
( ~ spl233
| ~ spl59
| ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p38757]) ).
cnf(p38760,plain,
( ~ spl177
| ~ spl19
| ~ spl17
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p872,p3430]) ).
cnf(sct235,plain,
( ~ spl177
| ~ spl19
| ~ spl17
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p38760]) ).
cnf(p8693,plain,
( ~ spl212
| ~ spl43
| e3 != e1 ),
inference(superposition,[status(thm)],[p54,p474]) ).
cnf(p38762,plain,
( ~ spl212
| ~ spl43
| ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p872,p8693]) ).
cnf(sct236,plain,
( ~ spl212
| ~ spl43
| ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p38762]) ).
cnf(p38798,plain,
( ~ spl112
| ~ spl35
| ~ spl32
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p948,p2970]) ).
cnf(sct237,plain,
( ~ spl112
| ~ spl35
| ~ spl32
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p38798]) ).
fof(sdef83,definition,
( spl83
<=> op(e0,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl83])],[avatar_definition]) ).
cnf(p204,plain,
( ~ spl83
| op(e0,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef83]) ).
cnf(p38806,plain,
( ~ spl83
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p11,p204]) ).
cnf(sct238,plain,
( ~ spl83
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p38806]) ).
fof(sdef179,definition,
( spl179
<=> op(e0,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl179])],[avatar_definition]) ).
cnf(p401,plain,
( ~ spl179
| op(e0,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef179]) ).
cnf(p39139,plain,
( ~ spl179
| ~ spl7
| $false ),
inference(resolution,[status(thm)],[p9,p401]) ).
cnf(sct239,plain,
( ~ spl179
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p39139]) ).
fof(f14,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f14_nnf,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c505,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p32873,plain,
( ~ spl20
| e0 != e0
| e3 != op(e0,e1)
| e2 != op(op(e0,e1),e1) ),
inference(superposition,[status(thm)],[p26,c505]) ).
cnf(p38928,plain,
( ~ spl20
| e3 != op(e0,e1)
| e2 != op(op(e0,e1),e1) ),
inference(equality_resolution,[status(thm)],[p32873]) ).
cnf(p40375,plain,
( ~ spl20
| ~ spl7
| e3 != e3
| e2 != op(e3,e1) ),
inference(superposition,[status(thm)],[p9,p38928]) ).
cnf(p40763,plain,
( ~ spl20
| ~ spl7
| e2 != op(e3,e1) ),
inference(equality_resolution,[status(thm)],[p40375]) ).
cnf(p41195,plain,
( ~ spl54
| ~ spl20
| ~ spl7
| e2 != e2 ),
inference(superposition,[status(thm)],[p68,p40763]) ).
cnf(p41593,plain,
( ~ spl54
| ~ spl20
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p41195]) ).
cnf(sct240,plain,
( ~ spl54
| ~ spl20
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p41593]) ).
cnf(p3526,plain,
( ~ spl197
| ~ spl31
| e3 != e1 ),
inference(superposition,[status(thm)],[p39,p441]) ).
cnf(p41799,plain,
( ~ spl197
| ~ spl35
| ~ spl33
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p950,p3526]) ).
cnf(sct241,plain,
( ~ spl197
| ~ spl35
| ~ spl33
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p41799]) ).
fof(f25,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f25_nnf,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c516,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p8739,plain,
( ~ spl62
| e2 != e2
| e0 != op(e2,e3)
| e1 != op(op(e2,e3),e3) ),
inference(superposition,[status(thm)],[p78,c516]) ).
cnf(p28653,plain,
( ~ spl62
| e0 != op(e2,e3)
| e1 != op(op(e2,e3),e3) ),
inference(equality_resolution,[status(thm)],[p8739]) ).
cnf(p38770,plain,
( ~ spl62
| ~ spl44
| e0 != e0
| e1 != op(e0,e3) ),
inference(superposition,[status(thm)],[p56,p28653]) ).
cnf(p42850,plain,
( ~ spl62
| ~ spl44
| e1 != op(e0,e3) ),
inference(equality_resolution,[status(thm)],[p38770]) ).
cnf(p43566,plain,
( ~ spl62
| ~ spl44
| ~ spl13
| e1 != e1 ),
inference(superposition,[status(thm)],[p17,p42850]) ).
cnf(p44340,plain,
( ~ spl62
| ~ spl44
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p43566]) ).
cnf(sct242,plain,
( ~ spl62
| ~ spl44
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p44340]) ).
cnf(p956,plain,
( ~ spl38
| ~ spl36
| e2 = e0 ),
inference(superposition,[status(thm)],[p48,p46]) ).
cnf(p13768,plain,
( ~ spl135
| ~ spl46
| e2 != e0 ),
inference(superposition,[status(thm)],[p58,p310]) ).
cnf(p44621,plain,
( ~ spl135
| ~ spl46
| ~ spl38
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p956,p13768]) ).
cnf(sct243,plain,
( ~ spl135
| ~ spl46
| ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p44621]) ).
fof(f11,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f11_nnf,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c502,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p15392,plain,
( ~ spl23
| e3 != e3
| e2 != op(e3,e1)
| e0 != op(op(e3,e1),e1) ),
inference(superposition,[status(thm)],[p29,c502]) ).
cnf(p16594,plain,
( ~ spl23
| e2 != op(e3,e1)
| e0 != op(op(e3,e1),e1) ),
inference(equality_resolution,[status(thm)],[p15392]) ).
cnf(p17648,plain,
( ~ spl54
| ~ spl23
| e2 != e2
| e0 != op(e2,e1) ),
inference(superposition,[status(thm)],[p68,p16594]) ).
cnf(p18340,plain,
( ~ spl54
| ~ spl23
| e0 != op(e2,e1) ),
inference(equality_resolution,[status(thm)],[p17648]) ).
cnf(p44406,plain,
( ~ spl54
| ~ spl36
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p46,p18340]) ).
cnf(p44694,plain,
( ~ spl54
| ~ spl36
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p44406]) ).
cnf(sct244,plain,
( ~ spl54
| ~ spl36
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p44694]) ).
cnf(p3995,plain,
( ~ spl89
| ~ spl14
| e2 != e0 ),
inference(superposition,[status(thm)],[p18,p216]) ).
cnf(p44705,plain,
( ~ spl89
| ~ spl38
| ~ spl36
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p956,p3995]) ).
cnf(sct245,plain,
( ~ spl89
| ~ spl38
| ~ spl36
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p44705]) ).
cnf(p1772,plain,
( ~ spl60
| op(e0,e3) != e0 ),
inference(superposition,[status(thm)],[p76,c68]) ).
cnf(p4190,plain,
( ~ spl60
| ~ spl14
| e2 != e0 ),
inference(superposition,[status(thm)],[p18,p1772]) ).
cnf(p44706,plain,
( ~ spl60
| ~ spl38
| ~ spl36
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p956,p4190]) ).
cnf(sct246,plain,
( ~ spl60
| ~ spl38
| ~ spl36
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p44706]) ).
cnf(p13789,plain,
( ~ spl141
| ~ spl50
| e2 != e0 ),
inference(superposition,[status(thm)],[p63,p322]) ).
cnf(p44714,plain,
( ~ spl141
| ~ spl50
| ~ spl38
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p956,p13789]) ).
cnf(sct247,plain,
( ~ spl141
| ~ spl50
| ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p44714]) ).
fof(f6,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f6_nnf,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c497,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p13954,plain,
( ~ spl2
| e2 != e2
| e3 != op(e2,e0)
| e1 != op(op(e2,e0),e0) ),
inference(superposition,[status(thm)],[p3,c497]) ).
cnf(p14669,plain,
( ~ spl2
| e3 != op(e2,e0)
| e1 != op(op(e2,e0),e0) ),
inference(equality_resolution,[status(thm)],[p13954]) ).
cnf(p21717,plain,
( ~ spl35
| ~ spl2
| e3 != e3
| e1 != op(e3,e0) ),
inference(superposition,[status(thm)],[p44,p14669]) ).
cnf(p42809,plain,
( ~ spl35
| ~ spl2
| e1 != op(e3,e0) ),
inference(equality_resolution,[status(thm)],[p21717]) ).
cnf(p45741,plain,
( ~ spl49
| ~ spl35
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p62,p42809]) ).
cnf(p46132,plain,
( ~ spl49
| ~ spl35
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p45741]) ).
cnf(sct248,plain,
( ~ spl49
| ~ spl35
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p46132]) ).
cnf(c87,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2362,plain,
( ~ spl43
| op(e2,e1) != e3 ),
inference(superposition,[status(thm)],[p54,c87]) ).
cnf(p46754,plain,
( ~ spl43
| ~ spl39
| $false ),
inference(resolution,[status(thm)],[p2362,p49]) ).
cnf(sct249,plain,
( ~ spl43
| ~ spl39 ),
inference(avatar_contradiction_clause,[status(thm)],[p46754]) ).
cnf(p4019,plain,
( ~ spl152
| ~ spl58
| e2 != e0 ),
inference(superposition,[status(thm)],[p73,p345]) ).
cnf(p46789,plain,
( ~ spl152
| ~ spl58
| ~ spl38
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p956,p4019]) ).
cnf(sct250,plain,
( ~ spl152
| ~ spl58
| ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p46789]) ).
fof(sdef125,definition,
( spl125
<=> op(e2,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl125])],[avatar_definition]) ).
cnf(p290,plain,
( ~ spl125
| op(e2,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef125]) ).
cnf(p46940,plain,
( ~ spl125
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p42,p290]) ).
cnf(sct251,plain,
( ~ spl125
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p46940]) ).
fof(f15,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f15_nnf,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c506,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p5238,plain,
( ~ spl22
| e2 != e2
| e0 != op(e2,e1)
| e3 != op(op(e2,e1),e1) ),
inference(superposition,[status(thm)],[p28,c506]) ).
cnf(p8622,plain,
( ~ spl22
| e0 != op(e2,e1)
| e3 != op(op(e2,e1),e1) ),
inference(equality_resolution,[status(thm)],[p5238]) ).
cnf(p22512,plain,
( ~ spl36
| ~ spl22
| e0 != e0
| e3 != op(e0,e1) ),
inference(superposition,[status(thm)],[p46,p8622]) ).
cnf(p47492,plain,
( ~ spl36
| ~ spl22
| e3 != op(e0,e1) ),
inference(equality_resolution,[status(thm)],[p22512]) ).
cnf(p48533,plain,
( ~ spl36
| ~ spl22
| ~ spl7
| e3 != e3 ),
inference(superposition,[status(thm)],[p9,p47492]) ).
cnf(p49118,plain,
( ~ spl36
| ~ spl22
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p48533]) ).
cnf(sct252,plain,
( ~ spl36
| ~ spl22
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p49118]) ).
fof(sdef166,definition,
( spl166
<=> op(e0,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl166])],[avatar_definition]) ).
cnf(p374,plain,
( ~ spl166
| op(e0,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef166]) ).
cnf(p50175,plain,
( ~ spl166
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p7,p374]) ).
cnf(sct253,plain,
( ~ spl166
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p50175]) ).
fof(f9,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f9_nnf,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c500,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p13956,plain,
( ~ spl2
| e2 != e2
| e1 != op(e2,e0)
| e3 != op(op(e2,e0),e0) ),
inference(superposition,[status(thm)],[p3,c500]) ).
cnf(p14684,plain,
( ~ spl2
| e1 != op(e2,e0)
| e3 != op(op(e2,e0),e0) ),
inference(equality_resolution,[status(thm)],[p13956]) ).
cnf(p46954,plain,
( ~ spl33
| ~ spl2
| e1 != e1
| e3 != op(e1,e0) ),
inference(superposition,[status(thm)],[p42,p14684]) ).
cnf(p48336,plain,
( ~ spl33
| ~ spl2
| e3 != op(e1,e0) ),
inference(equality_resolution,[status(thm)],[p46954]) ).
cnf(p50008,plain,
( ~ spl33
| ~ spl19
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p24,p48336]) ).
cnf(p50318,plain,
( ~ spl33
| ~ spl19
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p50008]) ).
cnf(sct254,plain,
( ~ spl33
| ~ spl19
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p50318]) ).
cnf(c64,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1713,plain,
( ~ spl27
| e3 != op(e3,e2) ),
inference(superposition,[status(thm)],[p34,c64]) ).
cnf(p4171,plain,
( ~ spl58
| ~ spl27
| e3 != e2 ),
inference(superposition,[status(thm)],[p73,p1713]) ).
cnf(p50375,plain,
( ~ spl58
| ~ spl39
| ~ spl38
| ~ spl27
| $false ),
inference(resolution,[status(thm)],[p4171,p964]) ).
cnf(sct255,plain,
( ~ spl58
| ~ spl39
| ~ spl38
| ~ spl27 ),
inference(avatar_contradiction_clause,[status(thm)],[p50375]) ).
cnf(p4020,plain,
( ~ spl233
| ~ spl58
| e2 != e1 ),
inference(superposition,[status(thm)],[p73,p519]) ).
cnf(p50377,plain,
( ~ spl233
| ~ spl58
| ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p866,p4020]) ).
cnf(sct256,plain,
( ~ spl233
| ~ spl58
| ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p50377]) ).
fof(f28,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f28_nnf,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c519,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p5780,plain,
( ~ spl60
| e0 != e0
| e1 != op(e0,e3)
| e2 != op(op(e0,e3),e3) ),
inference(superposition,[status(thm)],[p76,c519]) ).
cnf(p14098,plain,
( ~ spl60
| e1 != op(e0,e3)
| e2 != op(op(e0,e3),e3) ),
inference(equality_resolution,[status(thm)],[p5780]) ).
cnf(p14586,plain,
( ~ spl60
| ~ spl13
| e1 != e1
| e2 != op(e1,e3) ),
inference(superposition,[status(thm)],[p17,p14098]) ).
cnf(p39735,plain,
( ~ spl60
| ~ spl13
| e2 != op(e1,e3) ),
inference(equality_resolution,[status(thm)],[p14586]) ).
cnf(p50503,plain,
( ~ spl60
| ~ spl30
| ~ spl13
| e2 != e2 ),
inference(superposition,[status(thm)],[p38,p39735]) ).
cnf(p50647,plain,
( ~ spl60
| ~ spl30
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p50503]) ).
cnf(sct257,plain,
( ~ spl60
| ~ spl30
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p50647]) ).
fof(f24,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f24_nnf,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c515,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p10221,plain,
( ~ spl61
| e1 != e1
| e2 != op(e1,e3)
| e0 != op(op(e1,e3),e3) ),
inference(superposition,[status(thm)],[p77,c515]) ).
cnf(p11104,plain,
( ~ spl61
| e2 != op(e1,e3)
| e0 != op(op(e1,e3),e3) ),
inference(equality_resolution,[status(thm)],[p10221]) ).
cnf(p15269,plain,
( ~ spl61
| ~ spl30
| e2 != e2
| e0 != op(e2,e3) ),
inference(superposition,[status(thm)],[p38,p11104]) ).
cnf(p50841,plain,
( ~ spl61
| ~ spl30
| e0 != op(e2,e3) ),
inference(equality_resolution,[status(thm)],[p15269]) ).
cnf(p51941,plain,
( ~ spl61
| ~ spl44
| ~ spl30
| e0 != e0 ),
inference(superposition,[status(thm)],[p56,p50841]) ).
cnf(p52396,plain,
( ~ spl61
| ~ spl44
| ~ spl30
| $false ),
inference(equality_resolution,[status(thm)],[p51941]) ).
cnf(sct258,plain,
( ~ spl61
| ~ spl44
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p52396]) ).
cnf(p52519,plain,
( ~ spl106
| ~ spl39
| ~ spl36
| ~ spl27
| $false ),
inference(resolution,[status(thm)],[p960,p4011]) ).
cnf(sct259,plain,
( ~ spl106
| ~ spl39
| ~ spl36
| ~ spl27 ),
inference(avatar_contradiction_clause,[status(thm)],[p52519]) ).
cnf(p1365,plain,
( ~ spl50
| op(e1,e0) != e2 ),
inference(superposition,[status(thm)],[p63,c52]) ).
cnf(p52566,plain,
( ~ spl50
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p23,p1365]) ).
cnf(sct260,plain,
( ~ spl50
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p52566]) ).
cnf(p9868,plain,
( ~ spl253
| ~ spl11
| e3 != e2 ),
inference(superposition,[status(thm)],[p14,p563]) ).
cnf(p52596,plain,
( ~ spl253
| ~ spl39
| ~ spl38
| ~ spl11
| $false ),
inference(resolution,[status(thm)],[p964,p9868]) ).
cnf(sct261,plain,
( ~ spl253
| ~ spl39
| ~ spl38
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p52596]) ).
fof(sdef173,definition,
( spl173
<=> op(e0,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl173])],[avatar_definition]) ).
cnf(p389,plain,
( ~ spl173
| op(e0,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef173]) ).
cnf(p52800,plain,
( ~ spl173
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p8,p389]) ).
cnf(sct262,plain,
( ~ spl173
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p52800]) ).
cnf(p52839,plain,
( ~ spl89
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p16,p216]) ).
cnf(sct263,plain,
( ~ spl89
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p52839]) ).
fof(f19,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f19_nnf,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c510,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p8698,plain,
( ~ spl43
| e3 != e3
| e0 != op(e3,e2)
| e1 != op(op(e3,e2),e2) ),
inference(superposition,[status(thm)],[p54,c510]) ).
cnf(p9445,plain,
( ~ spl43
| e0 != op(e3,e2)
| e1 != op(op(e3,e2),e2) ),
inference(equality_resolution,[status(thm)],[p8698]) ).
cnf(p21358,plain,
( ~ spl56
| ~ spl43
| e0 != e0
| e1 != op(e0,e2) ),
inference(superposition,[status(thm)],[p71,p9445]) ).
cnf(p52959,plain,
( ~ spl56
| ~ spl43
| e1 != op(e0,e2) ),
inference(equality_resolution,[status(thm)],[p21358]) ).
cnf(p54186,plain,
( ~ spl56
| ~ spl43
| ~ spl9
| e1 != e1 ),
inference(superposition,[status(thm)],[p12,p52959]) ).
cnf(p54562,plain,
( ~ spl56
| ~ spl43
| ~ spl9
| $false ),
inference(equality_resolution,[status(thm)],[p54186]) ).
cnf(sct264,plain,
( ~ spl56
| ~ spl43
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p54562]) ).
cnf(c73,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3973,plain,
( ~ spl3
| e3 != op(e0,e2) ),
inference(superposition,[status(thm)],[p4,c73]) ).
cnf(p8610,plain,
( ~ spl10
| ~ spl3
| e3 != e2 ),
inference(superposition,[status(thm)],[p13,p3973]) ).
cnf(p54574,plain,
( ~ spl39
| ~ spl38
| ~ spl10
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p8610,p964]) ).
cnf(sct265,plain,
( ~ spl39
| ~ spl38
| ~ spl10
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p54574]) ).
cnf(p14430,plain,
( ~ spl131
| ~ spl35
| e3 != e2 ),
inference(superposition,[status(thm)],[p44,p302]) ).
cnf(p55001,plain,
( ~ spl131
| ~ spl39
| ~ spl38
| ~ spl35
| $false ),
inference(resolution,[status(thm)],[p964,p14430]) ).
cnf(sct266,plain,
( ~ spl131
| ~ spl39
| ~ spl38
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p55001]) ).
cnf(c441,plain,
( op(e2,e3) = e0
| op(e2,e0) != e3
| ~ def113 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c445,plain,
( def113
| ~ def114 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4081,plain,
( def113
| def97 ),
inference(resolution,[status(thm)],[p4078,c445]) ).
cnf(p4445,plain,
( def97
| op(e2,e3) = e0
| op(e2,e0) != e3 ),
inference(resolution,[status(thm)],[c441,p4081]) ).
cnf(p14441,plain,
( ~ spl35
| def97
| op(e2,e3) = e0 ),
inference(resolution,[status(thm)],[p44,p4445]) ).
cnf(c89,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2371,plain,
( ~ spl40
| e0 != op(e2,e3) ),
inference(superposition,[status(thm)],[p51,c89]) ).
cnf(p15083,plain,
( ~ spl40
| ~ spl35
| e0 != e0
| def97 ),
inference(superposition,[status(thm)],[p14441,p2371]) ).
cnf(p21832,plain,
( ~ spl40
| ~ spl35
| def97 ),
inference(equality_resolution,[status(thm)],[p15083]) ).
cnf(p21834,plain,
( ~ spl40
| ~ spl35
| def96
| def65 ),
inference(resolution,[status(thm)],[p21832,c393]) ).
cnf(p21967,plain,
( ~ spl40
| ~ spl35
| def94
| def65 ),
inference(resolution,[status(thm)],[p21834,c390]) ).
cnf(p22062,plain,
( ~ spl40
| ~ spl35
| def92
| def65 ),
inference(resolution,[status(thm)],[p21967,c384]) ).
cnf(p22120,plain,
( ~ spl40
| ~ spl35
| def90
| def65 ),
inference(resolution,[status(thm)],[p22062,c378]) ).
cnf(p22151,plain,
( ~ spl40
| ~ spl35
| def88
| def65 ),
inference(resolution,[status(thm)],[p22120,c372]) ).
cnf(p55003,plain,
( ~ spl40
| ~ spl35
| def86
| def65 ),
inference(resolution,[status(thm)],[p22151,c366]) ).
cnf(p55012,plain,
( ~ spl40
| ~ spl35
| def84
| def65 ),
inference(resolution,[status(thm)],[p55003,c360]) ).
cnf(p55016,plain,
( ~ spl40
| ~ spl35
| def82
| def65 ),
inference(resolution,[status(thm)],[p55012,c354]) ).
cnf(p55020,plain,
( ~ spl40
| ~ spl35
| def80
| def65 ),
inference(resolution,[status(thm)],[p55016,c348]) ).
cnf(p55022,plain,
( ~ spl40
| ~ spl35
| def78
| def65 ),
inference(resolution,[status(thm)],[p55020,c342]) ).
cnf(p55024,plain,
( ~ spl40
| ~ spl35
| def76
| def65 ),
inference(resolution,[status(thm)],[p55022,c336]) ).
cnf(p55026,plain,
( ~ spl40
| ~ spl35
| def74
| def65 ),
inference(resolution,[status(thm)],[p55024,c330]) ).
cnf(p55028,plain,
( ~ spl40
| ~ spl35
| def72
| def65 ),
inference(resolution,[status(thm)],[p55026,c324]) ).
cnf(p55031,plain,
( ~ spl40
| ~ spl35
| def70
| def65 ),
inference(resolution,[status(thm)],[p55028,c318]) ).
cnf(p55034,plain,
( ~ spl255
| ~ spl40
| ~ spl35
| def65 ),
inference(resolution,[status(thm)],[p55031,p568]) ).
cnf(p55035,plain,
( ~ spl255
| ~ spl244
| ~ spl40
| ~ spl35
| $false ),
inference(resolution,[status(thm)],[p55034,p542]) ).
cnf(sct267,plain,
( ~ spl255
| ~ spl244
| ~ spl40
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p55035]) ).
fof(f16,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f16_nnf,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c507,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p32875,plain,
( ~ spl20
| e0 != e0
| e2 != op(e0,e1)
| e3 != op(op(e0,e1),e1) ),
inference(superposition,[status(thm)],[p26,c507]) ).
cnf(p38939,plain,
( ~ spl20
| e2 != op(e0,e1)
| e3 != op(op(e0,e1),e1) ),
inference(equality_resolution,[status(thm)],[p32875]) ).
cnf(p52811,plain,
( ~ spl20
| ~ spl6
| e2 != e2
| e3 != op(e2,e1) ),
inference(superposition,[status(thm)],[p8,p38939]) ).
cnf(p54105,plain,
( ~ spl20
| ~ spl6
| e3 != op(e2,e1) ),
inference(equality_resolution,[status(thm)],[p52811]) ).
cnf(p55634,plain,
( ~ spl39
| ~ spl20
| ~ spl6
| e3 != e3 ),
inference(superposition,[status(thm)],[p49,p54105]) ).
cnf(p55980,plain,
( ~ spl39
| ~ spl20
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p55634]) ).
cnf(sct268,plain,
( ~ spl39
| ~ spl20
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p55980]) ).
fof(f5,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f5_nnf,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c496,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p5036,plain,
( ~ spl3
| e3 != e3
| e2 != op(e3,e0)
| e1 != op(op(e3,e0),e0) ),
inference(superposition,[status(thm)],[p4,c496]) ).
cnf(p8514,plain,
( ~ spl3
| e2 != op(e3,e0)
| e1 != op(op(e3,e0),e0) ),
inference(equality_resolution,[status(thm)],[p5036]) ).
cnf(p52604,plain,
( ~ spl50
| ~ spl3
| e2 != e2
| e1 != op(e2,e0) ),
inference(superposition,[status(thm)],[p63,p8514]) ).
cnf(p54026,plain,
( ~ spl50
| ~ spl3
| e1 != op(e2,e0) ),
inference(equality_resolution,[status(thm)],[p52604]) ).
cnf(p56052,plain,
( ~ spl50
| ~ spl33
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p42,p54026]) ).
cnf(p56203,plain,
( ~ spl50
| ~ spl33
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p56052]) ).
cnf(sct269,plain,
( ~ spl50
| ~ spl33
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p56203]) ).
fof(f12,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f12_nnf,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c503,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p5225,plain,
( ~ spl22
| e2 != e2
| e3 != op(e2,e1)
| e0 != op(op(e2,e1),e1) ),
inference(superposition,[status(thm)],[p28,c503]) ).
cnf(p8579,plain,
( ~ spl22
| e3 != op(e2,e1)
| e0 != op(op(e2,e1),e1) ),
inference(equality_resolution,[status(thm)],[p5225]) ).
cnf(p22255,plain,
( ~ spl39
| ~ spl22
| e3 != e3
| e0 != op(e3,e1) ),
inference(superposition,[status(thm)],[p49,p8579]) ).
cnf(p23499,plain,
( ~ spl39
| ~ spl22
| e0 != op(e3,e1) ),
inference(equality_resolution,[status(thm)],[p22255]) ).
cnf(p56760,plain,
( ~ spl52
| ~ spl39
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p66,p23499]) ).
cnf(p57104,plain,
( ~ spl52
| ~ spl39
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p56760]) ).
cnf(sct270,plain,
( ~ spl52
| ~ spl39
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p57104]) ).
fof(f13,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f13_nnf,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c504,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p15393,plain,
( ~ spl23
| e3 != e3
| e0 != op(e3,e1)
| e2 != op(op(e3,e1),e1) ),
inference(superposition,[status(thm)],[p29,c504]) ).
cnf(p16599,plain,
( ~ spl23
| e0 != op(e3,e1)
| e2 != op(op(e3,e1),e1) ),
inference(equality_resolution,[status(thm)],[p15393]) ).
cnf(p45708,plain,
( ~ spl52
| ~ spl23
| e0 != e0
| e2 != op(e0,e1) ),
inference(superposition,[status(thm)],[p66,p16599]) ).
cnf(p57429,plain,
( ~ spl52
| ~ spl23
| e2 != op(e0,e1) ),
inference(equality_resolution,[status(thm)],[p45708]) ).
cnf(p58381,plain,
( ~ spl52
| ~ spl23
| ~ spl6
| e2 != e2 ),
inference(superposition,[status(thm)],[p8,p57429]) ).
cnf(p58838,plain,
( ~ spl52
| ~ spl23
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p58381]) ).
cnf(sct271,plain,
( ~ spl52
| ~ spl23
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p58838]) ).
cnf(c82,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9895,plain,
( ~ spl19
| op(e1,e1) != e0
| def97 ),
inference(superposition,[status(thm)],[p9126,c82]) ).
cnf(p32880,plain,
( ~ spl20
| ~ spl19
| def97 ),
inference(resolution,[status(thm)],[p26,p9895]) ).
cnf(p38550,plain,
( ~ spl20
| ~ spl19
| def96
| def65 ),
inference(resolution,[status(thm)],[p32880,c393]) ).
cnf(p46203,plain,
( ~ spl20
| ~ spl19
| def94
| def65 ),
inference(resolution,[status(thm)],[p38550,c390]) ).
cnf(p46262,plain,
( ~ spl20
| ~ spl19
| def92
| def65 ),
inference(resolution,[status(thm)],[p46203,c384]) ).
cnf(p46302,plain,
( ~ spl20
| ~ spl19
| def90
| def65 ),
inference(resolution,[status(thm)],[p46262,c378]) ).
cnf(p46310,plain,
( ~ spl20
| ~ spl19
| def88
| def65 ),
inference(resolution,[status(thm)],[p46302,c372]) ).
cnf(p46315,plain,
( ~ spl20
| ~ spl19
| def86
| def65 ),
inference(resolution,[status(thm)],[p46310,c366]) ).
cnf(p46321,plain,
( ~ spl20
| ~ spl19
| def84
| def65 ),
inference(resolution,[status(thm)],[p46315,c360]) ).
cnf(p46325,plain,
( ~ spl20
| ~ spl19
| def82
| def65 ),
inference(resolution,[status(thm)],[p46321,c354]) ).
cnf(p46328,plain,
( ~ spl20
| ~ spl19
| def80
| def65 ),
inference(resolution,[status(thm)],[p46325,c348]) ).
cnf(p46333,plain,
( ~ spl20
| ~ spl19
| def78
| def65 ),
inference(resolution,[status(thm)],[p46328,c342]) ).
cnf(p58868,plain,
( ~ spl20
| ~ spl19
| def76
| def65 ),
inference(resolution,[status(thm)],[p46333,c336]) ).
cnf(p58873,plain,
( ~ spl20
| ~ spl19
| def74
| def65 ),
inference(resolution,[status(thm)],[p58868,c330]) ).
cnf(p58876,plain,
( ~ spl20
| ~ spl19
| def72
| def65 ),
inference(resolution,[status(thm)],[p58873,c324]) ).
cnf(p58879,plain,
( ~ spl20
| ~ spl19
| def70
| def65 ),
inference(resolution,[status(thm)],[p58876,c318]) ).
cnf(p58884,plain,
( ~ spl255
| ~ spl20
| ~ spl19
| def65 ),
inference(resolution,[status(thm)],[p58879,p568]) ).
cnf(p58885,plain,
( ~ spl255
| ~ spl244
| ~ spl20
| ~ spl19
| $false ),
inference(resolution,[status(thm)],[p58884,p542]) ).
cnf(sct272,plain,
( ~ spl255
| ~ spl244
| ~ spl20
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p58885]) ).
fof(f22,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f22_nnf,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c513,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p5582,plain,
( ~ spl40
| e0 != e0
| e1 != op(e0,e2)
| e3 != op(op(e0,e2),e2) ),
inference(superposition,[status(thm)],[p51,c513]) ).
cnf(p10502,plain,
( ~ spl40
| e1 != op(e0,e2)
| e3 != op(op(e0,e2),e2) ),
inference(equality_resolution,[status(thm)],[p5582]) ).
cnf(p14427,plain,
( ~ spl40
| ~ spl9
| e1 != e1
| e3 != op(e1,e2) ),
inference(superposition,[status(thm)],[p12,p10502]) ).
cnf(p14705,plain,
( ~ spl40
| ~ spl9
| e3 != op(e1,e2) ),
inference(equality_resolution,[status(thm)],[p14427]) ).
cnf(p59421,plain,
( ~ spl40
| ~ spl27
| ~ spl9
| e3 != e3 ),
inference(superposition,[status(thm)],[p34,p14705]) ).
cnf(p59735,plain,
( ~ spl40
| ~ spl27
| ~ spl9
| $false ),
inference(equality_resolution,[status(thm)],[p59421]) ).
cnf(sct273,plain,
( ~ spl40
| ~ spl27
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p59735]) ).
cnf(p8732,plain,
( ~ spl158
| ~ spl62
| e2 != e0 ),
inference(superposition,[status(thm)],[p78,p357]) ).
cnf(p59754,plain,
( ~ spl158
| ~ spl62
| ~ spl38
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p956,p8732]) ).
cnf(sct274,plain,
( ~ spl158
| ~ spl62
| ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p59754]) ).
fof(f18,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f18_nnf,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c509,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p33978,plain,
( ~ spl41
| e1 != e1
| e3 != op(e1,e2)
| e0 != op(op(e1,e2),e2) ),
inference(superposition,[status(thm)],[p52,c509]) ).
cnf(p35352,plain,
( ~ spl41
| e3 != op(e1,e2)
| e0 != op(op(e1,e2),e2) ),
inference(equality_resolution,[status(thm)],[p33978]) ).
cnf(p50349,plain,
( ~ spl41
| ~ spl27
| e3 != e3
| e0 != op(e3,e2) ),
inference(superposition,[status(thm)],[p34,p35352]) ).
cnf(p50669,plain,
( ~ spl41
| ~ spl27
| e0 != op(e3,e2) ),
inference(equality_resolution,[status(thm)],[p50349]) ).
cnf(p59821,plain,
( ~ spl56
| ~ spl41
| ~ spl27
| e0 != e0 ),
inference(superposition,[status(thm)],[p71,p50669]) ).
cnf(p59973,plain,
( ~ spl56
| ~ spl41
| ~ spl27
| $false ),
inference(equality_resolution,[status(thm)],[p59821]) ).
cnf(sct275,plain,
( ~ spl56
| ~ spl41
| ~ spl27 ),
inference(avatar_contradiction_clause,[status(thm)],[p59973]) ).
fof(f7,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f7_nnf,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c498,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p5041,plain,
( ~ spl3
| e3 != e3
| e1 != op(e3,e0)
| e2 != op(op(e3,e0),e0) ),
inference(superposition,[status(thm)],[p4,c498]) ).
cnf(p8519,plain,
( ~ spl3
| e1 != op(e3,e0)
| e2 != op(op(e3,e0),e0) ),
inference(equality_resolution,[status(thm)],[p5041]) ).
cnf(p56401,plain,
( ~ spl49
| ~ spl3
| e1 != e1
| e2 != op(e1,e0) ),
inference(superposition,[status(thm)],[p62,p8519]) ).
cnf(p57330,plain,
( ~ spl49
| ~ spl3
| e2 != op(e1,e0) ),
inference(equality_resolution,[status(thm)],[p56401]) ).
cnf(p60190,plain,
( ~ spl49
| ~ spl18
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p23,p57330]) ).
cnf(p60428,plain,
( ~ spl49
| ~ spl18
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p60190]) ).
cnf(sct276,plain,
( ~ spl49
| ~ spl18
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p60428]) ).
fof(f0,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f0_nnf,plain,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp0,plain,
( spl3
| spl2
| spl1
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c0,sdef0,sdef1,sdef2,sdef3]) ).
cnf(c1,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp1,plain,
( spl7
| spl6
| spl5
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c1,sdef4,sdef5,sdef6,sdef7]) ).
cnf(c2,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp2,plain,
( spl11
| spl10
| spl9
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c2,sdef8,sdef9,sdef10,sdef11]) ).
cnf(c3,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp3,plain,
( spl15
| spl14
| spl13
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c3,sdef12,sdef13,sdef14,sdef15]) ).
cnf(c4,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp4,plain,
( spl19
| spl18
| spl17
| spl16 ),
inference(avatar_split_clause,[status(thm)],[c4,sdef16,sdef17,sdef18,sdef19]) ).
cnf(c5,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp5,plain,
( spl23
| spl22
| spl21
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c5,sdef20,sdef21,sdef22,sdef23]) ).
cnf(c6,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp6,plain,
( spl27
| spl26
| spl25
| spl24 ),
inference(avatar_split_clause,[status(thm)],[c6,sdef24,sdef25,sdef26,sdef27]) ).
cnf(c7,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp7,plain,
( spl31
| spl30
| spl29
| spl28 ),
inference(avatar_split_clause,[status(thm)],[c7,sdef28,sdef29,sdef30,sdef31]) ).
cnf(c8,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp8,plain,
( spl35
| spl34
| spl33
| spl32 ),
inference(avatar_split_clause,[status(thm)],[c8,sdef32,sdef33,sdef34,sdef35]) ).
cnf(c9,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp9,plain,
( spl39
| spl38
| spl37
| spl36 ),
inference(avatar_split_clause,[status(thm)],[c9,sdef36,sdef37,sdef38,sdef39]) ).
cnf(c10,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp10,plain,
( spl43
| spl42
| spl41
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c10,sdef40,sdef41,sdef42,sdef43]) ).
cnf(c11,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp11,plain,
( spl47
| spl46
| spl45
| spl44 ),
inference(avatar_split_clause,[status(thm)],[c11,sdef44,sdef45,sdef46,sdef47]) ).
cnf(c12,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp12,plain,
( spl51
| spl50
| spl49
| spl48 ),
inference(avatar_split_clause,[status(thm)],[c12,sdef48,sdef49,sdef50,sdef51]) ).
cnf(c13,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp13,plain,
( spl55
| spl54
| spl53
| spl52 ),
inference(avatar_split_clause,[status(thm)],[c13,sdef52,sdef53,sdef54,sdef55]) ).
cnf(c14,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp14,plain,
( spl59
| spl58
| spl57
| spl56 ),
inference(avatar_split_clause,[status(thm)],[c14,sdef56,sdef57,sdef58,sdef59]) ).
cnf(c15,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(ssp15,plain,
( spl63
| spl62
| spl61
| spl60 ),
inference(avatar_split_clause,[status(thm)],[c15,sdef60,sdef61,sdef62,sdef63]) ).
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1_nnf,plain,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c16,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp16,plain,
( spl12
| spl8
| spl4
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c16,sdef0,sdef4,sdef8,sdef12]) ).
cnf(c17,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp17,plain,
( spl48
| spl32
| spl16
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c17,sdef0,sdef16,sdef32,sdef48]) ).
cnf(c18,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp18,plain,
( spl13
| spl9
| spl5
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c18,sdef1,sdef5,sdef9,sdef13]) ).
cnf(c19,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp19,plain,
( spl49
| spl33
| spl17
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c19,sdef1,sdef17,sdef33,sdef49]) ).
cnf(c20,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp20,plain,
( spl14
| spl10
| spl6
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c20,sdef2,sdef6,sdef10,sdef14]) ).
cnf(c21,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp21,plain,
( spl50
| spl34
| spl18
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c21,sdef2,sdef18,sdef34,sdef50]) ).
cnf(c22,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp22,plain,
( spl15
| spl11
| spl7
| spl3 ),
inference(avatar_split_clause,[status(thm)],[c22,sdef3,sdef7,sdef11,sdef15]) ).
cnf(c23,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp23,plain,
( spl51
| spl35
| spl19
| spl3 ),
inference(avatar_split_clause,[status(thm)],[c23,sdef3,sdef19,sdef35,sdef51]) ).
cnf(c24,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp24,plain,
( spl28
| spl24
| spl20
| spl16 ),
inference(avatar_split_clause,[status(thm)],[c24,sdef16,sdef20,sdef24,sdef28]) ).
cnf(c25,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp25,plain,
( spl52
| spl36
| spl20
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c25,sdef4,sdef20,sdef36,sdef52]) ).
cnf(c26,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp26,plain,
( spl29
| spl25
| spl21
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c26,sdef17,sdef21,sdef25,sdef29]) ).
cnf(c27,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp27,plain,
( spl53
| spl37
| spl21
| spl5 ),
inference(avatar_split_clause,[status(thm)],[c27,sdef5,sdef21,sdef37,sdef53]) ).
cnf(c28,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp28,plain,
( spl30
| spl26
| spl22
| spl18 ),
inference(avatar_split_clause,[status(thm)],[c28,sdef18,sdef22,sdef26,sdef30]) ).
cnf(c29,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp29,plain,
( spl54
| spl38
| spl22
| spl6 ),
inference(avatar_split_clause,[status(thm)],[c29,sdef6,sdef22,sdef38,sdef54]) ).
cnf(c30,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp30,plain,
( spl31
| spl27
| spl23
| spl19 ),
inference(avatar_split_clause,[status(thm)],[c30,sdef19,sdef23,sdef27,sdef31]) ).
cnf(c31,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp31,plain,
( spl55
| spl39
| spl23
| spl7 ),
inference(avatar_split_clause,[status(thm)],[c31,sdef7,sdef23,sdef39,sdef55]) ).
cnf(c32,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp32,plain,
( spl44
| spl40
| spl36
| spl32 ),
inference(avatar_split_clause,[status(thm)],[c32,sdef32,sdef36,sdef40,sdef44]) ).
cnf(c33,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp33,plain,
( spl56
| spl40
| spl24
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c33,sdef8,sdef24,sdef40,sdef56]) ).
cnf(c34,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp34,plain,
( spl45
| spl41
| spl37
| spl33 ),
inference(avatar_split_clause,[status(thm)],[c34,sdef33,sdef37,sdef41,sdef45]) ).
cnf(c35,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp35,plain,
( spl57
| spl41
| spl25
| spl9 ),
inference(avatar_split_clause,[status(thm)],[c35,sdef9,sdef25,sdef41,sdef57]) ).
cnf(c36,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp36,plain,
( spl46
| spl42
| spl38
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c36,sdef34,sdef38,sdef42,sdef46]) ).
cnf(c37,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp37,plain,
( spl58
| spl42
| spl26
| spl10 ),
inference(avatar_split_clause,[status(thm)],[c37,sdef10,sdef26,sdef42,sdef58]) ).
cnf(c38,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp38,plain,
( spl47
| spl43
| spl39
| spl35 ),
inference(avatar_split_clause,[status(thm)],[c38,sdef35,sdef39,sdef43,sdef47]) ).
cnf(c39,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp39,plain,
( spl59
| spl43
| spl27
| spl11 ),
inference(avatar_split_clause,[status(thm)],[c39,sdef11,sdef27,sdef43,sdef59]) ).
cnf(c40,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp40,plain,
( spl60
| spl56
| spl52
| spl48 ),
inference(avatar_split_clause,[status(thm)],[c40,sdef48,sdef52,sdef56,sdef60]) ).
cnf(c41,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp41,plain,
( spl60
| spl44
| spl28
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c41,sdef12,sdef28,sdef44,sdef60]) ).
cnf(c42,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp42,plain,
( spl61
| spl57
| spl53
| spl49 ),
inference(avatar_split_clause,[status(thm)],[c42,sdef49,sdef53,sdef57,sdef61]) ).
cnf(c43,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp43,plain,
( spl61
| spl45
| spl29
| spl13 ),
inference(avatar_split_clause,[status(thm)],[c43,sdef13,sdef29,sdef45,sdef61]) ).
cnf(c44,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp44,plain,
( spl62
| spl58
| spl54
| spl50 ),
inference(avatar_split_clause,[status(thm)],[c44,sdef50,sdef54,sdef58,sdef62]) ).
cnf(c45,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp45,plain,
( spl62
| spl46
| spl30
| spl14 ),
inference(avatar_split_clause,[status(thm)],[c45,sdef14,sdef30,sdef46,sdef62]) ).
cnf(c46,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp46,plain,
( spl63
| spl59
| spl55
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c46,sdef51,sdef55,sdef59,sdef63]) ).
cnf(c47,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(ssp47,plain,
( spl63
| spl47
| spl31
| spl15 ),
inference(avatar_split_clause,[status(thm)],[c47,sdef15,sdef31,sdef47,sdef63]) ).
cnf(c102,plain,
( op(e0,e0) != e0
| ~ def0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp48,plain,
( spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c102,sdef64,sdef65]) ).
cnf(c103,plain,
( op(e1,e1) != e1
| ~ def0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp49,plain,
( spl66
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c103,sdef64,sdef66]) ).
cnf(c104,plain,
( def0
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp50,plain,
( spl67
| spl21
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c104,sdef0,sdef21,sdef67]) ).
cnf(c105,plain,
( def0
| ~ def1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp51,plain,
( spl68
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c105,sdef67,sdef68]) ).
cnf(c106,plain,
( op(e2,e2) != e2
| ~ def1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp52,plain,
( spl69
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c106,sdef68,sdef69]) ).
cnf(c107,plain,
( def1
| op(e2,e2) = e2
| ~ def0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp53,plain,
( spl70
| spl64
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c107,sdef42,sdef64,sdef70]) ).
cnf(c108,plain,
( def1
| ~ def2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp54,plain,
( spl71
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c108,sdef70,sdef71]) ).
cnf(c109,plain,
( op(e3,e3) != e3
| ~ def2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp55,plain,
( spl72
| spl71 ),
inference(avatar_split_clause,[status(thm)],[c109,sdef71,sdef72]) ).
cnf(c110,plain,
( def2
| op(e3,e3) = e3
| ~ def1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
fof(sdef73,definition,
( spl73
<=> def2 ),
introduced(definition,[new_symbols(naming,[spl73])],[avatar_definition]) ).
cnf(ssp56,plain,
( spl73
| spl68
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c110,sdef63,sdef68,sdef73]) ).
cnf(c111,plain,
( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ def3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp57,plain,
( spl74
| spl65
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c111,sdef0,sdef65,sdef74]) ).
cnf(c112,plain,
( def3
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp58,plain,
( spl75
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c112,sdef0,sdef75]) ).
cnf(c113,plain,
( def3
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp59,plain,
( spl75
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c113,sdef65,sdef75]) ).
cnf(c114,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ def4 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp60,plain,
( spl77
| spl76
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c114,sdef1,sdef76,sdef77]) ).
cnf(c115,plain,
( def4
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp61,plain,
( spl78
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c115,sdef4,sdef78]) ).
cnf(c116,plain,
( def4
| op(e0,e0) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp62,plain,
( spl79
| spl78 ),
inference(avatar_split_clause,[status(thm)],[c116,sdef78,sdef79]) ).
cnf(c117,plain,
( def3
| ~ def5 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp63,plain,
( spl80
| spl75 ),
inference(avatar_split_clause,[status(thm)],[c117,sdef75,sdef80]) ).
cnf(c118,plain,
( def4
| ~ def5 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp64,plain,
( spl80
| spl78 ),
inference(avatar_split_clause,[status(thm)],[c118,sdef78,sdef80]) ).
cnf(c119,plain,
( def5
| ~ def4
| ~ def3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp65,plain,
( spl81
| spl76
| spl74 ),
inference(avatar_split_clause,[status(thm)],[c119,sdef74,sdef76,sdef81]) ).
cnf(c120,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ def6 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp66,plain,
( spl83
| spl82
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c120,sdef2,sdef82,sdef83]) ).
cnf(c121,plain,
( def6
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp67,plain,
( spl84
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c121,sdef8,sdef84]) ).
cnf(c122,plain,
( def6
| op(e0,e0) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp68,plain,
( spl85
| spl84 ),
inference(avatar_split_clause,[status(thm)],[c122,sdef84,sdef85]) ).
cnf(c123,plain,
( def5
| ~ def7 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp69,plain,
( spl86
| spl81 ),
inference(avatar_split_clause,[status(thm)],[c123,sdef81,sdef86]) ).
cnf(c124,plain,
( def6
| ~ def7 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp70,plain,
( spl86
| spl84 ),
inference(avatar_split_clause,[status(thm)],[c124,sdef84,sdef86]) ).
cnf(c125,plain,
( def7
| ~ def6
| ~ def5 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp71,plain,
( spl87
| spl82
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c125,sdef80,sdef82,sdef87]) ).
cnf(c126,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ def8 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp72,plain,
( spl89
| spl88
| spl3 ),
inference(avatar_split_clause,[status(thm)],[c126,sdef3,sdef88,sdef89]) ).
cnf(c127,plain,
( def8
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp73,plain,
( spl90
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c127,sdef12,sdef90]) ).
cnf(c128,plain,
( def8
| op(e0,e0) != e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp74,plain,
( spl91
| spl90 ),
inference(avatar_split_clause,[status(thm)],[c128,sdef90,sdef91]) ).
cnf(c129,plain,
( def7
| ~ def9 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp75,plain,
( spl92
| spl87 ),
inference(avatar_split_clause,[status(thm)],[c129,sdef87,sdef92]) ).
cnf(c130,plain,
( def8
| ~ def9 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp76,plain,
( spl92
| spl90 ),
inference(avatar_split_clause,[status(thm)],[c130,sdef90,sdef92]) ).
cnf(c131,plain,
( def9
| ~ def8
| ~ def7 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp77,plain,
( spl93
| spl88
| spl86 ),
inference(avatar_split_clause,[status(thm)],[c131,sdef86,sdef88,sdef93]) ).
cnf(c132,plain,
( op(e1,e0) = e0
| op(e1,e0) != e0
| ~ def10 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp78,plain,
( spl95
| spl94
| spl16 ),
inference(avatar_split_clause,[status(thm)],[c132,sdef16,sdef94,sdef95]) ).
cnf(c133,plain,
( def10
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp79,plain,
( spl96
| spl16 ),
inference(avatar_split_clause,[status(thm)],[c133,sdef16,sdef96]) ).
cnf(c134,plain,
( def10
| op(e1,e0) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp80,plain,
( spl96
| spl95 ),
inference(avatar_split_clause,[status(thm)],[c134,sdef95,sdef96]) ).
cnf(c135,plain,
( def9
| ~ def11 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp81,plain,
( spl97
| spl93 ),
inference(avatar_split_clause,[status(thm)],[c135,sdef93,sdef97]) ).
cnf(c136,plain,
( def10
| ~ def11 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp82,plain,
( spl97
| spl96 ),
inference(avatar_split_clause,[status(thm)],[c136,sdef96,sdef97]) ).
cnf(c137,plain,
( def11
| ~ def10
| ~ def9 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp83,plain,
( spl98
| spl94
| spl92 ),
inference(avatar_split_clause,[status(thm)],[c137,sdef92,sdef94,sdef98]) ).
cnf(c138,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ def12 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp84,plain,
( spl100
| spl99
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c138,sdef17,sdef99,sdef100]) ).
cnf(c139,plain,
( def12
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp85,plain,
( spl101
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c139,sdef20,sdef101]) ).
cnf(c140,plain,
( def12
| op(e1,e0) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp86,plain,
( spl102
| spl101 ),
inference(avatar_split_clause,[status(thm)],[c140,sdef101,sdef102]) ).
cnf(c141,plain,
( def11
| ~ def13 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp87,plain,
( spl103
| spl98 ),
inference(avatar_split_clause,[status(thm)],[c141,sdef98,sdef103]) ).
cnf(c142,plain,
( def12
| ~ def13 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp88,plain,
( spl103
| spl101 ),
inference(avatar_split_clause,[status(thm)],[c142,sdef101,sdef103]) ).
cnf(c143,plain,
( def13
| ~ def12
| ~ def11 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp89,plain,
( spl104
| spl99
| spl97 ),
inference(avatar_split_clause,[status(thm)],[c143,sdef97,sdef99,sdef104]) ).
cnf(c144,plain,
( op(e1,e0) = e2
| op(e1,e2) != e0
| ~ def14 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp90,plain,
( spl106
| spl105
| spl18 ),
inference(avatar_split_clause,[status(thm)],[c144,sdef18,sdef105,sdef106]) ).
cnf(c145,plain,
( def14
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp91,plain,
( spl107
| spl24 ),
inference(avatar_split_clause,[status(thm)],[c145,sdef24,sdef107]) ).
cnf(c146,plain,
( def14
| op(e1,e0) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp92,plain,
( spl108
| spl107 ),
inference(avatar_split_clause,[status(thm)],[c146,sdef107,sdef108]) ).
cnf(c147,plain,
( def13
| ~ def15 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp93,plain,
( spl109
| spl104 ),
inference(avatar_split_clause,[status(thm)],[c147,sdef104,sdef109]) ).
cnf(c148,plain,
( def14
| ~ def15 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp94,plain,
( spl109
| spl107 ),
inference(avatar_split_clause,[status(thm)],[c148,sdef107,sdef109]) ).
cnf(c149,plain,
( def15
| ~ def14
| ~ def13 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp95,plain,
( spl110
| spl105
| spl103 ),
inference(avatar_split_clause,[status(thm)],[c149,sdef103,sdef105,sdef110]) ).
cnf(c150,plain,
( op(e1,e0) = e3
| op(e1,e3) != e0
| ~ def16 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp96,plain,
( spl112
| spl111
| spl19 ),
inference(avatar_split_clause,[status(thm)],[c150,sdef19,sdef111,sdef112]) ).
cnf(c151,plain,
( def16
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp97,plain,
( spl113
| spl28 ),
inference(avatar_split_clause,[status(thm)],[c151,sdef28,sdef113]) ).
cnf(c152,plain,
( def16
| op(e1,e0) != e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp98,plain,
( spl114
| spl113 ),
inference(avatar_split_clause,[status(thm)],[c152,sdef113,sdef114]) ).
cnf(c153,plain,
( def15
| ~ def17 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp99,plain,
( spl115
| spl110 ),
inference(avatar_split_clause,[status(thm)],[c153,sdef110,sdef115]) ).
cnf(c154,plain,
( def16
| ~ def17 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp100,plain,
( spl115
| spl113 ),
inference(avatar_split_clause,[status(thm)],[c154,sdef113,sdef115]) ).
cnf(c155,plain,
( def17
| ~ def16
| ~ def15 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp101,plain,
( spl116
| spl111
| spl109 ),
inference(avatar_split_clause,[status(thm)],[c155,sdef109,sdef111,sdef116]) ).
cnf(c156,plain,
( op(e2,e0) = e0
| op(e2,e0) != e0
| ~ def18 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp102,plain,
( spl118
| spl117
| spl32 ),
inference(avatar_split_clause,[status(thm)],[c156,sdef32,sdef117,sdef118]) ).
cnf(c157,plain,
( def18
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp103,plain,
( spl119
| spl32 ),
inference(avatar_split_clause,[status(thm)],[c157,sdef32,sdef119]) ).
cnf(c158,plain,
( def18
| op(e2,e0) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp104,plain,
( spl119
| spl118 ),
inference(avatar_split_clause,[status(thm)],[c158,sdef118,sdef119]) ).
cnf(c159,plain,
( def17
| ~ def19 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp105,plain,
( spl120
| spl116 ),
inference(avatar_split_clause,[status(thm)],[c159,sdef116,sdef120]) ).
cnf(c160,plain,
( def18
| ~ def19 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp106,plain,
( spl120
| spl119 ),
inference(avatar_split_clause,[status(thm)],[c160,sdef119,sdef120]) ).
cnf(c161,plain,
( def19
| ~ def18
| ~ def17 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp107,plain,
( spl121
| spl117
| spl115 ),
inference(avatar_split_clause,[status(thm)],[c161,sdef115,sdef117,sdef121]) ).
cnf(c162,plain,
( op(e2,e0) = e1
| op(e2,e1) != e0
| ~ def20 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp108,plain,
( spl123
| spl122
| spl33 ),
inference(avatar_split_clause,[status(thm)],[c162,sdef33,sdef122,sdef123]) ).
cnf(c163,plain,
( def20
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp109,plain,
( spl124
| spl36 ),
inference(avatar_split_clause,[status(thm)],[c163,sdef36,sdef124]) ).
cnf(c164,plain,
( def20
| op(e2,e0) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp110,plain,
( spl125
| spl124 ),
inference(avatar_split_clause,[status(thm)],[c164,sdef124,sdef125]) ).
cnf(c165,plain,
( def19
| ~ def21 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp111,plain,
( spl126
| spl121 ),
inference(avatar_split_clause,[status(thm)],[c165,sdef121,sdef126]) ).
cnf(c166,plain,
( def20
| ~ def21 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp112,plain,
( spl126
| spl124 ),
inference(avatar_split_clause,[status(thm)],[c166,sdef124,sdef126]) ).
cnf(c167,plain,
( def21
| ~ def20
| ~ def19 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp113,plain,
( spl127
| spl122
| spl120 ),
inference(avatar_split_clause,[status(thm)],[c167,sdef120,sdef122,sdef127]) ).
cnf(c168,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ def22 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp114,plain,
( spl129
| spl128
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c168,sdef34,sdef128,sdef129]) ).
cnf(c169,plain,
( def22
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp115,plain,
( spl130
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c169,sdef40,sdef130]) ).
cnf(c170,plain,
( def22
| op(e2,e0) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp116,plain,
( spl131
| spl130 ),
inference(avatar_split_clause,[status(thm)],[c170,sdef130,sdef131]) ).
cnf(c171,plain,
( def21
| ~ def23 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp117,plain,
( spl132
| spl127 ),
inference(avatar_split_clause,[status(thm)],[c171,sdef127,sdef132]) ).
cnf(c172,plain,
( def22
| ~ def23 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp118,plain,
( spl132
| spl130 ),
inference(avatar_split_clause,[status(thm)],[c172,sdef130,sdef132]) ).
cnf(c173,plain,
( def23
| ~ def22
| ~ def21 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp119,plain,
( spl133
| spl128
| spl126 ),
inference(avatar_split_clause,[status(thm)],[c173,sdef126,sdef128,sdef133]) ).
cnf(c174,plain,
( op(e2,e0) = e3
| op(e2,e3) != e0
| ~ def24 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp120,plain,
( spl135
| spl134
| spl35 ),
inference(avatar_split_clause,[status(thm)],[c174,sdef35,sdef134,sdef135]) ).
cnf(c175,plain,
( def24
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp121,plain,
( spl136
| spl44 ),
inference(avatar_split_clause,[status(thm)],[c175,sdef44,sdef136]) ).
cnf(c176,plain,
( def24
| op(e2,e0) != e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp122,plain,
( spl137
| spl136 ),
inference(avatar_split_clause,[status(thm)],[c176,sdef136,sdef137]) ).
cnf(c177,plain,
( def23
| ~ def25 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp123,plain,
( spl138
| spl133 ),
inference(avatar_split_clause,[status(thm)],[c177,sdef133,sdef138]) ).
cnf(c178,plain,
( def24
| ~ def25 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp124,plain,
( spl138
| spl136 ),
inference(avatar_split_clause,[status(thm)],[c178,sdef136,sdef138]) ).
cnf(c179,plain,
( def25
| ~ def24
| ~ def23 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp125,plain,
( spl139
| spl134
| spl132 ),
inference(avatar_split_clause,[status(thm)],[c179,sdef132,sdef134,sdef139]) ).
cnf(c180,plain,
( op(e3,e0) = e0
| op(e3,e0) != e0
| ~ def26 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp126,plain,
( spl141
| spl140
| spl48 ),
inference(avatar_split_clause,[status(thm)],[c180,sdef48,sdef140,sdef141]) ).
cnf(c181,plain,
( def26
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp127,plain,
( spl142
| spl48 ),
inference(avatar_split_clause,[status(thm)],[c181,sdef48,sdef142]) ).
cnf(c182,plain,
( def26
| op(e3,e0) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp128,plain,
( spl142
| spl141 ),
inference(avatar_split_clause,[status(thm)],[c182,sdef141,sdef142]) ).
cnf(c183,plain,
( def25
| ~ def27 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp129,plain,
( spl143
| spl139 ),
inference(avatar_split_clause,[status(thm)],[c183,sdef139,sdef143]) ).
cnf(c184,plain,
( def26
| ~ def27 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp130,plain,
( spl143
| spl142 ),
inference(avatar_split_clause,[status(thm)],[c184,sdef142,sdef143]) ).
cnf(c185,plain,
( def27
| ~ def26
| ~ def25 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp131,plain,
( spl144
| spl140
| spl138 ),
inference(avatar_split_clause,[status(thm)],[c185,sdef138,sdef140,sdef144]) ).
cnf(c186,plain,
( op(e3,e0) = e1
| op(e3,e1) != e0
| ~ def28 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp132,plain,
( spl146
| spl145
| spl49 ),
inference(avatar_split_clause,[status(thm)],[c186,sdef49,sdef145,sdef146]) ).
cnf(c187,plain,
( def28
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp133,plain,
( spl147
| spl52 ),
inference(avatar_split_clause,[status(thm)],[c187,sdef52,sdef147]) ).
cnf(c188,plain,
( def28
| op(e3,e0) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp134,plain,
( spl148
| spl147 ),
inference(avatar_split_clause,[status(thm)],[c188,sdef147,sdef148]) ).
cnf(c189,plain,
( def27
| ~ def29 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp135,plain,
( spl149
| spl144 ),
inference(avatar_split_clause,[status(thm)],[c189,sdef144,sdef149]) ).
cnf(c190,plain,
( def28
| ~ def29 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp136,plain,
( spl149
| spl147 ),
inference(avatar_split_clause,[status(thm)],[c190,sdef147,sdef149]) ).
cnf(c191,plain,
( def29
| ~ def28
| ~ def27 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp137,plain,
( spl150
| spl145
| spl143 ),
inference(avatar_split_clause,[status(thm)],[c191,sdef143,sdef145,sdef150]) ).
cnf(c192,plain,
( op(e3,e0) = e2
| op(e3,e2) != e0
| ~ def30 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp138,plain,
( spl152
| spl151
| spl50 ),
inference(avatar_split_clause,[status(thm)],[c192,sdef50,sdef151,sdef152]) ).
cnf(c193,plain,
( def30
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp139,plain,
( spl153
| spl56 ),
inference(avatar_split_clause,[status(thm)],[c193,sdef56,sdef153]) ).
cnf(c194,plain,
( def30
| op(e3,e0) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp140,plain,
( spl154
| spl153 ),
inference(avatar_split_clause,[status(thm)],[c194,sdef153,sdef154]) ).
cnf(c195,plain,
( def29
| ~ def31 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp141,plain,
( spl155
| spl150 ),
inference(avatar_split_clause,[status(thm)],[c195,sdef150,sdef155]) ).
cnf(c196,plain,
( def30
| ~ def31 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp142,plain,
( spl155
| spl153 ),
inference(avatar_split_clause,[status(thm)],[c196,sdef153,sdef155]) ).
cnf(c197,plain,
( def31
| ~ def30
| ~ def29 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp143,plain,
( spl156
| spl151
| spl149 ),
inference(avatar_split_clause,[status(thm)],[c197,sdef149,sdef151,sdef156]) ).
cnf(c198,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ def32 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp144,plain,
( spl158
| spl157
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c198,sdef51,sdef157,sdef158]) ).
cnf(c199,plain,
( def32
| op(e3,e3) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp145,plain,
( spl159
| spl60 ),
inference(avatar_split_clause,[status(thm)],[c199,sdef60,sdef159]) ).
cnf(c200,plain,
( def32
| op(e3,e0) != e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp146,plain,
( spl160
| spl159 ),
inference(avatar_split_clause,[status(thm)],[c200,sdef159,sdef160]) ).
cnf(c201,plain,
( def31
| ~ def33 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp147,plain,
( spl161
| spl156 ),
inference(avatar_split_clause,[status(thm)],[c201,sdef156,sdef161]) ).
cnf(c202,plain,
( def32
| ~ def33 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp148,plain,
( spl161
| spl159 ),
inference(avatar_split_clause,[status(thm)],[c202,sdef159,sdef161]) ).
cnf(c203,plain,
( def33
| ~ def32
| ~ def31 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp149,plain,
( spl162
| spl157
| spl155 ),
inference(avatar_split_clause,[status(thm)],[c203,sdef155,sdef157,sdef162]) ).
cnf(c204,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ def34 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp150,plain,
( spl163
| spl79
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c204,sdef4,sdef79,sdef163]) ).
cnf(c205,plain,
( def34
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp151,plain,
( spl164
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c205,sdef1,sdef164]) ).
cnf(c206,plain,
( def34
| op(e0,e1) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp152,plain,
( spl164
| spl77 ),
inference(avatar_split_clause,[status(thm)],[c206,sdef77,sdef164]) ).
cnf(c207,plain,
( op(e0,e1) = e1
| op(e0,e1) != e1
| ~ def35 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp153,plain,
( spl166
| spl165
| spl5 ),
inference(avatar_split_clause,[status(thm)],[c207,sdef5,sdef165,sdef166]) ).
cnf(c208,plain,
( def35
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp154,plain,
( spl167
| spl5 ),
inference(avatar_split_clause,[status(thm)],[c208,sdef5,sdef167]) ).
cnf(c209,plain,
( def35
| op(e0,e1) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp155,plain,
( spl167
| spl166 ),
inference(avatar_split_clause,[status(thm)],[c209,sdef166,sdef167]) ).
cnf(c210,plain,
( def34
| ~ def36 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp156,plain,
( spl168
| spl164 ),
inference(avatar_split_clause,[status(thm)],[c210,sdef164,sdef168]) ).
cnf(c211,plain,
( def35
| ~ def36 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp157,plain,
( spl168
| spl167 ),
inference(avatar_split_clause,[status(thm)],[c211,sdef167,sdef168]) ).
cnf(c212,plain,
( def36
| ~ def35
| ~ def34 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp158,plain,
( spl169
| spl165
| spl163 ),
inference(avatar_split_clause,[status(thm)],[c212,sdef163,sdef165,sdef169]) ).
cnf(c213,plain,
( op(e0,e1) = e2
| op(e0,e2) != e1
| ~ def37 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp159,plain,
( spl171
| spl170
| spl6 ),
inference(avatar_split_clause,[status(thm)],[c213,sdef6,sdef170,sdef171]) ).
cnf(c214,plain,
( def37
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp160,plain,
( spl172
| spl9 ),
inference(avatar_split_clause,[status(thm)],[c214,sdef9,sdef172]) ).
cnf(c215,plain,
( def37
| op(e0,e1) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp161,plain,
( spl173
| spl172 ),
inference(avatar_split_clause,[status(thm)],[c215,sdef172,sdef173]) ).
cnf(c216,plain,
( def36
| ~ def38 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp162,plain,
( spl174
| spl169 ),
inference(avatar_split_clause,[status(thm)],[c216,sdef169,sdef174]) ).
cnf(c217,plain,
( def37
| ~ def38 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp163,plain,
( spl174
| spl172 ),
inference(avatar_split_clause,[status(thm)],[c217,sdef172,sdef174]) ).
cnf(c218,plain,
( def38
| ~ def37
| ~ def36 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp164,plain,
( spl175
| spl170
| spl168 ),
inference(avatar_split_clause,[status(thm)],[c218,sdef168,sdef170,sdef175]) ).
cnf(c219,plain,
( op(e0,e1) = e3
| op(e0,e3) != e1
| ~ def39 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp165,plain,
( spl177
| spl176
| spl7 ),
inference(avatar_split_clause,[status(thm)],[c219,sdef7,sdef176,sdef177]) ).
cnf(c220,plain,
( def39
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp166,plain,
( spl178
| spl13 ),
inference(avatar_split_clause,[status(thm)],[c220,sdef13,sdef178]) ).
cnf(c221,plain,
( def39
| op(e0,e1) != e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp167,plain,
( spl179
| spl178 ),
inference(avatar_split_clause,[status(thm)],[c221,sdef178,sdef179]) ).
cnf(c222,plain,
( def38
| ~ def40 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp168,plain,
( spl180
| spl175 ),
inference(avatar_split_clause,[status(thm)],[c222,sdef175,sdef180]) ).
cnf(c223,plain,
( def39
| ~ def40 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp169,plain,
( spl180
| spl178 ),
inference(avatar_split_clause,[status(thm)],[c223,sdef178,sdef180]) ).
cnf(c224,plain,
( def40
| ~ def39
| ~ def38 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp170,plain,
( spl181
| spl176
| spl174 ),
inference(avatar_split_clause,[status(thm)],[c224,sdef174,sdef176,sdef181]) ).
cnf(c225,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ def41 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp171,plain,
( spl182
| spl102
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c225,sdef20,sdef102,sdef182]) ).
cnf(c226,plain,
( def41
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp172,plain,
( spl183
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c226,sdef17,sdef183]) ).
cnf(c227,plain,
( def41
| op(e1,e1) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp173,plain,
( spl183
| spl100 ),
inference(avatar_split_clause,[status(thm)],[c227,sdef100,sdef183]) ).
cnf(c228,plain,
( def40
| ~ def42 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp174,plain,
( spl184
| spl181 ),
inference(avatar_split_clause,[status(thm)],[c228,sdef181,sdef184]) ).
cnf(c229,plain,
( def41
| ~ def42 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp175,plain,
( spl184
| spl183 ),
inference(avatar_split_clause,[status(thm)],[c229,sdef183,sdef184]) ).
cnf(c230,plain,
( def42
| ~ def41
| ~ def40 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp176,plain,
( spl185
| spl182
| spl180 ),
inference(avatar_split_clause,[status(thm)],[c230,sdef180,sdef182,sdef185]) ).
cnf(c231,plain,
( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ def43 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp177,plain,
( spl186
| spl66
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c231,sdef21,sdef66,sdef186]) ).
cnf(c232,plain,
( def43
| op(e1,e1) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp178,plain,
( spl187
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c232,sdef21,sdef187]) ).
cnf(c233,plain,
( def43
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp179,plain,
( spl187
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c233,sdef66,sdef187]) ).
cnf(c234,plain,
( def42
| ~ def44 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp180,plain,
( spl188
| spl185 ),
inference(avatar_split_clause,[status(thm)],[c234,sdef185,sdef188]) ).
cnf(c235,plain,
( def43
| ~ def44 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp181,plain,
( spl188
| spl187 ),
inference(avatar_split_clause,[status(thm)],[c235,sdef187,sdef188]) ).
cnf(c236,plain,
( def44
| ~ def43
| ~ def42 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp182,plain,
( spl189
| spl186
| spl184 ),
inference(avatar_split_clause,[status(thm)],[c236,sdef184,sdef186,sdef189]) ).
cnf(c237,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ def45 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp183,plain,
( spl191
| spl190
| spl22 ),
inference(avatar_split_clause,[status(thm)],[c237,sdef22,sdef190,sdef191]) ).
cnf(c238,plain,
( def45
| op(e1,e2) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp184,plain,
( spl192
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c238,sdef25,sdef192]) ).
cnf(c239,plain,
( def45
| op(e1,e1) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp185,plain,
( spl193
| spl192 ),
inference(avatar_split_clause,[status(thm)],[c239,sdef192,sdef193]) ).
cnf(c240,plain,
( def44
| ~ def46 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp186,plain,
( spl194
| spl189 ),
inference(avatar_split_clause,[status(thm)],[c240,sdef189,sdef194]) ).
cnf(c241,plain,
( def45
| ~ def46 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp187,plain,
( spl194
| spl192 ),
inference(avatar_split_clause,[status(thm)],[c241,sdef192,sdef194]) ).
cnf(c242,plain,
( def46
| ~ def45
| ~ def44 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp188,plain,
( spl195
| spl190
| spl188 ),
inference(avatar_split_clause,[status(thm)],[c242,sdef188,sdef190,sdef195]) ).
cnf(c243,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ def47 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp189,plain,
( spl197
| spl196
| spl23 ),
inference(avatar_split_clause,[status(thm)],[c243,sdef23,sdef196,sdef197]) ).
cnf(c244,plain,
( def47
| op(e1,e3) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp190,plain,
( spl198
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c244,sdef29,sdef198]) ).
cnf(c245,plain,
( def47
| op(e1,e1) != e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp191,plain,
( spl199
| spl198 ),
inference(avatar_split_clause,[status(thm)],[c245,sdef198,sdef199]) ).
cnf(c246,plain,
( def46
| ~ def48 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp192,plain,
( spl200
| spl195 ),
inference(avatar_split_clause,[status(thm)],[c246,sdef195,sdef200]) ).
cnf(c247,plain,
( def47
| ~ def48 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp193,plain,
( spl200
| spl198 ),
inference(avatar_split_clause,[status(thm)],[c247,sdef198,sdef200]) ).
cnf(c248,plain,
( def48
| ~ def47
| ~ def46 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp194,plain,
( spl201
| spl196
| spl194 ),
inference(avatar_split_clause,[status(thm)],[c248,sdef194,sdef196,sdef201]) ).
cnf(c249,plain,
( op(e2,e1) = e0
| op(e2,e0) != e1
| ~ def49 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp195,plain,
( spl202
| spl125
| spl36 ),
inference(avatar_split_clause,[status(thm)],[c249,sdef36,sdef125,sdef202]) ).
cnf(c250,plain,
( def49
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp196,plain,
( spl203
| spl33 ),
inference(avatar_split_clause,[status(thm)],[c250,sdef33,sdef203]) ).
cnf(c251,plain,
( def49
| op(e2,e1) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp197,plain,
( spl203
| spl123 ),
inference(avatar_split_clause,[status(thm)],[c251,sdef123,sdef203]) ).
cnf(c252,plain,
( def48
| ~ def50 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp198,plain,
( spl204
| spl201 ),
inference(avatar_split_clause,[status(thm)],[c252,sdef201,sdef204]) ).
cnf(c253,plain,
( def49
| ~ def50 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp199,plain,
( spl204
| spl203 ),
inference(avatar_split_clause,[status(thm)],[c253,sdef203,sdef204]) ).
cnf(c254,plain,
( def50
| ~ def49
| ~ def48 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp200,plain,
( spl205
| spl202
| spl200 ),
inference(avatar_split_clause,[status(thm)],[c254,sdef200,sdef202,sdef205]) ).
cnf(c255,plain,
( op(e2,e1) = e1
| op(e2,e1) != e1
| ~ def51 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp201,plain,
( spl207
| spl206
| spl37 ),
inference(avatar_split_clause,[status(thm)],[c255,sdef37,sdef206,sdef207]) ).
cnf(c256,plain,
( def51
| op(e2,e1) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp202,plain,
( spl208
| spl37 ),
inference(avatar_split_clause,[status(thm)],[c256,sdef37,sdef208]) ).
cnf(c257,plain,
( def51
| op(e2,e1) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp203,plain,
( spl208
| spl207 ),
inference(avatar_split_clause,[status(thm)],[c257,sdef207,sdef208]) ).
cnf(c258,plain,
( def50
| ~ def52 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp204,plain,
( spl209
| spl205 ),
inference(avatar_split_clause,[status(thm)],[c258,sdef205,sdef209]) ).
cnf(c259,plain,
( def51
| ~ def52 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp205,plain,
( spl209
| spl208 ),
inference(avatar_split_clause,[status(thm)],[c259,sdef208,sdef209]) ).
cnf(c260,plain,
( def52
| ~ def51
| ~ def50 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp206,plain,
( spl210
| spl206
| spl204 ),
inference(avatar_split_clause,[status(thm)],[c260,sdef204,sdef206,sdef210]) ).
cnf(c261,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| ~ def53 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp207,plain,
( spl212
| spl211
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c261,sdef38,sdef211,sdef212]) ).
cnf(c262,plain,
( def53
| op(e2,e2) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp208,plain,
( spl213
| spl41 ),
inference(avatar_split_clause,[status(thm)],[c262,sdef41,sdef213]) ).
cnf(c263,plain,
( def53
| op(e2,e1) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp209,plain,
( spl214
| spl213 ),
inference(avatar_split_clause,[status(thm)],[c263,sdef213,sdef214]) ).
cnf(c264,plain,
( def52
| ~ def54 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp210,plain,
( spl215
| spl210 ),
inference(avatar_split_clause,[status(thm)],[c264,sdef210,sdef215]) ).
cnf(c265,plain,
( def53
| ~ def54 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp211,plain,
( spl215
| spl213 ),
inference(avatar_split_clause,[status(thm)],[c265,sdef213,sdef215]) ).
cnf(c266,plain,
( def54
| ~ def53
| ~ def52 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp212,plain,
( spl216
| spl211
| spl209 ),
inference(avatar_split_clause,[status(thm)],[c266,sdef209,sdef211,sdef216]) ).
cnf(c267,plain,
( op(e2,e1) = e3
| op(e2,e3) != e1
| ~ def55 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp213,plain,
( spl218
| spl217
| spl39 ),
inference(avatar_split_clause,[status(thm)],[c267,sdef39,sdef217,sdef218]) ).
cnf(c268,plain,
( def55
| op(e2,e3) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp214,plain,
( spl219
| spl45 ),
inference(avatar_split_clause,[status(thm)],[c268,sdef45,sdef219]) ).
cnf(c269,plain,
( def55
| op(e2,e1) != e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp215,plain,
( spl220
| spl219 ),
inference(avatar_split_clause,[status(thm)],[c269,sdef219,sdef220]) ).
cnf(c270,plain,
( def54
| ~ def56 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp216,plain,
( spl221
| spl216 ),
inference(avatar_split_clause,[status(thm)],[c270,sdef216,sdef221]) ).
cnf(c271,plain,
( def55
| ~ def56 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp217,plain,
( spl221
| spl219 ),
inference(avatar_split_clause,[status(thm)],[c271,sdef219,sdef221]) ).
cnf(c272,plain,
( def56
| ~ def55
| ~ def54 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp218,plain,
( spl222
| spl217
| spl215 ),
inference(avatar_split_clause,[status(thm)],[c272,sdef215,sdef217,sdef222]) ).
cnf(c273,plain,
( op(e3,e1) = e0
| op(e3,e0) != e1
| ~ def57 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp219,plain,
( spl223
| spl148
| spl52 ),
inference(avatar_split_clause,[status(thm)],[c273,sdef52,sdef148,sdef223]) ).
cnf(c274,plain,
( def57
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp220,plain,
( spl224
| spl49 ),
inference(avatar_split_clause,[status(thm)],[c274,sdef49,sdef224]) ).
cnf(c275,plain,
( def57
| op(e3,e1) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp221,plain,
( spl224
| spl146 ),
inference(avatar_split_clause,[status(thm)],[c275,sdef146,sdef224]) ).
cnf(c276,plain,
( def56
| ~ def58 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp222,plain,
( spl225
| spl222 ),
inference(avatar_split_clause,[status(thm)],[c276,sdef222,sdef225]) ).
cnf(c277,plain,
( def57
| ~ def58 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp223,plain,
( spl225
| spl224 ),
inference(avatar_split_clause,[status(thm)],[c277,sdef224,sdef225]) ).
cnf(c278,plain,
( def58
| ~ def57
| ~ def56 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp224,plain,
( spl226
| spl223
| spl221 ),
inference(avatar_split_clause,[status(thm)],[c278,sdef221,sdef223,sdef226]) ).
cnf(c279,plain,
( op(e3,e1) = e1
| op(e3,e1) != e1
| ~ def59 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp225,plain,
( spl228
| spl227
| spl53 ),
inference(avatar_split_clause,[status(thm)],[c279,sdef53,sdef227,sdef228]) ).
cnf(c280,plain,
( def59
| op(e3,e1) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp226,plain,
( spl229
| spl53 ),
inference(avatar_split_clause,[status(thm)],[c280,sdef53,sdef229]) ).
cnf(c281,plain,
( def59
| op(e3,e1) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp227,plain,
( spl229
| spl228 ),
inference(avatar_split_clause,[status(thm)],[c281,sdef228,sdef229]) ).
cnf(c282,plain,
( def58
| ~ def60 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp228,plain,
( spl230
| spl226 ),
inference(avatar_split_clause,[status(thm)],[c282,sdef226,sdef230]) ).
cnf(c283,plain,
( def59
| ~ def60 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp229,plain,
( spl230
| spl229 ),
inference(avatar_split_clause,[status(thm)],[c283,sdef229,sdef230]) ).
cnf(c284,plain,
( def60
| ~ def59
| ~ def58 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp230,plain,
( spl231
| spl227
| spl225 ),
inference(avatar_split_clause,[status(thm)],[c284,sdef225,sdef227,sdef231]) ).
cnf(c285,plain,
( op(e3,e1) = e2
| op(e3,e2) != e1
| ~ def61 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp231,plain,
( spl233
| spl232
| spl54 ),
inference(avatar_split_clause,[status(thm)],[c285,sdef54,sdef232,sdef233]) ).
cnf(c286,plain,
( def61
| op(e3,e2) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp232,plain,
( spl234
| spl57 ),
inference(avatar_split_clause,[status(thm)],[c286,sdef57,sdef234]) ).
cnf(c287,plain,
( def61
| op(e3,e1) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp233,plain,
( spl235
| spl234 ),
inference(avatar_split_clause,[status(thm)],[c287,sdef234,sdef235]) ).
cnf(c288,plain,
( def60
| ~ def62 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp234,plain,
( spl236
| spl231 ),
inference(avatar_split_clause,[status(thm)],[c288,sdef231,sdef236]) ).
cnf(c289,plain,
( def61
| ~ def62 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp235,plain,
( spl236
| spl234 ),
inference(avatar_split_clause,[status(thm)],[c289,sdef234,sdef236]) ).
cnf(c290,plain,
( def62
| ~ def61
| ~ def60 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp236,plain,
( spl237
| spl232
| spl230 ),
inference(avatar_split_clause,[status(thm)],[c290,sdef230,sdef232,sdef237]) ).
cnf(c291,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| ~ def63 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp237,plain,
( spl239
| spl238
| spl55 ),
inference(avatar_split_clause,[status(thm)],[c291,sdef55,sdef238,sdef239]) ).
cnf(c292,plain,
( def63
| op(e3,e3) = e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp238,plain,
( spl240
| spl61 ),
inference(avatar_split_clause,[status(thm)],[c292,sdef61,sdef240]) ).
cnf(c293,plain,
( def63
| op(e3,e1) != e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp239,plain,
( spl241
| spl240 ),
inference(avatar_split_clause,[status(thm)],[c293,sdef240,sdef241]) ).
cnf(c294,plain,
( def62
| ~ def64 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp240,plain,
( spl242
| spl237 ),
inference(avatar_split_clause,[status(thm)],[c294,sdef237,sdef242]) ).
cnf(c295,plain,
( def63
| ~ def64 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp241,plain,
( spl242
| spl240 ),
inference(avatar_split_clause,[status(thm)],[c295,sdef240,sdef242]) ).
cnf(c296,plain,
( def64
| ~ def63
| ~ def62 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp242,plain,
( spl243
| spl238
| spl236 ),
inference(avatar_split_clause,[status(thm)],[c296,sdef236,sdef238,sdef243]) ).
cnf(c297,plain,
( def64
| def33
| ~ def65 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp243,plain,
( spl244
| spl243
| spl162 ),
inference(avatar_split_clause,[status(thm)],[c297,sdef162,sdef243,sdef244]) ).
cnf(c298,plain,
( def65
| ~ def33 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp244,plain,
( spl245
| spl161 ),
inference(avatar_split_clause,[status(thm)],[c298,sdef161,sdef245]) ).
cnf(c299,plain,
( def65
| ~ def64 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp245,plain,
( spl245
| spl242 ),
inference(avatar_split_clause,[status(thm)],[c299,sdef242,sdef245]) ).
cnf(c300,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ def66 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp246,plain,
( spl246
| spl85
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c300,sdef8,sdef85,sdef246]) ).
cnf(c301,plain,
( def66
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp247,plain,
( spl247
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c301,sdef2,sdef247]) ).
cnf(c302,plain,
( def66
| op(e0,e2) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp248,plain,
( spl247
| spl83 ),
inference(avatar_split_clause,[status(thm)],[c302,sdef83,sdef247]) ).
cnf(c303,plain,
( op(e0,e2) = e1
| op(e0,e1) != e2
| ~ def67 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp249,plain,
( spl248
| spl173
| spl9 ),
inference(avatar_split_clause,[status(thm)],[c303,sdef9,sdef173,sdef248]) ).
cnf(c304,plain,
( def67
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp250,plain,
( spl249
| spl6 ),
inference(avatar_split_clause,[status(thm)],[c304,sdef6,sdef249]) ).
cnf(c305,plain,
( def67
| op(e0,e2) != e1 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp251,plain,
( spl249
| spl171 ),
inference(avatar_split_clause,[status(thm)],[c305,sdef171,sdef249]) ).
cnf(c306,plain,
( def66
| ~ def68 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp252,plain,
( spl250
| spl247 ),
inference(avatar_split_clause,[status(thm)],[c306,sdef247,sdef250]) ).
cnf(c307,plain,
( def67
| ~ def68 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp253,plain,
( spl250
| spl249 ),
inference(avatar_split_clause,[status(thm)],[c307,sdef249,sdef250]) ).
cnf(c308,plain,
( def68
| ~ def67
| ~ def66 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp254,plain,
( spl251
| spl248
| spl246 ),
inference(avatar_split_clause,[status(thm)],[c308,sdef246,sdef248,sdef251]) ).
cnf(c309,plain,
( op(e0,e2) = e2
| op(e0,e2) != e2
| ~ def69 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp255,plain,
( spl253
| spl252
| spl10 ),
inference(avatar_split_clause,[status(thm)],[c309,sdef10,sdef252,sdef253]) ).
cnf(c310,plain,
( def69
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp256,plain,
( spl254
| spl10 ),
inference(avatar_split_clause,[status(thm)],[c310,sdef10,sdef254]) ).
cnf(c311,plain,
( def69
| op(e0,e2) != e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp257,plain,
( spl254
| spl253 ),
inference(avatar_split_clause,[status(thm)],[c311,sdef253,sdef254]) ).
cnf(c312,plain,
( def68
| ~ def70 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp258,plain,
( spl255
| spl251 ),
inference(avatar_split_clause,[status(thm)],[c312,sdef251,sdef255]) ).
cnf(c313,plain,
( def69
| ~ def70 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(ssp259,plain,
( spl255
| spl254 ),
inference(avatar_split_clause,[status(thm)],[c313,sdef254,sdef255]) ).
cnf(c370,plain,
( def89
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c53,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1397,plain,
( ~ spl34
| e2 != op(e3,e0) ),
inference(superposition,[status(thm)],[p43,c53]) ).
cnf(p4138,plain,
( ~ spl34
| e2 != e2
| def89 ),
inference(superposition,[status(thm)],[c370,p1397]) ).
cnf(p5048,plain,
( ~ spl34
| def89 ),
inference(equality_resolution,[status(thm)],[p4138]) ).
cnf(c369,plain,
( op(e3,e2) = e0
| op(e3,e0) != e2
| ~ def89 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p5050,plain,
( ~ spl34
| op(e3,e2) = e0
| op(e3,e0) != e2 ),
inference(resolution,[status(thm)],[p5048,c369]) ).
cnf(ssp260,plain,
( spl154
| spl56
| ~ spl34 ),
inference(avatar_split_clause,[status(thm)],[p5050,sdef56,sdef154]) ).
cnf(c352,plain,
( def83
| op(e2,e1) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c57,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1535,plain,
( ~ spl22
| e2 != op(e2,e1) ),
inference(superposition,[status(thm)],[p28,c57]) ).
cnf(p4150,plain,
( ~ spl22
| e2 != e2
| def83 ),
inference(superposition,[status(thm)],[c352,p1535]) ).
cnf(p5232,plain,
( ~ spl22
| def83 ),
inference(equality_resolution,[status(thm)],[p4150]) ).
cnf(c351,plain,
( op(e2,e2) = e1
| op(e2,e1) != e2
| ~ def83 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p5235,plain,
( ~ spl22
| op(e2,e2) = e1
| op(e2,e1) != e2 ),
inference(resolution,[status(thm)],[p5232,c351]) ).
cnf(ssp261,plain,
( spl214
| spl41
| ~ spl22 ),
inference(avatar_split_clause,[status(thm)],[p5235,sdef41,sdef214]) ).
cnf(c376,plain,
( def91
| op(e3,e1) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c58,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1543,plain,
( ~ spl22
| e2 != op(e3,e1) ),
inference(superposition,[status(thm)],[p28,c58]) ).
cnf(p4153,plain,
( ~ spl22
| e2 != e2
| def91 ),
inference(superposition,[status(thm)],[c376,p1543]) ).
cnf(p5236,plain,
( ~ spl22
| def91 ),
inference(equality_resolution,[status(thm)],[p4153]) ).
cnf(c375,plain,
( op(e3,e2) = e1
| op(e3,e1) != e2
| ~ def91 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p5237,plain,
( ~ spl22
| op(e3,e2) = e1
| op(e3,e1) != e2 ),
inference(resolution,[status(thm)],[p5236,c375]) ).
cnf(ssp262,plain,
( spl235
| spl57
| ~ spl22 ),
inference(avatar_split_clause,[status(thm)],[p5237,sdef57,sdef235]) ).
cnf(c84,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2267,plain,
( ~ spl34
| e2 != op(e2,e1) ),
inference(superposition,[status(thm)],[p43,c84]) ).
cnf(p4236,plain,
( ~ spl34
| e2 != e2
| def83 ),
inference(superposition,[status(thm)],[c352,p2267]) ).
cnf(p5596,plain,
( ~ spl34
| def83 ),
inference(equality_resolution,[status(thm)],[p4236]) ).
cnf(p5599,plain,
( ~ spl34
| op(e2,e2) = e1
| op(e2,e1) != e2 ),
inference(resolution,[status(thm)],[p5596,c351]) ).
cnf(ssp263,plain,
( spl214
| spl41
| ~ spl34 ),
inference(avatar_split_clause,[status(thm)],[p5599,sdef41,sdef214]) ).
cnf(c418,plain,
( def105
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c48,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3969,plain,
( ~ spl3
| e3 != op(e1,e0) ),
inference(superposition,[status(thm)],[p4,c48]) ).
cnf(p4467,plain,
( ~ spl3
| e3 != e3
| def105 ),
inference(superposition,[status(thm)],[c418,p3969]) ).
cnf(p6162,plain,
( ~ spl3
| def105 ),
inference(equality_resolution,[status(thm)],[p4467]) ).
cnf(p6163,plain,
( ~ spl3
| op(e1,e3) = e0
| op(e1,e0) != e3 ),
inference(resolution,[status(thm)],[p6162,c417]) ).
cnf(ssp264,plain,
( spl114
| spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p6163,sdef28,sdef114]) ).
cnf(c442,plain,
( def113
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c49,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3970,plain,
( ~ spl3
| e3 != op(e2,e0) ),
inference(superposition,[status(thm)],[p4,c49]) ).
cnf(p4470,plain,
( ~ spl3
| e3 != e3
| def113 ),
inference(superposition,[status(thm)],[c442,p3970]) ).
cnf(p6167,plain,
( ~ spl3
| def113 ),
inference(equality_resolution,[status(thm)],[p4470]) ).
cnf(p6168,plain,
( ~ spl3
| op(e2,e3) = e0
| op(e2,e0) != e3 ),
inference(resolution,[status(thm)],[p6167,c441]) ).
cnf(ssp265,plain,
( spl137
| spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p6168,sdef44,sdef137]) ).
cnf(c400,plain,
( def99
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c72,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3972,plain,
( ~ spl3
| e3 != op(e0,e1) ),
inference(superposition,[status(thm)],[p4,c72]) ).
cnf(p4473,plain,
( ~ spl3
| e3 != e3
| def99 ),
inference(superposition,[status(thm)],[c400,p3972]) ).
cnf(p6169,plain,
( ~ spl3
| def99 ),
inference(equality_resolution,[status(thm)],[p4473]) ).
cnf(c399,plain,
( op(e0,e3) = e1
| op(e0,e1) != e3
| ~ def99 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p6170,plain,
( ~ spl3
| op(e0,e3) = e1
| op(e0,e1) != e3 ),
inference(resolution,[status(thm)],[p6169,c399]) ).
cnf(ssp266,plain,
( spl179
| spl13
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p6170,sdef13,sdef179]) ).
cnf(c466,plain,
( def121
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c50,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3971,plain,
( ~ spl3
| e3 != op(e3,e0) ),
inference(superposition,[status(thm)],[p4,c50]) ).
cnf(p4685,plain,
( ~ spl3
| e3 != e3
| def121 ),
inference(superposition,[status(thm)],[c466,p3971]) ).
cnf(p6823,plain,
( ~ spl3
| def121 ),
inference(equality_resolution,[status(thm)],[p4685]) ).
cnf(c465,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| ~ def121 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p6826,plain,
( ~ spl3
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(resolution,[status(thm)],[p6823,c465]) ).
cnf(ssp267,plain,
( spl160
| spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p6826,sdef60,sdef160]) ).
cnf(c396,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ def98 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c408,plain,
( def100
| ~ def102 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4114,plain,
( def100
| def97 ),
inference(resolution,[status(thm)],[p4101,c408]) ).
cnf(c402,plain,
( def98
| ~ def100 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4116,plain,
( def98
| def97 ),
inference(resolution,[status(thm)],[p4114,c402]) ).
cnf(p4151,plain,
( def97
| op(e0,e3) = e0
| op(e0,e0) != e3 ),
inference(resolution,[status(thm)],[c396,p4116]) ).
cnf(p7074,plain,
( ~ spl3
| def97
| op(e0,e3) = e0 ),
inference(resolution,[status(thm)],[p4151,p4]) ).
cnf(p8530,plain,
( ~ spl89
| ~ spl3
| def97 ),
inference(resolution,[status(thm)],[p7074,p216]) ).
cnf(p8536,plain,
( ~ spl89
| ~ spl3
| def96
| def65 ),
inference(resolution,[status(thm)],[p8530,c393]) ).
cnf(p8538,plain,
( ~ spl89
| ~ spl3
| def94
| def65 ),
inference(resolution,[status(thm)],[p8536,c390]) ).
cnf(p8541,plain,
( ~ spl89
| ~ spl3
| def92
| def65 ),
inference(resolution,[status(thm)],[p8538,c384]) ).
cnf(c379,plain,
( def91
| ~ def92 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p8547,plain,
( ~ spl89
| ~ spl3
| def91
| def65 ),
inference(resolution,[status(thm)],[p8541,c379]) ).
cnf(p8552,plain,
( ~ spl89
| ~ spl3
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p8547,c375]) ).
cnf(ssp268,plain,
( spl245
| spl235
| spl57
| ~ spl89
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8552,sdef57,sdef235,sdef245]) ).
cnf(p8533,plain,
( ~ spl60
| ~ spl3
| def97 ),
inference(resolution,[status(thm)],[p7074,p1772]) ).
cnf(p8537,plain,
( ~ spl60
| ~ spl3
| def96
| def65 ),
inference(resolution,[status(thm)],[p8533,c393]) ).
cnf(p8540,plain,
( ~ spl60
| ~ spl3
| def94
| def65 ),
inference(resolution,[status(thm)],[p8537,c390]) ).
cnf(p8543,plain,
( ~ spl60
| ~ spl3
| def92
| def65 ),
inference(resolution,[status(thm)],[p8540,c384]) ).
cnf(p8549,plain,
( ~ spl60
| ~ spl3
| def91
| def65 ),
inference(resolution,[status(thm)],[p8543,c379]) ).
cnf(p8555,plain,
( ~ spl60
| ~ spl3
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p8549,c375]) ).
cnf(ssp269,plain,
( spl245
| spl235
| spl57
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8555,sdef57,sdef235,sdef245]) ).
cnf(p8546,plain,
( ~ spl89
| ~ spl3
| def90
| def65 ),
inference(resolution,[status(thm)],[p8541,c378]) ).
cnf(c373,plain,
( def89
| ~ def90 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p8551,plain,
( ~ spl89
| ~ spl3
| def89
| def65 ),
inference(resolution,[status(thm)],[p8546,c373]) ).
cnf(p8558,plain,
( ~ spl89
| ~ spl3
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p8551,c369]) ).
cnf(ssp270,plain,
( spl245
| spl154
| spl56
| ~ spl89
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8558,sdef56,sdef154,sdef245]) ).
cnf(p8548,plain,
( ~ spl60
| ~ spl3
| def90
| def65 ),
inference(resolution,[status(thm)],[p8543,c378]) ).
cnf(p8554,plain,
( ~ spl60
| ~ spl3
| def89
| def65 ),
inference(resolution,[status(thm)],[p8548,c373]) ).
cnf(p8561,plain,
( ~ spl60
| ~ spl3
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p8554,c369]) ).
cnf(ssp271,plain,
( spl245
| spl154
| spl56
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8561,sdef56,sdef154,sdef245]) ).
cnf(p8550,plain,
( ~ spl89
| ~ spl3
| def88
| def65 ),
inference(resolution,[status(thm)],[p8546,c372]) ).
cnf(p8556,plain,
( ~ spl89
| ~ spl3
| def86
| def65 ),
inference(resolution,[status(thm)],[p8550,c366]) ).
cnf(p8562,plain,
( ~ spl89
| ~ spl3
| def84
| def65 ),
inference(resolution,[status(thm)],[p8556,c360]) ).
cnf(c355,plain,
( def83
| ~ def84 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p8569,plain,
( ~ spl89
| ~ spl3
| def83
| def65 ),
inference(resolution,[status(thm)],[p8562,c355]) ).
cnf(p8575,plain,
( ~ spl89
| ~ spl3
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p8569,c351]) ).
cnf(ssp272,plain,
( spl245
| spl214
| spl41
| ~ spl89
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8575,sdef41,sdef214,sdef245]) ).
cnf(p8553,plain,
( ~ spl60
| ~ spl3
| def88
| def65 ),
inference(resolution,[status(thm)],[p8548,c372]) ).
cnf(p8559,plain,
( ~ spl60
| ~ spl3
| def86
| def65 ),
inference(resolution,[status(thm)],[p8553,c366]) ).
cnf(p8566,plain,
( ~ spl60
| ~ spl3
| def84
| def65 ),
inference(resolution,[status(thm)],[p8559,c360]) ).
cnf(p8571,plain,
( ~ spl60
| ~ spl3
| def83
| def65 ),
inference(resolution,[status(thm)],[p8566,c355]) ).
cnf(p8578,plain,
( ~ spl60
| ~ spl3
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p8571,c351]) ).
cnf(ssp273,plain,
( spl245
| spl214
| spl41
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8578,sdef41,sdef214,sdef245]) ).
cnf(p8568,plain,
( ~ spl89
| ~ spl3
| def82
| def65 ),
inference(resolution,[status(thm)],[p8562,c354]) ).
cnf(c349,plain,
( def81
| ~ def82 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p8574,plain,
( ~ spl89
| ~ spl3
| def81
| def65 ),
inference(resolution,[status(thm)],[p8568,c349]) ).
cnf(c345,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| ~ def81 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p8582,plain,
( ~ spl89
| ~ spl3
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p8574,c345]) ).
cnf(ssp274,plain,
( spl245
| spl131
| spl40
| ~ spl89
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8582,sdef40,sdef131,sdef245]) ).
cnf(p8570,plain,
( ~ spl60
| ~ spl3
| def82
| def65 ),
inference(resolution,[status(thm)],[p8566,c354]) ).
cnf(p8577,plain,
( ~ spl60
| ~ spl3
| def81
| def65 ),
inference(resolution,[status(thm)],[p8570,c349]) ).
cnf(p8585,plain,
( ~ spl60
| ~ spl3
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p8577,c345]) ).
cnf(ssp275,plain,
( spl245
| spl131
| spl40
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8585,sdef40,sdef131,sdef245]) ).
cnf(p8573,plain,
( ~ spl89
| ~ spl3
| def80
| def65 ),
inference(resolution,[status(thm)],[p8568,c348]) ).
cnf(p8580,plain,
( ~ spl89
| ~ spl3
| def78
| def65 ),
inference(resolution,[status(thm)],[p8573,c342]) ).
cnf(p8588,plain,
( ~ spl89
| ~ spl3
| def76
| def65 ),
inference(resolution,[status(thm)],[p8580,c336]) ).
cnf(c331,plain,
( def75
| ~ def76 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p8594,plain,
( ~ spl89
| ~ spl3
| def75
| def65 ),
inference(resolution,[status(thm)],[p8588,c331]) ).
cnf(c327,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ def75 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p8599,plain,
( ~ spl89
| ~ spl3
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p8594,c327]) ).
cnf(ssp276,plain,
( spl245
| spl193
| spl25
| ~ spl89
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8599,sdef25,sdef193,sdef245]) ).
cnf(p8576,plain,
( ~ spl60
| ~ spl3
| def80
| def65 ),
inference(resolution,[status(thm)],[p8570,c348]) ).
cnf(p8583,plain,
( ~ spl60
| ~ spl3
| def78
| def65 ),
inference(resolution,[status(thm)],[p8576,c342]) ).
cnf(p8590,plain,
( ~ spl60
| ~ spl3
| def76
| def65 ),
inference(resolution,[status(thm)],[p8583,c336]) ).
cnf(p8596,plain,
( ~ spl60
| ~ spl3
| def75
| def65 ),
inference(resolution,[status(thm)],[p8590,c331]) ).
cnf(p8602,plain,
( ~ spl60
| ~ spl3
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p8596,c327]) ).
cnf(ssp277,plain,
( spl245
| spl193
| spl25
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8602,sdef25,sdef193,sdef245]) ).
cnf(c67,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1767,plain,
( ~ spl44
| op(e0,e3) != e0 ),
inference(superposition,[status(thm)],[p56,c67]) ).
cnf(p8760,plain,
( ~ spl44
| ~ spl3
| def97 ),
inference(resolution,[status(thm)],[p1767,p7074]) ).
cnf(p8761,plain,
( ~ spl44
| ~ spl3
| def96
| def65 ),
inference(resolution,[status(thm)],[p8760,c393]) ).
cnf(p8763,plain,
( ~ spl44
| ~ spl3
| def94
| def65 ),
inference(resolution,[status(thm)],[p8761,c390]) ).
cnf(p8765,plain,
( ~ spl44
| ~ spl3
| def92
| def65 ),
inference(resolution,[status(thm)],[p8763,c384]) ).
cnf(p8769,plain,
( ~ spl44
| ~ spl3
| def91
| def65 ),
inference(resolution,[status(thm)],[p8765,c379]) ).
cnf(p8772,plain,
( ~ spl44
| ~ spl3
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p8769,c375]) ).
cnf(ssp278,plain,
( spl245
| spl235
| spl57
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8772,sdef57,sdef235,sdef245]) ).
cnf(p8768,plain,
( ~ spl44
| ~ spl3
| def90
| def65 ),
inference(resolution,[status(thm)],[p8765,c378]) ).
cnf(p8771,plain,
( ~ spl44
| ~ spl3
| def89
| def65 ),
inference(resolution,[status(thm)],[p8768,c373]) ).
cnf(p8776,plain,
( ~ spl44
| ~ spl3
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p8771,c369]) ).
cnf(ssp279,plain,
( spl245
| spl154
| spl56
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8776,sdef56,sdef154,sdef245]) ).
cnf(p8770,plain,
( ~ spl44
| ~ spl3
| def88
| def65 ),
inference(resolution,[status(thm)],[p8768,c372]) ).
cnf(p8773,plain,
( ~ spl44
| ~ spl3
| def86
| def65 ),
inference(resolution,[status(thm)],[p8770,c366]) ).
cnf(p8777,plain,
( ~ spl44
| ~ spl3
| def84
| def65 ),
inference(resolution,[status(thm)],[p8773,c360]) ).
cnf(p8779,plain,
( ~ spl44
| ~ spl3
| def83
| def65 ),
inference(resolution,[status(thm)],[p8777,c355]) ).
cnf(p8783,plain,
( ~ spl44
| ~ spl3
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p8779,c351]) ).
cnf(ssp280,plain,
( spl245
| spl214
| spl41
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8783,sdef41,sdef214,sdef245]) ).
cnf(p8778,plain,
( ~ spl44
| ~ spl3
| def82
| def65 ),
inference(resolution,[status(thm)],[p8777,c354]) ).
cnf(p8782,plain,
( ~ spl44
| ~ spl3
| def81
| def65 ),
inference(resolution,[status(thm)],[p8778,c349]) ).
cnf(p8786,plain,
( ~ spl44
| ~ spl3
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p8782,c345]) ).
cnf(ssp281,plain,
( spl245
| spl131
| spl40
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p8786,sdef40,sdef131,sdef245]) ).
cnf(c424,plain,
( def107
| op(e1,e1) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c78,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4268,plain,
( op(e1,e0) != e3
| def107 ),
inference(superposition,[status(thm)],[c424,c78]) ).
cnf(p9127,plain,
( ~ spl19
| def107 ),
inference(resolution,[status(thm)],[p24,p4268]) ).
cnf(c423,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ def107 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p9131,plain,
( ~ spl19
| op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(resolution,[status(thm)],[p9127,c423]) ).
cnf(ssp282,plain,
( spl199
| spl29
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p9131,sdef29,sdef199]) ).
cnf(p4451,plain,
( op(e1,e0) != e3
| def113 ),
inference(superposition,[status(thm)],[c442,c51]) ).
cnf(p9129,plain,
( ~ spl19
| def113 ),
inference(resolution,[status(thm)],[p24,p4451]) ).
cnf(p9134,plain,
( ~ spl19
| op(e2,e3) = e0
| op(e2,e0) != e3 ),
inference(resolution,[status(thm)],[p9129,c441]) ).
cnf(ssp283,plain,
( spl137
| spl44
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p9134,sdef44,sdef137]) ).
cnf(p4672,plain,
( op(e1,e0) != e3
| def121 ),
inference(superposition,[status(thm)],[c466,c52]) ).
cnf(p9130,plain,
( ~ spl19
| def121 ),
inference(resolution,[status(thm)],[p24,p4672]) ).
cnf(p9135,plain,
( ~ spl19
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(resolution,[status(thm)],[p9130,c465]) ).
cnf(ssp284,plain,
( spl160
| spl60
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p9135,sdef60,sdef160]) ).
cnf(p9306,plain,
( ~ spl239
| ~ spl55
| def89
| def65 ),
inference(resolution,[status(thm)],[p9304,c373]) ).
cnf(p9309,plain,
( ~ spl239
| ~ spl55
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p9306,c369]) ).
cnf(ssp285,plain,
( spl245
| spl154
| spl56
| ~ spl239
| ~ spl55 ),
inference(avatar_split_clause,[status(thm)],[p9309,sdef56,sdef154,sdef245]) ).
cnf(p9313,plain,
( ~ spl239
| ~ spl55
| def83
| def65 ),
inference(resolution,[status(thm)],[p9310,c355]) ).
cnf(p9316,plain,
( ~ spl239
| ~ spl55
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p9313,c351]) ).
cnf(ssp286,plain,
( spl245
| spl214
| spl41
| ~ spl239
| ~ spl55 ),
inference(avatar_split_clause,[status(thm)],[p9316,sdef41,sdef214,sdef245]) ).
cnf(p9315,plain,
( ~ spl239
| ~ spl55
| def81
| def65 ),
inference(resolution,[status(thm)],[p9312,c349]) ).
cnf(p9319,plain,
( ~ spl239
| ~ spl55
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p9315,c345]) ).
cnf(ssp287,plain,
( spl245
| spl131
| spl40
| ~ spl239
| ~ spl55 ),
inference(avatar_split_clause,[status(thm)],[p9319,sdef40,sdef131,sdef245]) ).
cnf(c453,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| ~ def117 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c457,plain,
( def117
| ~ def118 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4077,plain,
( def117
| def97 ),
inference(resolution,[status(thm)],[p4074,c457]) ).
cnf(p4496,plain,
( def97
| op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(resolution,[status(thm)],[c453,p4077]) ).
cnf(p8703,plain,
( ~ spl43
| def97
| op(e2,e3) = e2 ),
inference(resolution,[status(thm)],[p54,p4496]) ).
cnf(c71,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1827,plain,
( ~ spl62
| op(e2,e3) != e2 ),
inference(superposition,[status(thm)],[p78,c71]) ).
cnf(p9461,plain,
( ~ spl62
| ~ spl43
| def97 ),
inference(resolution,[status(thm)],[p8703,p1827]) ).
cnf(p9462,plain,
( ~ spl62
| ~ spl43
| def96
| def65 ),
inference(resolution,[status(thm)],[p9461,c393]) ).
cnf(p9464,plain,
( ~ spl62
| ~ spl43
| def94
| def65 ),
inference(resolution,[status(thm)],[p9462,c390]) ).
cnf(p9466,plain,
( ~ spl62
| ~ spl43
| def92
| def65 ),
inference(resolution,[status(thm)],[p9464,c384]) ).
cnf(p9468,plain,
( ~ spl62
| ~ spl43
| def90
| def65 ),
inference(resolution,[status(thm)],[p9466,c378]) ).
cnf(p9469,plain,
( ~ spl62
| ~ spl43
| def88
| def65 ),
inference(resolution,[status(thm)],[p9468,c372]) ).
cnf(p9470,plain,
( ~ spl62
| ~ spl43
| def86
| def65 ),
inference(resolution,[status(thm)],[p9469,c366]) ).
cnf(p9471,plain,
( ~ spl62
| ~ spl43
| def84
| def65 ),
inference(resolution,[status(thm)],[p9470,c360]) ).
cnf(p9472,plain,
( ~ spl62
| ~ spl43
| def82
| def65 ),
inference(resolution,[status(thm)],[p9471,c354]) ).
cnf(p9474,plain,
( ~ spl62
| ~ spl43
| def80
| def65 ),
inference(resolution,[status(thm)],[p9472,c348]) ).
cnf(p9477,plain,
( ~ spl62
| ~ spl43
| def78
| def65 ),
inference(resolution,[status(thm)],[p9474,c342]) ).
cnf(p9479,plain,
( ~ spl62
| ~ spl43
| def76
| def65 ),
inference(resolution,[status(thm)],[p9477,c336]) ).
cnf(p9481,plain,
( ~ spl62
| ~ spl43
| def75
| def65 ),
inference(resolution,[status(thm)],[p9479,c331]) ).
cnf(p9484,plain,
( ~ spl62
| ~ spl43
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p9481,c327]) ).
cnf(ssp288,plain,
( spl245
| spl193
| spl25
| ~ spl62
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p9484,sdef25,sdef193,sdef245]) ).
cnf(p9897,plain,
( ~ spl112
| ~ spl19
| def97 ),
inference(resolution,[status(thm)],[p9126,p263]) ).
cnf(p9908,plain,
( ~ spl112
| ~ spl19
| def96
| def65 ),
inference(resolution,[status(thm)],[p9897,c393]) ).
cnf(p9923,plain,
( ~ spl112
| ~ spl19
| def94
| def65 ),
inference(resolution,[status(thm)],[p9908,c390]) ).
cnf(p9933,plain,
( ~ spl112
| ~ spl19
| def92
| def65 ),
inference(resolution,[status(thm)],[p9923,c384]) ).
cnf(p9949,plain,
( ~ spl112
| ~ spl19
| def91
| def65 ),
inference(resolution,[status(thm)],[p9933,c379]) ).
cnf(p9960,plain,
( ~ spl112
| ~ spl19
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p9949,c375]) ).
cnf(ssp289,plain,
( spl245
| spl235
| spl57
| ~ spl112
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p9960,sdef57,sdef235,sdef245]) ).
cnf(p9948,plain,
( ~ spl112
| ~ spl19
| def90
| def65 ),
inference(resolution,[status(thm)],[p9933,c378]) ).
cnf(p9959,plain,
( ~ spl112
| ~ spl19
| def89
| def65 ),
inference(resolution,[status(thm)],[p9948,c373]) ).
cnf(p9987,plain,
( ~ spl112
| ~ spl19
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p9959,c369]) ).
cnf(ssp290,plain,
( spl245
| spl154
| spl56
| ~ spl112
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p9987,sdef56,sdef154,sdef245]) ).
cnf(p9958,plain,
( ~ spl112
| ~ spl19
| def88
| def65 ),
inference(resolution,[status(thm)],[p9948,c372]) ).
cnf(p9985,plain,
( ~ spl112
| ~ spl19
| def86
| def65 ),
inference(resolution,[status(thm)],[p9958,c366]) ).
cnf(p10004,plain,
( ~ spl112
| ~ spl19
| def84
| def65 ),
inference(resolution,[status(thm)],[p9985,c360]) ).
cnf(p10034,plain,
( ~ spl112
| ~ spl19
| def83
| def65 ),
inference(resolution,[status(thm)],[p10004,c355]) ).
cnf(p10101,plain,
( ~ spl112
| ~ spl19
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p10034,c351]) ).
cnf(ssp291,plain,
( spl245
| spl214
| spl41
| ~ spl112
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p10101,sdef41,sdef214,sdef245]) ).
cnf(p11779,plain,
( ~ spl19
| ~ spl1
| e2 != e2
| def89 ),
inference(superposition,[status(thm)],[c370,p11264]) ).
cnf(p12331,plain,
( ~ spl19
| ~ spl1
| def89 ),
inference(equality_resolution,[status(thm)],[p11779]) ).
cnf(p12333,plain,
( ~ spl19
| ~ spl1
| op(e3,e2) = e0
| op(e3,e0) != e2 ),
inference(resolution,[status(thm)],[p12331,c369]) ).
cnf(ssp292,plain,
( spl154
| spl56
| ~ spl19
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p12333,sdef56,sdef154]) ).
cnf(p13606,plain,
( ~ spl239
| ~ spl55
| def75
| def65 ),
inference(resolution,[status(thm)],[p13600,c331]) ).
cnf(p13612,plain,
( ~ spl239
| ~ spl55
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p13606,c327]) ).
cnf(ssp293,plain,
( spl245
| spl193
| spl25
| ~ spl239
| ~ spl55 ),
inference(avatar_split_clause,[status(thm)],[p13612,sdef25,sdef193,sdef245]) ).
cnf(c66,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1762,plain,
( ~ spl28
| op(e0,e3) != e0 ),
inference(superposition,[status(thm)],[p36,c66]) ).
cnf(p13585,plain,
( ~ spl28
| ~ spl3
| def97 ),
inference(resolution,[status(thm)],[p7074,p1762]) ).
cnf(p13586,plain,
( ~ spl28
| ~ spl3
| def96
| def65 ),
inference(resolution,[status(thm)],[p13585,c393]) ).
cnf(p13603,plain,
( ~ spl28
| ~ spl3
| def94
| def65 ),
inference(resolution,[status(thm)],[p13586,c390]) ).
cnf(p13608,plain,
( ~ spl28
| ~ spl3
| def92
| def65 ),
inference(resolution,[status(thm)],[p13603,c384]) ).
cnf(p13615,plain,
( ~ spl28
| ~ spl3
| def91
| def65 ),
inference(resolution,[status(thm)],[p13608,c379]) ).
cnf(p13620,plain,
( ~ spl28
| ~ spl3
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p13615,c375]) ).
cnf(ssp294,plain,
( spl245
| spl235
| spl57
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p13620,sdef57,sdef235,sdef245]) ).
cnf(p13617,plain,
( ~ spl55
| ~ spl13
| def89
| def65 ),
inference(resolution,[status(thm)],[p13613,c373]) ).
cnf(p13623,plain,
( ~ spl55
| ~ spl13
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p13617,c369]) ).
cnf(ssp295,plain,
( spl245
| spl154
| spl56
| ~ spl55
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p13623,sdef56,sdef154,sdef245]) ).
cnf(p13614,plain,
( ~ spl28
| ~ spl3
| def90
| def65 ),
inference(resolution,[status(thm)],[p13608,c378]) ).
cnf(p13619,plain,
( ~ spl28
| ~ spl3
| def89
| def65 ),
inference(resolution,[status(thm)],[p13614,c373]) ).
cnf(p13626,plain,
( ~ spl28
| ~ spl3
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p13619,c369]) ).
cnf(ssp296,plain,
( spl245
| spl154
| spl56
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p13626,sdef56,sdef154,sdef245]) ).
cnf(p13632,plain,
( ~ spl55
| ~ spl13
| def83
| def65 ),
inference(resolution,[status(thm)],[p13627,c355]) ).
cnf(p13637,plain,
( ~ spl55
| ~ spl13
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p13632,c351]) ).
cnf(ssp297,plain,
( spl245
| spl214
| spl41
| ~ spl55
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p13637,sdef41,sdef214,sdef245]) ).
cnf(p13618,plain,
( ~ spl28
| ~ spl3
| def88
| def65 ),
inference(resolution,[status(thm)],[p13614,c372]) ).
cnf(p13624,plain,
( ~ spl28
| ~ spl3
| def86
| def65 ),
inference(resolution,[status(thm)],[p13618,c366]) ).
cnf(p13629,plain,
( ~ spl28
| ~ spl3
| def84
| def65 ),
inference(resolution,[status(thm)],[p13624,c360]) ).
cnf(p13634,plain,
( ~ spl28
| ~ spl3
| def83
| def65 ),
inference(resolution,[status(thm)],[p13629,c355]) ).
cnf(p13640,plain,
( ~ spl28
| ~ spl3
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p13634,c351]) ).
cnf(ssp298,plain,
( spl245
| spl214
| spl41
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p13640,sdef41,sdef214,sdef245]) ).
cnf(p13636,plain,
( ~ spl55
| ~ spl13
| def81
| def65 ),
inference(resolution,[status(thm)],[p13631,c349]) ).
cnf(p13663,plain,
( ~ spl55
| ~ spl13
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p13636,c345]) ).
cnf(ssp299,plain,
( spl245
| spl131
| spl40
| ~ spl55
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p13663,sdef40,sdef131,sdef245]) ).
cnf(p13633,plain,
( ~ spl28
| ~ spl3
| def82
| def65 ),
inference(resolution,[status(thm)],[p13629,c354]) ).
cnf(p13639,plain,
( ~ spl28
| ~ spl3
| def81
| def65 ),
inference(resolution,[status(thm)],[p13633,c349]) ).
cnf(p13665,plain,
( ~ spl28
| ~ spl3
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p13639,c345]) ).
cnf(ssp300,plain,
( spl245
| spl131
| spl40
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p13665,sdef40,sdef131,sdef245]) ).
cnf(p13674,plain,
( ~ spl55
| ~ spl13
| def75
| def65 ),
inference(resolution,[status(thm)],[p13666,c331]) ).
cnf(p13681,plain,
( ~ spl55
| ~ spl13
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p13674,c327]) ).
cnf(ssp301,plain,
( spl245
| spl193
| spl25
| ~ spl55
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p13681,sdef25,sdef193,sdef245]) ).
cnf(c90,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4108,plain,
( op(e3,e0) != e2
| def91 ),
inference(superposition,[status(thm)],[c376,c90]) ).
cnf(p13795,plain,
( ~ spl50
| def91 ),
inference(resolution,[status(thm)],[p63,p4108]) ).
cnf(p13832,plain,
( ~ spl50
| op(e3,e2) = e1
| op(e3,e1) != e2 ),
inference(resolution,[status(thm)],[p13795,c375]) ).
cnf(ssp302,plain,
( spl235
| spl57
| ~ spl50 ),
inference(avatar_split_clause,[status(thm)],[p13832,sdef57,sdef235]) ).
cnf(c322,plain,
( def73
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p3894,plain,
( op(e0,e0) != e2
| def73 ),
inference(superposition,[status(thm)],[c322,c48]) ).
cnf(p13958,plain,
( ~ spl2
| def73 ),
inference(resolution,[status(thm)],[p3,p3894]) ).
cnf(c321,plain,
( op(e1,e2) = e0
| op(e1,e0) != e2
| ~ def73 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13963,plain,
( ~ spl2
| op(e1,e2) = e0
| op(e1,e0) != e2 ),
inference(resolution,[status(thm)],[p13958,c321]) ).
cnf(ssp303,plain,
( spl108
| spl24
| ~ spl2 ),
inference(avatar_split_clause,[status(thm)],[p13963,sdef24,sdef108]) ).
cnf(c346,plain,
( def81
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4021,plain,
( op(e0,e0) != e2
| def81 ),
inference(superposition,[status(thm)],[c346,c49]) ).
cnf(p13959,plain,
( ~ spl2
| def81 ),
inference(resolution,[status(thm)],[p3,p4021]) ).
cnf(p13964,plain,
( ~ spl2
| op(e2,e2) = e0
| op(e2,e0) != e2 ),
inference(resolution,[status(thm)],[p13959,c345]) ).
cnf(ssp304,plain,
( spl131
| spl40
| ~ spl2 ),
inference(avatar_split_clause,[status(thm)],[p13964,sdef40,sdef131]) ).
cnf(p4084,plain,
( op(e0,e0) != e2
| def89 ),
inference(superposition,[status(thm)],[c370,c50]) ).
cnf(p13960,plain,
( ~ spl2
| def89 ),
inference(resolution,[status(thm)],[p3,p4084]) ).
cnf(p13965,plain,
( ~ spl2
| op(e3,e2) = e0
| op(e3,e0) != e2 ),
inference(resolution,[status(thm)],[p13960,c369]) ).
cnf(ssp305,plain,
( spl154
| spl56
| ~ spl2 ),
inference(avatar_split_clause,[status(thm)],[p13965,sdef56,sdef154]) ).
cnf(p13980,plain,
( ~ spl24
| ~ spl19
| def91
| def65 ),
inference(resolution,[status(thm)],[p13977,c379]) ).
cnf(p13983,plain,
( ~ spl24
| ~ spl19
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p13980,c375]) ).
cnf(ssp306,plain,
( spl245
| spl235
| spl57
| ~ spl24
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p13983,sdef57,sdef235,sdef245]) ).
cnf(p13982,plain,
( ~ spl24
| ~ spl19
| def89
| def65 ),
inference(resolution,[status(thm)],[p13979,c373]) ).
cnf(p13986,plain,
( ~ spl24
| ~ spl19
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p13982,c369]) ).
cnf(ssp307,plain,
( spl245
| spl154
| spl56
| ~ spl24
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p13986,sdef56,sdef154,sdef245]) ).
cnf(p13990,plain,
( ~ spl24
| ~ spl19
| def83
| def65 ),
inference(resolution,[status(thm)],[p13987,c355]) ).
cnf(p13993,plain,
( ~ spl24
| ~ spl19
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p13990,c351]) ).
cnf(ssp308,plain,
( spl245
| spl214
| spl41
| ~ spl24
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p13993,sdef41,sdef214,sdef245]) ).
cnf(p13992,plain,
( ~ spl24
| ~ spl19
| def81
| def65 ),
inference(resolution,[status(thm)],[p13989,c349]) ).
cnf(p13996,plain,
( ~ spl24
| ~ spl19
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p13992,c345]) ).
cnf(ssp309,plain,
( spl245
| spl131
| spl40
| ~ spl24
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p13996,sdef40,sdef131,sdef245]) ).
cnf(c70,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9279,plain,
( ~ spl55
| op(e1,e3) != e1
| def97 ),
inference(superposition,[status(thm)],[p8261,c70]) ).
cnf(p14099,plain,
( ~ spl55
| ~ spl29
| def97 ),
inference(resolution,[status(thm)],[p37,p9279]) ).
cnf(p14102,plain,
( ~ spl55
| ~ spl29
| def96
| def65 ),
inference(resolution,[status(thm)],[p14099,c393]) ).
cnf(p14182,plain,
( ~ spl55
| ~ spl29
| def94
| def65 ),
inference(resolution,[status(thm)],[p14102,c390]) ).
cnf(p14287,plain,
( ~ spl55
| ~ spl29
| def92
| def65 ),
inference(resolution,[status(thm)],[p14182,c384]) ).
cnf(p14379,plain,
( ~ spl55
| ~ spl29
| def90
| def65 ),
inference(resolution,[status(thm)],[p14287,c378]) ).
cnf(p14413,plain,
( ~ spl55
| ~ spl29
| def89
| def65 ),
inference(resolution,[status(thm)],[p14379,c373]) ).
cnf(p14425,plain,
( ~ spl55
| ~ spl29
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p14413,c369]) ).
cnf(ssp310,plain,
( spl245
| spl154
| spl56
| ~ spl55
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14425,sdef56,sdef154,sdef245]) ).
cnf(c448,plain,
( def115
| op(e2,e1) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4479,plain,
( op(e2,e0) != e3
| def115 ),
inference(superposition,[status(thm)],[c448,c84]) ).
cnf(p14442,plain,
( ~ spl35
| def115 ),
inference(resolution,[status(thm)],[p44,p4479]) ).
cnf(c447,plain,
( op(e2,e3) = e1
| op(e2,e1) != e3
| ~ def115 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p14451,plain,
( ~ spl35
| op(e2,e3) = e1
| op(e2,e1) != e3 ),
inference(resolution,[status(thm)],[p14442,c447]) ).
cnf(ssp311,plain,
( spl220
| spl45
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p14451,sdef45,sdef220]) ).
cnf(p4673,plain,
( op(e2,e0) != e3
| def121 ),
inference(superposition,[status(thm)],[c466,c53]) ).
cnf(p14444,plain,
( ~ spl35
| def121 ),
inference(resolution,[status(thm)],[p44,p4673]) ).
cnf(p14453,plain,
( ~ spl35
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(resolution,[status(thm)],[p14444,c465]) ).
cnf(ssp312,plain,
( spl160
| spl60
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p14453,sdef60,sdef160]) ).
cnf(p14412,plain,
( ~ spl55
| ~ spl29
| def88
| def65 ),
inference(resolution,[status(thm)],[p14379,c372]) ).
cnf(p14423,plain,
( ~ spl55
| ~ spl29
| def86
| def65 ),
inference(resolution,[status(thm)],[p14412,c366]) ).
cnf(p14494,plain,
( ~ spl55
| ~ spl29
| def84
| def65 ),
inference(resolution,[status(thm)],[p14423,c360]) ).
cnf(p14515,plain,
( ~ spl55
| ~ spl29
| def83
| def65 ),
inference(resolution,[status(thm)],[p14494,c355]) ).
cnf(p14533,plain,
( ~ spl55
| ~ spl29
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p14515,c351]) ).
cnf(ssp313,plain,
( spl245
| spl214
| spl41
| ~ spl55
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14533,sdef41,sdef214,sdef245]) ).
cnf(p14514,plain,
( ~ spl55
| ~ spl29
| def82
| def65 ),
inference(resolution,[status(thm)],[p14494,c354]) ).
cnf(p14532,plain,
( ~ spl55
| ~ spl29
| def81
| def65 ),
inference(resolution,[status(thm)],[p14514,c349]) ).
cnf(p14539,plain,
( ~ spl55
| ~ spl29
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p14532,c345]) ).
cnf(ssp314,plain,
( spl245
| spl131
| spl40
| ~ spl55
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14539,sdef40,sdef131,sdef245]) ).
cnf(c429,plain,
( op(e1,e3) = e2
| op(e1,e2) != e3
| ~ def109 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c433,plain,
( def109
| ~ def110 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4096,plain,
( def109
| def97 ),
inference(resolution,[status(thm)],[p4092,c433]) ).
cnf(p4281,plain,
( def97
| op(e1,e3) = e2
| op(e1,e2) != e3 ),
inference(resolution,[status(thm)],[c429,p4096]) ).
cnf(p7575,plain,
( ~ spl27
| def97
| op(e1,e3) = e2 ),
inference(resolution,[status(thm)],[p4281,p34]) ).
cnf(c69,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1811,plain,
( ~ spl46
| op(e1,e3) != e2 ),
inference(superposition,[status(thm)],[p58,c69]) ).
cnf(p14450,plain,
( ~ spl46
| ~ spl27
| def97 ),
inference(resolution,[status(thm)],[p7575,p1811]) ).
cnf(p14454,plain,
( ~ spl46
| ~ spl27
| def96
| def65 ),
inference(resolution,[status(thm)],[p14450,c393]) ).
cnf(p14496,plain,
( ~ spl46
| ~ spl27
| def94
| def65 ),
inference(resolution,[status(thm)],[p14454,c390]) ).
cnf(p14516,plain,
( ~ spl46
| ~ spl27
| def92
| def65 ),
inference(resolution,[status(thm)],[p14496,c384]) ).
cnf(p14535,plain,
( ~ spl46
| ~ spl27
| def91
| def65 ),
inference(resolution,[status(thm)],[p14516,c379]) ).
cnf(p14542,plain,
( ~ spl46
| ~ spl27
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p14535,c375]) ).
cnf(ssp315,plain,
( spl245
| spl235
| spl57
| ~ spl46
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p14542,sdef57,sdef235,sdef245]) ).
cnf(p14534,plain,
( ~ spl46
| ~ spl27
| def90
| def65 ),
inference(resolution,[status(thm)],[p14516,c378]) ).
cnf(p14541,plain,
( ~ spl46
| ~ spl27
| def89
| def65 ),
inference(resolution,[status(thm)],[p14534,c373]) ).
cnf(p14547,plain,
( ~ spl46
| ~ spl27
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p14541,c369]) ).
cnf(ssp316,plain,
( spl245
| spl154
| spl56
| ~ spl46
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p14547,sdef56,sdef154,sdef245]) ).
cnf(p13649,plain,
( ~ spl27
| op(e1,e1) != e2
| def97 ),
inference(superposition,[status(thm)],[p7575,c82]) ).
cnf(p14502,plain,
( ~ spl27
| ~ spl22
| def97 ),
inference(resolution,[status(thm)],[p13649,p28]) ).
cnf(p14504,plain,
( ~ spl27
| ~ spl22
| def96
| def65 ),
inference(resolution,[status(thm)],[p14502,c393]) ).
cnf(p14523,plain,
( ~ spl27
| ~ spl22
| def94
| def65 ),
inference(resolution,[status(thm)],[p14504,c390]) ).
cnf(p14536,plain,
( ~ spl27
| ~ spl22
| def92
| def65 ),
inference(resolution,[status(thm)],[p14523,c384]) ).
cnf(p14543,plain,
( ~ spl27
| ~ spl22
| def90
| def65 ),
inference(resolution,[status(thm)],[p14536,c378]) ).
cnf(p14549,plain,
( ~ spl27
| ~ spl22
| def89
| def65 ),
inference(resolution,[status(thm)],[p14543,c373]) ).
cnf(p14570,plain,
( ~ spl27
| ~ spl22
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p14549,c369]) ).
cnf(ssp317,plain,
( spl245
| spl154
| spl56
| ~ spl27
| ~ spl22 ),
inference(avatar_split_clause,[status(thm)],[p14570,sdef56,sdef154,sdef245]) ).
cnf(p14531,plain,
( ~ spl55
| ~ spl29
| def80
| def65 ),
inference(resolution,[status(thm)],[p14514,c348]) ).
cnf(p14538,plain,
( ~ spl55
| ~ spl29
| def78
| def65 ),
inference(resolution,[status(thm)],[p14531,c342]) ).
cnf(p14544,plain,
( ~ spl55
| ~ spl29
| def76
| def65 ),
inference(resolution,[status(thm)],[p14538,c336]) ).
cnf(p14551,plain,
( ~ spl55
| ~ spl29
| def75
| def65 ),
inference(resolution,[status(thm)],[p14544,c331]) ).
cnf(p14573,plain,
( ~ spl55
| ~ spl29
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p14551,c327]) ).
cnf(ssp318,plain,
( spl245
| spl193
| spl25
| ~ spl55
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14573,sdef25,sdef193,sdef245]) ).
cnf(c325,plain,
( def73
| ~ def74 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13611,plain,
( ~ spl239
| ~ spl55
| def73
| def65 ),
inference(resolution,[status(thm)],[p13605,c325]) ).
cnf(p14607,plain,
( ~ spl239
| ~ spl55
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p13611,c321]) ).
cnf(ssp319,plain,
( spl245
| spl108
| spl24
| ~ spl239
| ~ spl55 ),
inference(avatar_split_clause,[status(thm)],[p14607,sdef24,sdef108,sdef245]) ).
cnf(p13680,plain,
( ~ spl55
| ~ spl13
| def73
| def65 ),
inference(resolution,[status(thm)],[p13673,c325]) ).
cnf(p14615,plain,
( ~ spl55
| ~ spl13
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p13680,c321]) ).
cnf(ssp320,plain,
( spl245
| spl108
| spl24
| ~ spl55
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p14615,sdef24,sdef108,sdef245]) ).
cnf(p14540,plain,
( ~ spl46
| ~ spl27
| def88
| def65 ),
inference(resolution,[status(thm)],[p14534,c372]) ).
cnf(c367,plain,
( def87
| ~ def88 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p14546,plain,
( ~ spl46
| ~ spl27
| def87
| def65 ),
inference(resolution,[status(thm)],[p14540,c367]) ).
cnf(c363,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| ~ def87 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p14555,plain,
( ~ spl46
| ~ spl27
| op(e2,e2) = e3
| e2 != e2
| def65 ),
inference(resolution,[status(thm)],[p14546,c363]) ).
cnf(p15180,plain,
( ~ spl46
| ~ spl27
| op(e2,e2) = e3
| def65 ),
inference(equality_resolution,[status(thm)],[p14555]) ).
cnf(ssp321,plain,
( spl245
| spl43
| ~ spl46
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p15180,sdef43,sdef245]) ).
cnf(p4477,plain,
( op(e1,e1) != e3
| def115 ),
inference(superposition,[status(thm)],[c448,c57]) ).
cnf(p15401,plain,
( ~ spl23
| def115 ),
inference(resolution,[status(thm)],[p29,p4477]) ).
cnf(p15410,plain,
( ~ spl23
| op(e2,e3) = e1
| op(e2,e1) != e3 ),
inference(resolution,[status(thm)],[p15401,c447]) ).
cnf(ssp322,plain,
( spl220
| spl45
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p15410,sdef45,sdef220]) ).
cnf(c472,plain,
( def123
| op(e3,e1) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4696,plain,
( op(e1,e1) != e3
| def123 ),
inference(superposition,[status(thm)],[c472,c58]) ).
cnf(p15402,plain,
( ~ spl23
| def123 ),
inference(resolution,[status(thm)],[p29,p4696]) ).
cnf(p15411,plain,
( ~ spl23
| op(e3,e3) = e1
| op(e3,e1) != e3 ),
inference(resolution,[status(thm)],[p15402,c471]) ).
cnf(ssp323,plain,
( spl241
| spl61
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p15411,sdef61,sdef241]) ).
cnf(p4698,plain,
( op(e3,e0) != e3
| def123 ),
inference(superposition,[status(thm)],[c472,c90]) ).
cnf(p15462,plain,
( ~ spl51
| def123 ),
inference(resolution,[status(thm)],[p64,p4698]) ).
cnf(p15471,plain,
( ~ spl51
| op(e3,e3) = e1
| op(e3,e1) != e3 ),
inference(resolution,[status(thm)],[p15462,c471]) ).
cnf(ssp324,plain,
( spl241
| spl61
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p15471,sdef61,sdef241]) ).
cnf(p9447,plain,
( ~ spl44
| ~ spl43
| def97
| e0 = e2 ),
inference(superposition,[status(thm)],[p56,p8703]) ).
cnf(p15859,plain,
( ~ spl44
| ~ spl43
| def97 ),
inference(resolution,[status(thm)],[p9447,c97]) ).
cnf(p15860,plain,
( ~ spl44
| ~ spl43
| def96
| def65 ),
inference(resolution,[status(thm)],[p15859,c393]) ).
cnf(p15892,plain,
( ~ spl44
| ~ spl43
| def94
| def65 ),
inference(resolution,[status(thm)],[p15860,c390]) ).
cnf(p15956,plain,
( ~ spl44
| ~ spl43
| def92
| def65 ),
inference(resolution,[status(thm)],[p15892,c384]) ).
cnf(p15979,plain,
( ~ spl44
| ~ spl43
| def91
| def65 ),
inference(resolution,[status(thm)],[p15956,c379]) ).
cnf(p15998,plain,
( ~ spl44
| ~ spl43
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p15979,c375]) ).
cnf(ssp325,plain,
( spl245
| spl235
| spl57
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p15998,sdef57,sdef235,sdef245]) ).
cnf(c328,plain,
( def75
| op(e1,e1) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p3906,plain,
( op(e1,e0) != e2
| def75 ),
inference(superposition,[status(thm)],[c328,c78]) ).
cnf(p17927,plain,
( ~ spl18
| def75 ),
inference(resolution,[status(thm)],[p23,p3906]) ).
cnf(p17935,plain,
( ~ spl18
| op(e1,e2) = e1
| op(e1,e1) != e2 ),
inference(resolution,[status(thm)],[p17927,c327]) ).
cnf(ssp326,plain,
( spl193
| spl25
| ~ spl18 ),
inference(avatar_split_clause,[status(thm)],[p17935,sdef25,sdef193]) ).
cnf(p4022,plain,
( op(e1,e0) != e2
| def81 ),
inference(superposition,[status(thm)],[c346,c51]) ).
cnf(p17929,plain,
( ~ spl18
| def81 ),
inference(resolution,[status(thm)],[p23,p4022]) ).
cnf(p17940,plain,
( ~ spl18
| op(e2,e2) = e0
| op(e2,e0) != e2 ),
inference(resolution,[status(thm)],[p17929,c345]) ).
cnf(ssp327,plain,
( spl131
| spl40
| ~ spl18 ),
inference(avatar_split_clause,[status(thm)],[p17940,sdef40,sdef131]) ).
cnf(p4085,plain,
( op(e1,e0) != e2
| def89 ),
inference(superposition,[status(thm)],[c370,c52]) ).
cnf(p17930,plain,
( ~ spl18
| def89 ),
inference(resolution,[status(thm)],[p23,p4085]) ).
cnf(p17941,plain,
( ~ spl18
| op(e3,e2) = e0
| op(e3,e0) != e2 ),
inference(resolution,[status(thm)],[p17930,c369]) ).
cnf(ssp328,plain,
( spl154
| spl56
| ~ spl18 ),
inference(avatar_split_clause,[status(thm)],[p17941,sdef56,sdef154]) ).
cnf(p19781,plain,
( ~ spl18
| ~ spl1
| e3 != e3
| def113 ),
inference(superposition,[status(thm)],[c442,p18827]) ).
cnf(p20548,plain,
( ~ spl18
| ~ spl1
| def113 ),
inference(equality_resolution,[status(thm)],[p19781]) ).
cnf(p20549,plain,
( ~ spl18
| ~ spl1
| op(e2,e3) = e0
| op(e2,e0) != e3 ),
inference(resolution,[status(thm)],[p20548,c441]) ).
cnf(ssp329,plain,
( spl137
| spl44
| ~ spl18
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p20549,sdef44,sdef137]) ).
cnf(c427,plain,
( def107
| ~ def108 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4098,plain,
( def107
| def97 ),
inference(resolution,[status(thm)],[p4095,c427]) ).
cnf(p4262,plain,
( def97
| op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(resolution,[status(thm)],[c423,p4098]) ).
cnf(p15399,plain,
( ~ spl23
| def97
| op(e1,e3) = e1 ),
inference(resolution,[status(thm)],[p29,p4262]) ).
cnf(p16627,plain,
( ~ spl23
| op(e1,e2) != e1
| def97 ),
inference(superposition,[status(thm)],[p15399,c83]) ).
cnf(p21341,plain,
( ~ spl25
| ~ spl23
| def97 ),
inference(resolution,[status(thm)],[p32,p16627]) ).
cnf(p21344,plain,
( ~ spl25
| ~ spl23
| def96
| def65 ),
inference(resolution,[status(thm)],[p21341,c393]) ).
cnf(p21345,plain,
( ~ spl25
| ~ spl23
| def94
| def65 ),
inference(resolution,[status(thm)],[p21344,c390]) ).
cnf(p21347,plain,
( ~ spl25
| ~ spl23
| def92
| def65 ),
inference(resolution,[status(thm)],[p21345,c384]) ).
cnf(p21351,plain,
( ~ spl25
| ~ spl23
| def91
| def65 ),
inference(resolution,[status(thm)],[p21347,c379]) ).
cnf(p21354,plain,
( ~ spl25
| ~ spl23
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p21351,c375]) ).
cnf(ssp330,plain,
( spl245
| spl235
| spl57
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p21354,sdef57,sdef235,sdef245]) ).
cnf(c80,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p16625,plain,
( ~ spl23
| op(e1,e0) != e1
| def97 ),
inference(superposition,[status(thm)],[p15399,c80]) ).
cnf(p17666,plain,
( ~ spl23
| ~ spl17
| def97 ),
inference(resolution,[status(thm)],[p16625,p22]) ).
cnf(p17697,plain,
( ~ spl23
| ~ spl17
| def96
| def65 ),
inference(resolution,[status(thm)],[p17666,c393]) ).
cnf(p21390,plain,
( ~ spl23
| ~ spl17
| def94
| def65 ),
inference(resolution,[status(thm)],[p17697,c390]) ).
cnf(p21440,plain,
( ~ spl23
| ~ spl17
| def92
| def65 ),
inference(resolution,[status(thm)],[p21390,c384]) ).
cnf(p21493,plain,
( ~ spl23
| ~ spl17
| def91
| def65 ),
inference(resolution,[status(thm)],[p21440,c379]) ).
cnf(p21521,plain,
( ~ spl23
| ~ spl17
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p21493,c375]) ).
cnf(ssp331,plain,
( spl245
| spl235
| spl57
| ~ spl23
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p21521,sdef57,sdef235,sdef245]) ).
cnf(p15079,plain,
( ~ spl135
| ~ spl35
| def97 ),
inference(resolution,[status(thm)],[p14441,p310]) ).
cnf(p15095,plain,
( ~ spl135
| ~ spl35
| def96
| def65 ),
inference(resolution,[status(thm)],[p15079,c393]) ).
cnf(p15135,plain,
( ~ spl135
| ~ spl35
| def94
| def65 ),
inference(resolution,[status(thm)],[p15095,c390]) ).
cnf(p21725,plain,
( ~ spl135
| ~ spl35
| def92
| def65 ),
inference(resolution,[status(thm)],[p15135,c384]) ).
cnf(p21836,plain,
( ~ spl135
| ~ spl35
| def91
| def65 ),
inference(resolution,[status(thm)],[p21725,c379]) ).
cnf(p21971,plain,
( ~ spl135
| ~ spl35
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p21836,c375]) ).
cnf(ssp332,plain,
( spl245
| spl235
| spl57
| ~ spl135
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p21971,sdef57,sdef235,sdef245]) ).
cnf(p22121,plain,
( ~ spl40
| ~ spl35
| def91
| def65 ),
inference(resolution,[status(thm)],[p22062,c379]) ).
cnf(p22153,plain,
( ~ spl40
| ~ spl35
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p22121,c375]) ).
cnf(ssp333,plain,
( spl245
| spl235
| spl57
| ~ spl40
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p22153,sdef57,sdef235,sdef245]) ).
cnf(c59,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4697,plain,
( op(e2,e1) != e3
| def123 ),
inference(superposition,[status(thm)],[c472,c59]) ).
cnf(p22246,plain,
( ~ spl39
| def123 ),
inference(resolution,[status(thm)],[p49,p4697]) ).
cnf(p22452,plain,
( ~ spl39
| op(e3,e3) = e1
| op(e3,e1) != e3 ),
inference(resolution,[status(thm)],[p22246,c471]) ).
cnf(ssp334,plain,
( spl241
| spl61
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p22452,sdef61,sdef241]) ).
cnf(c391,plain,
( def95
| ~ def96 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p14524,plain,
( ~ spl27
| ~ spl22
| def95
| def65 ),
inference(resolution,[status(thm)],[p14504,c391]) ).
cnf(c387,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| ~ def95 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p14537,plain,
( ~ spl27
| ~ spl22
| op(e3,e2) = e3
| op(e3,e3) != e2
| def65 ),
inference(resolution,[status(thm)],[p14524,c387]) ).
cnf(p22509,plain,
( ~ spl62
| ~ spl27
| ~ spl22
| op(e3,e2) = e3
| def65 ),
inference(resolution,[status(thm)],[p78,p14537]) ).
cnf(ssp335,plain,
( spl245
| spl59
| ~ spl62
| ~ spl27
| ~ spl22 ),
inference(avatar_split_clause,[status(thm)],[p22509,sdef59,sdef245]) ).
cnf(p27886,plain,
( ~ spl11
| ~ spl2
| def91
| def65 ),
inference(resolution,[status(thm)],[p27825,c379]) ).
cnf(p27896,plain,
( ~ spl11
| ~ spl2
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p27886,c375]) ).
cnf(ssp336,plain,
( spl245
| spl235
| spl57
| ~ spl11
| ~ spl2 ),
inference(avatar_split_clause,[status(thm)],[p27896,sdef57,sdef235,sdef245]) ).
cnf(c451,plain,
( def115
| ~ def116 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4079,plain,
( def115
| def97 ),
inference(resolution,[status(thm)],[p4076,c451]) ).
cnf(p4468,plain,
( def97
| op(e2,e3) = e1
| op(e2,e1) != e3 ),
inference(resolution,[status(thm)],[c447,p4079]) ).
cnf(p22244,plain,
( ~ spl39
| def97
| op(e2,e3) = e1 ),
inference(resolution,[status(thm)],[p49,p4468]) ).
cnf(p23457,plain,
( ~ spl218
| ~ spl39
| def97 ),
inference(resolution,[status(thm)],[p22244,p486]) ).
cnf(p23476,plain,
( ~ spl218
| ~ spl39
| def96
| def65 ),
inference(resolution,[status(thm)],[p23457,c393]) ).
cnf(p27829,plain,
( ~ spl218
| ~ spl39
| def94
| def65 ),
inference(resolution,[status(thm)],[p23476,c390]) ).
cnf(p27887,plain,
( ~ spl218
| ~ spl39
| def92
| def65 ),
inference(resolution,[status(thm)],[p27829,c384]) ).
cnf(p27898,plain,
( ~ spl218
| ~ spl39
| def91
| def65 ),
inference(resolution,[status(thm)],[p27887,c379]) ).
cnf(p27903,plain,
( ~ spl218
| ~ spl39
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p27898,c375]) ).
cnf(ssp337,plain,
( spl245
| spl235
| spl57
| ~ spl218
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p27903,sdef57,sdef235,sdef245]) ).
cnf(p27897,plain,
( ~ spl218
| ~ spl39
| def90
| def65 ),
inference(resolution,[status(thm)],[p27887,c378]) ).
cnf(p27902,plain,
( ~ spl218
| ~ spl39
| def89
| def65 ),
inference(resolution,[status(thm)],[p27897,c373]) ).
cnf(p27908,plain,
( ~ spl218
| ~ spl39
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p27902,c369]) ).
cnf(ssp338,plain,
( spl245
| spl154
| spl56
| ~ spl218
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p27908,sdef56,sdef154,sdef245]) ).
cnf(p27910,plain,
( ~ spl11
| ~ spl2
| def83
| def65 ),
inference(resolution,[status(thm)],[p27904,c355]) ).
cnf(p27915,plain,
( ~ spl11
| ~ spl2
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p27910,c351]) ).
cnf(ssp339,plain,
( spl245
| spl214
| spl41
| ~ spl11
| ~ spl2 ),
inference(avatar_split_clause,[status(thm)],[p27915,sdef41,sdef214,sdef245]) ).
cnf(p27901,plain,
( ~ spl218
| ~ spl39
| def88
| def65 ),
inference(resolution,[status(thm)],[p27897,c372]) ).
cnf(p27905,plain,
( ~ spl218
| ~ spl39
| def86
| def65 ),
inference(resolution,[status(thm)],[p27901,c366]) ).
cnf(p27911,plain,
( ~ spl218
| ~ spl39
| def84
| def65 ),
inference(resolution,[status(thm)],[p27905,c360]) ).
cnf(p27916,plain,
( ~ spl218
| ~ spl39
| def82
| def65 ),
inference(resolution,[status(thm)],[p27911,c354]) ).
cnf(p27921,plain,
( ~ spl218
| ~ spl39
| def81
| def65 ),
inference(resolution,[status(thm)],[p27916,c349]) ).
cnf(p27927,plain,
( ~ spl218
| ~ spl39
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p27921,c345]) ).
cnf(ssp340,plain,
( spl245
| spl131
| spl40
| ~ spl218
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p27927,sdef40,sdef131,sdef245]) ).
cnf(p27929,plain,
( ~ spl11
| ~ spl2
| def75
| def65 ),
inference(resolution,[status(thm)],[p27922,c331]) ).
cnf(p27934,plain,
( ~ spl11
| ~ spl2
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p27929,c327]) ).
cnf(ssp341,plain,
( spl245
| spl193
| spl25
| ~ spl11
| ~ spl2 ),
inference(avatar_split_clause,[status(thm)],[p27934,sdef25,sdef193,sdef245]) ).
cnf(p27920,plain,
( ~ spl218
| ~ spl39
| def80
| def65 ),
inference(resolution,[status(thm)],[p27916,c348]) ).
cnf(p27924,plain,
( ~ spl218
| ~ spl39
| def78
| def65 ),
inference(resolution,[status(thm)],[p27920,c342]) ).
cnf(p27930,plain,
( ~ spl218
| ~ spl39
| def76
| def65 ),
inference(resolution,[status(thm)],[p27924,c336]) ).
cnf(p27936,plain,
( ~ spl218
| ~ spl39
| def75
| def65 ),
inference(resolution,[status(thm)],[p27930,c331]) ).
cnf(p27942,plain,
( ~ spl218
| ~ spl39
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p27936,c327]) ).
cnf(ssp342,plain,
( spl245
| spl193
| spl25
| ~ spl218
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p27942,sdef25,sdef193,sdef245]) ).
cnf(p4107,plain,
( op(e2,e1) != e2
| def91 ),
inference(superposition,[status(thm)],[c376,c59]) ).
cnf(p22225,plain,
( ~ spl38
| def91 ),
inference(resolution,[status(thm)],[p48,p4107]) ).
cnf(p32938,plain,
( ~ spl38
| op(e3,e2) = e1
| op(e3,e1) != e2 ),
inference(resolution,[status(thm)],[p22225,c375]) ).
cnf(ssp343,plain,
( spl235
| spl57
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p32938,sdef57,sdef235]) ).
cnf(p9480,plain,
( ~ spl62
| ~ spl43
| def74
| def65 ),
inference(resolution,[status(thm)],[p9479,c330]) ).
cnf(p9483,plain,
( ~ spl62
| ~ spl43
| def73
| def65 ),
inference(resolution,[status(thm)],[p9480,c325]) ).
cnf(p33015,plain,
( ~ spl62
| ~ spl43
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p9483,c321]) ).
cnf(ssp344,plain,
( spl245
| spl108
| spl24
| ~ spl62
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p33015,sdef24,sdef108,sdef245]) ).
cnf(p15978,plain,
( ~ spl44
| ~ spl43
| def90
| def65 ),
inference(resolution,[status(thm)],[p15956,c378]) ).
cnf(p15997,plain,
( ~ spl44
| ~ spl43
| def89
| def65 ),
inference(resolution,[status(thm)],[p15978,c373]) ).
cnf(p33019,plain,
( ~ spl44
| ~ spl43
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p15997,c369]) ).
cnf(ssp345,plain,
( spl245
| spl154
| spl56
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p33019,sdef56,sdef154,sdef245]) ).
cnf(c469,plain,
( def121
| ~ def122 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4073,plain,
( def121
| def97 ),
inference(resolution,[status(thm)],[p4070,c469]) ).
cnf(p4668,plain,
( def97
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(resolution,[status(thm)],[c465,p4073]) ).
cnf(p15461,plain,
( ~ spl51
| def97
| op(e3,e3) = e0 ),
inference(resolution,[status(thm)],[p64,p4668]) ).
cnf(c388,plain,
( def95
| op(e3,e3) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p17023,plain,
( ~ spl51
| def95
| e0 = e2
| def97 ),
inference(superposition,[status(thm)],[p15461,c388]) ).
cnf(p19336,plain,
( ~ spl51
| def95
| def97 ),
inference(resolution,[status(thm)],[p17023,c97]) ).
cnf(p19750,plain,
( ~ spl51
| def96
| def65
| def95 ),
inference(resolution,[status(thm)],[p19336,c393]) ).
cnf(p20517,plain,
( ~ spl51
| def95
| def65
| def95 ),
inference(resolution,[status(thm)],[p19750,c391]) ).
cnf(p21273,plain,
( ~ spl51
| def65
| def95 ),
inference(factoring,[status(thm)],[p20517]) ).
cnf(p21313,plain,
( ~ spl51
| op(e3,e2) = e3
| op(e3,e3) != e2
| def65 ),
inference(resolution,[status(thm)],[p21273,c387]) ).
cnf(p33020,plain,
( ~ spl62
| ~ spl51
| op(e3,e2) = e3
| def65 ),
inference(resolution,[status(thm)],[p21313,p78]) ).
cnf(ssp346,plain,
( spl245
| spl59
| ~ spl62
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p33020,sdef59,sdef245]) ).
cnf(p33021,plain,
( ~ spl51
| ~ spl18
| ~ spl17
| op(e3,e1) = e3
| op(e3,e3) != e1
| def65 ),
inference(superposition,[status(thm)],[p866,p21313]) ).
cnf(ssp347,plain,
( spl245
| spl239
| spl55
| ~ spl51
| ~ spl18
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p33021,sdef55,sdef239,sdef245]) ).
cnf(p33022,plain,
( ~ spl51
| ~ spl19
| ~ spl17
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(superposition,[status(thm)],[p872,p21313]) ).
cnf(ssp348,plain,
( spl245
| spl193
| spl25
| ~ spl51
| ~ spl19
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p33022,sdef25,sdef193,sdef245]) ).
cnf(c340,plain,
( def79
| op(e1,e3) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p16629,plain,
( ~ spl23
| def79
| e1 = e2
| def97 ),
inference(superposition,[status(thm)],[p15399,c340]) ).
cnf(p17680,plain,
( ~ spl23
| def79
| def97 ),
inference(resolution,[status(thm)],[p16629,c99]) ).
cnf(p18179,plain,
( ~ spl23
| def96
| def65
| def79 ),
inference(resolution,[status(thm)],[p17680,c393]) ).
cnf(p19534,plain,
( ~ spl23
| def94
| def65
| def79 ),
inference(resolution,[status(thm)],[p18179,c390]) ).
cnf(p20368,plain,
( ~ spl23
| def92
| def65
| def79 ),
inference(resolution,[status(thm)],[p19534,c384]) ).
cnf(p21100,plain,
( ~ spl23
| def90
| def65
| def79 ),
inference(resolution,[status(thm)],[p20368,c378]) ).
cnf(p21331,plain,
( ~ spl23
| def88
| def65
| def79 ),
inference(resolution,[status(thm)],[p21100,c372]) ).
cnf(p21523,plain,
( ~ spl23
| def86
| def65
| def79 ),
inference(resolution,[status(thm)],[p21331,c366]) ).
cnf(p33217,plain,
( ~ spl23
| def84
| def65
| def79 ),
inference(resolution,[status(thm)],[p21523,c360]) ).
cnf(p34803,plain,
( ~ spl23
| def82
| def65
| def79 ),
inference(resolution,[status(thm)],[p33217,c354]) ).
cnf(p35813,plain,
( ~ spl23
| def80
| def65
| def79 ),
inference(resolution,[status(thm)],[p34803,c348]) ).
cnf(c343,plain,
( def79
| ~ def80 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p36777,plain,
( ~ spl23
| def79
| def65
| def79 ),
inference(resolution,[status(thm)],[p35813,c343]) ).
cnf(p37499,plain,
( ~ spl23
| def65
| def79 ),
inference(factoring,[status(thm)],[p36777]) ).
cnf(c339,plain,
( op(e1,e2) = e3
| op(e1,e3) != e2
| ~ def79 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p37500,plain,
( ~ spl23
| op(e1,e2) = e3
| op(e1,e3) != e2
| def65 ),
inference(resolution,[status(thm)],[p37499,c339]) ).
cnf(p37763,plain,
( ~ spl30
| ~ spl23
| op(e1,e2) = e3
| def65 ),
inference(resolution,[status(thm)],[p37500,p38]) ).
cnf(ssp349,plain,
( spl245
| spl27
| ~ spl30
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p37763,sdef27,sdef245]) ).
cnf(c430,plain,
( def109
| op(e1,e2) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4288,plain,
( op(e1,e0) != e3
| def109 ),
inference(superposition,[status(thm)],[c430,c79]) ).
cnf(p9128,plain,
( ~ spl19
| def109 ),
inference(resolution,[status(thm)],[p24,p4288]) ).
cnf(p9133,plain,
( ~ spl19
| op(e1,e3) = e2
| op(e1,e2) != e3 ),
inference(resolution,[status(thm)],[p9128,c429]) ).
cnf(p38742,plain,
( ~ spl19
| ~ spl17
| op(e1,e1) = e2
| op(e1,e2) != e1 ),
inference(superposition,[status(thm)],[p872,p9133]) ).
cnf(ssp350,plain,
( spl191
| spl22
| ~ spl19
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p38742,sdef22,sdef191]) ).
cnf(c316,plain,
( def71
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p3847,plain,
( op(e0,e0) != e2
| def71 ),
inference(superposition,[status(thm)],[c316,c74]) ).
cnf(p13957,plain,
( ~ spl2
| def71 ),
inference(resolution,[status(thm)],[p3,p3847]) ).
cnf(c315,plain,
( op(e0,e2) = e3
| op(e0,e3) != e2
| ~ def71 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p13962,plain,
( ~ spl2
| op(e0,e2) = e3
| op(e0,e3) != e2 ),
inference(resolution,[status(thm)],[p13957,c315]) ).
cnf(p38754,plain,
( ~ spl19
| ~ spl17
| ~ spl2
| op(e0,e2) = e1
| op(e0,e1) != e2 ),
inference(superposition,[status(thm)],[p872,p13962]) ).
cnf(ssp351,plain,
( spl173
| spl9
| ~ spl19
| ~ spl17
| ~ spl2 ),
inference(avatar_split_clause,[status(thm)],[p38754,sdef9,sdef173]) ).
cnf(p4265,plain,
( op(e0,e1) != e3
| def107 ),
inference(superposition,[status(thm)],[c424,c54]) ).
cnf(p39148,plain,
( ~ spl7
| def107 ),
inference(resolution,[status(thm)],[p9,p4265]) ).
cnf(p39157,plain,
( ~ spl7
| op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(resolution,[status(thm)],[p39148,c423]) ).
cnf(ssp352,plain,
( spl199
| spl29
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p39157,sdef29,sdef199]) ).
cnf(p4476,plain,
( op(e0,e1) != e3
| def115 ),
inference(superposition,[status(thm)],[c448,c55]) ).
cnf(p39149,plain,
( ~ spl7
| def115 ),
inference(resolution,[status(thm)],[p9,p4476]) ).
cnf(p39163,plain,
( ~ spl7
| op(e2,e3) = e1
| op(e2,e1) != e3 ),
inference(resolution,[status(thm)],[p39149,c447]) ).
cnf(ssp353,plain,
( spl220
| spl45
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p39163,sdef45,sdef220]) ).
cnf(c56,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4695,plain,
( op(e0,e1) != e3
| def123 ),
inference(superposition,[status(thm)],[c472,c56]) ).
cnf(p39150,plain,
( ~ spl7
| def123 ),
inference(resolution,[status(thm)],[p9,p4695]) ).
cnf(p39164,plain,
( ~ spl7
| op(e3,e3) = e1
| op(e3,e1) != e3 ),
inference(resolution,[status(thm)],[p39150,c471]) ).
cnf(ssp354,plain,
( spl241
| spl61
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p39164,sdef61,sdef241]) ).
cnf(p41196,plain,
( ~ spl20
| ~ spl7
| e2 != e2
| def91 ),
inference(superposition,[status(thm)],[c376,p40763]) ).
cnf(p41604,plain,
( ~ spl20
| ~ spl7
| def91 ),
inference(equality_resolution,[status(thm)],[p41196]) ).
cnf(p41691,plain,
( ~ spl20
| ~ spl7
| op(e3,e2) = e1
| op(e3,e1) != e2 ),
inference(resolution,[status(thm)],[p41604,c375]) ).
cnf(ssp355,plain,
( spl235
| spl57
| ~ spl20
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p41691,sdef57,sdef235]) ).
cnf(c478,plain,
( def125
| op(e3,e2) = e3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(c65,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4850,plain,
( op(e2,e2) != e3
| def125 ),
inference(superposition,[status(thm)],[c478,c65]) ).
cnf(p8704,plain,
( ~ spl43
| def125 ),
inference(resolution,[status(thm)],[p54,p4850]) ).
cnf(c477,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| ~ def125 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p8705,plain,
( ~ spl43
| op(e3,e3) = e2
| op(e3,e2) != e3 ),
inference(resolution,[status(thm)],[p8704,c477]) ).
cnf(p44610,plain,
( ~ spl43
| ~ spl38
| ~ spl36
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(superposition,[status(thm)],[p956,p8705]) ).
cnf(ssp356,plain,
( spl160
| spl60
| ~ spl43
| ~ spl38
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p44610,sdef60,sdef160]) ).
cnf(p21835,plain,
( ~ spl135
| ~ spl35
| def90
| def65 ),
inference(resolution,[status(thm)],[p21725,c378]) ).
cnf(p21970,plain,
( ~ spl135
| ~ spl35
| def89
| def65 ),
inference(resolution,[status(thm)],[p21835,c373]) ).
cnf(p44750,plain,
( ~ spl135
| ~ spl35
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p21970,c369]) ).
cnf(ssp357,plain,
( spl245
| spl154
| spl56
| ~ spl135
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p44750,sdef56,sdef154,sdef245]) ).
cnf(p1825,plain,
( ~ spl60
| op(e2,e3) != e0 ),
inference(superposition,[status(thm)],[p76,c71]) ).
cnf(p10718,plain,
( ~ spl1
| e2 != op(e1,e0)
| e3 != op(e2,e0)
| def73 ),
inference(superposition,[status(thm)],[c322,p9532]) ).
cnf(p11281,plain,
( ~ spl1
| e2 != op(e1,e0)
| e3 != e3
| def73
| def113 ),
inference(superposition,[status(thm)],[c442,p10718]) ).
cnf(p11810,plain,
( ~ spl1
| e2 != op(e1,e0)
| def73
| def113 ),
inference(equality_resolution,[status(thm)],[p11281]) ).
cnf(p12362,plain,
( ~ spl1
| e2 != e2
| def73
| def113
| def73 ),
inference(superposition,[status(thm)],[c322,p11810]) ).
cnf(p12997,plain,
( ~ spl1
| e2 != e2
| def113
| def73 ),
inference(factoring,[status(thm)],[p12362]) ).
cnf(p16049,plain,
( ~ spl1
| def113
| def73 ),
inference(equality_resolution,[status(thm)],[p12997]) ).
cnf(p16133,plain,
( ~ spl1
| op(e2,e3) = e0
| op(e2,e0) != e3
| def73 ),
inference(resolution,[status(thm)],[p16049,c441]) ).
cnf(p17643,plain,
( ~ spl35
| ~ spl1
| op(e2,e3) = e0
| def73 ),
inference(resolution,[status(thm)],[p16133,p44]) ).
cnf(p44876,plain,
( ~ spl60
| ~ spl35
| ~ spl1
| def73 ),
inference(resolution,[status(thm)],[p1825,p17643]) ).
cnf(p44878,plain,
( ~ spl60
| ~ spl35
| ~ spl1
| op(e1,e2) = e0
| op(e1,e0) != e2 ),
inference(resolution,[status(thm)],[p44876,c321]) ).
cnf(ssp358,plain,
( spl108
| spl24
| ~ spl60
| ~ spl35
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p44878,sdef24,sdef108]) ).
cnf(p22057,plain,
( ~ spl60
| ~ spl35
| def97 ),
inference(resolution,[status(thm)],[p14441,p1825]) ).
cnf(p22058,plain,
( ~ spl60
| ~ spl35
| def96
| def65 ),
inference(resolution,[status(thm)],[p22057,c393]) ).
cnf(p22119,plain,
( ~ spl60
| ~ spl35
| def94
| def65 ),
inference(resolution,[status(thm)],[p22058,c390]) ).
cnf(p22150,plain,
( ~ spl60
| ~ spl35
| def92
| def65 ),
inference(resolution,[status(thm)],[p22119,c384]) ).
cnf(p44753,plain,
( ~ spl60
| ~ spl35
| def91
| def65 ),
inference(resolution,[status(thm)],[p22150,c379]) ).
cnf(p44902,plain,
( ~ spl60
| ~ spl35
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p44753,c375]) ).
cnf(ssp359,plain,
( spl245
| spl235
| spl57
| ~ spl60
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p44902,sdef57,sdef235,sdef245]) ).
cnf(p44752,plain,
( ~ spl60
| ~ spl35
| def90
| def65 ),
inference(resolution,[status(thm)],[p22150,c378]) ).
cnf(p44901,plain,
( ~ spl60
| ~ spl35
| def89
| def65 ),
inference(resolution,[status(thm)],[p44752,c373]) ).
cnf(p45106,plain,
( ~ spl60
| ~ spl35
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p44901,c369]) ).
cnf(ssp360,plain,
( spl245
| spl154
| spl56
| ~ spl60
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p45106,sdef56,sdef154,sdef245]) ).
cnf(p46303,plain,
( ~ spl20
| ~ spl19
| def91
| def65 ),
inference(resolution,[status(thm)],[p46262,c379]) ).
cnf(p46312,plain,
( ~ spl20
| ~ spl19
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46303,c375]) ).
cnf(ssp361,plain,
( spl245
| spl235
| spl57
| ~ spl20
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p46312,sdef57,sdef235,sdef245]) ).
cnf(p46311,plain,
( ~ spl20
| ~ spl19
| def89
| def65 ),
inference(resolution,[status(thm)],[p46302,c373]) ).
cnf(p46317,plain,
( ~ spl20
| ~ spl19
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46311,c369]) ).
cnf(ssp362,plain,
( spl245
| spl154
| spl56
| ~ spl20
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p46317,sdef56,sdef154,sdef245]) ).
cnf(p1809,plain,
( ~ spl44
| op(e1,e3) != e0 ),
inference(superposition,[status(thm)],[p56,c69]) ).
cnf(p46259,plain,
( ~ spl44
| ~ spl19
| def97 ),
inference(resolution,[status(thm)],[p9126,p1809]) ).
cnf(p46261,plain,
( ~ spl44
| ~ spl19
| def96
| def65 ),
inference(resolution,[status(thm)],[p46259,c393]) ).
cnf(p46300,plain,
( ~ spl44
| ~ spl19
| def94
| def65 ),
inference(resolution,[status(thm)],[p46261,c390]) ).
cnf(p46308,plain,
( ~ spl44
| ~ spl19
| def92
| def65 ),
inference(resolution,[status(thm)],[p46300,c384]) ).
cnf(p46314,plain,
( ~ spl44
| ~ spl19
| def91
| def65 ),
inference(resolution,[status(thm)],[p46308,c379]) ).
cnf(p46320,plain,
( ~ spl44
| ~ spl19
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46314,c375]) ).
cnf(ssp363,plain,
( spl245
| spl235
| spl57
| ~ spl44
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p46320,sdef57,sdef235,sdef245]) ).
cnf(p46313,plain,
( ~ spl44
| ~ spl19
| def90
| def65 ),
inference(resolution,[status(thm)],[p46308,c378]) ).
cnf(p46319,plain,
( ~ spl44
| ~ spl19
| def89
| def65 ),
inference(resolution,[status(thm)],[p46313,c373]) ).
cnf(p46324,plain,
( ~ spl44
| ~ spl19
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46319,c369]) ).
cnf(ssp364,plain,
( spl245
| spl154
| spl56
| ~ spl44
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p46324,sdef56,sdef154,sdef245]) ).
cnf(p46326,plain,
( ~ spl20
| ~ spl19
| def83
| def65 ),
inference(resolution,[status(thm)],[p46321,c355]) ).
cnf(p46330,plain,
( ~ spl20
| ~ spl19
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46326,c351]) ).
cnf(ssp365,plain,
( spl245
| spl214
| spl41
| ~ spl20
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p46330,sdef41,sdef214,sdef245]) ).
cnf(p46329,plain,
( ~ spl20
| ~ spl19
| def81
| def65 ),
inference(resolution,[status(thm)],[p46325,c349]) ).
cnf(p46335,plain,
( ~ spl20
| ~ spl19
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46329,c345]) ).
cnf(ssp366,plain,
( spl245
| spl131
| spl40
| ~ spl20
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p46335,sdef40,sdef131,sdef245]) ).
cnf(c86,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2349,plain,
( ~ spl34
| e2 != op(e2,e3) ),
inference(superposition,[status(thm)],[p43,c86]) ).
cnf(p9455,plain,
( ~ spl43
| ~ spl34
| e2 != e2
| def97 ),
inference(superposition,[status(thm)],[p8703,p2349]) ).
cnf(p15864,plain,
( ~ spl43
| ~ spl34
| def97 ),
inference(equality_resolution,[status(thm)],[p9455]) ).
cnf(p15866,plain,
( ~ spl43
| ~ spl34
| def96
| def65 ),
inference(resolution,[status(thm)],[p15864,c393]) ).
cnf(p15908,plain,
( ~ spl43
| ~ spl34
| def94
| def65 ),
inference(resolution,[status(thm)],[p15866,c390]) ).
cnf(p15964,plain,
( ~ spl43
| ~ spl34
| def92
| def65 ),
inference(resolution,[status(thm)],[p15908,c384]) ).
cnf(p15985,plain,
( ~ spl43
| ~ spl34
| def91
| def65 ),
inference(resolution,[status(thm)],[p15964,c379]) ).
cnf(p46340,plain,
( ~ spl43
| ~ spl34
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p15985,c375]) ).
cnf(ssp367,plain,
( spl245
| spl235
| spl57
| ~ spl43
| ~ spl34 ),
inference(avatar_split_clause,[status(thm)],[p46340,sdef57,sdef235,sdef245]) ).
cnf(p21418,plain,
( ~ spl158
| ~ spl51
| def97 ),
inference(resolution,[status(thm)],[p357,p15461]) ).
cnf(p21419,plain,
( ~ spl158
| ~ spl51
| def96
| def65 ),
inference(resolution,[status(thm)],[p21418,c393]) ).
cnf(p21479,plain,
( ~ spl158
| ~ spl51
| def94
| def65 ),
inference(resolution,[status(thm)],[p21419,c390]) ).
cnf(p21510,plain,
( ~ spl158
| ~ spl51
| def92
| def65 ),
inference(resolution,[status(thm)],[p21479,c384]) ).
cnf(p46570,plain,
( ~ spl158
| ~ spl51
| def91
| def65 ),
inference(resolution,[status(thm)],[p21510,c379]) ).
cnf(p46580,plain,
( ~ spl158
| ~ spl51
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46570,c375]) ).
cnf(ssp368,plain,
( spl245
| spl235
| spl57
| ~ spl158
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p46580,sdef57,sdef235,sdef245]) ).
cnf(p17019,plain,
( ~ spl51
| op(e2,e3) != e0
| def97 ),
inference(superposition,[status(thm)],[p15461,c71]) ).
cnf(p33016,plain,
( ~ spl51
| ~ spl44
| def97 ),
inference(resolution,[status(thm)],[p17019,p56]) ).
cnf(p33017,plain,
( ~ spl51
| ~ spl44
| def96
| def65 ),
inference(resolution,[status(thm)],[p33016,c393]) ).
cnf(p46571,plain,
( ~ spl51
| ~ spl44
| def94
| def65 ),
inference(resolution,[status(thm)],[p33017,c390]) ).
cnf(p46581,plain,
( ~ spl51
| ~ spl44
| def92
| def65 ),
inference(resolution,[status(thm)],[p46571,c384]) ).
cnf(p46591,plain,
( ~ spl51
| ~ spl44
| def91
| def65 ),
inference(resolution,[status(thm)],[p46581,c379]) ).
cnf(p46603,plain,
( ~ spl51
| ~ spl44
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46591,c375]) ).
cnf(ssp369,plain,
( spl245
| spl235
| spl57
| ~ spl51
| ~ spl44 ),
inference(avatar_split_clause,[status(thm)],[p46603,sdef57,sdef235,sdef245]) ).
cnf(c403,plain,
( def99
| ~ def100 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4117,plain,
( def99
| def97 ),
inference(resolution,[status(thm)],[p4114,c403]) ).
cnf(p4170,plain,
( def97
| op(e0,e3) = e1
| op(e0,e1) != e3 ),
inference(resolution,[status(thm)],[c399,p4117]) ).
cnf(p39146,plain,
( ~ spl7
| def97
| op(e0,e3) = e1 ),
inference(resolution,[status(thm)],[p9,p4170]) ).
cnf(p40440,plain,
( ~ spl7
| op(e0,e0) != e1
| def97 ),
inference(superposition,[status(thm)],[p39146,c74]) ).
cnf(p46337,plain,
( ~ spl7
| ~ spl1
| def97 ),
inference(resolution,[status(thm)],[p2,p40440]) ).
cnf(p46338,plain,
( ~ spl7
| ~ spl1
| def96
| def65 ),
inference(resolution,[status(thm)],[p46337,c393]) ).
cnf(p46575,plain,
( ~ spl7
| ~ spl1
| def94
| def65 ),
inference(resolution,[status(thm)],[p46338,c390]) ).
cnf(p46584,plain,
( ~ spl7
| ~ spl1
| def92
| def65 ),
inference(resolution,[status(thm)],[p46575,c384]) ).
cnf(p46596,plain,
( ~ spl7
| ~ spl1
| def91
| def65 ),
inference(resolution,[status(thm)],[p46584,c379]) ).
cnf(p46609,plain,
( ~ spl7
| ~ spl1
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46596,c375]) ).
cnf(ssp370,plain,
( spl245
| spl235
| spl57
| ~ spl7
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p46609,sdef57,sdef235,sdef245]) ).
cnf(p21405,plain,
( ~ spl61
| ~ spl51
| e0 = e1
| def97 ),
inference(superposition,[status(thm)],[p15461,p77]) ).
cnf(p46567,plain,
( ~ spl61
| ~ spl51
| def97 ),
inference(resolution,[status(thm)],[p21405,c96]) ).
cnf(p46568,plain,
( ~ spl61
| ~ spl51
| def96
| def65 ),
inference(resolution,[status(thm)],[p46567,c393]) ).
cnf(p46578,plain,
( ~ spl61
| ~ spl51
| def94
| def65 ),
inference(resolution,[status(thm)],[p46568,c390]) ).
cnf(p46587,plain,
( ~ spl61
| ~ spl51
| def92
| def65 ),
inference(resolution,[status(thm)],[p46578,c384]) ).
cnf(p46599,plain,
( ~ spl61
| ~ spl51
| def91
| def65 ),
inference(resolution,[status(thm)],[p46587,c379]) ).
cnf(p46613,plain,
( ~ spl61
| ~ spl51
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46599,c375]) ).
cnf(ssp371,plain,
( spl245
| spl235
| spl57
| ~ spl61
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p46613,sdef57,sdef235,sdef245]) ).
cnf(p46595,plain,
( ~ spl7
| ~ spl1
| def90
| def65 ),
inference(resolution,[status(thm)],[p46584,c378]) ).
cnf(p46608,plain,
( ~ spl7
| ~ spl1
| def89
| def65 ),
inference(resolution,[status(thm)],[p46595,c373]) ).
cnf(p46621,plain,
( ~ spl7
| ~ spl1
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46608,c369]) ).
cnf(ssp372,plain,
( spl245
| spl154
| spl56
| ~ spl7
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p46621,sdef56,sdef154,sdef245]) ).
cnf(p46569,plain,
( ~ spl158
| ~ spl51
| def90
| def65 ),
inference(resolution,[status(thm)],[p21510,c378]) ).
cnf(p46579,plain,
( ~ spl158
| ~ spl51
| def88
| def65 ),
inference(resolution,[status(thm)],[p46569,c372]) ).
cnf(p46588,plain,
( ~ spl158
| ~ spl51
| def86
| def65 ),
inference(resolution,[status(thm)],[p46579,c366]) ).
cnf(p46600,plain,
( ~ spl158
| ~ spl51
| def84
| def65 ),
inference(resolution,[status(thm)],[p46588,c360]) ).
cnf(p46615,plain,
( ~ spl158
| ~ spl51
| def83
| def65 ),
inference(resolution,[status(thm)],[p46600,c355]) ).
cnf(p46629,plain,
( ~ spl158
| ~ spl51
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46615,c351]) ).
cnf(ssp373,plain,
( spl245
| spl214
| spl41
| ~ spl158
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p46629,sdef41,sdef214,sdef245]) ).
cnf(p46614,plain,
( ~ spl158
| ~ spl51
| def82
| def65 ),
inference(resolution,[status(thm)],[p46600,c354]) ).
cnf(p46628,plain,
( ~ spl158
| ~ spl51
| def81
| def65 ),
inference(resolution,[status(thm)],[p46614,c349]) ).
cnf(p46641,plain,
( ~ spl158
| ~ spl51
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46628,c345]) ).
cnf(ssp374,plain,
( spl245
| spl131
| spl40
| ~ spl158
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p46641,sdef40,sdef131,sdef245]) ).
cnf(p15996,plain,
( ~ spl44
| ~ spl43
| def88
| def65 ),
inference(resolution,[status(thm)],[p15978,c372]) ).
cnf(p33018,plain,
( ~ spl44
| ~ spl43
| def86
| def65 ),
inference(resolution,[status(thm)],[p15996,c366]) ).
cnf(p46574,plain,
( ~ spl44
| ~ spl43
| def84
| def65 ),
inference(resolution,[status(thm)],[p33018,c360]) ).
cnf(p46582,plain,
( ~ spl44
| ~ spl43
| def82
| def65 ),
inference(resolution,[status(thm)],[p46574,c354]) ).
cnf(p46592,plain,
( ~ spl44
| ~ spl43
| def80
| def65 ),
inference(resolution,[status(thm)],[p46582,c348]) ).
cnf(p46604,plain,
( ~ spl44
| ~ spl43
| def78
| def65 ),
inference(resolution,[status(thm)],[p46592,c342]) ).
cnf(p46617,plain,
( ~ spl44
| ~ spl43
| def76
| def65 ),
inference(resolution,[status(thm)],[p46604,c336]) ).
cnf(p46632,plain,
( ~ spl44
| ~ spl43
| def75
| def65 ),
inference(resolution,[status(thm)],[p46617,c331]) ).
cnf(p46646,plain,
( ~ spl44
| ~ spl43
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46632,c327]) ).
cnf(ssp375,plain,
( spl245
| spl193
| spl25
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p46646,sdef25,sdef193,sdef245]) ).
cnf(p46590,plain,
( ~ spl51
| ~ spl44
| def90
| def65 ),
inference(resolution,[status(thm)],[p46581,c378]) ).
cnf(p46602,plain,
( ~ spl51
| ~ spl44
| def88
| def65 ),
inference(resolution,[status(thm)],[p46590,c372]) ).
cnf(p46616,plain,
( ~ spl51
| ~ spl44
| def86
| def65 ),
inference(resolution,[status(thm)],[p46602,c366]) ).
cnf(p46630,plain,
( ~ spl51
| ~ spl44
| def84
| def65 ),
inference(resolution,[status(thm)],[p46616,c360]) ).
cnf(p46643,plain,
( ~ spl51
| ~ spl44
| def83
| def65 ),
inference(resolution,[status(thm)],[p46630,c355]) ).
cnf(p46656,plain,
( ~ spl51
| ~ spl44
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46643,c351]) ).
cnf(ssp376,plain,
( spl245
| spl214
| spl41
| ~ spl51
| ~ spl44 ),
inference(avatar_split_clause,[status(thm)],[p46656,sdef41,sdef214,sdef245]) ).
cnf(p46631,plain,
( ~ spl44
| ~ spl43
| def74
| def65 ),
inference(resolution,[status(thm)],[p46617,c330]) ).
cnf(p46645,plain,
( ~ spl44
| ~ spl43
| def73
| def65 ),
inference(resolution,[status(thm)],[p46631,c325]) ).
cnf(p46659,plain,
( ~ spl44
| ~ spl43
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46645,c321]) ).
cnf(ssp377,plain,
( spl245
| spl108
| spl24
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p46659,sdef24,sdef108,sdef245]) ).
cnf(p46607,plain,
( ~ spl7
| ~ spl1
| def88
| def65 ),
inference(resolution,[status(thm)],[p46595,c372]) ).
cnf(p46619,plain,
( ~ spl7
| ~ spl1
| def86
| def65 ),
inference(resolution,[status(thm)],[p46607,c366]) ).
cnf(p46633,plain,
( ~ spl7
| ~ spl1
| def84
| def65 ),
inference(resolution,[status(thm)],[p46619,c360]) ).
cnf(p46648,plain,
( ~ spl7
| ~ spl1
| def83
| def65 ),
inference(resolution,[status(thm)],[p46633,c355]) ).
cnf(p46662,plain,
( ~ spl7
| ~ spl1
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46648,c351]) ).
cnf(ssp378,plain,
( spl245
| spl214
| spl41
| ~ spl7
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p46662,sdef41,sdef214,sdef245]) ).
cnf(p15984,plain,
( ~ spl43
| ~ spl34
| def90
| def65 ),
inference(resolution,[status(thm)],[p15964,c378]) ).
cnf(p46339,plain,
( ~ spl43
| ~ spl34
| def88
| def65 ),
inference(resolution,[status(thm)],[p15984,c372]) ).
cnf(p46577,plain,
( ~ spl43
| ~ spl34
| def86
| def65 ),
inference(resolution,[status(thm)],[p46339,c366]) ).
cnf(p46586,plain,
( ~ spl43
| ~ spl34
| def84
| def65 ),
inference(resolution,[status(thm)],[p46577,c360]) ).
cnf(p46597,plain,
( ~ spl43
| ~ spl34
| def82
| def65 ),
inference(resolution,[status(thm)],[p46586,c354]) ).
cnf(p46610,plain,
( ~ spl43
| ~ spl34
| def80
| def65 ),
inference(resolution,[status(thm)],[p46597,c348]) ).
cnf(p46622,plain,
( ~ spl43
| ~ spl34
| def78
| def65 ),
inference(resolution,[status(thm)],[p46610,c342]) ).
cnf(p46635,plain,
( ~ spl43
| ~ spl34
| def76
| def65 ),
inference(resolution,[status(thm)],[p46622,c336]) ).
cnf(p46650,plain,
( ~ spl43
| ~ spl34
| def75
| def65 ),
inference(resolution,[status(thm)],[p46635,c331]) ).
cnf(p46664,plain,
( ~ spl43
| ~ spl34
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46650,c327]) ).
cnf(ssp379,plain,
( spl245
| spl193
| spl25
| ~ spl43
| ~ spl34 ),
inference(avatar_split_clause,[status(thm)],[p46664,sdef25,sdef193,sdef245]) ).
cnf(p46598,plain,
( ~ spl61
| ~ spl51
| def90
| def65 ),
inference(resolution,[status(thm)],[p46587,c378]) ).
cnf(p46612,plain,
( ~ spl61
| ~ spl51
| def88
| def65 ),
inference(resolution,[status(thm)],[p46598,c372]) ).
cnf(p46625,plain,
( ~ spl61
| ~ spl51
| def86
| def65 ),
inference(resolution,[status(thm)],[p46612,c366]) ).
cnf(p46637,plain,
( ~ spl61
| ~ spl51
| def84
| def65 ),
inference(resolution,[status(thm)],[p46625,c360]) ).
cnf(p46652,plain,
( ~ spl61
| ~ spl51
| def83
| def65 ),
inference(resolution,[status(thm)],[p46637,c355]) ).
cnf(p46667,plain,
( ~ spl61
| ~ spl51
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p46652,c351]) ).
cnf(ssp380,plain,
( spl245
| spl214
| spl41
| ~ spl61
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p46667,sdef41,sdef214,sdef245]) ).
cnf(p46642,plain,
( ~ spl51
| ~ spl44
| def82
| def65 ),
inference(resolution,[status(thm)],[p46630,c354]) ).
cnf(p46655,plain,
( ~ spl51
| ~ spl44
| def81
| def65 ),
inference(resolution,[status(thm)],[p46642,c349]) ).
cnf(p46670,plain,
( ~ spl51
| ~ spl44
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46655,c345]) ).
cnf(ssp381,plain,
( spl245
| spl131
| spl40
| ~ spl51
| ~ spl44 ),
inference(avatar_split_clause,[status(thm)],[p46670,sdef40,sdef131,sdef245]) ).
cnf(p21350,plain,
( ~ spl25
| ~ spl23
| def90
| def65 ),
inference(resolution,[status(thm)],[p21347,c378]) ).
cnf(p21353,plain,
( ~ spl25
| ~ spl23
| def89
| def65 ),
inference(resolution,[status(thm)],[p21350,c373]) ).
cnf(p49151,plain,
( ~ spl25
| ~ spl23
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p21353,c369]) ).
cnf(ssp382,plain,
( spl245
| spl154
| spl56
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p49151,sdef56,sdef154,sdef245]) ).
cnf(p46651,plain,
( ~ spl61
| ~ spl51
| def82
| def65 ),
inference(resolution,[status(thm)],[p46637,c354]) ).
cnf(p46666,plain,
( ~ spl61
| ~ spl51
| def81
| def65 ),
inference(resolution,[status(thm)],[p46651,c349]) ).
cnf(p49167,plain,
( ~ spl61
| ~ spl51
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46666,c345]) ).
cnf(ssp383,plain,
( spl245
| spl131
| spl40
| ~ spl61
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p49167,sdef40,sdef131,sdef245]) ).
cnf(p17018,plain,
( ~ spl51
| op(e1,e3) != e0
| def97 ),
inference(superposition,[status(thm)],[p15461,c70]) ).
cnf(p21399,plain,
( ~ spl51
| ~ spl28
| def97 ),
inference(resolution,[status(thm)],[p36,p17018]) ).
cnf(p21400,plain,
( ~ spl51
| ~ spl28
| def96
| def65 ),
inference(resolution,[status(thm)],[p21399,c393]) ).
cnf(p21449,plain,
( ~ spl51
| ~ spl28
| def94
| def65 ),
inference(resolution,[status(thm)],[p21400,c390]) ).
cnf(p21496,plain,
( ~ spl51
| ~ spl28
| def92
| def65 ),
inference(resolution,[status(thm)],[p21449,c384]) ).
cnf(p49139,plain,
( ~ spl51
| ~ spl28
| def91
| def65 ),
inference(resolution,[status(thm)],[p21496,c379]) ).
cnf(p49174,plain,
( ~ spl51
| ~ spl28
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p49139,c375]) ).
cnf(ssp384,plain,
( spl245
| spl235
| spl57
| ~ spl51
| ~ spl28 ),
inference(avatar_split_clause,[status(thm)],[p49174,sdef57,sdef235,sdef245]) ).
cnf(p21426,plain,
( ~ spl197
| ~ spl23
| def97 ),
inference(resolution,[status(thm)],[p441,p15399]) ).
cnf(p21431,plain,
( ~ spl197
| ~ spl23
| def96
| def65 ),
inference(resolution,[status(thm)],[p21426,c393]) ).
cnf(p21488,plain,
( ~ spl197
| ~ spl23
| def94
| def65 ),
inference(resolution,[status(thm)],[p21431,c390]) ).
cnf(p21515,plain,
( ~ spl197
| ~ spl23
| def92
| def65 ),
inference(resolution,[status(thm)],[p21488,c384]) ).
cnf(p49153,plain,
( ~ spl197
| ~ spl23
| def91
| def65 ),
inference(resolution,[status(thm)],[p21515,c379]) ).
cnf(p49183,plain,
( ~ spl197
| ~ spl23
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p49153,c375]) ).
cnf(ssp385,plain,
( spl245
| spl235
| spl57
| ~ spl197
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p49183,sdef57,sdef235,sdef245]) ).
cnf(p1818,plain,
( ~ spl61
| op(e1,e3) != e1 ),
inference(superposition,[status(thm)],[p77,c70]) ).
cnf(p21465,plain,
( ~ spl61
| ~ spl23
| def97 ),
inference(resolution,[status(thm)],[p1818,p15399]) ).
cnf(p21466,plain,
( ~ spl61
| ~ spl23
| def96
| def65 ),
inference(resolution,[status(thm)],[p21465,c393]) ).
cnf(p21499,plain,
( ~ spl61
| ~ spl23
| def94
| def65 ),
inference(resolution,[status(thm)],[p21466,c390]) ).
cnf(p49140,plain,
( ~ spl61
| ~ spl23
| def92
| def65 ),
inference(resolution,[status(thm)],[p21499,c384]) ).
cnf(p49176,plain,
( ~ spl61
| ~ spl23
| def91
| def65 ),
inference(resolution,[status(thm)],[p49140,c379]) ).
cnf(p49205,plain,
( ~ spl61
| ~ spl23
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p49176,c375]) ).
cnf(ssp386,plain,
( spl245
| spl235
| spl57
| ~ spl61
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p49205,sdef57,sdef235,sdef245]) ).
cnf(p49152,plain,
( ~ spl197
| ~ spl23
| def90
| def65 ),
inference(resolution,[status(thm)],[p21515,c378]) ).
cnf(p49182,plain,
( ~ spl197
| ~ spl23
| def89
| def65 ),
inference(resolution,[status(thm)],[p49152,c373]) ).
cnf(p49212,plain,
( ~ spl197
| ~ spl23
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p49182,c369]) ).
cnf(ssp387,plain,
( spl245
| spl154
| spl56
| ~ spl197
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p49212,sdef56,sdef154,sdef245]) ).
cnf(p46627,plain,
( ~ spl158
| ~ spl51
| def80
| def65 ),
inference(resolution,[status(thm)],[p46614,c348]) ).
cnf(p46639,plain,
( ~ spl158
| ~ spl51
| def78
| def65 ),
inference(resolution,[status(thm)],[p46627,c342]) ).
cnf(p49163,plain,
( ~ spl158
| ~ spl51
| def76
| def65 ),
inference(resolution,[status(thm)],[p46639,c336]) ).
cnf(p49196,plain,
( ~ spl158
| ~ spl51
| def75
| def65 ),
inference(resolution,[status(thm)],[p49163,c331]) ).
cnf(p49216,plain,
( ~ spl158
| ~ spl51
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p49196,c327]) ).
cnf(ssp388,plain,
( spl245
| spl193
| spl25
| ~ spl158
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p49216,sdef25,sdef193,sdef245]) ).
cnf(p49175,plain,
( ~ spl61
| ~ spl23
| def90
| def65 ),
inference(resolution,[status(thm)],[p49140,c378]) ).
cnf(p49204,plain,
( ~ spl61
| ~ spl23
| def89
| def65 ),
inference(resolution,[status(thm)],[p49175,c373]) ).
cnf(p49223,plain,
( ~ spl61
| ~ spl23
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p49204,c369]) ).
cnf(ssp389,plain,
( spl245
| spl154
| spl56
| ~ spl61
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p49223,sdef56,sdef154,sdef245]) ).
cnf(p21352,plain,
( ~ spl25
| ~ spl23
| def88
| def65 ),
inference(resolution,[status(thm)],[p21350,c372]) ).
cnf(p49149,plain,
( ~ spl25
| ~ spl23
| def86
| def65 ),
inference(resolution,[status(thm)],[p21352,c366]) ).
cnf(p49179,plain,
( ~ spl25
| ~ spl23
| def84
| def65 ),
inference(resolution,[status(thm)],[p49149,c360]) ).
cnf(p49209,plain,
( ~ spl25
| ~ spl23
| def83
| def65 ),
inference(resolution,[status(thm)],[p49179,c355]) ).
cnf(p49228,plain,
( ~ spl25
| ~ spl23
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p49209,c351]) ).
cnf(ssp390,plain,
( spl245
| spl214
| spl41
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p49228,sdef41,sdef214,sdef245]) ).
cnf(p49195,plain,
( ~ spl158
| ~ spl51
| def74
| def65 ),
inference(resolution,[status(thm)],[p49163,c330]) ).
cnf(p49215,plain,
( ~ spl158
| ~ spl51
| def73
| def65 ),
inference(resolution,[status(thm)],[p49195,c325]) ).
cnf(p49234,plain,
( ~ spl158
| ~ spl51
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p49215,c321]) ).
cnf(ssp391,plain,
( spl245
| spl108
| spl24
| ~ spl158
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p49234,sdef24,sdef108,sdef245]) ).
cnf(p46665,plain,
( ~ spl61
| ~ spl51
| def80
| def65 ),
inference(resolution,[status(thm)],[p46651,c348]) ).
cnf(p49165,plain,
( ~ spl61
| ~ spl51
| def78
| def65 ),
inference(resolution,[status(thm)],[p46665,c342]) ).
cnf(p49197,plain,
( ~ spl61
| ~ spl51
| def76
| def65 ),
inference(resolution,[status(thm)],[p49165,c336]) ).
cnf(p49218,plain,
( ~ spl61
| ~ spl51
| def75
| def65 ),
inference(resolution,[status(thm)],[p49197,c331]) ).
cnf(p49237,plain,
( ~ spl61
| ~ spl51
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p49218,c327]) ).
cnf(ssp392,plain,
( spl245
| spl193
| spl25
| ~ spl61
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p49237,sdef25,sdef193,sdef245]) ).
cnf(p21396,plain,
( ~ spl28
| ~ spl23
| def97
| e0 = e1 ),
inference(superposition,[status(thm)],[p36,p15399]) ).
cnf(p49146,plain,
( ~ spl28
| ~ spl23
| def97 ),
inference(resolution,[status(thm)],[p21396,c96]) ).
cnf(p49147,plain,
( ~ spl28
| ~ spl23
| def96
| def65 ),
inference(resolution,[status(thm)],[p49146,c393]) ).
cnf(p49177,plain,
( ~ spl28
| ~ spl23
| def94
| def65 ),
inference(resolution,[status(thm)],[p49147,c390]) ).
cnf(p49206,plain,
( ~ spl28
| ~ spl23
| def92
| def65 ),
inference(resolution,[status(thm)],[p49177,c384]) ).
cnf(p49225,plain,
( ~ spl28
| ~ spl23
| def91
| def65 ),
inference(resolution,[status(thm)],[p49206,c379]) ).
cnf(p49244,plain,
( ~ spl28
| ~ spl23
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p49225,c375]) ).
cnf(ssp393,plain,
( spl245
| spl235
| spl57
| ~ spl28
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p49244,sdef57,sdef235,sdef245]) ).
cnf(p49208,plain,
( ~ spl25
| ~ spl23
| def82
| def65 ),
inference(resolution,[status(thm)],[p49179,c354]) ).
cnf(p49227,plain,
( ~ spl25
| ~ spl23
| def81
| def65 ),
inference(resolution,[status(thm)],[p49208,c349]) ).
cnf(p49246,plain,
( ~ spl25
| ~ spl23
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p49227,c345]) ).
cnf(ssp394,plain,
( spl245
| spl131
| spl40
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p49246,sdef40,sdef131,sdef245]) ).
cnf(p49217,plain,
( ~ spl61
| ~ spl51
| def74
| def65 ),
inference(resolution,[status(thm)],[p49197,c330]) ).
cnf(p49236,plain,
( ~ spl61
| ~ spl51
| def73
| def65 ),
inference(resolution,[status(thm)],[p49217,c325]) ).
cnf(p49251,plain,
( ~ spl61
| ~ spl51
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p49236,c321]) ).
cnf(ssp395,plain,
( spl245
| spl108
| spl24
| ~ spl61
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p49251,sdef24,sdef108,sdef245]) ).
cnf(p48534,plain,
( ~ spl36
| ~ spl22
| e3 != e3
| def99 ),
inference(superposition,[status(thm)],[c400,p47492]) ).
cnf(p50243,plain,
( ~ spl36
| ~ spl22
| def99 ),
inference(equality_resolution,[status(thm)],[p48534]) ).
cnf(p50245,plain,
( ~ spl36
| ~ spl22
| op(e0,e3) = e1
| op(e0,e1) != e3 ),
inference(resolution,[status(thm)],[p50243,c399]) ).
cnf(ssp396,plain,
( spl179
| spl13
| ~ spl36
| ~ spl22 ),
inference(avatar_split_clause,[status(thm)],[p50245,sdef13,sdef179]) ).
cnf(p49069,plain,
( ~ spl33
| ~ spl2
| e3 != e3
| def105 ),
inference(superposition,[status(thm)],[c418,p48336]) ).
cnf(p50256,plain,
( ~ spl33
| ~ spl2
| def105 ),
inference(equality_resolution,[status(thm)],[p49069]) ).
cnf(p50257,plain,
( ~ spl33
| ~ spl2
| op(e1,e3) = e0
| op(e1,e0) != e3 ),
inference(resolution,[status(thm)],[p50256,c417]) ).
cnf(ssp397,plain,
( spl114
| spl28
| ~ spl33
| ~ spl2 ),
inference(avatar_split_clause,[status(thm)],[p50257,sdef28,sdef114]) ).
cnf(p46647,plain,
( ~ spl7
| ~ spl1
| def82
| def65 ),
inference(resolution,[status(thm)],[p46633,c354]) ).
cnf(p46661,plain,
( ~ spl7
| ~ spl1
| def81
| def65 ),
inference(resolution,[status(thm)],[p46647,c349]) ).
cnf(p52529,plain,
( ~ spl7
| ~ spl1
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p46661,c345]) ).
cnf(ssp398,plain,
( spl245
| spl131
| spl40
| ~ spl7
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p52529,sdef40,sdef131,sdef245]) ).
cnf(p46660,plain,
( ~ spl7
| ~ spl1
| def80
| def65 ),
inference(resolution,[status(thm)],[p46647,c348]) ).
cnf(p52527,plain,
( ~ spl7
| ~ spl1
| def78
| def65 ),
inference(resolution,[status(thm)],[p46660,c342]) ).
cnf(p52537,plain,
( ~ spl7
| ~ spl1
| def76
| def65 ),
inference(resolution,[status(thm)],[p52527,c336]) ).
cnf(p52542,plain,
( ~ spl7
| ~ spl1
| def75
| def65 ),
inference(resolution,[status(thm)],[p52537,c331]) ).
cnf(p52547,plain,
( ~ spl7
| ~ spl1
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p52542,c327]) ).
cnf(ssp399,plain,
( spl245
| spl193
| spl25
| ~ spl7
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p52547,sdef25,sdef193,sdef245]) ).
cnf(p1763,plain,
( ~ spl29
| op(e0,e3) != e1 ),
inference(superposition,[status(thm)],[p37,c66]) ).
cnf(p52523,plain,
( ~ spl29
| ~ spl7
| def97 ),
inference(resolution,[status(thm)],[p1763,p39146]) ).
cnf(p52526,plain,
( ~ spl29
| ~ spl7
| def96
| def65 ),
inference(resolution,[status(thm)],[p52523,c393]) ).
cnf(p52535,plain,
( ~ spl29
| ~ spl7
| def94
| def65 ),
inference(resolution,[status(thm)],[p52526,c390]) ).
cnf(p52539,plain,
( ~ spl29
| ~ spl7
| def92
| def65 ),
inference(resolution,[status(thm)],[p52535,c384]) ).
cnf(p52544,plain,
( ~ spl29
| ~ spl7
| def91
| def65 ),
inference(resolution,[status(thm)],[p52539,c379]) ).
cnf(p52550,plain,
( ~ spl29
| ~ spl7
| op(e3,e2) = e1
| op(e3,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p52544,c375]) ).
cnf(ssp400,plain,
( spl245
| spl235
| spl57
| ~ spl29
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p52550,sdef57,sdef235,sdef245]) ).
cnf(p52541,plain,
( ~ spl7
| ~ spl1
| def74
| def65 ),
inference(resolution,[status(thm)],[p52537,c330]) ).
cnf(p52546,plain,
( ~ spl7
| ~ spl1
| def73
| def65 ),
inference(resolution,[status(thm)],[p52541,c325]) ).
cnf(p52553,plain,
( ~ spl7
| ~ spl1
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p52546,c321]) ).
cnf(ssp401,plain,
( spl245
| spl108
| spl24
| ~ spl7
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p52553,sdef24,sdef108,sdef245]) ).
cnf(p8593,plain,
( ~ spl89
| ~ spl3
| def74
| def65 ),
inference(resolution,[status(thm)],[p8588,c330]) ).
cnf(p8598,plain,
( ~ spl89
| ~ spl3
| def73
| def65 ),
inference(resolution,[status(thm)],[p8593,c325]) ).
cnf(p52561,plain,
( ~ spl89
| ~ spl3
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p8598,c321]) ).
cnf(ssp402,plain,
( spl245
| spl108
| spl24
| ~ spl89
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p52561,sdef24,sdef108,sdef245]) ).
cnf(p8595,plain,
( ~ spl60
| ~ spl3
| def74
| def65 ),
inference(resolution,[status(thm)],[p8590,c330]) ).
cnf(p8601,plain,
( ~ spl60
| ~ spl3
| def73
| def65 ),
inference(resolution,[status(thm)],[p8595,c325]) ).
cnf(p52564,plain,
( ~ spl60
| ~ spl3
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p8601,c321]) ).
cnf(ssp403,plain,
( spl245
| spl108
| spl24
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p52564,sdef24,sdef108,sdef245]) ).
cnf(p8557,plain,
( ~ spl89
| ~ spl3
| def87
| def65 ),
inference(resolution,[status(thm)],[p8550,c367]) ).
cnf(p8563,plain,
( ~ spl89
| ~ spl3
| op(e2,e2) = e3
| op(e2,e3) != e2
| def65 ),
inference(resolution,[status(thm)],[p8557,c363]) ).
cnf(p52601,plain,
( ~ spl89
| ~ spl46
| ~ spl3
| op(e2,e2) = e3
| def65 ),
inference(resolution,[status(thm)],[p8563,p58]) ).
cnf(ssp404,plain,
( spl245
| spl43
| ~ spl89
| ~ spl46
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p52601,sdef43,sdef245]) ).
cnf(p3903,plain,
( op(e0,e1) != e2
| def75 ),
inference(superposition,[status(thm)],[c328,c54]) ).
cnf(p52806,plain,
( ~ spl6
| def75 ),
inference(resolution,[status(thm)],[p8,p3903]) ).
cnf(p52814,plain,
( ~ spl6
| op(e1,e2) = e1
| op(e1,e1) != e2 ),
inference(resolution,[status(thm)],[p52806,c327]) ).
cnf(ssp405,plain,
( spl193
| spl25
| ~ spl6 ),
inference(avatar_split_clause,[status(thm)],[p52814,sdef25,sdef193]) ).
cnf(p4033,plain,
( op(e0,e1) != e2
| def83 ),
inference(superposition,[status(thm)],[c352,c55]) ).
cnf(p52807,plain,
( ~ spl6
| def83 ),
inference(resolution,[status(thm)],[p8,p4033]) ).
cnf(p52818,plain,
( ~ spl6
| op(e2,e2) = e1
| op(e2,e1) != e2 ),
inference(resolution,[status(thm)],[p52807,c351]) ).
cnf(ssp406,plain,
( spl214
| spl41
| ~ spl6 ),
inference(avatar_split_clause,[status(thm)],[p52818,sdef41,sdef214]) ).
cnf(p4105,plain,
( op(e0,e1) != e2
| def91 ),
inference(superposition,[status(thm)],[c376,c56]) ).
cnf(p52808,plain,
( ~ spl6
| def91 ),
inference(resolution,[status(thm)],[p8,p4105]) ).
cnf(p52819,plain,
( ~ spl6
| op(e3,e2) = e1
| op(e3,e1) != e2 ),
inference(resolution,[status(thm)],[p52808,c375]) ).
cnf(ssp407,plain,
( spl235
| spl57
| ~ spl6 ),
inference(avatar_split_clause,[status(thm)],[p52819,sdef57,sdef235]) ).
cnf(c481,plain,
( def125
| ~ def126 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p4059,plain,
( def125
| def97 ),
inference(resolution,[status(thm)],[p4056,c481]) ).
cnf(p4845,plain,
( def97
| op(e3,e3) = e2
| op(e3,e2) != e3 ),
inference(resolution,[status(thm)],[c477,p4059]) ).
cnf(p17859,plain,
( ~ spl59
| def97
| op(e3,e3) = e2 ),
inference(resolution,[status(thm)],[p74,p4845]) ).
cnf(p28538,plain,
( ~ spl59
| op(e2,e3) != e2
| def97 ),
inference(superposition,[status(thm)],[p17859,c71]) ).
cnf(c364,plain,
( def87
| op(e2,e3) = e2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110,def111,def112,def113,def114,def115,def116,def117,def118,def119,def120,def121,def122,def123,def124,def125,def126,def127,def128,def129,def130])],[f4_sk]) ).
cnf(p29622,plain,
( ~ spl59
| def87
| def97 ),
inference(resolution,[status(thm)],[p28538,c364]) ).
cnf(p30313,plain,
( ~ spl59
| def96
| def65
| def87 ),
inference(resolution,[status(thm)],[p29622,c393]) ).
cnf(p31492,plain,
( ~ spl59
| def94
| def65
| def87 ),
inference(resolution,[status(thm)],[p30313,c390]) ).
cnf(p32765,plain,
( ~ spl59
| def92
| def65
| def87 ),
inference(resolution,[status(thm)],[p31492,c384]) ).
cnf(p38368,plain,
( ~ spl59
| def90
| def65
| def87 ),
inference(resolution,[status(thm)],[p32765,c378]) ).
cnf(p42058,plain,
( ~ spl59
| def88
| def65
| def87 ),
inference(resolution,[status(thm)],[p38368,c372]) ).
cnf(p43179,plain,
( ~ spl59
| def87
| def65
| def87 ),
inference(resolution,[status(thm)],[p42058,c367]) ).
cnf(p44040,plain,
( ~ spl59
| def65
| def87 ),
inference(factoring,[status(thm)],[p43179]) ).
cnf(p44791,plain,
( ~ spl59
| op(e2,e2) = e3
| op(e2,e3) != e2
| def65 ),
inference(resolution,[status(thm)],[p44040,c363]) ).
cnf(p54962,plain,
( ~ spl59
| ~ spl46
| op(e2,e2) = e3
| def65 ),
inference(resolution,[status(thm)],[p44791,p58]) ).
cnf(ssp408,plain,
( spl245
| spl43
| ~ spl59
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p54962,sdef43,sdef245]) ).
cnf(p54963,plain,
( ~ spl59
| ~ spl38
| ~ spl36
| op(e0,e0) = e3
| op(e0,e3) != e0
| def65 ),
inference(superposition,[status(thm)],[p956,p44791]) ).
cnf(ssp409,plain,
( spl245
| spl89
| spl3
| ~ spl59
| ~ spl38
| ~ spl36 ),
inference(avatar_split_clause,[status(thm)],[p54963,sdef3,sdef89,sdef245]) ).
cnf(p22152,plain,
( ~ spl40
| ~ spl35
| def89
| def65 ),
inference(resolution,[status(thm)],[p22120,c373]) ).
cnf(p55005,plain,
( ~ spl40
| ~ spl35
| op(e3,e2) = e0
| op(e3,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p22152,c369]) ).
cnf(ssp410,plain,
( spl245
| spl154
| spl56
| ~ spl40
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p55005,sdef56,sdef154,sdef245]) ).
cnf(p21968,plain,
( ~ spl40
| ~ spl35
| def95
| def65 ),
inference(resolution,[status(thm)],[p21834,c391]) ).
cnf(p22063,plain,
( ~ spl40
| ~ spl35
| op(e3,e2) = e3
| op(e3,e3) != e2
| def65 ),
inference(resolution,[status(thm)],[p21968,c387]) ).
cnf(p55006,plain,
( ~ spl62
| ~ spl40
| ~ spl35
| op(e3,e2) = e3
| def65 ),
inference(resolution,[status(thm)],[p22063,p78]) ).
cnf(ssp411,plain,
( spl245
| spl59
| ~ spl62
| ~ spl40
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p55006,sdef59,sdef245]) ).
cnf(p21969,plain,
( ~ spl135
| ~ spl35
| def88
| def65 ),
inference(resolution,[status(thm)],[p21835,c372]) ).
cnf(p44748,plain,
( ~ spl135
| ~ spl35
| def86
| def65 ),
inference(resolution,[status(thm)],[p21969,c366]) ).
cnf(p55007,plain,
( ~ spl135
| ~ spl35
| def84
| def65 ),
inference(resolution,[status(thm)],[p44748,c360]) ).
cnf(p55015,plain,
( ~ spl135
| ~ spl35
| def83
| def65 ),
inference(resolution,[status(thm)],[p55007,c355]) ).
cnf(p55019,plain,
( ~ spl135
| ~ spl35
| op(e2,e2) = e1
| op(e2,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p55015,c351]) ).
cnf(ssp412,plain,
( spl245
| spl214
| spl41
| ~ spl135
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p55019,sdef41,sdef214,sdef245]) ).
cnf(p55027,plain,
( ~ spl40
| ~ spl35
| def75
| def65 ),
inference(resolution,[status(thm)],[p55024,c331]) ).
cnf(p55030,plain,
( ~ spl40
| ~ spl35
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p55027,c327]) ).
cnf(ssp413,plain,
( spl245
| spl193
| spl25
| ~ spl40
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p55030,sdef25,sdef193,sdef245]) ).
cnf(p55029,plain,
( ~ spl40
| ~ spl35
| def73
| def65 ),
inference(resolution,[status(thm)],[p55026,c325]) ).
cnf(p55033,plain,
( ~ spl40
| ~ spl35
| op(e1,e2) = e0
| op(e1,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p55029,c321]) ).
cnf(ssp414,plain,
( spl245
| spl108
| spl24
| ~ spl40
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p55033,sdef24,sdef108,sdef245]) ).
cnf(p9286,plain,
( ~ spl55
| def95
| e1 = e2
| def97 ),
inference(superposition,[status(thm)],[p8261,c388]) ).
cnf(p10076,plain,
( ~ spl55
| def95
| def97 ),
inference(resolution,[status(thm)],[p9286,c99]) ).
cnf(p10165,plain,
( ~ spl55
| def96
| def65
| def95 ),
inference(resolution,[status(thm)],[p10076,c393]) ).
cnf(p11022,plain,
( ~ spl55
| def95
| def65
| def95 ),
inference(resolution,[status(thm)],[p10165,c391]) ).
cnf(p11575,plain,
( ~ spl55
| def65
| def95 ),
inference(factoring,[status(thm)],[p11022]) ).
cnf(p12150,plain,
( ~ spl55
| op(e3,e2) = e3
| op(e3,e3) != e2
| def65 ),
inference(resolution,[status(thm)],[p11575,c387]) ).
cnf(p56238,plain,
( ~ spl62
| ~ spl55
| op(e3,e2) = e3
| def65 ),
inference(resolution,[status(thm)],[p12150,p78]) ).
cnf(ssp415,plain,
( spl245
| spl59
| ~ spl62
| ~ spl55 ),
inference(avatar_split_clause,[status(thm)],[p56238,sdef59,sdef245]) ).
cnf(p58329,plain,
( ~ spl49
| ~ spl3
| e2 != e2
| def73 ),
inference(superposition,[status(thm)],[c322,p57330]) ).
cnf(p58806,plain,
( ~ spl49
| ~ spl3
| def73 ),
inference(equality_resolution,[status(thm)],[p58329]) ).
cnf(p58807,plain,
( ~ spl49
| ~ spl3
| op(e1,e2) = e0
| op(e1,e0) != e2 ),
inference(resolution,[status(thm)],[p58806,c321]) ).
cnf(ssp416,plain,
( spl108
| spl24
| ~ spl49
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p58807,sdef24,sdef108]) ).
cnf(p10033,plain,
( ~ spl112
| ~ spl19
| def82
| def65 ),
inference(resolution,[status(thm)],[p10004,c354]) ).
cnf(p10098,plain,
( ~ spl112
| ~ spl19
| def81
| def65 ),
inference(resolution,[status(thm)],[p10033,c349]) ).
cnf(p58867,plain,
( ~ spl112
| ~ spl19
| op(e2,e2) = e0
| op(e2,e0) != e2
| def65 ),
inference(resolution,[status(thm)],[p10098,c345]) ).
cnf(ssp417,plain,
( spl245
| spl131
| spl40
| ~ spl112
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p58867,sdef40,sdef131,sdef245]) ).
cnf(p10097,plain,
( ~ spl112
| ~ spl19
| def80
| def65 ),
inference(resolution,[status(thm)],[p10033,c348]) ).
cnf(p58865,plain,
( ~ spl112
| ~ spl19
| def78
| def65 ),
inference(resolution,[status(thm)],[p10097,c342]) ).
cnf(p58871,plain,
( ~ spl112
| ~ spl19
| def76
| def65 ),
inference(resolution,[status(thm)],[p58865,c336]) ).
cnf(p58875,plain,
( ~ spl112
| ~ spl19
| def75
| def65 ),
inference(resolution,[status(thm)],[p58871,c331]) ).
cnf(p58878,plain,
( ~ spl112
| ~ spl19
| op(e1,e2) = e1
| op(e1,e1) != e2
| def65 ),
inference(resolution,[status(thm)],[p58875,c327]) ).
cnf(ssp418,plain,
( spl245
| spl193
| spl25
| ~ spl112
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p58878,sdef25,sdef193,sdef245]) ).
cnf(p55635,plain,
( ~ spl20
| ~ spl6
| e3 != e3
| def115 ),
inference(superposition,[status(thm)],[c448,p54105]) ).
cnf(p58926,plain,
( ~ spl20
| ~ spl6
| def115 ),
inference(equality_resolution,[status(thm)],[p55635]) ).
cnf(p58936,plain,
( ~ spl20
| ~ spl6
| op(e2,e3) = e1
| op(e2,e1) != e3 ),
inference(resolution,[status(thm)],[p58926,c447]) ).
cnf(ssp419,plain,
( spl220
| spl45
| ~ spl20
| ~ spl6 ),
inference(avatar_split_clause,[status(thm)],[p58936,sdef45,sdef220]) ).
cnf(c60,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4285,plain,
( op(e0,e2) != e3
| def109 ),
inference(superposition,[status(thm)],[c430,c60]) ).
cnf(p9876,plain,
( ~ spl11
| def109 ),
inference(resolution,[status(thm)],[p14,p4285]) ).
cnf(p9883,plain,
( ~ spl11
| op(e1,e3) = e2
| op(e1,e2) != e3 ),
inference(resolution,[status(thm)],[p9876,c429]) ).
cnf(p59766,plain,
( ~ spl38
| ~ spl36
| ~ spl11
| op(e1,e3) = e0
| op(e1,e0) != e3 ),
inference(superposition,[status(thm)],[p956,p9883]) ).
cnf(ssp420,plain,
( spl114
| spl28
| ~ spl38
| ~ spl36
| ~ spl11 ),
inference(avatar_split_clause,[status(thm)],[p59766,sdef28,sdef114]) ).
cnf(c62,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4848,plain,
( op(e0,e2) != e3
| def125 ),
inference(superposition,[status(thm)],[c478,c62]) ).
cnf(p9878,plain,
( ~ spl11
| def125 ),
inference(resolution,[status(thm)],[p14,p4848]) ).
cnf(p9885,plain,
( ~ spl11
| op(e3,e3) = e2
| op(e3,e2) != e3 ),
inference(resolution,[status(thm)],[p9878,c477]) ).
cnf(p59767,plain,
( ~ spl38
| ~ spl36
| ~ spl11
| op(e3,e3) = e0
| op(e3,e0) != e3 ),
inference(superposition,[status(thm)],[p956,p9885]) ).
cnf(ssp421,plain,
( spl160
| spl60
| ~ spl38
| ~ spl36
| ~ spl11 ),
inference(avatar_split_clause,[status(thm)],[p59767,sdef60,sdef160]) ).
cnf(sat_ref,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[ssp0,ssp1,ssp2,ssp3,ssp4,ssp5,ssp6,ssp7,ssp8,ssp9,ssp10,ssp11,ssp12,ssp13,ssp14,ssp15,ssp16,ssp17,ssp18,ssp19,ssp20,ssp21,ssp22,ssp23,ssp24,ssp25,ssp26,ssp27,ssp28,ssp29,ssp30,ssp31,ssp32,ssp33,ssp34,ssp35,ssp36,ssp37,ssp38,ssp39,ssp40,ssp41,ssp42,ssp43,ssp44,ssp45,ssp46,ssp47,ssp48,ssp49,ssp50,ssp51,ssp52,ssp53,ssp54,ssp55,ssp56,ssp57,ssp58,ssp59,ssp60,ssp61,ssp62,ssp63,ssp64,ssp65,ssp66,ssp67,ssp68,ssp69,ssp70,ssp71,ssp72,ssp73,ssp74,ssp75,ssp76,ssp77,ssp78,ssp79,ssp80,ssp81,ssp82,ssp83,ssp84,ssp85,ssp86,ssp87,ssp88,ssp89,ssp90,ssp91,ssp92,ssp93,ssp94,ssp95,ssp96,ssp97,ssp98,ssp99,ssp100,ssp101,ssp102,ssp103,ssp104,ssp105,ssp106,ssp107,ssp108,ssp109,ssp110,ssp111,ssp112,ssp113,ssp114,ssp115,ssp116,ssp117,ssp118,ssp119,ssp120,ssp121,ssp122,ssp123,ssp124,ssp125,ssp126,ssp127,ssp128,ssp129,ssp130,ssp131,ssp132,ssp133,ssp134,ssp135,ssp136,ssp137,ssp138,ssp139,ssp140,ssp141,ssp142,ssp143,ssp144,ssp145,ssp146,ssp147,ssp148,ssp149,ssp150,ssp151,ssp152,ssp153,ssp154,ssp155,ssp156,ssp157,ssp158,ssp159,ssp160,ssp161,ssp162,ssp163,ssp164,ssp165,ssp166,ssp167,ssp168,ssp169,ssp170,ssp171,ssp172,ssp173,ssp174,ssp175,ssp176,ssp177,ssp178,ssp179,ssp180,ssp181,ssp182,ssp183,ssp184,ssp185,ssp186,ssp187,ssp188,ssp189,ssp190,ssp191,ssp192,ssp193,ssp194,ssp195,ssp196,ssp197,ssp198,ssp199,ssp200,ssp201,ssp202,ssp203,ssp204,ssp205,ssp206,ssp207,ssp208,ssp209,ssp210,ssp211,ssp212,ssp213,ssp214,ssp215,ssp216,ssp217,ssp218,ssp219,ssp220,ssp221,ssp222,ssp223,ssp224,ssp225,ssp226,ssp227,ssp228,ssp229,ssp230,ssp231,ssp232,ssp233,ssp234,ssp235,ssp236,ssp237,ssp238,ssp239,ssp240,ssp241,ssp242,ssp243,ssp244,ssp245,ssp246,ssp247,ssp248,ssp249,ssp250,ssp251,ssp252,ssp253,ssp254,ssp255,ssp256,ssp257,ssp258,ssp259,ssp260,ssp261,ssp262,ssp263,ssp264,ssp265,ssp266,ssp267,ssp268,ssp269,ssp270,ssp271,ssp272,ssp273,ssp274,ssp275,ssp276,ssp277,ssp278,ssp279,ssp280,ssp281,ssp282,ssp283,ssp284,ssp285,ssp286,ssp287,ssp288,ssp289,ssp290,ssp291,ssp292,ssp293,ssp294,ssp295,ssp296,ssp297,ssp298,ssp299,ssp300,ssp301,ssp302,ssp303,ssp304,ssp305,ssp306,ssp307,ssp308,ssp309,ssp310,ssp311,ssp312,ssp313,ssp314,ssp315,ssp316,ssp317,ssp318,ssp319,ssp320,ssp321,ssp322,ssp323,ssp324,ssp325,ssp326,ssp327,ssp328,ssp329,ssp330,ssp331,ssp332,ssp333,ssp334,ssp335,ssp336,ssp337,ssp338,ssp339,ssp340,ssp341,ssp342,ssp343,ssp344,ssp345,ssp346,ssp347,ssp348,ssp349,ssp350,ssp351,ssp352,ssp353,ssp354,ssp355,ssp356,ssp357,ssp358,ssp359,ssp360,ssp361,ssp362,ssp363,ssp364,ssp365,ssp366,ssp367,ssp368,ssp369,ssp370,ssp371,ssp372,ssp373,ssp374,ssp375,ssp376,ssp377,ssp378,ssp379,ssp380,ssp381,ssp382,ssp383,ssp384,ssp385,ssp386,ssp387,ssp388,ssp389,ssp390,ssp391,ssp392,ssp393,ssp394,ssp395,ssp396,ssp397,ssp398,ssp399,ssp400,ssp401,ssp402,ssp403,ssp404,ssp405,ssp406,ssp407,ssp408,ssp409,ssp410,ssp411,ssp412,ssp413,ssp414,ssp415,ssp416,ssp417,ssp418,ssp419,ssp420,ssp421,sct0,sct1,sct2,sct3,sct4,sct5,sct6,sct7,sct8,sct9,sct10,sct11,sct12,sct13,sct14,sct15,sct16,sct17,sct18,sct19,sct20,sct21,sct22,sct23,sct24,sct25,sct26,sct27,sct28,sct29,sct30,sct31,sct32,sct33,sct34,sct35,sct36,sct37,sct38,sct39,sct40,sct41,sct42,sct43,sct44,sct45,sct46,sct47,sct48,sct49,sct50,sct51,sct52,sct53,sct54,sct55,sct56,sct57,sct58,sct59,sct60,sct61,sct62,sct63,sct64,sct65,sct66,sct67,sct68,sct69,sct70,sct71,sct72,sct73,sct74,sct75,sct76,sct77,sct78,sct79,sct80,sct81,sct82,sct83,sct84,sct85,sct86,sct87,sct88,sct89,sct90,sct91,sct92,sct93,sct94,sct95,sct96,sct97,sct98,sct99,sct100,sct101,sct102,sct103,sct104,sct105,sct106,sct107,sct108,sct109,sct110,sct111,sct112,sct113,sct114,sct115,sct116,sct117,sct118,sct119,sct120,sct121,sct122,sct123,sct124,sct125,sct126,sct127,sct128,sct129,sct130,sct131,sct132,sct133,sct134,sct135,sct136,sct137,sct138,sct139,sct140,sct141,sct142,sct143,sct144,sct145,sct146,sct147,sct148,sct149,sct150,sct151,sct152,sct153,sct154,sct155,sct156,sct157,sct158,sct159,sct160,sct161,sct162,sct163,sct164,sct165,sct166,sct167,sct168,sct169,sct170,sct171,sct172,sct173,sct174,sct175,sct176,sct177,sct178,sct179,sct180,sct181,sct182,sct183,sct184,sct185,sct186,sct187,sct188,sct189,sct190,sct191,sct192,sct193,sct194,sct195,sct196,sct197,sct198,sct199,sct200,sct201,sct202,sct203,sct204,sct205,sct206,sct207,sct208,sct209,sct210,sct211,sct212,sct213,sct214,sct215,sct216,sct217,sct218,sct219,sct220,sct221,sct222,sct223,sct224,sct225,sct226,sct227,sct228,sct229,sct230,sct231,sct232,sct233,sct234,sct235,sct236,sct237,sct238,sct239,sct240,sct241,sct242,sct243,sct244,sct245,sct246,sct247,sct248,sct249,sct250,sct251,sct252,sct253,sct254,sct255,sct256,sct257,sct258,sct259,sct260,sct261,sct262,sct263,sct264,sct265,sct266,sct267,sct268,sct269,sct270,sct271,sct272,sct273,sct274,sct275,sct276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n001.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Fri Sep 25 05:00:14 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 234.80/35.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 234.80/35.70 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------