%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG146+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:51:44 PM UTC 2026
% Result : Unsatisfiable 41.38s 5.85s
% Output : Proof 41.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 273
% Syntax : Number of formulae : 1780 ( 14 unt; 256 def)
% Number of atoms : 5360 (1915 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6110 (2530 ~;2859 |; 465 &)
% ( 256 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 341 ( 339 usr; 340 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(p170,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(p629,plain,
( ~ spl66
| ~ spl64
| $false ),
inference(resolution,[status(thm)],[p170,p167]) ).
cnf(sct0,plain,
( ~ spl66
| ~ spl64 ),
inference(avatar_contradiction_clause,[status(thm)],[p629]) ).
fof(sdef69,definition,
( spl69
<=> def1 ),
introduced(definition,[new_symbols(naming,[spl69])],[avatar_definition]) ).
cnf(p176,plain,
( ~ spl69
| def1 ),
inference(avatar_component_clause,[status(thm)],[sdef69]) ).
fof(sdef68,definition,
( spl68
<=> ~ def1 ),
introduced(definition,[new_symbols(naming,[spl68])],[avatar_definition]) ).
cnf(p174,plain,
( ~ spl68
| ~ def1 ),
inference(avatar_component_clause,[status(thm)],[sdef68]) ).
cnf(p630,plain,
( ~ spl69
| ~ spl68
| $false ),
inference(resolution,[status(thm)],[p176,p174]) ).
cnf(sct1,plain,
( ~ spl69
| ~ spl68 ),
inference(avatar_contradiction_clause,[status(thm)],[p630]) ).
fof(sdef72,definition,
( spl72
<=> def2 ),
introduced(definition,[new_symbols(naming,[spl72])],[avatar_definition]) ).
cnf(p182,plain,
( ~ spl72
| def2 ),
inference(avatar_component_clause,[status(thm)],[sdef72]) ).
fof(sdef71,definition,
( spl71
<=> ~ def2 ),
introduced(definition,[new_symbols(naming,[spl71])],[avatar_definition]) ).
cnf(p180,plain,
( ~ spl71
| ~ def2 ),
inference(avatar_component_clause,[status(thm)],[sdef71]) ).
cnf(p631,plain,
( ~ spl72
| ~ spl71
| $false ),
inference(resolution,[status(thm)],[p182,p180]) ).
cnf(sct2,plain,
( ~ spl72
| ~ spl71 ),
inference(avatar_contradiction_clause,[status(thm)],[p631]) ).
fof(sdef75,definition,
( spl75
<=> def3 ),
introduced(definition,[new_symbols(naming,[spl75])],[avatar_definition]) ).
cnf(p188,plain,
( ~ spl75
| def3 ),
inference(avatar_component_clause,[status(thm)],[sdef75]) ).
fof(sdef74,definition,
( spl74
<=> ~ def3 ),
introduced(definition,[new_symbols(naming,[spl74])],[avatar_definition]) ).
cnf(p186,plain,
( ~ spl74
| ~ def3 ),
inference(avatar_component_clause,[status(thm)],[sdef74]) ).
cnf(p632,plain,
( ~ spl75
| ~ spl74
| $false ),
inference(resolution,[status(thm)],[p188,p186]) ).
cnf(sct3,plain,
( ~ spl75
| ~ spl74 ),
inference(avatar_contradiction_clause,[status(thm)],[p632]) ).
fof(sdef77,definition,
( spl77
<=> def4 ),
introduced(definition,[new_symbols(naming,[spl77])],[avatar_definition]) ).
cnf(p194,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(p635,plain,
( ~ spl77
| ~ spl76
| $false ),
inference(resolution,[status(thm)],[p194,p191]) ).
cnf(sct4,plain,
( ~ spl77
| ~ spl76 ),
inference(avatar_contradiction_clause,[status(thm)],[p635]) ).
fof(sdef80,definition,
( spl80
<=> def5 ),
introduced(definition,[new_symbols(naming,[spl80])],[avatar_definition]) ).
cnf(p199,plain,
( ~ spl80
| def5 ),
inference(avatar_component_clause,[status(thm)],[sdef80]) ).
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(p636,plain,
( ~ spl80
| ~ spl78
| $false ),
inference(resolution,[status(thm)],[p199,p196]) ).
cnf(sct5,plain,
( ~ spl80
| ~ spl78 ),
inference(avatar_contradiction_clause,[status(thm)],[p636]) ).
fof(sdef83,definition,
( spl83
<=> def6 ),
introduced(definition,[new_symbols(naming,[spl83])],[avatar_definition]) ).
cnf(p206,plain,
( ~ spl83
| def6 ),
inference(avatar_component_clause,[status(thm)],[sdef83]) ).
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(p641,plain,
( ~ spl83
| ~ spl82
| $false ),
inference(resolution,[status(thm)],[p206,p203]) ).
cnf(sct6,plain,
( ~ spl83
| ~ spl82 ),
inference(avatar_contradiction_clause,[status(thm)],[p641]) ).
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(sdef84,definition,
( spl84
<=> ~ def7 ),
introduced(definition,[new_symbols(naming,[spl84])],[avatar_definition]) ).
cnf(p208,plain,
( ~ spl84
| ~ def7 ),
inference(avatar_component_clause,[status(thm)],[sdef84]) ).
cnf(p642,plain,
( ~ spl86
| ~ spl84
| $false ),
inference(resolution,[status(thm)],[p211,p208]) ).
cnf(sct7,plain,
( ~ spl86
| ~ spl84 ),
inference(avatar_contradiction_clause,[status(thm)],[p642]) ).
fof(sdef89,definition,
( spl89
<=> def8 ),
introduced(definition,[new_symbols(naming,[spl89])],[avatar_definition]) ).
cnf(p218,plain,
( ~ spl89
| def8 ),
inference(avatar_component_clause,[status(thm)],[sdef89]) ).
fof(sdef88,definition,
( spl88
<=> ~ def8 ),
introduced(definition,[new_symbols(naming,[spl88])],[avatar_definition]) ).
cnf(p215,plain,
( ~ spl88
| ~ def8 ),
inference(avatar_component_clause,[status(thm)],[sdef88]) ).
cnf(p649,plain,
( ~ spl89
| ~ spl88
| $false ),
inference(resolution,[status(thm)],[p218,p215]) ).
cnf(sct8,plain,
( ~ spl89
| ~ spl88 ),
inference(avatar_contradiction_clause,[status(thm)],[p649]) ).
fof(sdef92,definition,
( spl92
<=> def9 ),
introduced(definition,[new_symbols(naming,[spl92])],[avatar_definition]) ).
cnf(p223,plain,
( ~ spl92
| def9 ),
inference(avatar_component_clause,[status(thm)],[sdef92]) ).
fof(sdef90,definition,
( spl90
<=> ~ def9 ),
introduced(definition,[new_symbols(naming,[spl90])],[avatar_definition]) ).
cnf(p220,plain,
( ~ spl90
| ~ def9 ),
inference(avatar_component_clause,[status(thm)],[sdef90]) ).
cnf(p650,plain,
( ~ spl92
| ~ spl90
| $false ),
inference(resolution,[status(thm)],[p223,p220]) ).
cnf(sct9,plain,
( ~ spl92
| ~ spl90 ),
inference(avatar_contradiction_clause,[status(thm)],[p650]) ).
fof(sdef95,definition,
( spl95
<=> def10 ),
introduced(definition,[new_symbols(naming,[spl95])],[avatar_definition]) ).
cnf(p230,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(p651,plain,
( ~ spl95
| ~ spl94
| $false ),
inference(resolution,[status(thm)],[p230,p227]) ).
cnf(sct10,plain,
( ~ spl95
| ~ spl94 ),
inference(avatar_contradiction_clause,[status(thm)],[p651]) ).
fof(sdef98,definition,
( spl98
<=> def11 ),
introduced(definition,[new_symbols(naming,[spl98])],[avatar_definition]) ).
cnf(p235,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(p652,plain,
( ~ spl98
| ~ spl96
| $false ),
inference(resolution,[status(thm)],[p235,p232]) ).
cnf(sct11,plain,
( ~ spl98
| ~ spl96 ),
inference(avatar_contradiction_clause,[status(thm)],[p652]) ).
fof(sdef101,definition,
( spl101
<=> def12 ),
introduced(definition,[new_symbols(naming,[spl101])],[avatar_definition]) ).
cnf(p242,plain,
( ~ spl101
| def12 ),
inference(avatar_component_clause,[status(thm)],[sdef101]) ).
fof(sdef100,definition,
( spl100
<=> ~ def12 ),
introduced(definition,[new_symbols(naming,[spl100])],[avatar_definition]) ).
cnf(p239,plain,
( ~ spl100
| ~ def12 ),
inference(avatar_component_clause,[status(thm)],[sdef100]) ).
cnf(p655,plain,
( ~ spl101
| ~ spl100
| $false ),
inference(resolution,[status(thm)],[p242,p239]) ).
cnf(sct12,plain,
( ~ spl101
| ~ spl100 ),
inference(avatar_contradiction_clause,[status(thm)],[p655]) ).
fof(sdef103,definition,
( spl103
<=> def13 ),
introduced(definition,[new_symbols(naming,[spl103])],[avatar_definition]) ).
cnf(p246,plain,
( ~ spl103
| def13 ),
inference(avatar_component_clause,[status(thm)],[sdef103]) ).
fof(sdef102,definition,
( spl102
<=> ~ def13 ),
introduced(definition,[new_symbols(naming,[spl102])],[avatar_definition]) ).
cnf(p244,plain,
( ~ spl102
| ~ def13 ),
inference(avatar_component_clause,[status(thm)],[sdef102]) ).
cnf(p656,plain,
( ~ spl103
| ~ spl102
| $false ),
inference(resolution,[status(thm)],[p246,p244]) ).
cnf(sct13,plain,
( ~ spl103
| ~ spl102 ),
inference(avatar_contradiction_clause,[status(thm)],[p656]) ).
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(sdef104,definition,
( spl104
<=> ~ def14 ),
introduced(definition,[new_symbols(naming,[spl104])],[avatar_definition]) ).
cnf(p249,plain,
( ~ spl104
| ~ def14 ),
inference(avatar_component_clause,[status(thm)],[sdef104]) ).
cnf(p661,plain,
( ~ spl105
| ~ spl104
| $false ),
inference(resolution,[status(thm)],[p252,p249]) ).
cnf(sct14,plain,
( ~ spl105
| ~ spl104 ),
inference(avatar_contradiction_clause,[status(thm)],[p661]) ).
fof(sdef108,definition,
( spl108
<=> def15 ),
introduced(definition,[new_symbols(naming,[spl108])],[avatar_definition]) ).
cnf(p257,plain,
( ~ spl108
| def15 ),
inference(avatar_component_clause,[status(thm)],[sdef108]) ).
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(p662,plain,
( ~ spl108
| ~ spl106
| $false ),
inference(resolution,[status(thm)],[p257,p254]) ).
cnf(sct15,plain,
( ~ spl108
| ~ spl106 ),
inference(avatar_contradiction_clause,[status(thm)],[p662]) ).
fof(sdef111,definition,
( spl111
<=> def16 ),
introduced(definition,[new_symbols(naming,[spl111])],[avatar_definition]) ).
cnf(p264,plain,
( ~ spl111
| def16 ),
inference(avatar_component_clause,[status(thm)],[sdef111]) ).
fof(sdef110,definition,
( spl110
<=> ~ def16 ),
introduced(definition,[new_symbols(naming,[spl110])],[avatar_definition]) ).
cnf(p261,plain,
( ~ spl110
| ~ def16 ),
inference(avatar_component_clause,[status(thm)],[sdef110]) ).
cnf(p669,plain,
( ~ spl111
| ~ spl110
| $false ),
inference(resolution,[status(thm)],[p264,p261]) ).
cnf(sct16,plain,
( ~ spl111
| ~ spl110 ),
inference(avatar_contradiction_clause,[status(thm)],[p669]) ).
fof(sdef114,definition,
( spl114
<=> def17 ),
introduced(definition,[new_symbols(naming,[spl114])],[avatar_definition]) ).
cnf(p269,plain,
( ~ spl114
| def17 ),
inference(avatar_component_clause,[status(thm)],[sdef114]) ).
fof(sdef112,definition,
( spl112
<=> ~ def17 ),
introduced(definition,[new_symbols(naming,[spl112])],[avatar_definition]) ).
cnf(p266,plain,
( ~ spl112
| ~ def17 ),
inference(avatar_component_clause,[status(thm)],[sdef112]) ).
cnf(p670,plain,
( ~ spl114
| ~ spl112
| $false ),
inference(resolution,[status(thm)],[p269,p266]) ).
cnf(sct17,plain,
( ~ spl114
| ~ spl112 ),
inference(avatar_contradiction_clause,[status(thm)],[p670]) ).
fof(sdef117,definition,
( spl117
<=> def18 ),
introduced(definition,[new_symbols(naming,[spl117])],[avatar_definition]) ).
cnf(p276,plain,
( ~ spl117
| def18 ),
inference(avatar_component_clause,[status(thm)],[sdef117]) ).
fof(sdef116,definition,
( spl116
<=> ~ def18 ),
introduced(definition,[new_symbols(naming,[spl116])],[avatar_definition]) ).
cnf(p273,plain,
( ~ spl116
| ~ def18 ),
inference(avatar_component_clause,[status(thm)],[sdef116]) ).
cnf(p671,plain,
( ~ spl117
| ~ spl116
| $false ),
inference(resolution,[status(thm)],[p276,p273]) ).
cnf(sct18,plain,
( ~ spl117
| ~ spl116 ),
inference(avatar_contradiction_clause,[status(thm)],[p671]) ).
fof(sdef120,definition,
( spl120
<=> def19 ),
introduced(definition,[new_symbols(naming,[spl120])],[avatar_definition]) ).
cnf(p281,plain,
( ~ spl120
| def19 ),
inference(avatar_component_clause,[status(thm)],[sdef120]) ).
fof(sdef118,definition,
( spl118
<=> ~ def19 ),
introduced(definition,[new_symbols(naming,[spl118])],[avatar_definition]) ).
cnf(p278,plain,
( ~ spl118
| ~ def19 ),
inference(avatar_component_clause,[status(thm)],[sdef118]) ).
cnf(p672,plain,
( ~ spl120
| ~ spl118
| $false ),
inference(resolution,[status(thm)],[p281,p278]) ).
cnf(sct19,plain,
( ~ spl120
| ~ spl118 ),
inference(avatar_contradiction_clause,[status(thm)],[p672]) ).
fof(sdef123,definition,
( spl123
<=> def20 ),
introduced(definition,[new_symbols(naming,[spl123])],[avatar_definition]) ).
cnf(p288,plain,
( ~ spl123
| def20 ),
inference(avatar_component_clause,[status(thm)],[sdef123]) ).
fof(sdef122,definition,
( spl122
<=> ~ def20 ),
introduced(definition,[new_symbols(naming,[spl122])],[avatar_definition]) ).
cnf(p285,plain,
( ~ spl122
| ~ def20 ),
inference(avatar_component_clause,[status(thm)],[sdef122]) ).
cnf(p675,plain,
( ~ spl123
| ~ spl122
| $false ),
inference(resolution,[status(thm)],[p288,p285]) ).
cnf(sct20,plain,
( ~ spl123
| ~ spl122 ),
inference(avatar_contradiction_clause,[status(thm)],[p675]) ).
fof(sdef126,definition,
( spl126
<=> def21 ),
introduced(definition,[new_symbols(naming,[spl126])],[avatar_definition]) ).
cnf(p293,plain,
( ~ spl126
| def21 ),
inference(avatar_component_clause,[status(thm)],[sdef126]) ).
fof(sdef124,definition,
( spl124
<=> ~ def21 ),
introduced(definition,[new_symbols(naming,[spl124])],[avatar_definition]) ).
cnf(p290,plain,
( ~ spl124
| ~ def21 ),
inference(avatar_component_clause,[status(thm)],[sdef124]) ).
cnf(p676,plain,
( ~ spl126
| ~ spl124
| $false ),
inference(resolution,[status(thm)],[p293,p290]) ).
cnf(sct21,plain,
( ~ spl126
| ~ spl124 ),
inference(avatar_contradiction_clause,[status(thm)],[p676]) ).
fof(sdef129,definition,
( spl129
<=> def22 ),
introduced(definition,[new_symbols(naming,[spl129])],[avatar_definition]) ).
cnf(p300,plain,
( ~ spl129
| def22 ),
inference(avatar_component_clause,[status(thm)],[sdef129]) ).
fof(sdef128,definition,
( spl128
<=> ~ def22 ),
introduced(definition,[new_symbols(naming,[spl128])],[avatar_definition]) ).
cnf(p297,plain,
( ~ spl128
| ~ def22 ),
inference(avatar_component_clause,[status(thm)],[sdef128]) ).
cnf(p681,plain,
( ~ spl129
| ~ spl128
| $false ),
inference(resolution,[status(thm)],[p300,p297]) ).
cnf(sct22,plain,
( ~ spl129
| ~ spl128 ),
inference(avatar_contradiction_clause,[status(thm)],[p681]) ).
fof(sdef131,definition,
( spl131
<=> def23 ),
introduced(definition,[new_symbols(naming,[spl131])],[avatar_definition]) ).
cnf(p304,plain,
( ~ spl131
| def23 ),
inference(avatar_component_clause,[status(thm)],[sdef131]) ).
fof(sdef130,definition,
( spl130
<=> ~ def23 ),
introduced(definition,[new_symbols(naming,[spl130])],[avatar_definition]) ).
cnf(p302,plain,
( ~ spl130
| ~ def23 ),
inference(avatar_component_clause,[status(thm)],[sdef130]) ).
cnf(p682,plain,
( ~ spl131
| ~ spl130
| $false ),
inference(resolution,[status(thm)],[p304,p302]) ).
cnf(sct23,plain,
( ~ spl131
| ~ spl130 ),
inference(avatar_contradiction_clause,[status(thm)],[p682]) ).
fof(sdef133,definition,
( spl133
<=> def24 ),
introduced(definition,[new_symbols(naming,[spl133])],[avatar_definition]) ).
cnf(p310,plain,
( ~ spl133
| def24 ),
inference(avatar_component_clause,[status(thm)],[sdef133]) ).
fof(sdef132,definition,
( spl132
<=> ~ def24 ),
introduced(definition,[new_symbols(naming,[spl132])],[avatar_definition]) ).
cnf(p307,plain,
( ~ spl132
| ~ def24 ),
inference(avatar_component_clause,[status(thm)],[sdef132]) ).
cnf(p689,plain,
( ~ spl133
| ~ spl132
| $false ),
inference(resolution,[status(thm)],[p310,p307]) ).
cnf(sct24,plain,
( ~ spl133
| ~ spl132 ),
inference(avatar_contradiction_clause,[status(thm)],[p689]) ).
fof(sdef136,definition,
( spl136
<=> def25 ),
introduced(definition,[new_symbols(naming,[spl136])],[avatar_definition]) ).
cnf(p315,plain,
( ~ spl136
| def25 ),
inference(avatar_component_clause,[status(thm)],[sdef136]) ).
fof(sdef134,definition,
( spl134
<=> ~ def25 ),
introduced(definition,[new_symbols(naming,[spl134])],[avatar_definition]) ).
cnf(p312,plain,
( ~ spl134
| ~ def25 ),
inference(avatar_component_clause,[status(thm)],[sdef134]) ).
cnf(p690,plain,
( ~ spl136
| ~ spl134
| $false ),
inference(resolution,[status(thm)],[p315,p312]) ).
cnf(sct25,plain,
( ~ spl136
| ~ spl134 ),
inference(avatar_contradiction_clause,[status(thm)],[p690]) ).
fof(sdef139,definition,
( spl139
<=> def26 ),
introduced(definition,[new_symbols(naming,[spl139])],[avatar_definition]) ).
cnf(p322,plain,
( ~ spl139
| def26 ),
inference(avatar_component_clause,[status(thm)],[sdef139]) ).
fof(sdef138,definition,
( spl138
<=> ~ def26 ),
introduced(definition,[new_symbols(naming,[spl138])],[avatar_definition]) ).
cnf(p319,plain,
( ~ spl138
| ~ def26 ),
inference(avatar_component_clause,[status(thm)],[sdef138]) ).
cnf(p691,plain,
( ~ spl139
| ~ spl138
| $false ),
inference(resolution,[status(thm)],[p322,p319]) ).
cnf(sct26,plain,
( ~ spl139
| ~ spl138 ),
inference(avatar_contradiction_clause,[status(thm)],[p691]) ).
fof(sdef142,definition,
( spl142
<=> def27 ),
introduced(definition,[new_symbols(naming,[spl142])],[avatar_definition]) ).
cnf(p327,plain,
( ~ spl142
| def27 ),
inference(avatar_component_clause,[status(thm)],[sdef142]) ).
fof(sdef140,definition,
( spl140
<=> ~ def27 ),
introduced(definition,[new_symbols(naming,[spl140])],[avatar_definition]) ).
cnf(p324,plain,
( ~ spl140
| ~ def27 ),
inference(avatar_component_clause,[status(thm)],[sdef140]) ).
cnf(p692,plain,
( ~ spl142
| ~ spl140
| $false ),
inference(resolution,[status(thm)],[p327,p324]) ).
cnf(sct27,plain,
( ~ spl142
| ~ spl140 ),
inference(avatar_contradiction_clause,[status(thm)],[p692]) ).
fof(sdef145,definition,
( spl145
<=> def28 ),
introduced(definition,[new_symbols(naming,[spl145])],[avatar_definition]) ).
cnf(p334,plain,
( ~ spl145
| def28 ),
inference(avatar_component_clause,[status(thm)],[sdef145]) ).
fof(sdef144,definition,
( spl144
<=> ~ def28 ),
introduced(definition,[new_symbols(naming,[spl144])],[avatar_definition]) ).
cnf(p331,plain,
( ~ spl144
| ~ def28 ),
inference(avatar_component_clause,[status(thm)],[sdef144]) ).
cnf(p695,plain,
( ~ spl145
| ~ spl144
| $false ),
inference(resolution,[status(thm)],[p334,p331]) ).
cnf(sct28,plain,
( ~ spl145
| ~ spl144 ),
inference(avatar_contradiction_clause,[status(thm)],[p695]) ).
fof(sdef148,definition,
( spl148
<=> def29 ),
introduced(definition,[new_symbols(naming,[spl148])],[avatar_definition]) ).
cnf(p339,plain,
( ~ spl148
| def29 ),
inference(avatar_component_clause,[status(thm)],[sdef148]) ).
fof(sdef146,definition,
( spl146
<=> ~ def29 ),
introduced(definition,[new_symbols(naming,[spl146])],[avatar_definition]) ).
cnf(p336,plain,
( ~ spl146
| ~ def29 ),
inference(avatar_component_clause,[status(thm)],[sdef146]) ).
cnf(p696,plain,
( ~ spl148
| ~ spl146
| $false ),
inference(resolution,[status(thm)],[p339,p336]) ).
cnf(sct29,plain,
( ~ spl148
| ~ spl146 ),
inference(avatar_contradiction_clause,[status(thm)],[p696]) ).
fof(sdef151,definition,
( spl151
<=> def30 ),
introduced(definition,[new_symbols(naming,[spl151])],[avatar_definition]) ).
cnf(p346,plain,
( ~ spl151
| def30 ),
inference(avatar_component_clause,[status(thm)],[sdef151]) ).
fof(sdef150,definition,
( spl150
<=> ~ def30 ),
introduced(definition,[new_symbols(naming,[spl150])],[avatar_definition]) ).
cnf(p343,plain,
( ~ spl150
| ~ def30 ),
inference(avatar_component_clause,[status(thm)],[sdef150]) ).
cnf(p701,plain,
( ~ spl151
| ~ spl150
| $false ),
inference(resolution,[status(thm)],[p346,p343]) ).
cnf(sct30,plain,
( ~ spl151
| ~ spl150 ),
inference(avatar_contradiction_clause,[status(thm)],[p701]) ).
fof(sdef154,definition,
( spl154
<=> def31 ),
introduced(definition,[new_symbols(naming,[spl154])],[avatar_definition]) ).
cnf(p351,plain,
( ~ spl154
| def31 ),
inference(avatar_component_clause,[status(thm)],[sdef154]) ).
fof(sdef152,definition,
( spl152
<=> ~ def31 ),
introduced(definition,[new_symbols(naming,[spl152])],[avatar_definition]) ).
cnf(p348,plain,
( ~ spl152
| ~ def31 ),
inference(avatar_component_clause,[status(thm)],[sdef152]) ).
cnf(p702,plain,
( ~ spl154
| ~ spl152
| $false ),
inference(resolution,[status(thm)],[p351,p348]) ).
cnf(sct31,plain,
( ~ spl154
| ~ spl152 ),
inference(avatar_contradiction_clause,[status(thm)],[p702]) ).
fof(sdef157,definition,
( spl157
<=> def32 ),
introduced(definition,[new_symbols(naming,[spl157])],[avatar_definition]) ).
cnf(p358,plain,
( ~ spl157
| def32 ),
inference(avatar_component_clause,[status(thm)],[sdef157]) ).
fof(sdef156,definition,
( spl156
<=> ~ def32 ),
introduced(definition,[new_symbols(naming,[spl156])],[avatar_definition]) ).
cnf(p355,plain,
( ~ spl156
| ~ def32 ),
inference(avatar_component_clause,[status(thm)],[sdef156]) ).
cnf(p709,plain,
( ~ spl157
| ~ spl156
| $false ),
inference(resolution,[status(thm)],[p358,p355]) ).
cnf(sct32,plain,
( ~ spl157
| ~ spl156 ),
inference(avatar_contradiction_clause,[status(thm)],[p709]) ).
fof(sdef159,definition,
( spl159
<=> def33 ),
introduced(definition,[new_symbols(naming,[spl159])],[avatar_definition]) ).
cnf(p362,plain,
( ~ spl159
| def33 ),
inference(avatar_component_clause,[status(thm)],[sdef159]) ).
fof(sdef158,definition,
( spl158
<=> ~ def33 ),
introduced(definition,[new_symbols(naming,[spl158])],[avatar_definition]) ).
cnf(p360,plain,
( ~ spl158
| ~ def33 ),
inference(avatar_component_clause,[status(thm)],[sdef158]) ).
cnf(p710,plain,
( ~ spl159
| ~ spl158
| $false ),
inference(resolution,[status(thm)],[p362,p360]) ).
cnf(sct33,plain,
( ~ spl159
| ~ spl158 ),
inference(avatar_contradiction_clause,[status(thm)],[p710]) ).
fof(sdef163,definition,
( spl163
<=> def35 ),
introduced(definition,[new_symbols(naming,[spl163])],[avatar_definition]) ).
cnf(p372,plain,
( ~ spl163
| def35 ),
inference(avatar_component_clause,[status(thm)],[sdef163]) ).
fof(sdef162,definition,
( spl162
<=> ~ def35 ),
introduced(definition,[new_symbols(naming,[spl162])],[avatar_definition]) ).
cnf(p370,plain,
( ~ spl162
| ~ def35 ),
inference(avatar_component_clause,[status(thm)],[sdef162]) ).
cnf(p712,plain,
( ~ spl163
| ~ spl162
| $false ),
inference(resolution,[status(thm)],[p372,p370]) ).
cnf(sct34,plain,
( ~ spl163
| ~ spl162 ),
inference(avatar_contradiction_clause,[status(thm)],[p712]) ).
fof(sdef165,definition,
( spl165
<=> def36 ),
introduced(definition,[new_symbols(naming,[spl165])],[avatar_definition]) ).
cnf(p377,plain,
( ~ spl165
| def36 ),
inference(avatar_component_clause,[status(thm)],[sdef165]) ).
fof(sdef164,definition,
( spl164
<=> ~ def36 ),
introduced(definition,[new_symbols(naming,[spl164])],[avatar_definition]) ).
cnf(p374,plain,
( ~ spl164
| ~ def36 ),
inference(avatar_component_clause,[status(thm)],[sdef164]) ).
cnf(p715,plain,
( ~ spl165
| ~ spl164
| $false ),
inference(resolution,[status(thm)],[p377,p374]) ).
cnf(sct35,plain,
( ~ spl165
| ~ spl164 ),
inference(avatar_contradiction_clause,[status(thm)],[p715]) ).
fof(sdef168,definition,
( spl168
<=> def37 ),
introduced(definition,[new_symbols(naming,[spl168])],[avatar_definition]) ).
cnf(p383,plain,
( ~ spl168
| def37 ),
inference(avatar_component_clause,[status(thm)],[sdef168]) ).
fof(sdef166,definition,
( spl166
<=> ~ def37 ),
introduced(definition,[new_symbols(naming,[spl166])],[avatar_definition]) ).
cnf(p379,plain,
( ~ spl166
| ~ def37 ),
inference(avatar_component_clause,[status(thm)],[sdef166]) ).
cnf(p716,plain,
( ~ spl168
| ~ spl166
| $false ),
inference(resolution,[status(thm)],[p383,p379]) ).
cnf(sct36,plain,
( ~ spl168
| ~ spl166 ),
inference(avatar_contradiction_clause,[status(thm)],[p716]) ).
fof(sdef170,definition,
( spl170
<=> def38 ),
introduced(definition,[new_symbols(naming,[spl170])],[avatar_definition]) ).
cnf(p388,plain,
( ~ spl170
| def38 ),
inference(avatar_component_clause,[status(thm)],[sdef170]) ).
fof(sdef169,definition,
( spl169
<=> ~ def38 ),
introduced(definition,[new_symbols(naming,[spl169])],[avatar_definition]) ).
cnf(p385,plain,
( ~ spl169
| ~ def38 ),
inference(avatar_component_clause,[status(thm)],[sdef169]) ).
cnf(p721,plain,
( ~ spl170
| ~ spl169
| $false ),
inference(resolution,[status(thm)],[p388,p385]) ).
cnf(sct37,plain,
( ~ spl170
| ~ spl169 ),
inference(avatar_contradiction_clause,[status(thm)],[p721]) ).
fof(sdef172,definition,
( spl172
<=> def39 ),
introduced(definition,[new_symbols(naming,[spl172])],[avatar_definition]) ).
cnf(p392,plain,
( ~ spl172
| def39 ),
inference(avatar_component_clause,[status(thm)],[sdef172]) ).
fof(sdef171,definition,
( spl171
<=> ~ def39 ),
introduced(definition,[new_symbols(naming,[spl171])],[avatar_definition]) ).
cnf(p390,plain,
( ~ spl171
| ~ def39 ),
inference(avatar_component_clause,[status(thm)],[sdef171]) ).
cnf(p722,plain,
( ~ spl172
| ~ spl171
| $false ),
inference(resolution,[status(thm)],[p392,p390]) ).
cnf(sct38,plain,
( ~ spl172
| ~ spl171 ),
inference(avatar_contradiction_clause,[status(thm)],[p722]) ).
fof(sdef175,definition,
( spl175
<=> def40 ),
introduced(definition,[new_symbols(naming,[spl175])],[avatar_definition]) ).
cnf(p399,plain,
( ~ spl175
| def40 ),
inference(avatar_component_clause,[status(thm)],[sdef175]) ).
fof(sdef173,definition,
( spl173
<=> ~ def40 ),
introduced(definition,[new_symbols(naming,[spl173])],[avatar_definition]) ).
cnf(p395,plain,
( ~ spl173
| ~ def40 ),
inference(avatar_component_clause,[status(thm)],[sdef173]) ).
cnf(p729,plain,
( ~ spl175
| ~ spl173
| $false ),
inference(resolution,[status(thm)],[p399,p395]) ).
cnf(sct39,plain,
( ~ spl175
| ~ spl173 ),
inference(avatar_contradiction_clause,[status(thm)],[p729]) ).
fof(sdef177,definition,
( spl177
<=> def41 ),
introduced(definition,[new_symbols(naming,[spl177])],[avatar_definition]) ).
cnf(p404,plain,
( ~ spl177
| def41 ),
inference(avatar_component_clause,[status(thm)],[sdef177]) ).
fof(sdef176,definition,
( spl176
<=> ~ def41 ),
introduced(definition,[new_symbols(naming,[spl176])],[avatar_definition]) ).
cnf(p401,plain,
( ~ spl176
| ~ def41 ),
inference(avatar_component_clause,[status(thm)],[sdef176]) ).
cnf(p730,plain,
( ~ spl177
| ~ spl176
| $false ),
inference(resolution,[status(thm)],[p404,p401]) ).
cnf(sct40,plain,
( ~ spl177
| ~ spl176 ),
inference(avatar_contradiction_clause,[status(thm)],[p730]) ).
fof(sdef179,definition,
( spl179
<=> def42 ),
introduced(definition,[new_symbols(naming,[spl179])],[avatar_definition]) ).
cnf(p408,plain,
( ~ spl179
| def42 ),
inference(avatar_component_clause,[status(thm)],[sdef179]) ).
fof(sdef178,definition,
( spl178
<=> ~ def42 ),
introduced(definition,[new_symbols(naming,[spl178])],[avatar_definition]) ).
cnf(p406,plain,
( ~ spl178
| ~ def42 ),
inference(avatar_component_clause,[status(thm)],[sdef178]) ).
cnf(p731,plain,
( ~ spl179
| ~ spl178
| $false ),
inference(resolution,[status(thm)],[p408,p406]) ).
cnf(sct41,plain,
( ~ spl179
| ~ spl178 ),
inference(avatar_contradiction_clause,[status(thm)],[p731]) ).
fof(sdef182,definition,
( spl182
<=> def43 ),
introduced(definition,[new_symbols(naming,[spl182])],[avatar_definition]) ).
cnf(p415,plain,
( ~ spl182
| def43 ),
inference(avatar_component_clause,[status(thm)],[sdef182]) ).
fof(sdef180,definition,
( spl180
<=> ~ def43 ),
introduced(definition,[new_symbols(naming,[spl180])],[avatar_definition]) ).
cnf(p411,plain,
( ~ spl180
| ~ def43 ),
inference(avatar_component_clause,[status(thm)],[sdef180]) ).
cnf(p732,plain,
( ~ spl182
| ~ spl180
| $false ),
inference(resolution,[status(thm)],[p415,p411]) ).
cnf(sct42,plain,
( ~ spl182
| ~ spl180 ),
inference(avatar_contradiction_clause,[status(thm)],[p732]) ).
fof(sdef184,definition,
( spl184
<=> def44 ),
introduced(definition,[new_symbols(naming,[spl184])],[avatar_definition]) ).
cnf(p420,plain,
( ~ spl184
| def44 ),
inference(avatar_component_clause,[status(thm)],[sdef184]) ).
fof(sdef183,definition,
( spl183
<=> ~ def44 ),
introduced(definition,[new_symbols(naming,[spl183])],[avatar_definition]) ).
cnf(p417,plain,
( ~ spl183
| ~ def44 ),
inference(avatar_component_clause,[status(thm)],[sdef183]) ).
cnf(p735,plain,
( ~ spl184
| ~ spl183
| $false ),
inference(resolution,[status(thm)],[p420,p417]) ).
cnf(sct43,plain,
( ~ spl184
| ~ spl183 ),
inference(avatar_contradiction_clause,[status(thm)],[p735]) ).
fof(sdef186,definition,
( spl186
<=> def45 ),
introduced(definition,[new_symbols(naming,[spl186])],[avatar_definition]) ).
cnf(p424,plain,
( ~ spl186
| def45 ),
inference(avatar_component_clause,[status(thm)],[sdef186]) ).
fof(sdef185,definition,
( spl185
<=> ~ def45 ),
introduced(definition,[new_symbols(naming,[spl185])],[avatar_definition]) ).
cnf(p422,plain,
( ~ spl185
| ~ def45 ),
inference(avatar_component_clause,[status(thm)],[sdef185]) ).
cnf(p736,plain,
( ~ spl186
| ~ spl185
| $false ),
inference(resolution,[status(thm)],[p424,p422]) ).
cnf(sct44,plain,
( ~ spl186
| ~ spl185 ),
inference(avatar_contradiction_clause,[status(thm)],[p736]) ).
fof(sdef189,definition,
( spl189
<=> def46 ),
introduced(definition,[new_symbols(naming,[spl189])],[avatar_definition]) ).
cnf(p431,plain,
( ~ spl189
| def46 ),
inference(avatar_component_clause,[status(thm)],[sdef189]) ).
fof(sdef187,definition,
( spl187
<=> ~ def46 ),
introduced(definition,[new_symbols(naming,[spl187])],[avatar_definition]) ).
cnf(p427,plain,
( ~ spl187
| ~ def46 ),
inference(avatar_component_clause,[status(thm)],[sdef187]) ).
cnf(p741,plain,
( ~ spl189
| ~ spl187
| $false ),
inference(resolution,[status(thm)],[p431,p427]) ).
cnf(sct45,plain,
( ~ spl189
| ~ spl187 ),
inference(avatar_contradiction_clause,[status(thm)],[p741]) ).
fof(sdef191,definition,
( spl191
<=> def47 ),
introduced(definition,[new_symbols(naming,[spl191])],[avatar_definition]) ).
cnf(p436,plain,
( ~ spl191
| def47 ),
inference(avatar_component_clause,[status(thm)],[sdef191]) ).
fof(sdef190,definition,
( spl190
<=> ~ def47 ),
introduced(definition,[new_symbols(naming,[spl190])],[avatar_definition]) ).
cnf(p433,plain,
( ~ spl190
| ~ def47 ),
inference(avatar_component_clause,[status(thm)],[sdef190]) ).
cnf(p742,plain,
( ~ spl191
| ~ spl190
| $false ),
inference(resolution,[status(thm)],[p436,p433]) ).
cnf(sct46,plain,
( ~ spl191
| ~ spl190 ),
inference(avatar_contradiction_clause,[status(thm)],[p742]) ).
fof(sdef193,definition,
( spl193
<=> def48 ),
introduced(definition,[new_symbols(naming,[spl193])],[avatar_definition]) ).
cnf(p440,plain,
( ~ spl193
| def48 ),
inference(avatar_component_clause,[status(thm)],[sdef193]) ).
fof(sdef192,definition,
( spl192
<=> ~ def48 ),
introduced(definition,[new_symbols(naming,[spl192])],[avatar_definition]) ).
cnf(p438,plain,
( ~ spl192
| ~ def48 ),
inference(avatar_component_clause,[status(thm)],[sdef192]) ).
cnf(p749,plain,
( ~ spl193
| ~ spl192
| $false ),
inference(resolution,[status(thm)],[p440,p438]) ).
cnf(sct47,plain,
( ~ spl193
| ~ spl192 ),
inference(avatar_contradiction_clause,[status(thm)],[p749]) ).
fof(sdef195,definition,
( spl195
<=> def49 ),
introduced(definition,[new_symbols(naming,[spl195])],[avatar_definition]) ).
cnf(p445,plain,
( ~ spl195
| def49 ),
inference(avatar_component_clause,[status(thm)],[sdef195]) ).
fof(sdef194,definition,
( spl194
<=> ~ def49 ),
introduced(definition,[new_symbols(naming,[spl194])],[avatar_definition]) ).
cnf(p443,plain,
( ~ spl194
| ~ def49 ),
inference(avatar_component_clause,[status(thm)],[sdef194]) ).
cnf(p750,plain,
( ~ spl195
| ~ spl194
| $false ),
inference(resolution,[status(thm)],[p445,p443]) ).
cnf(sct48,plain,
( ~ spl195
| ~ spl194 ),
inference(avatar_contradiction_clause,[status(thm)],[p750]) ).
fof(sdef197,definition,
( spl197
<=> def50 ),
introduced(definition,[new_symbols(naming,[spl197])],[avatar_definition]) ).
cnf(p450,plain,
( ~ spl197
| def50 ),
inference(avatar_component_clause,[status(thm)],[sdef197]) ).
fof(sdef196,definition,
( spl196
<=> ~ def50 ),
introduced(definition,[new_symbols(naming,[spl196])],[avatar_definition]) ).
cnf(p447,plain,
( ~ spl196
| ~ def50 ),
inference(avatar_component_clause,[status(thm)],[sdef196]) ).
cnf(p751,plain,
( ~ spl197
| ~ spl196
| $false ),
inference(resolution,[status(thm)],[p450,p447]) ).
cnf(sct49,plain,
( ~ spl197
| ~ spl196 ),
inference(avatar_contradiction_clause,[status(thm)],[p751]) ).
fof(sdef199,definition,
( spl199
<=> def51 ),
introduced(definition,[new_symbols(naming,[spl199])],[avatar_definition]) ).
cnf(p454,plain,
( ~ spl199
| def51 ),
inference(avatar_component_clause,[status(thm)],[sdef199]) ).
fof(sdef198,definition,
( spl198
<=> ~ def51 ),
introduced(definition,[new_symbols(naming,[spl198])],[avatar_definition]) ).
cnf(p452,plain,
( ~ spl198
| ~ def51 ),
inference(avatar_component_clause,[status(thm)],[sdef198]) ).
cnf(p752,plain,
( ~ spl199
| ~ spl198
| $false ),
inference(resolution,[status(thm)],[p454,p452]) ).
cnf(sct50,plain,
( ~ spl199
| ~ spl198 ),
inference(avatar_contradiction_clause,[status(thm)],[p752]) ).
fof(sdef202,definition,
( spl202
<=> def52 ),
introduced(definition,[new_symbols(naming,[spl202])],[avatar_definition]) ).
cnf(p461,plain,
( ~ spl202
| def52 ),
inference(avatar_component_clause,[status(thm)],[sdef202]) ).
fof(sdef200,definition,
( spl200
<=> ~ def52 ),
introduced(definition,[new_symbols(naming,[spl200])],[avatar_definition]) ).
cnf(p457,plain,
( ~ spl200
| ~ def52 ),
inference(avatar_component_clause,[status(thm)],[sdef200]) ).
cnf(p755,plain,
( ~ spl202
| ~ spl200
| $false ),
inference(resolution,[status(thm)],[p461,p457]) ).
cnf(sct51,plain,
( ~ spl202
| ~ spl200 ),
inference(avatar_contradiction_clause,[status(thm)],[p755]) ).
fof(sdef204,definition,
( spl204
<=> def53 ),
introduced(definition,[new_symbols(naming,[spl204])],[avatar_definition]) ).
cnf(p466,plain,
( ~ spl204
| def53 ),
inference(avatar_component_clause,[status(thm)],[sdef204]) ).
fof(sdef203,definition,
( spl203
<=> ~ def53 ),
introduced(definition,[new_symbols(naming,[spl203])],[avatar_definition]) ).
cnf(p463,plain,
( ~ spl203
| ~ def53 ),
inference(avatar_component_clause,[status(thm)],[sdef203]) ).
cnf(p756,plain,
( ~ spl204
| ~ spl203
| $false ),
inference(resolution,[status(thm)],[p466,p463]) ).
cnf(sct52,plain,
( ~ spl204
| ~ spl203 ),
inference(avatar_contradiction_clause,[status(thm)],[p756]) ).
fof(sdef206,definition,
( spl206
<=> def54 ),
introduced(definition,[new_symbols(naming,[spl206])],[avatar_definition]) ).
cnf(p470,plain,
( ~ spl206
| def54 ),
inference(avatar_component_clause,[status(thm)],[sdef206]) ).
fof(sdef205,definition,
( spl205
<=> ~ def54 ),
introduced(definition,[new_symbols(naming,[spl205])],[avatar_definition]) ).
cnf(p468,plain,
( ~ spl205
| ~ def54 ),
inference(avatar_component_clause,[status(thm)],[sdef205]) ).
cnf(p761,plain,
( ~ spl206
| ~ spl205
| $false ),
inference(resolution,[status(thm)],[p470,p468]) ).
cnf(sct53,plain,
( ~ spl206
| ~ spl205 ),
inference(avatar_contradiction_clause,[status(thm)],[p761]) ).
fof(sdef209,definition,
( spl209
<=> def55 ),
introduced(definition,[new_symbols(naming,[spl209])],[avatar_definition]) ).
cnf(p477,plain,
( ~ spl209
| def55 ),
inference(avatar_component_clause,[status(thm)],[sdef209]) ).
fof(sdef207,definition,
( spl207
<=> ~ def55 ),
introduced(definition,[new_symbols(naming,[spl207])],[avatar_definition]) ).
cnf(p473,plain,
( ~ spl207
| ~ def55 ),
inference(avatar_component_clause,[status(thm)],[sdef207]) ).
cnf(p762,plain,
( ~ spl209
| ~ spl207
| $false ),
inference(resolution,[status(thm)],[p477,p473]) ).
cnf(sct54,plain,
( ~ spl209
| ~ spl207 ),
inference(avatar_contradiction_clause,[status(thm)],[p762]) ).
fof(sdef211,definition,
( spl211
<=> def56 ),
introduced(definition,[new_symbols(naming,[spl211])],[avatar_definition]) ).
cnf(p482,plain,
( ~ spl211
| def56 ),
inference(avatar_component_clause,[status(thm)],[sdef211]) ).
fof(sdef210,definition,
( spl210
<=> ~ def56 ),
introduced(definition,[new_symbols(naming,[spl210])],[avatar_definition]) ).
cnf(p479,plain,
( ~ spl210
| ~ def56 ),
inference(avatar_component_clause,[status(thm)],[sdef210]) ).
cnf(p769,plain,
( ~ spl211
| ~ spl210
| $false ),
inference(resolution,[status(thm)],[p482,p479]) ).
cnf(sct55,plain,
( ~ spl211
| ~ spl210 ),
inference(avatar_contradiction_clause,[status(thm)],[p769]) ).
fof(sdef213,definition,
( spl213
<=> def57 ),
introduced(definition,[new_symbols(naming,[spl213])],[avatar_definition]) ).
cnf(p486,plain,
( ~ spl213
| def57 ),
inference(avatar_component_clause,[status(thm)],[sdef213]) ).
fof(sdef212,definition,
( spl212
<=> ~ def57 ),
introduced(definition,[new_symbols(naming,[spl212])],[avatar_definition]) ).
cnf(p484,plain,
( ~ spl212
| ~ def57 ),
inference(avatar_component_clause,[status(thm)],[sdef212]) ).
cnf(p770,plain,
( ~ spl213
| ~ spl212
| $false ),
inference(resolution,[status(thm)],[p486,p484]) ).
cnf(sct56,plain,
( ~ spl213
| ~ spl212 ),
inference(avatar_contradiction_clause,[status(thm)],[p770]) ).
fof(sdef216,definition,
( spl216
<=> def58 ),
introduced(definition,[new_symbols(naming,[spl216])],[avatar_definition]) ).
cnf(p493,plain,
( ~ spl216
| def58 ),
inference(avatar_component_clause,[status(thm)],[sdef216]) ).
fof(sdef214,definition,
( spl214
<=> ~ def58 ),
introduced(definition,[new_symbols(naming,[spl214])],[avatar_definition]) ).
cnf(p489,plain,
( ~ spl214
| ~ def58 ),
inference(avatar_component_clause,[status(thm)],[sdef214]) ).
cnf(p771,plain,
( ~ spl216
| ~ spl214
| $false ),
inference(resolution,[status(thm)],[p493,p489]) ).
cnf(sct57,plain,
( ~ spl216
| ~ spl214 ),
inference(avatar_contradiction_clause,[status(thm)],[p771]) ).
fof(sdef218,definition,
( spl218
<=> def59 ),
introduced(definition,[new_symbols(naming,[spl218])],[avatar_definition]) ).
cnf(p498,plain,
( ~ spl218
| def59 ),
inference(avatar_component_clause,[status(thm)],[sdef218]) ).
fof(sdef217,definition,
( spl217
<=> ~ def59 ),
introduced(definition,[new_symbols(naming,[spl217])],[avatar_definition]) ).
cnf(p495,plain,
( ~ spl217
| ~ def59 ),
inference(avatar_component_clause,[status(thm)],[sdef217]) ).
cnf(p772,plain,
( ~ spl218
| ~ spl217
| $false ),
inference(resolution,[status(thm)],[p498,p495]) ).
cnf(sct58,plain,
( ~ spl218
| ~ spl217 ),
inference(avatar_contradiction_clause,[status(thm)],[p772]) ).
fof(sdef220,definition,
( spl220
<=> def60 ),
introduced(definition,[new_symbols(naming,[spl220])],[avatar_definition]) ).
cnf(p502,plain,
( ~ spl220
| def60 ),
inference(avatar_component_clause,[status(thm)],[sdef220]) ).
fof(sdef219,definition,
( spl219
<=> ~ def60 ),
introduced(definition,[new_symbols(naming,[spl219])],[avatar_definition]) ).
cnf(p500,plain,
( ~ spl219
| ~ def60 ),
inference(avatar_component_clause,[status(thm)],[sdef219]) ).
cnf(p775,plain,
( ~ spl220
| ~ spl219
| $false ),
inference(resolution,[status(thm)],[p502,p500]) ).
cnf(sct59,plain,
( ~ spl220
| ~ spl219 ),
inference(avatar_contradiction_clause,[status(thm)],[p775]) ).
fof(sdef223,definition,
( spl223
<=> def61 ),
introduced(definition,[new_symbols(naming,[spl223])],[avatar_definition]) ).
cnf(p509,plain,
( ~ spl223
| def61 ),
inference(avatar_component_clause,[status(thm)],[sdef223]) ).
fof(sdef221,definition,
( spl221
<=> ~ def61 ),
introduced(definition,[new_symbols(naming,[spl221])],[avatar_definition]) ).
cnf(p505,plain,
( ~ spl221
| ~ def61 ),
inference(avatar_component_clause,[status(thm)],[sdef221]) ).
cnf(p776,plain,
( ~ spl223
| ~ spl221
| $false ),
inference(resolution,[status(thm)],[p509,p505]) ).
cnf(sct60,plain,
( ~ spl223
| ~ spl221 ),
inference(avatar_contradiction_clause,[status(thm)],[p776]) ).
fof(sdef225,definition,
( spl225
<=> def62 ),
introduced(definition,[new_symbols(naming,[spl225])],[avatar_definition]) ).
cnf(p514,plain,
( ~ spl225
| def62 ),
inference(avatar_component_clause,[status(thm)],[sdef225]) ).
fof(sdef224,definition,
( spl224
<=> ~ def62 ),
introduced(definition,[new_symbols(naming,[spl224])],[avatar_definition]) ).
cnf(p511,plain,
( ~ spl224
| ~ def62 ),
inference(avatar_component_clause,[status(thm)],[sdef224]) ).
cnf(p781,plain,
( ~ spl225
| ~ spl224
| $false ),
inference(resolution,[status(thm)],[p514,p511]) ).
cnf(sct61,plain,
( ~ spl225
| ~ spl224 ),
inference(avatar_contradiction_clause,[status(thm)],[p781]) ).
fof(sdef227,definition,
( spl227
<=> def63 ),
introduced(definition,[new_symbols(naming,[spl227])],[avatar_definition]) ).
cnf(p518,plain,
( ~ spl227
| def63 ),
inference(avatar_component_clause,[status(thm)],[sdef227]) ).
fof(sdef226,definition,
( spl226
<=> ~ def63 ),
introduced(definition,[new_symbols(naming,[spl226])],[avatar_definition]) ).
cnf(p516,plain,
( ~ spl226
| ~ def63 ),
inference(avatar_component_clause,[status(thm)],[sdef226]) ).
cnf(p782,plain,
( ~ spl227
| ~ spl226
| $false ),
inference(resolution,[status(thm)],[p518,p516]) ).
cnf(sct62,plain,
( ~ spl227
| ~ spl226 ),
inference(avatar_contradiction_clause,[status(thm)],[p782]) ).
fof(sdef229,definition,
( spl229
<=> def64 ),
introduced(definition,[new_symbols(naming,[spl229])],[avatar_definition]) ).
cnf(p523,plain,
( ~ spl229
| def64 ),
inference(avatar_component_clause,[status(thm)],[sdef229]) ).
fof(sdef228,definition,
( spl228
<=> ~ def64 ),
introduced(definition,[new_symbols(naming,[spl228])],[avatar_definition]) ).
cnf(p521,plain,
( ~ spl228
| ~ def64 ),
inference(avatar_component_clause,[status(thm)],[sdef228]) ).
cnf(p789,plain,
( ~ spl229
| ~ spl228
| $false ),
inference(resolution,[status(thm)],[p523,p521]) ).
cnf(sct63,plain,
( ~ spl229
| ~ spl228 ),
inference(avatar_contradiction_clause,[status(thm)],[p789]) ).
fof(sdef231,definition,
( spl231
<=> def65 ),
introduced(definition,[new_symbols(naming,[spl231])],[avatar_definition]) ).
cnf(p528,plain,
( ~ spl231
| def65 ),
inference(avatar_component_clause,[status(thm)],[sdef231]) ).
fof(sdef230,definition,
( spl230
<=> ~ def65 ),
introduced(definition,[new_symbols(naming,[spl230])],[avatar_definition]) ).
cnf(p525,plain,
( ~ spl230
| ~ def65 ),
inference(avatar_component_clause,[status(thm)],[sdef230]) ).
cnf(p790,plain,
( ~ spl231
| ~ spl230
| $false ),
inference(resolution,[status(thm)],[p528,p525]) ).
cnf(sct64,plain,
( ~ spl231
| ~ spl230 ),
inference(avatar_contradiction_clause,[status(thm)],[p790]) ).
fof(sdef233,definition,
( spl233
<=> def66 ),
introduced(definition,[new_symbols(naming,[spl233])],[avatar_definition]) ).
cnf(p532,plain,
( ~ spl233
| def66 ),
inference(avatar_component_clause,[status(thm)],[sdef233]) ).
fof(sdef232,definition,
( spl232
<=> ~ def66 ),
introduced(definition,[new_symbols(naming,[spl232])],[avatar_definition]) ).
cnf(p530,plain,
( ~ spl232
| ~ def66 ),
inference(avatar_component_clause,[status(thm)],[sdef232]) ).
cnf(p791,plain,
( ~ spl233
| ~ spl232
| $false ),
inference(resolution,[status(thm)],[p532,p530]) ).
cnf(sct65,plain,
( ~ spl233
| ~ spl232 ),
inference(avatar_contradiction_clause,[status(thm)],[p791]) ).
fof(sdef236,definition,
( spl236
<=> def67 ),
introduced(definition,[new_symbols(naming,[spl236])],[avatar_definition]) ).
cnf(p539,plain,
( ~ spl236
| def67 ),
inference(avatar_component_clause,[status(thm)],[sdef236]) ).
fof(sdef234,definition,
( spl234
<=> ~ def67 ),
introduced(definition,[new_symbols(naming,[spl234])],[avatar_definition]) ).
cnf(p535,plain,
( ~ spl234
| ~ def67 ),
inference(avatar_component_clause,[status(thm)],[sdef234]) ).
cnf(p792,plain,
( ~ spl236
| ~ spl234
| $false ),
inference(resolution,[status(thm)],[p539,p535]) ).
cnf(sct66,plain,
( ~ spl236
| ~ spl234 ),
inference(avatar_contradiction_clause,[status(thm)],[p792]) ).
fof(sdef238,definition,
( spl238
<=> def68 ),
introduced(definition,[new_symbols(naming,[spl238])],[avatar_definition]) ).
cnf(p544,plain,
( ~ spl238
| def68 ),
inference(avatar_component_clause,[status(thm)],[sdef238]) ).
fof(sdef237,definition,
( spl237
<=> ~ def68 ),
introduced(definition,[new_symbols(naming,[spl237])],[avatar_definition]) ).
cnf(p541,plain,
( ~ spl237
| ~ def68 ),
inference(avatar_component_clause,[status(thm)],[sdef237]) ).
cnf(p795,plain,
( ~ spl238
| ~ spl237
| $false ),
inference(resolution,[status(thm)],[p544,p541]) ).
cnf(sct67,plain,
( ~ spl238
| ~ spl237 ),
inference(avatar_contradiction_clause,[status(thm)],[p795]) ).
fof(sdef240,definition,
( spl240
<=> def69 ),
introduced(definition,[new_symbols(naming,[spl240])],[avatar_definition]) ).
cnf(p548,plain,
( ~ spl240
| def69 ),
inference(avatar_component_clause,[status(thm)],[sdef240]) ).
fof(sdef239,definition,
( spl239
<=> ~ def69 ),
introduced(definition,[new_symbols(naming,[spl239])],[avatar_definition]) ).
cnf(p546,plain,
( ~ spl239
| ~ def69 ),
inference(avatar_component_clause,[status(thm)],[sdef239]) ).
cnf(p796,plain,
( ~ spl240
| ~ spl239
| $false ),
inference(resolution,[status(thm)],[p548,p546]) ).
cnf(sct68,plain,
( ~ spl240
| ~ spl239 ),
inference(avatar_contradiction_clause,[status(thm)],[p796]) ).
fof(sdef243,definition,
( spl243
<=> def70 ),
introduced(definition,[new_symbols(naming,[spl243])],[avatar_definition]) ).
cnf(p555,plain,
( ~ spl243
| def70 ),
inference(avatar_component_clause,[status(thm)],[sdef243]) ).
fof(sdef241,definition,
( spl241
<=> ~ def70 ),
introduced(definition,[new_symbols(naming,[spl241])],[avatar_definition]) ).
cnf(p551,plain,
( ~ spl241
| ~ def70 ),
inference(avatar_component_clause,[status(thm)],[sdef241]) ).
cnf(p801,plain,
( ~ spl243
| ~ spl241
| $false ),
inference(resolution,[status(thm)],[p555,p551]) ).
cnf(sct69,plain,
( ~ spl243
| ~ spl241 ),
inference(avatar_contradiction_clause,[status(thm)],[p801]) ).
fof(sdef245,definition,
( spl245
<=> def71 ),
introduced(definition,[new_symbols(naming,[spl245])],[avatar_definition]) ).
cnf(p560,plain,
( ~ spl245
| def71 ),
inference(avatar_component_clause,[status(thm)],[sdef245]) ).
fof(sdef244,definition,
( spl244
<=> ~ def71 ),
introduced(definition,[new_symbols(naming,[spl244])],[avatar_definition]) ).
cnf(p557,plain,
( ~ spl244
| ~ def71 ),
inference(avatar_component_clause,[status(thm)],[sdef244]) ).
cnf(p802,plain,
( ~ spl245
| ~ spl244
| $false ),
inference(resolution,[status(thm)],[p560,p557]) ).
cnf(sct70,plain,
( ~ spl245
| ~ spl244 ),
inference(avatar_contradiction_clause,[status(thm)],[p802]) ).
fof(sdef247,definition,
( spl247
<=> def72 ),
introduced(definition,[new_symbols(naming,[spl247])],[avatar_definition]) ).
cnf(p564,plain,
( ~ spl247
| def72 ),
inference(avatar_component_clause,[status(thm)],[sdef247]) ).
fof(sdef246,definition,
( spl246
<=> ~ def72 ),
introduced(definition,[new_symbols(naming,[spl246])],[avatar_definition]) ).
cnf(p562,plain,
( ~ spl246
| ~ def72 ),
inference(avatar_component_clause,[status(thm)],[sdef246]) ).
cnf(p809,plain,
( ~ spl247
| ~ spl246
| $false ),
inference(resolution,[status(thm)],[p564,p562]) ).
cnf(sct71,plain,
( ~ spl247
| ~ spl246 ),
inference(avatar_contradiction_clause,[status(thm)],[p809]) ).
fof(sdef250,definition,
( spl250
<=> def73 ),
introduced(definition,[new_symbols(naming,[spl250])],[avatar_definition]) ).
cnf(p571,plain,
( ~ spl250
| def73 ),
inference(avatar_component_clause,[status(thm)],[sdef250]) ).
fof(sdef248,definition,
( spl248
<=> ~ def73 ),
introduced(definition,[new_symbols(naming,[spl248])],[avatar_definition]) ).
cnf(p567,plain,
( ~ spl248
| ~ def73 ),
inference(avatar_component_clause,[status(thm)],[sdef248]) ).
cnf(p810,plain,
( ~ spl250
| ~ spl248
| $false ),
inference(resolution,[status(thm)],[p571,p567]) ).
cnf(sct72,plain,
( ~ spl250
| ~ spl248 ),
inference(avatar_contradiction_clause,[status(thm)],[p810]) ).
fof(sdef252,definition,
( spl252
<=> def74 ),
introduced(definition,[new_symbols(naming,[spl252])],[avatar_definition]) ).
cnf(p576,plain,
( ~ spl252
| def74 ),
inference(avatar_component_clause,[status(thm)],[sdef252]) ).
fof(sdef251,definition,
( spl251
<=> ~ def74 ),
introduced(definition,[new_symbols(naming,[spl251])],[avatar_definition]) ).
cnf(p573,plain,
( ~ spl251
| ~ def74 ),
inference(avatar_component_clause,[status(thm)],[sdef251]) ).
cnf(p811,plain,
( ~ spl252
| ~ spl251
| $false ),
inference(resolution,[status(thm)],[p576,p573]) ).
cnf(sct73,plain,
( ~ spl252
| ~ spl251 ),
inference(avatar_contradiction_clause,[status(thm)],[p811]) ).
fof(sdef254,definition,
( spl254
<=> def75 ),
introduced(definition,[new_symbols(naming,[spl254])],[avatar_definition]) ).
cnf(p580,plain,
( ~ spl254
| def75 ),
inference(avatar_component_clause,[status(thm)],[sdef254]) ).
fof(sdef253,definition,
( spl253
<=> ~ def75 ),
introduced(definition,[new_symbols(naming,[spl253])],[avatar_definition]) ).
cnf(p578,plain,
( ~ spl253
| ~ def75 ),
inference(avatar_component_clause,[status(thm)],[sdef253]) ).
cnf(p812,plain,
( ~ spl254
| ~ spl253
| $false ),
inference(resolution,[status(thm)],[p580,p578]) ).
cnf(sct74,plain,
( ~ spl254
| ~ spl253 ),
inference(avatar_contradiction_clause,[status(thm)],[p812]) ).
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(p634,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(p854,plain,
( ~ spl1
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p634,c96]) ).
cnf(sct75,plain,
( ~ spl1
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p854]) ).
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(p638,plain,
( ~ spl2
| ~ spl0
| e0 = e2 ),
inference(superposition,[status(thm)],[p1,p3]) ).
cnf(c97,plain,
e0 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p870,plain,
( ~ spl2
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p638,c97]) ).
cnf(sct76,plain,
( ~ spl2
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p870]) ).
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(p644,plain,
( ~ spl3
| ~ spl0
| e0 = e3 ),
inference(superposition,[status(thm)],[p1,p4]) ).
cnf(c98,plain,
e0 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p886,plain,
( ~ spl3
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p644,c98]) ).
cnf(sct77,plain,
( ~ spl3
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p886]) ).
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(p654,plain,
( ~ spl5
| ~ spl4
| e0 = e1 ),
inference(superposition,[status(thm)],[p6,p7]) ).
cnf(p909,plain,
( ~ spl5
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p654,c96]) ).
cnf(sct78,plain,
( ~ spl5
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p909]) ).
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(p658,plain,
( ~ spl6
| ~ spl4
| e0 = e2 ),
inference(superposition,[status(thm)],[p6,p8]) ).
cnf(p931,plain,
( ~ spl6
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p658,c97]) ).
cnf(sct79,plain,
( ~ spl6
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p931]) ).
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(p664,plain,
( ~ spl7
| ~ spl4
| e0 = e3 ),
inference(superposition,[status(thm)],[p6,p9]) ).
cnf(p947,plain,
( ~ spl7
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p664,c98]) ).
cnf(sct80,plain,
( ~ spl7
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p947]) ).
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(p674,plain,
( ~ spl9
| ~ spl8
| e0 = e1 ),
inference(superposition,[status(thm)],[p11,p12]) ).
cnf(p968,plain,
( ~ spl9
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p674,c96]) ).
cnf(sct81,plain,
( ~ spl9
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p968]) ).
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(p680,plain,
( ~ spl10
| ~ spl9
| e1 = e2 ),
inference(superposition,[status(thm)],[p12,p13]) ).
cnf(c99,plain,
e1 != e2,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p995,plain,
( ~ spl10
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p680,c99]) ).
cnf(sct82,plain,
( ~ spl10
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p995]) ).
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(p686,plain,
( ~ spl11
| ~ spl9
| e1 = e3 ),
inference(superposition,[status(thm)],[p12,p14]) ).
cnf(c100,plain,
e1 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1016,plain,
( ~ spl11
| ~ spl9
| $false ),
inference(resolution,[status(thm)],[p686,c100]) ).
cnf(sct83,plain,
( ~ spl11
| ~ spl9 ),
inference(avatar_contradiction_clause,[status(thm)],[p1016]) ).
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(p694,plain,
( ~ spl13
| ~ spl12
| e0 = e1 ),
inference(superposition,[status(thm)],[p16,p17]) ).
cnf(p1037,plain,
( ~ spl13
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p694,c96]) ).
cnf(sct84,plain,
( ~ spl13
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1037]) ).
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(p698,plain,
( ~ spl14
| ~ spl12
| e0 = e2 ),
inference(superposition,[status(thm)],[p16,p18]) ).
cnf(p1059,plain,
( ~ spl14
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p698,c97]) ).
cnf(sct85,plain,
( ~ spl14
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1059]) ).
cnf(p700,plain,
( ~ spl14
| ~ spl13
| e1 = e2 ),
inference(superposition,[status(thm)],[p17,p18]) ).
cnf(p1084,plain,
( ~ spl14
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p700,c99]) ).
cnf(sct86,plain,
( ~ spl14
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p1084]) ).
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(p708,plain,
( ~ spl15
| ~ spl14
| e2 = e3 ),
inference(superposition,[status(thm)],[p18,p19]) ).
cnf(c101,plain,
e2 != e3,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p1102,plain,
( ~ spl15
| ~ spl14
| $false ),
inference(resolution,[status(thm)],[p708,c101]) ).
cnf(sct87,plain,
( ~ spl15
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p1102]) ).
cnf(p678,plain,
( ~ spl10
| ~ spl8
| e0 = e2 ),
inference(superposition,[status(thm)],[p11,p13]) ).
cnf(p1131,plain,
( ~ spl10
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p678,c97]) ).
cnf(sct88,plain,
( ~ spl10
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1131]) ).
cnf(p688,plain,
( ~ spl11
| ~ spl10
| e2 = e3 ),
inference(superposition,[status(thm)],[p13,p14]) ).
cnf(p1147,plain,
( ~ spl11
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p688,c101]) ).
cnf(sct89,plain,
( ~ spl11
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p1147]) ).
cnf(p706,plain,
( ~ spl15
| ~ spl13
| e1 = e3 ),
inference(superposition,[status(thm)],[p17,p19]) ).
cnf(p1167,plain,
( ~ spl15
| ~ spl13
| $false ),
inference(resolution,[status(thm)],[p706,c100]) ).
cnf(sct90,plain,
( ~ spl15
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p1167]) ).
cnf(p660,plain,
( ~ spl6
| ~ spl5
| e1 = e2 ),
inference(superposition,[status(thm)],[p7,p8]) ).
cnf(p1202,plain,
( ~ spl6
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p660,c99]) ).
cnf(sct91,plain,
( ~ spl6
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p1202]) ).
cnf(p666,plain,
( ~ spl7
| ~ spl5
| e1 = e3 ),
inference(superposition,[status(thm)],[p7,p9]) ).
cnf(p1231,plain,
( ~ spl7
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p666,c100]) ).
cnf(sct92,plain,
( ~ spl7
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p1231]) ).
cnf(p684,plain,
( ~ spl11
| ~ spl8
| e0 = e3 ),
inference(superposition,[status(thm)],[p11,p14]) ).
cnf(p1254,plain,
( ~ spl11
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p684,c98]) ).
cnf(sct93,plain,
( ~ spl11
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p1254]) ).
cnf(p668,plain,
( ~ spl7
| ~ spl6
| e2 = e3 ),
inference(superposition,[status(thm)],[p8,p9]) ).
cnf(p1283,plain,
( ~ spl7
| ~ spl6
| $false ),
inference(resolution,[status(thm)],[p668,c101]) ).
cnf(sct94,plain,
( ~ spl7
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p1283]) ).
cnf(p704,plain,
( ~ spl15
| ~ spl12
| e0 = e3 ),
inference(superposition,[status(thm)],[p16,p19]) ).
cnf(p1316,plain,
( ~ spl15
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p704,c98]) ).
cnf(sct95,plain,
( ~ spl15
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p1316]) ).
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(p714,plain,
( ~ spl17
| ~ spl16
| e0 = e1 ),
inference(superposition,[status(thm)],[p21,p22]) ).
cnf(p1348,plain,
( ~ spl17
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p714,c96]) ).
cnf(sct96,plain,
( ~ spl17
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p1348]) ).
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(p720,plain,
( ~ spl18
| ~ spl17
| e1 = e2 ),
inference(superposition,[status(thm)],[p22,p23]) ).
cnf(p1377,plain,
( ~ spl18
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p720,c99]) ).
cnf(sct97,plain,
( ~ spl18
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1377]) ).
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(p726,plain,
( ~ spl19
| ~ spl17
| e1 = e3 ),
inference(superposition,[status(thm)],[p22,p24]) ).
cnf(p1403,plain,
( ~ spl19
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p726,c100]) ).
cnf(sct98,plain,
( ~ spl19
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p1403]) ).
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(p734,plain,
( ~ spl21
| ~ spl20
| e0 = e1 ),
inference(superposition,[status(thm)],[p26,p27]) ).
cnf(p1432,plain,
( ~ spl21
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p734,c96]) ).
cnf(sct99,plain,
( ~ spl21
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1432]) ).
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(p738,plain,
( ~ spl22
| ~ spl20
| e0 = e2 ),
inference(superposition,[status(thm)],[p26,p28]) ).
cnf(p1466,plain,
( ~ spl22
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p738,c97]) ).
cnf(sct100,plain,
( ~ spl22
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1466]) ).
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(p744,plain,
( ~ spl23
| ~ spl20
| e0 = e3 ),
inference(superposition,[status(thm)],[p26,p29]) ).
cnf(p1496,plain,
( ~ spl23
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p744,c98]) ).
cnf(sct101,plain,
( ~ spl23
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p1496]) ).
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(p754,plain,
( ~ spl25
| ~ spl24
| e0 = e1 ),
inference(superposition,[status(thm)],[p31,p32]) ).
cnf(p1522,plain,
( ~ spl25
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p754,c96]) ).
cnf(sct102,plain,
( ~ spl25
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p1522]) ).
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(p760,plain,
( ~ spl26
| ~ spl25
| e1 = e2 ),
inference(superposition,[status(thm)],[p32,p33]) ).
cnf(p1546,plain,
( ~ spl26
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p760,c99]) ).
cnf(sct103,plain,
( ~ spl26
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p1546]) ).
cnf(p758,plain,
( ~ spl26
| ~ spl24
| e0 = e2 ),
inference(superposition,[status(thm)],[p31,p33]) ).
cnf(p1579,plain,
( ~ spl26
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p758,c97]) ).
cnf(sct104,plain,
( ~ spl26
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p1579]) ).
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(p768,plain,
( ~ spl27
| ~ spl26
| e2 = e3 ),
inference(superposition,[status(thm)],[p33,p34]) ).
cnf(p1613,plain,
( ~ spl27
| ~ spl26
| $false ),
inference(resolution,[status(thm)],[p768,c101]) ).
cnf(sct105,plain,
( ~ spl27
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p1613]) ).
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(p774,plain,
( ~ spl29
| ~ spl28
| e0 = e1 ),
inference(superposition,[status(thm)],[p36,p37]) ).
cnf(p1631,plain,
( ~ spl29
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p774,c96]) ).
cnf(sct106,plain,
( ~ spl29
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p1631]) ).
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(p780,plain,
( ~ spl30
| ~ spl29
| e1 = e2 ),
inference(superposition,[status(thm)],[p37,p38]) ).
cnf(p1656,plain,
( ~ spl30
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p780,c99]) ).
cnf(sct107,plain,
( ~ spl30
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p1656]) ).
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(p786,plain,
( ~ spl31
| ~ spl29
| e1 = e3 ),
inference(superposition,[status(thm)],[p37,p39]) ).
cnf(p1681,plain,
( ~ spl31
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p786,c100]) ).
cnf(sct108,plain,
( ~ spl31
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p1681]) ).
cnf(p778,plain,
( ~ spl30
| ~ spl28
| e0 = e2 ),
inference(superposition,[status(thm)],[p36,p38]) ).
cnf(p1714,plain,
( ~ spl30
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p778,c97]) ).
cnf(sct109,plain,
( ~ spl30
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p1714]) ).
cnf(p788,plain,
( ~ spl31
| ~ spl30
| e2 = e3 ),
inference(superposition,[status(thm)],[p38,p39]) ).
cnf(p1744,plain,
( ~ spl31
| ~ spl30
| $false ),
inference(resolution,[status(thm)],[p788,c101]) ).
cnf(sct110,plain,
( ~ spl31
| ~ spl30 ),
inference(avatar_contradiction_clause,[status(thm)],[p1744]) ).
cnf(p784,plain,
( ~ spl31
| ~ spl28
| e0 = e3 ),
inference(superposition,[status(thm)],[p36,p39]) ).
cnf(p1774,plain,
( ~ spl31
| ~ spl28
| $false ),
inference(resolution,[status(thm)],[p784,c98]) ).
cnf(sct111,plain,
( ~ spl31
| ~ spl28 ),
inference(avatar_contradiction_clause,[status(thm)],[p1774]) ).
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(p794,plain,
( ~ spl33
| ~ spl32
| e0 = e1 ),
inference(superposition,[status(thm)],[p41,p42]) ).
cnf(p1793,plain,
( ~ spl33
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p794,c96]) ).
cnf(sct112,plain,
( ~ spl33
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p1793]) ).
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(p800,plain,
( ~ spl34
| ~ spl33
| e1 = e2 ),
inference(superposition,[status(thm)],[p42,p43]) ).
cnf(p1817,plain,
( ~ spl34
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p800,c99]) ).
cnf(sct113,plain,
( ~ spl34
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p1817]) ).
cnf(p798,plain,
( ~ spl34
| ~ spl32
| e0 = e2 ),
inference(superposition,[status(thm)],[p41,p43]) ).
cnf(p1849,plain,
( ~ spl34
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p798,c97]) ).
cnf(sct114,plain,
( ~ spl34
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p1849]) ).
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(p808,plain,
( ~ spl35
| ~ spl34
| e2 = e3 ),
inference(superposition,[status(thm)],[p43,p44]) ).
cnf(p1871,plain,
( ~ spl35
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p808,c101]) ).
cnf(sct115,plain,
( ~ spl35
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p1871]) ).
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(p814,plain,
( ~ spl37
| ~ spl36
| e0 = e1 ),
inference(superposition,[status(thm)],[p46,p47]) ).
cnf(p1896,plain,
( ~ spl37
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p814,c96]) ).
cnf(sct116,plain,
( ~ spl37
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p1896]) ).
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(p818,plain,
( ~ spl38
| ~ spl37
| e1 = e2 ),
inference(superposition,[status(thm)],[p47,p48]) ).
cnf(p1918,plain,
( ~ spl38
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p818,c99]) ).
cnf(sct117,plain,
( ~ spl38
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p1918]) ).
cnf(p816,plain,
( ~ spl38
| ~ spl36
| e0 = e2 ),
inference(superposition,[status(thm)],[p46,p48]) ).
cnf(p1944,plain,
( ~ spl38
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p816,c97]) ).
cnf(sct118,plain,
( ~ spl38
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p1944]) ).
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(p824,plain,
( ~ spl39
| ~ spl38
| e2 = e3 ),
inference(superposition,[status(thm)],[p48,p49]) ).
cnf(p1967,plain,
( ~ spl39
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p824,c101]) ).
cnf(sct119,plain,
( ~ spl39
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p1967]) ).
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(p828,plain,
( ~ spl41
| ~ spl40
| e0 = e1 ),
inference(superposition,[status(thm)],[p51,p52]) ).
cnf(p1986,plain,
( ~ spl41
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p828,c96]) ).
cnf(sct120,plain,
( ~ spl41
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p1986]) ).
cnf(p822,plain,
( ~ spl39
| ~ spl37
| e1 = e3 ),
inference(superposition,[status(thm)],[p47,p49]) ).
cnf(p2022,plain,
( ~ spl39
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p822,c100]) ).
cnf(sct121,plain,
( ~ spl39
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p2022]) ).
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(p832,plain,
( ~ spl42
| ~ spl40
| e0 = e2 ),
inference(superposition,[status(thm)],[p51,p53]) ).
cnf(p2047,plain,
( ~ spl42
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p832,c97]) ).
cnf(sct122,plain,
( ~ spl42
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2047]) ).
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(p872,plain,
( ~ spl43
| ~ spl40
| e0 = e3 ),
inference(superposition,[status(thm)],[p51,p54]) ).
cnf(p2086,plain,
( ~ spl43
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p872,c98]) ).
cnf(sct123,plain,
( ~ spl43
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p2086]) ).
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(p933,plain,
( ~ spl45
| ~ spl44
| e0 = e1 ),
inference(superposition,[status(thm)],[p56,p57]) ).
cnf(p2105,plain,
( ~ spl45
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p933,c96]) ).
cnf(sct124,plain,
( ~ spl45
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p2105]) ).
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(p970,plain,
( ~ spl46
| ~ spl44
| e0 = e2 ),
inference(superposition,[status(thm)],[p56,p58]) ).
cnf(p2123,plain,
( ~ spl46
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p970,c97]) ).
cnf(sct125,plain,
( ~ spl46
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p2123]) ).
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(p997,plain,
( ~ spl47
| ~ spl44
| e0 = e3 ),
inference(superposition,[status(thm)],[p56,p59]) ).
cnf(p2157,plain,
( ~ spl47
| ~ spl44
| $false ),
inference(resolution,[status(thm)],[p997,c98]) ).
cnf(sct126,plain,
( ~ spl47
| ~ spl44 ),
inference(avatar_contradiction_clause,[status(thm)],[p2157]) ).
cnf(p972,plain,
( ~ spl46
| ~ spl45
| e1 = e2 ),
inference(superposition,[status(thm)],[p57,p58]) ).
cnf(p2176,plain,
( ~ spl46
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p972,c99]) ).
cnf(sct127,plain,
( ~ spl46
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p2176]) ).
cnf(p999,plain,
( ~ spl47
| ~ spl45
| e1 = e3 ),
inference(superposition,[status(thm)],[p57,p59]) ).
cnf(p2210,plain,
( ~ spl47
| ~ spl45
| $false ),
inference(resolution,[status(thm)],[p999,c100]) ).
cnf(sct128,plain,
( ~ spl47
| ~ spl45 ),
inference(avatar_contradiction_clause,[status(thm)],[p2210]) ).
cnf(p1001,plain,
( ~ spl47
| ~ spl46
| e2 = e3 ),
inference(superposition,[status(thm)],[p58,p59]) ).
cnf(p2237,plain,
( ~ spl47
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p1001,c101]) ).
cnf(sct129,plain,
( ~ spl47
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p2237]) ).
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(p1061,plain,
( ~ spl49
| ~ spl48
| e0 = e1 ),
inference(superposition,[status(thm)],[p61,p62]) ).
cnf(p2255,plain,
( ~ spl49
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p1061,c96]) ).
cnf(sct130,plain,
( ~ spl49
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p2255]) ).
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(p1088,plain,
( ~ spl50
| ~ spl49
| e1 = e2 ),
inference(superposition,[status(thm)],[p62,p63]) ).
cnf(p2275,plain,
( ~ spl50
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p1088,c99]) ).
cnf(sct131,plain,
( ~ spl50
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p2275]) ).
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(p1108,plain,
( ~ spl51
| ~ spl50
| e2 = e3 ),
inference(superposition,[status(thm)],[p63,p64]) ).
cnf(p2296,plain,
( ~ spl51
| ~ spl50
| $false ),
inference(resolution,[status(thm)],[p1108,c101]) ).
cnf(sct132,plain,
( ~ spl51
| ~ spl50 ),
inference(avatar_contradiction_clause,[status(thm)],[p2296]) ).
cnf(p1106,plain,
( ~ spl51
| ~ spl49
| e1 = e3 ),
inference(superposition,[status(thm)],[p62,p64]) ).
cnf(p2323,plain,
( ~ spl51
| ~ spl49
| $false ),
inference(resolution,[status(thm)],[p1106,c100]) ).
cnf(sct133,plain,
( ~ spl51
| ~ spl49 ),
inference(avatar_contradiction_clause,[status(thm)],[p2323]) ).
cnf(p1104,plain,
( ~ spl51
| ~ spl48
| e0 = e3 ),
inference(superposition,[status(thm)],[p61,p64]) ).
cnf(p2352,plain,
( ~ spl51
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p1104,c98]) ).
cnf(sct134,plain,
( ~ spl51
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p2352]) ).
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(p1149,plain,
( ~ spl53
| ~ spl52
| e0 = e1 ),
inference(superposition,[status(thm)],[p66,p67]) ).
cnf(p2370,plain,
( ~ spl53
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1149,c96]) ).
cnf(sct135,plain,
( ~ spl53
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p2370]) ).
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(p1171,plain,
( ~ spl54
| ~ spl53
| e1 = e2 ),
inference(superposition,[status(thm)],[p67,p68]) ).
cnf(p2383,plain,
( ~ spl54
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p1171,c99]) ).
cnf(sct136,plain,
( ~ spl54
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p2383]) ).
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(p1177,plain,
( ~ spl55
| ~ spl54
| e2 = e3 ),
inference(superposition,[status(thm)],[p68,p69]) ).
cnf(p2403,plain,
( ~ spl55
| ~ spl54
| $false ),
inference(resolution,[status(thm)],[p1177,c101]) ).
cnf(sct137,plain,
( ~ spl55
| ~ spl54 ),
inference(avatar_contradiction_clause,[status(thm)],[p2403]) ).
cnf(p1175,plain,
( ~ spl55
| ~ spl53
| e1 = e3 ),
inference(superposition,[status(thm)],[p67,p69]) ).
cnf(p2426,plain,
( ~ spl55
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p1175,c100]) ).
cnf(sct138,plain,
( ~ spl55
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p2426]) ).
cnf(p1173,plain,
( ~ spl55
| ~ spl52
| e0 = e3 ),
inference(superposition,[status(thm)],[p66,p69]) ).
cnf(p2454,plain,
( ~ spl55
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1173,c98]) ).
cnf(sct139,plain,
( ~ spl55
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p2454]) ).
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(p1204,plain,
( ~ spl57
| ~ spl56
| e0 = e1 ),
inference(superposition,[status(thm)],[p71,p72]) ).
cnf(p2466,plain,
( ~ spl57
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1204,c96]) ).
cnf(sct140,plain,
( ~ spl57
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p2466]) ).
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(p1229,plain,
( ~ spl58
| ~ spl57
| e1 = e2 ),
inference(superposition,[status(thm)],[p72,p73]) ).
cnf(p2484,plain,
( ~ spl58
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p1229,c99]) ).
cnf(sct141,plain,
( ~ spl58
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p2484]) ).
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(p1260,plain,
( ~ spl59
| ~ spl58
| e2 = e3 ),
inference(superposition,[status(thm)],[p73,p74]) ).
cnf(p2501,plain,
( ~ spl59
| ~ spl58
| $false ),
inference(resolution,[status(thm)],[p1260,c101]) ).
cnf(sct142,plain,
( ~ spl59
| ~ spl58 ),
inference(avatar_contradiction_clause,[status(thm)],[p2501]) ).
cnf(p1258,plain,
( ~ spl59
| ~ spl57
| e1 = e3 ),
inference(superposition,[status(thm)],[p72,p74]) ).
cnf(p2524,plain,
( ~ spl59
| ~ spl57
| $false ),
inference(resolution,[status(thm)],[p1258,c100]) ).
cnf(sct143,plain,
( ~ spl59
| ~ spl57 ),
inference(avatar_contradiction_clause,[status(thm)],[p2524]) ).
cnf(p1256,plain,
( ~ spl59
| ~ spl56
| e0 = e3 ),
inference(superposition,[status(thm)],[p71,p74]) ).
cnf(p2549,plain,
( ~ spl59
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1256,c98]) ).
cnf(sct144,plain,
( ~ spl59
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p2549]) ).
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(p1285,plain,
( ~ spl61
| ~ spl60
| e0 = e1 ),
inference(superposition,[status(thm)],[p76,p77]) ).
cnf(p2563,plain,
( ~ spl61
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1285,c96]) ).
cnf(sct145,plain,
( ~ spl61
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p2563]) ).
fof(sdef160,definition,
( spl160
<=> ~ def34 ),
introduced(definition,[new_symbols(naming,[spl160])],[avatar_definition]) ).
cnf(p365,plain,
( ~ spl160
| ~ def34 ),
inference(avatar_component_clause,[status(thm)],[sdef160]) ).
fof(f4,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e2) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e1) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f4_nnf,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e2) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e1) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e2,e2) != e2
& op(e2,e3) = e3
& op(e3,e2) = e3 )
| ( op(e1,e1) != e1
& op(e1,e3) = e3
& op(e3,e1) = e3 )
| ( op(e0,e0) != e0
& op(e0,e3) = e3
& op(e3,e0) = e3 )
| ( op(e3,e3) != e3
& op(e3,e2) = e2
& op(e2,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e1,e1) != e1
& op(e1,e2) = e2
& op(e2,e1) = e2 )
| ( op(e0,e0) != e0
& op(e0,e2) = e2
& op(e2,e0) = e2 )
| ( op(e3,e3) != e3
& op(e3,e1) = e1
& op(e1,e3) = e1 )
| ( op(e2,e2) != e2
& op(e2,e1) = e1
& op(e1,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e0,e0) != e0
& op(e0,e1) = e1
& op(e1,e0) = e1 )
| ( op(e3,e3) != e3
& op(e3,e0) = e0
& op(e0,e3) = e0 )
| ( op(e2,e2) != e2
& op(e2,e0) = e0
& op(e0,e2) = e0 )
| ( op(e1,e1) != e1
& op(e1,e0) = e0
& op(e0,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c348,plain,
( def34
| ~ 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])],[f4_sk]) ).
cnf(c351,plain,
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])],[f4_sk]) ).
cnf(p829,plain,
def34,
inference(resolution,[status(thm)],[c348,c351]) ).
cnf(p2564,plain,
( ~ spl160
| $false ),
inference(resolution,[status(thm)],[p365,p829]) ).
cnf(sct146,plain,
~ spl160,
inference(avatar_contradiction_clause,[status(thm)],[p2564]) ).
cnf(p740,plain,
( ~ spl22
| ~ spl21
| e1 = e2 ),
inference(superposition,[status(thm)],[p27,p28]) ).
cnf(p2596,plain,
( ~ spl22
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p740,c99]) ).
cnf(sct147,plain,
( ~ spl22
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2596]) ).
cnf(p746,plain,
( ~ spl23
| ~ spl21
| e1 = e3 ),
inference(superposition,[status(thm)],[p27,p29]) ).
cnf(p2621,plain,
( ~ spl23
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p746,c100]) ).
cnf(sct148,plain,
( ~ spl23
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2621]) ).
cnf(p764,plain,
( ~ spl27
| ~ spl24
| e0 = e3 ),
inference(superposition,[status(thm)],[p31,p34]) ).
cnf(p2652,plain,
( ~ spl27
| ~ spl24
| $false ),
inference(resolution,[status(thm)],[p764,c98]) ).
cnf(sct149,plain,
( ~ spl27
| ~ spl24 ),
inference(avatar_contradiction_clause,[status(thm)],[p2652]) ).
cnf(p766,plain,
( ~ spl27
| ~ spl25
| e1 = e3 ),
inference(superposition,[status(thm)],[p32,p34]) ).
cnf(p2679,plain,
( ~ spl27
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p766,c100]) ).
cnf(sct150,plain,
( ~ spl27
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p2679]) ).
cnf(p748,plain,
( ~ spl23
| ~ spl22
| e2 = e3 ),
inference(superposition,[status(thm)],[p28,p29]) ).
cnf(p2702,plain,
( ~ spl23
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p748,c101]) ).
cnf(sct151,plain,
( ~ spl23
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p2702]) ).
cnf(p834,plain,
( ~ spl42
| ~ spl41
| e1 = e2 ),
inference(superposition,[status(thm)],[p52,p53]) ).
cnf(p2727,plain,
( ~ spl42
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p834,c99]) ).
cnf(sct152,plain,
( ~ spl42
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p2727]) ).
cnf(p874,plain,
( ~ spl43
| ~ spl41
| e1 = e3 ),
inference(superposition,[status(thm)],[p52,p54]) ).
cnf(p2755,plain,
( ~ spl43
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p874,c100]) ).
cnf(sct153,plain,
( ~ spl43
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p2755]) ).
cnf(p820,plain,
( ~ spl39
| ~ spl36
| e0 = e3 ),
inference(superposition,[status(thm)],[p46,p49]) ).
cnf(p2787,plain,
( ~ spl39
| ~ spl36
| $false ),
inference(resolution,[status(thm)],[p820,c98]) ).
cnf(sct154,plain,
( ~ spl39
| ~ spl36 ),
inference(avatar_contradiction_clause,[status(thm)],[p2787]) ).
cnf(p876,plain,
( ~ spl43
| ~ spl42
| e2 = e3 ),
inference(superposition,[status(thm)],[p53,p54]) ).
cnf(p2806,plain,
( ~ spl43
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p876,c101]) ).
cnf(sct155,plain,
( ~ spl43
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p2806]) ).
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(p2812,plain,
( ~ spl65
| ~ spl0
| $false ),
inference(resolution,[status(thm)],[p169,p1]) ).
cnf(sct156,plain,
( ~ spl65
| ~ spl0 ),
inference(avatar_contradiction_clause,[status(thm)],[p2812]) ).
fof(sdef67,definition,
( spl67
<=> op(e1,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl67])],[avatar_definition]) ).
cnf(p172,plain,
( ~ spl67
| op(e1,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef67]) ).
cnf(p2816,plain,
( ~ spl67
| ~ spl21
| $false ),
inference(resolution,[status(thm)],[p172,p27]) ).
cnf(sct157,plain,
( ~ spl67
| ~ spl21 ),
inference(avatar_contradiction_clause,[status(thm)],[p2816]) ).
fof(sdef70,definition,
( spl70
<=> op(e2,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl70])],[avatar_definition]) ).
cnf(p178,plain,
( ~ spl70
| op(e2,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef70]) ).
cnf(p2817,plain,
( ~ spl70
| ~ spl42
| $false ),
inference(resolution,[status(thm)],[p178,p53]) ).
cnf(sct158,plain,
( ~ spl70
| ~ spl42 ),
inference(avatar_contradiction_clause,[status(thm)],[p2817]) ).
fof(sdef73,definition,
( spl73
<=> op(e3,e3) != e3 ),
introduced(definition,[new_symbols(naming,[spl73])],[avatar_definition]) ).
cnf(p184,plain,
( ~ spl73
| op(e3,e3) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef73]) ).
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(p2818,plain,
( ~ spl73
| ~ spl63
| $false ),
inference(resolution,[status(thm)],[p184,p79]) ).
cnf(sct159,plain,
( ~ spl73
| ~ spl63 ),
inference(avatar_contradiction_clause,[status(thm)],[p2818]) ).
fof(sdef79,definition,
( spl79
<=> op(e0,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl79])],[avatar_definition]) ).
cnf(p197,plain,
( ~ spl79
| op(e0,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef79]) ).
cnf(p2819,plain,
( ~ spl79
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p197,p2]) ).
cnf(sct160,plain,
( ~ spl79
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2819]) ).
fof(sdef81,definition,
( spl81
<=> op(e0,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl81])],[avatar_definition]) ).
cnf(p201,plain,
( ~ spl81
| op(e0,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef81]) ).
cnf(p2820,plain,
( ~ spl81
| ~ spl4
| $false ),
inference(resolution,[status(thm)],[p201,p6]) ).
cnf(sct161,plain,
( ~ spl81
| ~ spl4 ),
inference(avatar_contradiction_clause,[status(thm)],[p2820]) ).
fof(sdef85,definition,
( spl85
<=> op(e0,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl85])],[avatar_definition]) ).
cnf(p209,plain,
( ~ spl85
| op(e0,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef85]) ).
cnf(p2821,plain,
( ~ spl85
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p209,p3]) ).
cnf(sct162,plain,
( ~ spl85
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p2821]) ).
fof(sdef87,definition,
( spl87
<=> op(e0,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl87])],[avatar_definition]) ).
cnf(p213,plain,
( ~ spl87
| op(e0,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef87]) ).
cnf(p2822,plain,
( ~ spl87
| ~ spl8
| $false ),
inference(resolution,[status(thm)],[p213,p11]) ).
cnf(sct163,plain,
( ~ spl87
| ~ spl8 ),
inference(avatar_contradiction_clause,[status(thm)],[p2822]) ).
cnf(p640,plain,
( ~ spl2
| ~ spl1
| e1 = e2 ),
inference(superposition,[status(thm)],[p2,p3]) ).
cnf(p2839,plain,
( ~ spl2
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p640,c99]) ).
cnf(sct164,plain,
( ~ spl2
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2839]) ).
fof(sdef91,definition,
( spl91
<=> op(e0,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl91])],[avatar_definition]) ).
cnf(p221,plain,
( ~ spl91
| op(e0,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef91]) ).
cnf(p2840,plain,
( ~ spl91
| ~ spl3
| $false ),
inference(resolution,[status(thm)],[p221,p4]) ).
cnf(sct165,plain,
( ~ spl91
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p2840]) ).
cnf(p646,plain,
( ~ spl3
| ~ spl1
| e1 = e3 ),
inference(superposition,[status(thm)],[p2,p4]) ).
cnf(p2866,plain,
( ~ spl3
| ~ spl1
| $false ),
inference(resolution,[status(thm)],[p646,c100]) ).
cnf(sct166,plain,
( ~ spl3
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p2866]) ).
cnf(p718,plain,
( ~ spl18
| ~ spl16
| e0 = e2 ),
inference(superposition,[status(thm)],[p21,p23]) ).
cnf(p2891,plain,
( ~ spl18
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p718,c97]) ).
cnf(sct167,plain,
( ~ spl18
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2891]) ).
cnf(p724,plain,
( ~ spl19
| ~ spl16
| e0 = e3 ),
inference(superposition,[status(thm)],[p21,p24]) ).
cnf(p2924,plain,
( ~ spl19
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p724,c98]) ).
cnf(sct168,plain,
( ~ spl19
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p2924]) ).
cnf(p728,plain,
( ~ spl19
| ~ spl18
| e2 = e3 ),
inference(superposition,[status(thm)],[p23,p24]) ).
cnf(p2944,plain,
( ~ spl19
| ~ spl18
| $false ),
inference(resolution,[status(thm)],[p728,c101]) ).
cnf(sct169,plain,
( ~ spl19
| ~ spl18 ),
inference(avatar_contradiction_clause,[status(thm)],[p2944]) ).
cnf(p804,plain,
( ~ spl35
| ~ spl32
| e0 = e3 ),
inference(superposition,[status(thm)],[p41,p44]) ).
cnf(p2974,plain,
( ~ spl35
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p804,c98]) ).
cnf(sct170,plain,
( ~ spl35
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p2974]) ).
cnf(p1227,plain,
( ~ spl58
| ~ spl56
| e0 = e2 ),
inference(superposition,[status(thm)],[p71,p73]) ).
cnf(p3000,plain,
( ~ spl58
| ~ spl56
| $false ),
inference(resolution,[status(thm)],[p1227,c97]) ).
cnf(sct171,plain,
( ~ spl58
| ~ spl56 ),
inference(avatar_contradiction_clause,[status(thm)],[p3000]) ).
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(p1289,plain,
( ~ spl62
| ~ spl61
| e1 = e2 ),
inference(superposition,[status(thm)],[p77,p78]) ).
cnf(p3020,plain,
( ~ spl62
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p1289,c99]) ).
cnf(sct172,plain,
( ~ spl62
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p3020]) ).
cnf(p806,plain,
( ~ spl35
| ~ spl33
| e1 = e3 ),
inference(superposition,[status(thm)],[p42,p44]) ).
cnf(p3048,plain,
( ~ spl35
| ~ spl33
| $false ),
inference(resolution,[status(thm)],[p806,c100]) ).
cnf(sct173,plain,
( ~ spl35
| ~ spl33 ),
inference(avatar_contradiction_clause,[status(thm)],[p3048]) ).
cnf(p1086,plain,
( ~ spl50
| ~ spl48
| e0 = e2 ),
inference(superposition,[status(thm)],[p61,p63]) ).
cnf(p3071,plain,
( ~ spl50
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p1086,c97]) ).
cnf(sct174,plain,
( ~ spl50
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p3071]) ).
cnf(p1320,plain,
( ~ spl63
| ~ spl61
| e1 = e3 ),
inference(superposition,[status(thm)],[p77,p79]) ).
cnf(p3101,plain,
( ~ spl63
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p1320,c100]) ).
cnf(sct175,plain,
( ~ spl63
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p3101]) ).
fof(sdef125,definition,
( spl125
<=> op(e2,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl125])],[avatar_definition]) ).
cnf(p291,plain,
( ~ spl125
| op(e2,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef125]) ).
cnf(p3103,plain,
( ~ spl125
| ~ spl41
| $false ),
inference(resolution,[status(thm)],[p291,p52]) ).
cnf(sct176,plain,
( ~ spl125
| ~ spl41 ),
inference(avatar_contradiction_clause,[status(thm)],[p3103]) ).
fof(sdef127,definition,
( spl127
<=> op(e2,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl127])],[avatar_definition]) ).
cnf(p295,plain,
( ~ spl127
| op(e2,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef127]) ).
cnf(p3110,plain,
( ~ spl127
| ~ spl38
| $false ),
inference(resolution,[status(thm)],[p295,p48]) ).
cnf(sct177,plain,
( ~ spl127
| ~ spl38 ),
inference(avatar_contradiction_clause,[status(thm)],[p3110]) ).
fof(sdef147,definition,
( spl147
<=> op(e3,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl147])],[avatar_definition]) ).
cnf(p337,plain,
( ~ spl147
| op(e3,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef147]) ).
cnf(p3163,plain,
( ~ spl147
| ~ spl61
| $false ),
inference(resolution,[status(thm)],[p337,p77]) ).
cnf(sct178,plain,
( ~ spl147
| ~ spl61 ),
inference(avatar_contradiction_clause,[status(thm)],[p3163]) ).
fof(sdef149,definition,
( spl149
<=> op(e3,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl149])],[avatar_definition]) ).
cnf(p341,plain,
( ~ spl149
| op(e3,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef149]) ).
cnf(p3164,plain,
( ~ spl149
| ~ spl55
| $false ),
inference(resolution,[status(thm)],[p341,p69]) ).
cnf(sct179,plain,
( ~ spl149
| ~ spl55 ),
inference(avatar_contradiction_clause,[status(thm)],[p3164]) ).
fof(sdef167,definition,
( spl167
<=> op(e1,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl167])],[avatar_definition]) ).
cnf(p382,plain,
( ~ spl167
| op(e1,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef167]) ).
cnf(p3165,plain,
( ~ spl167
| ~ spl16
| $false ),
inference(resolution,[status(thm)],[p382,p21]) ).
cnf(sct180,plain,
( ~ spl167
| ~ spl16 ),
inference(avatar_contradiction_clause,[status(thm)],[p3165]) ).
fof(sdef215,definition,
( spl215
<=> op(e0,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl215])],[avatar_definition]) ).
cnf(p492,plain,
( ~ spl215
| op(e0,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef215]) ).
cnf(p3170,plain,
( ~ spl215
| ~ spl10
| $false ),
inference(resolution,[status(thm)],[p492,p13]) ).
cnf(sct181,plain,
( ~ spl215
| ~ spl10 ),
inference(avatar_contradiction_clause,[status(thm)],[p3170]) ).
fof(sdef242,definition,
( spl242
<=> op(e0,e3) != e3 ),
introduced(definition,[new_symbols(naming,[spl242])],[avatar_definition]) ).
cnf(p554,plain,
( ~ spl242
| op(e0,e3) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef242]) ).
cnf(p3172,plain,
( ~ spl242
| ~ spl15
| $false ),
inference(resolution,[status(thm)],[p554,p19]) ).
cnf(sct182,plain,
( ~ spl242
| ~ spl15 ),
inference(avatar_contradiction_clause,[status(thm)],[p3172]) ).
cnf(p1287,plain,
( ~ spl62
| ~ spl60
| e0 = e2 ),
inference(superposition,[status(thm)],[p76,p78]) ).
cnf(p3296,plain,
( ~ spl62
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1287,c97]) ).
cnf(sct183,plain,
( ~ spl62
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p3296]) ).
cnf(p1318,plain,
( ~ spl63
| ~ spl60
| e0 = e3 ),
inference(superposition,[status(thm)],[p76,p79]) ).
cnf(p3371,plain,
( ~ spl63
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p1318,c98]) ).
cnf(sct184,plain,
( ~ spl63
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p3371]) ).
fof(sdef121,definition,
( spl121
<=> op(e2,e0) != e2 ),
introduced(definition,[new_symbols(naming,[spl121])],[avatar_definition]) ).
cnf(p283,plain,
( ~ spl121
| op(e2,e0) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef121]) ).
cnf(p3427,plain,
( ~ spl121
| ~ spl34
| $false ),
inference(resolution,[status(thm)],[p43,p283]) ).
cnf(sct185,plain,
( ~ spl121
| ~ spl34 ),
inference(avatar_contradiction_clause,[status(thm)],[p3427]) ).
fof(sdef119,definition,
( spl119
<=> op(e2,e2) != e0 ),
introduced(definition,[new_symbols(naming,[spl119])],[avatar_definition]) ).
cnf(p279,plain,
( ~ spl119
| op(e2,e2) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef119]) ).
cnf(p3432,plain,
( ~ spl119
| ~ spl40
| $false ),
inference(resolution,[status(thm)],[p51,p279]) ).
cnf(sct186,plain,
( ~ spl119
| ~ spl40 ),
inference(avatar_contradiction_clause,[status(thm)],[p3432]) ).
fof(sdef143,definition,
( spl143
<=> op(e3,e0) != e3 ),
introduced(definition,[new_symbols(naming,[spl143])],[avatar_definition]) ).
cnf(p329,plain,
( ~ spl143
| op(e3,e0) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef143]) ).
cnf(p3446,plain,
( ~ spl143
| ~ spl51
| $false ),
inference(resolution,[status(thm)],[p64,p329]) ).
cnf(sct187,plain,
( ~ spl143
| ~ spl51 ),
inference(avatar_contradiction_clause,[status(thm)],[p3446]) ).
fof(sdef141,definition,
( spl141
<=> op(e3,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl141])],[avatar_definition]) ).
cnf(p325,plain,
( ~ spl141
| op(e3,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef141]) ).
cnf(p3459,plain,
( ~ spl141
| ~ spl60
| $false ),
inference(resolution,[status(thm)],[p76,p325]) ).
cnf(sct188,plain,
( ~ spl141
| ~ spl60 ),
inference(avatar_contradiction_clause,[status(thm)],[p3459]) ).
fof(f6,axiom,
~ ( e3 = op(op(op(e2,e2),op(e2,e2)),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f6_nnf,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c353,plain,
( e3 != op(op(op(e2,e2),op(e2,e2)),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p3434,plain,
( ~ spl40
| e3 != op(op(e0,e0),e2)
| e1 != op(e0,e0)
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,c353]) ).
cnf(p3498,plain,
( ~ spl40
| e3 != op(op(e0,e0),e2)
| e1 != op(e0,e0) ),
inference(equality_resolution,[status(thm)],[p3434]) ).
cnf(p3499,plain,
( ~ spl40
| ~ spl1
| e3 != op(e1,e2)
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,p3498]) ).
cnf(p3500,plain,
( ~ spl40
| ~ spl1
| e3 != op(e1,e2) ),
inference(equality_resolution,[status(thm)],[p3499]) ).
cnf(p3501,plain,
( ~ spl40
| ~ spl27
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p34,p3500]) ).
cnf(p3502,plain,
( ~ spl40
| ~ spl27
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3501]) ).
cnf(sct189,plain,
( ~ spl40
| ~ spl27
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3502]) ).
cnf(c343,plain,
( op(e3,e3) != e3
| ~ 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])],[f4_sk]) ).
cnf(c345,plain,
( def80
| def78
| ~ 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])],[f4_sk]) ).
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])],[f4_sk]) ).
cnf(p830,plain,
def81,
inference(resolution,[status(thm)],[c349,c351]) ).
cnf(p3173,plain,
( def80
| def78 ),
inference(resolution,[status(thm)],[c345,p830]) ).
cnf(p3182,plain,
( def78
| op(e3,e3) != e3 ),
inference(resolution,[status(thm)],[c343,p3173]) ).
cnf(c339,plain,
( op(e3,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(c342,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])],[f4_sk]) ).
cnf(p3174,plain,
( def79
| def78 ),
inference(resolution,[status(thm)],[p3173,c342]) ).
cnf(p3176,plain,
( def78
| op(e3,e3) = e3 ),
inference(resolution,[status(thm)],[c339,p3174]) ).
cnf(p3486,plain,
( def78
| def78 ),
inference(resolution,[status(thm)],[p3182,p3176]) ).
cnf(p3488,plain,
def78,
inference(factoring,[status(thm)],[p3486]) ).
cnf(c336,plain,
( def77
| def75
| ~ 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])],[f4_sk]) ).
cnf(p3489,plain,
( def77
| def75 ),
inference(resolution,[status(thm)],[p3488,c336]) ).
cnf(c333,plain,
( def76
| ~ 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])],[f4_sk]) ).
cnf(p3491,plain,
( def76
| def75 ),
inference(resolution,[status(thm)],[p3489,c333]) ).
fof(sdef255,definition,
( spl255
<=> ~ def76 ),
introduced(definition,[new_symbols(naming,[spl255])],[avatar_definition]) ).
cnf(p583,plain,
( ~ spl255
| ~ def76 ),
inference(avatar_component_clause,[status(thm)],[sdef255]) ).
cnf(p3493,plain,
( ~ spl255
| def75 ),
inference(resolution,[status(thm)],[p3491,p583]) ).
cnf(p3504,plain,
( ~ spl255
| ~ spl253
| $false ),
inference(resolution,[status(thm)],[p578,p3493]) ).
cnf(sct190,plain,
( ~ spl255
| ~ spl253 ),
inference(avatar_contradiction_clause,[status(thm)],[p3504]) ).
fof(sdef222,definition,
( spl222
<=> op(e1,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl222])],[avatar_definition]) ).
cnf(p508,plain,
( ~ spl222
| op(e1,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef222]) ).
cnf(p3509,plain,
( ~ spl222
| ~ spl26
| $false ),
inference(resolution,[status(thm)],[p33,p508]) ).
cnf(sct191,plain,
( ~ spl222
| ~ spl26 ),
inference(avatar_contradiction_clause,[status(thm)],[p3509]) ).
cnf(p1169,plain,
( ~ spl54
| ~ spl52
| e0 = e2 ),
inference(superposition,[status(thm)],[p66,p68]) ).
cnf(p3550,plain,
( ~ spl54
| ~ spl52
| $false ),
inference(resolution,[status(thm)],[p1169,c97]) ).
cnf(sct192,plain,
( ~ spl54
| ~ spl52 ),
inference(avatar_contradiction_clause,[status(thm)],[p3550]) ).
cnf(p1322,plain,
( ~ spl63
| ~ spl62
| e2 = e3 ),
inference(superposition,[status(thm)],[p78,p79]) ).
cnf(p3568,plain,
( ~ spl63
| ~ spl62
| $false ),
inference(resolution,[status(thm)],[p1322,c101]) ).
cnf(sct193,plain,
( ~ spl63
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p3568]) ).
fof(sdef153,definition,
( spl153
<=> op(e3,e3) != e2 ),
introduced(definition,[new_symbols(naming,[spl153])],[avatar_definition]) ).
cnf(p349,plain,
( ~ spl153
| op(e3,e3) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef153]) ).
cnf(p3607,plain,
( ~ spl153
| ~ spl62
| $false ),
inference(resolution,[status(thm)],[p78,p349]) ).
cnf(sct194,plain,
( ~ spl153
| ~ spl62 ),
inference(avatar_contradiction_clause,[status(thm)],[p3607]) ).
fof(sdef174,definition,
( spl174
<=> op(e2,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl174])],[avatar_definition]) ).
cnf(p398,plain,
( ~ spl174
| op(e2,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef174]) ).
cnf(p3631,plain,
( ~ spl174
| ~ spl32
| $false ),
inference(resolution,[status(thm)],[p41,p398]) ).
cnf(sct195,plain,
( ~ spl174
| ~ spl32 ),
inference(avatar_contradiction_clause,[status(thm)],[p3631]) ).
fof(sdef155,definition,
( spl155
<=> op(e3,e2) != e3 ),
introduced(definition,[new_symbols(naming,[spl155])],[avatar_definition]) ).
cnf(p353,plain,
( ~ spl155
| op(e3,e2) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef155]) ).
cnf(p3643,plain,
( ~ spl155
| ~ spl59
| $false ),
inference(resolution,[status(thm)],[p74,p353]) ).
cnf(sct196,plain,
( ~ spl155
| ~ spl59 ),
inference(avatar_contradiction_clause,[status(thm)],[p3643]) ).
cnf(c332,plain,
( def76
| op(e2,e3) != e3
| 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])],[f4_sk]) ).
cnf(p3645,plain,
( ~ spl59
| def76
| op(e2,e3) != e3 ),
inference(resolution,[status(thm)],[p74,c332]) ).
cnf(p3667,plain,
( ~ spl59
| ~ spl47
| def76 ),
inference(resolution,[status(thm)],[p3645,p59]) ).
cnf(p3668,plain,
( ~ spl255
| ~ spl59
| ~ spl47
| $false ),
inference(resolution,[status(thm)],[p3667,p583]) ).
cnf(sct197,plain,
( ~ spl255
| ~ spl59
| ~ spl47 ),
inference(avatar_contradiction_clause,[status(thm)],[p3668]) ).
fof(f20,axiom,
~ ( e3 = op(op(op(e0,e0),op(e0,e0)),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f20_nnf,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c367,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p3584,plain,
( ~ spl2
| e3 != op(op(e2,e2),e0)
| e1 != op(e2,e2)
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,c367]) ).
cnf(p3660,plain,
( ~ spl2
| e3 != op(op(e2,e2),e0)
| e1 != op(e2,e2) ),
inference(equality_resolution,[status(thm)],[p3584]) ).
cnf(p3782,plain,
( ~ spl41
| ~ spl2
| e3 != op(e1,e0)
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,p3660]) ).
cnf(p3790,plain,
( ~ spl41
| ~ spl2
| e3 != op(e1,e0) ),
inference(equality_resolution,[status(thm)],[p3782]) ).
cnf(p3791,plain,
( ~ spl41
| ~ spl19
| ~ spl2
| e3 != e3 ),
inference(superposition,[status(thm)],[p24,p3790]) ).
cnf(p3792,plain,
( ~ spl41
| ~ spl19
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p3791]) ).
cnf(sct198,plain,
( ~ spl41
| ~ spl19
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p3792]) ).
fof(sdef93,definition,
( spl93
<=> op(e0,e3) != e0 ),
introduced(definition,[new_symbols(naming,[spl93])],[avatar_definition]) ).
cnf(p225,plain,
( ~ spl93
| op(e0,e3) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef93]) ).
cnf(p3820,plain,
( ~ spl93
| ~ spl12
| $false ),
inference(resolution,[status(thm)],[p16,p225]) ).
cnf(sct199,plain,
( ~ spl93
| ~ spl12 ),
inference(avatar_contradiction_clause,[status(thm)],[p3820]) ).
fof(sdef137,definition,
( spl137
<=> op(e2,e3) != e2 ),
introduced(definition,[new_symbols(naming,[spl137])],[avatar_definition]) ).
cnf(p317,plain,
( ~ spl137
| op(e2,e3) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef137]) ).
cnf(p3832,plain,
( ~ spl137
| ~ spl46
| $false ),
inference(resolution,[status(thm)],[p58,p317]) ).
cnf(sct200,plain,
( ~ spl137
| ~ spl46 ),
inference(avatar_contradiction_clause,[status(thm)],[p3832]) ).
fof(sdef235,definition,
( spl235
<=> op(e3,e2) != e2 ),
introduced(definition,[new_symbols(naming,[spl235])],[avatar_definition]) ).
cnf(p538,plain,
( ~ spl235
| op(e3,e2) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef235]) ).
cnf(p3839,plain,
( ~ spl235
| ~ spl58
| $false ),
inference(resolution,[status(thm)],[p73,p538]) ).
cnf(sct201,plain,
( ~ spl235
| ~ spl58 ),
inference(avatar_contradiction_clause,[status(thm)],[p3839]) ).
fof(sdef249,definition,
( spl249
<=> op(e1,e3) != e3 ),
introduced(definition,[new_symbols(naming,[spl249])],[avatar_definition]) ).
cnf(p570,plain,
( ~ spl249
| op(e1,e3) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef249]) ).
cnf(p3846,plain,
( ~ spl249
| ~ spl31
| $false ),
inference(resolution,[status(thm)],[p39,p570]) ).
cnf(sct202,plain,
( ~ spl249
| ~ spl31 ),
inference(avatar_contradiction_clause,[status(thm)],[p3846]) ).
fof(sdef135,definition,
( spl135
<=> op(e2,e2) != e3 ),
introduced(definition,[new_symbols(naming,[spl135])],[avatar_definition]) ).
cnf(p313,plain,
( ~ spl135
| op(e2,e2) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef135]) ).
cnf(p3859,plain,
( ~ spl135
| ~ spl43
| $false ),
inference(resolution,[status(thm)],[p54,p313]) ).
cnf(sct203,plain,
( ~ spl135
| ~ spl43 ),
inference(avatar_contradiction_clause,[status(thm)],[p3859]) ).
fof(sdef181,definition,
( spl181
<=> op(e3,e0) != e0 ),
introduced(definition,[new_symbols(naming,[spl181])],[avatar_definition]) ).
cnf(p414,plain,
( ~ spl181
| op(e3,e0) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef181]) ).
cnf(p3866,plain,
( ~ spl181
| ~ spl48
| $false ),
inference(resolution,[status(thm)],[p61,p414]) ).
cnf(sct204,plain,
( ~ spl181
| ~ spl48 ),
inference(avatar_contradiction_clause,[status(thm)],[p3866]) ).
fof(f26,axiom,
~ ( e2 = op(op(op(e0,e0),op(e0,e0)),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f26_nnf,plain,
( e2 != op(op(op(e0,e0),op(e0,e0)),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( e2 != op(op(op(e0,e0),op(e0,e0)),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c373,plain,
( e2 != op(op(op(e0,e0),op(e0,e0)),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p3812,plain,
( ~ spl3
| e2 != op(op(e3,e3),e0)
| e1 != op(e3,e3)
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,c373]) ).
cnf(p3886,plain,
( ~ spl3
| e2 != op(op(e3,e3),e0)
| e1 != op(e3,e3) ),
inference(equality_resolution,[status(thm)],[p3812]) ).
cnf(p3892,plain,
( ~ spl61
| ~ spl3
| e2 != op(e1,e0)
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,p3886]) ).
cnf(p3893,plain,
( ~ spl61
| ~ spl3
| e2 != op(e1,e0) ),
inference(equality_resolution,[status(thm)],[p3892]) ).
cnf(p3895,plain,
( ~ spl61
| ~ spl18
| ~ spl3
| e2 != e2 ),
inference(superposition,[status(thm)],[p23,p3893]) ).
cnf(p3896,plain,
( ~ spl61
| ~ spl18
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p3895]) ).
cnf(sct205,plain,
( ~ spl61
| ~ spl18
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p3896]) ).
fof(sdef107,definition,
( spl107
<=> op(e1,e1) != e2 ),
introduced(definition,[new_symbols(naming,[spl107])],[avatar_definition]) ).
cnf(p255,plain,
( ~ spl107
| op(e1,e1) != e2 ),
inference(avatar_component_clause,[status(thm)],[sdef107]) ).
cnf(p3903,plain,
( ~ spl107
| ~ spl22
| $false ),
inference(resolution,[status(thm)],[p28,p255]) ).
cnf(sct206,plain,
( ~ spl107
| ~ spl22 ),
inference(avatar_contradiction_clause,[status(thm)],[p3903]) ).
fof(sdef201,definition,
( spl201
<=> op(e2,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl201])],[avatar_definition]) ).
cnf(p460,plain,
( ~ spl201
| op(e2,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef201]) ).
cnf(p3913,plain,
( ~ spl201
| ~ spl37
| $false ),
inference(resolution,[status(thm)],[p47,p460]) ).
cnf(sct207,plain,
( ~ spl201
| ~ spl37 ),
inference(avatar_contradiction_clause,[status(thm)],[p3913]) ).
fof(sdef109,definition,
( spl109
<=> op(e1,e2) != e1 ),
introduced(definition,[new_symbols(naming,[spl109])],[avatar_definition]) ).
cnf(p259,plain,
( ~ spl109
| op(e1,e2) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef109]) ).
cnf(p3931,plain,
( ~ spl109
| ~ spl25
| $false ),
inference(resolution,[status(thm)],[p32,p259]) ).
cnf(sct208,plain,
( ~ spl109
| ~ spl25 ),
inference(avatar_contradiction_clause,[status(thm)],[p3931]) ).
fof(f14,axiom,
~ ( e3 = op(op(op(e0,e0),op(e0,e0)),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f14_nnf,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c361,plain,
( e3 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p3197,plain,
( ~ spl1
| e3 != op(op(e1,e1),e0)
| e2 != op(e1,e1)
| e1 != e1 ),
inference(superposition,[status(thm)],[p2,c361]) ).
cnf(p3490,plain,
( ~ spl1
| e3 != op(op(e1,e1),e0)
| e2 != op(e1,e1) ),
inference(equality_resolution,[status(thm)],[p3197]) ).
cnf(p3908,plain,
( ~ spl22
| ~ spl1
| e3 != op(e2,e0)
| e2 != e2 ),
inference(superposition,[status(thm)],[p28,p3490]) ).
cnf(p3958,plain,
( ~ spl22
| ~ spl1
| e3 != op(e2,e0) ),
inference(equality_resolution,[status(thm)],[p3908]) ).
cnf(p3960,plain,
( ~ spl35
| ~ spl22
| ~ spl1
| e3 != e3 ),
inference(superposition,[status(thm)],[p44,p3958]) ).
cnf(p3961,plain,
( ~ spl35
| ~ spl22
| ~ spl1
| $false ),
inference(equality_resolution,[status(thm)],[p3960]) ).
cnf(sct209,plain,
( ~ spl35
| ~ spl22
| ~ spl1 ),
inference(avatar_contradiction_clause,[status(thm)],[p3961]) ).
fof(sdef188,definition,
( spl188
<=> op(e0,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl188])],[avatar_definition]) ).
cnf(p430,plain,
( ~ spl188
| op(e0,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef188]) ).
cnf(p3966,plain,
( ~ spl188
| ~ spl5
| $false ),
inference(resolution,[status(thm)],[p7,p430]) ).
cnf(sct210,plain,
( ~ spl188
| ~ spl5 ),
inference(avatar_contradiction_clause,[status(thm)],[p3966]) ).
fof(sdef99,definition,
( spl99
<=> op(e1,e0) != e1 ),
introduced(definition,[new_symbols(naming,[spl99])],[avatar_definition]) ).
cnf(p237,plain,
( ~ spl99
| op(e1,e0) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef99]) ).
cnf(p3971,plain,
( ~ spl99
| ~ spl17
| $false ),
inference(resolution,[status(thm)],[p22,p237]) ).
cnf(sct211,plain,
( ~ spl99
| ~ spl17 ),
inference(avatar_contradiction_clause,[status(thm)],[p3971]) ).
cnf(p647,plain,
( ~ spl3
| ~ spl2
| e3 = e2 ),
inference(superposition,[status(thm)],[p4,p3]) ).
cnf(p3171,plain,
( ~ spl222
| ~ spl27
| e3 != e2 ),
inference(superposition,[status(thm)],[p34,p508]) ).
cnf(p4002,plain,
( ~ spl222
| ~ spl27
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p647,p3171]) ).
cnf(sct212,plain,
( ~ spl222
| ~ spl27
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p4002]) ).
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(c83,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2598,plain,
( ~ spl27
| e3 != op(e1,e3) ),
inference(superposition,[status(thm)],[p34,c83]) ).
cnf(p3187,plain,
( ~ spl30
| ~ spl27
| e3 != e2 ),
inference(superposition,[status(thm)],[p38,p2598]) ).
cnf(p4011,plain,
( ~ spl30
| ~ spl27
| ~ spl3
| ~ spl2
| $false ),
inference(resolution,[status(thm)],[p647,p3187]) ).
cnf(sct213,plain,
( ~ spl30
| ~ spl27
| ~ spl3
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p4011]) ).
fof(sdef97,definition,
( spl97
<=> op(e1,e1) != e0 ),
introduced(definition,[new_symbols(naming,[spl97])],[avatar_definition]) ).
cnf(p233,plain,
( ~ spl97
| op(e1,e1) != e0 ),
inference(avatar_component_clause,[status(thm)],[sdef97]) ).
cnf(p4014,plain,
( ~ spl97
| ~ spl20
| $false ),
inference(resolution,[status(thm)],[p26,p233]) ).
cnf(sct214,plain,
( ~ spl97
| ~ spl20 ),
inference(avatar_contradiction_clause,[status(thm)],[p4014]) ).
fof(f7,axiom,
~ ( e1 = op(op(op(e3,e3),op(e3,e3)),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f7_nnf,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c354,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p3462,plain,
( ~ spl60
| e1 != op(op(e0,e0),e3)
| e2 != op(e0,e0)
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,c354]) ).
cnf(p4029,plain,
( ~ spl60
| e1 != op(op(e0,e0),e3)
| e2 != op(e0,e0) ),
inference(equality_resolution,[status(thm)],[p3462]) ).
cnf(p4030,plain,
( ~ spl60
| ~ spl2
| e1 != op(e2,e3)
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,p4029]) ).
cnf(p4031,plain,
( ~ spl60
| ~ spl2
| e1 != op(e2,e3) ),
inference(equality_resolution,[status(thm)],[p4030]) ).
cnf(p4032,plain,
( ~ spl60
| ~ spl45
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p57,p4031]) ).
cnf(p4033,plain,
( ~ spl60
| ~ spl45
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p4032]) ).
cnf(sct215,plain,
( ~ spl60
| ~ spl45
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p4033]) ).
fof(sdef208,definition,
( spl208
<=> op(e3,e1) != e1 ),
introduced(definition,[new_symbols(naming,[spl208])],[avatar_definition]) ).
cnf(p476,plain,
( ~ spl208
| op(e3,e1) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef208]) ).
cnf(p4037,plain,
( ~ spl208
| ~ spl53
| $false ),
inference(resolution,[status(thm)],[p67,p476]) ).
cnf(sct216,plain,
( ~ spl208
| ~ spl53 ),
inference(avatar_contradiction_clause,[status(thm)],[p4037]) ).
fof(sdef113,definition,
( spl113
<=> op(e1,e1) != e3 ),
introduced(definition,[new_symbols(naming,[spl113])],[avatar_definition]) ).
cnf(p267,plain,
( ~ spl113
| op(e1,e1) != e3 ),
inference(avatar_component_clause,[status(thm)],[sdef113]) ).
cnf(p4046,plain,
( ~ spl113
| ~ spl23
| $false ),
inference(resolution,[status(thm)],[p29,p267]) ).
cnf(sct217,plain,
( ~ spl113
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p4046]) ).
fof(sdef115,definition,
( spl115
<=> op(e1,e3) != e1 ),
introduced(definition,[new_symbols(naming,[spl115])],[avatar_definition]) ).
cnf(p271,plain,
( ~ spl115
| op(e1,e3) != e1 ),
inference(avatar_component_clause,[status(thm)],[sdef115]) ).
cnf(p4055,plain,
( ~ spl115
| ~ spl29
| $false ),
inference(resolution,[status(thm)],[p37,p271]) ).
cnf(sct218,plain,
( ~ spl115
| ~ spl29 ),
inference(avatar_contradiction_clause,[status(thm)],[p4055]) ).
fof(f28,axiom,
~ ( e1 = op(op(op(e0,e0),op(e0,e0)),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f28_nnf,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c375,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p3813,plain,
( ~ spl3
| e1 != op(op(e3,e3),e0)
| e2 != op(e3,e3)
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,c375]) ).
cnf(p3887,plain,
( ~ spl3
| e1 != op(op(e3,e3),e0)
| e2 != op(e3,e3) ),
inference(equality_resolution,[status(thm)],[p3813]) ).
cnf(p4059,plain,
( ~ spl62
| ~ spl3
| e1 != op(e2,e0)
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,p3887]) ).
cnf(p4063,plain,
( ~ spl62
| ~ spl3
| e1 != op(e2,e0) ),
inference(equality_resolution,[status(thm)],[p4059]) ).
cnf(p4064,plain,
( ~ spl62
| ~ spl33
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p42,p4063]) ).
cnf(p4065,plain,
( ~ spl62
| ~ spl33
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p4064]) ).
cnf(sct219,plain,
( ~ spl62
| ~ spl33
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p4065]) ).
fof(f15,axiom,
~ ( e0 = op(op(op(e2,e2),op(e2,e2)),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f15_nnf,plain,
( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c362,plain,
( e0 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p3198,plain,
( ~ spl41
| e0 != op(op(e1,e1),e2)
| e3 != op(e1,e1)
| e1 != e1 ),
inference(superposition,[status(thm)],[p52,c362]) ).
cnf(p3655,plain,
( ~ spl41
| e0 != op(op(e1,e1),e2)
| e3 != op(e1,e1) ),
inference(equality_resolution,[status(thm)],[p3198]) ).
cnf(p4081,plain,
( ~ spl41
| ~ spl23
| e0 != op(e3,e2)
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,p3655]) ).
cnf(p4082,plain,
( ~ spl41
| ~ spl23
| e0 != op(e3,e2) ),
inference(equality_resolution,[status(thm)],[p4081]) ).
cnf(p4083,plain,
( ~ spl56
| ~ spl41
| ~ spl23
| e0 != e0 ),
inference(superposition,[status(thm)],[p71,p4082]) ).
cnf(p4084,plain,
( ~ spl56
| ~ spl41
| ~ spl23
| $false ),
inference(equality_resolution,[status(thm)],[p4083]) ).
cnf(sct220,plain,
( ~ spl56
| ~ spl41
| ~ spl23 ),
inference(avatar_contradiction_clause,[status(thm)],[p4084]) ).
fof(f22,axiom,
~ ( e1 = op(op(op(e0,e0),op(e0,e0)),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f22_nnf,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c369,plain,
( e1 != op(op(op(e0,e0),op(e0,e0)),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p3585,plain,
( ~ spl2
| e1 != op(op(e2,e2),e0)
| e3 != op(e2,e2)
| e2 != e2 ),
inference(superposition,[status(thm)],[p3,c369]) ).
cnf(p3661,plain,
( ~ spl2
| e1 != op(op(e2,e2),e0)
| e3 != op(e2,e2) ),
inference(equality_resolution,[status(thm)],[p3585]) ).
cnf(p4093,plain,
( ~ spl43
| ~ spl2
| e1 != op(e3,e0)
| e3 != e3 ),
inference(superposition,[status(thm)],[p54,p3661]) ).
cnf(p4094,plain,
( ~ spl43
| ~ spl2
| e1 != op(e3,e0) ),
inference(equality_resolution,[status(thm)],[p4093]) ).
cnf(p4096,plain,
( ~ spl49
| ~ spl43
| ~ spl2
| e1 != e1 ),
inference(superposition,[status(thm)],[p62,p4094]) ).
cnf(p4097,plain,
( ~ spl49
| ~ spl43
| ~ spl2
| $false ),
inference(equality_resolution,[status(thm)],[p4096]) ).
cnf(sct221,plain,
( ~ spl49
| ~ spl43
| ~ spl2 ),
inference(avatar_contradiction_clause,[status(thm)],[p4097]) ).
fof(f9,axiom,
~ ( e1 = op(op(op(e2,e2),op(e2,e2)),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f9_nnf,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c356,plain,
( e1 != op(op(op(e2,e2),op(e2,e2)),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p3435,plain,
( ~ spl40
| e1 != op(op(e0,e0),e2)
| e3 != op(e0,e0)
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,c356]) ).
cnf(p3503,plain,
( ~ spl40
| e1 != op(op(e0,e0),e2)
| e3 != op(e0,e0) ),
inference(equality_resolution,[status(thm)],[p3435]) ).
cnf(p4102,plain,
( ~ spl40
| ~ spl3
| e1 != op(e3,e2)
| e3 != e3 ),
inference(superposition,[status(thm)],[p4,p3503]) ).
cnf(p4105,plain,
( ~ spl40
| ~ spl3
| e1 != op(e3,e2) ),
inference(equality_resolution,[status(thm)],[p4102]) ).
cnf(p4106,plain,
( ~ spl57
| ~ spl40
| ~ spl3
| e1 != e1 ),
inference(superposition,[status(thm)],[p72,p4105]) ).
cnf(p4107,plain,
( ~ spl57
| ~ spl40
| ~ spl3
| $false ),
inference(equality_resolution,[status(thm)],[p4106]) ).
cnf(sct222,plain,
( ~ spl57
| ~ spl40
| ~ spl3 ),
inference(avatar_contradiction_clause,[status(thm)],[p4107]) ).
fof(f11,axiom,
~ ( e2 = op(op(op(e3,e3),op(e3,e3)),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f11_nnf,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c358,plain,
( e2 != op(op(op(e3,e3),op(e3,e3)),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p3192,plain,
( ~ spl61
| e2 != op(op(e1,e1),e3)
| e0 != op(e1,e1)
| e1 != e1 ),
inference(superposition,[status(thm)],[p77,c358]) ).
cnf(p3882,plain,
( ~ spl61
| e2 != op(op(e1,e1),e3)
| e0 != op(e1,e1) ),
inference(equality_resolution,[status(thm)],[p3192]) ).
cnf(p4111,plain,
( ~ spl61
| ~ spl20
| e2 != op(e0,e3)
| e0 != e0 ),
inference(superposition,[status(thm)],[p26,p3882]) ).
cnf(p4113,plain,
( ~ spl61
| ~ spl20
| e2 != op(e0,e3) ),
inference(equality_resolution,[status(thm)],[p4111]) ).
cnf(p4114,plain,
( ~ spl61
| ~ spl20
| ~ spl14
| e2 != e2 ),
inference(superposition,[status(thm)],[p18,p4113]) ).
cnf(p4115,plain,
( ~ spl61
| ~ spl20
| ~ spl14
| $false ),
inference(equality_resolution,[status(thm)],[p4114]) ).
cnf(sct223,plain,
( ~ spl61
| ~ spl20
| ~ spl14 ),
inference(avatar_contradiction_clause,[status(thm)],[p4115]) ).
fof(f24,axiom,
~ ( e2 = op(op(op(e1,e1),op(e1,e1)),e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f24_nnf,plain,
( e2 != op(op(op(e1,e1),op(e1,e1)),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
( e2 != op(op(op(e1,e1),op(e1,e1)),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c371,plain,
( e2 != op(op(op(e1,e1),op(e1,e1)),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p4047,plain,
( ~ spl23
| e2 != op(op(e3,e3),e1)
| e0 != op(e3,e3)
| e3 != e3 ),
inference(superposition,[status(thm)],[p29,c371]) ).
cnf(p4061,plain,
( ~ spl23
| e2 != op(op(e3,e3),e1)
| e0 != op(e3,e3) ),
inference(equality_resolution,[status(thm)],[p4047]) ).
cnf(p4124,plain,
( ~ spl60
| ~ spl23
| e2 != op(e0,e1)
| e0 != e0 ),
inference(superposition,[status(thm)],[p76,p4061]) ).
cnf(p4130,plain,
( ~ spl60
| ~ spl23
| e2 != op(e0,e1) ),
inference(equality_resolution,[status(thm)],[p4124]) ).
cnf(p4131,plain,
( ~ spl60
| ~ spl23
| ~ spl6
| e2 != e2 ),
inference(superposition,[status(thm)],[p8,p4130]) ).
cnf(p4132,plain,
( ~ spl60
| ~ spl23
| ~ spl6
| $false ),
inference(equality_resolution,[status(thm)],[p4131]) ).
cnf(sct224,plain,
( ~ spl60
| ~ spl23
| ~ spl6 ),
inference(avatar_contradiction_clause,[status(thm)],[p4132]) ).
fof(f17,axiom,
~ ( e1 = op(op(op(e3,e3),op(e3,e3)),e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f17_nnf,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c364,plain,
( e1 != op(op(op(e3,e3),op(e3,e3)),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p3608,plain,
( ~ spl62
| e1 != op(op(e2,e2),e3)
| e0 != op(e2,e2)
| e2 != e2 ),
inference(superposition,[status(thm)],[p78,c364]) ).
cnf(p3664,plain,
( ~ spl62
| e1 != op(op(e2,e2),e3)
| e0 != op(e2,e2) ),
inference(equality_resolution,[status(thm)],[p3608]) ).
cnf(p4150,plain,
( ~ spl62
| ~ spl40
| e1 != op(e0,e3)
| e0 != e0 ),
inference(superposition,[status(thm)],[p51,p3664]) ).
cnf(p4262,plain,
( ~ spl62
| ~ spl40
| e1 != op(e0,e3) ),
inference(equality_resolution,[status(thm)],[p4150]) ).
cnf(p4263,plain,
( ~ spl62
| ~ spl40
| ~ spl13
| e1 != e1 ),
inference(superposition,[status(thm)],[p17,p4262]) ).
cnf(p4264,plain,
( ~ spl62
| ~ spl40
| ~ spl13
| $false ),
inference(equality_resolution,[status(thm)],[p4263]) ).
cnf(sct225,plain,
( ~ spl62
| ~ spl40
| ~ spl13 ),
inference(avatar_contradiction_clause,[status(thm)],[p4264]) ).
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(e1,e1) = e1
| 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])],[f4_sk]) ).
cnf(ssp48,plain,
( spl64
| spl21
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c102,sdef0,sdef21,sdef64]) ).
cnf(c103,plain,
( def0
| 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])],[f4_sk]) ).
cnf(ssp49,plain,
( spl66
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c103,sdef65,sdef66]) ).
cnf(c104,plain,
( def0
| 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])],[f4_sk]) ).
cnf(ssp50,plain,
( spl67
| spl66 ),
inference(avatar_split_clause,[status(thm)],[c104,sdef66,sdef67]) ).
cnf(c105,plain,
( op(e2,e2) = e2
| 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])],[f4_sk]) ).
cnf(ssp51,plain,
( spl68
| spl66
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c105,sdef42,sdef66,sdef68]) ).
cnf(c106,plain,
( def1
| ~ 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])],[f4_sk]) ).
cnf(ssp52,plain,
( spl69
| spl64 ),
inference(avatar_split_clause,[status(thm)],[c106,sdef64,sdef69]) ).
cnf(c107,plain,
( def1
| 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])],[f4_sk]) ).
cnf(ssp53,plain,
( spl70
| spl69 ),
inference(avatar_split_clause,[status(thm)],[c107,sdef69,sdef70]) ).
cnf(c108,plain,
( op(e3,e3) = e3
| def1
| ~ def2 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp54,plain,
( spl71
| spl69
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c108,sdef63,sdef69,sdef71]) ).
cnf(c109,plain,
( def2
| ~ 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])],[f4_sk]) ).
cnf(ssp55,plain,
( spl72
| spl68 ),
inference(avatar_split_clause,[status(thm)],[c109,sdef68,sdef72]) ).
cnf(c110,plain,
( def2
| 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])],[f4_sk]) ).
cnf(ssp56,plain,
( spl73
| spl72 ),
inference(avatar_split_clause,[status(thm)],[c110,sdef72,sdef73]) ).
cnf(c111,plain,
( op(e0,e0) = e0
| op(e0,e0) != e0
| ~ def3 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp57,plain,
( spl74
| spl65
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c111,sdef0,sdef65,sdef74]) ).
cnf(c112,plain,
( def3
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp58,plain,
( spl75
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c112,sdef0,sdef75]) ).
cnf(c113,plain,
( def3
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp59,plain,
( spl75
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c113,sdef65,sdef75]) ).
cnf(c114,plain,
( def2
| ~ 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])],[f4_sk]) ).
cnf(ssp60,plain,
( spl76
| spl72 ),
inference(avatar_split_clause,[status(thm)],[c114,sdef72,sdef76]) ).
cnf(c115,plain,
( def3
| ~ 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])],[f4_sk]) ).
cnf(ssp61,plain,
( spl76
| spl75 ),
inference(avatar_split_clause,[status(thm)],[c115,sdef75,sdef76]) ).
cnf(c116,plain,
( def4
| ~ def3
| ~ 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])],[f4_sk]) ).
cnf(ssp62,plain,
( spl77
| spl74
| spl71 ),
inference(avatar_split_clause,[status(thm)],[c116,sdef71,sdef74,sdef77]) ).
cnf(c117,plain,
( op(e0,e1) = e0
| op(e0,e0) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp63,plain,
( spl79
| spl78
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c117,sdef4,sdef78,sdef79]) ).
cnf(c118,plain,
( def5
| 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])],[f4_sk]) ).
cnf(ssp64,plain,
( spl80
| spl1 ),
inference(avatar_split_clause,[status(thm)],[c118,sdef1,sdef80]) ).
cnf(c119,plain,
( def5
| 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])],[f4_sk]) ).
cnf(ssp65,plain,
( spl81
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c119,sdef80,sdef81]) ).
cnf(c120,plain,
( def4
| ~ 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])],[f4_sk]) ).
cnf(ssp66,plain,
( spl82
| spl77 ),
inference(avatar_split_clause,[status(thm)],[c120,sdef77,sdef82]) ).
cnf(c121,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])],[f4_sk]) ).
cnf(ssp67,plain,
( spl82
| spl80 ),
inference(avatar_split_clause,[status(thm)],[c121,sdef80,sdef82]) ).
cnf(c122,plain,
( def6
| ~ def5
| ~ 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])],[f4_sk]) ).
cnf(ssp68,plain,
( spl83
| spl78
| spl76 ),
inference(avatar_split_clause,[status(thm)],[c122,sdef76,sdef78,sdef83]) ).
cnf(c123,plain,
( op(e0,e2) = e0
| op(e0,e0) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp69,plain,
( spl85
| spl84
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c123,sdef8,sdef84,sdef85]) ).
cnf(c124,plain,
( def7
| 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])],[f4_sk]) ).
cnf(ssp70,plain,
( spl86
| spl2 ),
inference(avatar_split_clause,[status(thm)],[c124,sdef2,sdef86]) ).
cnf(c125,plain,
( def7
| 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])],[f4_sk]) ).
cnf(ssp71,plain,
( spl87
| spl86 ),
inference(avatar_split_clause,[status(thm)],[c125,sdef86,sdef87]) ).
cnf(c126,plain,
( def6
| ~ 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])],[f4_sk]) ).
cnf(ssp72,plain,
( spl88
| spl83 ),
inference(avatar_split_clause,[status(thm)],[c126,sdef83,sdef88]) ).
cnf(c127,plain,
( def7
| ~ 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])],[f4_sk]) ).
cnf(ssp73,plain,
( spl88
| spl86 ),
inference(avatar_split_clause,[status(thm)],[c127,sdef86,sdef88]) ).
cnf(c128,plain,
( def8
| ~ 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])],[f4_sk]) ).
cnf(ssp74,plain,
( spl89
| spl84
| spl82 ),
inference(avatar_split_clause,[status(thm)],[c128,sdef82,sdef84,sdef89]) ).
cnf(c129,plain,
( op(e0,e3) = e0
| op(e0,e0) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp75,plain,
( spl91
| spl90
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c129,sdef12,sdef90,sdef91]) ).
cnf(c130,plain,
( def9
| 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])],[f4_sk]) ).
cnf(ssp76,plain,
( spl92
| spl3 ),
inference(avatar_split_clause,[status(thm)],[c130,sdef3,sdef92]) ).
cnf(c131,plain,
( def9
| 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])],[f4_sk]) ).
cnf(ssp77,plain,
( spl93
| spl92 ),
inference(avatar_split_clause,[status(thm)],[c131,sdef92,sdef93]) ).
cnf(c132,plain,
( def8
| ~ 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])],[f4_sk]) ).
cnf(ssp78,plain,
( spl94
| spl89 ),
inference(avatar_split_clause,[status(thm)],[c132,sdef89,sdef94]) ).
cnf(c133,plain,
( def9
| ~ 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])],[f4_sk]) ).
cnf(ssp79,plain,
( spl94
| spl92 ),
inference(avatar_split_clause,[status(thm)],[c133,sdef92,sdef94]) ).
cnf(c134,plain,
( def10
| ~ def9
| ~ 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])],[f4_sk]) ).
cnf(ssp80,plain,
( spl95
| spl90
| spl88 ),
inference(avatar_split_clause,[status(thm)],[c134,sdef88,sdef90,sdef95]) ).
cnf(c135,plain,
( op(e1,e0) = e1
| 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])],[f4_sk]) ).
cnf(ssp81,plain,
( spl97
| spl96
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c135,sdef17,sdef96,sdef97]) ).
cnf(c136,plain,
( def11
| 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])],[f4_sk]) ).
cnf(ssp82,plain,
( spl98
| spl20 ),
inference(avatar_split_clause,[status(thm)],[c136,sdef20,sdef98]) ).
cnf(c137,plain,
( def11
| 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])],[f4_sk]) ).
cnf(ssp83,plain,
( spl99
| spl98 ),
inference(avatar_split_clause,[status(thm)],[c137,sdef98,sdef99]) ).
cnf(c138,plain,
( def10
| ~ 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])],[f4_sk]) ).
cnf(ssp84,plain,
( spl100
| spl95 ),
inference(avatar_split_clause,[status(thm)],[c138,sdef95,sdef100]) ).
cnf(c139,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])],[f4_sk]) ).
cnf(ssp85,plain,
( spl100
| spl98 ),
inference(avatar_split_clause,[status(thm)],[c139,sdef98,sdef100]) ).
cnf(c140,plain,
( def12
| ~ def11
| ~ 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])],[f4_sk]) ).
cnf(ssp86,plain,
( spl101
| spl96
| spl94 ),
inference(avatar_split_clause,[status(thm)],[c140,sdef94,sdef96,sdef101]) ).
cnf(c141,plain,
( op(e1,e1) = e1
| op(e1,e1) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp87,plain,
( spl102
| spl67
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c141,sdef21,sdef67,sdef102]) ).
cnf(c142,plain,
( def13
| 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])],[f4_sk]) ).
cnf(ssp88,plain,
( spl103
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c142,sdef21,sdef103]) ).
cnf(c143,plain,
( def13
| 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])],[f4_sk]) ).
cnf(ssp89,plain,
( spl103
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c143,sdef67,sdef103]) ).
cnf(c144,plain,
( def12
| ~ 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])],[f4_sk]) ).
cnf(ssp90,plain,
( spl104
| spl101 ),
inference(avatar_split_clause,[status(thm)],[c144,sdef101,sdef104]) ).
cnf(c145,plain,
( def13
| ~ 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])],[f4_sk]) ).
cnf(ssp91,plain,
( spl104
| spl103 ),
inference(avatar_split_clause,[status(thm)],[c145,sdef103,sdef104]) ).
cnf(c146,plain,
( def14
| ~ 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])],[f4_sk]) ).
cnf(ssp92,plain,
( spl105
| spl102
| spl100 ),
inference(avatar_split_clause,[status(thm)],[c146,sdef100,sdef102,sdef105]) ).
cnf(c147,plain,
( op(e1,e2) = e1
| op(e1,e1) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp93,plain,
( spl107
| spl106
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c147,sdef25,sdef106,sdef107]) ).
cnf(c148,plain,
( def15
| 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])],[f4_sk]) ).
cnf(ssp94,plain,
( spl108
| spl22 ),
inference(avatar_split_clause,[status(thm)],[c148,sdef22,sdef108]) ).
cnf(c149,plain,
( def15
| 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])],[f4_sk]) ).
cnf(ssp95,plain,
( spl109
| spl108 ),
inference(avatar_split_clause,[status(thm)],[c149,sdef108,sdef109]) ).
cnf(c150,plain,
( def14
| ~ 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])],[f4_sk]) ).
cnf(ssp96,plain,
( spl110
| spl105 ),
inference(avatar_split_clause,[status(thm)],[c150,sdef105,sdef110]) ).
cnf(c151,plain,
( def15
| ~ 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])],[f4_sk]) ).
cnf(ssp97,plain,
( spl110
| spl108 ),
inference(avatar_split_clause,[status(thm)],[c151,sdef108,sdef110]) ).
cnf(c152,plain,
( def16
| ~ def15
| ~ 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])],[f4_sk]) ).
cnf(ssp98,plain,
( spl111
| spl106
| spl104 ),
inference(avatar_split_clause,[status(thm)],[c152,sdef104,sdef106,sdef111]) ).
cnf(c153,plain,
( op(e1,e3) = e1
| op(e1,e1) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp99,plain,
( spl113
| spl112
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c153,sdef29,sdef112,sdef113]) ).
cnf(c154,plain,
( def17
| 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])],[f4_sk]) ).
cnf(ssp100,plain,
( spl114
| spl23 ),
inference(avatar_split_clause,[status(thm)],[c154,sdef23,sdef114]) ).
cnf(c155,plain,
( def17
| 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])],[f4_sk]) ).
cnf(ssp101,plain,
( spl115
| spl114 ),
inference(avatar_split_clause,[status(thm)],[c155,sdef114,sdef115]) ).
cnf(c156,plain,
( def16
| ~ 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])],[f4_sk]) ).
cnf(ssp102,plain,
( spl116
| spl111 ),
inference(avatar_split_clause,[status(thm)],[c156,sdef111,sdef116]) ).
cnf(c157,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])],[f4_sk]) ).
cnf(ssp103,plain,
( spl116
| spl114 ),
inference(avatar_split_clause,[status(thm)],[c157,sdef114,sdef116]) ).
cnf(c158,plain,
( def18
| ~ def17
| ~ 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])],[f4_sk]) ).
cnf(ssp104,plain,
( spl117
| spl112
| spl110 ),
inference(avatar_split_clause,[status(thm)],[c158,sdef110,sdef112,sdef117]) ).
cnf(c159,plain,
( op(e2,e0) = e2
| op(e2,e2) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp105,plain,
( spl119
| spl118
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c159,sdef34,sdef118,sdef119]) ).
cnf(c160,plain,
( def19
| 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])],[f4_sk]) ).
cnf(ssp106,plain,
( spl120
| spl40 ),
inference(avatar_split_clause,[status(thm)],[c160,sdef40,sdef120]) ).
cnf(c161,plain,
( def19
| 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])],[f4_sk]) ).
cnf(ssp107,plain,
( spl121
| spl120 ),
inference(avatar_split_clause,[status(thm)],[c161,sdef120,sdef121]) ).
cnf(c162,plain,
( def18
| ~ 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])],[f4_sk]) ).
cnf(ssp108,plain,
( spl122
| spl117 ),
inference(avatar_split_clause,[status(thm)],[c162,sdef117,sdef122]) ).
cnf(c163,plain,
( def19
| ~ 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])],[f4_sk]) ).
cnf(ssp109,plain,
( spl122
| spl120 ),
inference(avatar_split_clause,[status(thm)],[c163,sdef120,sdef122]) ).
cnf(c164,plain,
( def20
| ~ 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])],[f4_sk]) ).
cnf(ssp110,plain,
( spl123
| spl118
| spl116 ),
inference(avatar_split_clause,[status(thm)],[c164,sdef116,sdef118,sdef123]) ).
cnf(c165,plain,
( op(e2,e1) = e2
| op(e2,e2) != 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])],[f4_sk]) ).
cnf(ssp111,plain,
( spl125
| spl124
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c165,sdef38,sdef124,sdef125]) ).
cnf(c166,plain,
( def21
| 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])],[f4_sk]) ).
cnf(ssp112,plain,
( spl126
| spl41 ),
inference(avatar_split_clause,[status(thm)],[c166,sdef41,sdef126]) ).
cnf(c167,plain,
( def21
| 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])],[f4_sk]) ).
cnf(ssp113,plain,
( spl127
| spl126 ),
inference(avatar_split_clause,[status(thm)],[c167,sdef126,sdef127]) ).
cnf(c168,plain,
( def20
| ~ 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])],[f4_sk]) ).
cnf(ssp114,plain,
( spl128
| spl123 ),
inference(avatar_split_clause,[status(thm)],[c168,sdef123,sdef128]) ).
cnf(c169,plain,
( def21
| ~ 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])],[f4_sk]) ).
cnf(ssp115,plain,
( spl128
| spl126 ),
inference(avatar_split_clause,[status(thm)],[c169,sdef126,sdef128]) ).
cnf(c170,plain,
( def22
| ~ def21
| ~ 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])],[f4_sk]) ).
cnf(ssp116,plain,
( spl129
| spl124
| spl122 ),
inference(avatar_split_clause,[status(thm)],[c170,sdef122,sdef124,sdef129]) ).
cnf(c171,plain,
( op(e2,e2) = e2
| op(e2,e2) != 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])],[f4_sk]) ).
cnf(ssp117,plain,
( spl130
| spl70
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c171,sdef42,sdef70,sdef130]) ).
cnf(c172,plain,
( def23
| 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])],[f4_sk]) ).
cnf(ssp118,plain,
( spl131
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c172,sdef42,sdef131]) ).
cnf(c173,plain,
( def23
| 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])],[f4_sk]) ).
cnf(ssp119,plain,
( spl131
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c173,sdef70,sdef131]) ).
cnf(c174,plain,
( def22
| ~ 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])],[f4_sk]) ).
cnf(ssp120,plain,
( spl132
| spl129 ),
inference(avatar_split_clause,[status(thm)],[c174,sdef129,sdef132]) ).
cnf(c175,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])],[f4_sk]) ).
cnf(ssp121,plain,
( spl132
| spl131 ),
inference(avatar_split_clause,[status(thm)],[c175,sdef131,sdef132]) ).
cnf(c176,plain,
( def24
| ~ def23
| ~ 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])],[f4_sk]) ).
cnf(ssp122,plain,
( spl133
| spl130
| spl128 ),
inference(avatar_split_clause,[status(thm)],[c176,sdef128,sdef130,sdef133]) ).
cnf(c177,plain,
( op(e2,e3) = e2
| op(e2,e2) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp123,plain,
( spl135
| spl134
| spl46 ),
inference(avatar_split_clause,[status(thm)],[c177,sdef46,sdef134,sdef135]) ).
cnf(c178,plain,
( def25
| 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])],[f4_sk]) ).
cnf(ssp124,plain,
( spl136
| spl43 ),
inference(avatar_split_clause,[status(thm)],[c178,sdef43,sdef136]) ).
cnf(c179,plain,
( def25
| 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])],[f4_sk]) ).
cnf(ssp125,plain,
( spl137
| spl136 ),
inference(avatar_split_clause,[status(thm)],[c179,sdef136,sdef137]) ).
cnf(c180,plain,
( def24
| ~ 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])],[f4_sk]) ).
cnf(ssp126,plain,
( spl138
| spl133 ),
inference(avatar_split_clause,[status(thm)],[c180,sdef133,sdef138]) ).
cnf(c181,plain,
( def25
| ~ 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])],[f4_sk]) ).
cnf(ssp127,plain,
( spl138
| spl136 ),
inference(avatar_split_clause,[status(thm)],[c181,sdef136,sdef138]) ).
cnf(c182,plain,
( def26
| ~ 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])],[f4_sk]) ).
cnf(ssp128,plain,
( spl139
| spl134
| spl132 ),
inference(avatar_split_clause,[status(thm)],[c182,sdef132,sdef134,sdef139]) ).
cnf(c183,plain,
( op(e3,e0) = e3
| op(e3,e3) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp129,plain,
( spl141
| spl140
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c183,sdef51,sdef140,sdef141]) ).
cnf(c184,plain,
( def27
| 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])],[f4_sk]) ).
cnf(ssp130,plain,
( spl142
| spl60 ),
inference(avatar_split_clause,[status(thm)],[c184,sdef60,sdef142]) ).
cnf(c185,plain,
( def27
| 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])],[f4_sk]) ).
cnf(ssp131,plain,
( spl143
| spl142 ),
inference(avatar_split_clause,[status(thm)],[c185,sdef142,sdef143]) ).
cnf(c186,plain,
( def26
| ~ 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])],[f4_sk]) ).
cnf(ssp132,plain,
( spl144
| spl139 ),
inference(avatar_split_clause,[status(thm)],[c186,sdef139,sdef144]) ).
cnf(c187,plain,
( def27
| ~ 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])],[f4_sk]) ).
cnf(ssp133,plain,
( spl144
| spl142 ),
inference(avatar_split_clause,[status(thm)],[c187,sdef142,sdef144]) ).
cnf(c188,plain,
( def28
| ~ def27
| ~ 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])],[f4_sk]) ).
cnf(ssp134,plain,
( spl145
| spl140
| spl138 ),
inference(avatar_split_clause,[status(thm)],[c188,sdef138,sdef140,sdef145]) ).
cnf(c189,plain,
( op(e3,e1) = e3
| op(e3,e3) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp135,plain,
( spl147
| spl146
| spl55 ),
inference(avatar_split_clause,[status(thm)],[c189,sdef55,sdef146,sdef147]) ).
cnf(c190,plain,
( def29
| 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])],[f4_sk]) ).
cnf(ssp136,plain,
( spl148
| spl61 ),
inference(avatar_split_clause,[status(thm)],[c190,sdef61,sdef148]) ).
cnf(c191,plain,
( def29
| 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])],[f4_sk]) ).
cnf(ssp137,plain,
( spl149
| spl148 ),
inference(avatar_split_clause,[status(thm)],[c191,sdef148,sdef149]) ).
cnf(c192,plain,
( def28
| ~ 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])],[f4_sk]) ).
cnf(ssp138,plain,
( spl150
| spl145 ),
inference(avatar_split_clause,[status(thm)],[c192,sdef145,sdef150]) ).
cnf(c193,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])],[f4_sk]) ).
cnf(ssp139,plain,
( spl150
| spl148 ),
inference(avatar_split_clause,[status(thm)],[c193,sdef148,sdef150]) ).
cnf(c194,plain,
( def30
| ~ def29
| ~ 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])],[f4_sk]) ).
cnf(ssp140,plain,
( spl151
| spl146
| spl144 ),
inference(avatar_split_clause,[status(thm)],[c194,sdef144,sdef146,sdef151]) ).
cnf(c195,plain,
( op(e3,e2) = e3
| op(e3,e3) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp141,plain,
( spl153
| spl152
| spl59 ),
inference(avatar_split_clause,[status(thm)],[c195,sdef59,sdef152,sdef153]) ).
cnf(c196,plain,
( def31
| 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])],[f4_sk]) ).
cnf(ssp142,plain,
( spl154
| spl62 ),
inference(avatar_split_clause,[status(thm)],[c196,sdef62,sdef154]) ).
cnf(c197,plain,
( def31
| 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])],[f4_sk]) ).
cnf(ssp143,plain,
( spl155
| spl154 ),
inference(avatar_split_clause,[status(thm)],[c197,sdef154,sdef155]) ).
cnf(c198,plain,
( def30
| ~ 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])],[f4_sk]) ).
cnf(ssp144,plain,
( spl156
| spl151 ),
inference(avatar_split_clause,[status(thm)],[c198,sdef151,sdef156]) ).
cnf(c199,plain,
( def31
| ~ 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])],[f4_sk]) ).
cnf(ssp145,plain,
( spl156
| spl154 ),
inference(avatar_split_clause,[status(thm)],[c199,sdef154,sdef156]) ).
cnf(c200,plain,
( def32
| ~ 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])],[f4_sk]) ).
cnf(ssp146,plain,
( spl157
| spl152
| spl150 ),
inference(avatar_split_clause,[status(thm)],[c200,sdef150,sdef152,sdef157]) ).
cnf(c201,plain,
( op(e3,e3) = e3
| op(e3,e3) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp147,plain,
( spl158
| spl73
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c201,sdef63,sdef73,sdef158]) ).
cnf(c202,plain,
( def33
| 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])],[f4_sk]) ).
cnf(ssp148,plain,
( spl159
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c202,sdef63,sdef159]) ).
cnf(c203,plain,
( def33
| 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])],[f4_sk]) ).
cnf(ssp149,plain,
( spl159
| spl73 ),
inference(avatar_split_clause,[status(thm)],[c203,sdef73,sdef159]) ).
cnf(c204,plain,
( def32
| ~ 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])],[f4_sk]) ).
cnf(ssp150,plain,
( spl160
| spl157 ),
inference(avatar_split_clause,[status(thm)],[c204,sdef157,sdef160]) ).
cnf(c205,plain,
( def33
| ~ 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])],[f4_sk]) ).
cnf(ssp151,plain,
( spl160
| spl159 ),
inference(avatar_split_clause,[status(thm)],[c205,sdef159,sdef160]) ).
cnf(c206,plain,
( def34
| ~ def33
| ~ 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])],[f4_sk]) ).
fof(sdef161,definition,
( spl161
<=> def34 ),
introduced(definition,[new_symbols(naming,[spl161])],[avatar_definition]) ).
cnf(ssp152,plain,
( spl161
| spl158
| spl156 ),
inference(avatar_split_clause,[status(thm)],[c206,sdef156,sdef158,sdef161]) ).
cnf(c208,plain,
( op(e0,e0) = 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])],[f4_sk]) ).
cnf(ssp153,plain,
( spl162
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c208,sdef0,sdef162]) ).
cnf(c209,plain,
( def35
| 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])],[f4_sk]) ).
cnf(ssp154,plain,
( spl163
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c209,sdef65,sdef163]) ).
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])],[f4_sk]) ).
cnf(ssp155,plain,
( spl164
| spl163 ),
inference(avatar_split_clause,[status(thm)],[c210,sdef163,sdef164]) ).
cnf(c211,plain,
( op(e0,e0) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp156,plain,
( spl164
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c211,sdef65,sdef164]) ).
cnf(c212,plain,
( def36
| op(e0,e0) = 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])],[f4_sk]) ).
cnf(ssp157,plain,
( spl165
| spl162
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c212,sdef0,sdef162,sdef165]) ).
cnf(c213,plain,
( op(e0,e1) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp158,plain,
( spl166
| spl4 ),
inference(avatar_split_clause,[status(thm)],[c213,sdef4,sdef166]) ).
cnf(c214,plain,
( op(e1,e0) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp159,plain,
( spl166
| spl16 ),
inference(avatar_split_clause,[status(thm)],[c214,sdef16,sdef166]) ).
cnf(c215,plain,
( def37
| op(e1,e0) != e0
| 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])],[f4_sk]) ).
cnf(ssp160,plain,
( spl168
| spl167
| spl81 ),
inference(avatar_split_clause,[status(thm)],[c215,sdef81,sdef167,sdef168]) ).
cnf(c216,plain,
( def37
| ~ def38 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp161,plain,
( spl169
| spl168 ),
inference(avatar_split_clause,[status(thm)],[c216,sdef168,sdef169]) ).
cnf(c217,plain,
( op(e1,e1) != 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])],[f4_sk]) ).
cnf(ssp162,plain,
( spl169
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c217,sdef67,sdef169]) ).
cnf(c218,plain,
( def38
| op(e1,e1) = e1
| ~ def37 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp163,plain,
( spl170
| spl166
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c218,sdef21,sdef166,sdef170]) ).
cnf(c219,plain,
( def38
| def36
| ~ 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])],[f4_sk]) ).
cnf(ssp164,plain,
( spl171
| spl170
| spl165 ),
inference(avatar_split_clause,[status(thm)],[c219,sdef165,sdef170,sdef171]) ).
cnf(c220,plain,
( def39
| ~ 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])],[f4_sk]) ).
cnf(ssp165,plain,
( spl172
| spl164 ),
inference(avatar_split_clause,[status(thm)],[c220,sdef164,sdef172]) ).
cnf(c221,plain,
( def39
| ~ def38 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp166,plain,
( spl172
| spl169 ),
inference(avatar_split_clause,[status(thm)],[c221,sdef169,sdef172]) ).
cnf(c222,plain,
( op(e0,e2) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp167,plain,
( spl173
| spl8 ),
inference(avatar_split_clause,[status(thm)],[c222,sdef8,sdef173]) ).
cnf(c223,plain,
( op(e2,e0) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp168,plain,
( spl173
| spl32 ),
inference(avatar_split_clause,[status(thm)],[c223,sdef32,sdef173]) ).
cnf(c224,plain,
( def40
| op(e2,e0) != e0
| 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])],[f4_sk]) ).
cnf(ssp169,plain,
( spl175
| spl174
| spl87 ),
inference(avatar_split_clause,[status(thm)],[c224,sdef87,sdef174,sdef175]) ).
cnf(c225,plain,
( def40
| ~ 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])],[f4_sk]) ).
cnf(ssp170,plain,
( spl176
| spl175 ),
inference(avatar_split_clause,[status(thm)],[c225,sdef175,sdef176]) ).
cnf(c226,plain,
( op(e2,e2) != 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])],[f4_sk]) ).
cnf(ssp171,plain,
( spl176
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c226,sdef70,sdef176]) ).
cnf(c227,plain,
( def41
| op(e2,e2) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp172,plain,
( spl177
| spl173
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c227,sdef42,sdef173,sdef177]) ).
cnf(c228,plain,
( def41
| def39
| ~ 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])],[f4_sk]) ).
cnf(ssp173,plain,
( spl178
| spl177
| spl172 ),
inference(avatar_split_clause,[status(thm)],[c228,sdef172,sdef177,sdef178]) ).
cnf(c229,plain,
( def42
| ~ 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])],[f4_sk]) ).
cnf(ssp174,plain,
( spl179
| spl171 ),
inference(avatar_split_clause,[status(thm)],[c229,sdef171,sdef179]) ).
cnf(c230,plain,
( def42
| ~ 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])],[f4_sk]) ).
cnf(ssp175,plain,
( spl179
| spl176 ),
inference(avatar_split_clause,[status(thm)],[c230,sdef176,sdef179]) ).
cnf(c231,plain,
( op(e0,e3) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp176,plain,
( spl180
| spl12 ),
inference(avatar_split_clause,[status(thm)],[c231,sdef12,sdef180]) ).
cnf(c232,plain,
( op(e3,e0) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp177,plain,
( spl180
| spl48 ),
inference(avatar_split_clause,[status(thm)],[c232,sdef48,sdef180]) ).
cnf(c233,plain,
( def43
| op(e3,e0) != e0
| 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])],[f4_sk]) ).
cnf(ssp178,plain,
( spl182
| spl181
| spl93 ),
inference(avatar_split_clause,[status(thm)],[c233,sdef93,sdef181,sdef182]) ).
cnf(c234,plain,
( def43
| ~ def44 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp179,plain,
( spl183
| spl182 ),
inference(avatar_split_clause,[status(thm)],[c234,sdef182,sdef183]) ).
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])],[f4_sk]) ).
cnf(ssp180,plain,
( spl183
| spl73 ),
inference(avatar_split_clause,[status(thm)],[c235,sdef73,sdef183]) ).
cnf(c236,plain,
( def44
| op(e3,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp181,plain,
( spl184
| spl180
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c236,sdef63,sdef180,sdef184]) ).
cnf(c237,plain,
( def44
| def42
| ~ 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])],[f4_sk]) ).
cnf(ssp182,plain,
( spl185
| spl184
| spl179 ),
inference(avatar_split_clause,[status(thm)],[c237,sdef179,sdef184,sdef185]) ).
cnf(c238,plain,
( def45
| ~ 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])],[f4_sk]) ).
cnf(ssp183,plain,
( spl186
| spl178 ),
inference(avatar_split_clause,[status(thm)],[c238,sdef178,sdef186]) ).
cnf(c239,plain,
( def45
| ~ def44 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp184,plain,
( spl186
| spl183 ),
inference(avatar_split_clause,[status(thm)],[c239,sdef183,sdef186]) ).
cnf(c240,plain,
( op(e1,e0) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp185,plain,
( spl187
| spl17 ),
inference(avatar_split_clause,[status(thm)],[c240,sdef17,sdef187]) ).
cnf(c241,plain,
( op(e0,e1) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp186,plain,
( spl187
| spl5 ),
inference(avatar_split_clause,[status(thm)],[c241,sdef5,sdef187]) ).
cnf(c242,plain,
( def46
| op(e0,e1) != e1
| 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])],[f4_sk]) ).
cnf(ssp187,plain,
( spl189
| spl188
| spl99 ),
inference(avatar_split_clause,[status(thm)],[c242,sdef99,sdef188,sdef189]) ).
cnf(c243,plain,
( def46
| ~ 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])],[f4_sk]) ).
cnf(ssp188,plain,
( spl190
| spl189 ),
inference(avatar_split_clause,[status(thm)],[c243,sdef189,sdef190]) ).
cnf(c244,plain,
( 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])],[f4_sk]) ).
cnf(ssp189,plain,
( spl190
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c244,sdef65,sdef190]) ).
cnf(c245,plain,
( def47
| op(e0,e0) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp190,plain,
( spl191
| spl187
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c245,sdef0,sdef187,sdef191]) ).
cnf(c246,plain,
( def47
| def45
| ~ 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])],[f4_sk]) ).
cnf(ssp191,plain,
( spl192
| spl191
| spl186 ),
inference(avatar_split_clause,[status(thm)],[c246,sdef186,sdef191,sdef192]) ).
cnf(c247,plain,
( def48
| ~ 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])],[f4_sk]) ).
cnf(ssp192,plain,
( spl193
| spl185 ),
inference(avatar_split_clause,[status(thm)],[c247,sdef185,sdef193]) ).
cnf(c248,plain,
( 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])],[f4_sk]) ).
cnf(ssp193,plain,
( spl193
| spl190 ),
inference(avatar_split_clause,[status(thm)],[c248,sdef190,sdef193]) ).
cnf(c250,plain,
( op(e1,e1) = e1
| ~ def49 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp194,plain,
( spl194
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c250,sdef21,sdef194]) ).
cnf(c251,plain,
( def49
| 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])],[f4_sk]) ).
cnf(ssp195,plain,
( spl195
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c251,sdef67,sdef195]) ).
cnf(c252,plain,
( def49
| ~ def50 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp196,plain,
( spl196
| spl195 ),
inference(avatar_split_clause,[status(thm)],[c252,sdef195,sdef196]) ).
cnf(c253,plain,
( op(e1,e1) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp197,plain,
( spl196
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c253,sdef67,sdef196]) ).
cnf(c254,plain,
( def50
| op(e1,e1) = e1
| ~ def49 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp198,plain,
( spl197
| spl194
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c254,sdef21,sdef194,sdef197]) ).
cnf(c255,plain,
( def50
| def48
| ~ 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])],[f4_sk]) ).
cnf(ssp199,plain,
( spl198
| spl197
| spl193 ),
inference(avatar_split_clause,[status(thm)],[c255,sdef193,sdef197,sdef198]) ).
cnf(c256,plain,
( def51
| ~ 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])],[f4_sk]) ).
cnf(ssp200,plain,
( spl199
| spl192 ),
inference(avatar_split_clause,[status(thm)],[c256,sdef192,sdef199]) ).
cnf(c257,plain,
( def51
| ~ def50 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp201,plain,
( spl199
| spl196 ),
inference(avatar_split_clause,[status(thm)],[c257,sdef196,sdef199]) ).
cnf(c258,plain,
( op(e1,e2) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp202,plain,
( spl200
| spl25 ),
inference(avatar_split_clause,[status(thm)],[c258,sdef25,sdef200]) ).
cnf(c259,plain,
( op(e2,e1) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp203,plain,
( spl200
| spl37 ),
inference(avatar_split_clause,[status(thm)],[c259,sdef37,sdef200]) ).
cnf(c260,plain,
( def52
| op(e2,e1) != e1
| 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])],[f4_sk]) ).
cnf(ssp204,plain,
( spl202
| spl201
| spl109 ),
inference(avatar_split_clause,[status(thm)],[c260,sdef109,sdef201,sdef202]) ).
cnf(c261,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])],[f4_sk]) ).
cnf(ssp205,plain,
( spl203
| spl202 ),
inference(avatar_split_clause,[status(thm)],[c261,sdef202,sdef203]) ).
cnf(c262,plain,
( op(e2,e2) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp206,plain,
( spl203
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c262,sdef70,sdef203]) ).
cnf(c263,plain,
( def53
| op(e2,e2) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp207,plain,
( spl204
| spl200
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c263,sdef42,sdef200,sdef204]) ).
cnf(c264,plain,
( def53
| def51
| ~ 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])],[f4_sk]) ).
cnf(ssp208,plain,
( spl205
| spl204
| spl199 ),
inference(avatar_split_clause,[status(thm)],[c264,sdef199,sdef204,sdef205]) ).
cnf(c265,plain,
( def54
| ~ 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])],[f4_sk]) ).
cnf(ssp209,plain,
( spl206
| spl198 ),
inference(avatar_split_clause,[status(thm)],[c265,sdef198,sdef206]) ).
cnf(c266,plain,
( 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])],[f4_sk]) ).
cnf(ssp210,plain,
( spl206
| spl203 ),
inference(avatar_split_clause,[status(thm)],[c266,sdef203,sdef206]) ).
cnf(c267,plain,
( op(e1,e3) = e1
| ~ def55 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp211,plain,
( spl207
| spl29 ),
inference(avatar_split_clause,[status(thm)],[c267,sdef29,sdef207]) ).
cnf(c268,plain,
( op(e3,e1) = e1
| ~ def55 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp212,plain,
( spl207
| spl53 ),
inference(avatar_split_clause,[status(thm)],[c268,sdef53,sdef207]) ).
cnf(c269,plain,
( def55
| op(e3,e1) != e1
| 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])],[f4_sk]) ).
cnf(ssp213,plain,
( spl209
| spl208
| spl115 ),
inference(avatar_split_clause,[status(thm)],[c269,sdef115,sdef208,sdef209]) ).
cnf(c270,plain,
( def55
| ~ def56 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp214,plain,
( spl210
| spl209 ),
inference(avatar_split_clause,[status(thm)],[c270,sdef209,sdef210]) ).
cnf(c271,plain,
( op(e3,e3) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp215,plain,
( spl210
| spl73 ),
inference(avatar_split_clause,[status(thm)],[c271,sdef73,sdef210]) ).
cnf(c272,plain,
( def56
| op(e3,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp216,plain,
( spl211
| spl207
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c272,sdef63,sdef207,sdef211]) ).
cnf(c273,plain,
( def56
| def54
| ~ 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])],[f4_sk]) ).
cnf(ssp217,plain,
( spl212
| spl211
| spl206 ),
inference(avatar_split_clause,[status(thm)],[c273,sdef206,sdef211,sdef212]) ).
cnf(c274,plain,
( def57
| ~ 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])],[f4_sk]) ).
cnf(ssp218,plain,
( spl213
| spl205 ),
inference(avatar_split_clause,[status(thm)],[c274,sdef205,sdef213]) ).
cnf(c275,plain,
( def57
| ~ def56 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp219,plain,
( spl213
| spl210 ),
inference(avatar_split_clause,[status(thm)],[c275,sdef210,sdef213]) ).
cnf(c276,plain,
( 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])],[f4_sk]) ).
cnf(ssp220,plain,
( spl214
| spl34 ),
inference(avatar_split_clause,[status(thm)],[c276,sdef34,sdef214]) ).
cnf(c277,plain,
( op(e0,e2) = 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])],[f4_sk]) ).
cnf(ssp221,plain,
( spl214
| spl10 ),
inference(avatar_split_clause,[status(thm)],[c277,sdef10,sdef214]) ).
cnf(c278,plain,
( def58
| op(e0,e2) != e2
| 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])],[f4_sk]) ).
cnf(ssp222,plain,
( spl216
| spl215
| spl121 ),
inference(avatar_split_clause,[status(thm)],[c278,sdef121,sdef215,sdef216]) ).
cnf(c279,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])],[f4_sk]) ).
cnf(ssp223,plain,
( spl217
| spl216 ),
inference(avatar_split_clause,[status(thm)],[c279,sdef216,sdef217]) ).
cnf(c280,plain,
( op(e0,e0) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp224,plain,
( spl217
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c280,sdef65,sdef217]) ).
cnf(c281,plain,
( def59
| op(e0,e0) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp225,plain,
( spl218
| spl214
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c281,sdef0,sdef214,sdef218]) ).
cnf(c282,plain,
( def59
| def57
| ~ 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])],[f4_sk]) ).
cnf(ssp226,plain,
( spl219
| spl218
| spl213 ),
inference(avatar_split_clause,[status(thm)],[c282,sdef213,sdef218,sdef219]) ).
cnf(c283,plain,
( def60
| ~ 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])],[f4_sk]) ).
cnf(ssp227,plain,
( spl220
| spl212 ),
inference(avatar_split_clause,[status(thm)],[c283,sdef212,sdef220]) ).
cnf(c284,plain,
( 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])],[f4_sk]) ).
cnf(ssp228,plain,
( spl220
| spl217 ),
inference(avatar_split_clause,[status(thm)],[c284,sdef217,sdef220]) ).
cnf(c285,plain,
( op(e2,e1) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp229,plain,
( spl221
| spl38 ),
inference(avatar_split_clause,[status(thm)],[c285,sdef38,sdef221]) ).
cnf(c286,plain,
( op(e1,e2) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp230,plain,
( spl221
| spl26 ),
inference(avatar_split_clause,[status(thm)],[c286,sdef26,sdef221]) ).
cnf(c287,plain,
( def61
| op(e1,e2) != e2
| 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])],[f4_sk]) ).
cnf(ssp231,plain,
( spl223
| spl222
| spl127 ),
inference(avatar_split_clause,[status(thm)],[c287,sdef127,sdef222,sdef223]) ).
cnf(c288,plain,
( def61
| ~ def62 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp232,plain,
( spl224
| spl223 ),
inference(avatar_split_clause,[status(thm)],[c288,sdef223,sdef224]) ).
cnf(c289,plain,
( op(e1,e1) != 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])],[f4_sk]) ).
cnf(ssp233,plain,
( spl224
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c289,sdef67,sdef224]) ).
cnf(c290,plain,
( def62
| op(e1,e1) = e1
| ~ def61 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp234,plain,
( spl225
| spl221
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c290,sdef21,sdef221,sdef225]) ).
cnf(c291,plain,
( def62
| def60
| ~ 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])],[f4_sk]) ).
cnf(ssp235,plain,
( spl226
| spl225
| spl220 ),
inference(avatar_split_clause,[status(thm)],[c291,sdef220,sdef225,sdef226]) ).
cnf(c292,plain,
( def63
| ~ 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])],[f4_sk]) ).
cnf(ssp236,plain,
( spl227
| spl219 ),
inference(avatar_split_clause,[status(thm)],[c292,sdef219,sdef227]) ).
cnf(c293,plain,
( 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])],[f4_sk]) ).
cnf(ssp237,plain,
( spl227
| spl224 ),
inference(avatar_split_clause,[status(thm)],[c293,sdef224,sdef227]) ).
cnf(c295,plain,
( op(e2,e2) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp238,plain,
( spl228
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c295,sdef42,sdef228]) ).
cnf(c296,plain,
( def64
| 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])],[f4_sk]) ).
cnf(ssp239,plain,
( spl229
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c296,sdef70,sdef229]) ).
cnf(c297,plain,
( def64
| ~ 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])],[f4_sk]) ).
cnf(ssp240,plain,
( spl230
| spl229 ),
inference(avatar_split_clause,[status(thm)],[c297,sdef229,sdef230]) ).
cnf(c298,plain,
( op(e2,e2) != e2
| ~ 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])],[f4_sk]) ).
cnf(ssp241,plain,
( spl230
| spl70 ),
inference(avatar_split_clause,[status(thm)],[c298,sdef70,sdef230]) ).
cnf(c299,plain,
( def65
| op(e2,e2) = e2
| ~ 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])],[f4_sk]) ).
cnf(ssp242,plain,
( spl231
| spl228
| spl42 ),
inference(avatar_split_clause,[status(thm)],[c299,sdef42,sdef228,sdef231]) ).
cnf(c300,plain,
( def65
| def63
| ~ 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])],[f4_sk]) ).
cnf(ssp243,plain,
( spl232
| spl231
| spl227 ),
inference(avatar_split_clause,[status(thm)],[c300,sdef227,sdef231,sdef232]) ).
cnf(c301,plain,
( def66
| ~ 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])],[f4_sk]) ).
cnf(ssp244,plain,
( spl233
| spl226 ),
inference(avatar_split_clause,[status(thm)],[c301,sdef226,sdef233]) ).
cnf(c302,plain,
( def66
| ~ 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])],[f4_sk]) ).
cnf(ssp245,plain,
( spl233
| spl230 ),
inference(avatar_split_clause,[status(thm)],[c302,sdef230,sdef233]) ).
cnf(c303,plain,
( op(e2,e3) = e2
| ~ def67 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp246,plain,
( spl234
| spl46 ),
inference(avatar_split_clause,[status(thm)],[c303,sdef46,sdef234]) ).
cnf(c304,plain,
( op(e3,e2) = e2
| ~ def67 ),
inference(cnf_transformation,[status(esa),new_symbols(definition,[def0,def1,def2,def3,def4,def5,def6,def7,def8,def9,def10,def11,def12,def13,def14,def15,def16,def17,def18,def19,def20,def21,def22,def23,def24,def25,def26,def27,def28,def29,def30,def31,def32,def33,def34,def35,def36,def37,def38,def39,def40,def41,def42,def43,def44,def45,def46,def47,def48,def49,def50,def51,def52,def53,def54,def55,def56,def57,def58,def59,def60,def61,def62,def63,def64,def65,def66,def67,def68,def69,def70,def71,def72,def73,def74,def75,def76,def77,def78,def79,def80,def81,def82])],[f4_sk]) ).
cnf(ssp247,plain,
( spl234
| spl58 ),
inference(avatar_split_clause,[status(thm)],[c304,sdef58,sdef234]) ).
cnf(c305,plain,
( def67
| op(e3,e2) != e2
| 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])],[f4_sk]) ).
cnf(ssp248,plain,
( spl236
| spl235
| spl137 ),
inference(avatar_split_clause,[status(thm)],[c305,sdef137,sdef235,sdef236]) ).
cnf(c306,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])],[f4_sk]) ).
cnf(ssp249,plain,
( spl237
| spl236 ),
inference(avatar_split_clause,[status(thm)],[c306,sdef236,sdef237]) ).
cnf(c307,plain,
( op(e3,e3) != e3
| ~ 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])],[f4_sk]) ).
cnf(ssp250,plain,
( spl237
| spl73 ),
inference(avatar_split_clause,[status(thm)],[c307,sdef73,sdef237]) ).
cnf(c308,plain,
( def68
| op(e3,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp251,plain,
( spl238
| spl234
| spl63 ),
inference(avatar_split_clause,[status(thm)],[c308,sdef63,sdef234,sdef238]) ).
cnf(c309,plain,
( def68
| def66
| ~ 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])],[f4_sk]) ).
cnf(ssp252,plain,
( spl239
| spl238
| spl233 ),
inference(avatar_split_clause,[status(thm)],[c309,sdef233,sdef238,sdef239]) ).
cnf(c310,plain,
( def69
| ~ 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])],[f4_sk]) ).
cnf(ssp253,plain,
( spl240
| spl232 ),
inference(avatar_split_clause,[status(thm)],[c310,sdef232,sdef240]) ).
cnf(c311,plain,
( 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])],[f4_sk]) ).
cnf(ssp254,plain,
( spl240
| spl237 ),
inference(avatar_split_clause,[status(thm)],[c311,sdef237,sdef240]) ).
cnf(c312,plain,
( op(e3,e0) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp255,plain,
( spl241
| spl51 ),
inference(avatar_split_clause,[status(thm)],[c312,sdef51,sdef241]) ).
cnf(c313,plain,
( op(e0,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp256,plain,
( spl241
| spl15 ),
inference(avatar_split_clause,[status(thm)],[c313,sdef15,sdef241]) ).
cnf(c314,plain,
( def70
| op(e0,e3) != e3
| 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])],[f4_sk]) ).
cnf(ssp257,plain,
( spl243
| spl242
| spl143 ),
inference(avatar_split_clause,[status(thm)],[c314,sdef143,sdef242,sdef243]) ).
cnf(c315,plain,
( def70
| ~ 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])],[f4_sk]) ).
cnf(ssp258,plain,
( spl244
| spl243 ),
inference(avatar_split_clause,[status(thm)],[c315,sdef243,sdef244]) ).
cnf(c316,plain,
( op(e0,e0) != e0
| ~ 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])],[f4_sk]) ).
cnf(ssp259,plain,
( spl244
| spl65 ),
inference(avatar_split_clause,[status(thm)],[c316,sdef65,sdef244]) ).
cnf(c317,plain,
( def71
| op(e0,e0) = e0
| ~ 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])],[f4_sk]) ).
cnf(ssp260,plain,
( spl245
| spl241
| spl0 ),
inference(avatar_split_clause,[status(thm)],[c317,sdef0,sdef241,sdef245]) ).
cnf(c318,plain,
( def71
| def69
| ~ 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])],[f4_sk]) ).
cnf(ssp261,plain,
( spl246
| spl245
| spl240 ),
inference(avatar_split_clause,[status(thm)],[c318,sdef240,sdef245,sdef246]) ).
cnf(c319,plain,
( def72
| ~ 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])],[f4_sk]) ).
cnf(ssp262,plain,
( spl247
| spl239 ),
inference(avatar_split_clause,[status(thm)],[c319,sdef239,sdef247]) ).
cnf(c320,plain,
( def72
| ~ 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])],[f4_sk]) ).
cnf(ssp263,plain,
( spl247
| spl244 ),
inference(avatar_split_clause,[status(thm)],[c320,sdef244,sdef247]) ).
cnf(c321,plain,
( op(e3,e1) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp264,plain,
( spl248
| spl55 ),
inference(avatar_split_clause,[status(thm)],[c321,sdef55,sdef248]) ).
cnf(c322,plain,
( op(e1,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp265,plain,
( spl248
| spl31 ),
inference(avatar_split_clause,[status(thm)],[c322,sdef31,sdef248]) ).
cnf(c323,plain,
( def73
| op(e1,e3) != e3
| 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])],[f4_sk]) ).
cnf(ssp266,plain,
( spl250
| spl249
| spl149 ),
inference(avatar_split_clause,[status(thm)],[c323,sdef149,sdef249,sdef250]) ).
cnf(c324,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])],[f4_sk]) ).
cnf(ssp267,plain,
( spl251
| spl250 ),
inference(avatar_split_clause,[status(thm)],[c324,sdef250,sdef251]) ).
cnf(c325,plain,
( op(e1,e1) != e1
| ~ 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])],[f4_sk]) ).
cnf(ssp268,plain,
( spl251
| spl67 ),
inference(avatar_split_clause,[status(thm)],[c325,sdef67,sdef251]) ).
cnf(c326,plain,
( def74
| op(e1,e1) = e1
| ~ 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])],[f4_sk]) ).
cnf(ssp269,plain,
( spl252
| spl248
| spl21 ),
inference(avatar_split_clause,[status(thm)],[c326,sdef21,sdef248,sdef252]) ).
cnf(c327,plain,
( def74
| def72
| ~ 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])],[f4_sk]) ).
cnf(ssp270,plain,
( spl253
| spl252
| spl247 ),
inference(avatar_split_clause,[status(thm)],[c327,sdef247,sdef252,sdef253]) ).
cnf(c328,plain,
( def75
| ~ 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])],[f4_sk]) ).
cnf(ssp271,plain,
( spl254
| spl246 ),
inference(avatar_split_clause,[status(thm)],[c328,sdef246,sdef254]) ).
cnf(c329,plain,
( 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])],[f4_sk]) ).
cnf(ssp272,plain,
( spl254
| spl251 ),
inference(avatar_split_clause,[status(thm)],[c329,sdef251,sdef254]) ).
cnf(c330,plain,
( op(e3,e2) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp273,plain,
( spl255
| spl59 ),
inference(avatar_split_clause,[status(thm)],[c330,sdef59,sdef255]) ).
cnf(c331,plain,
( op(e2,e3) = e3
| ~ 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])],[f4_sk]) ).
cnf(ssp274,plain,
( spl255
| spl47 ),
inference(avatar_split_clause,[status(thm)],[c331,sdef47,sdef255]) ).
cnf(p3223,plain,
( ~ spl73
| def78 ),
inference(resolution,[status(thm)],[p3176,p184]) ).
cnf(p3228,plain,
( ~ spl73
| def77
| def75 ),
inference(resolution,[status(thm)],[p3223,c336]) ).
cnf(c334,plain,
( op(e2,e2) != e2
| ~ 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])],[f4_sk]) ).
cnf(p3231,plain,
( ~ spl73
| op(e2,e2) != e2
| def75 ),
inference(resolution,[status(thm)],[p3228,c334]) ).
cnf(ssp275,plain,
( spl254
| spl70
| ~ spl73 ),
inference(avatar_split_clause,[status(thm)],[p3231,sdef70,sdef254]) ).
cnf(c68,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2177,plain,
( ~ spl15
| e3 != op(e3,e3) ),
inference(superposition,[status(thm)],[p19,c68]) ).
cnf(p3226,plain,
( ~ spl15
| e3 != e3
| def78 ),
inference(superposition,[status(thm)],[p3176,p2177]) ).
cnf(p3482,plain,
( ~ spl15
| def78 ),
inference(equality_resolution,[status(thm)],[p3226]) ).
cnf(p3483,plain,
( ~ spl15
| def77
| def75 ),
inference(resolution,[status(thm)],[p3482,c336]) ).
cnf(p3485,plain,
( ~ spl15
| op(e2,e2) != e2
| def75 ),
inference(resolution,[status(thm)],[p3483,c334]) ).
cnf(ssp276,plain,
( spl254
| spl70
| ~ spl15 ),
inference(avatar_split_clause,[status(thm)],[p3485,sdef70,sdef254]) ).
cnf(p3492,plain,
( op(e2,e2) != e2
| def75 ),
inference(resolution,[status(thm)],[p3489,c334]) ).
cnf(ssp277,plain,
( spl254
| spl70 ),
inference(avatar_split_clause,[status(thm)],[p3492,sdef70,sdef254]) ).
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,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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG146+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 04:58:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 41.38/5.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.38/5.85 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------