%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG161+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 12:51:46 PM UTC 2026
% Result : Unsatisfiable 96.93s 31.50s
% Output : Proof 96.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 285
% Syntax : Number of formulae : 3219 ( 53 unt; 256 def)
% Number of atoms : 11094 (2813 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 13729 (5854 ~;7094 |; 525 &)
% ( 256 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 366 ( 364 usr; 365 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(sdef66,definition,
( spl66
<=> def0 ),
introduced(definition,[new_symbols(naming,[spl66])],[avatar_definition]) ).
cnf(p171,plain,
( ~ spl66
| def0 ),
inference(avatar_component_clause,[status(thm)],[sdef66]) ).
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(p716,plain,
( ~ spl66
| ~ spl64
| $false ),
inference(resolution,[status(thm)],[p171,p167]) ).
cnf(sct0,plain,
( ~ spl66
| ~ spl64 ),
inference(avatar_contradiction_clause,[status(thm)],[p716]) ).
fof(sdef68,definition,
( spl68
<=> def1 ),
introduced(definition,[new_symbols(naming,[spl68])],[avatar_definition]) ).
cnf(p176,plain,
( ~ spl68
| def1 ),
inference(avatar_component_clause,[status(thm)],[sdef68]) ).
fof(sdef67,definition,
( spl67
<=> ~ def1 ),
introduced(definition,[new_symbols(naming,[spl67])],[avatar_definition]) ).
cnf(p173,plain,
( ~ spl67
| ~ def1 ),
inference(avatar_component_clause,[status(thm)],[sdef67]) ).
cnf(p717,plain,
( ~ spl68
| ~ spl67
| $false ),
inference(resolution,[status(thm)],[p176,p173]) ).
cnf(sct1,plain,
( ~ spl68
| ~ spl67 ),
inference(avatar_contradiction_clause,[status(thm)],[p717]) ).
fof(sdef72,definition,
( spl72
<=> def2 ),
introduced(definition,[new_symbols(naming,[spl72])],[avatar_definition]) ).
cnf(p183,plain,
( ~ spl72
| def2 ),
inference(avatar_component_clause,[status(thm)],[sdef72]) ).
fof(sdef69,definition,
( spl69
<=> ~ def2 ),
introduced(definition,[new_symbols(naming,[spl69])],[avatar_definition]) ).
cnf(p178,plain,
( ~ spl69
| ~ def2 ),
inference(avatar_component_clause,[status(thm)],[sdef69]) ).
cnf(p718,plain,
( ~ spl72
| ~ spl69
| $false ),
inference(resolution,[status(thm)],[p183,p178]) ).
cnf(sct2,plain,
( ~ spl72
| ~ spl69 ),
inference(avatar_contradiction_clause,[status(thm)],[p718]) ).
fof(sdef75,definition,
( spl75
<=> def3 ),
introduced(definition,[new_symbols(naming,[spl75])],[avatar_definition]) ).
cnf(p189,plain,
( ~ spl75
| def3 ),
inference(avatar_component_clause,[status(thm)],[sdef75]) ).
fof(sdef73,definition,
( spl73
<=> ~ def3 ),
introduced(definition,[new_symbols(naming,[spl73])],[avatar_definition]) ).
cnf(p185,plain,
( ~ spl73
| ~ def3 ),
inference(avatar_component_clause,[status(thm)],[sdef73]) ).
cnf(p719,plain,
( ~ spl75
| ~ spl73
| $false ),
inference(resolution,[status(thm)],[p189,p185]) ).
cnf(sct3,plain,
( ~ spl75
| ~ spl73 ),
inference(avatar_contradiction_clause,[status(thm)],[p719]) ).
fof(sdef77,definition,
( spl77
<=> def4 ),
introduced(definition,[new_symbols(naming,[spl77])],[avatar_definition]) ).
cnf(p193,plain,
( ~ spl77
| def4 ),
inference(avatar_component_clause,[status(thm)],[sdef77]) ).
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(p722,plain,
( ~ spl77
| ~ spl76
| $false ),
inference(resolution,[status(thm)],[p193,p191]) ).
cnf(sct4,plain,
( ~ spl77
| ~ spl76 ),
inference(avatar_contradiction_clause,[status(thm)],[p722]) ).
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(sdef78,definition,
( spl78
<=> ~ def5 ),
introduced(definition,[new_symbols(naming,[spl78])],[avatar_definition]) ).
cnf(p196,plain,
( ~ spl78
| ~ def5 ),
inference(avatar_component_clause,[status(thm)],[sdef78]) ).
cnf(p723,plain,
( ~ spl81
| ~ spl78
| $false ),
inference(resolution,[status(thm)],[p201,p196]) ).
cnf(sct5,plain,
( ~ spl81
| ~ spl78 ),
inference(avatar_contradiction_clause,[status(thm)],[p723]) ).
fof(sdef84,definition,
( spl84
<=> def6 ),
introduced(definition,[new_symbols(naming,[spl84])],[avatar_definition]) ).
cnf(p207,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(p728,plain,
( ~ spl84
| ~ spl82
| $false ),
inference(resolution,[status(thm)],[p207,p203]) ).
cnf(sct6,plain,
( ~ spl84
| ~ spl82 ),
inference(avatar_contradiction_clause,[status(thm)],[p728]) ).
fof(sdef86,definition,
( spl86
<=> def7 ),
introduced(definition,[new_symbols(naming,[spl86])],[avatar_definition]) ).
cnf(p211,plain,
( ~ spl86
| def7 ),
inference(avatar_component_clause,[status(thm)],[sdef86]) ).
fof(sdef85,definition,
( spl85
<=> ~ def7 ),
introduced(definition,[new_symbols(naming,[spl85])],[avatar_definition]) ).
cnf(p209,plain,
( ~ spl85
| ~ def7 ),
inference(avatar_component_clause,[status(thm)],[sdef85]) ).
cnf(p729,plain,
( ~ spl86
| ~ spl85
| $false ),
inference(resolution,[status(thm)],[p211,p209]) ).
cnf(sct7,plain,
( ~ spl86
| ~ spl85 ),
inference(avatar_contradiction_clause,[status(thm)],[p729]) ).
fof(sdef90,definition,
( spl90
<=> def8 ),
introduced(definition,[new_symbols(naming,[spl90])],[avatar_definition]) ).
cnf(p219,plain,
( ~ spl90
| def8 ),
inference(avatar_component_clause,[status(thm)],[sdef90]) ).
fof(sdef87,definition,
( spl87
<=> ~ def8 ),
introduced(definition,[new_symbols(naming,[spl87])],[avatar_definition]) ).
cnf(p214,plain,
( ~ spl87
| ~ def8 ),
inference(avatar_component_clause,[status(thm)],[sdef87]) ).
cnf(p736,plain,
( ~ spl90
| ~ spl87
| $false ),
inference(resolution,[status(thm)],[p219,p214]) ).
cnf(sct8,plain,
( ~ spl90
| ~ spl87 ),
inference(avatar_contradiction_clause,[status(thm)],[p736]) ).
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(sdef91,definition,
( spl91
<=> ~ def9 ),
introduced(definition,[new_symbols(naming,[spl91])],[avatar_definition]) ).
cnf(p221,plain,
( ~ spl91
| ~ def9 ),
inference(avatar_component_clause,[status(thm)],[sdef91]) ).
cnf(p737,plain,
( ~ spl93
| ~ spl91
| $false ),
inference(resolution,[status(thm)],[p225,p221]) ).
cnf(sct9,plain,
( ~ spl93
| ~ spl91 ),
inference(avatar_contradiction_clause,[status(thm)],[p737]) ).
fof(sdef95,definition,
( spl95
<=> def10 ),
introduced(definition,[new_symbols(naming,[spl95])],[avatar_definition]) ).
cnf(p229,plain,
( ~ spl95
| def10 ),
inference(avatar_component_clause,[status(thm)],[sdef95]) ).
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(p738,plain,
( ~ spl95
| ~ spl94
| $false ),
inference(resolution,[status(thm)],[p229,p227]) ).
cnf(sct10,plain,
( ~ spl95
| ~ spl94 ),
inference(avatar_contradiction_clause,[status(thm)],[p738]) ).
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(sdef96,definition,
( spl96
<=> ~ def11 ),
introduced(definition,[new_symbols(naming,[spl96])],[avatar_definition]) ).
cnf(p232,plain,
( ~ spl96
| ~ def11 ),
inference(avatar_component_clause,[status(thm)],[sdef96]) ).
cnf(p739,plain,
( ~ spl98
| ~ spl96
| $false ),
inference(resolution,[status(thm)],[p236,p232]) ).
cnf(sct11,plain,
( ~ spl98
| ~ spl96 ),
inference(avatar_contradiction_clause,[status(thm)],[p739]) ).
fof(sdef100,definition,
( spl100
<=> def12 ),
introduced(definition,[new_symbols(naming,[spl100])],[avatar_definition]) ).
cnf(p241,plain,
( ~ spl100
| def12 ),
inference(avatar_component_clause,[status(thm)],[sdef100]) ).
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(p742,plain,
( ~ spl100
| ~ spl99
| $false ),
inference(resolution,[status(thm)],[p241,p238]) ).
cnf(sct12,plain,
( ~ spl100
| ~ spl99 ),
inference(avatar_contradiction_clause,[status(thm)],[p742]) ).
fof(sdef102,definition,
( spl102
<=> def13 ),
introduced(definition,[new_symbols(naming,[spl102])],[avatar_definition]) ).
cnf(p245,plain,
( ~ spl102
| def13 ),
inference(avatar_component_clause,[status(thm)],[sdef102]) ).
fof(sdef101,definition,
( spl101
<=> ~ def13 ),
introduced(definition,[new_symbols(naming,[spl101])],[avatar_definition]) ).
cnf(p243,plain,
( ~ spl101
| ~ def13 ),
inference(avatar_component_clause,[status(thm)],[sdef101]) ).
cnf(p743,plain,
( ~ spl102
| ~ spl101
| $false ),
inference(resolution,[status(thm)],[p245,p243]) ).
cnf(sct13,plain,
( ~ spl102
| ~ spl101 ),
inference(avatar_contradiction_clause,[status(thm)],[p743]) ).
fof(sdef105,definition,
( spl105
<=> def14 ),
introduced(definition,[new_symbols(naming,[spl105])],[avatar_definition]) ).
cnf(p252,plain,
( ~ spl105
| def14 ),
inference(avatar_component_clause,[status(thm)],[sdef105]) ).
fof(sdef103,definition,
( spl103
<=> ~ def14 ),
introduced(definition,[new_symbols(naming,[spl103])],[avatar_definition]) ).
cnf(p248,plain,
( ~ spl103
| ~ def14 ),
inference(avatar_component_clause,[status(thm)],[sdef103]) ).
cnf(p748,plain,
( ~ spl105
| ~ spl103
| $false ),
inference(resolution,[status(thm)],[p252,p248]) ).
cnf(sct14,plain,
( ~ spl105
| ~ spl103 ),
inference(avatar_contradiction_clause,[status(thm)],[p748]) ).
fof(sdef107,definition,
( spl107
<=> def15 ),
introduced(definition,[new_symbols(naming,[spl107])],[avatar_definition]) ).
cnf(p257,plain,
( ~ spl107
| def15 ),
inference(avatar_component_clause,[status(thm)],[sdef107]) ).
fof(sdef106,definition,
( spl106
<=> ~ def15 ),
introduced(definition,[new_symbols(naming,[spl106])],[avatar_definition]) ).
cnf(p254,plain,
( ~ spl106
| ~ def15 ),
inference(avatar_component_clause,[status(thm)],[sdef106]) ).
cnf(p749,plain,
( ~ spl107
| ~ spl106
| $false ),
inference(resolution,[status(thm)],[p257,p254]) ).
cnf(sct15,plain,
( ~ spl107
| ~ spl106 ),
inference(avatar_contradiction_clause,[status(thm)],[p749]) ).
fof(sdef109,definition,
( spl109
<=> def16 ),
introduced(definition,[new_symbols(naming,[spl109])],[avatar_definition]) ).
cnf(p261,plain,
( ~ spl109
| def16 ),
inference(avatar_component_clause,[status(thm)],[sdef109]) ).
fof(sdef108,definition,
( spl108
<=> ~ def16 ),
introduced(definition,[new_symbols(naming,[spl108])],[avatar_definition]) ).
cnf(p259,plain,
( ~ spl108
| ~ def16 ),
inference(avatar_component_clause,[status(thm)],[sdef108]) ).
cnf(p756,plain,
( ~ spl109
| ~ spl108
| $false ),
inference(resolution,[status(thm)],[p261,p259]) ).
cnf(sct16,plain,
( ~ spl109
| ~ spl108 ),
inference(avatar_contradiction_clause,[status(thm)],[p756]) ).
fof(sdef113,definition,
( spl113
<=> def17 ),
introduced(definition,[new_symbols(naming,[spl113])],[avatar_definition]) ).
cnf(p269,plain,
( ~ spl113
| def17 ),
inference(avatar_component_clause,[status(thm)],[sdef113]) ).
fof(sdef110,definition,
( spl110
<=> ~ def17 ),
introduced(definition,[new_symbols(naming,[spl110])],[avatar_definition]) ).
cnf(p264,plain,
( ~ spl110
| ~ def17 ),
inference(avatar_component_clause,[status(thm)],[sdef110]) ).
cnf(p757,plain,
( ~ spl113
| ~ spl110
| $false ),
inference(resolution,[status(thm)],[p269,p264]) ).
cnf(sct17,plain,
( ~ spl113
| ~ spl110 ),
inference(avatar_contradiction_clause,[status(thm)],[p757]) ).
fof(sdef116,definition,
( spl116
<=> def18 ),
introduced(definition,[new_symbols(naming,[spl116])],[avatar_definition]) ).
cnf(p275,plain,
( ~ spl116
| def18 ),
inference(avatar_component_clause,[status(thm)],[sdef116]) ).
fof(sdef114,definition,
( spl114
<=> ~ def18 ),
introduced(definition,[new_symbols(naming,[spl114])],[avatar_definition]) ).
cnf(p271,plain,
( ~ spl114
| ~ def18 ),
inference(avatar_component_clause,[status(thm)],[sdef114]) ).
cnf(p758,plain,
( ~ spl116
| ~ spl114
| $false ),
inference(resolution,[status(thm)],[p275,p271]) ).
cnf(sct18,plain,
( ~ spl116
| ~ spl114 ),
inference(avatar_contradiction_clause,[status(thm)],[p758]) ).
fof(sdef118,definition,
( spl118
<=> def19 ),
introduced(definition,[new_symbols(naming,[spl118])],[avatar_definition]) ).
cnf(p279,plain,
( ~ spl118
| def19 ),
inference(avatar_component_clause,[status(thm)],[sdef118]) ).
fof(sdef117,definition,
( spl117
<=> ~ def19 ),
introduced(definition,[new_symbols(naming,[spl117])],[avatar_definition]) ).
cnf(p277,plain,
( ~ spl117
| ~ def19 ),
inference(avatar_component_clause,[status(thm)],[sdef117]) ).
cnf(p759,plain,
( ~ spl118
| ~ spl117
| $false ),
inference(resolution,[status(thm)],[p279,p277]) ).
cnf(sct19,plain,
( ~ spl118
| ~ spl117 ),
inference(avatar_contradiction_clause,[status(thm)],[p759]) ).
fof(sdef122,definition,
( spl122
<=> def20 ),
introduced(definition,[new_symbols(naming,[spl122])],[avatar_definition]) ).
cnf(p287,plain,
( ~ spl122
| def20 ),
inference(avatar_component_clause,[status(thm)],[sdef122]) ).
fof(sdef119,definition,
( spl119
<=> ~ def20 ),
introduced(definition,[new_symbols(naming,[spl119])],[avatar_definition]) ).
cnf(p282,plain,
( ~ spl119
| ~ def20 ),
inference(avatar_component_clause,[status(thm)],[sdef119]) ).
cnf(p762,plain,
( ~ spl122
| ~ spl119
| $false ),
inference(resolution,[status(thm)],[p287,p282]) ).
cnf(sct20,plain,
( ~ spl122
| ~ spl119 ),
inference(avatar_contradiction_clause,[status(thm)],[p762]) ).
fof(sdef125,definition,
( spl125
<=> def21 ),
introduced(definition,[new_symbols(naming,[spl125])],[avatar_definition]) ).
cnf(p293,plain,
( ~ spl125
| def21 ),
inference(avatar_component_clause,[status(thm)],[sdef125]) ).
fof(sdef123,definition,
( spl123
<=> ~ def21 ),
introduced(definition,[new_symbols(naming,[spl123])],[avatar_definition]) ).
cnf(p289,plain,
( ~ spl123
| ~ def21 ),
inference(avatar_component_clause,[status(thm)],[sdef123]) ).
cnf(p763,plain,
( ~ spl125
| ~ spl123
| $false ),
inference(resolution,[status(thm)],[p293,p289]) ).
cnf(sct21,plain,
( ~ spl125
| ~ spl123 ),
inference(avatar_contradiction_clause,[status(thm)],[p763]) ).
fof(sdef127,definition,
( spl127
<=> def22 ),
introduced(definition,[new_symbols(naming,[spl127])],[avatar_definition]) ).
cnf(p297,plain,
( ~ spl127
| def22 ),
inference(avatar_component_clause,[status(thm)],[sdef127]) ).
fof(sdef126,definition,
( spl126
<=> ~ def22 ),
introduced(definition,[new_symbols(naming,[spl126])],[avatar_definition]) ).
cnf(p295,plain,
( ~ spl126
| ~ def22 ),
inference(avatar_component_clause,[status(thm)],[sdef126]) ).
cnf(p768,plain,
( ~ spl127
| ~ spl126
| $false ),
inference(resolution,[status(thm)],[p297,p295]) ).
cnf(sct22,plain,
( ~ spl127
| ~ spl126 ),
inference(avatar_contradiction_clause,[status(thm)],[p768]) ).
fof(sdef130,definition,
( spl130
<=> def23 ),
introduced(definition,[new_symbols(naming,[spl130])],[avatar_definition]) ).
cnf(p304,plain,
( ~ spl130
| def23 ),
inference(avatar_component_clause,[status(thm)],[sdef130]) ).
fof(sdef128,definition,
( spl128
<=> ~ def23 ),
introduced(definition,[new_symbols(naming,[spl128])],[avatar_definition]) ).
cnf(p300,plain,
( ~ spl128
| ~ def23 ),
inference(avatar_component_clause,[status(thm)],[sdef128]) ).
cnf(p769,plain,
( ~ spl130
| ~ spl128
| $false ),
inference(resolution,[status(thm)],[p304,p300]) ).
cnf(sct23,plain,
( ~ spl130
| ~ spl128 ),
inference(avatar_contradiction_clause,[status(thm)],[p769]) ).
fof(sdef132,definition,
( spl132
<=> def24 ),
introduced(definition,[new_symbols(naming,[spl132])],[avatar_definition]) ).
cnf(p309,plain,
( ~ spl132
| def24 ),
inference(avatar_component_clause,[status(thm)],[sdef132]) ).
fof(sdef131,definition,
( spl131
<=> ~ def24 ),
introduced(definition,[new_symbols(naming,[spl131])],[avatar_definition]) ).
cnf(p306,plain,
( ~ spl131
| ~ def24 ),
inference(avatar_component_clause,[status(thm)],[sdef131]) ).
cnf(p776,plain,
( ~ spl132
| ~ spl131
| $false ),
inference(resolution,[status(thm)],[p309,p306]) ).
cnf(sct24,plain,
( ~ spl132
| ~ spl131 ),
inference(avatar_contradiction_clause,[status(thm)],[p776]) ).
fof(sdef134,definition,
( spl134
<=> def25 ),
introduced(definition,[new_symbols(naming,[spl134])],[avatar_definition]) ).
cnf(p313,plain,
( ~ spl134
| def25 ),
inference(avatar_component_clause,[status(thm)],[sdef134]) ).
fof(sdef133,definition,
( spl133
<=> ~ def25 ),
introduced(definition,[new_symbols(naming,[spl133])],[avatar_definition]) ).
cnf(p311,plain,
( ~ spl133
| ~ def25 ),
inference(avatar_component_clause,[status(thm)],[sdef133]) ).
cnf(p777,plain,
( ~ spl134
| ~ spl133
| $false ),
inference(resolution,[status(thm)],[p313,p311]) ).
cnf(sct25,plain,
( ~ spl134
| ~ spl133 ),
inference(avatar_contradiction_clause,[status(thm)],[p777]) ).
fof(sdef137,definition,
( spl137
<=> def26 ),
introduced(definition,[new_symbols(naming,[spl137])],[avatar_definition]) ).
cnf(p320,plain,
( ~ spl137
| def26 ),
inference(avatar_component_clause,[status(thm)],[sdef137]) ).
fof(sdef135,definition,
( spl135
<=> ~ def26 ),
introduced(definition,[new_symbols(naming,[spl135])],[avatar_definition]) ).
cnf(p316,plain,
( ~ spl135
| ~ def26 ),
inference(avatar_component_clause,[status(thm)],[sdef135]) ).
cnf(p778,plain,
( ~ spl137
| ~ spl135
| $false ),
inference(resolution,[status(thm)],[p320,p316]) ).
cnf(sct26,plain,
( ~ spl137
| ~ spl135 ),
inference(avatar_contradiction_clause,[status(thm)],[p778]) ).
fof(sdef139,definition,
( spl139
<=> def27 ),
introduced(definition,[new_symbols(naming,[spl139])],[avatar_definition]) ).
cnf(p325,plain,
( ~ spl139
| def27 ),
inference(avatar_component_clause,[status(thm)],[sdef139]) ).
fof(sdef138,definition,
( spl138
<=> ~ def27 ),
introduced(definition,[new_symbols(naming,[spl138])],[avatar_definition]) ).
cnf(p322,plain,
( ~ spl138
| ~ def27 ),
inference(avatar_component_clause,[status(thm)],[sdef138]) ).
cnf(p779,plain,
( ~ spl139
| ~ spl138
| $false ),
inference(resolution,[status(thm)],[p325,p322]) ).
cnf(sct27,plain,
( ~ spl139
| ~ spl138 ),
inference(avatar_contradiction_clause,[status(thm)],[p779]) ).
fof(sdef141,definition,
( spl141
<=> def28 ),
introduced(definition,[new_symbols(naming,[spl141])],[avatar_definition]) ).
cnf(p329,plain,
( ~ spl141
| def28 ),
inference(avatar_component_clause,[status(thm)],[sdef141]) ).
fof(sdef140,definition,
( spl140
<=> ~ def28 ),
introduced(definition,[new_symbols(naming,[spl140])],[avatar_definition]) ).
cnf(p327,plain,
( ~ spl140
| ~ def28 ),
inference(avatar_component_clause,[status(thm)],[sdef140]) ).
cnf(p782,plain,
( ~ spl141
| ~ spl140
| $false ),
inference(resolution,[status(thm)],[p329,p327]) ).
cnf(sct28,plain,
( ~ spl141
| ~ spl140 ),
inference(avatar_contradiction_clause,[status(thm)],[p782]) ).
fof(sdef144,definition,
( spl144
<=> def29 ),
introduced(definition,[new_symbols(naming,[spl144])],[avatar_definition]) ).
cnf(p336,plain,
( ~ spl144
| def29 ),
inference(avatar_component_clause,[status(thm)],[sdef144]) ).
fof(sdef142,definition,
( spl142
<=> ~ def29 ),
introduced(definition,[new_symbols(naming,[spl142])],[avatar_definition]) ).
cnf(p332,plain,
( ~ spl142
| ~ def29 ),
inference(avatar_component_clause,[status(thm)],[sdef142]) ).
cnf(p783,plain,
( ~ spl144
| ~ spl142
| $false ),
inference(resolution,[status(thm)],[p336,p332]) ).
cnf(sct29,plain,
( ~ spl144
| ~ spl142 ),
inference(avatar_contradiction_clause,[status(thm)],[p783]) ).
fof(sdef146,definition,
( spl146
<=> def30 ),
introduced(definition,[new_symbols(naming,[spl146])],[avatar_definition]) ).
cnf(p341,plain,
( ~ spl146
| def30 ),
inference(avatar_component_clause,[status(thm)],[sdef146]) ).
fof(sdef145,definition,
( spl145
<=> ~ def30 ),
introduced(definition,[new_symbols(naming,[spl145])],[avatar_definition]) ).
cnf(p338,plain,
( ~ spl145
| ~ def30 ),
inference(avatar_component_clause,[status(thm)],[sdef145]) ).
cnf(p788,plain,
( ~ spl146
| ~ spl145
| $false ),
inference(resolution,[status(thm)],[p341,p338]) ).
cnf(sct30,plain,
( ~ spl146
| ~ spl145 ),
inference(avatar_contradiction_clause,[status(thm)],[p788]) ).
fof(sdef148,definition,
( spl148
<=> def31 ),
introduced(definition,[new_symbols(naming,[spl148])],[avatar_definition]) ).
cnf(p345,plain,
( ~ spl148
| def31 ),
inference(avatar_component_clause,[status(thm)],[sdef148]) ).
fof(sdef147,definition,
( spl147
<=> ~ def31 ),
introduced(definition,[new_symbols(naming,[spl147])],[avatar_definition]) ).
cnf(p343,plain,
( ~ spl147
| ~ def31 ),
inference(avatar_component_clause,[status(thm)],[sdef147]) ).
cnf(p789,plain,
( ~ spl148
| ~ spl147
| $false ),
inference(resolution,[status(thm)],[p345,p343]) ).
cnf(sct31,plain,
( ~ spl148
| ~ spl147 ),
inference(avatar_contradiction_clause,[status(thm)],[p789]) ).
fof(sdef152,definition,
( spl152
<=> def32 ),
introduced(definition,[new_symbols(naming,[spl152])],[avatar_definition]) ).
cnf(p353,plain,
( ~ spl152
| def32 ),
inference(avatar_component_clause,[status(thm)],[sdef152]) ).
fof(sdef149,definition,
( spl149
<=> ~ def32 ),
introduced(definition,[new_symbols(naming,[spl149])],[avatar_definition]) ).
cnf(p348,plain,
( ~ spl149
| ~ def32 ),
inference(avatar_component_clause,[status(thm)],[sdef149]) ).
cnf(p796,plain,
( ~ spl152
| ~ spl149
| $false ),
inference(resolution,[status(thm)],[p353,p348]) ).
cnf(sct32,plain,
( ~ spl152
| ~ spl149 ),
inference(avatar_contradiction_clause,[status(thm)],[p796]) ).
fof(sdef155,definition,
( spl155
<=> def33 ),
introduced(definition,[new_symbols(naming,[spl155])],[avatar_definition]) ).
cnf(p359,plain,
( ~ spl155
| def33 ),
inference(avatar_component_clause,[status(thm)],[sdef155]) ).
fof(sdef153,definition,
( spl153
<=> ~ def33 ),
introduced(definition,[new_symbols(naming,[spl153])],[avatar_definition]) ).
cnf(p355,plain,
( ~ spl153
| ~ def33 ),
inference(avatar_component_clause,[status(thm)],[sdef153]) ).
cnf(p797,plain,
( ~ spl155
| ~ spl153
| $false ),
inference(resolution,[status(thm)],[p359,p355]) ).
cnf(sct33,plain,
( ~ spl155
| ~ spl153 ),
inference(avatar_contradiction_clause,[status(thm)],[p797]) ).
fof(sdef157,definition,
( spl157
<=> def34 ),
introduced(definition,[new_symbols(naming,[spl157])],[avatar_definition]) ).
cnf(p363,plain,
( ~ spl157
| def34 ),
inference(avatar_component_clause,[status(thm)],[sdef157]) ).
fof(sdef156,definition,
( spl156
<=> ~ def34 ),
introduced(definition,[new_symbols(naming,[spl156])],[avatar_definition]) ).
cnf(p361,plain,
( ~ spl156
| ~ def34 ),
inference(avatar_component_clause,[status(thm)],[sdef156]) ).
cnf(p798,plain,
( ~ spl157
| ~ spl156
| $false ),
inference(resolution,[status(thm)],[p363,p361]) ).
cnf(sct34,plain,
( ~ spl157
| ~ spl156 ),
inference(avatar_contradiction_clause,[status(thm)],[p798]) ).
fof(sdef160,definition,
( spl160
<=> def35 ),
introduced(definition,[new_symbols(naming,[spl160])],[avatar_definition]) ).
cnf(p370,plain,
( ~ spl160
| def35 ),
inference(avatar_component_clause,[status(thm)],[sdef160]) ).
fof(sdef158,definition,
( spl158
<=> ~ def35 ),
introduced(definition,[new_symbols(naming,[spl158])],[avatar_definition]) ).
cnf(p366,plain,
( ~ spl158
| ~ def35 ),
inference(avatar_component_clause,[status(thm)],[sdef158]) ).
cnf(p799,plain,
( ~ spl160
| ~ spl158
| $false ),
inference(resolution,[status(thm)],[p370,p366]) ).
cnf(sct35,plain,
( ~ spl160
| ~ spl158 ),
inference(avatar_contradiction_clause,[status(thm)],[p799]) ).
fof(sdef162,definition,
( spl162
<=> def36 ),
introduced(definition,[new_symbols(naming,[spl162])],[avatar_definition]) ).
cnf(p375,plain,
( ~ spl162
| def36 ),
inference(avatar_component_clause,[status(thm)],[sdef162]) ).
fof(sdef161,definition,
( spl161
<=> ~ def36 ),
introduced(definition,[new_symbols(naming,[spl161])],[avatar_definition]) ).
cnf(p372,plain,
( ~ spl161
| ~ def36 ),
inference(avatar_component_clause,[status(thm)],[sdef161]) ).
cnf(p802,plain,
( ~ spl162
| ~ spl161
| $false ),
inference(resolution,[status(thm)],[p375,p372]) ).
cnf(sct36,plain,
( ~ spl162
| ~ spl161 ),
inference(avatar_contradiction_clause,[status(thm)],[p802]) ).
fof(sdef164,definition,
( spl164
<=> def37 ),
introduced(definition,[new_symbols(naming,[spl164])],[avatar_definition]) ).
cnf(p379,plain,
( ~ spl164
| def37 ),
inference(avatar_component_clause,[status(thm)],[sdef164]) ).
fof(sdef163,definition,
( spl163
<=> ~ def37 ),
introduced(definition,[new_symbols(naming,[spl163])],[avatar_definition]) ).
cnf(p377,plain,
( ~ spl163
| ~ def37 ),
inference(avatar_component_clause,[status(thm)],[sdef163]) ).
cnf(p803,plain,
( ~ spl164
| ~ spl163
| $false ),
inference(resolution,[status(thm)],[p379,p377]) ).
cnf(sct37,plain,
( ~ spl164
| ~ spl163 ),
inference(avatar_contradiction_clause,[status(thm)],[p803]) ).
fof(sdef167,definition,
( spl167
<=> def38 ),
introduced(definition,[new_symbols(naming,[spl167])],[avatar_definition]) ).
cnf(p386,plain,
( ~ spl167
| def38 ),
inference(avatar_component_clause,[status(thm)],[sdef167]) ).
fof(sdef165,definition,
( spl165
<=> ~ def38 ),
introduced(definition,[new_symbols(naming,[spl165])],[avatar_definition]) ).
cnf(p382,plain,
( ~ spl165
| ~ def38 ),
inference(avatar_component_clause,[status(thm)],[sdef165]) ).
cnf(p808,plain,
( ~ spl167
| ~ spl165
| $false ),
inference(resolution,[status(thm)],[p386,p382]) ).
cnf(sct38,plain,
( ~ spl167
| ~ spl165 ),
inference(avatar_contradiction_clause,[status(thm)],[p808]) ).
fof(sdef169,definition,
( spl169
<=> def39 ),
introduced(definition,[new_symbols(naming,[spl169])],[avatar_definition]) ).
cnf(p391,plain,
( ~ spl169
| def39 ),
inference(avatar_component_clause,[status(thm)],[sdef169]) ).
fof(sdef168,definition,
( spl168
<=> ~ def39 ),
introduced(definition,[new_symbols(naming,[spl168])],[avatar_definition]) ).
cnf(p388,plain,
( ~ spl168
| ~ def39 ),
inference(avatar_component_clause,[status(thm)],[sdef168]) ).
cnf(p809,plain,
( ~ spl169
| ~ spl168
| $false ),
inference(resolution,[status(thm)],[p391,p388]) ).
cnf(sct39,plain,
( ~ spl169
| ~ spl168 ),
inference(avatar_contradiction_clause,[status(thm)],[p809]) ).
fof(sdef171,definition,
( spl171
<=> def40 ),
introduced(definition,[new_symbols(naming,[spl171])],[avatar_definition]) ).
cnf(p395,plain,
( ~ spl171
| def40 ),
inference(avatar_component_clause,[status(thm)],[sdef171]) ).
fof(sdef170,definition,
( spl170
<=> ~ def40 ),
introduced(definition,[new_symbols(naming,[spl170])],[avatar_definition]) ).
cnf(p393,plain,
( ~ spl170
| ~ def40 ),
inference(avatar_component_clause,[status(thm)],[sdef170]) ).
cnf(p816,plain,
( ~ spl171
| ~ spl170
| $false ),
inference(resolution,[status(thm)],[p395,p393]) ).
cnf(sct40,plain,
( ~ spl171
| ~ spl170 ),
inference(avatar_contradiction_clause,[status(thm)],[p816]) ).
fof(sdef174,definition,
( spl174
<=> def41 ),
introduced(definition,[new_symbols(naming,[spl174])],[avatar_definition]) ).
cnf(p402,plain,
( ~ spl174
| def41 ),
inference(avatar_component_clause,[status(thm)],[sdef174]) ).
fof(sdef172,definition,
( spl172
<=> ~ def41 ),
introduced(definition,[new_symbols(naming,[spl172])],[avatar_definition]) ).
cnf(p398,plain,
( ~ spl172
| ~ def41 ),
inference(avatar_component_clause,[status(thm)],[sdef172]) ).
cnf(p817,plain,
( ~ spl174
| ~ spl172
| $false ),
inference(resolution,[status(thm)],[p402,p398]) ).
cnf(sct41,plain,
( ~ spl174
| ~ spl172 ),
inference(avatar_contradiction_clause,[status(thm)],[p817]) ).
fof(sdef176,definition,
( spl176
<=> def42 ),
introduced(definition,[new_symbols(naming,[spl176])],[avatar_definition]) ).
cnf(p407,plain,
( ~ spl176
| def42 ),
inference(avatar_component_clause,[status(thm)],[sdef176]) ).
fof(sdef175,definition,
( spl175
<=> ~ def42 ),
introduced(definition,[new_symbols(naming,[spl175])],[avatar_definition]) ).
cnf(p404,plain,
( ~ spl175
| ~ def42 ),
inference(avatar_component_clause,[status(thm)],[sdef175]) ).
cnf(p818,plain,
( ~ spl176
| ~ spl175
| $false ),
inference(resolution,[status(thm)],[p407,p404]) ).
cnf(sct42,plain,
( ~ spl176
| ~ spl175 ),
inference(avatar_contradiction_clause,[status(thm)],[p818]) ).
fof(sdef178,definition,
( spl178
<=> def43 ),
introduced(definition,[new_symbols(naming,[spl178])],[avatar_definition]) ).
cnf(p411,plain,
( ~ spl178
| def43 ),
inference(avatar_component_clause,[status(thm)],[sdef178]) ).
fof(sdef177,definition,
( spl177
<=> ~ def43 ),
introduced(definition,[new_symbols(naming,[spl177])],[avatar_definition]) ).
cnf(p409,plain,
( ~ spl177
| ~ def43 ),
inference(avatar_component_clause,[status(thm)],[sdef177]) ).
cnf(p819,plain,
( ~ spl178
| ~ spl177
| $false ),
inference(resolution,[status(thm)],[p411,p409]) ).
cnf(sct43,plain,
( ~ spl178
| ~ spl177 ),
inference(avatar_contradiction_clause,[status(thm)],[p819]) ).
fof(sdef181,definition,
( spl181
<=> def44 ),
introduced(definition,[new_symbols(naming,[spl181])],[avatar_definition]) ).
cnf(p418,plain,
( ~ spl181
| def44 ),
inference(avatar_component_clause,[status(thm)],[sdef181]) ).
fof(sdef179,definition,
( spl179
<=> ~ def44 ),
introduced(definition,[new_symbols(naming,[spl179])],[avatar_definition]) ).
cnf(p414,plain,
( ~ spl179
| ~ def44 ),
inference(avatar_component_clause,[status(thm)],[sdef179]) ).
cnf(p822,plain,
( ~ spl181
| ~ spl179
| $false ),
inference(resolution,[status(thm)],[p418,p414]) ).
cnf(sct44,plain,
( ~ spl181
| ~ spl179 ),
inference(avatar_contradiction_clause,[status(thm)],[p822]) ).
fof(sdef183,definition,
( spl183
<=> def45 ),
introduced(definition,[new_symbols(naming,[spl183])],[avatar_definition]) ).
cnf(p423,plain,
( ~ spl183
| def45 ),
inference(avatar_component_clause,[status(thm)],[sdef183]) ).
fof(sdef182,definition,
( spl182
<=> ~ def45 ),
introduced(definition,[new_symbols(naming,[spl182])],[avatar_definition]) ).
cnf(p420,plain,
( ~ spl182
| ~ def45 ),
inference(avatar_component_clause,[status(thm)],[sdef182]) ).
cnf(p823,plain,
( ~ spl183
| ~ spl182
| $false ),
inference(resolution,[status(thm)],[p423,p420]) ).
cnf(sct45,plain,
( ~ spl183
| ~ spl182 ),
inference(avatar_contradiction_clause,[status(thm)],[p823]) ).
fof(sdef187,definition,
( spl187
<=> def47 ),
introduced(definition,[new_symbols(naming,[spl187])],[avatar_definition]) ).
cnf(p432,plain,
( ~ spl187
| def47 ),
inference(avatar_component_clause,[status(thm)],[sdef187]) ).
fof(sdef186,definition,
( spl186
<=> ~ def47 ),
introduced(definition,[new_symbols(naming,[spl186])],[avatar_definition]) ).
cnf(p430,plain,
( ~ spl186
| ~ def47 ),
inference(avatar_component_clause,[status(thm)],[sdef186]) ).
cnf(p829,plain,
( ~ spl187
| ~ spl186
| $false ),
inference(resolution,[status(thm)],[p432,p430]) ).
cnf(sct46,plain,
( ~ spl187
| ~ spl186 ),
inference(avatar_contradiction_clause,[status(thm)],[p829]) ).
fof(sdef189,definition,
( spl189
<=> def48 ),
introduced(definition,[new_symbols(naming,[spl189])],[avatar_definition]) ).
cnf(p437,plain,
( ~ spl189
| def48 ),
inference(avatar_component_clause,[status(thm)],[sdef189]) ).
fof(sdef188,definition,
( spl188
<=> ~ def48 ),
introduced(definition,[new_symbols(naming,[spl188])],[avatar_definition]) ).
cnf(p435,plain,
( ~ spl188
| ~ def48 ),
inference(avatar_component_clause,[status(thm)],[sdef188]) ).
cnf(p836,plain,
( ~ spl189
| ~ spl188
| $false ),
inference(resolution,[status(thm)],[p437,p435]) ).
cnf(sct47,plain,
( ~ spl189
| ~ spl188 ),
inference(avatar_contradiction_clause,[status(thm)],[p836]) ).
fof(sdef191,definition,
( spl191
<=> def49 ),
introduced(definition,[new_symbols(naming,[spl191])],[avatar_definition]) ).
cnf(p443,plain,
( ~ spl191
| def49 ),
inference(avatar_component_clause,[status(thm)],[sdef191]) ).
fof(sdef190,definition,
( spl190
<=> ~ def49 ),
introduced(definition,[new_symbols(naming,[spl190])],[avatar_definition]) ).
cnf(p440,plain,
( ~ spl190
| ~ def49 ),
inference(avatar_component_clause,[status(thm)],[sdef190]) ).
cnf(p837,plain,
( ~ spl191
| ~ spl190
| $false ),
inference(resolution,[status(thm)],[p443,p440]) ).
cnf(sct48,plain,
( ~ spl191
| ~ spl190 ),
inference(avatar_contradiction_clause,[status(thm)],[p837]) ).
fof(sdef193,definition,
( spl193
<=> def50 ),
introduced(definition,[new_symbols(naming,[spl193])],[avatar_definition]) ).
cnf(p447,plain,
( ~ spl193
| def50 ),
inference(avatar_component_clause,[status(thm)],[sdef193]) ).
fof(sdef192,definition,
( spl192
<=> ~ def50 ),
introduced(definition,[new_symbols(naming,[spl192])],[avatar_definition]) ).
cnf(p445,plain,
( ~ spl192
| ~ def50 ),
inference(avatar_component_clause,[status(thm)],[sdef192]) ).
cnf(p838,plain,
( ~ spl193
| ~ spl192
| $false ),
inference(resolution,[status(thm)],[p447,p445]) ).
cnf(sct49,plain,
( ~ spl193
| ~ spl192 ),
inference(avatar_contradiction_clause,[status(thm)],[p838]) ).
fof(sdef195,definition,
( spl195
<=> def51 ),
introduced(definition,[new_symbols(naming,[spl195])],[avatar_definition]) ).
cnf(p453,plain,
( ~ spl195
| def51 ),
inference(avatar_component_clause,[status(thm)],[sdef195]) ).
fof(sdef194,definition,
( spl194
<=> ~ def51 ),
introduced(definition,[new_symbols(naming,[spl194])],[avatar_definition]) ).
cnf(p450,plain,
( ~ spl194
| ~ def51 ),
inference(avatar_component_clause,[status(thm)],[sdef194]) ).
cnf(p839,plain,
( ~ spl195
| ~ spl194
| $false ),
inference(resolution,[status(thm)],[p453,p450]) ).
cnf(sct50,plain,
( ~ spl195
| ~ spl194 ),
inference(avatar_contradiction_clause,[status(thm)],[p839]) ).
fof(sdef197,definition,
( spl197
<=> def52 ),
introduced(definition,[new_symbols(naming,[spl197])],[avatar_definition]) ).
cnf(p457,plain,
( ~ spl197
| def52 ),
inference(avatar_component_clause,[status(thm)],[sdef197]) ).
fof(sdef196,definition,
( spl196
<=> ~ def52 ),
introduced(definition,[new_symbols(naming,[spl196])],[avatar_definition]) ).
cnf(p455,plain,
( ~ spl196
| ~ def52 ),
inference(avatar_component_clause,[status(thm)],[sdef196]) ).
cnf(p842,plain,
( ~ spl197
| ~ spl196
| $false ),
inference(resolution,[status(thm)],[p457,p455]) ).
cnf(sct51,plain,
( ~ spl197
| ~ spl196 ),
inference(avatar_contradiction_clause,[status(thm)],[p842]) ).
fof(sdef199,definition,
( spl199
<=> def53 ),
introduced(definition,[new_symbols(naming,[spl199])],[avatar_definition]) ).
cnf(p463,plain,
( ~ spl199
| def53 ),
inference(avatar_component_clause,[status(thm)],[sdef199]) ).
fof(sdef198,definition,
( spl198
<=> ~ def53 ),
introduced(definition,[new_symbols(naming,[spl198])],[avatar_definition]) ).
cnf(p460,plain,
( ~ spl198
| ~ def53 ),
inference(avatar_component_clause,[status(thm)],[sdef198]) ).
cnf(p843,plain,
( ~ spl199
| ~ spl198
| $false ),
inference(resolution,[status(thm)],[p463,p460]) ).
cnf(sct52,plain,
( ~ spl199
| ~ spl198 ),
inference(avatar_contradiction_clause,[status(thm)],[p843]) ).
fof(sdef201,definition,
( spl201
<=> def54 ),
introduced(definition,[new_symbols(naming,[spl201])],[avatar_definition]) ).
cnf(p467,plain,
( ~ spl201
| def54 ),
inference(avatar_component_clause,[status(thm)],[sdef201]) ).
fof(sdef200,definition,
( spl200
<=> ~ def54 ),
introduced(definition,[new_symbols(naming,[spl200])],[avatar_definition]) ).
cnf(p465,plain,
( ~ spl200
| ~ def54 ),
inference(avatar_component_clause,[status(thm)],[sdef200]) ).
cnf(p848,plain,
( ~ spl201
| ~ spl200
| $false ),
inference(resolution,[status(thm)],[p467,p465]) ).
cnf(sct53,plain,
( ~ spl201
| ~ spl200 ),
inference(avatar_contradiction_clause,[status(thm)],[p848]) ).
fof(sdef203,definition,
( spl203
<=> def55 ),
introduced(definition,[new_symbols(naming,[spl203])],[avatar_definition]) ).
cnf(p473,plain,
( ~ spl203
| def55 ),
inference(avatar_component_clause,[status(thm)],[sdef203]) ).
fof(sdef202,definition,
( spl202
<=> ~ def55 ),
introduced(definition,[new_symbols(naming,[spl202])],[avatar_definition]) ).
cnf(p470,plain,
( ~ spl202
| ~ def55 ),
inference(avatar_component_clause,[status(thm)],[sdef202]) ).
cnf(p849,plain,
( ~ spl203
| ~ spl202
| $false ),
inference(resolution,[status(thm)],[p473,p470]) ).
cnf(sct54,plain,
( ~ spl203
| ~ spl202 ),
inference(avatar_contradiction_clause,[status(thm)],[p849]) ).
fof(sdef205,definition,
( spl205
<=> def56 ),
introduced(definition,[new_symbols(naming,[spl205])],[avatar_definition]) ).
cnf(p477,plain,
( ~ spl205
| def56 ),
inference(avatar_component_clause,[status(thm)],[sdef205]) ).
fof(sdef204,definition,
( spl204
<=> ~ def56 ),
introduced(definition,[new_symbols(naming,[spl204])],[avatar_definition]) ).
cnf(p475,plain,
( ~ spl204
| ~ def56 ),
inference(avatar_component_clause,[status(thm)],[sdef204]) ).
cnf(p856,plain,
( ~ spl205
| ~ spl204
| $false ),
inference(resolution,[status(thm)],[p477,p475]) ).
cnf(sct55,plain,
( ~ spl205
| ~ spl204 ),
inference(avatar_contradiction_clause,[status(thm)],[p856]) ).
fof(sdef207,definition,
( spl207
<=> def57 ),
introduced(definition,[new_symbols(naming,[spl207])],[avatar_definition]) ).
cnf(p483,plain,
( ~ spl207
| def57 ),
inference(avatar_component_clause,[status(thm)],[sdef207]) ).
fof(sdef206,definition,
( spl206
<=> ~ def57 ),
introduced(definition,[new_symbols(naming,[spl206])],[avatar_definition]) ).
cnf(p480,plain,
( ~ spl206
| ~ def57 ),
inference(avatar_component_clause,[status(thm)],[sdef206]) ).
cnf(p857,plain,
( ~ spl207
| ~ spl206
| $false ),
inference(resolution,[status(thm)],[p483,p480]) ).
cnf(sct56,plain,
( ~ spl207
| ~ spl206 ),
inference(avatar_contradiction_clause,[status(thm)],[p857]) ).
fof(sdef209,definition,
( spl209
<=> def58 ),
introduced(definition,[new_symbols(naming,[spl209])],[avatar_definition]) ).
cnf(p487,plain,
( ~ spl209
| def58 ),
inference(avatar_component_clause,[status(thm)],[sdef209]) ).
fof(sdef208,definition,
( spl208
<=> ~ def58 ),
introduced(definition,[new_symbols(naming,[spl208])],[avatar_definition]) ).
cnf(p485,plain,
( ~ spl208
| ~ def58 ),
inference(avatar_component_clause,[status(thm)],[sdef208]) ).
cnf(p858,plain,
( ~ spl209
| ~ spl208
| $false ),
inference(resolution,[status(thm)],[p487,p485]) ).
cnf(sct57,plain,
( ~ spl209
| ~ spl208 ),
inference(avatar_contradiction_clause,[status(thm)],[p858]) ).
fof(sdef211,definition,
( spl211
<=> def59 ),
introduced(definition,[new_symbols(naming,[spl211])],[avatar_definition]) ).
cnf(p493,plain,
( ~ spl211
| def59 ),
inference(avatar_component_clause,[status(thm)],[sdef211]) ).
fof(sdef210,definition,
( spl210
<=> ~ def59 ),
introduced(definition,[new_symbols(naming,[spl210])],[avatar_definition]) ).
cnf(p490,plain,
( ~ spl210
| ~ def59 ),
inference(avatar_component_clause,[status(thm)],[sdef210]) ).
cnf(p859,plain,
( ~ spl211
| ~ spl210
| $false ),
inference(resolution,[status(thm)],[p493,p490]) ).
cnf(sct58,plain,
( ~ spl211
| ~ spl210 ),
inference(avatar_contradiction_clause,[status(thm)],[p859]) ).
fof(sdef213,definition,
( spl213
<=> def60 ),
introduced(definition,[new_symbols(naming,[spl213])],[avatar_definition]) ).
cnf(p497,plain,
( ~ spl213
| def60 ),
inference(avatar_component_clause,[status(thm)],[sdef213]) ).
fof(sdef212,definition,
( spl212
<=> ~ def60 ),
introduced(definition,[new_symbols(naming,[spl212])],[avatar_definition]) ).
cnf(p495,plain,
( ~ spl212
| ~ def60 ),
inference(avatar_component_clause,[status(thm)],[sdef212]) ).
cnf(p862,plain,
( ~ spl213
| ~ spl212
| $false ),
inference(resolution,[status(thm)],[p497,p495]) ).
cnf(sct59,plain,
( ~ spl213
| ~ spl212 ),
inference(avatar_contradiction_clause,[status(thm)],[p862]) ).
fof(sdef215,definition,
( spl215
<=> def61 ),
introduced(definition,[new_symbols(naming,[spl215])],[avatar_definition]) ).
cnf(p503,plain,
( ~ spl215
| def61 ),
inference(avatar_component_clause,[status(thm)],[sdef215]) ).
fof(sdef214,definition,
( spl214
<=> ~ def61 ),
introduced(definition,[new_symbols(naming,[spl214])],[avatar_definition]) ).
cnf(p500,plain,
( ~ spl214
| ~ def61 ),
inference(avatar_component_clause,[status(thm)],[sdef214]) ).
cnf(p863,plain,
( ~ spl215
| ~ spl214
| $false ),
inference(resolution,[status(thm)],[p503,p500]) ).
cnf(sct60,plain,
( ~ spl215
| ~ spl214 ),
inference(avatar_contradiction_clause,[status(thm)],[p863]) ).
fof(sdef217,definition,
( spl217
<=> def62 ),
introduced(definition,[new_symbols(naming,[spl217])],[avatar_definition]) ).
cnf(p507,plain,
( ~ spl217
| def62 ),
inference(avatar_component_clause,[status(thm)],[sdef217]) ).
fof(sdef216,definition,
( spl216
<=> ~ def62 ),
introduced(definition,[new_symbols(naming,[spl216])],[avatar_definition]) ).
cnf(p505,plain,
( ~ spl216
| ~ def62 ),
inference(avatar_component_clause,[status(thm)],[sdef216]) ).
cnf(p868,plain,
( ~ spl217
| ~ spl216
| $false ),
inference(resolution,[status(thm)],[p507,p505]) ).
cnf(sct61,plain,
( ~ spl217
| ~ spl216 ),
inference(avatar_contradiction_clause,[status(thm)],[p868]) ).
fof(sdef219,definition,
( spl219
<=> def63 ),
introduced(definition,[new_symbols(naming,[spl219])],[avatar_definition]) ).
cnf(p512,plain,
( ~ spl219
| def63 ),
inference(avatar_component_clause,[status(thm)],[sdef219]) ).
fof(sdef218,definition,
( spl218
<=> ~ def63 ),
introduced(definition,[new_symbols(naming,[spl218])],[avatar_definition]) ).
cnf(p510,plain,
( ~ spl218
| ~ def63 ),
inference(avatar_component_clause,[status(thm)],[sdef218]) ).
cnf(p869,plain,
( ~ spl219
| ~ spl218
| $false ),
inference(resolution,[status(thm)],[p512,p510]) ).
cnf(sct62,plain,
( ~ spl219
| ~ spl218 ),
inference(avatar_contradiction_clause,[status(thm)],[p869]) ).
fof(sdef221,definition,
( spl221
<=> def64 ),
introduced(definition,[new_symbols(naming,[spl221])],[avatar_definition]) ).
cnf(p518,plain,
( ~ spl221
| def64 ),
inference(avatar_component_clause,[status(thm)],[sdef221]) ).
fof(sdef220,definition,
( spl220
<=> ~ def64 ),
introduced(definition,[new_symbols(naming,[spl220])],[avatar_definition]) ).
cnf(p515,plain,
( ~ spl220
| ~ def64 ),
inference(avatar_component_clause,[status(thm)],[sdef220]) ).
cnf(p876,plain,
( ~ spl221
| ~ spl220
| $false ),
inference(resolution,[status(thm)],[p518,p515]) ).
cnf(sct63,plain,
( ~ spl221
| ~ spl220 ),
inference(avatar_contradiction_clause,[status(thm)],[p876]) ).
fof(sdef223,definition,
( spl223
<=> def65 ),
introduced(definition,[new_symbols(naming,[spl223])],[avatar_definition]) ).
cnf(p522,plain,
( ~ spl223
| def65 ),
inference(avatar_component_clause,[status(thm)],[sdef223]) ).
fof(sdef222,definition,
( spl222
<=> ~ def65 ),
introduced(definition,[new_symbols(naming,[spl222])],[avatar_definition]) ).
cnf(p520,plain,
( ~ spl222
| ~ def65 ),
inference(avatar_component_clause,[status(thm)],[sdef222]) ).
cnf(p877,plain,
( ~ spl223
| ~ spl222
| $false ),
inference(resolution,[status(thm)],[p522,p520]) ).
cnf(sct64,plain,
( ~ spl223
| ~ spl222 ),
inference(avatar_contradiction_clause,[status(thm)],[p877]) ).
fof(sdef225,definition,
( spl225
<=> def66 ),
introduced(definition,[new_symbols(naming,[spl225])],[avatar_definition]) ).
cnf(p528,plain,
( ~ spl225
| def66 ),
inference(avatar_component_clause,[status(thm)],[sdef225]) ).
fof(sdef224,definition,
( spl224
<=> ~ def66 ),
introduced(definition,[new_symbols(naming,[spl224])],[avatar_definition]) ).
cnf(p525,plain,
( ~ spl224
| ~ def66 ),
inference(avatar_component_clause,[status(thm)],[sdef224]) ).
cnf(p878,plain,
( ~ spl225
| ~ spl224
| $false ),
inference(resolution,[status(thm)],[p528,p525]) ).
cnf(sct65,plain,
( ~ spl225
| ~ spl224 ),
inference(avatar_contradiction_clause,[status(thm)],[p878]) ).
fof(sdef227,definition,
( spl227
<=> def67 ),
introduced(definition,[new_symbols(naming,[spl227])],[avatar_definition]) ).
cnf(p532,plain,
( ~ spl227
| def67 ),
inference(avatar_component_clause,[status(thm)],[sdef227]) ).
fof(sdef226,definition,
( spl226
<=> ~ def67 ),
introduced(definition,[new_symbols(naming,[spl226])],[avatar_definition]) ).
cnf(p530,plain,
( ~ spl226
| ~ def67 ),
inference(avatar_component_clause,[status(thm)],[sdef226]) ).
cnf(p879,plain,
( ~ spl227
| ~ spl226
| $false ),
inference(resolution,[status(thm)],[p532,p530]) ).
cnf(sct66,plain,
( ~ spl227
| ~ spl226 ),
inference(avatar_contradiction_clause,[status(thm)],[p879]) ).
fof(sdef229,definition,
( spl229
<=> def68 ),
introduced(definition,[new_symbols(naming,[spl229])],[avatar_definition]) ).
cnf(p538,plain,
( ~ spl229
| def68 ),
inference(avatar_component_clause,[status(thm)],[sdef229]) ).
fof(sdef228,definition,
( spl228
<=> ~ def68 ),
introduced(definition,[new_symbols(naming,[spl228])],[avatar_definition]) ).
cnf(p535,plain,
( ~ spl228
| ~ def68 ),
inference(avatar_component_clause,[status(thm)],[sdef228]) ).
cnf(p882,plain,
( ~ spl229
| ~ spl228
| $false ),
inference(resolution,[status(thm)],[p538,p535]) ).
cnf(sct67,plain,
( ~ spl229
| ~ spl228 ),
inference(avatar_contradiction_clause,[status(thm)],[p882]) ).
fof(sdef231,definition,
( spl231
<=> def69 ),
introduced(definition,[new_symbols(naming,[spl231])],[avatar_definition]) ).
cnf(p542,plain,
( ~ spl231
| def69 ),
inference(avatar_component_clause,[status(thm)],[sdef231]) ).
fof(sdef230,definition,
( spl230
<=> ~ def69 ),
introduced(definition,[new_symbols(naming,[spl230])],[avatar_definition]) ).
cnf(p540,plain,
( ~ spl230
| ~ def69 ),
inference(avatar_component_clause,[status(thm)],[sdef230]) ).
cnf(p883,plain,
( ~ spl231
| ~ spl230
| $false ),
inference(resolution,[status(thm)],[p542,p540]) ).
cnf(sct68,plain,
( ~ spl231
| ~ spl230 ),
inference(avatar_contradiction_clause,[status(thm)],[p883]) ).
fof(sdef233,definition,
( spl233
<=> def70 ),
introduced(definition,[new_symbols(naming,[spl233])],[avatar_definition]) ).
cnf(p548,plain,
( ~ spl233
| def70 ),
inference(avatar_component_clause,[status(thm)],[sdef233]) ).
fof(sdef232,definition,
( spl232
<=> ~ def70 ),
introduced(definition,[new_symbols(naming,[spl232])],[avatar_definition]) ).
cnf(p545,plain,
( ~ spl232
| ~ def70 ),
inference(avatar_component_clause,[status(thm)],[sdef232]) ).
cnf(p888,plain,
( ~ spl233
| ~ spl232
| $false ),
inference(resolution,[status(thm)],[p548,p545]) ).
cnf(sct69,plain,
( ~ spl233
| ~ spl232 ),
inference(avatar_contradiction_clause,[status(thm)],[p888]) ).
fof(sdef235,definition,
( spl235
<=> def71 ),
introduced(definition,[new_symbols(naming,[spl235])],[avatar_definition]) ).
cnf(p552,plain,
( ~ spl235
| def71 ),
inference(avatar_component_clause,[status(thm)],[sdef235]) ).
fof(sdef234,definition,
( spl234
<=> ~ def71 ),
introduced(definition,[new_symbols(naming,[spl234])],[avatar_definition]) ).
cnf(p550,plain,
( ~ spl234
| ~ def71 ),
inference(avatar_component_clause,[status(thm)],[sdef234]) ).
cnf(p889,plain,
( ~ spl235
| ~ spl234
| $false ),
inference(resolution,[status(thm)],[p552,p550]) ).
cnf(sct70,plain,
( ~ spl235
| ~ spl234 ),
inference(avatar_contradiction_clause,[status(thm)],[p889]) ).
fof(sdef237,definition,
( spl237
<=> def72 ),
introduced(definition,[new_symbols(naming,[spl237])],[avatar_definition]) ).
cnf(p558,plain,
( ~ spl237
| def72 ),
inference(avatar_component_clause,[status(thm)],[sdef237]) ).
fof(sdef236,definition,
( spl236
<=> ~ def72 ),
introduced(definition,[new_symbols(naming,[spl236])],[avatar_definition]) ).
cnf(p555,plain,
( ~ spl236
| ~ def72 ),
inference(avatar_component_clause,[status(thm)],[sdef236]) ).
cnf(p896,plain,
( ~ spl237
| ~ spl236
| $false ),
inference(resolution,[status(thm)],[p558,p555]) ).
cnf(sct71,plain,
( ~ spl237
| ~ spl236 ),
inference(avatar_contradiction_clause,[status(thm)],[p896]) ).
fof(sdef239,definition,
( spl239
<=> def73 ),
introduced(definition,[new_symbols(naming,[spl239])],[avatar_definition]) ).
cnf(p562,plain,
( ~ spl239
| def73 ),
inference(avatar_component_clause,[status(thm)],[sdef239]) ).
fof(sdef238,definition,
( spl238
<=> ~ def73 ),
introduced(definition,[new_symbols(naming,[spl238])],[avatar_definition]) ).
cnf(p560,plain,
( ~ spl238
| ~ def73 ),
inference(avatar_component_clause,[status(thm)],[sdef238]) ).
cnf(p897,plain,
( ~ spl239
| ~ spl238
| $false ),
inference(resolution,[status(thm)],[p562,p560]) ).
cnf(sct72,plain,
( ~ spl239
| ~ spl238 ),
inference(avatar_contradiction_clause,[status(thm)],[p897]) ).
fof(sdef241,definition,
( spl241
<=> def74 ),
introduced(definition,[new_symbols(naming,[spl241])],[avatar_definition]) ).
cnf(p568,plain,
( ~ spl241
| def74 ),
inference(avatar_component_clause,[status(thm)],[sdef241]) ).
fof(sdef240,definition,
( spl240
<=> ~ def74 ),
introduced(definition,[new_symbols(naming,[spl240])],[avatar_definition]) ).
cnf(p565,plain,
( ~ spl240
| ~ def74 ),
inference(avatar_component_clause,[status(thm)],[sdef240]) ).
cnf(p898,plain,
( ~ spl241
| ~ spl240
| $false ),
inference(resolution,[status(thm)],[p568,p565]) ).
cnf(sct73,plain,
( ~ spl241
| ~ spl240 ),
inference(avatar_contradiction_clause,[status(thm)],[p898]) ).
fof(sdef243,definition,
( spl243
<=> def75 ),
introduced(definition,[new_symbols(naming,[spl243])],[avatar_definition]) ).
cnf(p572,plain,
( ~ spl243
| def75 ),
inference(avatar_component_clause,[status(thm)],[sdef243]) ).
fof(sdef242,definition,
( spl242
<=> ~ def75 ),
introduced(definition,[new_symbols(naming,[spl242])],[avatar_definition]) ).
cnf(p570,plain,
( ~ spl242
| ~ def75 ),
inference(avatar_component_clause,[status(thm)],[sdef242]) ).
cnf(p899,plain,
( ~ spl243
| ~ spl242
| $false ),
inference(resolution,[status(thm)],[p572,p570]) ).
cnf(sct74,plain,
( ~ spl243
| ~ spl242 ),
inference(avatar_contradiction_clause,[status(thm)],[p899]) ).
fof(sdef245,definition,
( spl245
<=> def76 ),
introduced(definition,[new_symbols(naming,[spl245])],[avatar_definition]) ).
cnf(p578,plain,
( ~ spl245
| def76 ),
inference(avatar_component_clause,[status(thm)],[sdef245]) ).
fof(sdef244,definition,
( spl244
<=> ~ def76 ),
introduced(definition,[new_symbols(naming,[spl244])],[avatar_definition]) ).
cnf(p575,plain,
( ~ spl244
| ~ def76 ),
inference(avatar_component_clause,[status(thm)],[sdef244]) ).
cnf(p902,plain,
( ~ spl245
| ~ spl244
| $false ),
inference(resolution,[status(thm)],[p578,p575]) ).
cnf(sct75,plain,
( ~ spl245
| ~ spl244 ),
inference(avatar_contradiction_clause,[status(thm)],[p902]) ).
fof(sdef247,definition,
( spl247
<=> def77 ),
introduced(definition,[new_symbols(naming,[spl247])],[avatar_definition]) ).
cnf(p582,plain,
( ~ spl247
| def77 ),
inference(avatar_component_clause,[status(thm)],[sdef247]) ).
fof(sdef246,definition,
( spl246
<=> ~ def77 ),
introduced(definition,[new_symbols(naming,[spl246])],[avatar_definition]) ).
cnf(p580,plain,
( ~ spl246
| ~ def77 ),
inference(avatar_component_clause,[status(thm)],[sdef246]) ).
cnf(p903,plain,
( ~ spl247
| ~ spl246
| $false ),
inference(resolution,[status(thm)],[p582,p580]) ).
cnf(sct76,plain,
( ~ spl247
| ~ spl246 ),
inference(avatar_contradiction_clause,[status(thm)],[p903]) ).
fof(sdef249,definition,
( spl249
<=> def78 ),
introduced(definition,[new_symbols(naming,[spl249])],[avatar_definition]) ).
cnf(p587,plain,
( ~ spl249
| def78 ),
inference(avatar_component_clause,[status(thm)],[sdef249]) ).
fof(sdef248,definition,
( spl248
<=> ~ def78 ),
introduced(definition,[new_symbols(naming,[spl248])],[avatar_definition]) ).
cnf(p585,plain,
( ~ spl248
| ~ def78 ),
inference(avatar_component_clause,[status(thm)],[sdef248]) ).
cnf(p908,plain,
( ~ spl249
| ~ spl248
| $false ),
inference(resolution,[status(thm)],[p587,p585]) ).
cnf(sct77,plain,
( ~ spl249
| ~ spl248 ),
inference(avatar_contradiction_clause,[status(thm)],[p908]) ).
fof(sdef251,definition,
( spl251
<=> def79 ),
introduced(definition,[new_symbols(naming,[spl251])],[avatar_definition]) ).
cnf(p592,plain,
( ~ spl251
| def79 ),
inference(avatar_component_clause,[status(thm)],[sdef251]) ).
fof(sdef250,definition,
( spl250
<=> ~ def79 ),
introduced(definition,[new_symbols(naming,[spl250])],[avatar_definition]) ).
cnf(p590,plain,
( ~ spl250
| ~ def79 ),
inference(avatar_component_clause,[status(thm)],[sdef250]) ).
cnf(p909,plain,
( ~ spl251
| ~ spl250
| $false ),
inference(resolution,[status(thm)],[p592,p590]) ).
cnf(sct78,plain,
( ~ spl251
| ~ spl250 ),
inference(avatar_contradiction_clause,[status(thm)],[p909]) ).
fof(sdef253,definition,
( spl253
<=> def80 ),
introduced(definition,[new_symbols(naming,[spl253])],[avatar_definition]) ).
cnf(p598,plain,
( ~ spl253
| def80 ),
inference(avatar_component_clause,[status(thm)],[sdef253]) ).
fof(sdef252,definition,
( spl252
<=> ~ def80 ),
introduced(definition,[new_symbols(naming,[spl252])],[avatar_definition]) ).
cnf(p595,plain,
( ~ spl252
| ~ def80 ),
inference(avatar_component_clause,[status(thm)],[sdef252]) ).
cnf(p916,plain,
( ~ spl253
| ~ spl252
| $false ),
inference(resolution,[status(thm)],[p598,p595]) ).
cnf(sct79,plain,
( ~ spl253
| ~ spl252 ),
inference(avatar_contradiction_clause,[status(thm)],[p916]) ).
fof(sdef255,definition,
( spl255
<=> def81 ),
introduced(definition,[new_symbols(naming,[spl255])],[avatar_definition]) ).
cnf(p602,plain,
( ~ spl255
| def81 ),
inference(avatar_component_clause,[status(thm)],[sdef255]) ).
fof(sdef254,definition,
( spl254
<=> ~ def81 ),
introduced(definition,[new_symbols(naming,[spl254])],[avatar_definition]) ).
cnf(p600,plain,
( ~ spl254
| ~ def81 ),
inference(avatar_component_clause,[status(thm)],[sdef254]) ).
cnf(p917,plain,
( ~ spl255
| ~ spl254
| $false ),
inference(resolution,[status(thm)],[p602,p600]) ).
cnf(sct80,plain,
( ~ spl255
| ~ spl254 ),
inference(avatar_contradiction_clause,[status(thm)],[p917]) ).
fof(f4,axiom,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& ( ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e2) = e3
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e1,e1) = e3
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f4_nnf,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& ( ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e2) = e3
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e1,e1) = e3
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& ( ( op(e3,e3) = e3
& op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e2) = e3
& op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e1,e1) = e3
& op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e0,e0) = e3
& op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e3,e3) = e2
& op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e1) = e2
& op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e0,e0) = e2
& op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e3,e3) = e1
& op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e2,e2) = e1
& op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e0) = e1
& op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e3,e3) = e0
& op(e0,e3) != e0
& op(e0,e0) = e3 )
| ( op(e2,e2) = e0
& op(e0,e2) != e0
& op(e0,e0) = e2 )
| ( op(e1,e1) = e0
& op(e0,e1) != e0
& op(e0,e0) = e1 )
| ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c432,plain,
( def46
| ~ 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])],[f4_sk]) ).
cnf(c435,plain,
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])],[f4_sk]) ).
cnf(p946,plain,
def46,
inference(resolution,[status(thm)],[c432,c435]) ).
fof(sdef184,definition,
( spl184
<=> ~ def46 ),
introduced(definition,[new_symbols(naming,[spl184])],[avatar_definition]) ).
cnf(p425,plain,
( ~ spl184
| ~ def46 ),
inference(avatar_component_clause,[status(thm)],[sdef184]) ).
cnf(p951,plain,
( ~ spl184
| $false ),
inference(resolution,[status(thm)],[p946,p425]) ).
cnf(sct81,plain,
~ spl184,
inference(avatar_contradiction_clause,[status(thm)],[p951]) ).
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(p721,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/sandbox2/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(p978,plain,
( ~ spl1
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p721,c96]) ).
cnf(sct82,plain,
( ~ spl1
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p978]) ).
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(p725,plain,
( ~ spl2
| ~ spl0
| e0 = e2 ),
inference(superposition,[status(thm)],[p1,p3]) ).
cnf(c97,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p999,plain,
( ~ spl2
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p725,c97]) ).
cnf(sct83,plain,
( ~ spl2
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p999]) ).
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(p731,plain,
( ~ spl3
| ~ spl0
| e0 = e3 ),
inference(superposition,[status(thm)],[p1,p4]) ).
cnf(c98,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1016,plain,
( ~ spl3
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p731,c98]) ).
cnf(sct84,plain,
( ~ spl3
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p1016]) ).
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(p741,plain,
( ~ spl5
| ~ spl4
| e0 = e1 ),
inference(superposition,[status(thm)],[p6,p7]) ).
cnf(p1043,plain,
( ~ spl5
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p741,c96]) ).
cnf(sct85,plain,
( ~ spl5
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1043]) ).
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(p745,plain,
( ~ spl6
| ~ spl4
| e0 = e2 ),
inference(superposition,[status(thm)],[p6,p8]) ).
cnf(p1068,plain,
( ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p745,c97]) ).
cnf(sct86,plain,
( ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1068]) ).
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(p751,plain,
( ~ spl7
| ~ spl4
| e0 = e3 ),
inference(superposition,[status(thm)],[p6,p9]) ).
cnf(p1094,plain,
( ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p751,c98]) ).
cnf(sct87,plain,
( ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p1094]) ).
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(p761,plain,
( ~ spl9
| ~ spl8
| e0 = e1 ),
inference(superposition,[status(thm)],[p11,p12]) ).
cnf(p1118,plain,
( ~ spl9
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p761,c96]) ).
cnf(sct88,plain,
( ~ spl9
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1118]) ).
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(p767,plain,
( ~ spl10
| ~ spl9
| e1 = e2 ),
inference(superposition,[status(thm)],[p12,p13]) ).
cnf(c99,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1148,plain,
( ~ spl10
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p767,c99]) ).
cnf(sct89,plain,
( ~ spl10
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1148]) ).
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(p773,plain,
( ~ spl11
| ~ spl9
| e1 = e3 ),
inference(superposition,[status(thm)],[p12,p14]) ).
cnf(c100,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1171,plain,
( ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p773,c100]) ).
cnf(sct90,plain,
( ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1171]) ).
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(p781,plain,
( ~ spl13
| ~ spl12
| e0 = e1 ),
inference(superposition,[status(thm)],[p16,p17]) ).
cnf(p1196,plain,
( ~ spl13
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p781,c96]) ).
cnf(sct91,plain,
( ~ spl13
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1196]) ).
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(p785,plain,
( ~ spl14
| ~ spl12
| e0 = e2 ),
inference(superposition,[status(thm)],[p16,p18]) ).
cnf(p1219,plain,
( ~ spl14
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p785,c97]) ).
cnf(sct92,plain,
( ~ spl14
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1219]) ).
cnf(p787,plain,
( ~ spl14
| ~ spl13
| e1 = e2 ),
inference(superposition,[status(thm)],[p17,p18]) ).
cnf(p1246,plain,
( ~ spl14
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p787,c99]) ).
cnf(sct93,plain,
( ~ spl14
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p1246]) ).
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(p795,plain,
( ~ spl15
| ~ spl14
| e2 = e3 ),
inference(superposition,[status(thm)],[p18,p19]) ).
cnf(c101,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1267,plain,
( ~ spl15
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p795,c101]) ).
cnf(sct94,plain,
( ~ spl15
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p1267]) ).
cnf(p765,plain,
( ~ spl10
| ~ spl8
| e0 = e2 ),
inference(superposition,[status(thm)],[p11,p13]) ).
cnf(p1297,plain,
( ~ spl10
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p765,c97]) ).
cnf(sct95,plain,
( ~ spl10
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1297]) ).
cnf(p775,plain,
( ~ spl11
| ~ spl10
| e2 = e3 ),
inference(superposition,[status(thm)],[p13,p14]) ).
cnf(p1319,plain,
( ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p775,c101]) ).
cnf(sct96,plain,
( ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p1319]) ).
cnf(p793,plain,
( ~ spl15
| ~ spl13
| e1 = e3 ),
inference(superposition,[status(thm)],[p17,p19]) ).
cnf(p1349,plain,
( ~ spl15
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p793,c100]) ).
cnf(sct97,plain,
( ~ spl15
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p1349]) ).
cnf(p747,plain,
( ~ spl6
| ~ spl5
| e1 = e2 ),
inference(superposition,[status(thm)],[p7,p8]) ).
cnf(p1377,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p747,c99]) ).
cnf(sct98,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p1377]) ).
cnf(p753,plain,
( ~ spl7
| ~ spl5
| e1 = e3 ),
inference(superposition,[status(thm)],[p7,p9]) ).
cnf(p1402,plain,
( ~ spl7
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p753,c100]) ).
cnf(sct99,plain,
( ~ spl7
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p1402]) ).
cnf(p771,plain,
( ~ spl11
| ~ spl8
| e0 = e3 ),
inference(superposition,[status(thm)],[p11,p14]) ).
cnf(p1426,plain,
( ~ spl11
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p771,c98]) ).
cnf(sct100,plain,
( ~ spl11
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1426]) ).
cnf(p755,plain,
( ~ spl7
| ~ spl6
| e2 = e3 ),
inference(superposition,[status(thm)],[p8,p9]) ).
cnf(p1453,plain,
( ~ spl7
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p755,c101]) ).
cnf(sct101,plain,
( ~ spl7
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1453]) ).
cnf(p791,plain,
( ~ spl15
| ~ spl12
| e0 = e3 ),
inference(superposition,[status(thm)],[p16,p19]) ).
cnf(p1478,plain,
( ~ spl15
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p791,c98]) ).
cnf(sct102,plain,
( ~ spl15
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1478]) ).
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(p801,plain,
( ~ spl17
| ~ spl16
| e0 = e1 ),
inference(superposition,[status(thm)],[p21,p22]) ).
cnf(p1508,plain,
( ~ spl17
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p801,c96]) ).
cnf(sct103,plain,
( ~ spl17
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1508]) ).
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(p807,plain,
( ~ spl18
| ~ spl17
| e1 = e2 ),
inference(superposition,[status(thm)],[p22,p23]) ).
cnf(p1533,plain,
( ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p807,c99]) ).
cnf(sct104,plain,
( ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1533]) ).
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(p813,plain,
( ~ spl19
| ~ spl17
| e1 = e3 ),
inference(superposition,[status(thm)],[p22,p24]) ).
cnf(p1565,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p813,c100]) ).
cnf(sct105,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1565]) ).
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(p821,plain,
( ~ spl21
| ~ spl20
| e0 = e1 ),
inference(superposition,[status(thm)],[p26,p27]) ).
cnf(p1588,plain,
( ~ spl21
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p821,c96]) ).
cnf(sct106,plain,
( ~ spl21
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1588]) ).
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(p825,plain,
( ~ spl22
| ~ spl20
| e0 = e2 ),
inference(superposition,[status(thm)],[p26,p28]) ).
cnf(p1618,plain,
( ~ spl22
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p825,c97]) ).
cnf(sct107,plain,
( ~ spl22
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1618]) ).
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(p831,plain,
( ~ spl23
| ~ spl20
| e0 = e3 ),
inference(superposition,[status(thm)],[p26,p29]) ).
cnf(p1647,plain,
( ~ spl23
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p831,c98]) ).
cnf(sct108,plain,
( ~ spl23
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1647]) ).
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(p841,plain,
( ~ spl25
| ~ spl24
| e0 = e1 ),
inference(superposition,[status(thm)],[p31,p32]) ).
cnf(p1673,plain,
( ~ spl25
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p841,c96]) ).
cnf(sct109,plain,
( ~ spl25
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p1673]) ).
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(p847,plain,
( ~ spl26
| ~ spl25
| e1 = e2 ),
inference(superposition,[status(thm)],[p32,p33]) ).
cnf(p1696,plain,
( ~ spl26
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p847,c99]) ).
cnf(sct110,plain,
( ~ spl26
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p1696]) ).
cnf(p845,plain,
( ~ spl26
| ~ spl24
| e0 = e2 ),
inference(superposition,[status(thm)],[p31,p33]) ).
cnf(p1728,plain,
( ~ spl26
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p845,c97]) ).
cnf(sct111,plain,
( ~ spl26
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p1728]) ).
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(p855,plain,
( ~ spl27
| ~ spl26
| e2 = e3 ),
inference(superposition,[status(thm)],[p33,p34]) ).
cnf(p1753,plain,
( ~ spl27
| ~ spl26
| $false ),
inference(resolution,[status(thm)],[p855,c101]) ).
cnf(sct112,plain,
( ~ spl27
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p1753]) ).
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(p861,plain,
( ~ spl29
| ~ spl28
| e0 = e1 ),
inference(superposition,[status(thm)],[p36,p37]) ).
cnf(p1776,plain,
( ~ spl29
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p861,c96]) ).
cnf(sct113,plain,
( ~ spl29
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p1776]) ).
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(p867,plain,
( ~ spl30
| ~ spl29
| e1 = e2 ),
inference(superposition,[status(thm)],[p37,p38]) ).
cnf(p1799,plain,
( ~ spl30
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p867,c99]) ).
cnf(sct114,plain,
( ~ spl30
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p1799]) ).
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(p873,plain,
( ~ spl31
| ~ spl29
| e1 = e3 ),
inference(superposition,[status(thm)],[p37,p39]) ).
cnf(p1828,plain,
( ~ spl31
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p873,c100]) ).
cnf(sct115,plain,
( ~ spl31
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p1828]) ).
cnf(p865,plain,
( ~ spl30
| ~ spl28
| e0 = e2 ),
inference(superposition,[status(thm)],[p36,p38]) ).
cnf(p1855,plain,
( ~ spl30
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p865,c97]) ).
cnf(sct116,plain,
( ~ spl30
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p1855]) ).
cnf(p875,plain,
( ~ spl31
| ~ spl30
| e2 = e3 ),
inference(superposition,[status(thm)],[p38,p39]) ).
cnf(p1888,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p875,c101]) ).
cnf(sct117,plain,
( ~ spl31
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p1888]) ).
cnf(p871,plain,
( ~ spl31
| ~ spl28
| e0 = e3 ),
inference(superposition,[status(thm)],[p36,p39]) ).
cnf(p1917,plain,
( ~ spl31
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p871,c98]) ).
cnf(sct118,plain,
( ~ spl31
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p1917]) ).
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(p881,plain,
( ~ spl33
| ~ spl32
| e0 = e1 ),
inference(superposition,[status(thm)],[p41,p42]) ).
cnf(p1933,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p881,c96]) ).
cnf(sct119,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p1933]) ).
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(p887,plain,
( ~ spl34
| ~ spl33
| e1 = e2 ),
inference(superposition,[status(thm)],[p42,p43]) ).
cnf(p1956,plain,
( ~ spl34
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p887,c99]) ).
cnf(sct120,plain,
( ~ spl34
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p1956]) ).
cnf(p885,plain,
( ~ spl34
| ~ spl32
| e0 = e2 ),
inference(superposition,[status(thm)],[p41,p43]) ).
cnf(p1987,plain,
( ~ spl34
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p885,c97]) ).
cnf(sct121,plain,
( ~ spl34
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p1987]) ).
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(p895,plain,
( ~ spl35
| ~ spl34
| e2 = e3 ),
inference(superposition,[status(thm)],[p43,p44]) ).
cnf(p2009,plain,
( ~ spl35
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p895,c101]) ).
cnf(sct122,plain,
( ~ spl35
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p2009]) ).
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(p901,plain,
( ~ spl37
| ~ spl36
| e0 = e1 ),
inference(superposition,[status(thm)],[p46,p47]) ).
cnf(p2030,plain,
( ~ spl37
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p901,c96]) ).
cnf(sct123,plain,
( ~ spl37
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p2030]) ).
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(p907,plain,
( ~ spl38
| ~ spl37
| e1 = e2 ),
inference(superposition,[status(thm)],[p47,p48]) ).
cnf(p2052,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p907,c99]) ).
cnf(sct124,plain,
( ~ spl38
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2052]) ).
cnf(p905,plain,
( ~ spl38
| ~ spl36
| e0 = e2 ),
inference(superposition,[status(thm)],[p46,p48]) ).
cnf(p2080,plain,
( ~ spl38
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p905,c97]) ).
cnf(sct125,plain,
( ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p2080]) ).
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(p915,plain,
( ~ spl39
| ~ spl38
| e2 = e3 ),
inference(superposition,[status(thm)],[p48,p49]) ).
cnf(p2103,plain,
( ~ spl39
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p915,c101]) ).
cnf(sct126,plain,
( ~ spl39
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p2103]) ).
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(p919,plain,
( ~ spl41
| ~ spl40
| e0 = e1 ),
inference(superposition,[status(thm)],[p51,p52]) ).
cnf(p2121,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p919,c96]) ).
cnf(sct127,plain,
( ~ spl41
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2121]) ).
cnf(p913,plain,
( ~ spl39
| ~ spl37
| e1 = e3 ),
inference(superposition,[status(thm)],[p47,p49]) ).
cnf(p2147,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p913,c100]) ).
cnf(sct128,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2147]) ).
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(p921,plain,
( ~ spl42
| ~ spl40
| e0 = e2 ),
inference(superposition,[status(thm)],[p51,p53]) ).
cnf(p2175,plain,
( ~ spl42
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p921,c97]) ).
cnf(sct129,plain,
( ~ spl42
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2175]) ).
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(p925,plain,
( ~ spl43
| ~ spl40
| e0 = e3 ),
inference(superposition,[status(thm)],[p51,p54]) ).
cnf(p2207,plain,
( ~ spl43
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p925,c98]) ).
cnf(sct130,plain,
( ~ spl43
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2207]) ).
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(p932,plain,
( ~ spl45
| ~ spl44
| e0 = e1 ),
inference(superposition,[status(thm)],[p56,p57]) ).
cnf(p2223,plain,
( ~ spl45
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p932,c96]) ).
cnf(sct131,plain,
( ~ spl45
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p2223]) ).
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(p934,plain,
( ~ spl46
| ~ spl44
| e0 = e2 ),
inference(superposition,[status(thm)],[p56,p58]) ).
cnf(p2241,plain,
( ~ spl46
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p934,c97]) ).
cnf(sct132,plain,
( ~ spl46
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p2241]) ).
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(p938,plain,
( ~ spl47
| ~ spl44
| e0 = e3 ),
inference(superposition,[status(thm)],[p56,p59]) ).
cnf(p2272,plain,
( ~ spl47
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p938,c98]) ).
cnf(sct133,plain,
( ~ spl47
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p2272]) ).
cnf(p936,plain,
( ~ spl46
| ~ spl45
| e1 = e2 ),
inference(superposition,[status(thm)],[p57,p58]) ).
cnf(p2287,plain,
( ~ spl46
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p936,c99]) ).
cnf(sct134,plain,
( ~ spl46
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p2287]) ).
cnf(p940,plain,
( ~ spl47
| ~ spl45
| e1 = e3 ),
inference(superposition,[status(thm)],[p57,p59]) ).
cnf(p2318,plain,
( ~ spl47
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p940,c100]) ).
cnf(sct135,plain,
( ~ spl47
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p2318]) ).
cnf(p942,plain,
( ~ spl47
| ~ spl46
| e2 = e3 ),
inference(superposition,[status(thm)],[p58,p59]) ).
cnf(p2339,plain,
( ~ spl47
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p942,c101]) ).
cnf(sct136,plain,
( ~ spl47
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p2339]) ).
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]) ).
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(p944,plain,
( ~ spl49
| ~ spl48
| e0 = e1 ),
inference(superposition,[status(thm)],[p61,p62]) ).
cnf(p2353,plain,
( ~ spl49
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p944,c96]) ).
cnf(sct137,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p2353]) ).
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(p950,plain,
( ~ spl50
| ~ spl49
| e1 = e2 ),
inference(superposition,[status(thm)],[p62,p63]) ).
cnf(p2367,plain,
( ~ spl50
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p950,c99]) ).
cnf(sct138,plain,
( ~ spl50
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p2367]) ).
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(p958,plain,
( ~ spl51
| ~ spl50
| e2 = e3 ),
inference(superposition,[status(thm)],[p63,p64]) ).
cnf(p2392,plain,
( ~ spl51
| ~ spl50
| $false ),
inference(resolution,[status(thm)],[p958,c101]) ).
cnf(sct139,plain,
( ~ spl51
| ~ spl50 ),
inference(avatar_contradiction_clause,[status(thm)],[p2392]) ).
cnf(p956,plain,
( ~ spl51
| ~ spl49
| e1 = e3 ),
inference(superposition,[status(thm)],[p62,p64]) ).
cnf(p2416,plain,
( ~ spl51
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p956,c100]) ).
cnf(sct140,plain,
( ~ spl51
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p2416]) ).
cnf(p954,plain,
( ~ spl51
| ~ spl48
| e0 = e3 ),
inference(superposition,[status(thm)],[p61,p64]) ).
cnf(p2450,plain,
( ~ spl51
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p954,c98]) ).
cnf(sct141,plain,
( ~ spl51
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p2450]) ).
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]) ).
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(p1041,plain,
( ~ spl53
| ~ spl52
| e0 = e1 ),
inference(superposition,[status(thm)],[p66,p67]) ).
cnf(p2465,plain,
( ~ spl53
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1041,c96]) ).
cnf(sct142,plain,
( ~ spl53
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p2465]) ).
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(p1092,plain,
( ~ spl54
| ~ spl53
| e1 = e2 ),
inference(superposition,[status(thm)],[p67,p68]) ).
cnf(p2479,plain,
( ~ spl54
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p1092,c99]) ).
cnf(sct143,plain,
( ~ spl54
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p2479]) ).
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(p1147,plain,
( ~ spl55
| ~ spl54
| e2 = e3 ),
inference(superposition,[status(thm)],[p68,p69]) ).
cnf(p2497,plain,
( ~ spl55
| ~ spl54
| $false ),
inference(resolution,[status(thm)],[p1147,c101]) ).
cnf(sct144,plain,
( ~ spl55
| ~ spl54 ),
inference(avatar_contradiction_clause,[status(thm)],[p2497]) ).
cnf(p1145,plain,
( ~ spl55
| ~ spl53
| e1 = e3 ),
inference(superposition,[status(thm)],[p67,p69]) ).
cnf(p2522,plain,
( ~ spl55
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p1145,c100]) ).
cnf(sct145,plain,
( ~ spl55
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p2522]) ).
cnf(p1143,plain,
( ~ spl55
| ~ spl52
| e0 = e3 ),
inference(superposition,[status(thm)],[p66,p69]) ).
cnf(p2548,plain,
( ~ spl55
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1143,c98]) ).
cnf(sct146,plain,
( ~ spl55
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p2548]) ).
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]) ).
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(p1244,plain,
( ~ spl57
| ~ spl56
| e0 = e1 ),
inference(superposition,[status(thm)],[p71,p72]) ).
cnf(p2565,plain,
( ~ spl57
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1244,c96]) ).
cnf(sct147,plain,
( ~ spl57
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p2565]) ).
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(p1295,plain,
( ~ spl58
| ~ spl57
| e1 = e2 ),
inference(superposition,[status(thm)],[p72,p73]) ).
cnf(p2579,plain,
( ~ spl58
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p1295,c99]) ).
cnf(sct148,plain,
( ~ spl58
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p2579]) ).
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(p1347,plain,
( ~ spl59
| ~ spl58
| e2 = e3 ),
inference(superposition,[status(thm)],[p73,p74]) ).
cnf(p2598,plain,
( ~ spl59
| ~ spl58
| $false ),
inference(resolution,[status(thm)],[p1347,c101]) ).
cnf(sct149,plain,
( ~ spl59
| ~ spl58 ),
inference(avatar_contradiction_clause,[status(thm)],[p2598]) ).
cnf(p1345,plain,
( ~ spl59
| ~ spl57
| e1 = e3 ),
inference(superposition,[status(thm)],[p72,p74]) ).
cnf(p2617,plain,
( ~ spl59
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p1345,c100]) ).
cnf(sct150,plain,
( ~ spl59
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p2617]) ).
cnf(p1343,plain,
( ~ spl59
| ~ spl56
| e0 = e3 ),
inference(superposition,[status(thm)],[p71,p74]) ).
cnf(p2645,plain,
( ~ spl59
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1343,c98]) ).
cnf(sct151,plain,
( ~ spl59
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p2645]) ).
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]) ).
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(p1451,plain,
( ~ spl61
| ~ spl60
| e0 = e1 ),
inference(superposition,[status(thm)],[p76,p77]) ).
cnf(p2657,plain,
( ~ spl61
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1451,c96]) ).
cnf(sct152,plain,
( ~ spl61
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p2657]) ).
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(p1505,plain,
( ~ spl62
| ~ spl60
| e0 = e2 ),
inference(superposition,[status(thm)],[p76,p78]) ).
cnf(p2677,plain,
( ~ spl62
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1505,c97]) ).
cnf(sct153,plain,
( ~ spl62
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p2677]) ).
cnf(p911,plain,
( ~ spl39
| ~ spl36
| e0 = e3 ),
inference(superposition,[status(thm)],[p46,p49]) ).
cnf(p2699,plain,
( ~ spl39
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p911,c98]) ).
cnf(sct154,plain,
( ~ spl39
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p2699]) ).
cnf(p1090,plain,
( ~ spl54
| ~ spl52
| e0 = e2 ),
inference(superposition,[status(thm)],[p66,p68]) ).
cnf(p2717,plain,
( ~ spl54
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1090,c97]) ).
cnf(sct155,plain,
( ~ spl54
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p2717]) ).
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(p1559,plain,
( ~ spl63
| ~ spl60
| e0 = e3 ),
inference(superposition,[status(thm)],[p76,p79]) ).
cnf(p2742,plain,
( ~ spl63
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1559,c98]) ).
cnf(sct156,plain,
( ~ spl63
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p2742]) ).
cnf(p923,plain,
( ~ spl42
| ~ spl41
| e1 = e2 ),
inference(superposition,[status(thm)],[p52,p53]) ).
cnf(p2761,plain,
( ~ spl42
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p923,c99]) ).
cnf(sct157,plain,
( ~ spl42
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p2761]) ).
cnf(p927,plain,
( ~ spl43
| ~ spl41
| e1 = e3 ),
inference(superposition,[status(thm)],[p52,p54]) ).
cnf(p2780,plain,
( ~ spl43
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p927,c100]) ).
cnf(sct158,plain,
( ~ spl43
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p2780]) ).
cnf(p929,plain,
( ~ spl43
| ~ spl42
| e2 = e3 ),
inference(superposition,[status(thm)],[p53,p54]) ).
cnf(p2795,plain,
( ~ spl43
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p929,c101]) ).
cnf(sct159,plain,
( ~ spl43
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p2795]) ).
cnf(p1293,plain,
( ~ spl58
| ~ spl56
| e0 = e2 ),
inference(superposition,[status(thm)],[p71,p73]) ).
cnf(p2813,plain,
( ~ spl58
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1293,c97]) ).
cnf(sct160,plain,
( ~ spl58
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p2813]) ).
cnf(p1507,plain,
( ~ spl62
| ~ spl61
| e1 = e2 ),
inference(superposition,[status(thm)],[p77,p78]) ).
cnf(p2828,plain,
( ~ spl62
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p1507,c99]) ).
cnf(sct161,plain,
( ~ spl62
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p2828]) ).
cnf(p1561,plain,
( ~ spl63
| ~ spl61
| e1 = e3 ),
inference(superposition,[status(thm)],[p77,p79]) ).
cnf(p2848,plain,
( ~ spl63
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p1561,c100]) ).
cnf(sct162,plain,
( ~ spl63
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p2848]) ).
cnf(p1563,plain,
( ~ spl63
| ~ spl62
| e2 = e3 ),
inference(superposition,[status(thm)],[p78,p79]) ).
cnf(p2867,plain,
( ~ spl63
| ~ spl62
| $false ),
inference(resolution,[status(thm)],[p1563,c101]) ).
cnf(sct163,plain,
( ~ spl63
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p2867]) ).
cnf(p851,plain,
( ~ spl27
| ~ spl24
| e0 = e3 ),
inference(superposition,[status(thm)],[p31,p34]) ).
cnf(p2894,plain,
( ~ spl27
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p851,c98]) ).
cnf(sct164,plain,
( ~ spl27
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p2894]) ).
cnf(p853,plain,
( ~ spl27
| ~ spl25
| e1 = e3 ),
inference(superposition,[status(thm)],[p32,p34]) ).
cnf(p2920,plain,
( ~ spl27
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p853,c100]) ).
cnf(sct165,plain,
( ~ spl27
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p2920]) ).
cnf(p893,plain,
( ~ spl35
| ~ spl33
| e1 = e3 ),
inference(superposition,[status(thm)],[p42,p44]) ).
cnf(p2941,plain,
( ~ spl35
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p893,c100]) ).
cnf(sct166,plain,
( ~ spl35
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p2941]) ).
cnf(p891,plain,
( ~ spl35
| ~ spl32
| e0 = e3 ),
inference(superposition,[status(thm)],[p41,p44]) ).
cnf(p2971,plain,
( ~ spl35
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p891,c98]) ).
cnf(sct167,plain,
( ~ spl35
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p2971]) ).
cnf(p948,plain,
( ~ spl50
| ~ spl48
| e0 = e2 ),
inference(superposition,[status(thm)],[p61,p63]) ).
cnf(p2991,plain,
( ~ spl50
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p948,c97]) ).
cnf(sct168,plain,
( ~ spl50
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p2991]) ).
fof(sdef65,definition,
( spl65
<=> op(e0,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl65])],[avatar_definition]) ).
cnf(p169,plain,
( ~ spl65
| op(e0,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef65]) ).
cnf(p3018,plain,
( ~ spl65
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p169,p1]) ).
cnf(sct169,plain,
( ~ spl65
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p3018]) ).
fof(sdef74,definition,
( spl74
<=> op(e1,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl74])],[avatar_definition]) ).
cnf(p188,plain,
( ~ spl74
| op(e1,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef74]) ).
cnf(p3022,plain,
( ~ spl74
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p188,p26]) ).
cnf(sct170,plain,
( ~ spl74
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p3022]) ).
fof(sdef97,definition,
( spl97
<=> op(e1,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl97])],[avatar_definition]) ).
cnf(p234,plain,
( ~ spl97
| op(e1,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef97]) ).
cnf(p3033,plain,
( ~ spl97
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p234,p22]) ).
cnf(sct171,plain,
( ~ spl97
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p3033]) ).
fof(sdef124,definition,
( spl124
<=> op(e3,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl124])],[avatar_definition]) ).
cnf(p292,plain,
( ~ spl124
| op(e3,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef124]) ).
cnf(p3043,plain,
( ~ spl124
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p292,p77]) ).
cnf(sct172,plain,
( ~ spl124
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p3043]) ).
fof(sdef143,definition,
( spl143
<=> op(e2,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl143])],[avatar_definition]) ).
cnf(p334,plain,
( ~ spl143
| op(e2,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef143]) ).
cnf(p3045,plain,
( ~ spl143
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p334,p53]) ).
cnf(sct173,plain,
( ~ spl143
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p3045]) ).
fof(sdef136,definition,
( spl136
<=> op(e2,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl136])],[avatar_definition]) ).
cnf(p318,plain,
( ~ spl136
| op(e2,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef136]) ).
cnf(p3070,plain,
( ~ spl136
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p48,p318]) ).
cnf(sct174,plain,
( ~ spl136
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p3070]) ).
fof(sdef115,definition,
( spl115
<=> op(e2,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl115])],[avatar_definition]) ).
cnf(p274,plain,
( ~ spl115
| op(e2,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef115]) ).
cnf(p3078,plain,
( ~ spl115
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p52,p274]) ).
cnf(sct175,plain,
( ~ spl115
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p3078]) ).
fof(sdef180,definition,
( spl180
<=> op(e3,e3) != e3 ),
introduced(definition,[new_symbols(naming,[spl180])],[avatar_definition]) ).
cnf(p416,plain,
( ~ spl180
| op(e3,e3) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef180]) ).
cnf(p3087,plain,
( ~ spl180
| ~ spl63
| $false ),
inference(resolution,[status(thm)],[p416,p79]) ).
cnf(sct176,plain,
( ~ spl180
| ~ spl63 ),
inference(avatar_contradiction_clause,[status(thm)],[p3087]) ).
cnf(p804,plain,
( ~ spl18
| ~ spl16
| e2 = e0 ),
inference(superposition,[status(thm)],[p23,p21]) ).
fof(sdef79,definition,
( spl79
<=> op(e0,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl79])],[avatar_definition]) ).
cnf(p198,plain,
( ~ spl79
| op(e0,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef79]) ).
cnf(p3058,plain,
( ~ spl79
| ~ spl10
| e2 != e0 ),
inference(superposition,[status(thm)],[p13,p198]) ).
cnf(p3115,plain,
( ~ spl79
| ~ spl18
| ~ spl16
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p804,p3058]) ).
cnf(sct177,plain,
( ~ spl79
| ~ spl18
| ~ spl16
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3115]) ).
cnf(p815,plain,
( ~ spl19
| ~ spl18
| e2 = e3 ),
inference(superposition,[status(thm)],[p23,p24]) ).
cnf(p3145,plain,
( ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p815,c101]) ).
cnf(sct178,plain,
( ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p3145]) ).
fof(sdef111,definition,
( spl111
<=> op(e1,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl111])],[avatar_definition]) ).
cnf(p266,plain,
( ~ spl111
| op(e1,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef111]) ).
cnf(p3167,plain,
( ~ spl111
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p32,p266]) ).
cnf(sct179,plain,
( ~ spl111
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p3167]) ).
fof(sdef151,definition,
( spl151
<=> op(e2,e2) != e3 ),
introduced(definition,[new_symbols(naming,[spl151])],[avatar_definition]) ).
cnf(p352,plain,
( ~ spl151
| op(e2,e2) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef151]) ).
cnf(p3186,plain,
( ~ spl151
| ~ spl43
| $false ),
inference(resolution,[status(thm)],[p54,p352]) ).
cnf(sct180,plain,
( ~ spl151
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p3186]) ).
fof(sdef159,definition,
( spl159
<=> op(e3,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl159])],[avatar_definition]) ).
cnf(p368,plain,
( ~ spl159
| op(e3,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef159]) ).
cnf(p3199,plain,
( ~ spl159
| ~ spl51
| $false ),
inference(resolution,[status(thm)],[p64,p368]) ).
cnf(sct181,plain,
( ~ spl159
| ~ spl51 ),
inference(avatar_contradiction_clause,[status(thm)],[p3199]) ).
fof(sdef154,definition,
( spl154
<=> op(e3,e3) != e2 ),
introduced(definition,[new_symbols(naming,[spl154])],[avatar_definition]) ).
cnf(p358,plain,
( ~ spl154
| op(e3,e3) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef154]) ).
cnf(p3207,plain,
( ~ spl154
| ~ spl62
| $false ),
inference(resolution,[status(thm)],[p78,p358]) ).
cnf(sct182,plain,
( ~ spl154
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p3207]) ).
cnf(p810,plain,
( ~ spl19
| ~ spl16
| e3 = e0 ),
inference(superposition,[status(thm)],[p24,p21]) ).
fof(sdef88,definition,
( spl88
<=> op(e0,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl88])],[avatar_definition]) ).
cnf(p216,plain,
( ~ spl88
| op(e0,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef88]) ).
cnf(p3029,plain,
( ~ spl88
| ~ spl15
| e3 != e0 ),
inference(superposition,[status(thm)],[p19,p216]) ).
cnf(p4527,plain,
( ~ spl88
| ~ spl19
| ~ spl16
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p810,p3029]) ).
cnf(sct183,plain,
( ~ spl88
| ~ spl19
| ~ spl16
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p4527]) ).
fof(sdef120,definition,
( spl120
<=> op(e1,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl120])],[avatar_definition]) ).
cnf(p284,plain,
( ~ spl120
| op(e1,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef120]) ).
cnf(p4613,plain,
( ~ spl120
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p37,p284]) ).
cnf(sct184,plain,
( ~ spl120
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p4613]) ).
fof(sdef129,definition,
( spl129
<=> op(e2,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl129])],[avatar_definition]) ).
cnf(p302,plain,
( ~ spl129
| op(e2,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef129]) ).
cnf(p4632,plain,
( ~ spl129
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p43,p302]) ).
cnf(sct185,plain,
( ~ spl129
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p4632]) ).
fof(sdef166,definition,
( spl166
<=> op(e3,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl166])],[avatar_definition]) ).
cnf(p384,plain,
( ~ spl166
| op(e3,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef166]) ).
cnf(p4646,plain,
( ~ spl166
| ~ spl55
| $false ),
inference(resolution,[status(thm)],[p69,p384]) ).
cnf(sct186,plain,
( ~ spl166
| ~ spl55 ),
inference(avatar_contradiction_clause,[status(thm)],[p4646]) ).
cnf(p827,plain,
( ~ spl22
| ~ spl21
| e1 = e2 ),
inference(superposition,[status(thm)],[p27,p28]) ).
cnf(p4717,plain,
( ~ spl22
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p827,c99]) ).
cnf(sct187,plain,
( ~ spl22
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p4717]) ).
cnf(p835,plain,
( ~ spl23
| ~ spl22
| e2 = e3 ),
inference(superposition,[status(thm)],[p28,p29]) ).
cnf(p4838,plain,
( ~ spl23
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p835,c101]) ).
cnf(sct188,plain,
( ~ spl23
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p4838]) ).
fof(sdef104,definition,
( spl104
<=> op(e1,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl104])],[avatar_definition]) ).
cnf(p250,plain,
( ~ spl104
| op(e1,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef104]) ).
cnf(p4847,plain,
( ~ spl104
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p27,p250]) ).
cnf(sct189,plain,
( ~ spl104
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p4847]) ).
fof(sdef112,definition,
( spl112
<=> op(e1,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl112])],[avatar_definition]) ).
cnf(p268,plain,
( ~ spl112
| op(e1,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef112]) ).
cnf(p4856,plain,
( ~ spl112
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p28,p268]) ).
cnf(sct190,plain,
( ~ spl112
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p4856]) ).
fof(f28,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f28_nnf,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c459,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p3718,plain,
( ~ spl62
| e0 != op(e3,e2)
| e1 != op(op(e3,e2),e3)
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,c459]) ).
cnf(p4447,plain,
( ~ spl62
| e0 != op(e3,e2)
| e1 != op(op(e3,e2),e3) ),
inference(equality_resolution,[status(thm)],[p3718]) ).
cnf(p5133,plain,
( ~ spl62
| ~ spl56
| e0 != e0
| e1 != op(e0,e3) ),
inference(superposition,[status(thm)],[p71,p4447]) ).
cnf(p6087,plain,
( ~ spl62
| ~ spl56
| e1 != op(e0,e3) ),
inference(equality_resolution,[status(thm)],[p5133]) ).
cnf(p6707,plain,
( ~ spl62
| ~ spl56
| ~ spl13
| e1 != e1 ),
inference(superposition,[status(thm)],[p17,p6087]) ).
cnf(p7092,plain,
( ~ spl62
| ~ spl56
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p6707]) ).
cnf(sct191,plain,
( ~ spl62
| ~ spl56
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p7092]) ).
fof(sdef121,definition,
( spl121
<=> op(e1,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl121])],[avatar_definition]) ).
cnf(p286,plain,
( ~ spl121
| op(e1,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef121]) ).
cnf(p7146,plain,
( ~ spl121
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p29,p286]) ).
cnf(sct192,plain,
( ~ spl121
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p7146]) ).
cnf(p833,plain,
( ~ spl23
| ~ spl21
| e1 = e3 ),
inference(superposition,[status(thm)],[p27,p29]) ).
cnf(p7375,plain,
( ~ spl23
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p833,c100]) ).
cnf(sct193,plain,
( ~ spl23
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p7375]) ).
fof(f20,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f20_nnf,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c451,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p4902,plain,
( ~ spl41
| e0 != op(e2,e1)
| e3 != op(op(e2,e1),e2)
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,c451]) ).
cnf(p5887,plain,
( ~ spl41
| e0 != op(e2,e1)
| e3 != op(op(e2,e1),e2) ),
inference(equality_resolution,[status(thm)],[p4902]) ).
cnf(p6553,plain,
( ~ spl41
| ~ spl36
| e0 != e0
| e3 != op(e0,e2) ),
inference(superposition,[status(thm)],[p46,p5887]) ).
cnf(p7579,plain,
( ~ spl41
| ~ spl36
| e3 != op(e0,e2) ),
inference(equality_resolution,[status(thm)],[p6553]) ).
cnf(p8241,plain,
( ~ spl41
| ~ spl36
| ~ spl11
| e3 != e3 ),
inference(superposition,[status(thm)],[p14,p7579]) ).
cnf(p8391,plain,
( ~ spl41
| ~ spl36
| ~ spl11
| $false ),
inference(equality_resolution,[status(thm)],[p8241]) ).
cnf(sct194,plain,
( ~ spl41
| ~ spl36
| ~ spl11 ),
inference(avatar_contradiction_clause,[status(thm)],[p8391]) ).
fof(f16,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f16_nnf,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c447,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p7150,plain,
( ~ spl23
| e0 != op(e1,e3)
| e2 != op(op(e1,e3),e1)
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,c447]) ).
cnf(p7674,plain,
( ~ spl23
| e0 != op(e1,e3)
| e2 != op(op(e1,e3),e1) ),
inference(equality_resolution,[status(thm)],[p7150]) ).
cnf(p8254,plain,
( ~ spl28
| ~ spl23
| e0 != e0
| e2 != op(e0,e1) ),
inference(superposition,[status(thm)],[p36,p7674]) ).
cnf(p8393,plain,
( ~ spl28
| ~ spl23
| e2 != op(e0,e1) ),
inference(equality_resolution,[status(thm)],[p8254]) ).
cnf(p8824,plain,
( ~ spl28
| ~ spl23
| ~ spl6
| e2 != e2 ),
inference(superposition,[status(thm)],[p8,p8393]) ).
cnf(p8825,plain,
( ~ spl28
| ~ spl23
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p8824]) ).
cnf(sct195,plain,
( ~ spl28
| ~ spl23
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p8825]) ).
fof(sdef150,definition,
( spl150
<=> op(e2,e3) != e2 ),
introduced(definition,[new_symbols(naming,[spl150])],[avatar_definition]) ).
cnf(p350,plain,
( ~ spl150
| op(e2,e3) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef150]) ).
cnf(p8832,plain,
( ~ spl150
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p58,p350]) ).
cnf(sct196,plain,
( ~ spl150
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p8832]) ).
fof(sdef173,definition,
( spl173
<=> op(e3,e2) != e3 ),
introduced(definition,[new_symbols(naming,[spl173])],[avatar_definition]) ).
cnf(p400,plain,
( ~ spl173
| op(e3,e2) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef173]) ).
cnf(p8840,plain,
( ~ spl173
| ~ spl59
| $false ),
inference(resolution,[status(thm)],[p74,p400]) ).
cnf(sct197,plain,
( ~ spl173
| ~ spl59 ),
inference(avatar_contradiction_clause,[status(thm)],[p8840]) ).
fof(sdef92,definition,
( spl92
<=> op(e3,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl92])],[avatar_definition]) ).
cnf(p224,plain,
( ~ spl92
| op(e3,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef92]) ).
cnf(p8957,plain,
( ~ spl92
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p76,p224]) ).
cnf(sct198,plain,
( ~ spl92
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p8957]) ).
fof(sdef83,definition,
( spl83
<=> op(e2,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl83])],[avatar_definition]) ).
cnf(p206,plain,
( ~ spl83
| op(e2,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef83]) ).
cnf(p3026,plain,
( ~ spl83
| ~ spl42
| e2 != e0 ),
inference(superposition,[status(thm)],[p53,p206]) ).
cnf(p10849,plain,
( ~ spl83
| ~ spl42
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p3026,p804]) ).
cnf(sct199,plain,
( ~ spl83
| ~ spl42
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p10849]) ).
fof(f26,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f26_nnf,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c457,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p7505,plain,
( ~ spl61
| e0 != op(e3,e1)
| e2 != op(op(e3,e1),e3)
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,c457]) ).
cnf(p8211,plain,
( ~ spl61
| e0 != op(e3,e1)
| e2 != op(op(e3,e1),e3) ),
inference(equality_resolution,[status(thm)],[p7505]) ).
cnf(p11150,plain,
( ~ spl61
| ~ spl52
| e0 != e0
| e2 != op(e0,e3) ),
inference(superposition,[status(thm)],[p66,p8211]) ).
cnf(p12296,plain,
( ~ spl61
| ~ spl52
| e2 != op(e0,e3) ),
inference(equality_resolution,[status(thm)],[p11150]) ).
cnf(p13272,plain,
( ~ spl61
| ~ spl52
| ~ spl14
| e2 != e2 ),
inference(superposition,[status(thm)],[p18,p12296]) ).
cnf(p13835,plain,
( ~ spl61
| ~ spl52
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p13272]) ).
cnf(sct200,plain,
( ~ spl61
| ~ spl52
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p13835]) ).
fof(f14,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f14_nnf,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c445,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p4863,plain,
( ~ spl22
| e0 != op(e1,e2)
| e3 != op(op(e1,e2),e1)
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,c445]) ).
cnf(p5518,plain,
( ~ spl22
| e0 != op(e1,e2)
| e3 != op(op(e1,e2),e1) ),
inference(equality_resolution,[status(thm)],[p4863]) ).
cnf(p8955,plain,
( ~ spl24
| ~ spl22
| e0 != e0
| e3 != op(e0,e1) ),
inference(superposition,[status(thm)],[p31,p5518]) ).
cnf(p9827,plain,
( ~ spl24
| ~ spl22
| e3 != op(e0,e1) ),
inference(equality_resolution,[status(thm)],[p8955]) ).
cnf(p14000,plain,
( ~ spl24
| ~ spl22
| ~ spl7
| e3 != e3 ),
inference(superposition,[status(thm)],[p9,p9827]) ).
cnf(p14001,plain,
( ~ spl24
| ~ spl22
| ~ spl7
| $false ),
inference(equality_resolution,[status(thm)],[p14000]) ).
cnf(sct201,plain,
( ~ spl24
| ~ spl22
| ~ spl7 ),
inference(avatar_contradiction_clause,[status(thm)],[p14001]) ).
fof(f22,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f22_nnf,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c453,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p3451,plain,
( ~ spl43
| e0 != op(e2,e3)
| e1 != op(op(e2,e3),e2)
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,c453]) ).
cnf(p4435,plain,
( ~ spl43
| e0 != op(e2,e3)
| e1 != op(op(e2,e3),e2) ),
inference(equality_resolution,[status(thm)],[p3451]) ).
cnf(p4625,plain,
( ~ spl44
| ~ spl43
| e0 != e0
| e1 != op(e0,e2) ),
inference(superposition,[status(thm)],[p56,p4435]) ).
cnf(p13984,plain,
( ~ spl44
| ~ spl43
| e1 != op(e0,e2) ),
inference(equality_resolution,[status(thm)],[p4625]) ).
cnf(p14037,plain,
( ~ spl44
| ~ spl43
| ~ spl9
| e1 != e1 ),
inference(superposition,[status(thm)],[p12,p13984]) ).
cnf(p14116,plain,
( ~ spl44
| ~ spl43
| ~ spl9
| $false ),
inference(equality_resolution,[status(thm)],[p14037]) ).
cnf(sct202,plain,
( ~ spl44
| ~ spl43
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p14116]) ).
cnf(p3083,plain,
( ~ spl92
| ~ spl63
| e3 != e0 ),
inference(superposition,[status(thm)],[p79,p224]) ).
cnf(p14138,plain,
( ~ spl92
| ~ spl63
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p3083,p810]) ).
cnf(sct203,plain,
( ~ spl92
| ~ spl63
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p14138]) ).
cnf(p14118,plain,
( ~ spl154
| ~ spl19
| ~ spl16
| op(e0,e0) != e2 ),
inference(superposition,[status(thm)],[p810,p358]) ).
cnf(p14585,plain,
( ~ spl154
| ~ spl19
| ~ spl16
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p14118,p3]) ).
cnf(sct204,plain,
( ~ spl154
| ~ spl19
| ~ spl16
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p14585]) ).
fof(sdef71,definition,
( spl71
<=> op(e0,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl71])],[avatar_definition]) ).
cnf(p182,plain,
( ~ spl71
| op(e0,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef71]) ).
cnf(p14596,plain,
( ~ spl71
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p2,p182]) ).
cnf(sct205,plain,
( ~ spl71
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p14596]) ).
cnf(p727,plain,
( ~ spl2
| ~ spl1
| e1 = e2 ),
inference(superposition,[status(thm)],[p2,p3]) ).
cnf(p14606,plain,
( ~ spl2
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p727,c99]) ).
cnf(sct206,plain,
( ~ spl2
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p14606]) ).
cnf(p733,plain,
( ~ spl3
| ~ spl1
| e1 = e3 ),
inference(superposition,[status(thm)],[p2,p4]) ).
cnf(p14767,plain,
( ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p733,c100]) ).
cnf(sct207,plain,
( ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p14767]) ).
fof(sdef70,definition,
( spl70
<=> op(e0,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl70])],[avatar_definition]) ).
cnf(p180,plain,
( ~ spl70
| op(e0,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef70]) ).
cnf(p14774,plain,
( ~ spl70
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p6,p180]) ).
cnf(sct208,plain,
( ~ spl70
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p14774]) ).
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/sandbox2/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(c52,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1823,plain,
( ~ spl48
| op(e1,e0) != e0 ),
inference(superposition,[status(thm)],[p61,c52]) ).
cnf(p14791,plain,
( ~ spl48
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p1823,p21]) ).
cnf(sct209,plain,
( ~ spl48
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p14791]) ).
cnf(p14885,plain,
( ~ spl83
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p51,p206]) ).
cnf(sct210,plain,
( ~ spl83
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p14885]) ).
cnf(p15116,plain,
( ~ spl79
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p198,p11]) ).
cnf(sct211,plain,
( ~ spl79
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p15116]) ).
cnf(p3183,plain,
( ~ spl83
| ~ spl43
| e3 != e0 ),
inference(superposition,[status(thm)],[p54,p206]) ).
cnf(p15182,plain,
( ~ spl83
| ~ spl43
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p810,p3183]) ).
cnf(sct212,plain,
( ~ spl83
| ~ spl43
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p15182]) ).
cnf(c78,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2871,plain,
( ~ spl20
| op(e1,e0) != e0 ),
inference(superposition,[status(thm)],[p26,c78]) ).
cnf(p4580,plain,
( ~ spl20
| ~ spl19
| e3 != e0 ),
inference(superposition,[status(thm)],[p24,p2871]) ).
cnf(p15319,plain,
( ~ spl20
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p810,p4580]) ).
cnf(sct213,plain,
( ~ spl20
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p15319]) ).
fof(f23,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f23_nnf,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c454,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p8964,plain,
( ~ spl60
| e2 != op(e3,e0)
| e1 != op(op(e3,e0),e3)
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,c454]) ).
cnf(p9839,plain,
( ~ spl60
| e2 != op(e3,e0)
| e1 != op(op(e3,e0),e3) ),
inference(equality_resolution,[status(thm)],[p8964]) ).
cnf(p15934,plain,
( ~ spl60
| ~ spl50
| e2 != e2
| e1 != op(e2,e3) ),
inference(superposition,[status(thm)],[p63,p9839]) ).
cnf(p17206,plain,
( ~ spl60
| ~ spl50
| e1 != op(e2,e3) ),
inference(equality_resolution,[status(thm)],[p15934]) ).
cnf(p18580,plain,
( ~ spl60
| ~ spl50
| ~ spl45
| e1 != e1 ),
inference(superposition,[status(thm)],[p57,p17206]) ).
cnf(p19418,plain,
( ~ spl60
| ~ spl50
| ~ spl45
| $false ),
inference(equality_resolution,[status(thm)],[p18580]) ).
cnf(sct214,plain,
( ~ spl60
| ~ spl50
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p19418]) ).
fof(f6,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f6_nnf,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c437,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p14600,plain,
( ~ spl1
| e2 != op(e0,e1)
| e3 != op(op(e0,e1),e0)
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,c437]) ).
cnf(p15019,plain,
( ~ spl1
| e2 != op(e0,e1)
| e3 != op(op(e0,e1),e0) ),
inference(equality_resolution,[status(thm)],[p14600]) ).
cnf(p15693,plain,
( ~ spl6
| ~ spl1
| e2 != e2
| e3 != op(e2,e0) ),
inference(superposition,[status(thm)],[p8,p15019]) ).
cnf(p16999,plain,
( ~ spl6
| ~ spl1
| e3 != op(e2,e0) ),
inference(equality_resolution,[status(thm)],[p15693]) ).
cnf(p19596,plain,
( ~ spl35
| ~ spl6
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p44,p16999]) ).
cnf(p19598,plain,
( ~ spl35
| ~ spl6
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p19596]) ).
cnf(sct215,plain,
( ~ spl35
| ~ spl6
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p19598]) ).
fof(f25,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f25_nnf,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c456,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p7504,plain,
( ~ spl61
| e2 != op(e3,e1)
| e0 != op(op(e3,e1),e3)
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,c456]) ).
cnf(p8204,plain,
( ~ spl61
| e2 != op(e3,e1)
| e0 != op(op(e3,e1),e3) ),
inference(equality_resolution,[status(thm)],[p7504]) ).
cnf(p10883,plain,
( ~ spl61
| ~ spl54
| e2 != e2
| e0 != op(e2,e3) ),
inference(superposition,[status(thm)],[p68,p8204]) ).
cnf(p10965,plain,
( ~ spl61
| ~ spl54
| e0 != op(e2,e3) ),
inference(equality_resolution,[status(thm)],[p10883]) ).
cnf(p20257,plain,
( ~ spl61
| ~ spl54
| ~ spl44
| e0 != e0 ),
inference(superposition,[status(thm)],[p56,p10965]) ).
cnf(p21322,plain,
( ~ spl61
| ~ spl54
| ~ spl44
| $false ),
inference(equality_resolution,[status(thm)],[p20257]) ).
cnf(sct216,plain,
( ~ spl61
| ~ spl54
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p21322]) ).
cnf(p21982,plain,
( ~ spl88
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p16,p216]) ).
cnf(sct217,plain,
( ~ spl88
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p21982]) ).
fof(f19,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f19_nnf,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c450,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p4901,plain,
( ~ spl41
| e3 != op(e2,e1)
| e0 != op(op(e2,e1),e2)
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,c450]) ).
cnf(p5882,plain,
( ~ spl41
| e3 != op(e2,e1)
| e0 != op(op(e2,e1),e2) ),
inference(equality_resolution,[status(thm)],[p4901]) ).
cnf(p11023,plain,
( ~ spl41
| ~ spl39
| e3 != e3
| e0 != op(e3,e2) ),
inference(superposition,[status(thm)],[p49,p5882]) ).
cnf(p12232,plain,
( ~ spl41
| ~ spl39
| e0 != op(e3,e2) ),
inference(equality_resolution,[status(thm)],[p11023]) ).
cnf(p22902,plain,
( ~ spl56
| ~ spl41
| ~ spl39
| e0 != e0 ),
inference(superposition,[status(thm)],[p71,p12232]) ).
cnf(p23032,plain,
( ~ spl56
| ~ spl41
| ~ spl39
| $false ),
inference(equality_resolution,[status(thm)],[p22902]) ).
cnf(sct218,plain,
( ~ spl56
| ~ spl41
| ~ spl39 ),
inference(avatar_contradiction_clause,[status(thm)],[p23032]) ).
cnf(c62,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2314,plain,
( ~ spl56
| op(e0,e2) != e0 ),
inference(superposition,[status(thm)],[p71,c62]) ).
cnf(p3307,plain,
( ~ spl56
| ~ spl10
| e2 != e0 ),
inference(superposition,[status(thm)],[p13,p2314]) ).
cnf(p23058,plain,
( ~ spl56
| ~ spl18
| ~ spl16
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p804,p3307]) ).
cnf(sct219,plain,
( ~ spl56
| ~ spl18
| ~ spl16
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p23058]) ).
fof(f17,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f17_nnf,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c448,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p21997,plain,
( ~ spl40
| e3 != op(e2,e0)
| e1 != op(op(e2,e0),e2)
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,c448]) ).
cnf(p22299,plain,
( ~ spl40
| e3 != op(e2,e0)
| e1 != op(op(e2,e0),e2) ),
inference(equality_resolution,[status(thm)],[p21997]) ).
cnf(p23763,plain,
( ~ spl40
| ~ spl35
| e3 != e3
| e1 != op(e3,e2) ),
inference(superposition,[status(thm)],[p44,p22299]) ).
cnf(p24154,plain,
( ~ spl40
| ~ spl35
| e1 != op(e3,e2) ),
inference(equality_resolution,[status(thm)],[p23763]) ).
cnf(p24155,plain,
( ~ spl57
| ~ spl40
| ~ spl35
| e1 != e1 ),
inference(superposition,[status(thm)],[p72,p24154]) ).
cnf(p24157,plain,
( ~ spl57
| ~ spl40
| ~ spl35
| $false ),
inference(equality_resolution,[status(thm)],[p24155]) ).
cnf(sct220,plain,
( ~ spl57
| ~ spl40
| ~ spl35 ),
inference(avatar_contradiction_clause,[status(thm)],[p24157]) ).
fof(f5,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f5_nnf,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c436,plain,
( e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p14599,plain,
( ~ spl1
| e3 != op(e0,e1)
| e2 != op(op(e0,e1),e0)
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,c436]) ).
cnf(p15011,plain,
( ~ spl1
| e3 != op(e0,e1)
| e2 != op(op(e0,e1),e0) ),
inference(equality_resolution,[status(thm)],[p14599]) ).
cnf(p19989,plain,
( ~ spl7
| ~ spl1
| e3 != e3
| e2 != op(e3,e0) ),
inference(superposition,[status(thm)],[p9,p15011]) ).
cnf(p21431,plain,
( ~ spl7
| ~ spl1
| e2 != op(e3,e0) ),
inference(equality_resolution,[status(thm)],[p19989]) ).
cnf(p24202,plain,
( ~ spl50
| ~ spl7
| ~ spl1
| e2 != e2 ),
inference(superposition,[status(thm)],[p63,p21431]) ).
cnf(p24203,plain,
( ~ spl50
| ~ spl7
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p24202]) ).
cnf(sct221,plain,
( ~ spl50
| ~ spl7
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p24203]) ).
cnf(p734,plain,
( ~ spl3
| ~ spl2
| e3 = e2 ),
inference(superposition,[status(thm)],[p4,p3]) ).
cnf(p3185,plain,
( ~ spl143
| ~ spl43
| e3 != e2 ),
inference(superposition,[status(thm)],[p54,p334]) ).
cnf(p24237,plain,
( ~ spl143
| ~ spl43
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p734,p3185]) ).
cnf(sct222,plain,
( ~ spl143
| ~ spl43
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p24237]) ).
cnf(p4882,plain,
( ~ spl150
| ~ spl47
| e3 != e2 ),
inference(superposition,[status(thm)],[p59,p350]) ).
cnf(p24321,plain,
( ~ spl150
| ~ spl47
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p734,p4882]) ).
cnf(sct223,plain,
( ~ spl150
| ~ spl47
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p24321]) ).
cnf(c68,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2563,plain,
( ~ spl62
| op(e0,e3) != e2 ),
inference(superposition,[status(thm)],[p78,c68]) ).
cnf(p4560,plain,
( ~ spl62
| ~ spl15
| e3 != e2 ),
inference(superposition,[status(thm)],[p19,p2563]) ).
cnf(p24336,plain,
( ~ spl62
| ~ spl15
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p734,p4560]) ).
cnf(sct224,plain,
( ~ spl62
| ~ spl15
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p24336]) ).
cnf(p3044,plain,
( ~ spl129
| ~ spl35
| e3 != e2 ),
inference(superposition,[status(thm)],[p44,p302]) ).
cnf(p24344,plain,
( ~ spl129
| ~ spl35
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p734,p3044]) ).
cnf(sct225,plain,
( ~ spl129
| ~ spl35
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p24344]) ).
cnf(p11017,plain,
( ~ spl136
| ~ spl39
| e3 != e2 ),
inference(superposition,[status(thm)],[p49,p318]) ).
cnf(p24376,plain,
( ~ spl136
| ~ spl39
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p734,p11017]) ).
cnf(sct226,plain,
( ~ spl136
| ~ spl39
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p24376]) ).
fof(sdef80,definition,
( spl80
<=> op(e0,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl80])],[avatar_definition]) ).
cnf(p200,plain,
( ~ spl80
| op(e0,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef80]) ).
cnf(p24408,plain,
( ~ spl80
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p3,p200]) ).
cnf(sct227,plain,
( ~ spl80
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p24408]) ).
cnf(c48,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3156,plain,
( ~ spl18
| op(e0,e0) != e2 ),
inference(superposition,[status(thm)],[p23,c48]) ).
cnf(p24415,plain,
( ~ spl18
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p3,p3156]) ).
cnf(sct228,plain,
( ~ spl18
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p24415]) ).
fof(f24,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f24_nnf,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c455,plain,
( e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p8965,plain,
( ~ spl60
| e1 != op(e3,e0)
| e2 != op(op(e3,e0),e3)
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,c455]) ).
cnf(p9841,plain,
( ~ spl60
| e1 != op(e3,e0)
| e2 != op(op(e3,e0),e3) ),
inference(equality_resolution,[status(thm)],[p8965]) ).
cnf(p24422,plain,
( ~ spl60
| ~ spl49
| e1 != e1
| e2 != op(e1,e3) ),
inference(superposition,[status(thm)],[p62,p9841]) ).
cnf(p25655,plain,
( ~ spl60
| ~ spl49
| e2 != op(e1,e3) ),
inference(equality_resolution,[status(thm)],[p24422]) ).
cnf(p26220,plain,
( ~ spl60
| ~ spl49
| ~ spl30
| e2 != e2 ),
inference(superposition,[status(thm)],[p38,p25655]) ).
cnf(p26484,plain,
( ~ spl60
| ~ spl49
| ~ spl30
| $false ),
inference(equality_resolution,[status(thm)],[p26220]) ).
cnf(sct229,plain,
( ~ spl60
| ~ spl49
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p26484]) ).
fof(f8,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f8_nnf,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c439,plain,
( e1 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p24413,plain,
( ~ spl2
| e1 != op(e0,e2)
| e3 != op(op(e0,e2),e0)
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,c439]) ).
cnf(p25645,plain,
( ~ spl2
| e1 != op(e0,e2)
| e3 != op(op(e0,e2),e0) ),
inference(equality_resolution,[status(thm)],[p24413]) ).
cnf(p26208,plain,
( ~ spl9
| ~ spl2
| e1 != e1
| e3 != op(e1,e0) ),
inference(superposition,[status(thm)],[p12,p25645]) ).
cnf(p26505,plain,
( ~ spl9
| ~ spl2
| e3 != op(e1,e0) ),
inference(equality_resolution,[status(thm)],[p26208]) ).
cnf(p26615,plain,
( ~ spl19
| ~ spl9
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p24,p26505]) ).
cnf(p26616,plain,
( ~ spl19
| ~ spl9
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p26615]) ).
cnf(sct230,plain,
( ~ spl19
| ~ spl9
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p26616]) ).
fof(f27,axiom,
~ ( e1 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f27_nnf,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c458,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p3711,plain,
( ~ spl62
| e1 != op(e3,e2)
| e0 != op(op(e3,e2),e3)
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,c458]) ).
cnf(p4441,plain,
( ~ spl62
| e1 != op(e3,e2)
| e0 != op(op(e3,e2),e3) ),
inference(equality_resolution,[status(thm)],[p3711]) ).
cnf(p13976,plain,
( ~ spl62
| ~ spl57
| e1 != e1
| e0 != op(e1,e3) ),
inference(superposition,[status(thm)],[p72,p4441]) ).
cnf(p26955,plain,
( ~ spl62
| ~ spl57
| e0 != op(e1,e3) ),
inference(equality_resolution,[status(thm)],[p13976]) ).
cnf(p28040,plain,
( ~ spl62
| ~ spl57
| ~ spl28
| e0 != e0 ),
inference(superposition,[status(thm)],[p36,p26955]) ).
cnf(p28672,plain,
( ~ spl62
| ~ spl57
| ~ spl28
| $false ),
inference(equality_resolution,[status(thm)],[p28040]) ).
cnf(sct231,plain,
( ~ spl62
| ~ spl57
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p28672]) ).
fof(f11,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f11_nnf,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c442,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p3419,plain,
( ~ spl20
| e3 != op(e1,e0)
| e2 != op(op(e1,e0),e1)
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,c442]) ).
cnf(p4391,plain,
( ~ spl20
| e3 != op(e1,e0)
| e2 != op(op(e1,e0),e1) ),
inference(equality_resolution,[status(thm)],[p3419]) ).
cnf(p4538,plain,
( ~ spl20
| ~ spl19
| e3 != e3
| e2 != op(e3,e1) ),
inference(superposition,[status(thm)],[p24,p4391]) ).
cnf(p15720,plain,
( ~ spl20
| ~ spl19
| e2 != op(e3,e1) ),
inference(equality_resolution,[status(thm)],[p4538]) ).
cnf(p28690,plain,
( ~ spl54
| ~ spl20
| ~ spl19
| e2 != e2 ),
inference(superposition,[status(thm)],[p68,p15720]) ).
cnf(p28725,plain,
( ~ spl54
| ~ spl20
| ~ spl19
| $false ),
inference(equality_resolution,[status(thm)],[p28690]) ).
cnf(sct232,plain,
( ~ spl54
| ~ spl20
| ~ spl19 ),
inference(avatar_contradiction_clause,[status(thm)],[p28725]) ).
fof(f7,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f7_nnf,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c438,plain,
( e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p24412,plain,
( ~ spl2
| e3 != op(e0,e2)
| e1 != op(op(e0,e2),e0)
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,c438]) ).
cnf(p25642,plain,
( ~ spl2
| e3 != op(e0,e2)
| e1 != op(op(e0,e2),e0) ),
inference(equality_resolution,[status(thm)],[p24412]) ).
cnf(p26964,plain,
( ~ spl11
| ~ spl2
| e3 != e3
| e1 != op(e3,e0) ),
inference(superposition,[status(thm)],[p14,p25642]) ).
cnf(p28082,plain,
( ~ spl11
| ~ spl2
| e1 != op(e3,e0) ),
inference(equality_resolution,[status(thm)],[p26964]) ).
cnf(p28779,plain,
( ~ spl49
| ~ spl11
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p62,p28082]) ).
cnf(p28780,plain,
( ~ spl49
| ~ spl11
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p28779]) ).
cnf(sct233,plain,
( ~ spl49
| ~ spl11
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p28780]) ).
fof(f13,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f13_nnf,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c444,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p4862,plain,
( ~ spl22
| e3 != op(e1,e2)
| e0 != op(op(e1,e2),e1)
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,c444]) ).
cnf(p5513,plain,
( ~ spl22
| e3 != op(e1,e2)
| e0 != op(op(e1,e2),e1) ),
inference(equality_resolution,[status(thm)],[p4862]) ).
cnf(p6446,plain,
( ~ spl27
| ~ spl22
| e3 != e3
| e0 != op(e3,e1) ),
inference(superposition,[status(thm)],[p34,p5513]) ).
cnf(p7024,plain,
( ~ spl27
| ~ spl22
| e0 != op(e3,e1) ),
inference(equality_resolution,[status(thm)],[p6446]) ).
cnf(p28793,plain,
( ~ spl52
| ~ spl27
| ~ spl22
| e0 != e0 ),
inference(superposition,[status(thm)],[p66,p7024]) ).
cnf(p28800,plain,
( ~ spl52
| ~ spl27
| ~ spl22
| $false ),
inference(equality_resolution,[status(thm)],[p28793]) ).
cnf(sct234,plain,
( ~ spl52
| ~ spl27
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p28800]) ).
cnf(c53,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1884,plain,
( ~ spl49
| op(e2,e0) != e1 ),
inference(superposition,[status(thm)],[p62,c53]) ).
cnf(p28842,plain,
( ~ spl49
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p1884,p42]) ).
cnf(sct235,plain,
( ~ spl49
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p28842]) ).
cnf(p7483,plain,
( ~ spl88
| ~ spl14
| e2 != e0 ),
inference(superposition,[status(thm)],[p18,p216]) ).
cnf(p28942,plain,
( ~ spl88
| ~ spl18
| ~ spl16
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p804,p7483]) ).
cnf(sct236,plain,
( ~ spl88
| ~ spl18
| ~ spl16
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p28942]) ).
cnf(c92,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3030,plain,
( ~ spl50
| e2 != op(e3,e3) ),
inference(superposition,[status(thm)],[p63,c92]) ).
cnf(p8875,plain,
( ~ spl60
| ~ spl50
| e2 != e0 ),
inference(superposition,[status(thm)],[p76,p3030]) ).
cnf(p28950,plain,
( ~ spl60
| ~ spl50
| ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p804,p8875]) ).
cnf(sct237,plain,
( ~ spl60
| ~ spl50
| ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p28950]) ).
fof(sdef89,definition,
( spl89
<=> op(e0,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl89])],[avatar_definition]) ).
cnf(p218,plain,
( ~ spl89
| op(e0,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef89]) ).
cnf(p29046,plain,
( ~ spl89
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p4,p218]) ).
cnf(sct238,plain,
( ~ spl89
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p29046]) ).
fof(f21,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f21_nnf,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c452,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p3449,plain,
( ~ spl43
| e1 != op(e2,e3)
| e0 != op(op(e2,e3),e2)
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,c452]) ).
cnf(p4429,plain,
( ~ spl43
| e1 != op(e2,e3)
| e0 != op(op(e2,e3),e2) ),
inference(equality_resolution,[status(thm)],[p3449]) ).
cnf(p8446,plain,
( ~ spl45
| ~ spl43
| e1 != e1
| e0 != op(e1,e2) ),
inference(superposition,[status(thm)],[p57,p4429]) ).
cnf(p29458,plain,
( ~ spl45
| ~ spl43
| e0 != op(e1,e2) ),
inference(equality_resolution,[status(thm)],[p8446]) ).
cnf(p29657,plain,
( ~ spl45
| ~ spl43
| ~ spl24
| e0 != e0 ),
inference(superposition,[status(thm)],[p31,p29458]) ).
cnf(p29658,plain,
( ~ spl45
| ~ spl43
| ~ spl24
| $false ),
inference(equality_resolution,[status(thm)],[p29657]) ).
cnf(sct239,plain,
( ~ spl45
| ~ spl43
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p29658]) ).
cnf(p15176,plain,
( ~ spl50
| ~ spl19
| ~ spl16
| op(e0,e0) = e2 ),
inference(superposition,[status(thm)],[p810,p63]) ).
cnf(p29739,plain,
( ~ spl80
| ~ spl50
| ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p15176,p200]) ).
cnf(sct240,plain,
( ~ spl80
| ~ spl50
| ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p29739]) ).
fof(f18,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f18_nnf,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c449,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p21998,plain,
( ~ spl40
| e1 != op(e2,e0)
| e3 != op(op(e2,e0),e2)
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,c449]) ).
cnf(p22304,plain,
( ~ spl40
| e1 != op(e2,e0)
| e3 != op(op(e2,e0),e2) ),
inference(equality_resolution,[status(thm)],[p21998]) ).
cnf(p27168,plain,
( ~ spl40
| ~ spl33
| e1 != e1
| e3 != op(e1,e2) ),
inference(superposition,[status(thm)],[p42,p22304]) ).
cnf(p28291,plain,
( ~ spl40
| ~ spl33
| e3 != op(e1,e2) ),
inference(equality_resolution,[status(thm)],[p27168]) ).
cnf(p29931,plain,
( ~ spl40
| ~ spl33
| ~ spl27
| e3 != e3 ),
inference(superposition,[status(thm)],[p34,p28291]) ).
cnf(p30067,plain,
( ~ spl40
| ~ spl33
| ~ spl27
| $false ),
inference(equality_resolution,[status(thm)],[p29931]) ).
cnf(sct241,plain,
( ~ spl40
| ~ spl33
| ~ spl27 ),
inference(avatar_contradiction_clause,[status(thm)],[p30067]) ).
fof(f10,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f10_nnf,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c441,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p29051,plain,
( ~ spl3
| e1 != op(e0,e3)
| e2 != op(op(e0,e3),e0)
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,c441]) ).
cnf(p29305,plain,
( ~ spl3
| e1 != op(e0,e3)
| e2 != op(op(e0,e3),e0) ),
inference(equality_resolution,[status(thm)],[p29051]) ).
cnf(p29827,plain,
( ~ spl13
| ~ spl3
| e1 != e1
| e2 != op(e1,e0) ),
inference(superposition,[status(thm)],[p17,p29305]) ).
cnf(p30185,plain,
( ~ spl13
| ~ spl3
| e2 != op(e1,e0) ),
inference(equality_resolution,[status(thm)],[p29827]) ).
cnf(p30228,plain,
( ~ spl18
| ~ spl13
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p23,p30185]) ).
cnf(p30229,plain,
( ~ spl18
| ~ spl13
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p30228]) ).
cnf(sct242,plain,
( ~ spl18
| ~ spl13
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p30229]) ).
fof(f12,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f12_nnf,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c443,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p3421,plain,
( ~ spl20
| e2 != op(e1,e0)
| e3 != op(op(e1,e0),e1)
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,c443]) ).
cnf(p4398,plain,
( ~ spl20
| e2 != op(e1,e0)
| e3 != op(op(e1,e0),e1) ),
inference(equality_resolution,[status(thm)],[p3421]) ).
cnf(p20295,plain,
( ~ spl20
| ~ spl18
| e2 != e2
| e3 != op(e2,e1) ),
inference(superposition,[status(thm)],[p23,p4398]) ).
cnf(p23238,plain,
( ~ spl20
| ~ spl18
| e3 != op(e2,e1) ),
inference(equality_resolution,[status(thm)],[p20295]) ).
cnf(p30258,plain,
( ~ spl39
| ~ spl20
| ~ spl18
| e3 != e3 ),
inference(superposition,[status(thm)],[p49,p23238]) ).
cnf(p30259,plain,
( ~ spl39
| ~ spl20
| ~ spl18
| $false ),
inference(equality_resolution,[status(thm)],[p30258]) ).
cnf(sct243,plain,
( ~ spl39
| ~ spl20
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p30259]) ).
fof(f9,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f9_nnf,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c440,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p29050,plain,
( ~ spl3
| e2 != op(e0,e3)
| e1 != op(op(e0,e3),e0)
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,c440]) ).
cnf(p29301,plain,
( ~ spl3
| e2 != op(e0,e3)
| e1 != op(op(e0,e3),e0) ),
inference(equality_resolution,[status(thm)],[p29050]) ).
cnf(p29332,plain,
( ~ spl14
| ~ spl3
| e2 != e2
| e1 != op(e2,e0) ),
inference(superposition,[status(thm)],[p18,p29301]) ).
cnf(p30272,plain,
( ~ spl14
| ~ spl3
| e1 != op(e2,e0) ),
inference(equality_resolution,[status(thm)],[p29332]) ).
cnf(p30607,plain,
( ~ spl33
| ~ spl14
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p42,p30272]) ).
cnf(p30608,plain,
( ~ spl33
| ~ spl14
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p30607]) ).
cnf(sct244,plain,
( ~ spl33
| ~ spl14
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p30608]) ).
fof(f15,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f15_nnf,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c446,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p7149,plain,
( ~ spl23
| e2 != op(e1,e3)
| e0 != op(op(e1,e3),e1)
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,c446]) ).
cnf(p7669,plain,
( ~ spl23
| e2 != op(e1,e3)
| e0 != op(op(e1,e3),e1) ),
inference(equality_resolution,[status(thm)],[p7149]) ).
cnf(p14054,plain,
( ~ spl30
| ~ spl23
| e2 != e2
| e0 != op(e2,e1) ),
inference(superposition,[status(thm)],[p38,p7669]) ).
cnf(p30910,plain,
( ~ spl30
| ~ spl23
| e0 != op(e2,e1) ),
inference(equality_resolution,[status(thm)],[p14054]) ).
cnf(p30961,plain,
( ~ spl36
| ~ spl30
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p46,p30910]) ).
cnf(p30962,plain,
( ~ spl36
| ~ spl30
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p30961]) ).
cnf(sct245,plain,
( ~ spl36
| ~ spl30
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p30962]) ).
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/sandbox2/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/sandbox2/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])],[f4_sk]) ).
cnf(ssp48,plain,
( spl64
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c102,sdef0,sdef64]) ).
cnf(c103,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])],[f4_sk]) ).
cnf(ssp49,plain,
( spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c103,sdef64,sdef65]) ).
cnf(c104,plain,
( def0
| op(e0,e0) = e0
| 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])],[f4_sk]) ).
cnf(ssp50,plain,
( spl66
| spl65
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c104,sdef0,sdef65,sdef66]) ).
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])],[f4_sk]) ).
cnf(ssp51,plain,
( spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c105,sdef66,sdef67]) ).
cnf(c106,plain,
( op(e0,e0) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp52,plain,
( spl67
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c106,sdef0,sdef67]) ).
cnf(c107,plain,
( def1
| 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])],[f4_sk]) ).
cnf(ssp53,plain,
( spl68
| spl65
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c107,sdef64,sdef65,sdef68]) ).
cnf(c108,plain,
( op(e0,e0) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp54,plain,
( spl69
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c108,sdef1,sdef69]) ).
cnf(c109,plain,
( op(e0,e1) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp55,plain,
( spl70
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c109,sdef69,sdef70]) ).
cnf(c110,plain,
( def2
| op(e0,e1) = e0
| 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])],[f4_sk]) ).
cnf(ssp56,plain,
( spl72
| spl71
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c110,sdef4,sdef71,sdef72]) ).
cnf(c111,plain,
( def2
| ~ 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])],[f4_sk]) ).
cnf(ssp57,plain,
( spl73
| spl72 ),
inference(avatar_split_clause,[status(thm)],[c111,sdef72,sdef73]) ).
cnf(c112,plain,
( op(e1,e1) = 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])],[f4_sk]) ).
cnf(ssp58,plain,
( spl73
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c112,sdef20,sdef73]) ).
cnf(c113,plain,
( def3
| op(e1,e1) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp59,plain,
( spl75
| spl74
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c113,sdef69,sdef74,sdef75]) ).
cnf(c114,plain,
( def3
| def1
| ~ 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])],[f4_sk]) ).
cnf(ssp60,plain,
( spl76
| spl75
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c114,sdef68,sdef75,sdef76]) ).
cnf(c115,plain,
( def4
| ~ 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])],[f4_sk]) ).
cnf(ssp61,plain,
( spl77
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c115,sdef67,sdef77]) ).
cnf(c116,plain,
( 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])],[f4_sk]) ).
cnf(ssp62,plain,
( spl77
| spl73 ),
inference(avatar_split_clause,[status(thm)],[c116,sdef73,sdef77]) ).
cnf(c117,plain,
( op(e0,e0) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp63,plain,
( spl78
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c117,sdef2,sdef78]) ).
cnf(c118,plain,
( op(e0,e2) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp64,plain,
( spl79
| spl78 ),
inference(avatar_split_clause,[status(thm)],[c118,sdef78,sdef79]) ).
cnf(c119,plain,
( def5
| op(e0,e2) = e0
| 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])],[f4_sk]) ).
cnf(ssp65,plain,
( spl81
| spl80
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c119,sdef8,sdef80,sdef81]) ).
cnf(c120,plain,
( def5
| ~ 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])],[f4_sk]) ).
cnf(ssp66,plain,
( spl82
| spl81 ),
inference(avatar_split_clause,[status(thm)],[c120,sdef81,sdef82]) ).
cnf(c121,plain,
( op(e2,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])],[f4_sk]) ).
cnf(ssp67,plain,
( spl82
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c121,sdef40,sdef82]) ).
cnf(c122,plain,
( def6
| op(e2,e2) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp68,plain,
( spl84
| spl83
| spl78 ),
inference(avatar_split_clause,[status(thm)],[c122,sdef78,sdef83,sdef84]) ).
cnf(c123,plain,
( def6
| def4
| ~ 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])],[f4_sk]) ).
cnf(ssp69,plain,
( spl85
| spl84
| spl77 ),
inference(avatar_split_clause,[status(thm)],[c123,sdef77,sdef84,sdef85]) ).
cnf(c124,plain,
( def7
| ~ 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])],[f4_sk]) ).
cnf(ssp70,plain,
( spl86
| spl76 ),
inference(avatar_split_clause,[status(thm)],[c124,sdef76,sdef86]) ).
cnf(c125,plain,
( def7
| ~ 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])],[f4_sk]) ).
cnf(ssp71,plain,
( spl86
| spl82 ),
inference(avatar_split_clause,[status(thm)],[c125,sdef82,sdef86]) ).
cnf(c126,plain,
( op(e0,e0) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp72,plain,
( spl87
| spl3 ),
inference(avatar_split_clause,[status(thm)],[c126,sdef3,sdef87]) ).
cnf(c127,plain,
( 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])],[f4_sk]) ).
cnf(ssp73,plain,
( spl88
| spl87 ),
inference(avatar_split_clause,[status(thm)],[c127,sdef87,sdef88]) ).
cnf(c128,plain,
( def8
| op(e0,e3) = e0
| 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])],[f4_sk]) ).
cnf(ssp74,plain,
( spl90
| spl89
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c128,sdef12,sdef89,sdef90]) ).
cnf(c129,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])],[f4_sk]) ).
cnf(ssp75,plain,
( spl91
| spl90 ),
inference(avatar_split_clause,[status(thm)],[c129,sdef90,sdef91]) ).
cnf(c130,plain,
( op(e3,e3) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp76,plain,
( spl91
| spl60 ),
inference(avatar_split_clause,[status(thm)],[c130,sdef60,sdef91]) ).
cnf(c131,plain,
( def9
| op(e3,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])],[f4_sk]) ).
cnf(ssp77,plain,
( spl93
| spl92
| spl87 ),
inference(avatar_split_clause,[status(thm)],[c131,sdef87,sdef92,sdef93]) ).
cnf(c132,plain,
( def9
| def7
| ~ 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])],[f4_sk]) ).
cnf(ssp78,plain,
( spl94
| spl93
| spl86 ),
inference(avatar_split_clause,[status(thm)],[c132,sdef86,sdef93,sdef94]) ).
cnf(c133,plain,
( def10
| ~ 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])],[f4_sk]) ).
cnf(ssp79,plain,
( spl95
| spl85 ),
inference(avatar_split_clause,[status(thm)],[c133,sdef85,sdef95]) ).
cnf(c134,plain,
( 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])],[f4_sk]) ).
cnf(ssp80,plain,
( spl95
| spl91 ),
inference(avatar_split_clause,[status(thm)],[c134,sdef91,sdef95]) ).
cnf(c135,plain,
( op(e1,e1) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp81,plain,
( spl96
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c135,sdef20,sdef96]) ).
cnf(c136,plain,
( op(e1,e0) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp82,plain,
( spl97
| spl96 ),
inference(avatar_split_clause,[status(thm)],[c136,sdef96,sdef97]) ).
cnf(c137,plain,
( def11
| op(e1,e0) = e1
| 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])],[f4_sk]) ).
cnf(ssp83,plain,
( spl98
| spl74
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c137,sdef17,sdef74,sdef98]) ).
cnf(c138,plain,
( def11
| ~ 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])],[f4_sk]) ).
cnf(ssp84,plain,
( spl99
| spl98 ),
inference(avatar_split_clause,[status(thm)],[c138,sdef98,sdef99]) ).
cnf(c139,plain,
( op(e0,e0) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp85,plain,
( spl99
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c139,sdef1,sdef99]) ).
cnf(c140,plain,
( def12
| op(e0,e0) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp86,plain,
( spl100
| spl96
| spl71 ),
inference(avatar_split_clause,[status(thm)],[c140,sdef71,sdef96,sdef100]) ).
cnf(c141,plain,
( def12
| def10
| ~ 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])],[f4_sk]) ).
cnf(ssp87,plain,
( spl101
| spl100
| spl95 ),
inference(avatar_split_clause,[status(thm)],[c141,sdef95,sdef100,sdef101]) ).
cnf(c142,plain,
( def13
| ~ 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])],[f4_sk]) ).
cnf(ssp88,plain,
( spl102
| spl94 ),
inference(avatar_split_clause,[status(thm)],[c142,sdef94,sdef102]) ).
cnf(c143,plain,
( def13
| ~ 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])],[f4_sk]) ).
cnf(ssp89,plain,
( spl102
| spl99 ),
inference(avatar_split_clause,[status(thm)],[c143,sdef99,sdef102]) ).
cnf(c144,plain,
( op(e1,e1) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp90,plain,
( spl103
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c144,sdef21,sdef103]) ).
cnf(c145,plain,
( op(e1,e1) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp91,plain,
( spl104
| spl103 ),
inference(avatar_split_clause,[status(thm)],[c145,sdef103,sdef104]) ).
cnf(c146,plain,
( def14
| op(e1,e1) = e1
| 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])],[f4_sk]) ).
cnf(ssp92,plain,
( spl105
| spl104
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c146,sdef21,sdef104,sdef105]) ).
cnf(c147,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])],[f4_sk]) ).
cnf(ssp93,plain,
( spl106
| spl105 ),
inference(avatar_split_clause,[status(thm)],[c147,sdef105,sdef106]) ).
cnf(c148,plain,
( op(e1,e1) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp94,plain,
( spl106
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c148,sdef21,sdef106]) ).
cnf(c149,plain,
( def15
| op(e1,e1) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp95,plain,
( spl107
| spl104
| spl103 ),
inference(avatar_split_clause,[status(thm)],[c149,sdef103,sdef104,sdef107]) ).
cnf(c150,plain,
( def15
| def13
| ~ 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])],[f4_sk]) ).
cnf(ssp96,plain,
( spl108
| spl107
| spl102 ),
inference(avatar_split_clause,[status(thm)],[c150,sdef102,sdef107,sdef108]) ).
cnf(c151,plain,
( def16
| ~ 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])],[f4_sk]) ).
cnf(ssp97,plain,
( spl109
| spl101 ),
inference(avatar_split_clause,[status(thm)],[c151,sdef101,sdef109]) ).
cnf(c152,plain,
( 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])],[f4_sk]) ).
cnf(ssp98,plain,
( spl109
| spl106 ),
inference(avatar_split_clause,[status(thm)],[c152,sdef106,sdef109]) ).
cnf(c153,plain,
( op(e1,e1) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp99,plain,
( spl110
| spl22 ),
inference(avatar_split_clause,[status(thm)],[c153,sdef22,sdef110]) ).
cnf(c154,plain,
( op(e1,e2) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp100,plain,
( spl111
| spl110 ),
inference(avatar_split_clause,[status(thm)],[c154,sdef110,sdef111]) ).
cnf(c155,plain,
( def17
| op(e1,e2) = e1
| 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])],[f4_sk]) ).
cnf(ssp101,plain,
( spl113
| spl112
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c155,sdef25,sdef112,sdef113]) ).
cnf(c156,plain,
( def17
| ~ 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])],[f4_sk]) ).
cnf(ssp102,plain,
( spl114
| spl113 ),
inference(avatar_split_clause,[status(thm)],[c156,sdef113,sdef114]) ).
cnf(c157,plain,
( op(e2,e2) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp103,plain,
( spl114
| spl41 ),
inference(avatar_split_clause,[status(thm)],[c157,sdef41,sdef114]) ).
cnf(c158,plain,
( def18
| op(e2,e2) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp104,plain,
( spl116
| spl115
| spl110 ),
inference(avatar_split_clause,[status(thm)],[c158,sdef110,sdef115,sdef116]) ).
cnf(c159,plain,
( def18
| def16
| ~ 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])],[f4_sk]) ).
cnf(ssp105,plain,
( spl117
| spl116
| spl109 ),
inference(avatar_split_clause,[status(thm)],[c159,sdef109,sdef116,sdef117]) ).
cnf(c160,plain,
( def19
| ~ 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])],[f4_sk]) ).
cnf(ssp106,plain,
( spl118
| spl108 ),
inference(avatar_split_clause,[status(thm)],[c160,sdef108,sdef118]) ).
cnf(c161,plain,
( def19
| ~ 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])],[f4_sk]) ).
cnf(ssp107,plain,
( spl118
| spl114 ),
inference(avatar_split_clause,[status(thm)],[c161,sdef114,sdef118]) ).
cnf(c162,plain,
( op(e1,e1) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp108,plain,
( spl119
| spl23 ),
inference(avatar_split_clause,[status(thm)],[c162,sdef23,sdef119]) ).
cnf(c163,plain,
( op(e1,e3) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp109,plain,
( spl120
| spl119 ),
inference(avatar_split_clause,[status(thm)],[c163,sdef119,sdef120]) ).
cnf(c164,plain,
( def20
| op(e1,e3) = e1
| 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])],[f4_sk]) ).
cnf(ssp110,plain,
( spl122
| spl121
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c164,sdef29,sdef121,sdef122]) ).
cnf(c165,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])],[f4_sk]) ).
cnf(ssp111,plain,
( spl123
| spl122 ),
inference(avatar_split_clause,[status(thm)],[c165,sdef122,sdef123]) ).
cnf(c166,plain,
( op(e3,e3) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp112,plain,
( spl123
| spl61 ),
inference(avatar_split_clause,[status(thm)],[c166,sdef61,sdef123]) ).
cnf(c167,plain,
( def21
| op(e3,e3) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp113,plain,
( spl125
| spl124
| spl119 ),
inference(avatar_split_clause,[status(thm)],[c167,sdef119,sdef124,sdef125]) ).
cnf(c168,plain,
( def21
| def19
| ~ 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])],[f4_sk]) ).
cnf(ssp114,plain,
( spl126
| spl125
| spl118 ),
inference(avatar_split_clause,[status(thm)],[c168,sdef118,sdef125,sdef126]) ).
cnf(c169,plain,
( def22
| ~ 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])],[f4_sk]) ).
cnf(ssp115,plain,
( spl127
| spl117 ),
inference(avatar_split_clause,[status(thm)],[c169,sdef117,sdef127]) ).
cnf(c170,plain,
( 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])],[f4_sk]) ).
cnf(ssp116,plain,
( spl127
| spl123 ),
inference(avatar_split_clause,[status(thm)],[c170,sdef123,sdef127]) ).
cnf(c171,plain,
( op(e2,e2) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp117,plain,
( spl128
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c171,sdef40,sdef128]) ).
cnf(c172,plain,
( op(e2,e0) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp118,plain,
( spl129
| spl128 ),
inference(avatar_split_clause,[status(thm)],[c172,sdef128,sdef129]) ).
cnf(c173,plain,
( def23
| op(e2,e0) = e2
| 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])],[f4_sk]) ).
cnf(ssp119,plain,
( spl130
| spl83
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c173,sdef34,sdef83,sdef130]) ).
cnf(c174,plain,
( def23
| ~ 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])],[f4_sk]) ).
cnf(ssp120,plain,
( spl131
| spl130 ),
inference(avatar_split_clause,[status(thm)],[c174,sdef130,sdef131]) ).
cnf(c175,plain,
( op(e0,e0) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp121,plain,
( spl131
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c175,sdef2,sdef131]) ).
cnf(c176,plain,
( def24
| op(e0,e0) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp122,plain,
( spl132
| spl128
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c176,sdef80,sdef128,sdef132]) ).
cnf(c177,plain,
( def24
| def22
| ~ 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])],[f4_sk]) ).
cnf(ssp123,plain,
( spl133
| spl132
| spl127 ),
inference(avatar_split_clause,[status(thm)],[c177,sdef127,sdef132,sdef133]) ).
cnf(c178,plain,
( def25
| ~ 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])],[f4_sk]) ).
cnf(ssp124,plain,
( spl134
| spl126 ),
inference(avatar_split_clause,[status(thm)],[c178,sdef126,sdef134]) ).
cnf(c179,plain,
( def25
| ~ 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])],[f4_sk]) ).
cnf(ssp125,plain,
( spl134
| spl131 ),
inference(avatar_split_clause,[status(thm)],[c179,sdef131,sdef134]) ).
cnf(c180,plain,
( op(e2,e2) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp126,plain,
( spl135
| spl41 ),
inference(avatar_split_clause,[status(thm)],[c180,sdef41,sdef135]) ).
cnf(c181,plain,
( op(e2,e1) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp127,plain,
( spl136
| spl135 ),
inference(avatar_split_clause,[status(thm)],[c181,sdef135,sdef136]) ).
cnf(c182,plain,
( def26
| op(e2,e1) = e2
| 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])],[f4_sk]) ).
cnf(ssp128,plain,
( spl137
| spl115
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c182,sdef38,sdef115,sdef137]) ).
cnf(c183,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])],[f4_sk]) ).
cnf(ssp129,plain,
( spl138
| spl137 ),
inference(avatar_split_clause,[status(thm)],[c183,sdef137,sdef138]) ).
cnf(c184,plain,
( op(e1,e1) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp130,plain,
( spl138
| spl22 ),
inference(avatar_split_clause,[status(thm)],[c184,sdef22,sdef138]) ).
cnf(c185,plain,
( def27
| op(e1,e1) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp131,plain,
( spl139
| spl135
| spl112 ),
inference(avatar_split_clause,[status(thm)],[c185,sdef112,sdef135,sdef139]) ).
cnf(c186,plain,
( def27
| def25
| ~ 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])],[f4_sk]) ).
cnf(ssp132,plain,
( spl140
| spl139
| spl134 ),
inference(avatar_split_clause,[status(thm)],[c186,sdef134,sdef139,sdef140]) ).
cnf(c187,plain,
( def28
| ~ 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])],[f4_sk]) ).
cnf(ssp133,plain,
( spl141
| spl133 ),
inference(avatar_split_clause,[status(thm)],[c187,sdef133,sdef141]) ).
cnf(c188,plain,
( 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])],[f4_sk]) ).
cnf(ssp134,plain,
( spl141
| spl138 ),
inference(avatar_split_clause,[status(thm)],[c188,sdef138,sdef141]) ).
cnf(c189,plain,
( op(e2,e2) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp135,plain,
( spl142
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c189,sdef42,sdef142]) ).
cnf(c190,plain,
( op(e2,e2) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp136,plain,
( spl143
| spl142 ),
inference(avatar_split_clause,[status(thm)],[c190,sdef142,sdef143]) ).
cnf(c191,plain,
( def29
| op(e2,e2) = e2
| op(e2,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])],[f4_sk]) ).
cnf(ssp137,plain,
( spl144
| spl143
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c191,sdef42,sdef143,sdef144]) ).
cnf(c192,plain,
( def29
| ~ 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])],[f4_sk]) ).
cnf(ssp138,plain,
( spl145
| spl144 ),
inference(avatar_split_clause,[status(thm)],[c192,sdef144,sdef145]) ).
cnf(c193,plain,
( op(e2,e2) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp139,plain,
( spl145
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c193,sdef42,sdef145]) ).
cnf(c194,plain,
( def30
| op(e2,e2) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp140,plain,
( spl146
| spl143
| spl142 ),
inference(avatar_split_clause,[status(thm)],[c194,sdef142,sdef143,sdef146]) ).
cnf(c195,plain,
( def30
| def28
| ~ 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])],[f4_sk]) ).
cnf(ssp141,plain,
( spl147
| spl146
| spl141 ),
inference(avatar_split_clause,[status(thm)],[c195,sdef141,sdef146,sdef147]) ).
cnf(c196,plain,
( def31
| ~ 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])],[f4_sk]) ).
cnf(ssp142,plain,
( spl148
| spl140 ),
inference(avatar_split_clause,[status(thm)],[c196,sdef140,sdef148]) ).
cnf(c197,plain,
( def31
| ~ 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])],[f4_sk]) ).
cnf(ssp143,plain,
( spl148
| spl145 ),
inference(avatar_split_clause,[status(thm)],[c197,sdef145,sdef148]) ).
cnf(c198,plain,
( op(e2,e2) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp144,plain,
( spl149
| spl43 ),
inference(avatar_split_clause,[status(thm)],[c198,sdef43,sdef149]) ).
cnf(c199,plain,
( op(e2,e3) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp145,plain,
( spl150
| spl149 ),
inference(avatar_split_clause,[status(thm)],[c199,sdef149,sdef150]) ).
cnf(c200,plain,
( def32
| op(e2,e3) = e2
| op(e2,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])],[f4_sk]) ).
cnf(ssp146,plain,
( spl152
| spl151
| spl46 ),
inference(avatar_split_clause,[status(thm)],[c200,sdef46,sdef151,sdef152]) ).
cnf(c201,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])],[f4_sk]) ).
cnf(ssp147,plain,
( spl153
| spl152 ),
inference(avatar_split_clause,[status(thm)],[c201,sdef152,sdef153]) ).
cnf(c202,plain,
( op(e3,e3) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp148,plain,
( spl153
| spl62 ),
inference(avatar_split_clause,[status(thm)],[c202,sdef62,sdef153]) ).
cnf(c203,plain,
( def33
| op(e3,e3) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp149,plain,
( spl155
| spl154
| spl149 ),
inference(avatar_split_clause,[status(thm)],[c203,sdef149,sdef154,sdef155]) ).
cnf(c204,plain,
( def33
| def31
| ~ 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])],[f4_sk]) ).
cnf(ssp150,plain,
( spl156
| spl155
| spl148 ),
inference(avatar_split_clause,[status(thm)],[c204,sdef148,sdef155,sdef156]) ).
cnf(c205,plain,
( def34
| ~ 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])],[f4_sk]) ).
cnf(ssp151,plain,
( spl157
| spl147 ),
inference(avatar_split_clause,[status(thm)],[c205,sdef147,sdef157]) ).
cnf(c206,plain,
( def34
| ~ 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])],[f4_sk]) ).
cnf(ssp152,plain,
( spl157
| spl153 ),
inference(avatar_split_clause,[status(thm)],[c206,sdef153,sdef157]) ).
cnf(c207,plain,
( op(e3,e3) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp153,plain,
( spl158
| spl60 ),
inference(avatar_split_clause,[status(thm)],[c207,sdef60,sdef158]) ).
cnf(c208,plain,
( op(e3,e0) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp154,plain,
( spl159
| spl158 ),
inference(avatar_split_clause,[status(thm)],[c208,sdef158,sdef159]) ).
cnf(c209,plain,
( def35
| op(e3,e0) = e3
| 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])],[f4_sk]) ).
cnf(ssp155,plain,
( spl160
| spl92
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c209,sdef51,sdef92,sdef160]) ).
cnf(c210,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])],[f4_sk]) ).
cnf(ssp156,plain,
( spl161
| spl160 ),
inference(avatar_split_clause,[status(thm)],[c210,sdef160,sdef161]) ).
cnf(c211,plain,
( op(e0,e0) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp157,plain,
( spl161
| spl3 ),
inference(avatar_split_clause,[status(thm)],[c211,sdef3,sdef161]) ).
cnf(c212,plain,
( def36
| op(e0,e0) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp158,plain,
( spl162
| spl158
| spl89 ),
inference(avatar_split_clause,[status(thm)],[c212,sdef89,sdef158,sdef162]) ).
cnf(c213,plain,
( def36
| def34
| ~ 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])],[f4_sk]) ).
cnf(ssp159,plain,
( spl163
| spl162
| spl157 ),
inference(avatar_split_clause,[status(thm)],[c213,sdef157,sdef162,sdef163]) ).
cnf(c214,plain,
( def37
| ~ 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])],[f4_sk]) ).
cnf(ssp160,plain,
( spl164
| spl156 ),
inference(avatar_split_clause,[status(thm)],[c214,sdef156,sdef164]) ).
cnf(c215,plain,
( 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])],[f4_sk]) ).
cnf(ssp161,plain,
( spl164
| spl161 ),
inference(avatar_split_clause,[status(thm)],[c215,sdef161,sdef164]) ).
cnf(c216,plain,
( op(e3,e3) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp162,plain,
( spl165
| spl61 ),
inference(avatar_split_clause,[status(thm)],[c216,sdef61,sdef165]) ).
cnf(c217,plain,
( op(e3,e1) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp163,plain,
( spl166
| spl165 ),
inference(avatar_split_clause,[status(thm)],[c217,sdef165,sdef166]) ).
cnf(c218,plain,
( def38
| op(e3,e1) = e3
| 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])],[f4_sk]) ).
cnf(ssp164,plain,
( spl167
| spl124
| spl55 ),
inference(avatar_split_clause,[status(thm)],[c218,sdef55,sdef124,sdef167]) ).
cnf(c219,plain,
( def38
| ~ 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])],[f4_sk]) ).
cnf(ssp165,plain,
( spl168
| spl167 ),
inference(avatar_split_clause,[status(thm)],[c219,sdef167,sdef168]) ).
cnf(c220,plain,
( op(e1,e1) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp166,plain,
( spl168
| spl23 ),
inference(avatar_split_clause,[status(thm)],[c220,sdef23,sdef168]) ).
cnf(c221,plain,
( def39
| op(e1,e1) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp167,plain,
( spl169
| spl165
| spl121 ),
inference(avatar_split_clause,[status(thm)],[c221,sdef121,sdef165,sdef169]) ).
cnf(c222,plain,
( def39
| def37
| ~ 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])],[f4_sk]) ).
cnf(ssp168,plain,
( spl170
| spl169
| spl164 ),
inference(avatar_split_clause,[status(thm)],[c222,sdef164,sdef169,sdef170]) ).
cnf(c223,plain,
( def40
| ~ 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])],[f4_sk]) ).
cnf(ssp169,plain,
( spl171
| spl163 ),
inference(avatar_split_clause,[status(thm)],[c223,sdef163,sdef171]) ).
cnf(c224,plain,
( def40
| ~ 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])],[f4_sk]) ).
cnf(ssp170,plain,
( spl171
| spl168 ),
inference(avatar_split_clause,[status(thm)],[c224,sdef168,sdef171]) ).
cnf(c225,plain,
( op(e3,e3) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp171,plain,
( spl172
| spl62 ),
inference(avatar_split_clause,[status(thm)],[c225,sdef62,sdef172]) ).
cnf(c226,plain,
( op(e3,e2) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp172,plain,
( spl173
| spl172 ),
inference(avatar_split_clause,[status(thm)],[c226,sdef172,sdef173]) ).
cnf(c227,plain,
( def41
| op(e3,e2) = e3
| 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])],[f4_sk]) ).
cnf(ssp173,plain,
( spl174
| spl154
| spl59 ),
inference(avatar_split_clause,[status(thm)],[c227,sdef59,sdef154,sdef174]) ).
cnf(c228,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])],[f4_sk]) ).
cnf(ssp174,plain,
( spl175
| spl174 ),
inference(avatar_split_clause,[status(thm)],[c228,sdef174,sdef175]) ).
cnf(c229,plain,
( op(e2,e2) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp175,plain,
( spl175
| spl43 ),
inference(avatar_split_clause,[status(thm)],[c229,sdef43,sdef175]) ).
cnf(c230,plain,
( def42
| op(e2,e2) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp176,plain,
( spl176
| spl172
| spl151 ),
inference(avatar_split_clause,[status(thm)],[c230,sdef151,sdef172,sdef176]) ).
cnf(c231,plain,
( def42
| def40
| ~ 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])],[f4_sk]) ).
cnf(ssp177,plain,
( spl177
| spl176
| spl171 ),
inference(avatar_split_clause,[status(thm)],[c231,sdef171,sdef176,sdef177]) ).
cnf(c232,plain,
( def43
| ~ 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])],[f4_sk]) ).
cnf(ssp178,plain,
( spl178
| spl170 ),
inference(avatar_split_clause,[status(thm)],[c232,sdef170,sdef178]) ).
cnf(c233,plain,
( 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])],[f4_sk]) ).
cnf(ssp179,plain,
( spl178
| spl175 ),
inference(avatar_split_clause,[status(thm)],[c233,sdef175,sdef178]) ).
cnf(c234,plain,
( op(e3,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp180,plain,
( spl179
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c234,sdef63,sdef179]) ).
cnf(c235,plain,
( op(e3,e3) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp181,plain,
( spl180
| spl179 ),
inference(avatar_split_clause,[status(thm)],[c235,sdef179,sdef180]) ).
cnf(c236,plain,
( def44
| op(e3,e3) = e3
| op(e3,e3) != 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])],[f4_sk]) ).
cnf(ssp182,plain,
( spl181
| spl180
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c236,sdef63,sdef180,sdef181]) ).
cnf(c237,plain,
( def44
| ~ 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])],[f4_sk]) ).
cnf(ssp183,plain,
( spl182
| spl181 ),
inference(avatar_split_clause,[status(thm)],[c237,sdef181,sdef182]) ).
cnf(c238,plain,
( op(e3,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp184,plain,
( spl182
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c238,sdef63,sdef182]) ).
cnf(c239,plain,
( def45
| op(e3,e3) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp185,plain,
( spl183
| spl180
| spl179 ),
inference(avatar_split_clause,[status(thm)],[c239,sdef179,sdef180,sdef183]) ).
cnf(c240,plain,
( def45
| def43
| ~ 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])],[f4_sk]) ).
cnf(ssp186,plain,
( spl184
| spl183
| spl178 ),
inference(avatar_split_clause,[status(thm)],[c240,sdef178,sdef183,sdef184]) ).
cnf(c241,plain,
( def46
| ~ 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])],[f4_sk]) ).
fof(sdef185,definition,
( spl185
<=> def46 ),
introduced(definition,[new_symbols(naming,[spl185])],[avatar_definition]) ).
cnf(ssp187,plain,
( spl185
| spl177 ),
inference(avatar_split_clause,[status(thm)],[c241,sdef177,sdef185]) ).
cnf(c242,plain,
( def46
| ~ 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])],[f4_sk]) ).
cnf(ssp188,plain,
( spl185
| spl182 ),
inference(avatar_split_clause,[status(thm)],[c242,sdef182,sdef185]) ).
cnf(c243,plain,
( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp189,plain,
( spl186
| spl65
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c243,sdef0,sdef65,sdef186]) ).
cnf(c244,plain,
( def47
| 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])],[f4_sk]) ).
cnf(ssp190,plain,
( spl187
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c244,sdef0,sdef187]) ).
cnf(c245,plain,
( def47
| 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])],[f4_sk]) ).
cnf(ssp191,plain,
( spl187
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c245,sdef65,sdef187]) ).
cnf(c246,plain,
( op(e1,e0) = e1
| op(e1,e1) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp192,plain,
( spl188
| spl74
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c246,sdef17,sdef74,sdef188]) ).
cnf(c247,plain,
( def48
| 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])],[f4_sk]) ).
cnf(ssp193,plain,
( spl189
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c247,sdef20,sdef189]) ).
cnf(c248,plain,
( def48
| 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])],[f4_sk]) ).
cnf(ssp194,plain,
( spl189
| spl97 ),
inference(avatar_split_clause,[status(thm)],[c248,sdef97,sdef189]) ).
cnf(c249,plain,
( def47
| ~ 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])],[f4_sk]) ).
cnf(ssp195,plain,
( spl190
| spl187 ),
inference(avatar_split_clause,[status(thm)],[c249,sdef187,sdef190]) ).
cnf(c250,plain,
( def48
| ~ 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])],[f4_sk]) ).
cnf(ssp196,plain,
( spl190
| spl189 ),
inference(avatar_split_clause,[status(thm)],[c250,sdef189,sdef190]) ).
cnf(c251,plain,
( def49
| ~ def48
| ~ 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])],[f4_sk]) ).
cnf(ssp197,plain,
( spl191
| spl188
| spl186 ),
inference(avatar_split_clause,[status(thm)],[c251,sdef186,sdef188,sdef191]) ).
cnf(c252,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp198,plain,
( spl192
| spl83
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c252,sdef34,sdef83,sdef192]) ).
cnf(c253,plain,
( def50
| 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])],[f4_sk]) ).
cnf(ssp199,plain,
( spl193
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c253,sdef40,sdef193]) ).
cnf(c254,plain,
( def50
| 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])],[f4_sk]) ).
cnf(ssp200,plain,
( spl193
| spl129 ),
inference(avatar_split_clause,[status(thm)],[c254,sdef129,sdef193]) ).
cnf(c255,plain,
( def49
| ~ 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])],[f4_sk]) ).
cnf(ssp201,plain,
( spl194
| spl191 ),
inference(avatar_split_clause,[status(thm)],[c255,sdef191,sdef194]) ).
cnf(c256,plain,
( def50
| ~ 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])],[f4_sk]) ).
cnf(ssp202,plain,
( spl194
| spl193 ),
inference(avatar_split_clause,[status(thm)],[c256,sdef193,sdef194]) ).
cnf(c257,plain,
( def51
| ~ def50
| ~ 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])],[f4_sk]) ).
cnf(ssp203,plain,
( spl195
| spl192
| spl190 ),
inference(avatar_split_clause,[status(thm)],[c257,sdef190,sdef192,sdef195]) ).
cnf(c258,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp204,plain,
( spl196
| spl92
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c258,sdef51,sdef92,sdef196]) ).
cnf(c259,plain,
( def52
| 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])],[f4_sk]) ).
cnf(ssp205,plain,
( spl197
| spl60 ),
inference(avatar_split_clause,[status(thm)],[c259,sdef60,sdef197]) ).
cnf(c260,plain,
( def52
| 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])],[f4_sk]) ).
cnf(ssp206,plain,
( spl197
| spl159 ),
inference(avatar_split_clause,[status(thm)],[c260,sdef159,sdef197]) ).
cnf(c261,plain,
( def51
| ~ 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])],[f4_sk]) ).
cnf(ssp207,plain,
( spl198
| spl195 ),
inference(avatar_split_clause,[status(thm)],[c261,sdef195,sdef198]) ).
cnf(c262,plain,
( def52
| ~ 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])],[f4_sk]) ).
cnf(ssp208,plain,
( spl198
| spl197 ),
inference(avatar_split_clause,[status(thm)],[c262,sdef197,sdef198]) ).
cnf(c263,plain,
( def53
| ~ def52
| ~ 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])],[f4_sk]) ).
cnf(ssp209,plain,
( spl199
| spl196
| spl194 ),
inference(avatar_split_clause,[status(thm)],[c263,sdef194,sdef196,sdef199]) ).
cnf(c264,plain,
( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp210,plain,
( spl200
| spl65
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c264,sdef0,sdef65,sdef200]) ).
cnf(c265,plain,
( def54
| 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])],[f4_sk]) ).
cnf(ssp211,plain,
( spl201
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c265,sdef0,sdef201]) ).
cnf(c266,plain,
( def54
| 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])],[f4_sk]) ).
cnf(ssp212,plain,
( spl201
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c266,sdef65,sdef201]) ).
cnf(c267,plain,
( def53
| ~ 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])],[f4_sk]) ).
cnf(ssp213,plain,
( spl202
| spl199 ),
inference(avatar_split_clause,[status(thm)],[c267,sdef199,sdef202]) ).
cnf(c268,plain,
( def54
| ~ 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])],[f4_sk]) ).
cnf(ssp214,plain,
( spl202
| spl201 ),
inference(avatar_split_clause,[status(thm)],[c268,sdef201,sdef202]) ).
cnf(c269,plain,
( def55
| ~ def54
| ~ 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])],[f4_sk]) ).
cnf(ssp215,plain,
( spl203
| spl200
| spl198 ),
inference(avatar_split_clause,[status(thm)],[c269,sdef198,sdef200,sdef203]) ).
cnf(c270,plain,
( op(e1,e1) = e0
| op(e1,e0) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp216,plain,
( spl204
| spl97
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c270,sdef20,sdef97,sdef204]) ).
cnf(c271,plain,
( def56
| 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])],[f4_sk]) ).
cnf(ssp217,plain,
( spl205
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c271,sdef17,sdef205]) ).
cnf(c272,plain,
( def56
| 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])],[f4_sk]) ).
cnf(ssp218,plain,
( spl205
| spl74 ),
inference(avatar_split_clause,[status(thm)],[c272,sdef74,sdef205]) ).
cnf(c273,plain,
( def55
| ~ 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])],[f4_sk]) ).
cnf(ssp219,plain,
( spl206
| spl203 ),
inference(avatar_split_clause,[status(thm)],[c273,sdef203,sdef206]) ).
cnf(c274,plain,
( def56
| ~ 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])],[f4_sk]) ).
cnf(ssp220,plain,
( spl206
| spl205 ),
inference(avatar_split_clause,[status(thm)],[c274,sdef205,sdef206]) ).
cnf(c275,plain,
( def57
| ~ def56
| ~ 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])],[f4_sk]) ).
cnf(ssp221,plain,
( spl207
| spl204
| spl202 ),
inference(avatar_split_clause,[status(thm)],[c275,sdef202,sdef204,sdef207]) ).
cnf(c276,plain,
( op(e2,e2) = e0
| op(e2,e0) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp222,plain,
( spl208
| spl129
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c276,sdef40,sdef129,sdef208]) ).
cnf(c277,plain,
( def58
| 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])],[f4_sk]) ).
cnf(ssp223,plain,
( spl209
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c277,sdef34,sdef209]) ).
cnf(c278,plain,
( def58
| 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])],[f4_sk]) ).
cnf(ssp224,plain,
( spl209
| spl83 ),
inference(avatar_split_clause,[status(thm)],[c278,sdef83,sdef209]) ).
cnf(c279,plain,
( def57
| ~ 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])],[f4_sk]) ).
cnf(ssp225,plain,
( spl210
| spl207 ),
inference(avatar_split_clause,[status(thm)],[c279,sdef207,sdef210]) ).
cnf(c280,plain,
( def58
| ~ 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])],[f4_sk]) ).
cnf(ssp226,plain,
( spl210
| spl209 ),
inference(avatar_split_clause,[status(thm)],[c280,sdef209,sdef210]) ).
cnf(c281,plain,
( def59
| ~ def58
| ~ 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])],[f4_sk]) ).
cnf(ssp227,plain,
( spl211
| spl208
| spl206 ),
inference(avatar_split_clause,[status(thm)],[c281,sdef206,sdef208,sdef211]) ).
cnf(c282,plain,
( op(e3,e3) = e0
| op(e3,e0) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp228,plain,
( spl212
| spl159
| spl60 ),
inference(avatar_split_clause,[status(thm)],[c282,sdef60,sdef159,sdef212]) ).
cnf(c283,plain,
( def60
| 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])],[f4_sk]) ).
cnf(ssp229,plain,
( spl213
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c283,sdef51,sdef213]) ).
cnf(c284,plain,
( def60
| 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])],[f4_sk]) ).
cnf(ssp230,plain,
( spl213
| spl92 ),
inference(avatar_split_clause,[status(thm)],[c284,sdef92,sdef213]) ).
cnf(c285,plain,
( def59
| ~ 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])],[f4_sk]) ).
cnf(ssp231,plain,
( spl214
| spl211 ),
inference(avatar_split_clause,[status(thm)],[c285,sdef211,sdef214]) ).
cnf(c286,plain,
( def60
| ~ 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])],[f4_sk]) ).
cnf(ssp232,plain,
( spl214
| spl213 ),
inference(avatar_split_clause,[status(thm)],[c286,sdef213,sdef214]) ).
cnf(c287,plain,
( def61
| ~ def60
| ~ 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])],[f4_sk]) ).
cnf(ssp233,plain,
( spl215
| spl212
| spl210 ),
inference(avatar_split_clause,[status(thm)],[c287,sdef210,sdef212,sdef215]) ).
cnf(c288,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp234,plain,
( spl216
| spl71
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c288,sdef4,sdef71,sdef216]) ).
cnf(c289,plain,
( def62
| 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])],[f4_sk]) ).
cnf(ssp235,plain,
( spl217
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c289,sdef1,sdef217]) ).
cnf(c290,plain,
( def62
| 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])],[f4_sk]) ).
cnf(ssp236,plain,
( spl217
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c290,sdef70,sdef217]) ).
cnf(c291,plain,
( op(e1,e1) = e1
| op(e1,e1) != 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])],[f4_sk]) ).
cnf(ssp237,plain,
( spl218
| spl104
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c291,sdef21,sdef104,sdef218]) ).
cnf(c292,plain,
( def63
| 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])],[f4_sk]) ).
cnf(ssp238,plain,
( spl219
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c292,sdef21,sdef219]) ).
cnf(c293,plain,
( def63
| 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])],[f4_sk]) ).
cnf(ssp239,plain,
( spl219
| spl104 ),
inference(avatar_split_clause,[status(thm)],[c293,sdef104,sdef219]) ).
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])],[f4_sk]) ).
cnf(ssp240,plain,
( spl220
| spl217 ),
inference(avatar_split_clause,[status(thm)],[c294,sdef217,sdef220]) ).
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])],[f4_sk]) ).
cnf(ssp241,plain,
( spl220
| spl219 ),
inference(avatar_split_clause,[status(thm)],[c295,sdef219,sdef220]) ).
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])],[f4_sk]) ).
cnf(ssp242,plain,
( spl221
| spl218
| spl216 ),
inference(avatar_split_clause,[status(thm)],[c296,sdef216,sdef218,sdef221]) ).
cnf(c297,plain,
( op(e2,e1) = e2
| op(e2,e2) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp243,plain,
( spl222
| spl115
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c297,sdef38,sdef115,sdef222]) ).
cnf(c298,plain,
( def65
| 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])],[f4_sk]) ).
cnf(ssp244,plain,
( spl223
| spl41 ),
inference(avatar_split_clause,[status(thm)],[c298,sdef41,sdef223]) ).
cnf(c299,plain,
( def65
| 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])],[f4_sk]) ).
cnf(ssp245,plain,
( spl223
| spl136 ),
inference(avatar_split_clause,[status(thm)],[c299,sdef136,sdef223]) ).
cnf(c300,plain,
( def64
| ~ 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])],[f4_sk]) ).
cnf(ssp246,plain,
( spl224
| spl221 ),
inference(avatar_split_clause,[status(thm)],[c300,sdef221,sdef224]) ).
cnf(c301,plain,
( def65
| ~ 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])],[f4_sk]) ).
cnf(ssp247,plain,
( spl224
| spl223 ),
inference(avatar_split_clause,[status(thm)],[c301,sdef223,sdef224]) ).
cnf(c302,plain,
( def66
| ~ 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])],[f4_sk]) ).
cnf(ssp248,plain,
( spl225
| spl222
| spl220 ),
inference(avatar_split_clause,[status(thm)],[c302,sdef220,sdef222,sdef225]) ).
cnf(c303,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp249,plain,
( spl226
| spl124
| spl55 ),
inference(avatar_split_clause,[status(thm)],[c303,sdef55,sdef124,sdef226]) ).
cnf(c304,plain,
( def67
| 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])],[f4_sk]) ).
cnf(ssp250,plain,
( spl227
| spl61 ),
inference(avatar_split_clause,[status(thm)],[c304,sdef61,sdef227]) ).
cnf(c305,plain,
( def67
| 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])],[f4_sk]) ).
cnf(ssp251,plain,
( spl227
| spl166 ),
inference(avatar_split_clause,[status(thm)],[c305,sdef166,sdef227]) ).
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])],[f4_sk]) ).
cnf(ssp252,plain,
( spl228
| spl225 ),
inference(avatar_split_clause,[status(thm)],[c306,sdef225,sdef228]) ).
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])],[f4_sk]) ).
cnf(ssp253,plain,
( spl228
| spl227 ),
inference(avatar_split_clause,[status(thm)],[c307,sdef227,sdef228]) ).
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])],[f4_sk]) ).
cnf(ssp254,plain,
( spl229
| spl226
| spl224 ),
inference(avatar_split_clause,[status(thm)],[c308,sdef224,sdef226,sdef229]) ).
cnf(c309,plain,
( op(e0,e0) = e1
| op(e0,e1) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp255,plain,
( spl230
| spl70
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c309,sdef1,sdef70,sdef230]) ).
cnf(c310,plain,
( def69
| 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])],[f4_sk]) ).
cnf(ssp256,plain,
( spl231
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c310,sdef4,sdef231]) ).
cnf(c311,plain,
( def69
| 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])],[f4_sk]) ).
cnf(ssp257,plain,
( spl231
| spl71 ),
inference(avatar_split_clause,[status(thm)],[c311,sdef71,sdef231]) ).
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])],[f4_sk]) ).
cnf(ssp258,plain,
( spl232
| spl229 ),
inference(avatar_split_clause,[status(thm)],[c312,sdef229,sdef232]) ).
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])],[f4_sk]) ).
cnf(ssp259,plain,
( spl232
| spl231 ),
inference(avatar_split_clause,[status(thm)],[c313,sdef231,sdef232]) ).
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])],[f4_sk]) ).
cnf(ssp260,plain,
( spl233
| spl230
| spl228 ),
inference(avatar_split_clause,[status(thm)],[c314,sdef228,sdef230,sdef233]) ).
cnf(c315,plain,
( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp261,plain,
( spl234
| spl104
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c315,sdef21,sdef104,sdef234]) ).
cnf(c316,plain,
( def71
| 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])],[f4_sk]) ).
cnf(ssp262,plain,
( spl235
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c316,sdef21,sdef235]) ).
cnf(c317,plain,
( def71
| 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])],[f4_sk]) ).
cnf(ssp263,plain,
( spl235
| spl104 ),
inference(avatar_split_clause,[status(thm)],[c317,sdef104,sdef235]) ).
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])],[f4_sk]) ).
cnf(ssp264,plain,
( spl236
| spl233 ),
inference(avatar_split_clause,[status(thm)],[c318,sdef233,sdef236]) ).
cnf(c319,plain,
( def71
| ~ 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])],[f4_sk]) ).
cnf(ssp265,plain,
( spl236
| spl235 ),
inference(avatar_split_clause,[status(thm)],[c319,sdef235,sdef236]) ).
cnf(c320,plain,
( def72
| ~ def71
| ~ 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])],[f4_sk]) ).
cnf(ssp266,plain,
( spl237
| spl234
| spl232 ),
inference(avatar_split_clause,[status(thm)],[c320,sdef232,sdef234,sdef237]) ).
cnf(c321,plain,
( op(e2,e2) = e1
| op(e2,e1) != 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])],[f4_sk]) ).
cnf(ssp267,plain,
( spl238
| spl136
| spl41 ),
inference(avatar_split_clause,[status(thm)],[c321,sdef41,sdef136,sdef238]) ).
cnf(c322,plain,
( def73
| 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])],[f4_sk]) ).
cnf(ssp268,plain,
( spl239
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c322,sdef38,sdef239]) ).
cnf(c323,plain,
( def73
| 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])],[f4_sk]) ).
cnf(ssp269,plain,
( spl239
| spl115 ),
inference(avatar_split_clause,[status(thm)],[c323,sdef115,sdef239]) ).
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])],[f4_sk]) ).
cnf(ssp270,plain,
( spl240
| spl237 ),
inference(avatar_split_clause,[status(thm)],[c324,sdef237,sdef240]) ).
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])],[f4_sk]) ).
cnf(ssp271,plain,
( spl240
| spl239 ),
inference(avatar_split_clause,[status(thm)],[c325,sdef239,sdef240]) ).
cnf(c326,plain,
( def74
| ~ def73
| ~ 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])],[f4_sk]) ).
cnf(ssp272,plain,
( spl241
| spl238
| spl236 ),
inference(avatar_split_clause,[status(thm)],[c326,sdef236,sdef238,sdef241]) ).
cnf(c327,plain,
( op(e3,e3) = e1
| op(e3,e1) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp273,plain,
( spl242
| spl166
| spl61 ),
inference(avatar_split_clause,[status(thm)],[c327,sdef61,sdef166,sdef242]) ).
cnf(c328,plain,
( def75
| 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])],[f4_sk]) ).
cnf(ssp274,plain,
( spl243
| spl55 ),
inference(avatar_split_clause,[status(thm)],[c328,sdef55,sdef243]) ).
cnf(c329,plain,
( def75
| 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])],[f4_sk]) ).
cnf(ssp275,plain,
( spl243
| spl124 ),
inference(avatar_split_clause,[status(thm)],[c329,sdef124,sdef243]) ).
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])],[f4_sk]) ).
cnf(ssp276,plain,
( spl244
| spl241 ),
inference(avatar_split_clause,[status(thm)],[c330,sdef241,sdef244]) ).
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])],[f4_sk]) ).
cnf(ssp277,plain,
( spl244
| spl243 ),
inference(avatar_split_clause,[status(thm)],[c331,sdef243,sdef244]) ).
cnf(c332,plain,
( def76
| ~ def75
| ~ 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])],[f4_sk]) ).
cnf(ssp278,plain,
( spl245
| spl242
| spl240 ),
inference(avatar_split_clause,[status(thm)],[c332,sdef240,sdef242,sdef245]) ).
cnf(c333,plain,
( def76
| def61
| ~ def77 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110])],[f4_sk]) ).
cnf(ssp279,plain,
( spl246
| spl245
| spl215 ),
inference(avatar_split_clause,[status(thm)],[c333,sdef215,sdef245,sdef246]) ).
cnf(c334,plain,
( def77
| ~ 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])],[f4_sk]) ).
cnf(ssp280,plain,
( spl247
| spl214 ),
inference(avatar_split_clause,[status(thm)],[c334,sdef214,sdef247]) ).
cnf(c335,plain,
( def77
| ~ 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])],[f4_sk]) ).
cnf(ssp281,plain,
( spl247
| spl244 ),
inference(avatar_split_clause,[status(thm)],[c335,sdef244,sdef247]) ).
cnf(c336,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp282,plain,
( spl248
| spl80
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c336,sdef8,sdef80,sdef248]) ).
cnf(c337,plain,
( def78
| 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])],[f4_sk]) ).
cnf(ssp283,plain,
( spl249
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c337,sdef2,sdef249]) ).
cnf(c338,plain,
( def78
| 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])],[f4_sk]) ).
cnf(ssp284,plain,
( spl249
| spl79 ),
inference(avatar_split_clause,[status(thm)],[c338,sdef79,sdef249]) ).
cnf(c339,plain,
( op(e1,e2) = e1
| op(e1,e1) != 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])],[f4_sk]) ).
cnf(ssp285,plain,
( spl250
| spl112
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c339,sdef25,sdef112,sdef250]) ).
cnf(c340,plain,
( def79
| 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])],[f4_sk]) ).
cnf(ssp286,plain,
( spl251
| spl22 ),
inference(avatar_split_clause,[status(thm)],[c340,sdef22,sdef251]) ).
cnf(c341,plain,
( def79
| 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])],[f4_sk]) ).
cnf(ssp287,plain,
( spl251
| spl111 ),
inference(avatar_split_clause,[status(thm)],[c341,sdef111,sdef251]) ).
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])],[f4_sk]) ).
cnf(ssp288,plain,
( spl252
| spl249 ),
inference(avatar_split_clause,[status(thm)],[c342,sdef249,sdef252]) ).
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])],[f4_sk]) ).
cnf(ssp289,plain,
( spl252
| spl251 ),
inference(avatar_split_clause,[status(thm)],[c343,sdef251,sdef252]) ).
cnf(c344,plain,
( def80
| ~ def79
| ~ 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])],[f4_sk]) ).
cnf(ssp290,plain,
( spl253
| spl250
| spl248 ),
inference(avatar_split_clause,[status(thm)],[c344,sdef248,sdef250,sdef253]) ).
cnf(c345,plain,
( op(e2,e2) = e2
| op(e2,e2) != 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])],[f4_sk]) ).
cnf(ssp291,plain,
( spl254
| spl143
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c345,sdef42,sdef143,sdef254]) ).
cnf(c346,plain,
( def81
| op(e2,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])],[f4_sk]) ).
cnf(ssp292,plain,
( spl255
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c346,sdef42,sdef255]) ).
cnf(c347,plain,
( def81
| op(e2,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])],[f4_sk]) ).
cnf(ssp293,plain,
( spl255
| spl143 ),
inference(avatar_split_clause,[status(thm)],[c347,sdef143,sdef255]) ).
cnf(c388,plain,
( def95
| 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])],[f4_sk]) ).
cnf(c54,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3046,plain,
( ~ spl7
| e3 != op(e1,e1) ),
inference(superposition,[status(thm)],[p9,c54]) ).
cnf(p3402,plain,
( ~ spl7
| e3 != e3
| def95 ),
inference(superposition,[status(thm)],[c388,p3046]) ).
cnf(p4067,plain,
( ~ spl7
| def95 ),
inference(equality_resolution,[status(thm)],[p3402]) ).
cnf(c387,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ 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])],[f4_sk]) ).
cnf(p4069,plain,
( ~ spl7
| op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(resolution,[status(thm)],[p4067,c387]) ).
cnf(ssp294,plain,
( spl121
| spl29
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p4069,sdef29,sdef121]) ).
cnf(c376,plain,
( def91
| 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])],[f4_sk]) ).
cnf(c65,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3241,plain,
( op(e2,e2) != e3
| def91 ),
inference(superposition,[status(thm)],[c376,c65]) ).
cnf(p4073,plain,
( ~ spl43
| def91 ),
inference(resolution,[status(thm)],[p3241,p54]) ).
cnf(c375,plain,
( op(e3,e3) = e2
| op(e3,e2) != e3
| ~ 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])],[f4_sk]) ).
cnf(p4075,plain,
( ~ spl43
| op(e3,e3) = e2
| op(e3,e2) != e3 ),
inference(resolution,[status(thm)],[p4073,c375]) ).
cnf(ssp295,plain,
( spl173
| spl62
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4075,sdef62,sdef173]) ).
cnf(c91,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3242,plain,
( op(e3,e0) != e3
| def91 ),
inference(superposition,[status(thm)],[c376,c91]) ).
cnf(p4088,plain,
( ~ spl51
| def91 ),
inference(resolution,[status(thm)],[p3242,p64]) ).
cnf(p4089,plain,
( ~ spl51
| op(e3,e3) = e2
| op(e3,e2) != e3 ),
inference(resolution,[status(thm)],[p4088,c375]) ).
cnf(ssp296,plain,
( spl173
| spl62
| ~ spl51 ),
inference(avatar_split_clause,[status(thm)],[p4089,sdef62,sdef173]) ).
cnf(c412,plain,
( def103
| 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])],[f4_sk]) ).
cnf(c66,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3060,plain,
( ~ spl13
| e1 != op(e1,e3) ),
inference(superposition,[status(thm)],[p17,c66]) ).
cnf(p3414,plain,
( ~ spl13
| e1 != e1
| def103 ),
inference(superposition,[status(thm)],[c412,p3060]) ).
cnf(p4096,plain,
( ~ spl13
| def103 ),
inference(equality_resolution,[status(thm)],[p3414]) ).
cnf(c411,plain,
( op(e1,e1) = e3
| op(e1,e3) != e1
| ~ def103 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110])],[f4_sk]) ).
cnf(p4097,plain,
( ~ spl13
| op(e1,e1) = e3
| op(e1,e3) != e1 ),
inference(resolution,[status(thm)],[p4096,c411]) ).
cnf(ssp297,plain,
( spl120
| spl23
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p4097,sdef23,sdef120]) ).
cnf(c418,plain,
( def105
| 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])],[f4_sk]) ).
cnf(c88,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3069,plain,
( ~ spl38
| e2 != op(e2,e3) ),
inference(superposition,[status(thm)],[p48,c88]) ).
cnf(p3418,plain,
( ~ spl38
| e2 != e2
| def105 ),
inference(superposition,[status(thm)],[c418,p3069]) ).
cnf(p4098,plain,
( ~ spl38
| def105 ),
inference(equality_resolution,[status(thm)],[p3418]) ).
cnf(c417,plain,
( op(e2,e2) = e3
| op(e2,e3) != e2
| ~ 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])],[f4_sk]) ).
cnf(p4099,plain,
( ~ spl38
| op(e2,e2) = e3
| op(e2,e3) != e2 ),
inference(resolution,[status(thm)],[p4098,c417]) ).
cnf(ssp298,plain,
( spl150
| spl43
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p4099,sdef43,sdef150]) ).
cnf(c83,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3166,plain,
( ~ spl25
| e1 != op(e1,e3) ),
inference(superposition,[status(thm)],[p32,c83]) ).
cnf(p3427,plain,
( ~ spl25
| e1 != e1
| def103 ),
inference(superposition,[status(thm)],[c412,p3166]) ).
cnf(p4100,plain,
( ~ spl25
| def103 ),
inference(equality_resolution,[status(thm)],[p3427]) ).
cnf(p4101,plain,
( ~ spl25
| op(e1,e1) = e3
| op(e1,e3) != e1 ),
inference(resolution,[status(thm)],[p4100,c411]) ).
cnf(ssp299,plain,
( spl120
| spl23
| ~ spl25 ),
inference(avatar_split_clause,[status(thm)],[p4101,sdef23,sdef120]) ).
cnf(c393,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| ~ 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])],[f4_sk]) ).
cnf(c429,plain,
( def108
| def93
| ~ 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])],[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])],[f4_sk]) ).
cnf(p952,plain,
def109,
inference(resolution,[status(thm)],[c433,c435]) ).
cnf(p3225,plain,
( def108
| def93 ),
inference(resolution,[status(thm)],[c429,p952]) ).
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])],[f4_sk]) ).
cnf(p3226,plain,
( def106
| def93 ),
inference(resolution,[status(thm)],[p3225,c426]) ).
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])],[f4_sk]) ).
cnf(p3230,plain,
( def104
| def93 ),
inference(resolution,[status(thm)],[p3226,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])],[f4_sk]) ).
cnf(p3233,plain,
( def102
| def93 ),
inference(resolution,[status(thm)],[p3230,c414]) ).
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])],[f4_sk]) ).
cnf(p3235,plain,
( def100
| def93 ),
inference(resolution,[status(thm)],[p3233,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])],[f4_sk]) ).
cnf(p3247,plain,
( def98
| def93 ),
inference(resolution,[status(thm)],[p3235,c402]) ).
cnf(c397,plain,
( def97
| ~ 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])],[f4_sk]) ).
cnf(p3251,plain,
( def97
| def93 ),
inference(resolution,[status(thm)],[p3247,c397]) ).
cnf(p3292,plain,
( def93
| op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(resolution,[status(thm)],[c393,p3251]) ).
cnf(p4186,plain,
( ~ spl43
| def93
| op(e2,e3) = e2 ),
inference(resolution,[status(thm)],[p3292,p54]) ).
cnf(p4479,plain,
( ~ spl150
| ~ spl43
| def93 ),
inference(resolution,[status(thm)],[p4186,p350]) ).
cnf(c381,plain,
( def92
| def77
| ~ def93 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110])],[f4_sk]) ).
cnf(p4483,plain,
( ~ spl150
| ~ spl43
| def92
| def77 ),
inference(resolution,[status(thm)],[p4479,c381]) ).
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])],[f4_sk]) ).
cnf(p4486,plain,
( ~ spl150
| ~ spl43
| def90
| def77 ),
inference(resolution,[status(thm)],[p4483,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])],[f4_sk]) ).
cnf(p4488,plain,
( ~ spl150
| ~ spl43
| def88
| def77 ),
inference(resolution,[status(thm)],[p4486,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])],[f4_sk]) ).
cnf(p4491,plain,
( ~ spl150
| ~ spl43
| def87
| def77 ),
inference(resolution,[status(thm)],[p4488,c367]) ).
cnf(c363,plain,
( op(e1,e1) = e2
| op(e1,e2) != e1
| ~ 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])],[f4_sk]) ).
cnf(p4496,plain,
( ~ spl150
| ~ spl43
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p4491,c363]) ).
cnf(ssp300,plain,
( spl247
| spl111
| spl22
| ~ spl150
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4496,sdef22,sdef111,sdef247]) ).
cnf(c71,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2675,plain,
( ~ spl62
| op(e2,e3) != e2 ),
inference(superposition,[status(thm)],[p78,c71]) ).
cnf(p4480,plain,
( ~ spl62
| ~ spl43
| def93 ),
inference(resolution,[status(thm)],[p4186,p2675]) ).
cnf(p4484,plain,
( ~ spl62
| ~ spl43
| def92
| def77 ),
inference(resolution,[status(thm)],[p4480,c381]) ).
cnf(p4487,plain,
( ~ spl62
| ~ spl43
| def90
| def77 ),
inference(resolution,[status(thm)],[p4484,c378]) ).
cnf(p4489,plain,
( ~ spl62
| ~ spl43
| def88
| def77 ),
inference(resolution,[status(thm)],[p4487,c372]) ).
cnf(p4493,plain,
( ~ spl62
| ~ spl43
| def87
| def77 ),
inference(resolution,[status(thm)],[p4489,c367]) ).
cnf(p4531,plain,
( ~ spl62
| ~ spl43
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p4493,c363]) ).
cnf(ssp301,plain,
( spl247
| spl111
| spl22
| ~ spl62
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4531,sdef22,sdef111,sdef247]) ).
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])],[f4_sk]) ).
cnf(p4490,plain,
( ~ spl150
| ~ spl43
| def86
| def77 ),
inference(resolution,[status(thm)],[p4488,c366]) ).
cnf(c361,plain,
( def85
| ~ 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])],[f4_sk]) ).
cnf(p4495,plain,
( ~ spl150
| ~ spl43
| def85
| def77 ),
inference(resolution,[status(thm)],[p4490,c361]) ).
cnf(c357,plain,
( op(e0,e0) = e2
| op(e0,e2) != e0
| ~ def85 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82,def83,def84,def85,def86,def87,def88,def89,def90,def91,def92,def93,def94,def95,def96,def97,def98,def99,def100,def101,def102,def103,def104,def105,def106,def107,def108,def109,def110])],[f4_sk]) ).
cnf(p4535,plain,
( ~ spl150
| ~ spl43
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p4495,c357]) ).
cnf(ssp302,plain,
( spl247
| spl79
| spl2
| ~ spl150
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4535,sdef2,sdef79,sdef247]) ).
cnf(p4492,plain,
( ~ spl62
| ~ spl43
| def86
| def77 ),
inference(resolution,[status(thm)],[p4489,c366]) ).
cnf(p4530,plain,
( ~ spl62
| ~ spl43
| def85
| def77 ),
inference(resolution,[status(thm)],[p4492,c361]) ).
cnf(p4539,plain,
( ~ spl62
| ~ spl43
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p4530,c357]) ).
cnf(ssp303,plain,
( spl247
| spl79
| spl2
| ~ spl62
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4539,sdef2,sdef79,sdef247]) ).
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])],[f4_sk]) ).
cnf(p4494,plain,
( ~ spl150
| ~ spl43
| def84
| def77 ),
inference(resolution,[status(thm)],[p4490,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])],[f4_sk]) ).
cnf(p4532,plain,
( ~ spl150
| ~ spl43
| def82
| def77 ),
inference(resolution,[status(thm)],[p4494,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])],[f4_sk]) ).
cnf(p4540,plain,
( ~ spl150
| ~ spl43
| def80
| def77 ),
inference(resolution,[status(thm)],[p4532,c348]) ).
cnf(ssp304,plain,
( spl253
| spl247
| ~ spl150
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4540,sdef247,sdef253]) ).
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])],[f4_sk]) ).
cnf(p4541,plain,
( ~ spl150
| ~ spl43
| def81
| def77 ),
inference(resolution,[status(thm)],[p4532,c349]) ).
cnf(ssp305,plain,
( spl255
| spl247
| ~ spl150
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4541,sdef247,sdef255]) ).
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])],[f4_sk]) ).
cnf(p4533,plain,
( ~ spl150
| ~ spl43
| def83
| def77 ),
inference(resolution,[status(thm)],[p4494,c355]) ).
cnf(c351,plain,
( op(e3,e2) = e3
| op(e3,e3) != 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])],[f4_sk]) ).
cnf(p4542,plain,
( ~ spl150
| ~ spl43
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p4533,c351]) ).
cnf(ssp306,plain,
( spl247
| spl154
| spl59
| ~ spl150
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4542,sdef59,sdef154,sdef247]) ).
cnf(p4529,plain,
( ~ spl62
| ~ spl43
| def84
| def77 ),
inference(resolution,[status(thm)],[p4492,c360]) ).
cnf(p4536,plain,
( ~ spl62
| ~ spl43
| def82
| def77 ),
inference(resolution,[status(thm)],[p4529,c354]) ).
cnf(p4543,plain,
( ~ spl62
| ~ spl43
| def80
| def77 ),
inference(resolution,[status(thm)],[p4536,c348]) ).
cnf(ssp307,plain,
( spl253
| spl247
| ~ spl62
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4543,sdef247,sdef253]) ).
cnf(p4544,plain,
( ~ spl62
| ~ spl43
| def81
| def77 ),
inference(resolution,[status(thm)],[p4536,c349]) ).
cnf(ssp308,plain,
( spl255
| spl247
| ~ spl62
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p4544,sdef247,sdef255]) ).
cnf(c364,plain,
( def87
| 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])],[f4_sk]) ).
cnf(c60,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3208,plain,
( op(e0,e2) != e1
| def87 ),
inference(superposition,[status(thm)],[c364,c60]) ).
cnf(p4553,plain,
( ~ spl9
| def87 ),
inference(resolution,[status(thm)],[p12,p3208]) ).
cnf(p4558,plain,
( ~ spl9
| op(e1,e1) = e2
| op(e1,e2) != e1 ),
inference(resolution,[status(thm)],[p4553,c363]) ).
cnf(ssp309,plain,
( spl111
| spl22
| ~ spl9 ),
inference(avatar_split_clause,[status(thm)],[p4558,sdef22,sdef111]) ).
cnf(p3279,plain,
( op(e1,e0) != e3
| def95 ),
inference(superposition,[status(thm)],[c388,c78]) ).
cnf(p4583,plain,
( ~ spl19
| def95 ),
inference(resolution,[status(thm)],[p24,p3279]) ).
cnf(p4586,plain,
( ~ spl19
| op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(resolution,[status(thm)],[p4583,c387]) ).
cnf(ssp310,plain,
( spl121
| spl29
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p4586,sdef29,sdef121]) ).
cnf(c86,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3371,plain,
( op(e2,e0) != e2
| def105 ),
inference(superposition,[status(thm)],[c418,c86]) ).
cnf(p4635,plain,
( ~ spl34
| def105 ),
inference(resolution,[status(thm)],[p43,p3371]) ).
cnf(p4637,plain,
( ~ spl34
| op(e2,e2) = e3
| op(e2,e3) != e2 ),
inference(resolution,[status(thm)],[p4635,c417]) ).
cnf(ssp311,plain,
( spl150
| spl43
| ~ spl34 ),
inference(avatar_split_clause,[status(thm)],[p4637,sdef43,sdef150]) ).
cnf(c79,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3211,plain,
( op(e1,e0) != e1
| def87 ),
inference(superposition,[status(thm)],[c364,c79]) ).
cnf(p4908,plain,
( ~ spl17
| def87 ),
inference(resolution,[status(thm)],[p22,p3211]) ).
cnf(p4912,plain,
( ~ spl17
| op(e1,e1) = e2
| op(e1,e2) != e1 ),
inference(resolution,[status(thm)],[p4908,c363]) ).
cnf(ssp312,plain,
( spl111
| spl22
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p4912,sdef22,sdef111]) ).
cnf(c80,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3355,plain,
( op(e1,e0) != e1
| def103 ),
inference(superposition,[status(thm)],[c412,c80]) ).
cnf(p4910,plain,
( ~ spl17
| def103 ),
inference(resolution,[status(thm)],[p22,p3355]) ).
cnf(p4913,plain,
( ~ spl17
| op(e1,e1) = e3
| op(e1,e3) != e1 ),
inference(resolution,[status(thm)],[p4910,c411]) ).
cnf(ssp313,plain,
( spl120
| spl23
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p4913,sdef23,sdef120]) ).
cnf(c64,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3240,plain,
( op(e1,e2) != e3
| def91 ),
inference(superposition,[status(thm)],[c376,c64]) ).
cnf(p5195,plain,
( ~ spl27
| def91 ),
inference(resolution,[status(thm)],[p34,p3240]) ).
cnf(p5199,plain,
( ~ spl27
| op(e3,e3) = e2
| op(e3,e2) != e3 ),
inference(resolution,[status(thm)],[p5195,c375]) ).
cnf(ssp314,plain,
( spl173
| spl62
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p5199,sdef62,sdef173]) ).
cnf(c394,plain,
( def97
| op(e2,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])],[f4_sk]) ).
cnf(c63,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3296,plain,
( op(e1,e2) != e3
| def97 ),
inference(superposition,[status(thm)],[c394,c63]) ).
cnf(p5197,plain,
( ~ spl27
| def97 ),
inference(resolution,[status(thm)],[p34,p3296]) ).
cnf(p5202,plain,
( ~ spl27
| op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(resolution,[status(thm)],[p5197,c393]) ).
cnf(ssp315,plain,
( spl151
| spl46
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p5202,sdef46,sdef151]) ).
cnf(c352,plain,
( def83
| 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])],[f4_sk]) ).
cnf(c94,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3152,plain,
( op(e3,e1) != e2
| def83 ),
inference(superposition,[status(thm)],[c352,c94]) ).
cnf(p7425,plain,
( ~ spl54
| def83 ),
inference(resolution,[status(thm)],[p68,p3152]) ).
cnf(p7428,plain,
( ~ spl54
| op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(resolution,[status(thm)],[p7425,c351]) ).
cnf(ssp316,plain,
( spl154
| spl59
| ~ spl54 ),
inference(avatar_split_clause,[status(thm)],[p7428,sdef59,sdef154]) ).
cnf(p3239,plain,
( op(e0,e2) != e3
| def91 ),
inference(superposition,[status(thm)],[c376,c62]) ).
cnf(p7466,plain,
( ~ spl11
| def91 ),
inference(resolution,[status(thm)],[p14,p3239]) ).
cnf(p7473,plain,
( ~ spl11
| op(e3,e3) = e2
| op(e3,e2) != e3 ),
inference(resolution,[status(thm)],[p7466,c375]) ).
cnf(ssp317,plain,
( spl173
| spl62
| ~ spl11 ),
inference(avatar_split_clause,[status(thm)],[p7473,sdef62,sdef173]) ).
cnf(c61,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3295,plain,
( op(e0,e2) != e3
| def97 ),
inference(superposition,[status(thm)],[c394,c61]) ).
cnf(p7468,plain,
( ~ spl11
| def97 ),
inference(resolution,[status(thm)],[p14,p3295]) ).
cnf(p7475,plain,
( ~ spl11
| op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(resolution,[status(thm)],[p7468,c393]) ).
cnf(ssp318,plain,
( spl151
| spl46
| ~ spl11 ),
inference(avatar_split_clause,[status(thm)],[p7475,sdef46,sdef151]) ).
cnf(p3147,plain,
( op(e0,e3) != e2
| def83 ),
inference(superposition,[status(thm)],[c352,c68]) ).
cnf(p7487,plain,
( ~ spl14
| def83 ),
inference(resolution,[status(thm)],[p18,p3147]) ).
cnf(p7497,plain,
( ~ spl14
| op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(resolution,[status(thm)],[p7487,c351]) ).
cnf(ssp319,plain,
( spl154
| spl59
| ~ spl14 ),
inference(avatar_split_clause,[status(thm)],[p7497,sdef59,sdef154]) ).
cnf(c67,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3368,plain,
( op(e0,e3) != e2
| def105 ),
inference(superposition,[status(thm)],[c418,c67]) ).
cnf(p7491,plain,
( ~ spl14
| def105 ),
inference(resolution,[status(thm)],[p18,p3368]) ).
cnf(p7499,plain,
( ~ spl14
| op(e2,e2) = e3
| op(e2,e3) != e2 ),
inference(resolution,[status(thm)],[p7491,c417]) ).
cnf(ssp320,plain,
( spl150
| spl43
| ~ spl14 ),
inference(avatar_split_clause,[status(thm)],[p7499,sdef43,sdef150]) ).
cnf(c396,plain,
( def96
| ~ 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])],[f4_sk]) ).
cnf(p3250,plain,
( def96
| def93 ),
inference(resolution,[status(thm)],[p3247,c396]) ).
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])],[f4_sk]) ).
cnf(p3253,plain,
( def95
| def93 ),
inference(resolution,[status(thm)],[p3250,c391]) ).
cnf(p3272,plain,
( def93
| op(e1,e3) = e1
| op(e1,e1) != e3 ),
inference(resolution,[status(thm)],[c387,p3253]) ).
cnf(p7152,plain,
( ~ spl23
| def93
| op(e1,e3) = e1 ),
inference(resolution,[status(thm)],[p29,p3272]) ).
cnf(p7691,plain,
( ~ spl120
| ~ spl23
| def93 ),
inference(resolution,[status(thm)],[p7152,p284]) ).
cnf(p7696,plain,
( ~ spl120
| ~ spl23
| def92
| def77 ),
inference(resolution,[status(thm)],[p7691,c381]) ).
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])],[f4_sk]) ).
cnf(p8185,plain,
( ~ spl120
| ~ spl23
| def91
| def77 ),
inference(resolution,[status(thm)],[p7696,c379]) ).
cnf(p8238,plain,
( ~ spl120
| ~ spl23
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p8185,c375]) ).
cnf(ssp321,plain,
( spl247
| spl173
| spl62
| ~ spl120
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8238,sdef62,sdef173,sdef247]) ).
cnf(p7684,plain,
( ~ spl28
| ~ spl23
| def93
| e0 = e1 ),
inference(superposition,[status(thm)],[p36,p7152]) ).
cnf(p8367,plain,
( ~ spl28
| ~ spl23
| def93 ),
inference(resolution,[status(thm)],[p7684,c96]) ).
cnf(p8368,plain,
( ~ spl28
| ~ spl23
| def92
| def77 ),
inference(resolution,[status(thm)],[p8367,c381]) ).
cnf(p8395,plain,
( ~ spl28
| ~ spl23
| def91
| def77 ),
inference(resolution,[status(thm)],[p8368,c379]) ).
cnf(p8404,plain,
( ~ spl28
| ~ spl23
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p8395,c375]) ).
cnf(ssp322,plain,
( spl247
| spl173
| spl62
| ~ spl28
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8404,sdef62,sdef173,sdef247]) ).
cnf(p7688,plain,
( ~ spl23
| op(e1,e0) != e1
| def93 ),
inference(superposition,[status(thm)],[p7152,c80]) ).
cnf(p8384,plain,
( ~ spl23
| ~ spl17
| def93 ),
inference(resolution,[status(thm)],[p7688,p22]) ).
cnf(p8386,plain,
( ~ spl23
| ~ spl17
| def92
| def77 ),
inference(resolution,[status(thm)],[p8384,c381]) ).
cnf(p8397,plain,
( ~ spl23
| ~ spl17
| def91
| def77 ),
inference(resolution,[status(thm)],[p8386,c379]) ).
cnf(p8406,plain,
( ~ spl23
| ~ spl17
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p8397,c375]) ).
cnf(ssp323,plain,
( spl247
| spl173
| spl62
| ~ spl23
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p8406,sdef62,sdef173,sdef247]) ).
cnf(p8184,plain,
( ~ spl120
| ~ spl23
| def90
| def77 ),
inference(resolution,[status(thm)],[p7696,c378]) ).
cnf(p8237,plain,
( ~ spl120
| ~ spl23
| def88
| def77 ),
inference(resolution,[status(thm)],[p8184,c372]) ).
cnf(p8387,plain,
( ~ spl120
| ~ spl23
| def86
| def77 ),
inference(resolution,[status(thm)],[p8237,c366]) ).
cnf(p8399,plain,
( ~ spl120
| ~ spl23
| def85
| def77 ),
inference(resolution,[status(thm)],[p8387,c361]) ).
cnf(p8409,plain,
( ~ spl120
| ~ spl23
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p8399,c357]) ).
cnf(ssp324,plain,
( spl247
| spl79
| spl2
| ~ spl120
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8409,sdef2,sdef79,sdef247]) ).
cnf(p8398,plain,
( ~ spl120
| ~ spl23
| def84
| def77 ),
inference(resolution,[status(thm)],[p8387,c360]) ).
cnf(p8407,plain,
( ~ spl120
| ~ spl23
| def82
| def77 ),
inference(resolution,[status(thm)],[p8398,c354]) ).
cnf(p8413,plain,
( ~ spl120
| ~ spl23
| def80
| def77 ),
inference(resolution,[status(thm)],[p8407,c348]) ).
cnf(ssp325,plain,
( spl253
| spl247
| ~ spl120
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8413,sdef247,sdef253]) ).
cnf(p8414,plain,
( ~ spl120
| ~ spl23
| def81
| def77 ),
inference(resolution,[status(thm)],[p8407,c349]) ).
cnf(ssp326,plain,
( spl255
| spl247
| ~ spl120
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8414,sdef247,sdef255]) ).
cnf(p8408,plain,
( ~ spl120
| ~ spl23
| def83
| def77 ),
inference(resolution,[status(thm)],[p8398,c355]) ).
cnf(p8415,plain,
( ~ spl120
| ~ spl23
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p8408,c351]) ).
cnf(ssp327,plain,
( spl247
| spl154
| spl59
| ~ spl120
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8415,sdef59,sdef154,sdef247]) ).
cnf(p8394,plain,
( ~ spl28
| ~ spl23
| def90
| def77 ),
inference(resolution,[status(thm)],[p8368,c378]) ).
cnf(p8403,plain,
( ~ spl28
| ~ spl23
| def88
| def77 ),
inference(resolution,[status(thm)],[p8394,c372]) ).
cnf(p8410,plain,
( ~ spl28
| ~ spl23
| def86
| def77 ),
inference(resolution,[status(thm)],[p8403,c366]) ).
cnf(p8417,plain,
( ~ spl28
| ~ spl23
| def85
| def77 ),
inference(resolution,[status(thm)],[p8410,c361]) ).
cnf(p8423,plain,
( ~ spl28
| ~ spl23
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p8417,c357]) ).
cnf(ssp328,plain,
( spl247
| spl79
| spl2
| ~ spl28
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8423,sdef2,sdef79,sdef247]) ).
cnf(p8396,plain,
( ~ spl23
| ~ spl17
| def90
| def77 ),
inference(resolution,[status(thm)],[p8386,c378]) ).
cnf(p8405,plain,
( ~ spl23
| ~ spl17
| def88
| def77 ),
inference(resolution,[status(thm)],[p8396,c372]) ).
cnf(p8412,plain,
( ~ spl23
| ~ spl17
| def86
| def77 ),
inference(resolution,[status(thm)],[p8405,c366]) ).
cnf(p8420,plain,
( ~ spl23
| ~ spl17
| def85
| def77 ),
inference(resolution,[status(thm)],[p8412,c361]) ).
cnf(p8426,plain,
( ~ spl23
| ~ spl17
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p8420,c357]) ).
cnf(ssp329,plain,
( spl247
| spl79
| spl2
| ~ spl23
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p8426,sdef2,sdef79,sdef247]) ).
cnf(p8416,plain,
( ~ spl28
| ~ spl23
| def84
| def77 ),
inference(resolution,[status(thm)],[p8410,c360]) ).
cnf(p8421,plain,
( ~ spl28
| ~ spl23
| def82
| def77 ),
inference(resolution,[status(thm)],[p8416,c354]) ).
cnf(p8427,plain,
( ~ spl28
| ~ spl23
| def80
| def77 ),
inference(resolution,[status(thm)],[p8421,c348]) ).
cnf(ssp330,plain,
( spl253
| spl247
| ~ spl28
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8427,sdef247,sdef253]) ).
cnf(p8428,plain,
( ~ spl28
| ~ spl23
| def81
| def77 ),
inference(resolution,[status(thm)],[p8421,c349]) ).
cnf(ssp331,plain,
( spl255
| spl247
| ~ spl28
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8428,sdef247,sdef255]) ).
cnf(p8422,plain,
( ~ spl28
| ~ spl23
| def83
| def77 ),
inference(resolution,[status(thm)],[p8416,c355]) ).
cnf(p8429,plain,
( ~ spl28
| ~ spl23
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p8422,c351]) ).
cnf(ssp332,plain,
( spl247
| spl154
| spl59
| ~ spl28
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p8429,sdef59,sdef154,sdef247]) ).
cnf(p8419,plain,
( ~ spl23
| ~ spl17
| def84
| def77 ),
inference(resolution,[status(thm)],[p8412,c360]) ).
cnf(p8424,plain,
( ~ spl23
| ~ spl17
| def82
| def77 ),
inference(resolution,[status(thm)],[p8419,c354]) ).
cnf(p8430,plain,
( ~ spl23
| ~ spl17
| def80
| def77 ),
inference(resolution,[status(thm)],[p8424,c348]) ).
cnf(ssp333,plain,
( spl253
| spl247
| ~ spl23
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p8430,sdef247,sdef253]) ).
cnf(p8431,plain,
( ~ spl23
| ~ spl17
| def81
| def77 ),
inference(resolution,[status(thm)],[p8424,c349]) ).
cnf(ssp334,plain,
( spl255
| spl247
| ~ spl23
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p8431,sdef247,sdef255]) ).
cnf(p8425,plain,
( ~ spl23
| ~ spl17
| def83
| def77 ),
inference(resolution,[status(thm)],[p8419,c355]) ).
cnf(p8432,plain,
( ~ spl23
| ~ spl17
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p8425,c351]) ).
cnf(ssp335,plain,
( spl247
| spl154
| spl59
| ~ spl23
| ~ spl17 ),
inference(avatar_split_clause,[status(thm)],[p8432,sdef59,sdef154,sdef247]) ).
cnf(p3149,plain,
( op(e2,e3) != e2
| def83 ),
inference(superposition,[status(thm)],[c352,c71]) ).
cnf(p8835,plain,
( ~ spl46
| def83 ),
inference(resolution,[status(thm)],[p58,p3149]) ).
cnf(p8884,plain,
( ~ spl46
| op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(resolution,[status(thm)],[p8835,c351]) ).
cnf(ssp336,plain,
( spl154
| spl59
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p8884,sdef59,sdef154]) ).
cnf(c85,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3298,plain,
( op(e2,e0) != e3
| def97 ),
inference(superposition,[status(thm)],[c394,c85]) ).
cnf(p8844,plain,
( ~ spl35
| def97 ),
inference(resolution,[status(thm)],[p44,p3298]) ).
cnf(p8886,plain,
( ~ spl35
| op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(resolution,[status(thm)],[p8844,c393]) ).
cnf(ssp337,plain,
( spl151
| spl46
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p8886,sdef46,sdef151]) ).
cnf(p3150,plain,
( op(e3,e0) != e2
| def83 ),
inference(superposition,[status(thm)],[c352,c92]) ).
cnf(p8849,plain,
( ~ spl50
| def83 ),
inference(resolution,[status(thm)],[p63,p3150]) ).
cnf(p8893,plain,
( ~ spl50
| op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(resolution,[status(thm)],[p8849,c351]) ).
cnf(ssp338,plain,
( spl154
| spl59
| ~ spl50 ),
inference(avatar_split_clause,[status(thm)],[p8893,sdef59,sdef154]) ).
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])],[f4_sk]) ).
cnf(p3231,plain,
( def105
| def93 ),
inference(resolution,[status(thm)],[p3226,c421]) ).
cnf(p3363,plain,
( def93
| op(e2,e2) = e3
| op(e2,e3) != e2 ),
inference(resolution,[status(thm)],[c417,p3231]) ).
cnf(p8836,plain,
( ~ spl46
| def93
| op(e2,e2) = e3 ),
inference(resolution,[status(thm)],[p58,p3363]) ).
cnf(p9767,plain,
( ~ spl151
| ~ spl46
| def93 ),
inference(resolution,[status(thm)],[p8836,p352]) ).
cnf(p9773,plain,
( ~ spl151
| ~ spl46
| def92
| def77 ),
inference(resolution,[status(thm)],[p9767,c381]) ).
cnf(p9899,plain,
( ~ spl151
| ~ spl46
| def91
| def77 ),
inference(resolution,[status(thm)],[p9773,c379]) ).
cnf(p9946,plain,
( ~ spl151
| ~ spl46
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p9899,c375]) ).
cnf(ssp339,plain,
( spl247
| spl173
| spl62
| ~ spl151
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p9946,sdef62,sdef173,sdef247]) ).
cnf(p2448,plain,
( ~ spl59
| op(e2,e2) != e3 ),
inference(superposition,[status(thm)],[p74,c65]) ).
cnf(p9771,plain,
( ~ spl59
| ~ spl46
| def93 ),
inference(resolution,[status(thm)],[p8836,p2448]) ).
cnf(p9774,plain,
( ~ spl59
| ~ spl46
| def92
| def77 ),
inference(resolution,[status(thm)],[p9771,c381]) ).
cnf(p9900,plain,
( ~ spl59
| ~ spl46
| def90
| def77 ),
inference(resolution,[status(thm)],[p9774,c378]) ).
cnf(p9947,plain,
( ~ spl59
| ~ spl46
| def88
| def77 ),
inference(resolution,[status(thm)],[p9900,c372]) ).
cnf(p9968,plain,
( ~ spl59
| ~ spl46
| def87
| def77 ),
inference(resolution,[status(thm)],[p9947,c367]) ).
cnf(p9976,plain,
( ~ spl59
| ~ spl46
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p9968,c363]) ).
cnf(ssp340,plain,
( spl247
| spl111
| spl22
| ~ spl59
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p9976,sdef22,sdef111,sdef247]) ).
cnf(p9967,plain,
( ~ spl59
| ~ spl46
| def86
| def77 ),
inference(resolution,[status(thm)],[p9947,c366]) ).
cnf(p9974,plain,
( ~ spl59
| ~ spl46
| def85
| def77 ),
inference(resolution,[status(thm)],[p9967,c361]) ).
cnf(p9978,plain,
( ~ spl59
| ~ spl46
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p9974,c357]) ).
cnf(ssp341,plain,
( spl247
| spl79
| spl2
| ~ spl59
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p9978,sdef2,sdef79,sdef247]) ).
cnf(p9973,plain,
( ~ spl59
| ~ spl46
| def84
| def77 ),
inference(resolution,[status(thm)],[p9967,c360]) ).
cnf(p9977,plain,
( ~ spl59
| ~ spl46
| def82
| def77 ),
inference(resolution,[status(thm)],[p9973,c354]) ).
cnf(p9980,plain,
( ~ spl59
| ~ spl46
| def80
| def77 ),
inference(resolution,[status(thm)],[p9977,c348]) ).
cnf(ssp342,plain,
( spl253
| spl247
| ~ spl59
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p9980,sdef247,sdef253]) ).
cnf(c93,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3243,plain,
( op(e3,e1) != e3
| def91 ),
inference(superposition,[status(thm)],[c376,c93]) ).
cnf(p10302,plain,
( ~ spl55
| def91 ),
inference(resolution,[status(thm)],[p69,p3243]) ).
cnf(p10306,plain,
( ~ spl55
| op(e3,e3) = e2
| op(e3,e2) != e3 ),
inference(resolution,[status(thm)],[p10302,c375]) ).
cnf(ssp343,plain,
( spl173
| spl62
| ~ spl55 ),
inference(avatar_split_clause,[status(thm)],[p10306,sdef62,sdef173]) ).
cnf(p9898,plain,
( ~ spl151
| ~ spl46
| def90
| def77 ),
inference(resolution,[status(thm)],[p9773,c378]) ).
cnf(p9945,plain,
( ~ spl151
| ~ spl46
| def88
| def77 ),
inference(resolution,[status(thm)],[p9898,c372]) ).
cnf(p10252,plain,
( ~ spl151
| ~ spl46
| def87
| def77 ),
inference(resolution,[status(thm)],[p9945,c367]) ).
cnf(p10422,plain,
( ~ spl151
| ~ spl46
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p10252,c363]) ).
cnf(ssp344,plain,
( spl247
| spl111
| spl22
| ~ spl151
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p10422,sdef22,sdef111,sdef247]) ).
cnf(p9759,plain,
( ~ spl46
| ~ spl41
| def93
| e1 = e3 ),
inference(superposition,[status(thm)],[p52,p8836]) ).
cnf(p10184,plain,
( ~ spl46
| ~ spl41
| def93 ),
inference(resolution,[status(thm)],[p9759,c100]) ).
cnf(p10215,plain,
( ~ spl46
| ~ spl41
| def92
| def77 ),
inference(resolution,[status(thm)],[p10184,c381]) ).
cnf(p10387,plain,
( ~ spl46
| ~ spl41
| def91
| def77 ),
inference(resolution,[status(thm)],[p10215,c379]) ).
cnf(p10479,plain,
( ~ spl46
| ~ spl41
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p10387,c375]) ).
cnf(ssp345,plain,
( spl247
| spl173
| spl62
| ~ spl46
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p10479,sdef62,sdef173,sdef247]) ).
cnf(p9763,plain,
( ~ spl46
| op(e2,e0) != e3
| def93 ),
inference(superposition,[status(thm)],[p8836,c85]) ).
cnf(p10203,plain,
( ~ spl46
| ~ spl35
| def93 ),
inference(resolution,[status(thm)],[p9763,p44]) ).
cnf(p10217,plain,
( ~ spl46
| ~ spl35
| def92
| def77 ),
inference(resolution,[status(thm)],[p10203,c381]) ).
cnf(p10390,plain,
( ~ spl46
| ~ spl35
| def91
| def77 ),
inference(resolution,[status(thm)],[p10217,c379]) ).
cnf(p10482,plain,
( ~ spl46
| ~ spl35
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p10390,c375]) ).
cnf(ssp346,plain,
( spl247
| spl173
| spl62
| ~ spl46
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p10482,sdef62,sdef173,sdef247]) ).
cnf(p10251,plain,
( ~ spl151
| ~ spl46
| def86
| def77 ),
inference(resolution,[status(thm)],[p9945,c366]) ).
cnf(p10421,plain,
( ~ spl151
| ~ spl46
| def85
| def77 ),
inference(resolution,[status(thm)],[p10251,c361]) ).
cnf(p10498,plain,
( ~ spl151
| ~ spl46
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p10421,c357]) ).
cnf(ssp347,plain,
( spl247
| spl79
| spl2
| ~ spl151
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p10498,sdef2,sdef79,sdef247]) ).
cnf(p10420,plain,
( ~ spl151
| ~ spl46
| def84
| def77 ),
inference(resolution,[status(thm)],[p10251,c360]) ).
cnf(p10497,plain,
( ~ spl151
| ~ spl46
| def82
| def77 ),
inference(resolution,[status(thm)],[p10420,c354]) ).
cnf(p10581,plain,
( ~ spl151
| ~ spl46
| def80
| def77 ),
inference(resolution,[status(thm)],[p10497,c348]) ).
cnf(ssp348,plain,
( spl253
| spl247
| ~ spl151
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p10581,sdef247,sdef253]) ).
cnf(p10389,plain,
( ~ spl46
| ~ spl35
| def90
| def77 ),
inference(resolution,[status(thm)],[p10217,c378]) ).
cnf(p10481,plain,
( ~ spl46
| ~ spl35
| def88
| def77 ),
inference(resolution,[status(thm)],[p10389,c372]) ).
cnf(p10550,plain,
( ~ spl46
| ~ spl35
| def87
| def77 ),
inference(resolution,[status(thm)],[p10481,c367]) ).
cnf(p10652,plain,
( ~ spl46
| ~ spl35
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p10550,c363]) ).
cnf(ssp349,plain,
( spl247
| spl111
| spl22
| ~ spl46
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p10652,sdef22,sdef111,sdef247]) ).
cnf(p10386,plain,
( ~ spl46
| ~ spl41
| def90
| def77 ),
inference(resolution,[status(thm)],[p10215,c378]) ).
cnf(p10478,plain,
( ~ spl46
| ~ spl41
| def88
| def77 ),
inference(resolution,[status(thm)],[p10386,c372]) ).
cnf(p10547,plain,
( ~ spl46
| ~ spl41
| def86
| def77 ),
inference(resolution,[status(thm)],[p10478,c366]) ).
cnf(p10647,plain,
( ~ spl46
| ~ spl41
| def85
| def77 ),
inference(resolution,[status(thm)],[p10547,c361]) ).
cnf(p10790,plain,
( ~ spl46
| ~ spl41
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p10647,c357]) ).
cnf(ssp350,plain,
( spl247
| spl79
| spl2
| ~ spl46
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p10790,sdef2,sdef79,sdef247]) ).
cnf(p9761,plain,
( ~ spl46
| op(e1,e2) != e3
| def93 ),
inference(superposition,[status(thm)],[p8836,c63]) ).
cnf(p10193,plain,
( ~ spl46
| ~ spl27
| def93 ),
inference(resolution,[status(thm)],[p9761,p34]) ).
cnf(p10216,plain,
( ~ spl46
| ~ spl27
| def92
| def77 ),
inference(resolution,[status(thm)],[p10193,c381]) ).
cnf(p10388,plain,
( ~ spl46
| ~ spl27
| def90
| def77 ),
inference(resolution,[status(thm)],[p10216,c378]) ).
cnf(p10480,plain,
( ~ spl46
| ~ spl27
| def88
| def77 ),
inference(resolution,[status(thm)],[p10388,c372]) ).
cnf(p10548,plain,
( ~ spl46
| ~ spl27
| def86
| def77 ),
inference(resolution,[status(thm)],[p10480,c366]) ).
cnf(p10649,plain,
( ~ spl46
| ~ spl27
| def85
| def77 ),
inference(resolution,[status(thm)],[p10548,c361]) ).
cnf(p10793,plain,
( ~ spl46
| ~ spl27
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p10649,c357]) ).
cnf(ssp351,plain,
( spl247
| spl79
| spl2
| ~ spl46
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p10793,sdef2,sdef79,sdef247]) ).
cnf(p10549,plain,
( ~ spl46
| ~ spl35
| def86
| def77 ),
inference(resolution,[status(thm)],[p10481,c366]) ).
cnf(p10651,plain,
( ~ spl46
| ~ spl35
| def85
| def77 ),
inference(resolution,[status(thm)],[p10549,c361]) ).
cnf(p10795,plain,
( ~ spl46
| ~ spl35
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p10651,c357]) ).
cnf(ssp352,plain,
( spl247
| spl79
| spl2
| ~ spl46
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p10795,sdef2,sdef79,sdef247]) ).
cnf(p10646,plain,
( ~ spl46
| ~ spl41
| def84
| def77 ),
inference(resolution,[status(thm)],[p10547,c360]) ).
cnf(p10789,plain,
( ~ spl46
| ~ spl41
| def82
| def77 ),
inference(resolution,[status(thm)],[p10646,c354]) ).
cnf(p10842,plain,
( ~ spl46
| ~ spl41
| def80
| def77 ),
inference(resolution,[status(thm)],[p10789,c348]) ).
cnf(ssp353,plain,
( spl253
| spl247
| ~ spl46
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p10842,sdef247,sdef253]) ).
cnf(c70,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2642,plain,
( ~ spl61
| op(e1,e3) != e1 ),
inference(superposition,[status(thm)],[p77,c70]) ).
cnf(p7695,plain,
( ~ spl61
| ~ spl23
| def93 ),
inference(resolution,[status(thm)],[p7152,p2642]) ).
cnf(p7697,plain,
( ~ spl61
| ~ spl23
| def92
| def77 ),
inference(resolution,[status(thm)],[p7695,c381]) ).
cnf(p8186,plain,
( ~ spl61
| ~ spl23
| def90
| def77 ),
inference(resolution,[status(thm)],[p7697,c378]) ).
cnf(p8239,plain,
( ~ spl61
| ~ spl23
| def88
| def77 ),
inference(resolution,[status(thm)],[p8186,c372]) ).
cnf(p8389,plain,
( ~ spl61
| ~ spl23
| def86
| def77 ),
inference(resolution,[status(thm)],[p8239,c366]) ).
cnf(p10862,plain,
( ~ spl61
| ~ spl23
| def85
| def77 ),
inference(resolution,[status(thm)],[p8389,c361]) ).
cnf(p10867,plain,
( ~ spl61
| ~ spl23
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p10862,c357]) ).
cnf(ssp354,plain,
( spl247
| spl79
| spl2
| ~ spl61
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p10867,sdef2,sdef79,sdef247]) ).
cnf(p7690,plain,
( ~ spl23
| op(e1,e2) != e1
| def93 ),
inference(superposition,[status(thm)],[p7152,c83]) ).
cnf(p10855,plain,
( ~ spl25
| ~ spl23
| def93 ),
inference(resolution,[status(thm)],[p32,p7690]) ).
cnf(p10860,plain,
( ~ spl25
| ~ spl23
| def92
| def77 ),
inference(resolution,[status(thm)],[p10855,c381]) ).
cnf(p10865,plain,
( ~ spl25
| ~ spl23
| def91
| def77 ),
inference(resolution,[status(thm)],[p10860,c379]) ).
cnf(p10869,plain,
( ~ spl25
| ~ spl23
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p10865,c375]) ).
cnf(ssp355,plain,
( spl247
| spl173
| spl62
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p10869,sdef62,sdef173,sdef247]) ).
cnf(p10861,plain,
( ~ spl61
| ~ spl23
| def84
| def77 ),
inference(resolution,[status(thm)],[p8389,c360]) ).
cnf(p10866,plain,
( ~ spl61
| ~ spl23
| def82
| def77 ),
inference(resolution,[status(thm)],[p10861,c354]) ).
cnf(p10870,plain,
( ~ spl61
| ~ spl23
| def80
| def77 ),
inference(resolution,[status(thm)],[p10866,c348]) ).
cnf(ssp356,plain,
( spl253
| spl247
| ~ spl61
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p10870,sdef247,sdef253]) ).
cnf(p10871,plain,
( ~ spl61
| ~ spl23
| def81
| def77 ),
inference(resolution,[status(thm)],[p10866,c349]) ).
cnf(ssp357,plain,
( spl255
| spl247
| ~ spl61
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p10871,sdef247,sdef255]) ).
cnf(p10864,plain,
( ~ spl25
| ~ spl23
| def90
| def77 ),
inference(resolution,[status(thm)],[p10860,c378]) ).
cnf(p10868,plain,
( ~ spl25
| ~ spl23
| def88
| def77 ),
inference(resolution,[status(thm)],[p10864,c372]) ).
cnf(p10872,plain,
( ~ spl25
| ~ spl23
| def86
| def77 ),
inference(resolution,[status(thm)],[p10868,c366]) ).
cnf(p10875,plain,
( ~ spl25
| ~ spl23
| def85
| def77 ),
inference(resolution,[status(thm)],[p10872,c361]) ).
cnf(p10879,plain,
( ~ spl25
| ~ spl23
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p10875,c357]) ).
cnf(ssp358,plain,
( spl247
| spl79
| spl2
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p10879,sdef2,sdef79,sdef247]) ).
cnf(p10874,plain,
( ~ spl25
| ~ spl23
| def84
| def77 ),
inference(resolution,[status(thm)],[p10872,c360]) ).
cnf(p10877,plain,
( ~ spl25
| ~ spl23
| def82
| def77 ),
inference(resolution,[status(thm)],[p10874,c354]) ).
cnf(p10880,plain,
( ~ spl25
| ~ spl23
| def80
| def77 ),
inference(resolution,[status(thm)],[p10877,c348]) ).
cnf(ssp359,plain,
( spl253
| spl247
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p10880,sdef247,sdef253]) ).
cnf(p10881,plain,
( ~ spl25
| ~ spl23
| def81
| def77 ),
inference(resolution,[status(thm)],[p10877,c349]) ).
cnf(ssp360,plain,
( spl255
| spl247
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p10881,sdef247,sdef255]) ).
cnf(p10878,plain,
( ~ spl25
| ~ spl23
| def83
| def77 ),
inference(resolution,[status(thm)],[p10874,c355]) ).
cnf(p10882,plain,
( ~ spl25
| ~ spl23
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p10878,c351]) ).
cnf(ssp361,plain,
( spl247
| spl154
| spl59
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p10882,sdef59,sdef154,sdef247]) ).
cnf(p10873,plain,
( ~ spl25
| ~ spl23
| def87
| def77 ),
inference(resolution,[status(thm)],[p10868,c367]) ).
cnf(p10876,plain,
( ~ spl25
| ~ spl23
| e3 = e2
| e1 != e1
| def77 ),
inference(resolution,[status(thm)],[p10873,c363]) ).
cnf(p10961,plain,
( ~ spl25
| ~ spl23
| e3 = e2
| def77 ),
inference(equality_resolution,[status(thm)],[p10876]) ).
cnf(p11011,plain,
( ~ spl25
| ~ spl23
| ~ spl14
| op(e0,e2) = e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p18]) ).
cnf(ssp362,plain,
( spl247
| spl10
| ~ spl25
| ~ spl23
| ~ spl14 ),
inference(avatar_split_clause,[status(thm)],[p11011,sdef10,sdef247]) ).
cnf(p11012,plain,
( ~ spl25
| ~ spl23
| ~ spl15
| op(e0,e2) = e3
| def77 ),
inference(superposition,[status(thm)],[p10961,p19]) ).
cnf(ssp363,plain,
( spl247
| spl11
| ~ spl25
| ~ spl23
| ~ spl15 ),
inference(avatar_split_clause,[status(thm)],[p11012,sdef11,sdef247]) ).
cnf(c87,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3299,plain,
( op(e2,e1) != e3
| def97 ),
inference(superposition,[status(thm)],[c394,c87]) ).
cnf(p11020,plain,
( ~ spl39
| def97 ),
inference(resolution,[status(thm)],[p49,p3299]) ).
cnf(p11164,plain,
( ~ spl39
| op(e2,e3) = e2
| op(e2,e2) != e3 ),
inference(resolution,[status(thm)],[p11020,c393]) ).
cnf(ssp364,plain,
( spl151
| spl46
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p11164,sdef46,sdef151]) ).
cnf(p4472,plain,
( ~ spl44
| ~ spl43
| def93
| e0 = e2 ),
inference(superposition,[status(thm)],[p56,p4186]) ).
cnf(p13964,plain,
( ~ spl44
| ~ spl43
| def93 ),
inference(resolution,[status(thm)],[p4472,c97]) ).
cnf(p13965,plain,
( ~ spl44
| ~ spl43
| def92
| def77 ),
inference(resolution,[status(thm)],[p13964,c381]) ).
cnf(p13985,plain,
( ~ spl44
| ~ spl43
| def90
| def77 ),
inference(resolution,[status(thm)],[p13965,c378]) ).
cnf(p13986,plain,
( ~ spl44
| ~ spl43
| def88
| def77 ),
inference(resolution,[status(thm)],[p13985,c372]) ).
cnf(p13988,plain,
( ~ spl44
| ~ spl43
| def87
| def77 ),
inference(resolution,[status(thm)],[p13986,c367]) ).
cnf(p13991,plain,
( ~ spl44
| ~ spl43
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p13988,c363]) ).
cnf(ssp365,plain,
( spl247
| spl111
| spl22
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p13991,sdef22,sdef111,sdef247]) ).
cnf(p13987,plain,
( ~ spl44
| ~ spl43
| def86
| def77 ),
inference(resolution,[status(thm)],[p13986,c366]) ).
cnf(p13990,plain,
( ~ spl44
| ~ spl43
| def85
| def77 ),
inference(resolution,[status(thm)],[p13987,c361]) ).
cnf(p13995,plain,
( ~ spl44
| ~ spl43
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p13990,c357]) ).
cnf(ssp366,plain,
( spl247
| spl79
| spl2
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p13995,sdef2,sdef79,sdef247]) ).
cnf(p13989,plain,
( ~ spl44
| ~ spl43
| def84
| def77 ),
inference(resolution,[status(thm)],[p13987,c360]) ).
cnf(p13992,plain,
( ~ spl44
| ~ spl43
| def82
| def77 ),
inference(resolution,[status(thm)],[p13989,c354]) ).
cnf(p13996,plain,
( ~ spl44
| ~ spl43
| def80
| def77 ),
inference(resolution,[status(thm)],[p13992,c348]) ).
cnf(ssp367,plain,
( spl253
| spl247
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p13996,sdef247,sdef253]) ).
cnf(p13997,plain,
( ~ spl44
| ~ spl43
| def81
| def77 ),
inference(resolution,[status(thm)],[p13992,c349]) ).
cnf(ssp368,plain,
( spl255
| spl247
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p13997,sdef247,sdef255]) ).
cnf(p13993,plain,
( ~ spl44
| ~ spl43
| def83
| def77 ),
inference(resolution,[status(thm)],[p13989,c355]) ).
cnf(p13998,plain,
( ~ spl44
| ~ spl43
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p13993,c351]) ).
cnf(ssp369,plain,
( spl247
| spl154
| spl59
| ~ spl44
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p13998,sdef59,sdef154,sdef247]) ).
cnf(p3148,plain,
( op(e1,e3) != e2
| def83 ),
inference(superposition,[status(thm)],[c352,c70]) ).
cnf(p14043,plain,
( ~ spl30
| def83 ),
inference(resolution,[status(thm)],[p38,p3148]) ).
cnf(p14056,plain,
( ~ spl30
| op(e3,e2) = e3
| op(e3,e3) != e2 ),
inference(resolution,[status(thm)],[p14043,c351]) ).
cnf(ssp370,plain,
( spl154
| spl59
| ~ spl30 ),
inference(avatar_split_clause,[status(thm)],[p14056,sdef59,sdef154]) ).
cnf(c69,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3369,plain,
( op(e1,e3) != e2
| def105 ),
inference(superposition,[status(thm)],[c418,c69]) ).
cnf(p14046,plain,
( ~ spl30
| def105 ),
inference(resolution,[status(thm)],[p38,p3369]) ).
cnf(p14058,plain,
( ~ spl30
| op(e2,e2) = e3
| op(e2,e3) != e2 ),
inference(resolution,[status(thm)],[p14046,c417]) ).
cnf(ssp371,plain,
( spl150
| spl43
| ~ spl30 ),
inference(avatar_split_clause,[status(thm)],[p14058,sdef43,sdef150]) ).
cnf(c415,plain,
( def103
| ~ 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])],[f4_sk]) ).
cnf(p3234,plain,
( def103
| def93 ),
inference(resolution,[status(thm)],[p3230,c415]) ).
cnf(p3346,plain,
( def93
| op(e1,e1) = e3
| op(e1,e3) != e1 ),
inference(resolution,[status(thm)],[c411,p3234]) ).
cnf(p4617,plain,
( ~ spl29
| def93
| op(e1,e1) = e3 ),
inference(resolution,[status(thm)],[p37,p3346]) ).
cnf(p14181,plain,
( ~ spl121
| ~ spl29
| def93 ),
inference(resolution,[status(thm)],[p4617,p286]) ).
cnf(p14188,plain,
( ~ spl121
| ~ spl29
| def92
| def77 ),
inference(resolution,[status(thm)],[p14181,c381]) ).
cnf(p14256,plain,
( ~ spl121
| ~ spl29
| def91
| def77 ),
inference(resolution,[status(thm)],[p14188,c379]) ).
cnf(p14331,plain,
( ~ spl121
| ~ spl29
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p14256,c375]) ).
cnf(ssp372,plain,
( spl247
| spl173
| spl62
| ~ spl121
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14331,sdef62,sdef173,sdef247]) ).
cnf(c57,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2078,plain,
( ~ spl39
| op(e1,e1) != e3 ),
inference(superposition,[status(thm)],[p49,c57]) ).
cnf(p14185,plain,
( ~ spl39
| ~ spl29
| def93 ),
inference(resolution,[status(thm)],[p4617,p2078]) ).
cnf(p14189,plain,
( ~ spl39
| ~ spl29
| def92
| def77 ),
inference(resolution,[status(thm)],[p14185,c381]) ).
cnf(p14258,plain,
( ~ spl39
| ~ spl29
| def91
| def77 ),
inference(resolution,[status(thm)],[p14189,c379]) ).
cnf(p14333,plain,
( ~ spl39
| ~ spl29
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p14258,c375]) ).
cnf(ssp373,plain,
( spl247
| spl173
| spl62
| ~ spl39
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14333,sdef62,sdef173,sdef247]) ).
cnf(p14255,plain,
( ~ spl121
| ~ spl29
| def90
| def77 ),
inference(resolution,[status(thm)],[p14188,c378]) ).
cnf(p14330,plain,
( ~ spl121
| ~ spl29
| def88
| def77 ),
inference(resolution,[status(thm)],[p14255,c372]) ).
cnf(p14367,plain,
( ~ spl121
| ~ spl29
| def86
| def77 ),
inference(resolution,[status(thm)],[p14330,c366]) ).
cnf(p14399,plain,
( ~ spl121
| ~ spl29
| def85
| def77 ),
inference(resolution,[status(thm)],[p14367,c361]) ).
cnf(p14417,plain,
( ~ spl121
| ~ spl29
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p14399,c357]) ).
cnf(ssp374,plain,
( spl247
| spl79
| spl2
| ~ spl121
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14417,sdef2,sdef79,sdef247]) ).
cnf(p14257,plain,
( ~ spl39
| ~ spl29
| def90
| def77 ),
inference(resolution,[status(thm)],[p14189,c378]) ).
cnf(p14332,plain,
( ~ spl39
| ~ spl29
| def88
| def77 ),
inference(resolution,[status(thm)],[p14257,c372]) ).
cnf(p14368,plain,
( ~ spl39
| ~ spl29
| def86
| def77 ),
inference(resolution,[status(thm)],[p14332,c366]) ).
cnf(p14401,plain,
( ~ spl39
| ~ spl29
| def85
| def77 ),
inference(resolution,[status(thm)],[p14368,c361]) ).
cnf(p14420,plain,
( ~ spl39
| ~ spl29
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p14401,c357]) ).
cnf(ssp375,plain,
( spl247
| spl79
| spl2
| ~ spl39
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14420,sdef2,sdef79,sdef247]) ).
cnf(p14398,plain,
( ~ spl121
| ~ spl29
| def84
| def77 ),
inference(resolution,[status(thm)],[p14367,c360]) ).
cnf(p14415,plain,
( ~ spl121
| ~ spl29
| def82
| def77 ),
inference(resolution,[status(thm)],[p14398,c354]) ).
cnf(p14427,plain,
( ~ spl121
| ~ spl29
| def80
| def77 ),
inference(resolution,[status(thm)],[p14415,c348]) ).
cnf(ssp376,plain,
( spl253
| spl247
| ~ spl121
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14427,sdef247,sdef253]) ).
cnf(p14400,plain,
( ~ spl39
| ~ spl29
| def84
| def77 ),
inference(resolution,[status(thm)],[p14368,c360]) ).
cnf(p14418,plain,
( ~ spl39
| ~ spl29
| def82
| def77 ),
inference(resolution,[status(thm)],[p14400,c354]) ).
cnf(p14428,plain,
( ~ spl39
| ~ spl29
| def80
| def77 ),
inference(resolution,[status(thm)],[p14418,c348]) ).
cnf(ssp377,plain,
( spl253
| spl247
| ~ spl39
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14428,sdef247,sdef253]) ).
cnf(p14788,plain,
( ~ spl48
| ~ spl25
| ~ spl23
| op(e2,e0) = e0
| def77 ),
inference(superposition,[status(thm)],[p10961,p61]) ).
cnf(ssp378,plain,
( spl247
| spl32
| ~ spl48
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p14788,sdef32,sdef247]) ).
cnf(p14799,plain,
( ~ spl180
| ~ spl25
| ~ spl23
| op(e3,e2) != e3
| def77 ),
inference(superposition,[status(thm)],[p10961,p416]) ).
cnf(ssp379,plain,
( spl247
| spl173
| ~ spl180
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p14799,sdef173,sdef247]) ).
cnf(p14800,plain,
( ~ spl180
| ~ spl25
| ~ spl23
| op(e3,e3) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p416]) ).
cnf(ssp380,plain,
( spl247
| spl154
| ~ spl180
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p14800,sdef154,sdef247]) ).
cnf(c358,plain,
( def85
| 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])],[f4_sk]) ).
cnf(c75,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3193,plain,
( op(e0,e1) != e0
| def85 ),
inference(superposition,[status(thm)],[c358,c75]) ).
cnf(p14775,plain,
( ~ spl4
| def85 ),
inference(resolution,[status(thm)],[p6,p3193]) ).
cnf(p14804,plain,
( ~ spl4
| op(e0,e0) = e2
| op(e0,e2) != e0 ),
inference(resolution,[status(thm)],[p14775,c357]) ).
cnf(ssp381,plain,
( spl79
| spl2
| ~ spl4 ),
inference(avatar_split_clause,[status(thm)],[p14804,sdef2,sdef79]) ).
cnf(c406,plain,
( def101
| 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])],[f4_sk]) ).
cnf(c76,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3339,plain,
( op(e0,e1) != e0
| def101 ),
inference(superposition,[status(thm)],[c406,c76]) ).
cnf(p14777,plain,
( ~ spl4
| def101 ),
inference(resolution,[status(thm)],[p6,p3339]) ).
cnf(c405,plain,
( op(e0,e0) = e3
| op(e0,e3) != e0
| ~ 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])],[f4_sk]) ).
cnf(p14808,plain,
( ~ spl4
| op(e0,e0) = e3
| op(e0,e3) != e0 ),
inference(resolution,[status(thm)],[p14777,c405]) ).
cnf(ssp382,plain,
( spl88
| spl3
| ~ spl4 ),
inference(avatar_split_clause,[status(thm)],[p14808,sdef3,sdef88]) ).
cnf(p14811,plain,
( ~ spl151
| ~ spl46
| def81
| def77 ),
inference(resolution,[status(thm)],[p10497,c349]) ).
cnf(ssp383,plain,
( spl255
| spl247
| ~ spl151
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p14811,sdef247,sdef255]) ).
cnf(p9770,plain,
( ~ spl46
| def91
| def93 ),
inference(resolution,[status(thm)],[p8836,p3241]) ).
cnf(p9897,plain,
( ~ spl46
| def92
| def77
| def91 ),
inference(resolution,[status(thm)],[p9770,c381]) ).
cnf(p10238,plain,
( ~ spl46
| def91
| def77
| def91 ),
inference(resolution,[status(thm)],[p9897,c379]) ).
cnf(p10816,plain,
( ~ spl46
| def77
| def91 ),
inference(factoring,[status(thm)],[p10238]) ).
cnf(p14828,plain,
( ~ spl46
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p10816,c375]) ).
cnf(ssp384,plain,
( spl247
| spl173
| spl62
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p14828,sdef62,sdef173,sdef247]) ).
cnf(p14831,plain,
( ~ spl46
| ~ spl25
| ~ spl23
| op(e2,e2) = e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p58]) ).
cnf(ssp385,plain,
( spl247
| spl42
| ~ spl46
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p14831,sdef42,sdef247]) ).
cnf(p14836,plain,
( ~ spl59
| ~ spl46
| def81
| def77 ),
inference(resolution,[status(thm)],[p9977,c349]) ).
cnf(ssp386,plain,
( spl255
| spl247
| ~ spl59
| ~ spl46 ),
inference(avatar_split_clause,[status(thm)],[p14836,sdef247,sdef255]) ).
cnf(p10650,plain,
( ~ spl46
| ~ spl35
| def84
| def77 ),
inference(resolution,[status(thm)],[p10549,c360]) ).
cnf(p10794,plain,
( ~ spl46
| ~ spl35
| def82
| def77 ),
inference(resolution,[status(thm)],[p10650,c354]) ).
cnf(p14841,plain,
( ~ spl46
| ~ spl35
| def80
| def77 ),
inference(resolution,[status(thm)],[p10794,c348]) ).
cnf(ssp387,plain,
( spl253
| spl247
| ~ spl46
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p14841,sdef247,sdef253]) ).
cnf(p14842,plain,
( ~ spl46
| ~ spl35
| def81
| def77 ),
inference(resolution,[status(thm)],[p10794,c349]) ).
cnf(ssp388,plain,
( spl255
| spl247
| ~ spl46
| ~ spl35 ),
inference(avatar_split_clause,[status(thm)],[p14842,sdef247,sdef255]) ).
cnf(p14886,plain,
( ~ spl121
| ~ spl29
| def81
| def77 ),
inference(resolution,[status(thm)],[p14415,c349]) ).
cnf(ssp389,plain,
( spl255
| spl247
| ~ spl121
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14886,sdef247,sdef255]) ).
cnf(p14416,plain,
( ~ spl121
| ~ spl29
| def83
| def77 ),
inference(resolution,[status(thm)],[p14398,c355]) ).
cnf(p14887,plain,
( ~ spl121
| ~ spl29
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p14416,c351]) ).
cnf(ssp390,plain,
( spl247
| spl154
| spl59
| ~ spl121
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p14887,sdef59,sdef154,sdef247]) ).
cnf(c81,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2902,plain,
( ~ spl27
| op(e1,e1) != e3 ),
inference(superposition,[status(thm)],[p34,c81]) ).
cnf(p14894,plain,
( ~ spl29
| ~ spl27
| def93 ),
inference(resolution,[status(thm)],[p4617,p2902]) ).
cnf(p14911,plain,
( ~ spl29
| ~ spl27
| def92
| def77 ),
inference(resolution,[status(thm)],[p14894,c381]) ).
cnf(p14946,plain,
( ~ spl29
| ~ spl27
| def90
| def77 ),
inference(resolution,[status(thm)],[p14911,c378]) ).
cnf(p14985,plain,
( ~ spl29
| ~ spl27
| def88
| def77 ),
inference(resolution,[status(thm)],[p14946,c372]) ).
cnf(p15044,plain,
( ~ spl29
| ~ spl27
| def86
| def77 ),
inference(resolution,[status(thm)],[p14985,c366]) ).
cnf(p15100,plain,
( ~ spl29
| ~ spl27
| def85
| def77 ),
inference(resolution,[status(thm)],[p15044,c361]) ).
cnf(p15142,plain,
( ~ spl29
| ~ spl27
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p15100,c357]) ).
cnf(ssp391,plain,
( spl247
| spl79
| spl2
| ~ spl29
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p15142,sdef2,sdef79,sdef247]) ).
cnf(c58,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2120,plain,
( ~ spl55
| op(e1,e1) != e3 ),
inference(superposition,[status(thm)],[p69,c58]) ).
cnf(p14895,plain,
( ~ spl55
| ~ spl29
| def93 ),
inference(resolution,[status(thm)],[p4617,p2120]) ).
cnf(p14912,plain,
( ~ spl55
| ~ spl29
| def92
| def77 ),
inference(resolution,[status(thm)],[p14895,c381]) ).
cnf(p14947,plain,
( ~ spl55
| ~ spl29
| def90
| def77 ),
inference(resolution,[status(thm)],[p14912,c378]) ).
cnf(p14986,plain,
( ~ spl55
| ~ spl29
| def88
| def77 ),
inference(resolution,[status(thm)],[p14947,c372]) ).
cnf(p15045,plain,
( ~ spl55
| ~ spl29
| def86
| def77 ),
inference(resolution,[status(thm)],[p14986,c366]) ).
cnf(p15102,plain,
( ~ spl55
| ~ spl29
| def85
| def77 ),
inference(resolution,[status(thm)],[p15045,c361]) ).
cnf(p15195,plain,
( ~ spl55
| ~ spl29
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p15102,c357]) ).
cnf(ssp392,plain,
( spl247
| spl79
| spl2
| ~ spl55
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p15195,sdef2,sdef79,sdef247]) ).
cnf(c77,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3340,plain,
( op(e0,e2) != e0
| def101 ),
inference(superposition,[status(thm)],[c406,c77]) ).
cnf(p15552,plain,
( ~ spl8
| def101 ),
inference(resolution,[status(thm)],[p11,p3340]) ).
cnf(p15555,plain,
( ~ spl8
| op(e0,e0) = e3
| op(e0,e3) != e0 ),
inference(resolution,[status(thm)],[p15552,c405]) ).
cnf(ssp393,plain,
( spl88
| spl3
| ~ spl8 ),
inference(avatar_split_clause,[status(thm)],[p15555,sdef3,sdef88]) ).
cnf(p19424,plain,
( ~ spl52
| ~ spl25
| ~ spl23
| op(e2,e1) = e0
| def77 ),
inference(superposition,[status(thm)],[p10961,p66]) ).
cnf(ssp394,plain,
( spl247
| spl36
| ~ spl52
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19424,sdef36,sdef247]) ).
cnf(p19432,plain,
( ~ spl61
| ~ spl25
| ~ spl23
| op(e2,e3) = e1
| def77 ),
inference(superposition,[status(thm)],[p10961,p77]) ).
cnf(ssp395,plain,
( spl247
| spl45
| ~ spl61
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19432,sdef45,sdef247]) ).
cnf(p19433,plain,
( ~ spl61
| ~ spl25
| ~ spl23
| op(e3,e2) = e1
| def77 ),
inference(superposition,[status(thm)],[p10961,p77]) ).
cnf(ssp396,plain,
( spl247
| spl57
| ~ spl61
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19433,sdef57,sdef247]) ).
cnf(p19437,plain,
( ~ spl44
| ~ spl25
| ~ spl23
| op(e2,e2) = e0
| def77 ),
inference(superposition,[status(thm)],[p10961,p56]) ).
cnf(ssp397,plain,
( spl247
| spl40
| ~ spl44
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19437,sdef40,sdef247]) ).
cnf(p19438,plain,
( ~ spl50
| ~ spl25
| ~ spl23
| op(e2,e0) = e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p63]) ).
cnf(ssp398,plain,
( spl247
| spl34
| ~ spl50
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19438,sdef34,sdef247]) ).
cnf(p19439,plain,
( ~ spl59
| ~ spl25
| ~ spl23
| op(e2,e2) = e3
| def77 ),
inference(superposition,[status(thm)],[p10961,p74]) ).
cnf(ssp399,plain,
( spl247
| spl43
| ~ spl59
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19439,sdef43,sdef247]) ).
cnf(p19462,plain,
( ~ spl88
| ~ spl25
| ~ spl23
| op(e0,e2) != e0
| def77 ),
inference(superposition,[status(thm)],[p10961,p216]) ).
cnf(ssp400,plain,
( spl247
| spl79
| ~ spl88
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19462,sdef79,sdef247]) ).
cnf(p19463,plain,
( ~ spl89
| ~ spl25
| ~ spl23
| op(e0,e0) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p218]) ).
cnf(ssp401,plain,
( spl247
| spl80
| ~ spl89
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19463,sdef80,sdef247]) ).
cnf(p19474,plain,
( ~ spl150
| ~ spl25
| ~ spl23
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p350]) ).
cnf(ssp402,plain,
( spl247
| spl143
| ~ spl150
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19474,sdef143,sdef247]) ).
cnf(p19475,plain,
( ~ spl151
| ~ spl25
| ~ spl23
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p352]) ).
cnf(ssp403,plain,
( spl247
| spl143
| ~ spl151
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19475,sdef143,sdef247]) ).
cnf(p19476,plain,
( ~ spl154
| ~ spl25
| ~ spl23
| op(e2,e3) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p358]) ).
cnf(ssp404,plain,
( spl247
| spl150
| ~ spl154
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19476,sdef150,sdef247]) ).
cnf(p3012,plain,
( ~ spl44
| op(e0,e3) != e0 ),
inference(superposition,[status(thm)],[p56,c67]) ).
cnf(p19488,plain,
( ~ spl44
| ~ spl25
| ~ spl23
| op(e0,e2) != e0
| def77 ),
inference(superposition,[status(thm)],[p10961,p3012]) ).
cnf(ssp405,plain,
( spl247
| spl79
| ~ spl44
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19488,sdef79,sdef247]) ).
cnf(p3017,plain,
( ~ spl61
| op(e2,e3) != e1 ),
inference(superposition,[status(thm)],[p77,c71]) ).
cnf(p19539,plain,
( ~ spl61
| ~ spl25
| ~ spl23
| op(e2,e2) != e1
| def77 ),
inference(superposition,[status(thm)],[p10961,p3017]) ).
cnf(ssp406,plain,
( spl247
| spl115
| ~ spl61
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19539,sdef115,sdef247]) ).
cnf(c74,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2794,plain,
( ~ spl15
| op(e0,e0) != e3 ),
inference(superposition,[status(thm)],[p19,c74]) ).
cnf(p19546,plain,
( ~ spl25
| ~ spl23
| ~ spl15
| op(e0,e0) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p2794]) ).
cnf(ssp407,plain,
( spl247
| spl80
| ~ spl25
| ~ spl23
| ~ spl15 ),
inference(avatar_split_clause,[status(thm)],[p19546,sdef80,sdef247]) ).
cnf(c49,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p1672,plain,
( ~ spl35
| op(e0,e0) != e3 ),
inference(superposition,[status(thm)],[p44,c49]) ).
cnf(p19550,plain,
( ~ spl35
| ~ spl25
| ~ spl23
| op(e0,e0) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p1672]) ).
cnf(ssp408,plain,
( spl247
| spl80
| ~ spl35
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19550,sdef80,sdef247]) ).
cnf(p19554,plain,
( ~ spl59
| ~ spl25
| ~ spl23
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p2448]) ).
cnf(ssp409,plain,
( spl247
| spl143
| ~ spl59
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19554,sdef143,sdef247]) ).
cnf(c385,plain,
( def94
| 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])],[f4_sk]) ).
cnf(p3264,plain,
( ~ spl80
| e3 != e2
| def94 ),
inference(superposition,[status(thm)],[c385,p200]) ).
cnf(p19505,plain,
( ~ spl80
| ~ spl25
| ~ spl23
| def94
| def77 ),
inference(resolution,[status(thm)],[p10961,p3264]) ).
cnf(c384,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ 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])],[f4_sk]) ).
cnf(p19580,plain,
( ~ spl80
| ~ spl25
| ~ spl23
| op(e0,e3) = e0
| op(e0,e0) != e3
| def77 ),
inference(resolution,[status(thm)],[p19505,c384]) ).
cnf(ssp410,plain,
( spl247
| spl89
| spl12
| ~ spl80
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19580,sdef12,sdef89,sdef247]) ).
cnf(c72,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3260,plain,
( e3 != op(e0,e1)
| def94 ),
inference(superposition,[status(thm)],[c385,c72]) ).
cnf(p4548,plain,
( ~ spl6
| e3 != e2
| def94 ),
inference(superposition,[status(thm)],[p8,p3260]) ).
cnf(p19548,plain,
( ~ spl25
| ~ spl23
| ~ spl6
| def94
| def77 ),
inference(resolution,[status(thm)],[p10961,p4548]) ).
cnf(p19582,plain,
( ~ spl25
| ~ spl23
| ~ spl6
| op(e0,e3) = e0
| op(e0,e0) != e3
| def77 ),
inference(resolution,[status(thm)],[p19548,c384]) ).
cnf(ssp411,plain,
( spl247
| spl89
| spl12
| ~ spl25
| ~ spl23
| ~ spl6 ),
inference(avatar_split_clause,[status(thm)],[p19582,sdef12,sdef89,sdef247]) ).
cnf(p4568,plain,
( ~ spl15
| e3 != e2
| def105 ),
inference(superposition,[status(thm)],[p19,p3368]) ).
cnf(p19549,plain,
( ~ spl25
| ~ spl23
| ~ spl15
| def105
| def77 ),
inference(resolution,[status(thm)],[p10961,p4568]) ).
cnf(p19583,plain,
( ~ spl25
| ~ spl23
| ~ spl15
| op(e2,e2) = e3
| op(e2,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p19549,c417]) ).
cnf(ssp412,plain,
( spl247
| spl150
| spl43
| ~ spl25
| ~ spl23
| ~ spl15 ),
inference(avatar_split_clause,[status(thm)],[p19583,sdef43,sdef150,sdef247]) ).
cnf(p8845,plain,
( ~ spl35
| e3 != e2
| def105 ),
inference(superposition,[status(thm)],[p44,p3371]) ).
cnf(p19566,plain,
( ~ spl35
| ~ spl25
| ~ spl23
| def105
| def77 ),
inference(resolution,[status(thm)],[p10961,p8845]) ).
cnf(p19584,plain,
( ~ spl35
| ~ spl25
| ~ spl23
| op(e2,e2) = e3
| op(e2,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p19566,c417]) ).
cnf(ssp413,plain,
( spl247
| spl150
| spl43
| ~ spl35
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19584,sdef43,sdef150,sdef247]) ).
cnf(c50,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3259,plain,
( e3 != op(e3,e0)
| def94 ),
inference(superposition,[status(thm)],[c385,c50]) ).
cnf(p8850,plain,
( ~ spl50
| e3 != e2
| def94 ),
inference(superposition,[status(thm)],[p63,p3259]) ).
cnf(p19567,plain,
( ~ spl50
| ~ spl25
| ~ spl23
| def94
| def77 ),
inference(resolution,[status(thm)],[p10961,p8850]) ).
cnf(p19586,plain,
( ~ spl50
| ~ spl25
| ~ spl23
| op(e0,e3) = e0
| op(e0,e0) != e3
| def77 ),
inference(resolution,[status(thm)],[p19567,c384]) ).
cnf(ssp414,plain,
( spl247
| spl89
| spl12
| ~ spl50
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p19586,sdef12,sdef89,sdef247]) ).
cnf(p14177,plain,
( ~ spl29
| op(e1,e0) != e3
| def93 ),
inference(superposition,[status(thm)],[p4617,c78]) ).
cnf(p15167,plain,
( ~ spl29
| ~ spl19
| def93 ),
inference(resolution,[status(thm)],[p14177,p24]) ).
cnf(p15174,plain,
( ~ spl29
| ~ spl19
| def92
| def77 ),
inference(resolution,[status(thm)],[p15167,c381]) ).
cnf(p21442,plain,
( ~ spl29
| ~ spl19
| def91
| def77 ),
inference(resolution,[status(thm)],[p15174,c379]) ).
cnf(p21565,plain,
( ~ spl29
| ~ spl19
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p21442,c375]) ).
cnf(ssp415,plain,
( spl247
| spl173
| spl62
| ~ spl29
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p21565,sdef62,sdef173,sdef247]) ).
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])],[f4_sk]) ).
cnf(p3236,plain,
( def101
| def93 ),
inference(resolution,[status(thm)],[p3233,c409]) ).
cnf(p3330,plain,
( def93
| op(e0,e0) = e3
| op(e0,e3) != e0 ),
inference(resolution,[status(thm)],[c405,p3236]) ).
cnf(p21985,plain,
( ~ spl12
| def93
| op(e0,e0) = e3 ),
inference(resolution,[status(thm)],[p16,p3330]) ).
cnf(p22288,plain,
( ~ spl89
| ~ spl12
| def93 ),
inference(resolution,[status(thm)],[p21985,p218]) ).
cnf(p22307,plain,
( ~ spl89
| ~ spl12
| def92
| def77 ),
inference(resolution,[status(thm)],[p22288,c381]) ).
cnf(p22331,plain,
( ~ spl89
| ~ spl12
| def91
| def77 ),
inference(resolution,[status(thm)],[p22307,c379]) ).
cnf(p22342,plain,
( ~ spl89
| ~ spl12
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p22331,c375]) ).
cnf(ssp416,plain,
( spl247
| spl173
| spl62
| ~ spl89
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p22342,sdef62,sdef173,sdef247]) ).
cnf(p4573,plain,
( ~ spl19
| op(e0,e0) != e3 ),
inference(superposition,[status(thm)],[p24,c48]) ).
cnf(p22294,plain,
( ~ spl19
| ~ spl12
| def93 ),
inference(resolution,[status(thm)],[p21985,p4573]) ).
cnf(p22309,plain,
( ~ spl19
| ~ spl12
| def92
| def77 ),
inference(resolution,[status(thm)],[p22294,c381]) ).
cnf(p22334,plain,
( ~ spl19
| ~ spl12
| def91
| def77 ),
inference(resolution,[status(thm)],[p22309,c379]) ).
cnf(p22350,plain,
( ~ spl19
| ~ spl12
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p22334,c375]) ).
cnf(ssp417,plain,
( spl247
| spl173
| spl62
| ~ spl19
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p22350,sdef62,sdef173,sdef247]) ).
cnf(p22330,plain,
( ~ spl89
| ~ spl12
| def90
| def77 ),
inference(resolution,[status(thm)],[p22307,c378]) ).
cnf(p22341,plain,
( ~ spl89
| ~ spl12
| def88
| def77 ),
inference(resolution,[status(thm)],[p22330,c372]) ).
cnf(p22361,plain,
( ~ spl89
| ~ spl12
| def87
| def77 ),
inference(resolution,[status(thm)],[p22341,c367]) ).
cnf(p22388,plain,
( ~ spl89
| ~ spl12
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p22361,c363]) ).
cnf(ssp418,plain,
( spl247
| spl111
| spl22
| ~ spl89
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p22388,sdef22,sdef111,sdef247]) ).
cnf(c73,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7458,plain,
( ~ spl11
| op(e0,e0) != e3 ),
inference(superposition,[status(thm)],[p14,c73]) ).
cnf(p22292,plain,
( ~ spl12
| ~ spl11
| def93 ),
inference(resolution,[status(thm)],[p21985,p7458]) ).
cnf(p22308,plain,
( ~ spl12
| ~ spl11
| def92
| def77 ),
inference(resolution,[status(thm)],[p22292,c381]) ).
cnf(p22332,plain,
( ~ spl12
| ~ spl11
| def90
| def77 ),
inference(resolution,[status(thm)],[p22308,c378]) ).
cnf(p22348,plain,
( ~ spl12
| ~ spl11
| def88
| def77 ),
inference(resolution,[status(thm)],[p22332,c372]) ).
cnf(p22376,plain,
( ~ spl12
| ~ spl11
| def87
| def77 ),
inference(resolution,[status(thm)],[p22348,c367]) ).
cnf(p22396,plain,
( ~ spl12
| ~ spl11
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p22376,c363]) ).
cnf(ssp419,plain,
( spl247
| spl111
| spl22
| ~ spl12
| ~ spl11 ),
inference(avatar_split_clause,[status(thm)],[p22396,sdef22,sdef111,sdef247]) ).
cnf(p15101,plain,
( ~ spl55
| ~ spl29
| def84
| def77 ),
inference(resolution,[status(thm)],[p15045,c360]) ).
cnf(p15193,plain,
( ~ spl55
| ~ spl29
| def82
| def77 ),
inference(resolution,[status(thm)],[p15101,c354]) ).
cnf(p22418,plain,
( ~ spl55
| ~ spl29
| def80
| def77 ),
inference(resolution,[status(thm)],[p15193,c348]) ).
cnf(ssp420,plain,
( spl253
| spl247
| ~ spl55
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p22418,sdef247,sdef253]) ).
cnf(p22419,plain,
( ~ spl55
| ~ spl29
| def81
| def77 ),
inference(resolution,[status(thm)],[p15193,c349]) ).
cnf(ssp421,plain,
( spl255
| spl247
| ~ spl55
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p22419,sdef247,sdef255]) ).
cnf(p15194,plain,
( ~ spl55
| ~ spl29
| def83
| def77 ),
inference(resolution,[status(thm)],[p15101,c355]) ).
cnf(p22420,plain,
( ~ spl55
| ~ spl29
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p15194,c351]) ).
cnf(ssp422,plain,
( spl247
| spl154
| spl59
| ~ spl55
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p22420,sdef59,sdef154,sdef247]) ).
cnf(p22333,plain,
( ~ spl19
| ~ spl12
| def90
| def77 ),
inference(resolution,[status(thm)],[p22309,c378]) ).
cnf(p22349,plain,
( ~ spl19
| ~ spl12
| def88
| def77 ),
inference(resolution,[status(thm)],[p22333,c372]) ).
cnf(p22378,plain,
( ~ spl19
| ~ spl12
| def87
| def77 ),
inference(resolution,[status(thm)],[p22349,c367]) ).
cnf(p22614,plain,
( ~ spl19
| ~ spl12
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p22378,c363]) ).
cnf(ssp423,plain,
( spl247
| spl111
| spl22
| ~ spl19
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p22614,sdef22,sdef111,sdef247]) ).
cnf(p22662,plain,
( ~ spl46
| ~ spl41
| def81
| def77 ),
inference(resolution,[status(thm)],[p10789,c349]) ).
cnf(ssp424,plain,
( spl255
| spl247
| ~ spl46
| ~ spl41 ),
inference(avatar_split_clause,[status(thm)],[p22662,sdef247,sdef255]) ).
cnf(p22663,plain,
( ~ spl39
| ~ spl29
| def81
| def77 ),
inference(resolution,[status(thm)],[p14418,c349]) ).
cnf(ssp425,plain,
( spl255
| spl247
| ~ spl39
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p22663,sdef247,sdef255]) ).
cnf(p14419,plain,
( ~ spl39
| ~ spl29
| def83
| def77 ),
inference(resolution,[status(thm)],[p14400,c355]) ).
cnf(p22664,plain,
( ~ spl39
| ~ spl29
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p14419,c351]) ).
cnf(ssp426,plain,
( spl247
| spl154
| spl59
| ~ spl39
| ~ spl29 ),
inference(avatar_split_clause,[status(thm)],[p22664,sdef59,sdef154,sdef247]) ).
cnf(p22360,plain,
( ~ spl89
| ~ spl12
| def86
| def77 ),
inference(resolution,[status(thm)],[p22341,c366]) ).
cnf(p22387,plain,
( ~ spl89
| ~ spl12
| def84
| def77 ),
inference(resolution,[status(thm)],[p22360,c360]) ).
cnf(p22618,plain,
( ~ spl89
| ~ spl12
| def82
| def77 ),
inference(resolution,[status(thm)],[p22387,c354]) ).
cnf(p22896,plain,
( ~ spl89
| ~ spl12
| def80
| def77 ),
inference(resolution,[status(thm)],[p22618,c348]) ).
cnf(ssp427,plain,
( spl253
| spl247
| ~ spl89
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p22896,sdef247,sdef253]) ).
cnf(p22897,plain,
( ~ spl89
| ~ spl12
| def81
| def77 ),
inference(resolution,[status(thm)],[p22618,c349]) ).
cnf(ssp428,plain,
( spl255
| spl247
| ~ spl89
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p22897,sdef247,sdef255]) ).
cnf(p22619,plain,
( ~ spl89
| ~ spl12
| def83
| def77 ),
inference(resolution,[status(thm)],[p22387,c355]) ).
cnf(p22898,plain,
( ~ spl89
| ~ spl12
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p22619,c351]) ).
cnf(ssp429,plain,
( spl247
| spl154
| spl59
| ~ spl89
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p22898,sdef59,sdef154,sdef247]) ).
cnf(p22375,plain,
( ~ spl12
| ~ spl11
| def86
| def77 ),
inference(resolution,[status(thm)],[p22348,c366]) ).
cnf(p22395,plain,
( ~ spl12
| ~ spl11
| def84
| def77 ),
inference(resolution,[status(thm)],[p22375,c360]) ).
cnf(p22622,plain,
( ~ spl12
| ~ spl11
| def82
| def77 ),
inference(resolution,[status(thm)],[p22395,c354]) ).
cnf(p22899,plain,
( ~ spl12
| ~ spl11
| def80
| def77 ),
inference(resolution,[status(thm)],[p22622,c348]) ).
cnf(ssp430,plain,
( spl253
| spl247
| ~ spl12
| ~ spl11 ),
inference(avatar_split_clause,[status(thm)],[p22899,sdef247,sdef253]) ).
cnf(p22900,plain,
( ~ spl12
| ~ spl11
| def81
| def77 ),
inference(resolution,[status(thm)],[p22622,c349]) ).
cnf(ssp431,plain,
( spl255
| spl247
| ~ spl12
| ~ spl11 ),
inference(avatar_split_clause,[status(thm)],[p22900,sdef247,sdef255]) ).
cnf(p22623,plain,
( ~ spl12
| ~ spl11
| def83
| def77 ),
inference(resolution,[status(thm)],[p22395,c355]) ).
cnf(p22901,plain,
( ~ spl12
| ~ spl11
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p22623,c351]) ).
cnf(ssp432,plain,
( spl247
| spl154
| spl59
| ~ spl12
| ~ spl11 ),
inference(avatar_split_clause,[status(thm)],[p22901,sdef59,sdef154,sdef247]) ).
cnf(p22377,plain,
( ~ spl19
| ~ spl12
| def86
| def77 ),
inference(resolution,[status(thm)],[p22349,c366]) ).
cnf(p22613,plain,
( ~ spl19
| ~ spl12
| def84
| def77 ),
inference(resolution,[status(thm)],[p22377,c360]) ).
cnf(p22893,plain,
( ~ spl19
| ~ spl12
| def82
| def77 ),
inference(resolution,[status(thm)],[p22613,c354]) ).
cnf(p23028,plain,
( ~ spl19
| ~ spl12
| def80
| def77 ),
inference(resolution,[status(thm)],[p22893,c348]) ).
cnf(ssp433,plain,
( spl253
| spl247
| ~ spl19
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p23028,sdef247,sdef253]) ).
cnf(p23029,plain,
( ~ spl19
| ~ spl12
| def81
| def77 ),
inference(resolution,[status(thm)],[p22893,c349]) ).
cnf(ssp434,plain,
( spl255
| spl247
| ~ spl19
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p23029,sdef247,sdef255]) ).
cnf(p22894,plain,
( ~ spl19
| ~ spl12
| def83
| def77 ),
inference(resolution,[status(thm)],[p22613,c355]) ).
cnf(p23030,plain,
( ~ spl19
| ~ spl12
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p22894,c351]) ).
cnf(ssp435,plain,
( spl247
| spl154
| spl59
| ~ spl19
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p23030,sdef59,sdef154,sdef247]) ).
cnf(p22280,plain,
( ~ spl12
| ~ spl1
| def93
| e1 = e3 ),
inference(superposition,[status(thm)],[p2,p21985]) ).
cnf(p22603,plain,
( ~ spl12
| ~ spl1
| def93 ),
inference(resolution,[status(thm)],[p22280,c100]) ).
cnf(p22635,plain,
( ~ spl12
| ~ spl1
| def92
| def77 ),
inference(resolution,[status(thm)],[p22603,c381]) ).
cnf(p22936,plain,
( ~ spl12
| ~ spl1
| def91
| def77 ),
inference(resolution,[status(thm)],[p22635,c379]) ).
cnf(p23071,plain,
( ~ spl12
| ~ spl1
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p22936,c375]) ).
cnf(ssp436,plain,
( spl247
| spl173
| spl62
| ~ spl12
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p23071,sdef62,sdef173,sdef247]) ).
cnf(p22935,plain,
( ~ spl12
| ~ spl1
| def90
| def77 ),
inference(resolution,[status(thm)],[p22635,c378]) ).
cnf(p23070,plain,
( ~ spl12
| ~ spl1
| def88
| def77 ),
inference(resolution,[status(thm)],[p22935,c372]) ).
cnf(p23086,plain,
( ~ spl12
| ~ spl1
| def87
| def77 ),
inference(resolution,[status(thm)],[p23070,c367]) ).
cnf(p23096,plain,
( ~ spl12
| ~ spl1
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p23086,c363]) ).
cnf(ssp437,plain,
( spl247
| spl111
| spl22
| ~ spl12
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p23096,sdef22,sdef111,sdef247]) ).
cnf(p14892,plain,
( ~ spl29
| ~ spl20
| def93
| e0 = e3 ),
inference(superposition,[status(thm)],[p26,p4617]) ).
cnf(p22868,plain,
( ~ spl29
| ~ spl20
| def93 ),
inference(resolution,[status(thm)],[p14892,c98]) ).
cnf(p22869,plain,
( ~ spl29
| ~ spl20
| def92
| def77 ),
inference(resolution,[status(thm)],[p22868,c381]) ).
cnf(p22991,plain,
( ~ spl29
| ~ spl20
| def91
| def77 ),
inference(resolution,[status(thm)],[p22869,c379]) ).
cnf(p23226,plain,
( ~ spl29
| ~ spl20
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p22991,c375]) ).
cnf(ssp438,plain,
( spl247
| spl173
| spl62
| ~ spl29
| ~ spl20 ),
inference(avatar_split_clause,[status(thm)],[p23226,sdef62,sdef173,sdef247]) ).
cnf(p10648,plain,
( ~ spl46
| ~ spl27
| def84
| def77 ),
inference(resolution,[status(thm)],[p10548,c360]) ).
cnf(p10792,plain,
( ~ spl46
| ~ spl27
| def82
| def77 ),
inference(resolution,[status(thm)],[p10648,c354]) ).
cnf(p23233,plain,
( ~ spl46
| ~ spl27
| def80
| def77 ),
inference(resolution,[status(thm)],[p10792,c348]) ).
cnf(ssp439,plain,
( spl253
| spl247
| ~ spl46
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p23233,sdef247,sdef253]) ).
cnf(p23234,plain,
( ~ spl46
| ~ spl27
| def81
| def77 ),
inference(resolution,[status(thm)],[p10792,c349]) ).
cnf(ssp440,plain,
( spl255
| spl247
| ~ spl46
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p23234,sdef247,sdef255]) ).
cnf(p15099,plain,
( ~ spl29
| ~ spl27
| def84
| def77 ),
inference(resolution,[status(thm)],[p15044,c360]) ).
cnf(p15140,plain,
( ~ spl29
| ~ spl27
| def82
| def77 ),
inference(resolution,[status(thm)],[p15099,c354]) ).
cnf(p23245,plain,
( ~ spl29
| ~ spl27
| def80
| def77 ),
inference(resolution,[status(thm)],[p15140,c348]) ).
cnf(ssp441,plain,
( spl253
| spl247
| ~ spl29
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p23245,sdef247,sdef253]) ).
cnf(p23246,plain,
( ~ spl29
| ~ spl27
| def81
| def77 ),
inference(resolution,[status(thm)],[p15140,c349]) ).
cnf(ssp442,plain,
( spl255
| spl247
| ~ spl29
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p23246,sdef247,sdef255]) ).
cnf(p15141,plain,
( ~ spl29
| ~ spl27
| def83
| def77 ),
inference(resolution,[status(thm)],[p15099,c355]) ).
cnf(p23247,plain,
( ~ spl29
| ~ spl27
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p15141,c351]) ).
cnf(ssp443,plain,
( spl247
| spl154
| spl59
| ~ spl29
| ~ spl27 ),
inference(avatar_split_clause,[status(thm)],[p23247,sdef59,sdef154,sdef247]) ).
cnf(p23085,plain,
( ~ spl12
| ~ spl1
| def86
| def77 ),
inference(resolution,[status(thm)],[p23070,c366]) ).
cnf(p23095,plain,
( ~ spl12
| ~ spl1
| def84
| def77 ),
inference(resolution,[status(thm)],[p23085,c360]) ).
cnf(p23254,plain,
( ~ spl12
| ~ spl1
| def82
| def77 ),
inference(resolution,[status(thm)],[p23095,c354]) ).
cnf(p23372,plain,
( ~ spl12
| ~ spl1
| def80
| def77 ),
inference(resolution,[status(thm)],[p23254,c348]) ).
cnf(ssp444,plain,
( spl253
| spl247
| ~ spl12
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p23372,sdef247,sdef253]) ).
cnf(p23373,plain,
( ~ spl12
| ~ spl1
| def81
| def77 ),
inference(resolution,[status(thm)],[p23254,c349]) ).
cnf(ssp445,plain,
( spl255
| spl247
| ~ spl12
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p23373,sdef247,sdef255]) ).
cnf(p23255,plain,
( ~ spl12
| ~ spl1
| def83
| def77 ),
inference(resolution,[status(thm)],[p23095,c355]) ).
cnf(p23374,plain,
( ~ spl12
| ~ spl1
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p23255,c351]) ).
cnf(ssp446,plain,
( spl247
| spl154
| spl59
| ~ spl12
| ~ spl1 ),
inference(avatar_split_clause,[status(thm)],[p23374,sdef59,sdef154,sdef247]) ).
cnf(p14174,plain,
( ~ spl29
| op(e0,e1) != e3
| def93 ),
inference(superposition,[status(thm)],[p4617,c54]) ).
cnf(p23239,plain,
( ~ spl29
| ~ spl7
| def93 ),
inference(resolution,[status(thm)],[p9,p14174]) ).
cnf(p23242,plain,
( ~ spl29
| ~ spl7
| def92
| def77 ),
inference(resolution,[status(thm)],[p23239,c381]) ).
cnf(p23368,plain,
( ~ spl29
| ~ spl7
| def91
| def77 ),
inference(resolution,[status(thm)],[p23242,c379]) ).
cnf(p23687,plain,
( ~ spl29
| ~ spl7
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p23368,c375]) ).
cnf(ssp447,plain,
( spl247
| spl173
| spl62
| ~ spl29
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23687,sdef62,sdef173,sdef247]) ).
cnf(p3049,plain,
( ~ spl7
| op(e0,e0) != e3 ),
inference(superposition,[status(thm)],[p9,c72]) ).
cnf(p23248,plain,
( ~ spl12
| ~ spl7
| def93 ),
inference(resolution,[status(thm)],[p3049,p21985]) ).
cnf(p23249,plain,
( ~ spl12
| ~ spl7
| def92
| def77 ),
inference(resolution,[status(thm)],[p23248,c381]) ).
cnf(p23371,plain,
( ~ spl12
| ~ spl7
| def91
| def77 ),
inference(resolution,[status(thm)],[p23249,c379]) ).
cnf(p23690,plain,
( ~ spl12
| ~ spl7
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p23371,c375]) ).
cnf(ssp448,plain,
( spl247
| spl173
| spl62
| ~ spl12
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23690,sdef62,sdef173,sdef247]) ).
cnf(p22990,plain,
( ~ spl29
| ~ spl20
| def90
| def77 ),
inference(resolution,[status(thm)],[p22869,c378]) ).
cnf(p23224,plain,
( ~ spl29
| ~ spl20
| def88
| def77 ),
inference(resolution,[status(thm)],[p22990,c372]) ).
cnf(p23365,plain,
( ~ spl29
| ~ spl20
| def86
| def77 ),
inference(resolution,[status(thm)],[p23224,c366]) ).
cnf(p23685,plain,
( ~ spl29
| ~ spl20
| def85
| def77 ),
inference(resolution,[status(thm)],[p23365,c361]) ).
cnf(p23727,plain,
( ~ spl29
| ~ spl20
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p23685,c357]) ).
cnf(ssp449,plain,
( spl247
| spl79
| spl2
| ~ spl29
| ~ spl20 ),
inference(avatar_split_clause,[status(thm)],[p23727,sdef2,sdef79,sdef247]) ).
cnf(p23638,plain,
( ~ spl35
| ~ spl12
| def93 ),
inference(resolution,[status(thm)],[p1672,p21985]) ).
cnf(p23641,plain,
( ~ spl35
| ~ spl12
| def92
| def77 ),
inference(resolution,[status(thm)],[p23638,c381]) ).
cnf(p23697,plain,
( ~ spl35
| ~ spl12
| def91
| def77 ),
inference(resolution,[status(thm)],[p23641,c379]) ).
cnf(p23733,plain,
( ~ spl35
| ~ spl12
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p23697,c375]) ).
cnf(ssp450,plain,
( spl247
| spl173
| spl62
| ~ spl35
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p23733,sdef62,sdef173,sdef247]) ).
cnf(p23684,plain,
( ~ spl29
| ~ spl20
| def84
| def77 ),
inference(resolution,[status(thm)],[p23365,c360]) ).
cnf(p23725,plain,
( ~ spl29
| ~ spl20
| def82
| def77 ),
inference(resolution,[status(thm)],[p23684,c354]) ).
cnf(p23734,plain,
( ~ spl29
| ~ spl20
| def80
| def77 ),
inference(resolution,[status(thm)],[p23725,c348]) ).
cnf(ssp451,plain,
( spl253
| spl247
| ~ spl29
| ~ spl20 ),
inference(avatar_split_clause,[status(thm)],[p23734,sdef247,sdef253]) ).
cnf(p23735,plain,
( ~ spl29
| ~ spl20
| def81
| def77 ),
inference(resolution,[status(thm)],[p23725,c349]) ).
cnf(ssp452,plain,
( spl255
| spl247
| ~ spl29
| ~ spl20 ),
inference(avatar_split_clause,[status(thm)],[p23735,sdef247,sdef255]) ).
cnf(p23726,plain,
( ~ spl29
| ~ spl20
| def83
| def77 ),
inference(resolution,[status(thm)],[p23684,c355]) ).
cnf(p23736,plain,
( ~ spl29
| ~ spl20
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p23726,c351]) ).
cnf(ssp453,plain,
( spl247
| spl154
| spl59
| ~ spl29
| ~ spl20 ),
inference(avatar_split_clause,[status(thm)],[p23736,sdef59,sdef154,sdef247]) ).
cnf(p23370,plain,
( ~ spl12
| ~ spl7
| def90
| def77 ),
inference(resolution,[status(thm)],[p23249,c378]) ).
cnf(p23689,plain,
( ~ spl12
| ~ spl7
| def88
| def77 ),
inference(resolution,[status(thm)],[p23370,c372]) ).
cnf(p23730,plain,
( ~ spl12
| ~ spl7
| def87
| def77 ),
inference(resolution,[status(thm)],[p23689,c367]) ).
cnf(p23740,plain,
( ~ spl12
| ~ spl7
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p23730,c363]) ).
cnf(ssp454,plain,
( spl247
| spl111
| spl22
| ~ spl12
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23740,sdef22,sdef111,sdef247]) ).
cnf(p23367,plain,
( ~ spl29
| ~ spl7
| def90
| def77 ),
inference(resolution,[status(thm)],[p23242,c378]) ).
cnf(p23686,plain,
( ~ spl29
| ~ spl7
| def88
| def77 ),
inference(resolution,[status(thm)],[p23367,c372]) ).
cnf(p23728,plain,
( ~ spl29
| ~ spl7
| def86
| def77 ),
inference(resolution,[status(thm)],[p23686,c366]) ).
cnf(p23738,plain,
( ~ spl29
| ~ spl7
| def85
| def77 ),
inference(resolution,[status(thm)],[p23728,c361]) ).
cnf(p23747,plain,
( ~ spl29
| ~ spl7
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p23738,c357]) ).
cnf(ssp455,plain,
( spl247
| spl79
| spl2
| ~ spl29
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23747,sdef2,sdef79,sdef247]) ).
cnf(p14834,plain,
( ~ spl46
| ~ spl40
| def93
| e0 = e3 ),
inference(superposition,[status(thm)],[p51,p8836]) ).
cnf(p23578,plain,
( ~ spl46
| ~ spl40
| def93 ),
inference(resolution,[status(thm)],[p14834,c98]) ).
cnf(p23579,plain,
( ~ spl46
| ~ spl40
| def92
| def77 ),
inference(resolution,[status(thm)],[p23578,c381]) ).
cnf(p23692,plain,
( ~ spl46
| ~ spl40
| def90
| def77 ),
inference(resolution,[status(thm)],[p23579,c378]) ).
cnf(p23731,plain,
( ~ spl46
| ~ spl40
| def88
| def77 ),
inference(resolution,[status(thm)],[p23692,c372]) ).
cnf(p23742,plain,
( ~ spl46
| ~ spl40
| def87
| def77 ),
inference(resolution,[status(thm)],[p23731,c367]) ).
cnf(p23751,plain,
( ~ spl46
| ~ spl40
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p23742,c363]) ).
cnf(ssp456,plain,
( spl247
| spl111
| spl22
| ~ spl46
| ~ spl40 ),
inference(avatar_split_clause,[status(thm)],[p23751,sdef22,sdef111,sdef247]) ).
cnf(p23696,plain,
( ~ spl35
| ~ spl12
| def90
| def77 ),
inference(resolution,[status(thm)],[p23641,c378]) ).
cnf(p23732,plain,
( ~ spl35
| ~ spl12
| def88
| def77 ),
inference(resolution,[status(thm)],[p23696,c372]) ).
cnf(p23744,plain,
( ~ spl35
| ~ spl12
| def87
| def77 ),
inference(resolution,[status(thm)],[p23732,c367]) ).
cnf(p23753,plain,
( ~ spl35
| ~ spl12
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p23744,c363]) ).
cnf(ssp457,plain,
( spl247
| spl111
| spl22
| ~ spl35
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p23753,sdef22,sdef111,sdef247]) ).
cnf(p23737,plain,
( ~ spl29
| ~ spl7
| def84
| def77 ),
inference(resolution,[status(thm)],[p23728,c360]) ).
cnf(p23745,plain,
( ~ spl29
| ~ spl7
| def82
| def77 ),
inference(resolution,[status(thm)],[p23737,c354]) ).
cnf(p23754,plain,
( ~ spl29
| ~ spl7
| def80
| def77 ),
inference(resolution,[status(thm)],[p23745,c348]) ).
cnf(ssp458,plain,
( spl253
| spl247
| ~ spl29
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23754,sdef247,sdef253]) ).
cnf(p23755,plain,
( ~ spl29
| ~ spl7
| def81
| def77 ),
inference(resolution,[status(thm)],[p23745,c349]) ).
cnf(ssp459,plain,
( spl255
| spl247
| ~ spl29
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23755,sdef247,sdef255]) ).
cnf(p23746,plain,
( ~ spl29
| ~ spl7
| def83
| def77 ),
inference(resolution,[status(thm)],[p23737,c355]) ).
cnf(p23756,plain,
( ~ spl29
| ~ spl7
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p23746,c351]) ).
cnf(ssp460,plain,
( spl247
| spl154
| spl59
| ~ spl29
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23756,sdef59,sdef154,sdef247]) ).
cnf(p23729,plain,
( ~ spl12
| ~ spl7
| def86
| def77 ),
inference(resolution,[status(thm)],[p23689,c366]) ).
cnf(p23739,plain,
( ~ spl12
| ~ spl7
| def84
| def77 ),
inference(resolution,[status(thm)],[p23729,c360]) ).
cnf(p23748,plain,
( ~ spl12
| ~ spl7
| def82
| def77 ),
inference(resolution,[status(thm)],[p23739,c354]) ).
cnf(p23757,plain,
( ~ spl12
| ~ spl7
| def80
| def77 ),
inference(resolution,[status(thm)],[p23748,c348]) ).
cnf(ssp461,plain,
( spl253
| spl247
| ~ spl12
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23757,sdef247,sdef253]) ).
cnf(p23758,plain,
( ~ spl12
| ~ spl7
| def81
| def77 ),
inference(resolution,[status(thm)],[p23748,c349]) ).
cnf(ssp462,plain,
( spl255
| spl247
| ~ spl12
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23758,sdef247,sdef255]) ).
cnf(p23749,plain,
( ~ spl12
| ~ spl7
| def83
| def77 ),
inference(resolution,[status(thm)],[p23739,c355]) ).
cnf(p23759,plain,
( ~ spl12
| ~ spl7
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p23749,c351]) ).
cnf(ssp463,plain,
( spl247
| spl154
| spl59
| ~ spl12
| ~ spl7 ),
inference(avatar_split_clause,[status(thm)],[p23759,sdef59,sdef154,sdef247]) ).
cnf(p23741,plain,
( ~ spl46
| ~ spl40
| def86
| def77 ),
inference(resolution,[status(thm)],[p23731,c366]) ).
cnf(p23750,plain,
( ~ spl46
| ~ spl40
| def84
| def77 ),
inference(resolution,[status(thm)],[p23741,c360]) ).
cnf(p23760,plain,
( ~ spl46
| ~ spl40
| def82
| def77 ),
inference(resolution,[status(thm)],[p23750,c354]) ).
cnf(p23764,plain,
( ~ spl46
| ~ spl40
| def80
| def77 ),
inference(resolution,[status(thm)],[p23760,c348]) ).
cnf(ssp464,plain,
( spl253
| spl247
| ~ spl46
| ~ spl40 ),
inference(avatar_split_clause,[status(thm)],[p23764,sdef247,sdef253]) ).
cnf(p23765,plain,
( ~ spl46
| ~ spl40
| def81
| def77 ),
inference(resolution,[status(thm)],[p23760,c349]) ).
cnf(ssp465,plain,
( spl255
| spl247
| ~ spl46
| ~ spl40 ),
inference(avatar_split_clause,[status(thm)],[p23765,sdef247,sdef255]) ).
cnf(p23743,plain,
( ~ spl35
| ~ spl12
| def86
| def77 ),
inference(resolution,[status(thm)],[p23732,c366]) ).
cnf(p23752,plain,
( ~ spl35
| ~ spl12
| def84
| def77 ),
inference(resolution,[status(thm)],[p23743,c360]) ).
cnf(p23761,plain,
( ~ spl35
| ~ spl12
| def82
| def77 ),
inference(resolution,[status(thm)],[p23752,c354]) ).
cnf(p23766,plain,
( ~ spl35
| ~ spl12
| def80
| def77 ),
inference(resolution,[status(thm)],[p23761,c348]) ).
cnf(ssp466,plain,
( spl253
| spl247
| ~ spl35
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p23766,sdef247,sdef253]) ).
cnf(p23767,plain,
( ~ spl35
| ~ spl12
| def81
| def77 ),
inference(resolution,[status(thm)],[p23761,c349]) ).
cnf(ssp467,plain,
( spl255
| spl247
| ~ spl35
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p23767,sdef247,sdef255]) ).
cnf(p23762,plain,
( ~ spl35
| ~ spl12
| def83
| def77 ),
inference(resolution,[status(thm)],[p23752,c355]) ).
cnf(p23768,plain,
( ~ spl35
| ~ spl12
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p23762,c351]) ).
cnf(ssp468,plain,
( spl247
| spl154
| spl59
| ~ spl35
| ~ spl12 ),
inference(avatar_split_clause,[status(thm)],[p23768,sdef59,sdef154,sdef247]) ).
cnf(p4481,plain,
( ~ spl43
| ~ spl38
| e2 != e2
| def93 ),
inference(superposition,[status(thm)],[p4186,p3069]) ).
cnf(p26557,plain,
( ~ spl43
| ~ spl38
| def93 ),
inference(equality_resolution,[status(thm)],[p4481]) ).
cnf(p26558,plain,
( ~ spl43
| ~ spl38
| def92
| def77 ),
inference(resolution,[status(thm)],[p26557,c381]) ).
cnf(p26559,plain,
( ~ spl43
| ~ spl38
| def90
| def77 ),
inference(resolution,[status(thm)],[p26558,c378]) ).
cnf(p26560,plain,
( ~ spl43
| ~ spl38
| def88
| def77 ),
inference(resolution,[status(thm)],[p26559,c372]) ).
cnf(p26562,plain,
( ~ spl43
| ~ spl38
| def87
| def77 ),
inference(resolution,[status(thm)],[p26560,c367]) ).
cnf(p26566,plain,
( ~ spl43
| ~ spl38
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p26562,c363]) ).
cnf(ssp469,plain,
( spl247
| spl111
| spl22
| ~ spl43
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p26566,sdef22,sdef111,sdef247]) ).
cnf(p26561,plain,
( ~ spl43
| ~ spl38
| def86
| def77 ),
inference(resolution,[status(thm)],[p26560,c366]) ).
cnf(p26564,plain,
( ~ spl43
| ~ spl38
| def85
| def77 ),
inference(resolution,[status(thm)],[p26561,c361]) ).
cnf(p26569,plain,
( ~ spl43
| ~ spl38
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p26564,c357]) ).
cnf(ssp470,plain,
( spl247
| spl79
| spl2
| ~ spl43
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p26569,sdef2,sdef79,sdef247]) ).
cnf(p26563,plain,
( ~ spl43
| ~ spl38
| def84
| def77 ),
inference(resolution,[status(thm)],[p26561,c360]) ).
cnf(p26567,plain,
( ~ spl43
| ~ spl38
| def82
| def77 ),
inference(resolution,[status(thm)],[p26563,c354]) ).
cnf(p26573,plain,
( ~ spl43
| ~ spl38
| def80
| def77 ),
inference(resolution,[status(thm)],[p26567,c348]) ).
cnf(ssp471,plain,
( spl253
| spl247
| ~ spl43
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p26573,sdef247,sdef253]) ).
cnf(p26574,plain,
( ~ spl43
| ~ spl38
| def81
| def77 ),
inference(resolution,[status(thm)],[p26567,c349]) ).
cnf(ssp472,plain,
( spl255
| spl247
| ~ spl43
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p26574,sdef247,sdef255]) ).
cnf(p26568,plain,
( ~ spl43
| ~ spl38
| def83
| def77 ),
inference(resolution,[status(thm)],[p26563,c355]) ).
cnf(p26575,plain,
( ~ spl43
| ~ spl38
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p26568,c351]) ).
cnf(ssp473,plain,
( spl247
| spl154
| spl59
| ~ spl43
| ~ spl38 ),
inference(avatar_split_clause,[status(thm)],[p26575,sdef59,sdef154,sdef247]) ).
cnf(p8444,plain,
( ~ spl45
| ~ spl43
| def93
| e1 = e2 ),
inference(superposition,[status(thm)],[p57,p4186]) ).
cnf(p26587,plain,
( ~ spl45
| ~ spl43
| def93 ),
inference(resolution,[status(thm)],[p8444,c99]) ).
cnf(p26588,plain,
( ~ spl45
| ~ spl43
| def92
| def77 ),
inference(resolution,[status(thm)],[p26587,c381]) ).
cnf(p26589,plain,
( ~ spl45
| ~ spl43
| def90
| def77 ),
inference(resolution,[status(thm)],[p26588,c378]) ).
cnf(p26590,plain,
( ~ spl45
| ~ spl43
| def88
| def77 ),
inference(resolution,[status(thm)],[p26589,c372]) ).
cnf(p26592,plain,
( ~ spl45
| ~ spl43
| def87
| def77 ),
inference(resolution,[status(thm)],[p26590,c367]) ).
cnf(p26595,plain,
( ~ spl45
| ~ spl43
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p26592,c363]) ).
cnf(ssp474,plain,
( spl247
| spl111
| spl22
| ~ spl45
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p26595,sdef22,sdef111,sdef247]) ).
cnf(p26591,plain,
( ~ spl45
| ~ spl43
| def86
| def77 ),
inference(resolution,[status(thm)],[p26590,c366]) ).
cnf(p26594,plain,
( ~ spl45
| ~ spl43
| def85
| def77 ),
inference(resolution,[status(thm)],[p26591,c361]) ).
cnf(p26598,plain,
( ~ spl45
| ~ spl43
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p26594,c357]) ).
cnf(ssp475,plain,
( spl247
| spl79
| spl2
| ~ spl45
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p26598,sdef2,sdef79,sdef247]) ).
cnf(p26593,plain,
( ~ spl45
| ~ spl43
| def84
| def77 ),
inference(resolution,[status(thm)],[p26591,c360]) ).
cnf(p26596,plain,
( ~ spl45
| ~ spl43
| def82
| def77 ),
inference(resolution,[status(thm)],[p26593,c354]) ).
cnf(p26599,plain,
( ~ spl45
| ~ spl43
| def80
| def77 ),
inference(resolution,[status(thm)],[p26596,c348]) ).
cnf(ssp476,plain,
( spl253
| spl247
| ~ spl45
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p26599,sdef247,sdef253]) ).
cnf(p26600,plain,
( ~ spl45
| ~ spl43
| def81
| def77 ),
inference(resolution,[status(thm)],[p26596,c349]) ).
cnf(ssp477,plain,
( spl255
| spl247
| ~ spl45
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p26600,sdef247,sdef255]) ).
cnf(p26597,plain,
( ~ spl45
| ~ spl43
| def83
| def77 ),
inference(resolution,[status(thm)],[p26593,c355]) ).
cnf(p26601,plain,
( ~ spl45
| ~ spl43
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p26597,c351]) ).
cnf(ssp478,plain,
( spl247
| spl154
| spl59
| ~ spl45
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p26601,sdef59,sdef154,sdef247]) ).
cnf(p21441,plain,
( ~ spl29
| ~ spl19
| def90
| def77 ),
inference(resolution,[status(thm)],[p15174,c378]) ).
cnf(p21564,plain,
( ~ spl29
| ~ spl19
| def88
| def77 ),
inference(resolution,[status(thm)],[p21441,c372]) ).
cnf(p22882,plain,
( ~ spl29
| ~ spl19
| def86
| def77 ),
inference(resolution,[status(thm)],[p21564,c366]) ).
cnf(p23020,plain,
( ~ spl29
| ~ spl19
| def85
| def77 ),
inference(resolution,[status(thm)],[p22882,c361]) ).
cnf(p28696,plain,
( ~ spl29
| ~ spl19
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p23020,c357]) ).
cnf(ssp479,plain,
( spl247
| spl79
| spl2
| ~ spl29
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p28696,sdef2,sdef79,sdef247]) ).
cnf(p23019,plain,
( ~ spl29
| ~ spl19
| def84
| def77 ),
inference(resolution,[status(thm)],[p22882,c360]) ).
cnf(p28694,plain,
( ~ spl29
| ~ spl19
| def82
| def77 ),
inference(resolution,[status(thm)],[p23019,c354]) ).
cnf(p28732,plain,
( ~ spl29
| ~ spl19
| def80
| def77 ),
inference(resolution,[status(thm)],[p28694,c348]) ).
cnf(ssp480,plain,
( spl253
| spl247
| ~ spl29
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p28732,sdef247,sdef253]) ).
cnf(p28733,plain,
( ~ spl29
| ~ spl19
| def81
| def77 ),
inference(resolution,[status(thm)],[p28694,c349]) ).
cnf(ssp481,plain,
( spl255
| spl247
| ~ spl29
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p28733,sdef247,sdef255]) ).
cnf(p28695,plain,
( ~ spl29
| ~ spl19
| def83
| def77 ),
inference(resolution,[status(thm)],[p23019,c355]) ).
cnf(p28734,plain,
( ~ spl29
| ~ spl19
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p28695,c351]) ).
cnf(ssp482,plain,
( spl247
| spl154
| spl59
| ~ spl29
| ~ spl19 ),
inference(avatar_split_clause,[status(thm)],[p28734,sdef59,sdef154,sdef247]) ).
cnf(p9764,plain,
( ~ spl46
| op(e2,e1) != e3
| def93 ),
inference(superposition,[status(thm)],[p8836,c87]) ).
cnf(p28762,plain,
( ~ spl46
| ~ spl39
| def93 ),
inference(resolution,[status(thm)],[p49,p9764]) ).
cnf(p28763,plain,
( ~ spl46
| ~ spl39
| def92
| def77 ),
inference(resolution,[status(thm)],[p28762,c381]) ).
cnf(p28768,plain,
( ~ spl46
| ~ spl39
| def90
| def77 ),
inference(resolution,[status(thm)],[p28763,c378]) ).
cnf(p28769,plain,
( ~ spl46
| ~ spl39
| def88
| def77 ),
inference(resolution,[status(thm)],[p28768,c372]) ).
cnf(p28771,plain,
( ~ spl46
| ~ spl39
| def87
| def77 ),
inference(resolution,[status(thm)],[p28769,c367]) ).
cnf(p28774,plain,
( ~ spl46
| ~ spl39
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p28771,c363]) ).
cnf(ssp483,plain,
( spl247
| spl111
| spl22
| ~ spl46
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p28774,sdef22,sdef111,sdef247]) ).
cnf(p28770,plain,
( ~ spl46
| ~ spl39
| def86
| def77 ),
inference(resolution,[status(thm)],[p28769,c366]) ).
cnf(p28773,plain,
( ~ spl46
| ~ spl39
| def85
| def77 ),
inference(resolution,[status(thm)],[p28770,c361]) ).
cnf(p28776,plain,
( ~ spl46
| ~ spl39
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p28773,c357]) ).
cnf(ssp484,plain,
( spl247
| spl79
| spl2
| ~ spl46
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p28776,sdef2,sdef79,sdef247]) ).
cnf(p28772,plain,
( ~ spl46
| ~ spl39
| def84
| def77 ),
inference(resolution,[status(thm)],[p28770,c360]) ).
cnf(p28775,plain,
( ~ spl46
| ~ spl39
| def82
| def77 ),
inference(resolution,[status(thm)],[p28772,c354]) ).
cnf(p28777,plain,
( ~ spl46
| ~ spl39
| def80
| def77 ),
inference(resolution,[status(thm)],[p28775,c348]) ).
cnf(ssp485,plain,
( spl253
| spl247
| ~ spl46
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p28777,sdef247,sdef253]) ).
cnf(p28778,plain,
( ~ spl46
| ~ spl39
| def81
| def77 ),
inference(resolution,[status(thm)],[p28775,c349]) ).
cnf(ssp486,plain,
( spl255
| spl247
| ~ spl46
| ~ spl39 ),
inference(avatar_split_clause,[status(thm)],[p28778,sdef247,sdef255]) ).
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])],[f4_sk]) ).
cnf(p3252,plain,
( def94
| def93 ),
inference(resolution,[status(thm)],[p3250,c390]) ).
cnf(p3254,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| def93 ),
inference(resolution,[status(thm)],[p3252,c384]) ).
cnf(p29053,plain,
( ~ spl3
| op(e0,e3) = e0
| def93 ),
inference(resolution,[status(thm)],[p4,p3254]) ).
cnf(p29318,plain,
( ~ spl88
| ~ spl3
| def93 ),
inference(resolution,[status(thm)],[p29053,p216]) ).
cnf(p29323,plain,
( ~ spl88
| ~ spl3
| def92
| def77 ),
inference(resolution,[status(thm)],[p29318,c381]) ).
cnf(p29326,plain,
( ~ spl88
| ~ spl3
| def91
| def77 ),
inference(resolution,[status(thm)],[p29323,c379]) ).
cnf(p29331,plain,
( ~ spl88
| ~ spl3
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p29326,c375]) ).
cnf(ssp487,plain,
( spl247
| spl173
| spl62
| ~ spl88
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29331,sdef62,sdef173,sdef247]) ).
cnf(p29325,plain,
( ~ spl88
| ~ spl3
| def90
| def77 ),
inference(resolution,[status(thm)],[p29323,c378]) ).
cnf(p29330,plain,
( ~ spl88
| ~ spl3
| def88
| def77 ),
inference(resolution,[status(thm)],[p29325,c372]) ).
cnf(p29399,plain,
( ~ spl88
| ~ spl3
| def87
| def77 ),
inference(resolution,[status(thm)],[p29330,c367]) ).
cnf(p29469,plain,
( ~ spl88
| ~ spl3
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p29399,c363]) ).
cnf(ssp488,plain,
( spl247
| spl111
| spl22
| ~ spl88
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29469,sdef22,sdef111,sdef247]) ).
cnf(p2561,plain,
( ~ spl60
| op(e0,e3) != e0 ),
inference(superposition,[status(thm)],[p76,c68]) ).
cnf(p29321,plain,
( ~ spl60
| ~ spl3
| def93 ),
inference(resolution,[status(thm)],[p29053,p2561]) ).
cnf(p29324,plain,
( ~ spl60
| ~ spl3
| def92
| def77 ),
inference(resolution,[status(thm)],[p29321,c381]) ).
cnf(p29327,plain,
( ~ spl60
| ~ spl3
| def90
| def77 ),
inference(resolution,[status(thm)],[p29324,c378]) ).
cnf(p29388,plain,
( ~ spl60
| ~ spl3
| def88
| def77 ),
inference(resolution,[status(thm)],[p29327,c372]) ).
cnf(p29464,plain,
( ~ spl60
| ~ spl3
| def87
| def77 ),
inference(resolution,[status(thm)],[p29388,c367]) ).
cnf(p29513,plain,
( ~ spl60
| ~ spl3
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p29464,c363]) ).
cnf(ssp489,plain,
( spl247
| spl111
| spl22
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29513,sdef22,sdef111,sdef247]) ).
cnf(p29310,plain,
( ~ spl14
| ~ spl3
| e0 = e2
| def93 ),
inference(superposition,[status(thm)],[p29053,p18]) ).
cnf(p29344,plain,
( ~ spl14
| ~ spl3
| def93 ),
inference(resolution,[status(thm)],[p29310,c97]) ).
cnf(p29395,plain,
( ~ spl14
| ~ spl3
| def92
| def77 ),
inference(resolution,[status(thm)],[p29344,c381]) ).
cnf(p29466,plain,
( ~ spl14
| ~ spl3
| def91
| def77 ),
inference(resolution,[status(thm)],[p29395,c379]) ).
cnf(p29515,plain,
( ~ spl14
| ~ spl3
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p29466,c375]) ).
cnf(ssp490,plain,
( spl247
| spl173
| spl62
| ~ spl14
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29515,sdef62,sdef173,sdef247]) ).
cnf(p29316,plain,
( ~ spl3
| op(e0,e1) != e0
| def93 ),
inference(superposition,[status(thm)],[p29053,c76]) ).
cnf(p29377,plain,
( ~ spl4
| ~ spl3
| def93 ),
inference(resolution,[status(thm)],[p29316,p6]) ).
cnf(p29436,plain,
( ~ spl4
| ~ spl3
| def92
| def77 ),
inference(resolution,[status(thm)],[p29377,c381]) ).
cnf(p29477,plain,
( ~ spl4
| ~ spl3
| def91
| def77 ),
inference(resolution,[status(thm)],[p29436,c379]) ).
cnf(p29524,plain,
( ~ spl4
| ~ spl3
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p29477,c375]) ).
cnf(ssp491,plain,
( spl247
| spl173
| spl62
| ~ spl4
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29524,sdef62,sdef173,sdef247]) ).
cnf(p29398,plain,
( ~ spl88
| ~ spl3
| def86
| def77 ),
inference(resolution,[status(thm)],[p29330,c366]) ).
cnf(p29467,plain,
( ~ spl88
| ~ spl3
| def84
| def77 ),
inference(resolution,[status(thm)],[p29398,c360]) ).
cnf(p29516,plain,
( ~ spl88
| ~ spl3
| def82
| def77 ),
inference(resolution,[status(thm)],[p29467,c354]) ).
cnf(p29604,plain,
( ~ spl88
| ~ spl3
| def80
| def77 ),
inference(resolution,[status(thm)],[p29516,c348]) ).
cnf(ssp492,plain,
( spl253
| spl247
| ~ spl88
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29604,sdef247,sdef253]) ).
cnf(p29605,plain,
( ~ spl88
| ~ spl3
| def81
| def77 ),
inference(resolution,[status(thm)],[p29516,c349]) ).
cnf(ssp493,plain,
( spl255
| spl247
| ~ spl88
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29605,sdef247,sdef255]) ).
cnf(p29517,plain,
( ~ spl88
| ~ spl3
| def83
| def77 ),
inference(resolution,[status(thm)],[p29467,c355]) ).
cnf(p29606,plain,
( ~ spl88
| ~ spl3
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p29517,c351]) ).
cnf(ssp494,plain,
( spl247
| spl154
| spl59
| ~ spl88
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29606,sdef59,sdef154,sdef247]) ).
cnf(p29463,plain,
( ~ spl60
| ~ spl3
| def86
| def77 ),
inference(resolution,[status(thm)],[p29388,c366]) ).
cnf(p29511,plain,
( ~ spl60
| ~ spl3
| def84
| def77 ),
inference(resolution,[status(thm)],[p29463,c360]) ).
cnf(p29600,plain,
( ~ spl60
| ~ spl3
| def82
| def77 ),
inference(resolution,[status(thm)],[p29511,c354]) ).
cnf(p29632,plain,
( ~ spl60
| ~ spl3
| def80
| def77 ),
inference(resolution,[status(thm)],[p29600,c348]) ).
cnf(ssp495,plain,
( spl253
| spl247
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29632,sdef247,sdef253]) ).
cnf(p29633,plain,
( ~ spl60
| ~ spl3
| def81
| def77 ),
inference(resolution,[status(thm)],[p29600,c349]) ).
cnf(ssp496,plain,
( spl255
| spl247
| ~ spl60
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29633,sdef247,sdef255]) ).
cnf(p29465,plain,
( ~ spl14
| ~ spl3
| def90
| def77 ),
inference(resolution,[status(thm)],[p29395,c378]) ).
cnf(p29514,plain,
( ~ spl14
| ~ spl3
| def88
| def77 ),
inference(resolution,[status(thm)],[p29465,c372]) ).
cnf(p29603,plain,
( ~ spl14
| ~ spl3
| def87
| def77 ),
inference(resolution,[status(thm)],[p29514,c367]) ).
cnf(p29636,plain,
( ~ spl14
| ~ spl3
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p29603,c363]) ).
cnf(ssp497,plain,
( spl247
| spl111
| spl22
| ~ spl14
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29636,sdef22,sdef111,sdef247]) ).
cnf(p29476,plain,
( ~ spl4
| ~ spl3
| def90
| def77 ),
inference(resolution,[status(thm)],[p29436,c378]) ).
cnf(p29523,plain,
( ~ spl4
| ~ spl3
| def88
| def77 ),
inference(resolution,[status(thm)],[p29476,c372]) ).
cnf(p29619,plain,
( ~ spl4
| ~ spl3
| def87
| def77 ),
inference(resolution,[status(thm)],[p29523,c367]) ).
cnf(p29638,plain,
( ~ spl4
| ~ spl3
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p29619,c363]) ).
cnf(ssp498,plain,
( spl247
| spl111
| spl22
| ~ spl4
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29638,sdef22,sdef111,sdef247]) ).
cnf(p4473,plain,
( ~ spl43
| op(e0,e3) != e2
| def93 ),
inference(superposition,[status(thm)],[p4186,c67]) ).
cnf(p29453,plain,
( ~ spl43
| ~ spl14
| def93 ),
inference(resolution,[status(thm)],[p4473,p18]) ).
cnf(p29455,plain,
( ~ spl43
| ~ spl14
| def92
| def77 ),
inference(resolution,[status(thm)],[p29453,c381]) ).
cnf(p29508,plain,
( ~ spl43
| ~ spl14
| def90
| def77 ),
inference(resolution,[status(thm)],[p29455,c378]) ).
cnf(p29594,plain,
( ~ spl43
| ~ spl14
| def88
| def77 ),
inference(resolution,[status(thm)],[p29508,c372]) ).
cnf(p29631,plain,
( ~ spl43
| ~ spl14
| def87
| def77 ),
inference(resolution,[status(thm)],[p29594,c367]) ).
cnf(p29641,plain,
( ~ spl43
| ~ spl14
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p29631,c363]) ).
cnf(ssp499,plain,
( spl247
| spl111
| spl22
| ~ spl43
| ~ spl14 ),
inference(avatar_split_clause,[status(thm)],[p29641,sdef22,sdef111,sdef247]) ).
cnf(p29630,plain,
( ~ spl43
| ~ spl14
| def86
| def77 ),
inference(resolution,[status(thm)],[p29594,c366]) ).
cnf(p29640,plain,
( ~ spl43
| ~ spl14
| def85
| def77 ),
inference(resolution,[status(thm)],[p29630,c361]) ).
cnf(p29647,plain,
( ~ spl43
| ~ spl14
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p29640,c357]) ).
cnf(ssp500,plain,
( spl247
| spl79
| spl2
| ~ spl43
| ~ spl14 ),
inference(avatar_split_clause,[status(thm)],[p29647,sdef2,sdef79,sdef247]) ).
cnf(p29602,plain,
( ~ spl14
| ~ spl3
| def86
| def77 ),
inference(resolution,[status(thm)],[p29514,c366]) ).
cnf(p29634,plain,
( ~ spl14
| ~ spl3
| def84
| def77 ),
inference(resolution,[status(thm)],[p29602,c360]) ).
cnf(p29642,plain,
( ~ spl14
| ~ spl3
| def82
| def77 ),
inference(resolution,[status(thm)],[p29634,c354]) ).
cnf(p29648,plain,
( ~ spl14
| ~ spl3
| def80
| def77 ),
inference(resolution,[status(thm)],[p29642,c348]) ).
cnf(ssp501,plain,
( spl253
| spl247
| ~ spl14
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29648,sdef247,sdef253]) ).
cnf(p29649,plain,
( ~ spl14
| ~ spl3
| def81
| def77 ),
inference(resolution,[status(thm)],[p29642,c349]) ).
cnf(ssp502,plain,
( spl255
| spl247
| ~ spl14
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29649,sdef247,sdef255]) ).
cnf(p29618,plain,
( ~ spl4
| ~ spl3
| def86
| def77 ),
inference(resolution,[status(thm)],[p29523,c366]) ).
cnf(p29637,plain,
( ~ spl4
| ~ spl3
| def84
| def77 ),
inference(resolution,[status(thm)],[p29618,c360]) ).
cnf(p29644,plain,
( ~ spl4
| ~ spl3
| def82
| def77 ),
inference(resolution,[status(thm)],[p29637,c354]) ).
cnf(p29650,plain,
( ~ spl4
| ~ spl3
| def80
| def77 ),
inference(resolution,[status(thm)],[p29644,c348]) ).
cnf(ssp503,plain,
( spl253
| spl247
| ~ spl4
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29650,sdef247,sdef253]) ).
cnf(p29651,plain,
( ~ spl4
| ~ spl3
| def81
| def77 ),
inference(resolution,[status(thm)],[p29644,c349]) ).
cnf(ssp504,plain,
( spl255
| spl247
| ~ spl4
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29651,sdef247,sdef255]) ).
cnf(p29645,plain,
( ~ spl4
| ~ spl3
| def83
| def77 ),
inference(resolution,[status(thm)],[p29637,c355]) ).
cnf(p29652,plain,
( ~ spl4
| ~ spl3
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p29645,c351]) ).
cnf(ssp505,plain,
( spl247
| spl154
| spl59
| ~ spl4
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p29652,sdef59,sdef154,sdef247]) ).
cnf(p29639,plain,
( ~ spl43
| ~ spl14
| def84
| def77 ),
inference(resolution,[status(thm)],[p29630,c360]) ).
cnf(p29646,plain,
( ~ spl43
| ~ spl14
| def82
| def77 ),
inference(resolution,[status(thm)],[p29639,c354]) ).
cnf(p29653,plain,
( ~ spl43
| ~ spl14
| def80
| def77 ),
inference(resolution,[status(thm)],[p29646,c348]) ).
cnf(ssp506,plain,
( spl253
| spl247
| ~ spl43
| ~ spl14 ),
inference(avatar_split_clause,[status(thm)],[p29653,sdef247,sdef253]) ).
cnf(p29654,plain,
( ~ spl43
| ~ spl14
| def81
| def77 ),
inference(resolution,[status(thm)],[p29646,c349]) ).
cnf(ssp507,plain,
( spl255
| spl247
| ~ spl43
| ~ spl14 ),
inference(avatar_split_clause,[status(thm)],[p29654,sdef247,sdef255]) ).
cnf(p29825,plain,
( ~ spl13
| ~ spl3
| e0 = e1
| def93 ),
inference(superposition,[status(thm)],[p29053,p17]) ).
cnf(p30184,plain,
( ~ spl13
| ~ spl3
| def93 ),
inference(resolution,[status(thm)],[p29825,c96]) ).
cnf(p30186,plain,
( ~ spl13
| ~ spl3
| def92
| def77 ),
inference(resolution,[status(thm)],[p30184,c381]) ).
cnf(p30189,plain,
( ~ spl13
| ~ spl3
| def91
| def77 ),
inference(resolution,[status(thm)],[p30186,c379]) ).
cnf(p30193,plain,
( ~ spl13
| ~ spl3
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p30189,c375]) ).
cnf(ssp508,plain,
( spl247
| spl173
| spl62
| ~ spl13
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30193,sdef62,sdef173,sdef247]) ).
cnf(p30190,plain,
( ~ spl44
| ~ spl3
| def93 ),
inference(resolution,[status(thm)],[p3012,p29053]) ).
cnf(p30191,plain,
( ~ spl44
| ~ spl3
| def92
| def77 ),
inference(resolution,[status(thm)],[p30190,c381]) ).
cnf(p30195,plain,
( ~ spl44
| ~ spl3
| def91
| def77 ),
inference(resolution,[status(thm)],[p30191,c379]) ).
cnf(p30199,plain,
( ~ spl44
| ~ spl3
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p30195,c375]) ).
cnf(ssp509,plain,
( spl247
| spl173
| spl62
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30199,sdef62,sdef173,sdef247]) ).
cnf(p30188,plain,
( ~ spl13
| ~ spl3
| def90
| def77 ),
inference(resolution,[status(thm)],[p30186,c378]) ).
cnf(p30192,plain,
( ~ spl13
| ~ spl3
| def88
| def77 ),
inference(resolution,[status(thm)],[p30188,c372]) ).
cnf(p30197,plain,
( ~ spl13
| ~ spl3
| def87
| def77 ),
inference(resolution,[status(thm)],[p30192,c367]) ).
cnf(p30202,plain,
( ~ spl13
| ~ spl3
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p30197,c363]) ).
cnf(ssp510,plain,
( spl247
| spl111
| spl22
| ~ spl13
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30202,sdef22,sdef111,sdef247]) ).
cnf(p30194,plain,
( ~ spl44
| ~ spl3
| def90
| def77 ),
inference(resolution,[status(thm)],[p30191,c378]) ).
cnf(p30198,plain,
( ~ spl44
| ~ spl3
| def88
| def77 ),
inference(resolution,[status(thm)],[p30194,c372]) ).
cnf(p30204,plain,
( ~ spl44
| ~ spl3
| def87
| def77 ),
inference(resolution,[status(thm)],[p30198,c367]) ).
cnf(p30210,plain,
( ~ spl44
| ~ spl3
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p30204,c363]) ).
cnf(ssp511,plain,
( spl247
| spl111
| spl22
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30210,sdef22,sdef111,sdef247]) ).
cnf(p30196,plain,
( ~ spl13
| ~ spl3
| def86
| def77 ),
inference(resolution,[status(thm)],[p30192,c366]) ).
cnf(p30200,plain,
( ~ spl13
| ~ spl3
| def84
| def77 ),
inference(resolution,[status(thm)],[p30196,c360]) ).
cnf(p30205,plain,
( ~ spl13
| ~ spl3
| def82
| def77 ),
inference(resolution,[status(thm)],[p30200,c354]) ).
cnf(p30211,plain,
( ~ spl13
| ~ spl3
| def80
| def77 ),
inference(resolution,[status(thm)],[p30205,c348]) ).
cnf(ssp512,plain,
( spl253
| spl247
| ~ spl13
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30211,sdef247,sdef253]) ).
cnf(p30212,plain,
( ~ spl13
| ~ spl3
| def81
| def77 ),
inference(resolution,[status(thm)],[p30205,c349]) ).
cnf(ssp513,plain,
( spl255
| spl247
| ~ spl13
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30212,sdef247,sdef255]) ).
cnf(p30206,plain,
( ~ spl13
| ~ spl3
| def83
| def77 ),
inference(resolution,[status(thm)],[p30200,c355]) ).
cnf(p30213,plain,
( ~ spl13
| ~ spl3
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p30206,c351]) ).
cnf(ssp514,plain,
( spl247
| spl154
| spl59
| ~ spl13
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30213,sdef59,sdef154,sdef247]) ).
cnf(p30203,plain,
( ~ spl44
| ~ spl3
| def86
| def77 ),
inference(resolution,[status(thm)],[p30198,c366]) ).
cnf(p30208,plain,
( ~ spl44
| ~ spl3
| def84
| def77 ),
inference(resolution,[status(thm)],[p30203,c360]) ).
cnf(p30214,plain,
( ~ spl44
| ~ spl3
| def82
| def77 ),
inference(resolution,[status(thm)],[p30208,c354]) ).
cnf(p30217,plain,
( ~ spl44
| ~ spl3
| def80
| def77 ),
inference(resolution,[status(thm)],[p30214,c348]) ).
cnf(ssp515,plain,
( spl253
| spl247
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30217,sdef247,sdef253]) ).
cnf(p30218,plain,
( ~ spl44
| ~ spl3
| def81
| def77 ),
inference(resolution,[status(thm)],[p30214,c349]) ).
cnf(ssp516,plain,
( spl255
| spl247
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30218,sdef247,sdef255]) ).
cnf(p30215,plain,
( ~ spl44
| ~ spl3
| def83
| def77 ),
inference(resolution,[status(thm)],[p30208,c355]) ).
cnf(p30219,plain,
( ~ spl44
| ~ spl3
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p30215,c351]) ).
cnf(ssp517,plain,
( spl247
| spl154
| spl59
| ~ spl44
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30219,sdef59,sdef154,sdef247]) ).
cnf(p4537,plain,
( ~ spl62
| ~ spl43
| def83
| def77 ),
inference(resolution,[status(thm)],[p4529,c355]) ).
cnf(p4545,plain,
( ~ spl62
| ~ spl43
| op(e3,e2) = e3
| e2 != e2
| def77 ),
inference(resolution,[status(thm)],[p4537,c351]) ).
cnf(p30222,plain,
( ~ spl62
| ~ spl43
| op(e3,e2) = e3
| def77 ),
inference(equality_resolution,[status(thm)],[p4545]) ).
cnf(ssp518,plain,
( spl247
| spl59
| ~ spl62
| ~ spl43 ),
inference(avatar_split_clause,[status(thm)],[p30222,sdef59,sdef247]) ).
cnf(p29317,plain,
( ~ spl3
| op(e0,e2) != e0
| def93 ),
inference(superposition,[status(thm)],[p29053,c77]) ).
cnf(p30236,plain,
( ~ spl8
| ~ spl3
| def93 ),
inference(resolution,[status(thm)],[p11,p29317]) ).
cnf(p30239,plain,
( ~ spl8
| ~ spl3
| def92
| def77 ),
inference(resolution,[status(thm)],[p30236,c381]) ).
cnf(p30241,plain,
( ~ spl8
| ~ spl3
| def91
| def77 ),
inference(resolution,[status(thm)],[p30239,c379]) ).
cnf(p30243,plain,
( ~ spl8
| ~ spl3
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p30241,c375]) ).
cnf(ssp519,plain,
( spl247
| spl173
| spl62
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30243,sdef62,sdef173,sdef247]) ).
cnf(p30240,plain,
( ~ spl8
| ~ spl3
| def90
| def77 ),
inference(resolution,[status(thm)],[p30239,c378]) ).
cnf(p30242,plain,
( ~ spl8
| ~ spl3
| def88
| def77 ),
inference(resolution,[status(thm)],[p30240,c372]) ).
cnf(p30245,plain,
( ~ spl8
| ~ spl3
| def87
| def77 ),
inference(resolution,[status(thm)],[p30242,c367]) ).
cnf(p30248,plain,
( ~ spl8
| ~ spl3
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p30245,c363]) ).
cnf(ssp520,plain,
( spl247
| spl111
| spl22
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30248,sdef22,sdef111,sdef247]) ).
cnf(p30244,plain,
( ~ spl8
| ~ spl3
| def86
| def77 ),
inference(resolution,[status(thm)],[p30242,c366]) ).
cnf(p30246,plain,
( ~ spl8
| ~ spl3
| def84
| def77 ),
inference(resolution,[status(thm)],[p30244,c360]) ).
cnf(p30249,plain,
( ~ spl8
| ~ spl3
| def82
| def77 ),
inference(resolution,[status(thm)],[p30246,c354]) ).
cnf(p30252,plain,
( ~ spl8
| ~ spl3
| def80
| def77 ),
inference(resolution,[status(thm)],[p30249,c348]) ).
cnf(ssp521,plain,
( spl253
| spl247
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30252,sdef247,sdef253]) ).
cnf(p30253,plain,
( ~ spl8
| ~ spl3
| def81
| def77 ),
inference(resolution,[status(thm)],[p30249,c349]) ).
cnf(ssp522,plain,
( spl255
| spl247
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30253,sdef247,sdef255]) ).
cnf(p30250,plain,
( ~ spl8
| ~ spl3
| def83
| def77 ),
inference(resolution,[status(thm)],[p30246,c355]) ).
cnf(p30254,plain,
( ~ spl8
| ~ spl3
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p30250,c351]) ).
cnf(ssp523,plain,
( spl247
| spl154
| spl59
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30254,sdef59,sdef154,sdef247]) ).
cnf(p30265,plain,
( ~ spl47
| ~ spl25
| ~ spl23
| op(e2,e2) = e3
| def77 ),
inference(superposition,[status(thm)],[p10961,p59]) ).
cnf(ssp524,plain,
( spl247
| spl43
| ~ spl47
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30265,sdef43,sdef247]) ).
cnf(p4867,plain,
( ~ spl28
| op(e0,e3) != e0 ),
inference(superposition,[status(thm)],[p36,c66]) ).
cnf(p30274,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e0,e2) != e0
| def77 ),
inference(superposition,[status(thm)],[p10961,p4867]) ).
cnf(ssp525,plain,
( spl247
| spl79
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30274,sdef79,sdef247]) ).
cnf(p30275,plain,
( ~ spl28
| ~ spl3
| def93 ),
inference(resolution,[status(thm)],[p4867,p29053]) ).
cnf(p30276,plain,
( ~ spl28
| ~ spl3
| def92
| def77 ),
inference(resolution,[status(thm)],[p30275,c381]) ).
cnf(p30278,plain,
( ~ spl28
| ~ spl3
| def91
| def77 ),
inference(resolution,[status(thm)],[p30276,c379]) ).
cnf(p30280,plain,
( ~ spl28
| ~ spl3
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p30278,c375]) ).
cnf(ssp526,plain,
( spl247
| spl173
| spl62
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30280,sdef62,sdef173,sdef247]) ).
cnf(p30277,plain,
( ~ spl28
| ~ spl3
| def90
| def77 ),
inference(resolution,[status(thm)],[p30276,c378]) ).
cnf(p30279,plain,
( ~ spl28
| ~ spl3
| def88
| def77 ),
inference(resolution,[status(thm)],[p30277,c372]) ).
cnf(p30282,plain,
( ~ spl28
| ~ spl3
| def87
| def77 ),
inference(resolution,[status(thm)],[p30279,c367]) ).
cnf(p30286,plain,
( ~ spl28
| ~ spl3
| op(e1,e1) = e2
| op(e1,e2) != e1
| def77 ),
inference(resolution,[status(thm)],[p30282,c363]) ).
cnf(ssp527,plain,
( spl247
| spl111
| spl22
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30286,sdef22,sdef111,sdef247]) ).
cnf(p30281,plain,
( ~ spl28
| ~ spl3
| def86
| def77 ),
inference(resolution,[status(thm)],[p30279,c366]) ).
cnf(p30283,plain,
( ~ spl28
| ~ spl3
| def84
| def77 ),
inference(resolution,[status(thm)],[p30281,c360]) ).
cnf(p30287,plain,
( ~ spl28
| ~ spl3
| def82
| def77 ),
inference(resolution,[status(thm)],[p30283,c354]) ).
cnf(p30290,plain,
( ~ spl28
| ~ spl3
| def80
| def77 ),
inference(resolution,[status(thm)],[p30287,c348]) ).
cnf(ssp528,plain,
( spl253
| spl247
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30290,sdef247,sdef253]) ).
cnf(p30291,plain,
( ~ spl28
| ~ spl3
| def81
| def77 ),
inference(resolution,[status(thm)],[p30287,c349]) ).
cnf(ssp529,plain,
( spl255
| spl247
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30291,sdef247,sdef255]) ).
cnf(p30288,plain,
( ~ spl28
| ~ spl3
| def83
| def77 ),
inference(resolution,[status(thm)],[p30283,c355]) ).
cnf(p30293,plain,
( ~ spl28
| ~ spl3
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p30288,c351]) ).
cnf(ssp530,plain,
( spl247
| spl154
| spl59
| ~ spl28
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30293,sdef59,sdef154,sdef247]) ).
cnf(p4879,plain,
( ~ spl47
| op(e2,e0) != e3 ),
inference(superposition,[status(thm)],[p59,c86]) ).
cnf(p30296,plain,
( ~ spl47
| ~ spl25
| ~ spl23
| op(e2,e0) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p4879]) ).
cnf(ssp531,plain,
( spl247
| spl129
| ~ spl47
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30296,sdef129,sdef247]) ).
cnf(p4880,plain,
( ~ spl47
| op(e2,e1) != e3 ),
inference(superposition,[status(thm)],[p59,c88]) ).
cnf(p30297,plain,
( ~ spl47
| ~ spl25
| ~ spl23
| op(e2,e1) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p4880]) ).
cnf(ssp532,plain,
( spl247
| spl136
| ~ spl47
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30297,sdef136,sdef247]) ).
cnf(c89,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4881,plain,
( ~ spl47
| op(e2,e2) != e3 ),
inference(superposition,[status(thm)],[p59,c89]) ).
cnf(p30298,plain,
( ~ spl47
| ~ spl25
| ~ spl23
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p10961,p4881]) ).
cnf(ssp533,plain,
( spl247
| spl143
| ~ spl47
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30298,sdef143,sdef247]) ).
cnf(p3422,plain,
( ~ spl18
| e3 != e2
| def94 ),
inference(superposition,[status(thm)],[c385,p3156]) ).
cnf(p30303,plain,
( ~ spl25
| ~ spl23
| ~ spl18
| def94
| def77 ),
inference(resolution,[status(thm)],[p10961,p3422]) ).
cnf(p30321,plain,
( ~ spl25
| ~ spl23
| ~ spl18
| op(e0,e3) = e0
| op(e0,e0) != e3
| def77 ),
inference(resolution,[status(thm)],[p30303,c384]) ).
cnf(ssp534,plain,
( spl247
| spl89
| spl12
| ~ spl25
| ~ spl23
| ~ spl18 ),
inference(avatar_split_clause,[status(thm)],[p30321,sdef12,sdef89,sdef247]) ).
cnf(p29468,plain,
( ~ spl88
| ~ spl3
| def85
| def77 ),
inference(resolution,[status(thm)],[p29398,c361]) ).
cnf(p29518,plain,
( ~ spl88
| ~ spl3
| e3 = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p29468,c357]) ).
cnf(p30237,plain,
( ~ spl88
| ~ spl8
| ~ spl3
| e3 = e2
| def77 ),
inference(resolution,[status(thm)],[p11,p29518]) ).
cnf(p30349,plain,
( ~ spl88
| ~ spl28
| ~ spl8
| ~ spl3
| op(e1,e2) = e0
| def77 ),
inference(superposition,[status(thm)],[p30237,p36]) ).
cnf(ssp535,plain,
( spl247
| spl24
| ~ spl88
| ~ spl28
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30349,sdef24,sdef247]) ).
cnf(p30351,plain,
( ~ spl88
| ~ spl47
| ~ spl8
| ~ spl3
| op(e2,e2) = e3
| def77 ),
inference(superposition,[status(thm)],[p30237,p59]) ).
cnf(ssp536,plain,
( spl247
| spl43
| ~ spl88
| ~ spl47
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30351,sdef43,sdef247]) ).
cnf(p30352,plain,
( ~ spl88
| ~ spl48
| ~ spl8
| ~ spl3
| op(e2,e0) = e0
| def77 ),
inference(superposition,[status(thm)],[p30237,p61]) ).
cnf(ssp537,plain,
( spl247
| spl32
| ~ spl88
| ~ spl48
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30352,sdef32,sdef247]) ).
cnf(p30353,plain,
( ~ spl88
| ~ spl54
| ~ spl8
| ~ spl3
| op(e2,e1) = e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p68]) ).
cnf(ssp538,plain,
( spl247
| spl38
| ~ spl88
| ~ spl54
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30353,sdef38,sdef247]) ).
cnf(p30354,plain,
( ~ spl88
| ~ spl59
| ~ spl8
| ~ spl3
| op(e2,e2) = e3
| def77 ),
inference(superposition,[status(thm)],[p30237,p74]) ).
cnf(ssp539,plain,
( spl247
| spl43
| ~ spl88
| ~ spl59
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30354,sdef43,sdef247]) ).
cnf(p30355,plain,
( ~ spl88
| ~ spl61
| ~ spl8
| ~ spl3
| op(e2,e3) = e1
| def77 ),
inference(superposition,[status(thm)],[p30237,p77]) ).
cnf(ssp540,plain,
( spl247
| spl45
| ~ spl88
| ~ spl61
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30355,sdef45,sdef247]) ).
cnf(p30356,plain,
( ~ spl88
| ~ spl61
| ~ spl8
| ~ spl3
| op(e3,e2) = e1
| def77 ),
inference(superposition,[status(thm)],[p30237,p77]) ).
cnf(ssp541,plain,
( spl247
| spl57
| ~ spl88
| ~ spl61
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30356,sdef57,sdef247]) ).
cnf(p30387,plain,
( ~ spl120
| ~ spl88
| ~ spl8
| ~ spl3
| op(e1,e2) != e1
| def77 ),
inference(superposition,[status(thm)],[p30237,p284]) ).
cnf(ssp542,plain,
( spl247
| spl111
| ~ spl120
| ~ spl88
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30387,sdef111,sdef247]) ).
cnf(p30390,plain,
( ~ spl150
| ~ spl88
| ~ spl8
| ~ spl3
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p350]) ).
cnf(ssp543,plain,
( spl247
| spl143
| ~ spl150
| ~ spl88
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30390,sdef143,sdef247]) ).
cnf(p30391,plain,
( ~ spl151
| ~ spl88
| ~ spl8
| ~ spl3
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p352]) ).
cnf(ssp544,plain,
( spl247
| spl143
| ~ spl151
| ~ spl88
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30391,sdef143,sdef247]) ).
cnf(p30392,plain,
( ~ spl154
| ~ spl88
| ~ spl8
| ~ spl3
| op(e2,e3) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p358]) ).
cnf(ssp545,plain,
( spl247
| spl150
| ~ spl154
| ~ spl88
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30392,sdef150,sdef247]) ).
cnf(p30399,plain,
( ~ spl180
| ~ spl88
| ~ spl8
| ~ spl3
| op(e3,e2) != e3
| def77 ),
inference(superposition,[status(thm)],[p30237,p416]) ).
cnf(ssp546,plain,
( spl247
| spl173
| ~ spl180
| ~ spl88
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30399,sdef173,sdef247]) ).
cnf(p30400,plain,
( ~ spl180
| ~ spl88
| ~ spl8
| ~ spl3
| op(e3,e3) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p416]) ).
cnf(ssp547,plain,
( spl247
| spl154
| ~ spl180
| ~ spl88
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30400,sdef154,sdef247]) ).
cnf(p30466,plain,
( ~ spl88
| ~ spl47
| ~ spl8
| ~ spl3
| op(e2,e0) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p4879]) ).
cnf(ssp548,plain,
( spl247
| spl129
| ~ spl88
| ~ spl47
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30466,sdef129,sdef247]) ).
cnf(p30467,plain,
( ~ spl88
| ~ spl47
| ~ spl8
| ~ spl3
| op(e2,e1) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p4880]) ).
cnf(ssp549,plain,
( spl247
| spl136
| ~ spl88
| ~ spl47
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30467,sdef136,sdef247]) ).
cnf(p30468,plain,
( ~ spl88
| ~ spl47
| ~ spl8
| ~ spl3
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p4881]) ).
cnf(ssp550,plain,
( spl247
| spl143
| ~ spl88
| ~ spl47
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30468,sdef143,sdef247]) ).
cnf(p30483,plain,
( ~ spl88
| ~ spl61
| ~ spl8
| ~ spl3
| op(e1,e2) != e1
| def77 ),
inference(superposition,[status(thm)],[p30237,p2642]) ).
cnf(ssp551,plain,
( spl247
| spl111
| ~ spl88
| ~ spl61
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30483,sdef111,sdef247]) ).
cnf(p30484,plain,
( ~ spl88
| ~ spl61
| ~ spl8
| ~ spl3
| op(e2,e2) != e1
| def77 ),
inference(superposition,[status(thm)],[p30237,p3017]) ).
cnf(ssp552,plain,
( spl247
| spl115
| ~ spl88
| ~ spl61
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30484,sdef115,sdef247]) ).
cnf(c90,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7420,plain,
( ~ spl54
| op(e3,e0) != e2 ),
inference(superposition,[status(thm)],[p68,c90]) ).
cnf(p30488,plain,
( ~ spl88
| ~ spl54
| ~ spl8
| ~ spl3
| op(e2,e0) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p7420]) ).
cnf(ssp553,plain,
( spl247
| spl129
| ~ spl88
| ~ spl54
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30488,sdef129,sdef247]) ).
cnf(p30498,plain,
( ~ spl88
| ~ spl59
| ~ spl8
| ~ spl3
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p30237,p2448]) ).
cnf(ssp554,plain,
( spl247
| spl143
| ~ spl88
| ~ spl59
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30498,sdef143,sdef247]) ).
cnf(p3283,plain,
( ~ spl112
| e3 != e2
| def95 ),
inference(superposition,[status(thm)],[c388,p268]) ).
cnf(p30426,plain,
( ~ spl112
| ~ spl88
| ~ spl8
| ~ spl3
| def95
| def77 ),
inference(resolution,[status(thm)],[p30237,p3283]) ).
cnf(p30529,plain,
( ~ spl112
| ~ spl88
| ~ spl8
| ~ spl3
| op(e1,e3) = e1
| op(e1,e1) != e3
| def77 ),
inference(resolution,[status(thm)],[p30426,c387]) ).
cnf(ssp555,plain,
( spl247
| spl121
| spl29
| ~ spl112
| ~ spl88
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30529,sdef29,sdef121,sdef247]) ).
cnf(p3278,plain,
( e3 != op(e3,e1)
| def95 ),
inference(superposition,[status(thm)],[c388,c58]) ).
cnf(p7426,plain,
( ~ spl54
| e3 != e2
| def95 ),
inference(superposition,[status(thm)],[p68,p3278]) ).
cnf(p30491,plain,
( ~ spl88
| ~ spl54
| ~ spl8
| ~ spl3
| def95
| def77 ),
inference(resolution,[status(thm)],[p30237,p7426]) ).
cnf(p30530,plain,
( ~ spl88
| ~ spl54
| ~ spl8
| ~ spl3
| op(e1,e3) = e1
| op(e1,e1) != e3
| def77 ),
inference(resolution,[status(thm)],[p30491,c387]) ).
cnf(ssp556,plain,
( spl247
| spl121
| spl29
| ~ spl88
| ~ spl54
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30530,sdef29,sdef121,sdef247]) ).
cnf(p14880,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| e1 = e0
| def77 ),
inference(superposition,[status(thm)],[p10961,p36]) ).
cnf(p30531,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| ~ spl5
| op(e0,e0) = e1
| def77 ),
inference(superposition,[status(thm)],[p14880,p7]) ).
cnf(ssp557,plain,
( spl247
| spl1
| ~ spl28
| ~ spl25
| ~ spl23
| ~ spl5 ),
inference(avatar_split_clause,[status(thm)],[p30531,sdef1,sdef247]) ).
cnf(p30532,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| ~ spl18
| op(e0,e0) = e2
| def77 ),
inference(superposition,[status(thm)],[p14880,p23]) ).
cnf(ssp558,plain,
( spl247
| spl2
| ~ spl28
| ~ spl25
| ~ spl23
| ~ spl18 ),
inference(avatar_split_clause,[status(thm)],[p30532,sdef2,sdef247]) ).
cnf(p30533,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e0,e1) = e3
| def77 ),
inference(superposition,[status(thm)],[p14880,p29]) ).
cnf(ssp559,plain,
( spl247
| spl7
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30533,sdef7,sdef247]) ).
cnf(p30534,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e1,e0) = e3
| def77 ),
inference(superposition,[status(thm)],[p14880,p29]) ).
cnf(ssp560,plain,
( spl247
| spl19
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30534,sdef19,sdef247]) ).
cnf(p30535,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e0,e2) = e1
| def77 ),
inference(superposition,[status(thm)],[p14880,p32]) ).
cnf(ssp561,plain,
( spl247
| spl9
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30535,sdef9,sdef247]) ).
cnf(p30536,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e0,e3) = e0
| def77 ),
inference(superposition,[status(thm)],[p14880,p36]) ).
cnf(ssp562,plain,
( spl247
| spl12
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30536,sdef12,sdef247]) ).
cnf(p30537,plain,
( ~ spl36
| ~ spl28
| ~ spl25
| ~ spl23
| op(e2,e0) = e0
| def77 ),
inference(superposition,[status(thm)],[p14880,p46]) ).
cnf(ssp563,plain,
( spl247
| spl32
| ~ spl36
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30537,sdef32,sdef247]) ).
cnf(p30540,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e0,e0) != e3
| def77 ),
inference(superposition,[status(thm)],[p14880,c54]) ).
cnf(ssp564,plain,
( spl247
| spl89
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30540,sdef89,sdef247]) ).
cnf(p30555,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e0,e0) != e1
| def77 ),
inference(superposition,[status(thm)],[p14880,c79]) ).
cnf(ssp565,plain,
( spl247
| spl71
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30555,sdef71,sdef247]) ).
cnf(p30557,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e0,e0) != e0
| def77 ),
inference(superposition,[status(thm)],[p14880,c80]) ).
cnf(ssp566,plain,
( spl247
| spl65
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30557,sdef65,sdef247]) ).
cnf(c82,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p30561,plain,
( ~ spl28
| ~ spl25
| ~ spl23
| op(e0,e1) != e0
| def77 ),
inference(superposition,[status(thm)],[p14880,c82]) ).
cnf(ssp567,plain,
( spl247
| spl70
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30561,sdef70,sdef247]) ).
cnf(p30566,plain,
( ~ spl115
| ~ spl28
| ~ spl25
| ~ spl23
| op(e2,e2) != e0
| def77 ),
inference(superposition,[status(thm)],[p14880,p274]) ).
cnf(ssp568,plain,
( spl247
| spl83
| ~ spl115
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30566,sdef83,sdef247]) ).
cnf(p30567,plain,
( ~ spl136
| ~ spl28
| ~ spl25
| ~ spl23
| op(e2,e0) != e2
| def77 ),
inference(superposition,[status(thm)],[p14880,p318]) ).
cnf(ssp569,plain,
( spl247
| spl129
| ~ spl136
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30567,sdef129,sdef247]) ).
cnf(p30568,plain,
( ~ spl166
| ~ spl28
| ~ spl25
| ~ spl23
| op(e3,e0) != e3
| def77 ),
inference(superposition,[status(thm)],[p14880,p384]) ).
cnf(ssp570,plain,
( spl247
| spl159
| ~ spl166
| ~ spl28
| ~ spl25
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30568,sdef159,sdef247]) ).
cnf(p8187,plain,
( ~ spl61
| ~ spl23
| def91
| def77 ),
inference(resolution,[status(thm)],[p7697,c379]) ).
cnf(p8240,plain,
( ~ spl61
| ~ spl23
| e1 = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p8187,c375]) ).
cnf(p30262,plain,
( ~ spl61
| ~ spl59
| ~ spl23
| e1 = e2
| def77 ),
inference(resolution,[status(thm)],[p74,p8240]) ).
cnf(p30601,plain,
( ~ spl61
| ~ spl59
| ~ spl23
| ~ spl8
| op(e0,e1) = e0
| def77 ),
inference(superposition,[status(thm)],[p30262,p11]) ).
cnf(ssp571,plain,
( spl247
| spl4
| ~ spl61
| ~ spl59
| ~ spl23
| ~ spl8 ),
inference(avatar_split_clause,[status(thm)],[p30601,sdef4,sdef247]) ).
cnf(p30604,plain,
( ~ spl61
| ~ spl59
| ~ spl33
| ~ spl23
| op(e1,e0) = e1
| def77 ),
inference(superposition,[status(thm)],[p30262,p42]) ).
cnf(ssp572,plain,
( spl247
| spl17
| ~ spl61
| ~ spl59
| ~ spl33
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30604,sdef17,sdef247]) ).
cnf(p30247,plain,
( ~ spl8
| ~ spl3
| def85
| def77 ),
inference(resolution,[status(thm)],[p30244,c361]) ).
cnf(p30251,plain,
( ~ spl8
| ~ spl3
| e3 = e2
| e0 != e0
| def77 ),
inference(resolution,[status(thm)],[p30247,c357]) ).
cnf(p30527,plain,
( ~ spl8
| ~ spl3
| e3 = e2
| def77 ),
inference(equality_resolution,[status(thm)],[p30251]) ).
cnf(p30617,plain,
( ~ spl30
| ~ spl8
| ~ spl3
| op(e1,e2) = e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p38]) ).
cnf(ssp573,plain,
( spl247
| spl26
| ~ spl30
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30617,sdef26,sdef247]) ).
cnf(p30619,plain,
( ~ spl47
| ~ spl8
| ~ spl3
| op(e2,e2) = e3
| def77 ),
inference(superposition,[status(thm)],[p30527,p59]) ).
cnf(ssp574,plain,
( spl247
| spl43
| ~ spl47
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30619,sdef43,sdef247]) ).
cnf(p30620,plain,
( ~ spl50
| ~ spl8
| ~ spl3
| op(e2,e0) = e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p63]) ).
cnf(ssp575,plain,
( spl247
| spl34
| ~ spl50
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30620,sdef34,sdef247]) ).
cnf(p30621,plain,
( ~ spl53
| ~ spl8
| ~ spl3
| op(e2,e1) = e1
| def77 ),
inference(superposition,[status(thm)],[p30527,p67]) ).
cnf(ssp576,plain,
( spl247
| spl37
| ~ spl53
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30621,sdef37,sdef247]) ).
cnf(p30622,plain,
( ~ spl59
| ~ spl8
| ~ spl3
| op(e2,e2) = e3
| def77 ),
inference(superposition,[status(thm)],[p30527,p74]) ).
cnf(ssp577,plain,
( spl247
| spl43
| ~ spl59
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30622,sdef43,sdef247]) ).
cnf(p30623,plain,
( ~ spl60
| ~ spl8
| ~ spl3
| op(e2,e3) = e0
| def77 ),
inference(superposition,[status(thm)],[p30527,p76]) ).
cnf(ssp578,plain,
( spl247
| spl44
| ~ spl60
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30623,sdef44,sdef247]) ).
cnf(p30624,plain,
( ~ spl60
| ~ spl8
| ~ spl3
| op(e3,e2) = e0
| def77 ),
inference(superposition,[status(thm)],[p30527,p76]) ).
cnf(ssp579,plain,
( spl247
| spl56
| ~ spl60
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30624,sdef56,sdef247]) ).
cnf(p30653,plain,
( ~ spl120
| ~ spl8
| ~ spl3
| op(e1,e2) != e1
| def77 ),
inference(superposition,[status(thm)],[p30527,p284]) ).
cnf(ssp580,plain,
( spl247
| spl111
| ~ spl120
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30653,sdef111,sdef247]) ).
cnf(p30658,plain,
( ~ spl150
| ~ spl8
| ~ spl3
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p350]) ).
cnf(ssp581,plain,
( spl247
| spl143
| ~ spl150
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30658,sdef143,sdef247]) ).
cnf(p30659,plain,
( ~ spl151
| ~ spl8
| ~ spl3
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p352]) ).
cnf(ssp582,plain,
( spl247
| spl143
| ~ spl151
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30659,sdef143,sdef247]) ).
cnf(p30660,plain,
( ~ spl154
| ~ spl8
| ~ spl3
| op(e2,e3) != e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p358]) ).
cnf(ssp583,plain,
( spl247
| spl150
| ~ spl154
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30660,sdef150,sdef247]) ).
cnf(p30667,plain,
( ~ spl180
| ~ spl8
| ~ spl3
| op(e3,e2) != e3
| def77 ),
inference(superposition,[status(thm)],[p30527,p416]) ).
cnf(ssp584,plain,
( spl247
| spl173
| ~ spl180
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30667,sdef173,sdef247]) ).
cnf(p30668,plain,
( ~ spl180
| ~ spl8
| ~ spl3
| op(e3,e3) != e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p416]) ).
cnf(ssp585,plain,
( spl247
| spl154
| ~ spl180
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30668,sdef154,sdef247]) ).
cnf(p30740,plain,
( ~ spl47
| ~ spl8
| ~ spl3
| op(e2,e0) != e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p4879]) ).
cnf(ssp586,plain,
( spl247
| spl129
| ~ spl47
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30740,sdef129,sdef247]) ).
cnf(p30741,plain,
( ~ spl47
| ~ spl8
| ~ spl3
| op(e2,e1) != e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p4880]) ).
cnf(ssp587,plain,
( spl247
| spl136
| ~ spl47
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30741,sdef136,sdef247]) ).
cnf(p30742,plain,
( ~ spl47
| ~ spl8
| ~ spl3
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p4881]) ).
cnf(ssp588,plain,
( spl247
| spl143
| ~ spl47
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30742,sdef143,sdef247]) ).
cnf(p30758,plain,
( ~ spl59
| ~ spl8
| ~ spl3
| op(e2,e2) != e2
| def77 ),
inference(superposition,[status(thm)],[p30527,p2448]) ).
cnf(ssp589,plain,
( spl247
| spl143
| ~ spl59
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30758,sdef143,sdef247]) ).
cnf(p2674,plain,
( ~ spl60
| op(e2,e3) != e0 ),
inference(superposition,[status(thm)],[p76,c71]) ).
cnf(p30763,plain,
( ~ spl60
| ~ spl8
| ~ spl3
| op(e2,e2) != e0
| def77 ),
inference(superposition,[status(thm)],[p30527,p2674]) ).
cnf(ssp590,plain,
( spl247
| spl83
| ~ spl60
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30763,sdef83,sdef247]) ).
cnf(p30700,plain,
( ~ spl112
| ~ spl8
| ~ spl3
| def95
| def77 ),
inference(resolution,[status(thm)],[p30527,p3283]) ).
cnf(p30918,plain,
( ~ spl112
| ~ spl8
| ~ spl3
| op(e1,e3) = e1
| op(e1,e1) != e3
| def77 ),
inference(resolution,[status(thm)],[p30700,c387]) ).
cnf(ssp591,plain,
( spl247
| spl121
| spl29
| ~ spl112
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30918,sdef29,sdef121,sdef247]) ).
cnf(p7685,plain,
( ~ spl23
| op(e0,e3) != e1
| def93 ),
inference(superposition,[status(thm)],[p7152,c66]) ).
cnf(p30610,plain,
( ~ spl23
| ~ spl13
| def93 ),
inference(resolution,[status(thm)],[p7685,p17]) ).
cnf(p30611,plain,
( ~ spl23
| ~ spl13
| def92
| def77 ),
inference(resolution,[status(thm)],[p30610,c381]) ).
cnf(p30915,plain,
( ~ spl23
| ~ spl13
| def91
| def77 ),
inference(resolution,[status(thm)],[p30611,c379]) ).
cnf(p30926,plain,
( ~ spl23
| ~ spl13
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p30915,c375]) ).
cnf(ssp592,plain,
( spl247
| spl173
| spl62
| ~ spl23
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p30926,sdef62,sdef173,sdef247]) ).
cnf(p14053,plain,
( ~ spl30
| ~ spl23
| e1 = e2
| def93 ),
inference(superposition,[status(thm)],[p7152,p38]) ).
cnf(p30908,plain,
( ~ spl30
| ~ spl23
| def93 ),
inference(resolution,[status(thm)],[p14053,c99]) ).
cnf(p30909,plain,
( ~ spl30
| ~ spl23
| def92
| def77 ),
inference(resolution,[status(thm)],[p30908,c381]) ).
cnf(p30923,plain,
( ~ spl30
| ~ spl23
| def91
| def77 ),
inference(resolution,[status(thm)],[p30909,c379]) ).
cnf(p30928,plain,
( ~ spl30
| ~ spl23
| op(e3,e3) = e2
| op(e3,e2) != e3
| def77 ),
inference(resolution,[status(thm)],[p30923,c375]) ).
cnf(ssp593,plain,
( spl247
| spl173
| spl62
| ~ spl30
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30928,sdef62,sdef173,sdef247]) ).
cnf(p30914,plain,
( ~ spl23
| ~ spl13
| def90
| def77 ),
inference(resolution,[status(thm)],[p30611,c378]) ).
cnf(p30925,plain,
( ~ spl23
| ~ spl13
| def88
| def77 ),
inference(resolution,[status(thm)],[p30914,c372]) ).
cnf(p30929,plain,
( ~ spl23
| ~ spl13
| def86
| def77 ),
inference(resolution,[status(thm)],[p30925,c366]) ).
cnf(p30932,plain,
( ~ spl23
| ~ spl13
| def85
| def77 ),
inference(resolution,[status(thm)],[p30929,c361]) ).
cnf(p30937,plain,
( ~ spl23
| ~ spl13
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p30932,c357]) ).
cnf(ssp594,plain,
( spl247
| spl79
| spl2
| ~ spl23
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p30937,sdef2,sdef79,sdef247]) ).
cnf(p30922,plain,
( ~ spl30
| ~ spl23
| def90
| def77 ),
inference(resolution,[status(thm)],[p30909,c378]) ).
cnf(p30927,plain,
( ~ spl30
| ~ spl23
| def88
| def77 ),
inference(resolution,[status(thm)],[p30922,c372]) ).
cnf(p30930,plain,
( ~ spl30
| ~ spl23
| def86
| def77 ),
inference(resolution,[status(thm)],[p30927,c366]) ).
cnf(p30934,plain,
( ~ spl30
| ~ spl23
| def85
| def77 ),
inference(resolution,[status(thm)],[p30930,c361]) ).
cnf(p30939,plain,
( ~ spl30
| ~ spl23
| op(e0,e0) = e2
| op(e0,e2) != e0
| def77 ),
inference(resolution,[status(thm)],[p30934,c357]) ).
cnf(ssp595,plain,
( spl247
| spl79
| spl2
| ~ spl30
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30939,sdef2,sdef79,sdef247]) ).
cnf(p30931,plain,
( ~ spl23
| ~ spl13
| def84
| def77 ),
inference(resolution,[status(thm)],[p30929,c360]) ).
cnf(p30935,plain,
( ~ spl23
| ~ spl13
| def82
| def77 ),
inference(resolution,[status(thm)],[p30931,c354]) ).
cnf(p30940,plain,
( ~ spl23
| ~ spl13
| def80
| def77 ),
inference(resolution,[status(thm)],[p30935,c348]) ).
cnf(ssp596,plain,
( spl253
| spl247
| ~ spl23
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p30940,sdef247,sdef253]) ).
cnf(p30941,plain,
( ~ spl23
| ~ spl13
| def81
| def77 ),
inference(resolution,[status(thm)],[p30935,c349]) ).
cnf(ssp597,plain,
( spl255
| spl247
| ~ spl23
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p30941,sdef247,sdef255]) ).
cnf(p30936,plain,
( ~ spl23
| ~ spl13
| def83
| def77 ),
inference(resolution,[status(thm)],[p30931,c355]) ).
cnf(p30942,plain,
( ~ spl23
| ~ spl13
| op(e3,e2) = e3
| op(e3,e3) != e2
| def77 ),
inference(resolution,[status(thm)],[p30936,c351]) ).
cnf(ssp598,plain,
( spl247
| spl154
| spl59
| ~ spl23
| ~ spl13 ),
inference(avatar_split_clause,[status(thm)],[p30942,sdef59,sdef154,sdef247]) ).
cnf(p30933,plain,
( ~ spl30
| ~ spl23
| def84
| def77 ),
inference(resolution,[status(thm)],[p30930,c360]) ).
cnf(p30938,plain,
( ~ spl30
| ~ spl23
| def82
| def77 ),
inference(resolution,[status(thm)],[p30933,c354]) ).
cnf(p30943,plain,
( ~ spl30
| ~ spl23
| def80
| def77 ),
inference(resolution,[status(thm)],[p30938,c348]) ).
cnf(ssp599,plain,
( spl253
| spl247
| ~ spl30
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30943,sdef247,sdef253]) ).
cnf(p30944,plain,
( ~ spl30
| ~ spl23
| def81
| def77 ),
inference(resolution,[status(thm)],[p30938,c349]) ).
cnf(ssp600,plain,
( spl255
| spl247
| ~ spl30
| ~ spl23 ),
inference(avatar_split_clause,[status(thm)],[p30944,sdef247,sdef255]) ).
cnf(p30616,plain,
( ~ spl13
| ~ spl8
| ~ spl3
| e0 = e1
| def77 ),
inference(superposition,[status(thm)],[p30527,p17]) ).
cnf(p30952,plain,
( ~ spl23
| ~ spl13
| ~ spl8
| ~ spl3
| op(e0,e1) = e3
| def77 ),
inference(superposition,[status(thm)],[p30616,p29]) ).
cnf(ssp601,plain,
( spl247
| spl7
| ~ spl23
| ~ spl13
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30952,sdef7,sdef247]) ).
cnf(p30953,plain,
( ~ spl23
| ~ spl13
| ~ spl8
| ~ spl3
| op(e1,e0) = e3
| def77 ),
inference(superposition,[status(thm)],[p30616,p29]) ).
cnf(ssp602,plain,
( spl247
| spl19
| ~ spl23
| ~ spl13
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30953,sdef19,sdef247]) ).
cnf(p30955,plain,
( ~ spl36
| ~ spl13
| ~ spl8
| ~ spl3
| op(e2,e0) = e0
| def77 ),
inference(superposition,[status(thm)],[p30616,p46]) ).
cnf(ssp603,plain,
( spl247
| spl32
| ~ spl36
| ~ spl13
| ~ spl8
| ~ spl3 ),
inference(avatar_split_clause,[status(thm)],[p30955,sdef32,sdef247]) ).
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,ssp422,ssp423,ssp424,ssp425,ssp426,ssp427,ssp428,ssp429,ssp430,ssp431,ssp432,ssp433,ssp434,ssp435,ssp436,ssp437,ssp438,ssp439,ssp440,ssp441,ssp442,ssp443,ssp444,ssp445,ssp446,ssp447,ssp448,ssp449,ssp450,ssp451,ssp452,ssp453,ssp454,ssp455,ssp456,ssp457,ssp458,ssp459,ssp460,ssp461,ssp462,ssp463,ssp464,ssp465,ssp466,ssp467,ssp468,ssp469,ssp470,ssp471,ssp472,ssp473,ssp474,ssp475,ssp476,ssp477,ssp478,ssp479,ssp480,ssp481,ssp482,ssp483,ssp484,ssp485,ssp486,ssp487,ssp488,ssp489,ssp490,ssp491,ssp492,ssp493,ssp494,ssp495,ssp496,ssp497,ssp498,ssp499,ssp500,ssp501,ssp502,ssp503,ssp504,ssp505,ssp506,ssp507,ssp508,ssp509,ssp510,ssp511,ssp512,ssp513,ssp514,ssp515,ssp516,ssp517,ssp518,ssp519,ssp520,ssp521,ssp522,ssp523,ssp524,ssp525,ssp526,ssp527,ssp528,ssp529,ssp530,ssp531,ssp532,ssp533,ssp534,ssp535,ssp536,ssp537,ssp538,ssp539,ssp540,ssp541,ssp542,ssp543,ssp544,ssp545,ssp546,ssp547,ssp548,ssp549,ssp550,ssp551,ssp552,ssp553,ssp554,ssp555,ssp556,ssp557,ssp558,ssp559,ssp560,ssp561,ssp562,ssp563,ssp564,ssp565,ssp566,ssp567,ssp568,ssp569,ssp570,ssp571,ssp572,ssp573,ssp574,ssp575,ssp576,ssp577,ssp578,ssp579,ssp580,ssp581,ssp582,ssp583,ssp584,ssp585,ssp586,ssp587,ssp588,ssp589,ssp590,ssp591,ssp592,ssp593,ssp594,ssp595,ssp596,ssp597,ssp598,ssp599,ssp600,ssp601,ssp602,ssp603,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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG161+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 04:59:04 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 96.93/31.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 96.93/31.50 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------